%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEV547+1 : TPTP v9.1.0. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n003.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 193.20s 137.66s % Output : Proof 219.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEV547+1 : TPTP v9.1.0. Released v9.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n003.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Mon Mar 31 11:41:33 EDT 2025 % 0.12/0.33 % CPUTime : % 0.53/0.56 ____ _ % 0.53/0.56 ___ / __ \_____(_)___ ________ __________ % 0.53/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.53/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.53/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.53/0.56 % 0.53/0.56 A Theorem Prover for First-Order Logic % 0.53/0.56 (ePrincess v.1.0) % 0.53/0.56 % 0.53/0.56 (c) Philipp Rümmer, 2009-2015 % 0.53/0.56 (c) Peter Backeman, 2014-2015 % 0.53/0.56 (contributions by Angelo Brillout, Peter Baumgartner) % 0.53/0.56 Free software under GNU Lesser General Public License (LGPL). % 0.53/0.56 Bug reports to peter@backeman.se % 0.53/0.56 % 0.53/0.56 For more information, visit http://user.uu.se/~petba168/breu/ % 0.53/0.56 % 0.53/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.59/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.61/0.91 Prover 0: Preprocessing ... % 2.17/1.15 Prover 0: Warning: ignoring some quantifiers % 2.39/1.18 Prover 0: Constructing countermodel ... % 19.25/5.90 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 19.33/5.96 Prover 1: Preprocessing ... % 20.17/6.11 Prover 1: Constructing countermodel ... % 22.50/6.71 Prover 1: gave up % 22.50/6.71 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 22.94/6.73 Prover 2: Preprocessing ... % 23.27/6.84 Prover 2: Warning: ignoring some quantifiers % 23.27/6.85 Prover 2: Constructing countermodel ... % 29.77/8.41 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 29.77/8.45 Prover 3: Preprocessing ... % 30.15/8.49 Prover 3: Warning: ignoring some quantifiers % 30.15/8.49 Prover 3: Constructing countermodel ... % 80.89/51.41 Prover 3: stopped % 81.12/51.61 Prover 0: stopped % 81.12/51.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 81.27/51.65 Prover 4: Preprocessing ... % 82.01/51.79 Prover 4: Warning: ignoring some quantifiers % 82.01/51.80 Prover 4: Constructing countermodel ... % 83.50/52.27 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 83.50/52.29 Prover 5: Preprocessing ... % 83.80/52.35 Prover 5: Constructing countermodel ... % 97.87/62.28 Prover 5: stopped % 98.09/62.49 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 98.09/62.51 Prover 6: Preprocessing ... % 98.29/62.57 Prover 6: Warning: ignoring some quantifiers % 98.29/62.58 Prover 6: Constructing countermodel ... % 168.25/125.15 Prover 2: stopped % 168.47/125.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 168.47/125.39 Prover 7: Preprocessing ... % 168.62/125.43 Prover 7: Proving ... % 193.20/137.66 Prover 6: proved (33584ms) % 193.20/137.66 Prover 4: stopped % 193.20/137.66 Prover 7: stopped % 193.20/137.66 % 193.20/137.66 No countermodel exists, formula is valid % 193.20/137.66 % SZS status Theorem for theBenchmark % 193.20/137.66 % 193.20/137.66 Generating proof ... Warning: ignoring some quantifiers % 212.51/148.40 found it (size 10519) % 212.51/148.40 % 212.51/148.40 % SZS output start Proof for theBenchmark % 212.51/148.40 Assumed formulas after preprocessing and simplification: % 212.51/148.40 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (atleast6p(v6) = 0 & n(v4) = v5 & n(v1) = v2 & n(v0) = v1 & n(e) = v0 & u(v2, v5) = v6 & s(v3) = v4 & s(v0) = v3 & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (m(v8, v9) = v10) | ~ (mem(v7, v10) = v11) | ? [v12] : ((v12 = 0 & mem(v7, v9) = 0) | ( ~ (v12 = 0) & mem(v7, v8) = v12))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (u(v8, v9) = v10) | ~ (mem(v7, v10) = v11) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & ~ (v12 = 0) & mem(v7, v9) = v13 & mem(v7, v8) = v12)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast16p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast15p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast15p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast14p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast14p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast13p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast13p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast12p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast12p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast11p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast11p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast10p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast10p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast9p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast9p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast8p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast8p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast7p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast7p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast6p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast6p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast5p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast5p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast4p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast4p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast3p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v8 = 0 | ~ (atleast3p(v7) = v8) | ~ (subq(v7, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & atleast2p(v9) = v11) | ( ~ (v11 = 0) & subq(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (p(v8) = v9) | ~ (mem(v7, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & subq(v7, v8) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (subq(v7, v8) = 0) | ~ (mem(v9, v8) = v10) | ? [v11] : ( ~ (v11 = 0) & mem(v9, v7) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (a(v10, v9) = v8) | ~ (a(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (m(v10, v9) = v8) | ~ (m(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (u(v10, v9) = v8) | ~ (u(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (disj(v10, v9) = v8) | ~ (disj(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (subq(v10, v9) = v8) | ~ (subq(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (mem(v10, v9) = v8) | ~ (mem(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = 0 | ~ (atleast2p(v7) = v8) | ~ (p(v9) = v10) | ? [v11] : ((v11 = 0 & subq(v7, v10) = 0) | ( ~ (v11 = 0) & mem(v9, v7) = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (m(v8, v9) = v10) | ~ (mem(v7, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & mem(v7, v9) = v11 & mem(v7, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (u(v8, v9) = v10) | ~ (mem(v7, v10) = 0) | ? [v11] : ((v11 = 0 & mem(v7, v9) = 0) | (v11 = 0 & mem(v7, v8) = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (u(v7, v9) = v10) | ~ (s(v8) = v9) | a(v7, v8) = v10) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (s(v7) = v8) | ~ (mem(v7, v8) = v9)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (disj(v7, v8) = v9) | ? [v10] : (mem(v10, v8) = 0 & mem(v10, v7) = 0)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (subq(v7, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & p(v8) = v10 & mem(v7, v10) = v11)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (subq(v7, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & mem(v10, v8) = v11 & mem(v10, v7) = 0)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast16p(v9) = v8) | ~ (atleast16p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast15p(v9) = v8) | ~ (atleast15p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast14p(v9) = v8) | ~ (atleast14p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast13p(v9) = v8) | ~ (atleast13p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast12p(v9) = v8) | ~ (atleast12p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast11p(v9) = v8) | ~ (atleast11p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast10p(v9) = v8) | ~ (atleast10p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast9p(v9) = v8) | ~ (atleast9p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast8p(v9) = v8) | ~ (atleast8p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast7p(v9) = v8) | ~ (atleast7p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast6p(v9) = v8) | ~ (atleast6p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast5p(v9) = v8) | ~ (atleast5p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast4p(v9) = v8) | ~ (atleast4p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast3p(v9) = v8) | ~ (atleast3p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (atleast2p(v9) = v8) | ~ (atleast2p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (p(v9) = v8) | ~ (p(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (n(v9) = v8) | ~ (n(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (s(v9) = v8) | ~ (s(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (s(v8) = v9) | ~ (mem(v7, v9) = 0)) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast16p(v7) = v8) | ~ (atleast15p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast16p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast15p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast15p(v7) = v8) | ~ (atleast14p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast15p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast14p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast14p(v7) = v8) | ~ (atleast13p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast14p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast13p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast13p(v7) = v8) | ~ (atleast12p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast13p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast12p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast12p(v7) = v8) | ~ (atleast11p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast12p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast11p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast11p(v7) = v8) | ~ (atleast10p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast11p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast10p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast10p(v7) = v8) | ~ (atleast9p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast10p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast9p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast9p(v7) = v8) | ~ (atleast8p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast9p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast8p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast8p(v7) = v8) | ~ (atleast7p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast8p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast7p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast7p(v7) = v8) | ~ (atleast6p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast7p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast6p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast6p(v7) = v8) | ~ (atleast5p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast6p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast5p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast5p(v7) = v8) | ~ (atleast4p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast5p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast4p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast4p(v7) = v8) | ~ (atleast3p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast4p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast3p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast3p(v7) = v8) | ~ (atleast2p(v9) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & subq(v9, v7) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast3p(v7) = v8) | ~ (subq(v9, v7) = 0) | ? [v10] : ((v10 = 0 & subq(v7, v9) = 0) | ( ~ (v10 = 0) & atleast2p(v9) = v10))) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (atleast2p(v7) = v8) | ~ (mem(v9, v7) = 0) | ? [v10] : (p(v9) = v10 & subq(v7, v10) = 0)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (p(v8) = v9) | ~ (mem(v7, v9) = 0) | subq(v7, v8) = 0) & ! [v7] : ! [v8] : ! [v9] : ( ~ (a(v7, v8) = v9) | ? [v10] : (u(v7, v10) = v9 & s(v8) = v10)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (disj(v7, v8) = 0) | ~ (mem(v9, v8) = 0) | ? [v10] : ( ~ (v10 = 0) & mem(v9, v7) = v10)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (disj(v7, v8) = 0) | ~ (mem(v9, v7) = 0) | ? [v10] : ( ~ (v10 = 0) & mem(v9, v8) = v10)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (subq(v7, v8) = 0) | ~ (mem(v9, v7) = 0) | mem(v9, v8) = 0) & ! [v7] : ! [v8] : (v8 = v7 | ~ (subq(v8, v7) = 0) | ? [v9] : ( ~ (v9 = 0) & subq(v7, v8) = v9)) & ! [v7] : ! [v8] : (v8 = v7 | ~ (subq(v7, v8) = 0) | ? [v9] : ( ~ (v9 = 0) & subq(v8, v7) = v9)) & ! [v7] : ! [v8] : ( ~ (n(v7) = v8) | a(v7, v7) = v8) & ! [v7] : ! [v8] : ( ~ (a(v7, v7) = v8) | n(v7) = v8) & ! [v7] : ! [v8] : ( ~ (subq(v7, v8) = 0) | ? [v9] : (p(v8) = v9 & mem(v7, v9) = 0)) & ! [v7] : ( ~ (atleast16p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast15p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast15p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast14p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast14p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast13p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast13p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast12p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast12p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast11p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast11p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast10p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast10p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast9p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast9p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast8p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast8p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast7p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast7p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast6p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast6p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast5p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast5p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast4p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast4p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast3p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast3p(v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & atleast2p(v8) = 0 & subq(v8, v7) = 0 & subq(v7, v8) = v9)) & ! [v7] : ( ~ (atleast2p(v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & p(v8) = v9 & subq(v7, v9) = v10 & mem(v8, v7) = 0)) & ! [v7] : ~ (mem(v7, e) = 0) & ? [v7] : ? [v8] : ? [v9] : a(v8, v7) = v9 & ? [v7] : ? [v8] : ? [v9] : m(v8, v7) = v9 & ? [v7] : ? [v8] : ? [v9] : u(v8, v7) = v9 & ? [v7] : ? [v8] : ? [v9] : disj(v8, v7) = v9 & ? [v7] : ? [v8] : ? [v9] : subq(v8, v7) = v9 & ? [v7] : ? [v8] : ? [v9] : mem(v8, v7) = v9 & ? [v7] : ? [v8] : atleast16p(v7) = v8 & ? [v7] : ? [v8] : atleast15p(v7) = v8 & ? [v7] : ? [v8] : atleast14p(v7) = v8 & ? [v7] : ? [v8] : atleast13p(v7) = v8 & ? [v7] : ? [v8] : atleast12p(v7) = v8 & ? [v7] : ? [v8] : atleast11p(v7) = v8 & ? [v7] : ? [v8] : atleast10p(v7) = v8 & ? [v7] : ? [v8] : atleast9p(v7) = v8 & ? [v7] : ? [v8] : atleast8p(v7) = v8 & ? [v7] : ? [v8] : atleast7p(v7) = v8 & ? [v7] : ? [v8] : atleast6p(v7) = v8 & ? [v7] : ? [v8] : atleast5p(v7) = v8 & ? [v7] : ? [v8] : atleast4p(v7) = v8 & ? [v7] : ? [v8] : atleast3p(v7) = v8 & ? [v7] : ? [v8] : atleast2p(v7) = v8 & ? [v7] : ? [v8] : p(v7) = v8 & ? [v7] : ? [v8] : n(v7) = v8 & ? [v7] : ? [v8] : s(v7) = v8) % 212.51/148.46 | 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 yields: % 212.51/148.46 | (1) atleast6p(all_0_0_0) = 0 & n(all_0_2_2) = all_0_1_1 & n(all_0_5_5) = all_0_4_4 & n(all_0_6_6) = all_0_5_5 & n(e) = all_0_6_6 & u(all_0_4_4, all_0_1_1) = all_0_0_0 & s(all_0_3_3) = all_0_2_2 & s(all_0_6_6) = all_0_3_3 & ! [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 % 212.84/148.50 | % 212.84/148.50 | Applying alpha-rule on (1) yields: % 212.84/148.50 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (p(v1) = v2) | ~ (mem(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subq(v0, v1) = v4)) % 212.99/148.50 | (3) ? [v0] : ? [v1] : atleast6p(v0) = v1 % 212.99/148.50 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subq(v3, v2) = v1) | ~ (subq(v3, v2) = v0)) % 212.99/148.50 | (5) ? [v0] : ? [v1] : ? [v2] : subq(v1, v0) = v2 % 212.99/148.50 | (6) ! [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))) % 212.99/148.50 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (p(v1) = v2) | ~ (mem(v0, v2) = 0) | subq(v0, v1) = 0) % 212.99/148.50 | (8) ! [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)) % 212.99/148.50 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast14p(v2) = v1) | ~ (atleast14p(v2) = v0)) % 212.99/148.50 | (10) ! [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))) % 212.99/148.50 | (11) ! [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))) % 212.99/148.50 | (12) ! [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))) % 212.99/148.50 | (13) ! [v0] : ( ~ (atleast4p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast3p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.50 | (14) ! [v0] : ( ~ (atleast10p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast9p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.50 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast4p(v2) = v1) | ~ (atleast4p(v2) = v0)) % 212.99/148.50 | (16) ! [v0] : ! [v1] : (v1 = v0 | ~ (subq(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & subq(v1, v0) = v2)) % 212.99/148.50 | (17) ! [v0] : ( ~ (atleast2p(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & p(v1) = v2 & subq(v0, v2) = v3 & mem(v1, v0) = 0)) % 212.99/148.50 | (18) ! [v0] : ~ (mem(v0, e) = 0) % 212.99/148.50 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast6p(v2) = v1) | ~ (atleast6p(v2) = v0)) % 212.99/148.50 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (atleast10p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.50 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a(v3, v2) = v1) | ~ (a(v3, v2) = v0)) % 212.99/148.50 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (atleast8p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.50 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v1) = v2) | ~ (mem(v0, v2) = 0)) % 212.99/148.50 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast13p(v2) = v1) | ~ (atleast13p(v2) = v0)) % 212.99/148.50 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (disj(v0, v1) = 0) | ~ (mem(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & mem(v2, v0) = v3)) % 212.99/148.50 | (26) atleast6p(all_0_0_0) = 0 % 212.99/148.50 | (27) ? [v0] : ? [v1] : ? [v2] : mem(v1, v0) = v2 % 212.99/148.50 | (28) ? [v0] : ? [v1] : atleast11p(v0) = v1 % 212.99/148.50 | (29) ! [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))) % 212.99/148.51 | (30) ! [v0] : ( ~ (atleast15p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast14p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.51 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0)) % 212.99/148.51 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast2p(v2) = v1) | ~ (atleast2p(v2) = v0)) % 212.99/148.51 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (atleast7p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.51 | (34) n(all_0_6_6) = all_0_5_5 % 212.99/148.51 | (35) ? [v0] : ? [v1] : atleast13p(v0) = v1 % 212.99/148.51 | (36) ! [v0] : ( ~ (atleast6p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast5p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.51 | (37) ! [v0] : ( ~ (atleast11p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast10p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.51 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m(v3, v2) = v1) | ~ (m(v3, v2) = v0)) % 212.99/148.51 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & p(v1) = v3 & mem(v0, v3) = v4)) % 212.99/148.51 | (40) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (s(v0) = v1) | ~ (mem(v0, v1) = v2)) % 212.99/148.51 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (atleast14p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.51 | (42) ? [v0] : ? [v1] : atleast2p(v0) = v1 % 212.99/148.51 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast14p(v2) = v3))) % 212.99/148.51 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast13p(v2) = v3))) % 212.99/148.51 | (45) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast7p(v2) = v3))) % 212.99/148.51 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast9p(v2) = v1) | ~ (atleast9p(v2) = v0)) % 212.99/148.51 | (47) ? [v0] : ? [v1] : atleast16p(v0) = v1 % 212.99/148.51 | (48) ! [v0] : ( ~ (atleast9p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast8p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.51 | (49) ! [v0] : ! [v1] : (v1 = v0 | ~ (subq(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & subq(v0, v1) = v2)) % 212.99/148.51 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disj(v3, v2) = v1) | ~ (disj(v3, v2) = v0)) % 212.99/148.51 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast12p(v2) = v3))) % 212.99/148.51 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast9p(v2) = v3))) % 212.99/148.51 | (53) ? [v0] : ? [v1] : atleast3p(v0) = v1 % 212.99/148.51 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (atleast6p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.51 | (55) ! [v0] : ( ~ (atleast3p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast2p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.51 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast7p(v2) = v1) | ~ (atleast7p(v2) = v0)) % 212.99/148.51 | (57) n(all_0_2_2) = all_0_1_1 % 212.99/148.51 | (58) ? [v0] : ? [v1] : atleast7p(v0) = v1 % 212.99/148.51 | (59) ! [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))) % 212.99/148.51 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (atleast15p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.52 | (61) ! [v0] : ! [v1] : ( ~ (a(v0, v0) = v1) | n(v0) = v1) % 212.99/148.52 | (62) ! [v0] : ! [v1] : ( ~ (n(v0) = v1) | a(v0, v0) = v1) % 212.99/148.52 | (63) ! [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))) % 212.99/148.52 | (64) n(e) = all_0_6_6 % 212.99/148.52 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (mem(v3, v2) = v1) | ~ (mem(v3, v2) = v0)) % 212.99/148.52 | (66) u(all_0_4_4, all_0_1_1) = all_0_0_0 % 212.99/148.52 | (67) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disj(v0, v1) = v2) | ? [v3] : (mem(v3, v1) = 0 & mem(v3, v0) = 0)) % 212.99/148.52 | (68) ! [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))) % 212.99/148.52 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast11p(v2) = v3))) % 212.99/148.52 | (70) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast10p(v2) = v3))) % 212.99/148.52 | (71) ! [v0] : ( ~ (atleast16p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast15p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.52 | (72) ! [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))) % 212.99/148.52 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (atleast11p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.52 | (74) ! [v0] : ( ~ (atleast5p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast4p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.52 | (75) ? [v0] : ? [v1] : atleast9p(v0) = v1 % 212.99/148.52 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast12p(v2) = v1) | ~ (atleast12p(v2) = v0)) % 212.99/148.52 | (77) ! [v0] : ( ~ (atleast14p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast13p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.52 | (78) ? [v0] : ? [v1] : atleast10p(v0) = v1 % 212.99/148.52 | (79) ! [v0] : ( ~ (atleast12p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast11p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 212.99/148.52 | (80) ? [v0] : ? [v1] : s(v0) = v1 % 212.99/148.52 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (atleast12p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.52 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast10p(v2) = v1) | ~ (atleast10p(v2) = v0)) % 212.99/148.52 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (u(v3, v2) = v1) | ~ (u(v3, v2) = v0)) % 212.99/148.52 | (84) ? [v0] : ? [v1] : atleast8p(v0) = v1 % 212.99/148.52 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast15p(v2) = v1) | ~ (atleast15p(v2) = v0)) % 212.99/148.52 | (86) s(all_0_6_6) = all_0_3_3 % 212.99/148.52 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast16p(v2) = v1) | ~ (atleast16p(v2) = v0)) % 212.99/148.52 | (88) n(all_0_5_5) = all_0_4_4 % 212.99/148.52 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast5p(v2) = v1) | ~ (atleast5p(v2) = v0)) % 212.99/148.52 | (90) ! [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))) % 212.99/148.52 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast5p(v2) = v3))) % 212.99/148.52 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m(v1, v2) = v3) | ~ (mem(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & mem(v0, v2) = v4 & mem(v0, v1) = 0)) % 212.99/148.53 | (93) ! [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))) % 212.99/148.53 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (atleast9p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 212.99/148.53 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (disj(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | ? [v3] : ( ~ (v3 = 0) & mem(v2, v1) = v3)) % 213.14/148.53 | (96) ! [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))) % 213.14/148.53 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (atleast3p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 213.14/148.53 | (98) ? [v0] : ? [v1] : atleast4p(v0) = v1 % 213.14/148.53 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast2p(v2) = v3))) % 213.14/148.53 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (n(v2) = v1) | ~ (n(v2) = v0)) % 213.14/148.53 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast2p(v0) = v1) | ~ (mem(v2, v0) = 0) | ? [v3] : (p(v2) = v3 & subq(v0, v3) = 0)) % 213.14/148.53 | (102) ! [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))) % 213.14/148.53 | (103) ! [v0] : ! [v1] : ( ~ (subq(v0, v1) = 0) | ? [v2] : (p(v1) = v2 & mem(v0, v2) = 0)) % 213.14/148.53 | (104) ! [v0] : ( ~ (atleast13p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast12p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 213.14/148.53 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (atleast13p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 213.14/148.53 | (106) ! [v0] : ! [v1] : ! [v2] : ( ~ (a(v0, v1) = v2) | ? [v3] : (u(v0, v3) = v2 & s(v1) = v3)) % 213.14/148.53 | (107) ! [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))) % 213.14/148.53 | (108) ? [v0] : ? [v1] : ? [v2] : a(v1, v0) = v2 % 213.14/148.53 | (109) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (atleast4p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 213.14/148.53 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast11p(v2) = v1) | ~ (atleast11p(v2) = v0)) % 213.14/148.53 | (111) ? [v0] : ? [v1] : atleast12p(v0) = v1 % 213.14/148.53 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast4p(v2) = v3))) % 213.14/148.53 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast3p(v2) = v1) | ~ (atleast3p(v2) = v0)) % 213.14/148.53 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subq(v0, v1) = 0) | ~ (mem(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & mem(v2, v0) = v4)) % 213.14/148.53 | (115) ? [v0] : ? [v1] : atleast14p(v0) = v1 % 213.14/148.53 | (116) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast3p(v2) = v3))) % 213.14/148.53 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u(v0, v2) = v3) | ~ (s(v1) = v2) | a(v0, v1) = v3) % 213.14/148.54 | (118) ? [v0] : ? [v1] : ? [v2] : disj(v1, v0) = v2 % 213.14/148.54 | (119) ? [v0] : ? [v1] : n(v0) = v1 % 213.14/148.54 | (120) ! [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))) % 213.14/148.54 | (121) ? [v0] : ? [v1] : p(v0) = v1 % 213.14/148.54 | (122) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0)) % 213.14/148.54 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (atleast2p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 213.14/148.54 | (124) ! [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))) % 213.14/148.54 | (125) ! [v0] : ! [v1] : ! [v2] : ( ~ (subq(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | mem(v2, v1) = 0) % 213.14/148.54 | (126) ? [v0] : ? [v1] : atleast5p(v0) = v1 % 213.14/148.54 | (127) ! [v0] : ( ~ (atleast7p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast6p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 213.14/148.54 | (128) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (atleast5p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 213.14/148.54 | (129) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast8p(v2) = v1) | ~ (atleast8p(v2) = v0)) % 213.14/148.54 | (130) ? [v0] : ? [v1] : ? [v2] : m(v1, v0) = v2 % 213.14/148.54 | (131) ! [v0] : ( ~ (atleast8p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast7p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 213.14/148.54 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast15p(v2) = v3))) % 213.14/148.54 | (133) ? [v0] : ? [v1] : ? [v2] : u(v1, v0) = v2 % 213.14/148.54 | (134) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast6p(v2) = v3))) % 213.14/148.54 | (135) s(all_0_3_3) = all_0_2_2 % 213.14/148.54 | (136) ! [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))) % 213.14/148.54 | (137) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast8p(v2) = v3))) % 213.14/148.54 | (138) ? [v0] : ? [v1] : atleast15p(v0) = v1 % 213.14/148.54 | (139) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & mem(v3, v1) = v4 & mem(v3, v0) = 0)) % 213.14/148.54 | % 213.14/148.54 | Instantiating formula (36) with all_0_0_0 and discharging atoms atleast6p(all_0_0_0) = 0, yields: % 213.14/148.54 | (140) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast5p(v0) = 0 & subq(v0, all_0_0_0) = 0 & subq(all_0_0_0, v0) = v1) % 213.14/148.54 | % 213.14/148.54 | Instantiating formula (62) with all_0_1_1, all_0_2_2 and discharging atoms n(all_0_2_2) = all_0_1_1, yields: % 213.14/148.54 | (141) a(all_0_2_2, all_0_2_2) = all_0_1_1 % 213.14/148.54 | % 213.14/148.54 | Instantiating formula (62) with all_0_4_4, all_0_5_5 and discharging atoms n(all_0_5_5) = all_0_4_4, yields: % 213.14/148.54 | (142) a(all_0_5_5, all_0_5_5) = all_0_4_4 % 213.14/148.54 | % 213.14/148.54 | Instantiating formula (62) with all_0_5_5, all_0_6_6 and discharging atoms n(all_0_6_6) = all_0_5_5, yields: % 213.14/148.54 | (143) a(all_0_6_6, all_0_6_6) = all_0_5_5 % 213.14/148.54 | % 213.14/148.54 | Instantiating formula (62) with all_0_6_6, e and discharging atoms n(e) = all_0_6_6, yields: % 213.14/148.54 | (144) a(e, e) = all_0_6_6 % 213.14/148.54 | % 213.14/148.54 | Instantiating (140) with all_57_0_61, all_57_1_62 yields: % 213.14/148.54 | (145) ~ (all_57_0_61 = 0) & atleast5p(all_57_1_62) = 0 & subq(all_57_1_62, all_0_0_0) = 0 & subq(all_0_0_0, all_57_1_62) = all_57_0_61 % 213.14/148.54 | % 213.14/148.54 | Applying alpha-rule on (145) yields: % 213.14/148.54 | (146) ~ (all_57_0_61 = 0) % 213.14/148.54 | (147) atleast5p(all_57_1_62) = 0 % 213.14/148.54 | (148) subq(all_57_1_62, all_0_0_0) = 0 % 213.14/148.54 | (149) subq(all_0_0_0, all_57_1_62) = all_57_0_61 % 213.14/148.54 | % 213.14/148.54 | Instantiating formula (74) with all_57_1_62 and discharging atoms atleast5p(all_57_1_62) = 0, yields: % 213.14/148.54 | (150) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast4p(v0) = 0 & subq(v0, all_57_1_62) = 0 & subq(all_57_1_62, v0) = v1) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (106) with all_0_1_1, all_0_2_2, all_0_2_2 and discharging atoms a(all_0_2_2, all_0_2_2) = all_0_1_1, yields: % 213.14/148.55 | (151) ? [v0] : (u(all_0_2_2, v0) = all_0_1_1 & s(all_0_2_2) = v0) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (106) with all_0_4_4, all_0_5_5, all_0_5_5 and discharging atoms a(all_0_5_5, all_0_5_5) = all_0_4_4, yields: % 213.14/148.55 | (152) ? [v0] : (u(all_0_5_5, v0) = all_0_4_4 & s(all_0_5_5) = v0) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (106) with all_0_5_5, all_0_6_6, all_0_6_6 and discharging atoms a(all_0_6_6, all_0_6_6) = all_0_5_5, yields: % 213.14/148.55 | (153) ? [v0] : (u(all_0_6_6, v0) = all_0_5_5 & s(all_0_6_6) = v0) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (106) with all_0_6_6, e, e and discharging atoms a(e, e) = all_0_6_6, yields: % 213.14/148.55 | (154) ? [v0] : (u(e, v0) = all_0_6_6 & s(e) = v0) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (39) with all_57_0_61, all_57_1_62, all_0_0_0 and discharging atoms subq(all_0_0_0, all_57_1_62) = all_57_0_61, yields: % 213.14/148.55 | (155) all_57_0_61 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_57_1_62) = v0 & mem(all_0_0_0, v0) = v1) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (139) with all_57_0_61, all_57_1_62, all_0_0_0 and discharging atoms subq(all_0_0_0, all_57_1_62) = all_57_0_61, yields: % 213.14/148.55 | (156) all_57_0_61 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_57_1_62) = v1 & mem(v0, all_0_0_0) = 0) % 213.14/148.55 | % 213.14/148.55 | Instantiating (154) with all_66_0_64 yields: % 213.14/148.55 | (157) u(e, all_66_0_64) = all_0_6_6 & s(e) = all_66_0_64 % 213.14/148.55 | % 213.14/148.55 | Applying alpha-rule on (157) yields: % 213.14/148.55 | (158) u(e, all_66_0_64) = all_0_6_6 % 213.14/148.55 | (159) s(e) = all_66_0_64 % 213.14/148.55 | % 213.14/148.55 | Instantiating (153) with all_68_0_65 yields: % 213.14/148.55 | (160) u(all_0_6_6, all_68_0_65) = all_0_5_5 & s(all_0_6_6) = all_68_0_65 % 213.14/148.55 | % 213.14/148.55 | Applying alpha-rule on (160) yields: % 213.14/148.55 | (161) u(all_0_6_6, all_68_0_65) = all_0_5_5 % 213.14/148.55 | (162) s(all_0_6_6) = all_68_0_65 % 213.14/148.55 | % 213.14/148.55 | Instantiating (152) with all_70_0_66 yields: % 213.14/148.55 | (163) u(all_0_5_5, all_70_0_66) = all_0_4_4 & s(all_0_5_5) = all_70_0_66 % 213.14/148.55 | % 213.14/148.55 | Applying alpha-rule on (163) yields: % 213.14/148.55 | (164) u(all_0_5_5, all_70_0_66) = all_0_4_4 % 213.14/148.55 | (165) s(all_0_5_5) = all_70_0_66 % 213.14/148.55 | % 213.14/148.55 | Instantiating (151) with all_72_0_67 yields: % 213.14/148.55 | (166) u(all_0_2_2, all_72_0_67) = all_0_1_1 & s(all_0_2_2) = all_72_0_67 % 213.14/148.55 | % 213.14/148.55 | Applying alpha-rule on (166) yields: % 213.14/148.55 | (167) u(all_0_2_2, all_72_0_67) = all_0_1_1 % 213.14/148.55 | (168) s(all_0_2_2) = all_72_0_67 % 213.14/148.55 | % 213.14/148.55 | Instantiating (150) with all_74_0_68, all_74_1_69 yields: % 213.14/148.55 | (169) ~ (all_74_0_68 = 0) & atleast4p(all_74_1_69) = 0 & subq(all_74_1_69, all_57_1_62) = 0 & subq(all_57_1_62, all_74_1_69) = all_74_0_68 % 213.14/148.55 | % 213.14/148.55 | Applying alpha-rule on (169) yields: % 213.14/148.55 | (170) ~ (all_74_0_68 = 0) % 213.14/148.55 | (171) atleast4p(all_74_1_69) = 0 % 213.14/148.55 | (172) subq(all_74_1_69, all_57_1_62) = 0 % 213.14/148.55 | (173) subq(all_57_1_62, all_74_1_69) = all_74_0_68 % 213.14/148.55 | % 213.14/148.55 +-Applying beta-rule and splitting (155), into two cases. % 213.14/148.55 |-Branch one: % 213.14/148.55 | (174) all_57_0_61 = 0 % 213.14/148.55 | % 213.14/148.55 | Equations (174) can reduce 146 to: % 213.14/148.55 | (175) $false % 213.14/148.55 | % 213.14/148.55 |-The branch is then unsatisfiable % 213.14/148.55 |-Branch two: % 213.14/148.55 | (146) ~ (all_57_0_61 = 0) % 213.14/148.55 | (177) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_57_1_62) = v0 & mem(all_0_0_0, v0) = v1) % 213.14/148.55 | % 213.14/148.55 +-Applying beta-rule and splitting (156), into two cases. % 213.14/148.55 |-Branch one: % 213.14/148.55 | (174) all_57_0_61 = 0 % 213.14/148.55 | % 213.14/148.55 | Equations (174) can reduce 146 to: % 213.14/148.55 | (175) $false % 213.14/148.55 | % 213.14/148.55 |-The branch is then unsatisfiable % 213.14/148.55 |-Branch two: % 213.14/148.55 | (146) ~ (all_57_0_61 = 0) % 213.14/148.55 | (181) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_57_1_62) = v1 & mem(v0, all_0_0_0) = 0) % 213.14/148.55 | % 213.14/148.55 | Instantiating (181) with all_85_0_72, all_85_1_73 yields: % 213.14/148.55 | (182) ~ (all_85_0_72 = 0) & mem(all_85_1_73, all_57_1_62) = all_85_0_72 & mem(all_85_1_73, all_0_0_0) = 0 % 213.14/148.55 | % 213.14/148.55 | Applying alpha-rule on (182) yields: % 213.14/148.55 | (183) ~ (all_85_0_72 = 0) % 213.14/148.55 | (184) mem(all_85_1_73, all_57_1_62) = all_85_0_72 % 213.14/148.55 | (185) mem(all_85_1_73, all_0_0_0) = 0 % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (122) with all_0_6_6, all_68_0_65, all_0_3_3 and discharging atoms s(all_0_6_6) = all_68_0_65, s(all_0_6_6) = all_0_3_3, yields: % 213.14/148.55 | (186) all_68_0_65 = all_0_3_3 % 213.14/148.55 | % 213.14/148.55 | From (186) and (161) follows: % 213.14/148.55 | (187) u(all_0_6_6, all_0_3_3) = all_0_5_5 % 213.14/148.55 | % 213.14/148.55 | From (186) and (162) follows: % 213.14/148.55 | (86) s(all_0_6_6) = all_0_3_3 % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (13) with all_74_1_69 and discharging atoms atleast4p(all_74_1_69) = 0, yields: % 213.14/148.55 | (189) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast3p(v0) = 0 & subq(v0, all_74_1_69) = 0 & subq(all_74_1_69, v0) = v1) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (39) with all_74_0_68, all_74_1_69, all_57_1_62 and discharging atoms subq(all_57_1_62, all_74_1_69) = all_74_0_68, yields: % 213.14/148.55 | (190) all_74_0_68 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_74_1_69) = v0 & mem(all_57_1_62, v0) = v1) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (139) with all_74_0_68, all_74_1_69, all_57_1_62 and discharging atoms subq(all_57_1_62, all_74_1_69) = all_74_0_68, yields: % 213.14/148.55 | (191) all_74_0_68 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_74_1_69) = v1 & mem(v0, all_57_1_62) = 0) % 213.14/148.55 | % 213.14/148.55 | Instantiating formula (114) with all_85_0_72, all_85_1_73, all_57_1_62, all_74_1_69 and discharging atoms subq(all_74_1_69, all_57_1_62) = 0, mem(all_85_1_73, all_57_1_62) = all_85_0_72, yields: % 213.14/148.55 | (192) all_85_0_72 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_85_1_73, all_74_1_69) = v0) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_85_1_73 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_85_1_73, all_0_0_0) = 0, yields: % 213.14/148.56 | (193) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_0_1_1) = 0) | (v0 = 0 & mem(all_85_1_73, all_0_4_4) = 0)) % 213.14/148.56 | % 213.14/148.56 | Instantiating (193) with all_96_0_74 yields: % 213.14/148.56 | (194) (all_96_0_74 = 0 & mem(all_85_1_73, all_0_1_1) = 0) | (all_96_0_74 = 0 & mem(all_85_1_73, all_0_4_4) = 0) % 213.14/148.56 | % 213.14/148.56 | Instantiating (189) with all_99_0_76, all_99_1_77 yields: % 213.14/148.56 | (195) ~ (all_99_0_76 = 0) & atleast3p(all_99_1_77) = 0 & subq(all_99_1_77, all_74_1_69) = 0 & subq(all_74_1_69, all_99_1_77) = all_99_0_76 % 213.14/148.56 | % 213.14/148.56 | Applying alpha-rule on (195) yields: % 213.14/148.56 | (196) ~ (all_99_0_76 = 0) % 213.14/148.56 | (197) atleast3p(all_99_1_77) = 0 % 213.14/148.56 | (198) subq(all_99_1_77, all_74_1_69) = 0 % 213.14/148.56 | (199) subq(all_74_1_69, all_99_1_77) = all_99_0_76 % 213.14/148.56 | % 213.14/148.56 +-Applying beta-rule and splitting (190), into two cases. % 213.14/148.56 |-Branch one: % 213.14/148.56 | (200) all_74_0_68 = 0 % 213.14/148.56 | % 213.14/148.56 | Equations (200) can reduce 170 to: % 213.14/148.56 | (175) $false % 213.14/148.56 | % 213.14/148.56 |-The branch is then unsatisfiable % 213.14/148.56 |-Branch two: % 213.14/148.56 | (170) ~ (all_74_0_68 = 0) % 213.14/148.56 | (203) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_74_1_69) = v0 & mem(all_57_1_62, v0) = v1) % 213.14/148.56 | % 213.14/148.56 +-Applying beta-rule and splitting (191), into two cases. % 213.14/148.56 |-Branch one: % 213.14/148.56 | (200) all_74_0_68 = 0 % 213.14/148.56 | % 213.14/148.56 | Equations (200) can reduce 170 to: % 213.14/148.56 | (175) $false % 213.14/148.56 | % 213.14/148.56 |-The branch is then unsatisfiable % 213.14/148.56 |-Branch two: % 213.14/148.56 | (170) ~ (all_74_0_68 = 0) % 213.14/148.56 | (207) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_74_1_69) = v1 & mem(v0, all_57_1_62) = 0) % 213.14/148.56 | % 213.14/148.56 | Instantiating (207) with all_110_0_80, all_110_1_81 yields: % 213.14/148.56 | (208) ~ (all_110_0_80 = 0) & mem(all_110_1_81, all_74_1_69) = all_110_0_80 & mem(all_110_1_81, all_57_1_62) = 0 % 213.14/148.56 | % 213.14/148.56 | Applying alpha-rule on (208) yields: % 213.14/148.56 | (209) ~ (all_110_0_80 = 0) % 213.14/148.56 | (210) mem(all_110_1_81, all_74_1_69) = all_110_0_80 % 213.14/148.56 | (211) mem(all_110_1_81, all_57_1_62) = 0 % 213.14/148.56 | % 213.14/148.56 +-Applying beta-rule and splitting (192), into two cases. % 213.14/148.56 |-Branch one: % 213.14/148.56 | (212) all_85_0_72 = 0 % 213.14/148.56 | % 213.14/148.56 | Equations (212) can reduce 183 to: % 213.14/148.56 | (175) $false % 213.14/148.56 | % 213.14/148.56 |-The branch is then unsatisfiable % 213.14/148.56 |-Branch two: % 213.14/148.56 | (183) ~ (all_85_0_72 = 0) % 213.14/148.56 | (215) ? [v0] : ( ~ (v0 = 0) & mem(all_85_1_73, all_74_1_69) = v0) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (55) with all_99_1_77 and discharging atoms atleast3p(all_99_1_77) = 0, yields: % 213.14/148.56 | (216) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast2p(v0) = 0 & subq(v0, all_99_1_77) = 0 & subq(all_99_1_77, v0) = v1) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (139) with all_99_0_76, all_99_1_77, all_74_1_69 and discharging atoms subq(all_74_1_69, all_99_1_77) = all_99_0_76, yields: % 213.14/148.56 | (217) all_99_0_76 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_99_1_77) = v1 & mem(v0, all_74_1_69) = 0) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (114) with all_110_0_80, all_110_1_81, all_74_1_69, all_99_1_77 and discharging atoms subq(all_99_1_77, all_74_1_69) = 0, mem(all_110_1_81, all_74_1_69) = all_110_0_80, yields: % 213.14/148.56 | (218) all_110_0_80 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_110_1_81, all_99_1_77) = v0) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (125) with all_110_1_81, all_0_0_0, all_57_1_62 and discharging atoms subq(all_57_1_62, all_0_0_0) = 0, mem(all_110_1_81, all_57_1_62) = 0, yields: % 213.14/148.56 | (219) mem(all_110_1_81, all_0_0_0) = 0 % 213.14/148.56 | % 213.14/148.56 | Instantiating (216) with all_129_0_84, all_129_1_85 yields: % 213.14/148.56 | (220) ~ (all_129_0_84 = 0) & atleast2p(all_129_1_85) = 0 & subq(all_129_1_85, all_99_1_77) = 0 & subq(all_99_1_77, all_129_1_85) = all_129_0_84 % 213.14/148.56 | % 213.14/148.56 | Applying alpha-rule on (220) yields: % 213.14/148.56 | (221) ~ (all_129_0_84 = 0) % 213.14/148.56 | (222) atleast2p(all_129_1_85) = 0 % 213.14/148.56 | (223) subq(all_129_1_85, all_99_1_77) = 0 % 213.14/148.56 | (224) subq(all_99_1_77, all_129_1_85) = all_129_0_84 % 213.14/148.56 | % 213.14/148.56 +-Applying beta-rule and splitting (217), into two cases. % 213.14/148.56 |-Branch one: % 213.14/148.56 | (225) all_99_0_76 = 0 % 213.14/148.56 | % 213.14/148.56 | Equations (225) can reduce 196 to: % 213.14/148.56 | (175) $false % 213.14/148.56 | % 213.14/148.56 |-The branch is then unsatisfiable % 213.14/148.56 |-Branch two: % 213.14/148.56 | (196) ~ (all_99_0_76 = 0) % 213.14/148.56 | (228) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_99_1_77) = v1 & mem(v0, all_74_1_69) = 0) % 213.14/148.56 | % 213.14/148.56 | Instantiating (228) with all_135_0_86, all_135_1_87 yields: % 213.14/148.56 | (229) ~ (all_135_0_86 = 0) & mem(all_135_1_87, all_99_1_77) = all_135_0_86 & mem(all_135_1_87, all_74_1_69) = 0 % 213.14/148.56 | % 213.14/148.56 | Applying alpha-rule on (229) yields: % 213.14/148.56 | (230) ~ (all_135_0_86 = 0) % 213.14/148.56 | (231) mem(all_135_1_87, all_99_1_77) = all_135_0_86 % 213.14/148.56 | (232) mem(all_135_1_87, all_74_1_69) = 0 % 213.14/148.56 | % 213.14/148.56 +-Applying beta-rule and splitting (218), into two cases. % 213.14/148.56 |-Branch one: % 213.14/148.56 | (233) all_110_0_80 = 0 % 213.14/148.56 | % 213.14/148.56 | Equations (233) can reduce 209 to: % 213.14/148.56 | (175) $false % 213.14/148.56 | % 213.14/148.56 |-The branch is then unsatisfiable % 213.14/148.56 |-Branch two: % 213.14/148.56 | (209) ~ (all_110_0_80 = 0) % 213.14/148.56 | (236) ? [v0] : ( ~ (v0 = 0) & mem(all_110_1_81, all_99_1_77) = v0) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (17) with all_129_1_85 and discharging atoms atleast2p(all_129_1_85) = 0, yields: % 213.14/148.56 | (237) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v0) = v1 & subq(all_129_1_85, v1) = v2 & mem(v0, all_129_1_85) = 0) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (39) with all_129_0_84, all_129_1_85, all_99_1_77 and discharging atoms subq(all_99_1_77, all_129_1_85) = all_129_0_84, yields: % 213.14/148.56 | (238) all_129_0_84 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_129_1_85) = v0 & mem(all_99_1_77, v0) = v1) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (139) with all_129_0_84, all_129_1_85, all_99_1_77 and discharging atoms subq(all_99_1_77, all_129_1_85) = all_129_0_84, yields: % 213.14/148.56 | (239) all_129_0_84 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_129_1_85) = v1 & mem(v0, all_99_1_77) = 0) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (114) with all_135_0_86, all_135_1_87, all_99_1_77, all_129_1_85 and discharging atoms subq(all_129_1_85, all_99_1_77) = 0, mem(all_135_1_87, all_99_1_77) = all_135_0_86, yields: % 213.14/148.56 | (240) all_135_0_86 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_135_1_87, all_129_1_85) = v0) % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (125) with all_135_1_87, all_57_1_62, all_74_1_69 and discharging atoms subq(all_74_1_69, all_57_1_62) = 0, mem(all_135_1_87, all_74_1_69) = 0, yields: % 213.14/148.56 | (241) mem(all_135_1_87, all_57_1_62) = 0 % 213.14/148.56 | % 213.14/148.56 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_110_1_81 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_110_1_81, all_0_0_0) = 0, yields: % 213.14/148.57 | (242) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_1_1) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_4_4) = 0)) % 213.14/148.57 | % 213.14/148.57 | Instantiating (242) with all_162_0_92 yields: % 213.14/148.57 | (243) (all_162_0_92 = 0 & mem(all_110_1_81, all_0_1_1) = 0) | (all_162_0_92 = 0 & mem(all_110_1_81, all_0_4_4) = 0) % 213.14/148.57 | % 213.14/148.57 | Instantiating (237) with all_165_0_94, all_165_1_95, all_165_2_96 yields: % 213.14/148.57 | (244) ~ (all_165_0_94 = 0) & p(all_165_2_96) = all_165_1_95 & subq(all_129_1_85, all_165_1_95) = all_165_0_94 & mem(all_165_2_96, all_129_1_85) = 0 % 213.14/148.57 | % 213.14/148.57 | Applying alpha-rule on (244) yields: % 213.14/148.57 | (245) ~ (all_165_0_94 = 0) % 213.14/148.57 | (246) p(all_165_2_96) = all_165_1_95 % 213.14/148.57 | (247) subq(all_129_1_85, all_165_1_95) = all_165_0_94 % 213.14/148.57 | (248) mem(all_165_2_96, all_129_1_85) = 0 % 213.14/148.57 | % 213.14/148.57 +-Applying beta-rule and splitting (238), into two cases. % 213.14/148.57 |-Branch one: % 213.14/148.57 | (249) all_129_0_84 = 0 % 213.14/148.57 | % 213.14/148.57 | Equations (249) can reduce 221 to: % 213.14/148.57 | (175) $false % 213.14/148.57 | % 213.14/148.57 |-The branch is then unsatisfiable % 213.14/148.57 |-Branch two: % 213.14/148.57 | (221) ~ (all_129_0_84 = 0) % 213.14/148.57 | (252) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_129_1_85) = v0 & mem(all_99_1_77, v0) = v1) % 213.14/148.57 | % 213.14/148.57 +-Applying beta-rule and splitting (239), into two cases. % 213.14/148.57 |-Branch one: % 213.14/148.57 | (249) all_129_0_84 = 0 % 213.14/148.57 | % 213.14/148.57 | Equations (249) can reduce 221 to: % 213.14/148.57 | (175) $false % 213.14/148.57 | % 213.14/148.57 |-The branch is then unsatisfiable % 213.14/148.57 |-Branch two: % 213.14/148.57 | (221) ~ (all_129_0_84 = 0) % 213.14/148.57 | (256) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_129_1_85) = v1 & mem(v0, all_99_1_77) = 0) % 213.14/148.57 | % 213.14/148.57 | Instantiating (256) with all_181_0_100, all_181_1_101 yields: % 213.14/148.57 | (257) ~ (all_181_0_100 = 0) & mem(all_181_1_101, all_129_1_85) = all_181_0_100 & mem(all_181_1_101, all_99_1_77) = 0 % 213.14/148.57 | % 213.14/148.57 | Applying alpha-rule on (257) yields: % 213.14/148.57 | (258) ~ (all_181_0_100 = 0) % 213.14/148.57 | (259) mem(all_181_1_101, all_129_1_85) = all_181_0_100 % 213.14/148.57 | (260) mem(all_181_1_101, all_99_1_77) = 0 % 213.14/148.57 | % 213.14/148.57 +-Applying beta-rule and splitting (240), into two cases. % 213.14/148.57 |-Branch one: % 213.14/148.57 | (261) all_135_0_86 = 0 % 213.14/148.57 | % 213.14/148.57 | Equations (261) can reduce 230 to: % 213.14/148.57 | (175) $false % 213.14/148.57 | % 213.14/148.57 |-The branch is then unsatisfiable % 213.14/148.57 |-Branch two: % 213.14/148.57 | (230) ~ (all_135_0_86 = 0) % 213.14/148.57 | (264) ? [v0] : ( ~ (v0 = 0) & mem(all_135_1_87, all_129_1_85) = v0) % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (39) with all_165_0_94, all_165_1_95, all_129_1_85 and discharging atoms subq(all_129_1_85, all_165_1_95) = all_165_0_94, yields: % 213.14/148.57 | (265) all_165_0_94 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_165_1_95) = v0 & mem(all_129_1_85, v0) = v1) % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (139) with all_165_0_94, all_165_1_95, all_129_1_85 and discharging atoms subq(all_129_1_85, all_165_1_95) = all_165_0_94, yields: % 213.14/148.57 | (266) all_165_0_94 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_165_1_95) = v1 & mem(v0, all_129_1_85) = 0) % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (125) with all_181_1_101, all_74_1_69, all_99_1_77 and discharging atoms subq(all_99_1_77, all_74_1_69) = 0, mem(all_181_1_101, all_99_1_77) = 0, yields: % 213.14/148.57 | (267) mem(all_181_1_101, all_74_1_69) = 0 % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (125) with all_165_2_96, all_99_1_77, all_129_1_85 and discharging atoms subq(all_129_1_85, all_99_1_77) = 0, mem(all_165_2_96, all_129_1_85) = 0, yields: % 213.14/148.57 | (268) mem(all_165_2_96, all_99_1_77) = 0 % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (125) with all_135_1_87, all_0_0_0, all_57_1_62 and discharging atoms subq(all_57_1_62, all_0_0_0) = 0, mem(all_135_1_87, all_57_1_62) = 0, yields: % 213.14/148.57 | (269) mem(all_135_1_87, all_0_0_0) = 0 % 213.14/148.57 | % 213.14/148.57 +-Applying beta-rule and splitting (265), into two cases. % 213.14/148.57 |-Branch one: % 213.14/148.57 | (270) all_165_0_94 = 0 % 213.14/148.57 | % 213.14/148.57 | Equations (270) can reduce 245 to: % 213.14/148.57 | (175) $false % 213.14/148.57 | % 213.14/148.57 |-The branch is then unsatisfiable % 213.14/148.57 |-Branch two: % 213.14/148.57 | (245) ~ (all_165_0_94 = 0) % 213.14/148.57 | (273) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_165_1_95) = v0 & mem(all_129_1_85, v0) = v1) % 213.14/148.57 | % 213.14/148.57 +-Applying beta-rule and splitting (266), into two cases. % 213.14/148.57 |-Branch one: % 213.14/148.57 | (270) all_165_0_94 = 0 % 213.14/148.57 | % 213.14/148.57 | Equations (270) can reduce 245 to: % 213.14/148.57 | (175) $false % 213.14/148.57 | % 213.14/148.57 |-The branch is then unsatisfiable % 213.14/148.57 |-Branch two: % 213.14/148.57 | (245) ~ (all_165_0_94 = 0) % 213.14/148.57 | (277) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_165_1_95) = v1 & mem(v0, all_129_1_85) = 0) % 213.14/148.57 | % 213.14/148.57 | Instantiating (277) with all_212_0_106, all_212_1_107 yields: % 213.14/148.57 | (278) ~ (all_212_0_106 = 0) & mem(all_212_1_107, all_165_1_95) = all_212_0_106 & mem(all_212_1_107, all_129_1_85) = 0 % 213.14/148.57 | % 213.14/148.57 | Applying alpha-rule on (278) yields: % 213.14/148.57 | (279) ~ (all_212_0_106 = 0) % 213.14/148.57 | (280) mem(all_212_1_107, all_165_1_95) = all_212_0_106 % 213.14/148.57 | (281) mem(all_212_1_107, all_129_1_85) = 0 % 213.14/148.57 | % 213.14/148.57 +-Applying beta-rule and splitting (194), into two cases. % 213.14/148.57 |-Branch one: % 213.14/148.57 | (282) all_96_0_74 = 0 & mem(all_85_1_73, all_0_1_1) = 0 % 213.14/148.57 | % 213.14/148.57 | Applying alpha-rule on (282) yields: % 213.14/148.57 | (283) all_96_0_74 = 0 % 213.14/148.57 | (284) mem(all_85_1_73, all_0_1_1) = 0 % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (2) with all_212_0_106, all_165_1_95, all_165_2_96, all_212_1_107 and discharging atoms p(all_165_2_96) = all_165_1_95, mem(all_212_1_107, all_165_1_95) = all_212_0_106, yields: % 213.14/148.57 | (285) all_212_0_106 = 0 | ? [v0] : ( ~ (v0 = 0) & subq(all_212_1_107, all_165_2_96) = v0) % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (125) with all_212_1_107, all_99_1_77, all_129_1_85 and discharging atoms subq(all_129_1_85, all_99_1_77) = 0, mem(all_212_1_107, all_129_1_85) = 0, yields: % 213.14/148.57 | (286) mem(all_212_1_107, all_99_1_77) = 0 % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (125) with all_181_1_101, all_57_1_62, all_74_1_69 and discharging atoms subq(all_74_1_69, all_57_1_62) = 0, mem(all_181_1_101, all_74_1_69) = 0, yields: % 213.14/148.57 | (287) mem(all_181_1_101, all_57_1_62) = 0 % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (125) with all_165_2_96, all_74_1_69, all_99_1_77 and discharging atoms subq(all_99_1_77, all_74_1_69) = 0, mem(all_165_2_96, all_99_1_77) = 0, yields: % 213.14/148.57 | (288) mem(all_165_2_96, all_74_1_69) = 0 % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_135_1_87 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_135_1_87, all_0_0_0) = 0, yields: % 213.14/148.57 | (289) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_1_1) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_4_4) = 0)) % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_85_1_73 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_85_1_73, all_0_1_1) = 0, yields: % 213.14/148.57 | (290) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_72_0_67) = 0) | (v0 = 0 & mem(all_85_1_73, all_0_2_2) = 0)) % 213.14/148.57 | % 213.14/148.57 | Instantiating (290) with all_226_0_108 yields: % 213.14/148.57 | (291) (all_226_0_108 = 0 & mem(all_85_1_73, all_72_0_67) = 0) | (all_226_0_108 = 0 & mem(all_85_1_73, all_0_2_2) = 0) % 213.14/148.57 | % 213.14/148.57 | Instantiating (289) with all_227_0_109 yields: % 213.14/148.57 | (292) (all_227_0_109 = 0 & mem(all_135_1_87, all_0_1_1) = 0) | (all_227_0_109 = 0 & mem(all_135_1_87, all_0_4_4) = 0) % 213.14/148.57 | % 213.14/148.57 +-Applying beta-rule and splitting (285), into two cases. % 213.14/148.57 |-Branch one: % 213.14/148.57 | (293) all_212_0_106 = 0 % 213.14/148.57 | % 213.14/148.57 | Equations (293) can reduce 279 to: % 213.14/148.57 | (175) $false % 213.14/148.57 | % 213.14/148.57 |-The branch is then unsatisfiable % 213.14/148.57 |-Branch two: % 213.14/148.57 | (279) ~ (all_212_0_106 = 0) % 213.14/148.57 | (296) ? [v0] : ( ~ (v0 = 0) & subq(all_212_1_107, all_165_2_96) = v0) % 213.14/148.57 | % 213.14/148.57 | Instantiating (296) with all_232_0_110 yields: % 213.14/148.57 | (297) ~ (all_232_0_110 = 0) & subq(all_212_1_107, all_165_2_96) = all_232_0_110 % 213.14/148.57 | % 213.14/148.57 | Applying alpha-rule on (297) yields: % 213.14/148.57 | (298) ~ (all_232_0_110 = 0) % 213.14/148.57 | (299) subq(all_212_1_107, all_165_2_96) = all_232_0_110 % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (139) with all_232_0_110, all_165_2_96, all_212_1_107 and discharging atoms subq(all_212_1_107, all_165_2_96) = all_232_0_110, yields: % 213.14/148.57 | (300) all_232_0_110 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_212_1_107) = 0 & mem(v0, all_165_2_96) = v1) % 213.14/148.57 | % 213.14/148.57 | Instantiating formula (125) with all_212_1_107, all_74_1_69, all_99_1_77 and discharging atoms subq(all_99_1_77, all_74_1_69) = 0, mem(all_212_1_107, all_99_1_77) = 0, yields: % 213.14/148.57 | (301) mem(all_212_1_107, all_74_1_69) = 0 % 213.14/148.57 | % 213.14/148.58 | Instantiating formula (125) with all_181_1_101, all_0_0_0, all_57_1_62 and discharging atoms subq(all_57_1_62, all_0_0_0) = 0, mem(all_181_1_101, all_57_1_62) = 0, yields: % 213.14/148.58 | (302) mem(all_181_1_101, all_0_0_0) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (125) with all_165_2_96, all_57_1_62, all_74_1_69 and discharging atoms subq(all_74_1_69, all_57_1_62) = 0, mem(all_165_2_96, all_74_1_69) = 0, yields: % 213.14/148.58 | (303) mem(all_165_2_96, all_57_1_62) = 0 % 213.14/148.58 | % 213.14/148.58 +-Applying beta-rule and splitting (300), into two cases. % 213.14/148.58 |-Branch one: % 213.14/148.58 | (304) all_232_0_110 = 0 % 213.14/148.58 | % 213.14/148.58 | Equations (304) can reduce 298 to: % 213.14/148.58 | (175) $false % 213.14/148.58 | % 213.14/148.58 |-The branch is then unsatisfiable % 213.14/148.58 |-Branch two: % 213.14/148.58 | (298) ~ (all_232_0_110 = 0) % 213.14/148.58 | (307) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_212_1_107) = 0 & mem(v0, all_165_2_96) = v1) % 213.14/148.58 | % 213.14/148.58 | Instantiating (307) with all_244_0_111, all_244_1_112 yields: % 213.14/148.58 | (308) ~ (all_244_0_111 = 0) & mem(all_244_1_112, all_212_1_107) = 0 & mem(all_244_1_112, all_165_2_96) = all_244_0_111 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (308) yields: % 213.14/148.58 | (309) ~ (all_244_0_111 = 0) % 213.14/148.58 | (310) mem(all_244_1_112, all_212_1_107) = 0 % 213.14/148.58 | (311) mem(all_244_1_112, all_165_2_96) = all_244_0_111 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (125) with all_212_1_107, all_57_1_62, all_74_1_69 and discharging atoms subq(all_74_1_69, all_57_1_62) = 0, mem(all_212_1_107, all_74_1_69) = 0, yields: % 213.14/148.58 | (312) mem(all_212_1_107, all_57_1_62) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_181_1_101 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_181_1_101, all_0_0_0) = 0, yields: % 213.14/148.58 | (313) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_1_1) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_4_4) = 0)) % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (125) with all_165_2_96, all_0_0_0, all_57_1_62 and discharging atoms subq(all_57_1_62, all_0_0_0) = 0, mem(all_165_2_96, all_57_1_62) = 0, yields: % 213.14/148.58 | (314) mem(all_165_2_96, all_0_0_0) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating (313) with all_252_0_113 yields: % 213.14/148.58 | (315) (all_252_0_113 = 0 & mem(all_181_1_101, all_0_1_1) = 0) | (all_252_0_113 = 0 & mem(all_181_1_101, all_0_4_4) = 0) % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (125) with all_212_1_107, all_0_0_0, all_57_1_62 and discharging atoms subq(all_57_1_62, all_0_0_0) = 0, mem(all_212_1_107, all_57_1_62) = 0, yields: % 213.14/148.58 | (316) mem(all_212_1_107, all_0_0_0) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_165_2_96 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_165_2_96, all_0_0_0) = 0, yields: % 213.14/148.58 | (317) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_1_1) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_4_4) = 0)) % 213.14/148.58 | % 213.14/148.58 | Instantiating (317) with all_259_0_114 yields: % 213.14/148.58 | (318) (all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0) | (all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0) % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_212_1_107 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_212_1_107, all_0_0_0) = 0, yields: % 213.14/148.58 | (319) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_1_1) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_4_4) = 0)) % 213.14/148.58 | % 213.14/148.58 | Instantiating (319) with all_265_0_115 yields: % 213.14/148.58 | (320) (all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0) | (all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0) % 213.14/148.58 | % 213.14/148.58 +-Applying beta-rule and splitting (243), into two cases. % 213.14/148.58 |-Branch one: % 213.14/148.58 | (321) all_162_0_92 = 0 & mem(all_110_1_81, all_0_1_1) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (321) yields: % 213.14/148.58 | (322) all_162_0_92 = 0 % 213.14/148.58 | (323) mem(all_110_1_81, all_0_1_1) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_110_1_81, all_0_1_1) = 0, yields: % 213.14/148.58 | (324) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_72_0_67) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_2_2) = 0)) % 213.14/148.58 | % 213.14/148.58 | Instantiating (324) with all_273_0_116 yields: % 213.14/148.58 | (325) (all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0) | (all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0) % 213.14/148.58 | % 213.14/148.58 +-Applying beta-rule and splitting (291), into two cases. % 213.14/148.58 |-Branch one: % 213.14/148.58 | (326) all_226_0_108 = 0 & mem(all_85_1_73, all_72_0_67) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (326) yields: % 213.14/148.58 | (327) all_226_0_108 = 0 % 213.14/148.58 | (328) mem(all_85_1_73, all_72_0_67) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_85_1_73 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_85_1_73, all_72_0_67) = 0, yields: % 213.14/148.58 | (329) all_85_1_73 = all_0_2_2 % 213.14/148.58 | % 213.14/148.58 | From (329) and (184) follows: % 213.14/148.58 | (330) mem(all_0_2_2, all_57_1_62) = all_85_0_72 % 213.14/148.58 | % 213.14/148.58 +-Applying beta-rule and splitting (292), into two cases. % 213.14/148.58 |-Branch one: % 213.14/148.58 | (331) all_227_0_109 = 0 & mem(all_135_1_87, all_0_1_1) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (331) yields: % 213.14/148.58 | (332) all_227_0_109 = 0 % 213.14/148.58 | (333) mem(all_135_1_87, all_0_1_1) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_135_1_87, all_0_1_1) = 0, yields: % 213.14/148.58 | (334) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_2_2) = 0)) % 213.14/148.58 | % 213.14/148.58 | Instantiating (334) with all_292_0_117 yields: % 213.14/148.58 | (335) (all_292_0_117 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (all_292_0_117 = 0 & mem(all_135_1_87, all_0_2_2) = 0) % 213.14/148.58 | % 213.14/148.58 +-Applying beta-rule and splitting (325), into two cases. % 213.14/148.58 |-Branch one: % 213.14/148.58 | (336) all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (336) yields: % 213.14/148.58 | (337) all_273_0_116 = 0 % 213.14/148.58 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 213.14/148.58 | (339) all_110_1_81 = all_0_2_2 % 213.14/148.58 | % 213.14/148.58 | From (339) and (211) follows: % 213.14/148.58 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.14/148.58 | (212) all_85_0_72 = 0 % 213.14/148.58 | % 213.14/148.58 | Equations (212) can reduce 183 to: % 213.14/148.58 | (175) $false % 213.14/148.58 | % 213.14/148.58 |-The branch is then unsatisfiable % 213.14/148.58 |-Branch two: % 213.14/148.58 | (343) all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (343) yields: % 213.14/148.58 | (337) all_273_0_116 = 0 % 213.14/148.58 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 213.14/148.58 | (346) all_110_1_81 = all_0_3_3 % 213.14/148.58 | % 213.14/148.58 | From (346) and (210) follows: % 213.14/148.58 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 213.14/148.58 | % 213.14/148.58 +-Applying beta-rule and splitting (335), into two cases. % 213.14/148.58 |-Branch one: % 213.14/148.58 | (348) all_292_0_117 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (348) yields: % 213.14/148.58 | (349) all_292_0_117 = 0 % 213.14/148.58 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 213.14/148.58 | (351) all_135_1_87 = all_0_2_2 % 213.14/148.58 | % 213.14/148.58 | From (351) and (241) follows: % 213.14/148.58 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.14/148.58 | (212) all_85_0_72 = 0 % 213.14/148.58 | % 213.14/148.58 | Equations (212) can reduce 183 to: % 213.14/148.58 | (175) $false % 213.14/148.58 | % 213.14/148.58 |-The branch is then unsatisfiable % 213.14/148.58 |-Branch two: % 213.14/148.58 | (355) all_292_0_117 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (355) yields: % 213.14/148.58 | (349) all_292_0_117 = 0 % 213.14/148.58 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 213.14/148.58 | (358) all_135_1_87 = all_0_3_3 % 213.14/148.58 | % 213.14/148.58 | From (358) and (232) follows: % 213.14/148.58 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 213.14/148.58 | (233) all_110_0_80 = 0 % 213.14/148.58 | % 213.14/148.58 | Equations (233) can reduce 209 to: % 213.14/148.58 | (175) $false % 213.14/148.58 | % 213.14/148.58 |-The branch is then unsatisfiable % 213.14/148.58 |-Branch two: % 213.14/148.58 | (362) all_227_0_109 = 0 & mem(all_135_1_87, all_0_4_4) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (362) yields: % 213.14/148.58 | (332) all_227_0_109 = 0 % 213.14/148.58 | (364) mem(all_135_1_87, all_0_4_4) = 0 % 213.14/148.58 | % 213.14/148.58 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_135_1_87, all_0_4_4) = 0, yields: % 213.14/148.58 | (365) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_5_5) = 0)) % 213.14/148.58 | % 213.14/148.58 | Instantiating (365) with all_292_0_121 yields: % 213.14/148.58 | (366) (all_292_0_121 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (all_292_0_121 = 0 & mem(all_135_1_87, all_0_5_5) = 0) % 213.14/148.58 | % 213.14/148.58 +-Applying beta-rule and splitting (315), into two cases. % 213.14/148.58 |-Branch one: % 213.14/148.58 | (367) all_252_0_113 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 213.14/148.58 | % 213.14/148.58 | Applying alpha-rule on (367) yields: % 213.14/148.58 | (368) all_252_0_113 = 0 % 213.14/148.59 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 213.14/148.59 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 213.14/148.59 | % 213.14/148.59 | Instantiating (370) with all_300_0_122 yields: % 213.14/148.59 | (371) (all_300_0_122 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_122 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 213.14/148.59 | % 213.14/148.59 +-Applying beta-rule and splitting (325), into two cases. % 213.14/148.59 |-Branch one: % 213.14/148.59 | (336) all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (336) yields: % 213.14/148.59 | (337) all_273_0_116 = 0 % 213.14/148.59 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 213.14/148.59 | (339) all_110_1_81 = all_0_2_2 % 213.14/148.59 | % 213.14/148.59 | From (339) and (211) follows: % 213.14/148.59 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.14/148.59 | (212) all_85_0_72 = 0 % 213.14/148.59 | % 213.14/148.59 | Equations (212) can reduce 183 to: % 213.14/148.59 | (175) $false % 213.14/148.59 | % 213.14/148.59 |-The branch is then unsatisfiable % 213.14/148.59 |-Branch two: % 213.14/148.59 | (343) all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (343) yields: % 213.14/148.59 | (337) all_273_0_116 = 0 % 213.14/148.59 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 213.14/148.59 | (346) all_110_1_81 = all_0_3_3 % 213.14/148.59 | % 213.14/148.59 | From (346) and (210) follows: % 213.14/148.59 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 213.14/148.59 | % 213.14/148.59 +-Applying beta-rule and splitting (371), into two cases. % 213.14/148.59 |-Branch one: % 213.14/148.59 | (384) all_300_0_122 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (384) yields: % 213.14/148.59 | (385) all_300_0_122 = 0 % 213.14/148.59 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 213.14/148.59 | (387) all_181_1_101 = all_0_2_2 % 213.14/148.59 | % 213.14/148.59 | From (387) and (287) follows: % 213.14/148.59 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.14/148.59 | (212) all_85_0_72 = 0 % 213.14/148.59 | % 213.14/148.59 | Equations (212) can reduce 183 to: % 213.14/148.59 | (175) $false % 213.14/148.59 | % 213.14/148.59 |-The branch is then unsatisfiable % 213.14/148.59 |-Branch two: % 213.14/148.59 | (391) all_300_0_122 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (391) yields: % 213.14/148.59 | (385) all_300_0_122 = 0 % 213.14/148.59 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 213.14/148.59 | (394) all_181_1_101 = all_0_3_3 % 213.14/148.59 | % 213.14/148.59 | From (394) and (267) follows: % 213.14/148.59 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 213.14/148.59 | (233) all_110_0_80 = 0 % 213.14/148.59 | % 213.14/148.59 | Equations (233) can reduce 209 to: % 213.14/148.59 | (175) $false % 213.14/148.59 | % 213.14/148.59 |-The branch is then unsatisfiable % 213.14/148.59 |-Branch two: % 213.14/148.59 | (398) all_252_0_113 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (398) yields: % 213.14/148.59 | (368) all_252_0_113 = 0 % 213.14/148.59 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 213.14/148.59 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 213.14/148.59 | % 213.14/148.59 | Instantiating (401) with all_300_0_125 yields: % 213.14/148.59 | (402) (all_300_0_125 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_125 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 213.14/148.59 | % 213.14/148.59 +-Applying beta-rule and splitting (318), into two cases. % 213.14/148.59 |-Branch one: % 213.14/148.59 | (403) all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (403) yields: % 213.14/148.59 | (404) all_259_0_114 = 0 % 213.14/148.59 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 213.14/148.59 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 213.14/148.59 | % 213.14/148.59 | Instantiating (406) with all_308_0_126 yields: % 213.14/148.59 | (407) (all_308_0_126 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_126 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 213.14/148.59 | % 213.14/148.59 +-Applying beta-rule and splitting (325), into two cases. % 213.14/148.59 |-Branch one: % 213.14/148.59 | (336) all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (336) yields: % 213.14/148.59 | (337) all_273_0_116 = 0 % 213.14/148.59 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 213.14/148.59 | (339) all_110_1_81 = all_0_2_2 % 213.14/148.59 | % 213.14/148.59 | From (339) and (211) follows: % 213.14/148.59 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.14/148.59 | (212) all_85_0_72 = 0 % 213.14/148.59 | % 213.14/148.59 | Equations (212) can reduce 183 to: % 213.14/148.59 | (175) $false % 213.14/148.59 | % 213.14/148.59 |-The branch is then unsatisfiable % 213.14/148.59 |-Branch two: % 213.14/148.59 | (343) all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (343) yields: % 213.14/148.59 | (337) all_273_0_116 = 0 % 213.14/148.59 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 213.14/148.59 | (346) all_110_1_81 = all_0_3_3 % 213.14/148.59 | % 213.14/148.59 | From (346) and (210) follows: % 213.14/148.59 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 213.14/148.59 | % 213.14/148.59 +-Applying beta-rule and splitting (407), into two cases. % 213.14/148.59 |-Branch one: % 213.14/148.59 | (420) all_308_0_126 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (420) yields: % 213.14/148.59 | (421) all_308_0_126 = 0 % 213.14/148.59 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 213.14/148.59 | (423) all_165_2_96 = all_0_2_2 % 213.14/148.59 | % 213.14/148.59 | From (423) and (303) follows: % 213.14/148.59 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.14/148.59 | (212) all_85_0_72 = 0 % 213.14/148.59 | % 213.14/148.59 | Equations (212) can reduce 183 to: % 213.14/148.59 | (175) $false % 213.14/148.59 | % 213.14/148.59 |-The branch is then unsatisfiable % 213.14/148.59 |-Branch two: % 213.14/148.59 | (427) all_308_0_126 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (427) yields: % 213.14/148.59 | (421) all_308_0_126 = 0 % 213.14/148.59 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 213.14/148.59 | (430) all_165_2_96 = all_0_3_3 % 213.14/148.59 | % 213.14/148.59 | From (430) and (288) follows: % 213.14/148.59 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 213.14/148.59 | (233) all_110_0_80 = 0 % 213.14/148.59 | % 213.14/148.59 | Equations (233) can reduce 209 to: % 213.14/148.59 | (175) $false % 213.14/148.59 | % 213.14/148.59 |-The branch is then unsatisfiable % 213.14/148.59 |-Branch two: % 213.14/148.59 | (434) all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (434) yields: % 213.14/148.59 | (404) all_259_0_114 = 0 % 213.14/148.59 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 213.14/148.59 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 213.14/148.59 | % 213.14/148.59 | Instantiating (437) with all_308_0_129 yields: % 213.14/148.59 | (438) (all_308_0_129 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_129 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 213.14/148.59 | % 213.14/148.59 +-Applying beta-rule and splitting (320), into two cases. % 213.14/148.59 |-Branch one: % 213.14/148.59 | (439) all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (439) yields: % 213.14/148.59 | (440) all_265_0_115 = 0 % 213.14/148.59 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 213.14/148.59 | % 213.14/148.59 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 213.14/148.59 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 213.14/148.59 | % 213.14/148.59 | Instantiating (442) with all_316_0_130 yields: % 213.14/148.59 | (443) (all_316_0_130 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_130 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 213.14/148.59 | % 213.14/148.59 +-Applying beta-rule and splitting (325), into two cases. % 213.14/148.59 |-Branch one: % 213.14/148.59 | (336) all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 213.14/148.59 | % 213.14/148.59 | Applying alpha-rule on (336) yields: % 213.14/148.59 | (337) all_273_0_116 = 0 % 213.14/148.59 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 213.14/148.60 | (339) all_110_1_81 = all_0_2_2 % 213.14/148.60 | % 213.14/148.60 | From (339) and (211) follows: % 213.14/148.60 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.14/148.60 | (212) all_85_0_72 = 0 % 213.14/148.60 | % 213.14/148.60 | Equations (212) can reduce 183 to: % 213.14/148.60 | (175) $false % 213.14/148.60 | % 213.14/148.60 |-The branch is then unsatisfiable % 213.14/148.60 |-Branch two: % 213.14/148.60 | (343) all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (343) yields: % 213.14/148.60 | (337) all_273_0_116 = 0 % 213.14/148.60 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 213.14/148.60 | (346) all_110_1_81 = all_0_3_3 % 213.14/148.60 | % 213.14/148.60 | From (346) and (210) follows: % 213.14/148.60 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 213.14/148.60 | % 213.14/148.60 +-Applying beta-rule and splitting (443), into two cases. % 213.14/148.60 |-Branch one: % 213.14/148.60 | (456) all_316_0_130 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (456) yields: % 213.14/148.60 | (457) all_316_0_130 = 0 % 213.14/148.60 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 213.14/148.60 | (459) all_212_1_107 = all_0_2_2 % 213.14/148.60 | % 213.14/148.60 | From (459) and (312) follows: % 213.14/148.60 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.14/148.60 | (212) all_85_0_72 = 0 % 213.14/148.60 | % 213.14/148.60 | Equations (212) can reduce 183 to: % 213.14/148.60 | (175) $false % 213.14/148.60 | % 213.14/148.60 |-The branch is then unsatisfiable % 213.14/148.60 |-Branch two: % 213.14/148.60 | (463) all_316_0_130 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (463) yields: % 213.14/148.60 | (457) all_316_0_130 = 0 % 213.14/148.60 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 213.14/148.60 | (466) all_212_1_107 = all_0_3_3 % 213.14/148.60 | % 213.14/148.60 | From (466) and (301) follows: % 213.14/148.60 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 213.14/148.60 | (233) all_110_0_80 = 0 % 213.14/148.60 | % 213.14/148.60 | Equations (233) can reduce 209 to: % 213.14/148.60 | (175) $false % 213.14/148.60 | % 213.14/148.60 |-The branch is then unsatisfiable % 213.14/148.60 |-Branch two: % 213.14/148.60 | (470) all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (470) yields: % 213.14/148.60 | (440) all_265_0_115 = 0 % 213.14/148.60 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 213.14/148.60 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 213.14/148.60 | % 213.14/148.60 | Instantiating (473) with all_316_0_133 yields: % 213.14/148.60 | (474) (all_316_0_133 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_133 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 213.14/148.60 | % 213.14/148.60 +-Applying beta-rule and splitting (366), into two cases. % 213.14/148.60 |-Branch one: % 213.14/148.60 | (475) all_292_0_121 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (475) yields: % 213.14/148.60 | (476) all_292_0_121 = 0 % 213.14/148.60 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 213.14/148.60 | (478) all_135_1_87 = all_0_5_5 % 213.14/148.60 | % 213.14/148.60 | From (478) and (231) follows: % 213.14/148.60 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 213.14/148.60 | % 213.14/148.60 +-Applying beta-rule and splitting (402), into two cases. % 213.14/148.60 |-Branch one: % 213.14/148.60 | (480) all_300_0_125 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (480) yields: % 213.14/148.60 | (481) all_300_0_125 = 0 % 213.14/148.60 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 213.14/148.60 | (483) all_181_1_101 = all_0_5_5 % 213.14/148.60 | % 213.14/148.60 | From (483) and (260) follows: % 213.14/148.60 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 213.14/148.60 | (261) all_135_0_86 = 0 % 213.14/148.60 | % 213.14/148.60 | Equations (261) can reduce 230 to: % 213.14/148.60 | (175) $false % 213.14/148.60 | % 213.14/148.60 |-The branch is then unsatisfiable % 213.14/148.60 |-Branch two: % 213.14/148.60 | (487) all_300_0_125 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (487) yields: % 213.14/148.60 | (481) all_300_0_125 = 0 % 213.14/148.60 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 213.14/148.60 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 213.14/148.60 | % 213.14/148.60 | Instantiating (490) with all_346_0_134 yields: % 213.14/148.60 | (491) (all_346_0_134 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_346_0_134 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 213.14/148.60 | % 213.14/148.60 +-Applying beta-rule and splitting (438), into two cases. % 213.14/148.60 |-Branch one: % 213.14/148.60 | (492) all_308_0_129 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (492) yields: % 213.14/148.60 | (493) all_308_0_129 = 0 % 213.14/148.60 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.14/148.60 | (495) all_165_2_96 = all_0_5_5 % 213.14/148.60 | % 213.14/148.60 | From (495) and (268) follows: % 213.14/148.60 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 213.14/148.60 | (261) all_135_0_86 = 0 % 213.14/148.60 | % 213.14/148.60 | Equations (261) can reduce 230 to: % 213.14/148.60 | (175) $false % 213.14/148.60 | % 213.14/148.60 |-The branch is then unsatisfiable % 213.14/148.60 |-Branch two: % 213.14/148.60 | (499) all_308_0_129 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (499) yields: % 213.14/148.60 | (493) all_308_0_129 = 0 % 213.14/148.60 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.14/148.60 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.14/148.60 | % 213.14/148.60 | Instantiating (502) with all_354_0_135 yields: % 213.14/148.60 | (503) (all_354_0_135 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_135 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.14/148.60 | % 213.14/148.60 +-Applying beta-rule and splitting (474), into two cases. % 213.14/148.60 |-Branch one: % 213.14/148.60 | (504) all_316_0_133 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (504) yields: % 213.14/148.60 | (505) all_316_0_133 = 0 % 213.14/148.60 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.14/148.60 | (507) all_212_1_107 = all_0_5_5 % 213.14/148.60 | % 213.14/148.60 | From (507) and (286) follows: % 213.14/148.60 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 213.14/148.60 | (261) all_135_0_86 = 0 % 213.14/148.60 | % 213.14/148.60 | Equations (261) can reduce 230 to: % 213.14/148.60 | (175) $false % 213.14/148.60 | % 213.14/148.60 |-The branch is then unsatisfiable % 213.14/148.60 |-Branch two: % 213.14/148.60 | (511) all_316_0_133 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (511) yields: % 213.14/148.60 | (505) all_316_0_133 = 0 % 213.14/148.60 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.14/148.60 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.14/148.60 | % 213.14/148.60 | Instantiating (514) with all_362_0_136 yields: % 213.14/148.60 | (515) (all_362_0_136 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_136 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.14/148.60 | % 213.14/148.60 +-Applying beta-rule and splitting (491), into two cases. % 213.14/148.60 |-Branch one: % 213.14/148.60 | (516) all_346_0_134 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.14/148.60 | % 213.14/148.60 | Applying alpha-rule on (516) yields: % 213.14/148.60 | (517) all_346_0_134 = 0 % 213.14/148.60 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.14/148.60 | % 213.14/148.60 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.14/148.60 | (519) all_181_1_101 = all_0_6_6 % 213.14/148.61 | % 213.14/148.61 | From (519) and (259) follows: % 213.14/148.61 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 213.14/148.61 | % 213.14/148.61 +-Applying beta-rule and splitting (515), into two cases. % 213.14/148.61 |-Branch one: % 213.14/148.61 | (521) all_362_0_136 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (521) yields: % 213.14/148.61 | (522) all_362_0_136 = 0 % 213.14/148.61 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.14/148.61 | (524) all_212_1_107 = all_0_6_6 % 213.14/148.61 | % 213.14/148.61 | From (524) and (281) follows: % 213.14/148.61 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 213.14/148.61 | (526) all_181_0_100 = 0 % 213.14/148.61 | % 213.14/148.61 | Equations (526) can reduce 258 to: % 213.14/148.61 | (175) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (528) all_362_0_136 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (528) yields: % 213.14/148.61 | (522) all_362_0_136 = 0 % 213.14/148.61 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.14/148.61 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.14/148.61 | % 213.14/148.61 | Instantiating (531) with all_389_0_138 yields: % 213.14/148.61 | (532) (all_389_0_138 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_138 = 0 & mem(all_212_1_107, e) = 0) % 213.14/148.61 | % 213.14/148.61 +-Applying beta-rule and splitting (532), into two cases. % 213.14/148.61 |-Branch one: % 213.14/148.61 | (533) all_389_0_138 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (533) yields: % 213.14/148.61 | (534) all_389_0_138 = 0 % 213.14/148.61 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.14/148.61 | (536) all_212_1_107 = e % 213.14/148.61 | % 213.14/148.61 | From (536) and (310) follows: % 213.14/148.61 | (537) mem(all_244_1_112, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.14/148.61 | (538) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (539) all_389_0_138 = 0 & mem(all_212_1_107, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (539) yields: % 213.14/148.61 | (534) all_389_0_138 = 0 % 213.14/148.61 | (541) mem(all_212_1_107, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.14/148.61 | (538) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (543) all_346_0_134 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (543) yields: % 213.14/148.61 | (517) all_346_0_134 = 0 % 213.14/148.61 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.14/148.61 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.14/148.61 | % 213.14/148.61 | Instantiating (546) with all_370_0_143 yields: % 213.14/148.61 | (547) (all_370_0_143 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_370_0_143 = 0 & mem(all_181_1_101, e) = 0) % 213.14/148.61 | % 213.14/148.61 +-Applying beta-rule and splitting (503), into two cases. % 213.14/148.61 |-Branch one: % 213.14/148.61 | (548) all_354_0_135 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (548) yields: % 213.14/148.61 | (549) all_354_0_135 = 0 % 213.14/148.61 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.14/148.61 | (551) all_165_2_96 = all_0_6_6 % 213.14/148.61 | % 213.14/148.61 | From (551) and (311) follows: % 213.14/148.61 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 213.14/148.61 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.14/148.61 | % 213.14/148.61 +-Applying beta-rule and splitting (515), into two cases. % 213.14/148.61 |-Branch one: % 213.14/148.61 | (521) all_362_0_136 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (521) yields: % 213.14/148.61 | (522) all_362_0_136 = 0 % 213.14/148.61 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.61 | % 213.14/148.61 +-Applying beta-rule and splitting (553), into two cases. % 213.14/148.61 |-Branch one: % 213.14/148.61 | (557) all_244_0_111 = 0 % 213.14/148.61 | % 213.14/148.61 | Equations (557) can reduce 309 to: % 213.14/148.61 | (175) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (309) ~ (all_244_0_111 = 0) % 213.14/148.61 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.14/148.61 | (524) all_212_1_107 = all_0_6_6 % 213.14/148.61 | % 213.14/148.61 | From (524) and (310) follows: % 213.14/148.61 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 213.14/148.61 | (557) all_244_0_111 = 0 % 213.14/148.61 | % 213.14/148.61 | Equations (557) can reduce 309 to: % 213.14/148.61 | (175) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (528) all_362_0_136 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (528) yields: % 213.14/148.61 | (522) all_362_0_136 = 0 % 213.14/148.61 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.14/148.61 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.14/148.61 | % 213.14/148.61 | Instantiating (531) with all_400_0_152 yields: % 213.14/148.61 | (569) (all_400_0_152 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_152 = 0 & mem(all_212_1_107, e) = 0) % 213.14/148.61 | % 213.14/148.61 +-Applying beta-rule and splitting (569), into two cases. % 213.14/148.61 |-Branch one: % 213.14/148.61 | (570) all_400_0_152 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (570) yields: % 213.14/148.61 | (571) all_400_0_152 = 0 % 213.14/148.61 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.14/148.61 | (536) all_212_1_107 = e % 213.14/148.61 | % 213.14/148.61 | From (536) and (310) follows: % 213.14/148.61 | (537) mem(all_244_1_112, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.14/148.61 | (538) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (576) all_400_0_152 = 0 & mem(all_212_1_107, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (576) yields: % 213.14/148.61 | (571) all_400_0_152 = 0 % 213.14/148.61 | (541) mem(all_212_1_107, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.14/148.61 | (538) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (580) all_354_0_135 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (580) yields: % 213.14/148.61 | (549) all_354_0_135 = 0 % 213.14/148.61 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.14/148.61 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.14/148.61 | % 213.14/148.61 | Instantiating (583) with all_378_0_155 yields: % 213.14/148.61 | (584) (all_378_0_155 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_155 = 0 & mem(all_165_2_96, e) = 0) % 213.14/148.61 | % 213.14/148.61 +-Applying beta-rule and splitting (547), into two cases. % 213.14/148.61 |-Branch one: % 213.14/148.61 | (585) all_370_0_143 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (585) yields: % 213.14/148.61 | (586) all_370_0_143 = 0 % 213.14/148.61 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.14/148.61 | (588) all_181_1_101 = e % 213.14/148.61 | % 213.14/148.61 | From (588) and (259) follows: % 213.14/148.61 | (589) mem(e, all_129_1_85) = all_181_0_100 % 213.14/148.61 | % 213.14/148.61 +-Applying beta-rule and splitting (584), into two cases. % 213.14/148.61 |-Branch one: % 213.14/148.61 | (590) all_378_0_155 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (590) yields: % 213.14/148.61 | (591) all_378_0_155 = 0 % 213.14/148.61 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.14/148.61 | (593) all_165_2_96 = e % 213.14/148.61 | % 213.14/148.61 | From (593) and (248) follows: % 213.14/148.61 | (594) mem(e, all_129_1_85) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 213.14/148.61 | (526) all_181_0_100 = 0 % 213.14/148.61 | % 213.14/148.61 | Equations (526) can reduce 258 to: % 213.14/148.61 | (175) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (597) all_378_0_155 = 0 & mem(all_165_2_96, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (597) yields: % 213.14/148.61 | (591) all_378_0_155 = 0 % 213.14/148.61 | (599) mem(all_165_2_96, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.14/148.61 | (538) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (601) all_370_0_143 = 0 & mem(all_181_1_101, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (601) yields: % 213.14/148.61 | (586) all_370_0_143 = 0 % 213.14/148.61 | (603) mem(all_181_1_101, e) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.14/148.61 | (538) $false % 213.14/148.61 | % 213.14/148.61 |-The branch is then unsatisfiable % 213.14/148.61 |-Branch two: % 213.14/148.61 | (605) all_292_0_121 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 213.14/148.61 | % 213.14/148.61 | Applying alpha-rule on (605) yields: % 213.14/148.61 | (476) all_292_0_121 = 0 % 213.14/148.61 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 213.14/148.61 | % 213.14/148.61 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 213.14/148.61 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 213.14/148.61 | % 213.14/148.61 | Instantiating (608) with all_335_0_162 yields: % 213.14/148.61 | (609) (all_335_0_162 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_162 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (402), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (480) all_300_0_125 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (480) yields: % 213.14/148.62 | (481) all_300_0_125 = 0 % 213.14/148.62 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 213.14/148.62 | (483) all_181_1_101 = all_0_5_5 % 213.14/148.62 | % 213.14/148.62 | From (483) and (259) follows: % 213.14/148.62 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (438), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (492) all_308_0_129 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (492) yields: % 213.14/148.62 | (493) all_308_0_129 = 0 % 213.14/148.62 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.14/148.62 | (495) all_165_2_96 = all_0_5_5 % 213.14/148.62 | % 213.14/148.62 | From (495) and (248) follows: % 213.14/148.62 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 213.14/148.62 | (526) all_181_0_100 = 0 % 213.14/148.62 | % 213.14/148.62 | Equations (526) can reduce 258 to: % 213.14/148.62 | (175) $false % 213.14/148.62 | % 213.14/148.62 |-The branch is then unsatisfiable % 213.14/148.62 |-Branch two: % 213.14/148.62 | (499) all_308_0_129 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (499) yields: % 213.14/148.62 | (493) all_308_0_129 = 0 % 213.14/148.62 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.14/148.62 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.14/148.62 | % 213.14/148.62 | Instantiating (502) with all_354_0_163 yields: % 213.14/148.62 | (626) (all_354_0_163 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_163 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (474), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (504) all_316_0_133 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (504) yields: % 213.14/148.62 | (505) all_316_0_133 = 0 % 213.14/148.62 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.14/148.62 | (507) all_212_1_107 = all_0_5_5 % 213.14/148.62 | % 213.14/148.62 | From (507) and (281) follows: % 213.14/148.62 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 213.14/148.62 | (526) all_181_0_100 = 0 % 213.14/148.62 | % 213.14/148.62 | Equations (526) can reduce 258 to: % 213.14/148.62 | (175) $false % 213.14/148.62 | % 213.14/148.62 |-The branch is then unsatisfiable % 213.14/148.62 |-Branch two: % 213.14/148.62 | (511) all_316_0_133 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (511) yields: % 213.14/148.62 | (505) all_316_0_133 = 0 % 213.14/148.62 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.14/148.62 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.14/148.62 | % 213.14/148.62 | Instantiating (514) with all_362_0_164 yields: % 213.14/148.62 | (638) (all_362_0_164 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_164 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (609), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (639) all_335_0_162 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (639) yields: % 213.14/148.62 | (640) all_335_0_162 = 0 % 213.14/148.62 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 213.14/148.62 | (642) all_135_1_87 = all_0_6_6 % 213.14/148.62 | % 213.14/148.62 | From (642) and (231) follows: % 213.14/148.62 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (638), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (644) all_362_0_164 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (644) yields: % 213.14/148.62 | (645) all_362_0_164 = 0 % 213.14/148.62 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.14/148.62 | (524) all_212_1_107 = all_0_6_6 % 213.14/148.62 | % 213.14/148.62 | From (524) and (286) follows: % 213.14/148.62 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 213.14/148.62 | (261) all_135_0_86 = 0 % 213.14/148.62 | % 213.14/148.62 | Equations (261) can reduce 230 to: % 213.14/148.62 | (175) $false % 213.14/148.62 | % 213.14/148.62 |-The branch is then unsatisfiable % 213.14/148.62 |-Branch two: % 213.14/148.62 | (651) all_362_0_164 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (651) yields: % 213.14/148.62 | (645) all_362_0_164 = 0 % 213.14/148.62 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.14/148.62 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.14/148.62 | % 213.14/148.62 | Instantiating (531) with all_389_0_166 yields: % 213.14/148.62 | (655) (all_389_0_166 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_166 = 0 & mem(all_212_1_107, e) = 0) % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (655), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (656) all_389_0_166 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (656) yields: % 213.14/148.62 | (657) all_389_0_166 = 0 % 213.14/148.62 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.14/148.62 | (536) all_212_1_107 = e % 213.14/148.62 | % 213.14/148.62 | From (536) and (310) follows: % 213.14/148.62 | (537) mem(all_244_1_112, e) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.14/148.62 | (538) $false % 213.14/148.62 | % 213.14/148.62 |-The branch is then unsatisfiable % 213.14/148.62 |-Branch two: % 213.14/148.62 | (662) all_389_0_166 = 0 & mem(all_212_1_107, e) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (662) yields: % 213.14/148.62 | (657) all_389_0_166 = 0 % 213.14/148.62 | (541) mem(all_212_1_107, e) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.14/148.62 | (538) $false % 213.14/148.62 | % 213.14/148.62 |-The branch is then unsatisfiable % 213.14/148.62 |-Branch two: % 213.14/148.62 | (666) all_335_0_162 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (666) yields: % 213.14/148.62 | (640) all_335_0_162 = 0 % 213.14/148.62 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 213.14/148.62 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 213.14/148.62 | % 213.14/148.62 | Instantiating (669) with all_370_0_171 yields: % 213.14/148.62 | (670) (all_370_0_171 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_370_0_171 = 0 & mem(all_135_1_87, e) = 0) % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (626), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (671) all_354_0_163 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (671) yields: % 213.14/148.62 | (672) all_354_0_163 = 0 % 213.14/148.62 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.14/148.62 | (551) all_165_2_96 = all_0_6_6 % 213.14/148.62 | % 213.14/148.62 | From (551) and (311) follows: % 213.14/148.62 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 213.14/148.62 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (638), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (644) all_362_0_164 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (644) yields: % 213.14/148.62 | (645) all_362_0_164 = 0 % 213.14/148.62 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (553), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (557) all_244_0_111 = 0 % 213.14/148.62 | % 213.14/148.62 | Equations (557) can reduce 309 to: % 213.14/148.62 | (175) $false % 213.14/148.62 | % 213.14/148.62 |-The branch is then unsatisfiable % 213.14/148.62 |-Branch two: % 213.14/148.62 | (309) ~ (all_244_0_111 = 0) % 213.14/148.62 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.14/148.62 | (524) all_212_1_107 = all_0_6_6 % 213.14/148.62 | % 213.14/148.62 | From (524) and (310) follows: % 213.14/148.62 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 213.14/148.62 | (557) all_244_0_111 = 0 % 213.14/148.62 | % 213.14/148.62 | Equations (557) can reduce 309 to: % 213.14/148.62 | (175) $false % 213.14/148.62 | % 213.14/148.62 |-The branch is then unsatisfiable % 213.14/148.62 |-Branch two: % 213.14/148.62 | (651) all_362_0_164 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (651) yields: % 213.14/148.62 | (645) all_362_0_164 = 0 % 213.14/148.62 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.14/148.62 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.14/148.62 | % 213.14/148.62 | Instantiating (531) with all_400_0_180 yields: % 213.14/148.62 | (692) (all_400_0_180 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_180 = 0 & mem(all_212_1_107, e) = 0) % 213.14/148.62 | % 213.14/148.62 +-Applying beta-rule and splitting (692), into two cases. % 213.14/148.62 |-Branch one: % 213.14/148.62 | (693) all_400_0_180 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.62 | % 213.14/148.62 | Applying alpha-rule on (693) yields: % 213.14/148.62 | (694) all_400_0_180 = 0 % 213.14/148.62 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.14/148.62 | (536) all_212_1_107 = e % 213.14/148.62 | % 213.14/148.62 | From (536) and (310) follows: % 213.14/148.62 | (537) mem(all_244_1_112, e) = 0 % 213.14/148.62 | % 213.14/148.62 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.14/148.63 | (538) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (699) all_400_0_180 = 0 & mem(all_212_1_107, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (699) yields: % 213.14/148.63 | (694) all_400_0_180 = 0 % 213.14/148.63 | (541) mem(all_212_1_107, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.14/148.63 | (538) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (703) all_354_0_163 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (703) yields: % 213.14/148.63 | (672) all_354_0_163 = 0 % 213.14/148.63 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.14/148.63 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.14/148.63 | % 213.14/148.63 | Instantiating (583) with all_378_0_183 yields: % 213.14/148.63 | (707) (all_378_0_183 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_183 = 0 & mem(all_165_2_96, e) = 0) % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (670), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (708) all_370_0_171 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (708) yields: % 213.14/148.63 | (709) all_370_0_171 = 0 % 213.14/148.63 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 213.14/148.63 | (711) all_135_1_87 = e % 213.14/148.63 | % 213.14/148.63 | From (711) and (231) follows: % 213.14/148.63 | (712) mem(e, all_99_1_77) = all_135_0_86 % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (707), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (713) all_378_0_183 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (713) yields: % 213.14/148.63 | (714) all_378_0_183 = 0 % 213.14/148.63 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.14/148.63 | (593) all_165_2_96 = e % 213.14/148.63 | % 213.14/148.63 | From (593) and (268) follows: % 213.14/148.63 | (717) mem(e, all_99_1_77) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 213.14/148.63 | (261) all_135_0_86 = 0 % 213.14/148.63 | % 213.14/148.63 | Equations (261) can reduce 230 to: % 213.14/148.63 | (175) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (720) all_378_0_183 = 0 & mem(all_165_2_96, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (720) yields: % 213.14/148.63 | (714) all_378_0_183 = 0 % 213.14/148.63 | (599) mem(all_165_2_96, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.14/148.63 | (538) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (724) all_370_0_171 = 0 & mem(all_135_1_87, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (724) yields: % 213.14/148.63 | (709) all_370_0_171 = 0 % 213.14/148.63 | (726) mem(all_135_1_87, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 213.14/148.63 | (538) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (487) all_300_0_125 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (487) yields: % 213.14/148.63 | (481) all_300_0_125 = 0 % 213.14/148.63 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 213.14/148.63 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 213.14/148.63 | % 213.14/148.63 | Instantiating (490) with all_343_0_190 yields: % 213.14/148.63 | (732) (all_343_0_190 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_190 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (438), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (492) all_308_0_129 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (492) yields: % 213.14/148.63 | (493) all_308_0_129 = 0 % 213.14/148.63 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.14/148.63 | (495) all_165_2_96 = all_0_5_5 % 213.14/148.63 | % 213.14/148.63 | From (495) and (311) follows: % 213.14/148.63 | (737) mem(all_244_1_112, all_0_5_5) = all_244_0_111 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (8) with all_244_0_111, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_112 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_112, all_0_5_5) = all_244_0_111, yields: % 213.14/148.63 | (738) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (474), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (504) all_316_0_133 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (504) yields: % 213.14/148.63 | (505) all_316_0_133 = 0 % 213.14/148.63 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (738), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (557) all_244_0_111 = 0 % 213.14/148.63 | % 213.14/148.63 | Equations (557) can reduce 309 to: % 213.14/148.63 | (175) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (309) ~ (all_244_0_111 = 0) % 213.14/148.63 | (745) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.14/148.63 | (507) all_212_1_107 = all_0_5_5 % 213.14/148.63 | % 213.14/148.63 | From (507) and (310) follows: % 213.14/148.63 | (747) mem(all_244_1_112, all_0_5_5) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (65) with all_244_1_112, all_0_5_5, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_5_5) = all_244_0_111, mem(all_244_1_112, all_0_5_5) = 0, yields: % 213.14/148.63 | (557) all_244_0_111 = 0 % 213.14/148.63 | % 213.14/148.63 | Equations (557) can reduce 309 to: % 213.14/148.63 | (175) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (511) all_316_0_133 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (511) yields: % 213.14/148.63 | (505) all_316_0_133 = 0 % 213.14/148.63 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.14/148.63 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.14/148.63 | % 213.14/148.63 | Instantiating (514) with all_373_0_199 yields: % 213.14/148.63 | (754) (all_373_0_199 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_199 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (609), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (639) all_335_0_162 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (639) yields: % 213.14/148.63 | (640) all_335_0_162 = 0 % 213.14/148.63 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 213.14/148.63 | (642) all_135_1_87 = all_0_6_6 % 213.14/148.63 | % 213.14/148.63 | From (642) and (231) follows: % 213.14/148.63 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (754), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (760) all_373_0_199 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (760) yields: % 213.14/148.63 | (761) all_373_0_199 = 0 % 213.14/148.63 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.14/148.63 | (524) all_212_1_107 = all_0_6_6 % 213.14/148.63 | % 213.14/148.63 | From (524) and (286) follows: % 213.14/148.63 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 213.14/148.63 | (261) all_135_0_86 = 0 % 213.14/148.63 | % 213.14/148.63 | Equations (261) can reduce 230 to: % 213.14/148.63 | (175) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (767) all_373_0_199 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (767) yields: % 213.14/148.63 | (761) all_373_0_199 = 0 % 213.14/148.63 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.14/148.63 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.14/148.63 | % 213.14/148.63 | Instantiating (531) with all_417_0_209 yields: % 213.14/148.63 | (771) (all_417_0_209 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_209 = 0 & mem(all_212_1_107, e) = 0) % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (771), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (772) all_417_0_209 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (772) yields: % 213.14/148.63 | (773) all_417_0_209 = 0 % 213.14/148.63 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.14/148.63 | (536) all_212_1_107 = e % 213.14/148.63 | % 213.14/148.63 | From (536) and (310) follows: % 213.14/148.63 | (537) mem(all_244_1_112, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.14/148.63 | (538) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (778) all_417_0_209 = 0 & mem(all_212_1_107, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (778) yields: % 213.14/148.63 | (773) all_417_0_209 = 0 % 213.14/148.63 | (541) mem(all_212_1_107, e) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.14/148.63 | (538) $false % 213.14/148.63 | % 213.14/148.63 |-The branch is then unsatisfiable % 213.14/148.63 |-Branch two: % 213.14/148.63 | (666) all_335_0_162 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (666) yields: % 213.14/148.63 | (640) all_335_0_162 = 0 % 213.14/148.63 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 213.14/148.63 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 213.14/148.63 | % 213.14/148.63 | Instantiating (669) with all_392_0_214 yields: % 213.14/148.63 | (786) (all_392_0_214 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_392_0_214 = 0 & mem(all_135_1_87, e) = 0) % 213.14/148.63 | % 213.14/148.63 +-Applying beta-rule and splitting (732), into two cases. % 213.14/148.63 |-Branch one: % 213.14/148.63 | (787) all_343_0_190 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.14/148.63 | % 213.14/148.63 | Applying alpha-rule on (787) yields: % 213.14/148.63 | (788) all_343_0_190 = 0 % 213.14/148.63 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.14/148.63 | % 213.14/148.63 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.14/148.63 | (519) all_181_1_101 = all_0_6_6 % 213.14/148.63 | % 213.14/148.63 | From (519) and (259) follows: % 213.14/148.63 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 213.14/148.64 | % 213.14/148.64 +-Applying beta-rule and splitting (754), into two cases. % 213.14/148.64 |-Branch one: % 213.14/148.64 | (760) all_373_0_199 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (760) yields: % 213.14/148.64 | (761) all_373_0_199 = 0 % 213.14/148.64 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.14/148.64 | (524) all_212_1_107 = all_0_6_6 % 213.14/148.64 | % 213.14/148.64 | From (524) and (281) follows: % 213.14/148.64 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 213.14/148.64 | (526) all_181_0_100 = 0 % 213.14/148.64 | % 213.14/148.64 | Equations (526) can reduce 258 to: % 213.14/148.64 | (175) $false % 213.14/148.64 | % 213.14/148.64 |-The branch is then unsatisfiable % 213.14/148.64 |-Branch two: % 213.14/148.64 | (767) all_373_0_199 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (767) yields: % 213.14/148.64 | (761) all_373_0_199 = 0 % 213.14/148.64 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.14/148.64 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.14/148.64 | % 213.14/148.64 | Instantiating (531) with all_417_0_217 yields: % 213.14/148.64 | (803) (all_417_0_217 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_217 = 0 & mem(all_212_1_107, e) = 0) % 213.14/148.64 | % 213.14/148.64 +-Applying beta-rule and splitting (803), into two cases. % 213.14/148.64 |-Branch one: % 213.14/148.64 | (804) all_417_0_217 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (804) yields: % 213.14/148.64 | (805) all_417_0_217 = 0 % 213.14/148.64 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.14/148.64 | (536) all_212_1_107 = e % 213.14/148.64 | % 213.14/148.64 | From (536) and (310) follows: % 213.14/148.64 | (537) mem(all_244_1_112, e) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.14/148.64 | (538) $false % 213.14/148.64 | % 213.14/148.64 |-The branch is then unsatisfiable % 213.14/148.64 |-Branch two: % 213.14/148.64 | (810) all_417_0_217 = 0 & mem(all_212_1_107, e) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (810) yields: % 213.14/148.64 | (805) all_417_0_217 = 0 % 213.14/148.64 | (541) mem(all_212_1_107, e) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.14/148.64 | (538) $false % 213.14/148.64 | % 213.14/148.64 |-The branch is then unsatisfiable % 213.14/148.64 |-Branch two: % 213.14/148.64 | (814) all_343_0_190 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (814) yields: % 213.14/148.64 | (788) all_343_0_190 = 0 % 213.14/148.64 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.14/148.64 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.14/148.64 | % 213.14/148.64 | Instantiating (546) with all_406_0_220 yields: % 213.14/148.64 | (818) (all_406_0_220 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_406_0_220 = 0 & mem(all_181_1_101, e) = 0) % 213.14/148.64 | % 213.14/148.64 +-Applying beta-rule and splitting (786), into two cases. % 213.14/148.64 |-Branch one: % 213.14/148.64 | (819) all_392_0_214 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (819) yields: % 213.14/148.64 | (820) all_392_0_214 = 0 % 213.14/148.64 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 213.14/148.64 | (711) all_135_1_87 = e % 213.14/148.64 | % 213.14/148.64 | From (711) and (231) follows: % 213.14/148.64 | (712) mem(e, all_99_1_77) = all_135_0_86 % 213.14/148.64 | % 213.14/148.64 +-Applying beta-rule and splitting (818), into two cases. % 213.14/148.64 |-Branch one: % 213.14/148.64 | (824) all_406_0_220 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (824) yields: % 213.14/148.64 | (825) all_406_0_220 = 0 % 213.14/148.64 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.14/148.64 | (588) all_181_1_101 = e % 213.14/148.64 | % 213.14/148.64 | From (588) and (260) follows: % 213.14/148.64 | (717) mem(e, all_99_1_77) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 213.14/148.64 | (261) all_135_0_86 = 0 % 213.14/148.64 | % 213.14/148.64 | Equations (261) can reduce 230 to: % 213.14/148.64 | (175) $false % 213.14/148.64 | % 213.14/148.64 |-The branch is then unsatisfiable % 213.14/148.64 |-Branch two: % 213.14/148.64 | (831) all_406_0_220 = 0 & mem(all_181_1_101, e) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (831) yields: % 213.14/148.64 | (825) all_406_0_220 = 0 % 213.14/148.64 | (603) mem(all_181_1_101, e) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.14/148.64 | (538) $false % 213.14/148.64 | % 213.14/148.64 |-The branch is then unsatisfiable % 213.14/148.64 |-Branch two: % 213.14/148.64 | (835) all_392_0_214 = 0 & mem(all_135_1_87, e) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (835) yields: % 213.14/148.64 | (820) all_392_0_214 = 0 % 213.14/148.64 | (726) mem(all_135_1_87, e) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 213.14/148.64 | (538) $false % 213.14/148.64 | % 213.14/148.64 |-The branch is then unsatisfiable % 213.14/148.64 |-Branch two: % 213.14/148.64 | (499) all_308_0_129 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (499) yields: % 213.14/148.64 | (493) all_308_0_129 = 0 % 213.14/148.64 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.14/148.64 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.14/148.64 | % 213.14/148.64 | Instantiating (502) with all_351_0_222 yields: % 213.14/148.64 | (843) (all_351_0_222 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_222 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.14/148.64 | % 213.14/148.64 +-Applying beta-rule and splitting (609), into two cases. % 213.14/148.64 |-Branch one: % 213.14/148.64 | (639) all_335_0_162 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (639) yields: % 213.14/148.64 | (640) all_335_0_162 = 0 % 213.14/148.64 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 213.14/148.64 | (642) all_135_1_87 = all_0_6_6 % 213.14/148.64 | % 213.14/148.64 | From (642) and (231) follows: % 213.14/148.64 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 213.14/148.64 | % 213.14/148.64 +-Applying beta-rule and splitting (732), into two cases. % 213.14/148.64 |-Branch one: % 213.14/148.64 | (787) all_343_0_190 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (787) yields: % 213.14/148.64 | (788) all_343_0_190 = 0 % 213.14/148.64 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.14/148.64 | (519) all_181_1_101 = all_0_6_6 % 213.14/148.64 | % 213.14/148.64 | From (519) and (260) follows: % 213.14/148.64 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 213.14/148.64 | (261) all_135_0_86 = 0 % 213.14/148.64 | % 213.14/148.64 | Equations (261) can reduce 230 to: % 213.14/148.64 | (175) $false % 213.14/148.64 | % 213.14/148.64 |-The branch is then unsatisfiable % 213.14/148.64 |-Branch two: % 213.14/148.64 | (814) all_343_0_190 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (814) yields: % 213.14/148.64 | (788) all_343_0_190 = 0 % 213.14/148.64 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.14/148.64 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.14/148.64 | % 213.14/148.64 | Instantiating (546) with all_389_0_227 yields: % 213.14/148.64 | (860) (all_389_0_227 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_389_0_227 = 0 & mem(all_181_1_101, e) = 0) % 213.14/148.64 | % 213.14/148.64 +-Applying beta-rule and splitting (843), into two cases. % 213.14/148.64 |-Branch one: % 213.14/148.64 | (861) all_351_0_222 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (861) yields: % 213.14/148.64 | (862) all_351_0_222 = 0 % 213.14/148.64 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.14/148.64 | (551) all_165_2_96 = all_0_6_6 % 213.14/148.64 | % 213.14/148.64 | From (551) and (268) follows: % 213.14/148.64 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 213.14/148.64 | (261) all_135_0_86 = 0 % 213.14/148.64 | % 213.14/148.64 | Equations (261) can reduce 230 to: % 213.14/148.64 | (175) $false % 213.14/148.64 | % 213.14/148.64 |-The branch is then unsatisfiable % 213.14/148.64 |-Branch two: % 213.14/148.64 | (868) all_351_0_222 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (868) yields: % 213.14/148.64 | (862) all_351_0_222 = 0 % 213.14/148.64 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.14/148.64 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.14/148.64 | % 213.14/148.64 | Instantiating (583) with all_397_0_228 yields: % 213.14/148.64 | (872) (all_397_0_228 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_228 = 0 & mem(all_165_2_96, e) = 0) % 213.14/148.64 | % 213.14/148.64 +-Applying beta-rule and splitting (860), into two cases. % 213.14/148.64 |-Branch one: % 213.14/148.64 | (873) all_389_0_227 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.14/148.64 | % 213.14/148.64 | Applying alpha-rule on (873) yields: % 213.14/148.64 | (874) all_389_0_227 = 0 % 213.14/148.64 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.14/148.64 | % 213.14/148.64 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.14/148.64 | (588) all_181_1_101 = e % 213.14/148.64 | % 213.14/148.64 | From (588) and (259) follows: % 213.14/148.64 | (589) mem(e, all_129_1_85) = all_181_0_100 % 213.65/148.64 | % 213.65/148.64 +-Applying beta-rule and splitting (872), into two cases. % 213.65/148.64 |-Branch one: % 213.65/148.64 | (878) all_397_0_228 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.64 | % 213.65/148.64 | Applying alpha-rule on (878) yields: % 213.65/148.64 | (879) all_397_0_228 = 0 % 213.65/148.64 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.64 | % 213.65/148.64 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.65/148.64 | (593) all_165_2_96 = e % 213.65/148.64 | % 213.65/148.64 | From (593) and (248) follows: % 213.65/148.64 | (594) mem(e, all_129_1_85) = 0 % 213.65/148.64 | % 213.65/148.64 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 213.65/148.64 | (526) all_181_0_100 = 0 % 213.65/148.64 | % 213.65/148.64 | Equations (526) can reduce 258 to: % 213.65/148.64 | (175) $false % 213.65/148.64 | % 213.65/148.64 |-The branch is then unsatisfiable % 213.65/148.64 |-Branch two: % 213.65/148.64 | (885) all_397_0_228 = 0 & mem(all_165_2_96, e) = 0 % 213.65/148.64 | % 213.65/148.64 | Applying alpha-rule on (885) yields: % 213.65/148.64 | (879) all_397_0_228 = 0 % 213.65/148.64 | (599) mem(all_165_2_96, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.65/148.65 | (538) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (889) all_389_0_227 = 0 & mem(all_181_1_101, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (889) yields: % 213.65/148.65 | (874) all_389_0_227 = 0 % 213.65/148.65 | (603) mem(all_181_1_101, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.65/148.65 | (538) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (666) all_335_0_162 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (666) yields: % 213.65/148.65 | (640) all_335_0_162 = 0 % 213.65/148.65 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 213.65/148.65 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 213.65/148.65 | % 213.65/148.65 | Instantiating (669) with all_377_0_231 yields: % 213.65/148.65 | (897) (all_377_0_231 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_377_0_231 = 0 & mem(all_135_1_87, e) = 0) % 213.65/148.65 | % 213.65/148.65 +-Applying beta-rule and splitting (732), into two cases. % 213.65/148.65 |-Branch one: % 213.65/148.65 | (787) all_343_0_190 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (787) yields: % 213.65/148.65 | (788) all_343_0_190 = 0 % 213.65/148.65 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.65/148.65 | (519) all_181_1_101 = all_0_6_6 % 213.65/148.65 | % 213.65/148.65 | From (519) and (259) follows: % 213.65/148.65 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 213.65/148.65 | % 213.65/148.65 +-Applying beta-rule and splitting (843), into two cases. % 213.65/148.65 |-Branch one: % 213.65/148.65 | (861) all_351_0_222 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (861) yields: % 213.65/148.65 | (862) all_351_0_222 = 0 % 213.65/148.65 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.65/148.65 | (551) all_165_2_96 = all_0_6_6 % 213.65/148.65 | % 213.65/148.65 | From (551) and (248) follows: % 213.65/148.65 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 213.65/148.65 | (526) all_181_0_100 = 0 % 213.65/148.65 | % 213.65/148.65 | Equations (526) can reduce 258 to: % 213.65/148.65 | (175) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (868) all_351_0_222 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (868) yields: % 213.65/148.65 | (862) all_351_0_222 = 0 % 213.65/148.65 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.65/148.65 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.65/148.65 | % 213.65/148.65 | Instantiating (583) with all_397_0_233 yields: % 213.65/148.65 | (914) (all_397_0_233 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_233 = 0 & mem(all_165_2_96, e) = 0) % 213.65/148.65 | % 213.65/148.65 +-Applying beta-rule and splitting (897), into two cases. % 213.65/148.65 |-Branch one: % 213.65/148.65 | (915) all_377_0_231 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (915) yields: % 213.65/148.65 | (916) all_377_0_231 = 0 % 213.65/148.65 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 213.65/148.65 | (711) all_135_1_87 = e % 213.65/148.65 | % 213.65/148.65 | From (711) and (231) follows: % 213.65/148.65 | (712) mem(e, all_99_1_77) = all_135_0_86 % 213.65/148.65 | % 213.65/148.65 +-Applying beta-rule and splitting (914), into two cases. % 213.65/148.65 |-Branch one: % 213.65/148.65 | (920) all_397_0_233 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (920) yields: % 213.65/148.65 | (921) all_397_0_233 = 0 % 213.65/148.65 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.65/148.65 | (593) all_165_2_96 = e % 213.65/148.65 | % 213.65/148.65 | From (593) and (268) follows: % 213.65/148.65 | (717) mem(e, all_99_1_77) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 213.65/148.65 | (261) all_135_0_86 = 0 % 213.65/148.65 | % 213.65/148.65 | Equations (261) can reduce 230 to: % 213.65/148.65 | (175) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (927) all_397_0_233 = 0 & mem(all_165_2_96, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (927) yields: % 213.65/148.65 | (921) all_397_0_233 = 0 % 213.65/148.65 | (599) mem(all_165_2_96, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.65/148.65 | (538) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (931) all_377_0_231 = 0 & mem(all_135_1_87, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (931) yields: % 213.65/148.65 | (916) all_377_0_231 = 0 % 213.65/148.65 | (726) mem(all_135_1_87, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 213.65/148.65 | (538) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (814) all_343_0_190 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (814) yields: % 213.65/148.65 | (788) all_343_0_190 = 0 % 213.65/148.65 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.65/148.65 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.65/148.65 | % 213.65/148.65 | Instantiating (546) with all_386_0_234 yields: % 213.65/148.65 | (939) (all_386_0_234 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_386_0_234 = 0 & mem(all_181_1_101, e) = 0) % 213.65/148.65 | % 213.65/148.65 +-Applying beta-rule and splitting (897), into two cases. % 213.65/148.65 |-Branch one: % 213.65/148.65 | (915) all_377_0_231 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (915) yields: % 213.65/148.65 | (916) all_377_0_231 = 0 % 213.65/148.65 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 213.65/148.65 | (711) all_135_1_87 = e % 213.65/148.65 | % 213.65/148.65 | From (711) and (231) follows: % 213.65/148.65 | (712) mem(e, all_99_1_77) = all_135_0_86 % 213.65/148.65 | % 213.65/148.65 +-Applying beta-rule and splitting (939), into two cases. % 213.65/148.65 |-Branch one: % 213.65/148.65 | (945) all_386_0_234 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (945) yields: % 213.65/148.65 | (946) all_386_0_234 = 0 % 213.65/148.65 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.65/148.65 | (588) all_181_1_101 = e % 213.65/148.65 | % 213.65/148.65 | From (588) and (260) follows: % 213.65/148.65 | (717) mem(e, all_99_1_77) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 213.65/148.65 | (261) all_135_0_86 = 0 % 213.65/148.65 | % 213.65/148.65 | Equations (261) can reduce 230 to: % 213.65/148.65 | (175) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (952) all_386_0_234 = 0 & mem(all_181_1_101, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (952) yields: % 213.65/148.65 | (946) all_386_0_234 = 0 % 213.65/148.65 | (603) mem(all_181_1_101, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.65/148.65 | (538) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (931) all_377_0_231 = 0 & mem(all_135_1_87, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (931) yields: % 213.65/148.65 | (916) all_377_0_231 = 0 % 213.65/148.65 | (726) mem(all_135_1_87, e) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 213.65/148.65 | (538) $false % 213.65/148.65 | % 213.65/148.65 |-The branch is then unsatisfiable % 213.65/148.65 |-Branch two: % 213.65/148.65 | (960) all_226_0_108 = 0 & mem(all_85_1_73, all_0_2_2) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (960) yields: % 213.65/148.65 | (327) all_226_0_108 = 0 % 213.65/148.65 | (962) mem(all_85_1_73, all_0_2_2) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_85_1_73 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_85_1_73, all_0_2_2) = 0, yields: % 213.65/148.65 | (963) all_85_1_73 = all_0_3_3 % 213.65/148.65 | % 213.65/148.65 | From (963) and (184) follows: % 213.65/148.65 | (964) mem(all_0_3_3, all_57_1_62) = all_85_0_72 % 213.65/148.65 | % 213.65/148.65 +-Applying beta-rule and splitting (292), into two cases. % 213.65/148.65 |-Branch one: % 213.65/148.65 | (331) all_227_0_109 = 0 & mem(all_135_1_87, all_0_1_1) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (331) yields: % 213.65/148.65 | (332) all_227_0_109 = 0 % 213.65/148.65 | (333) mem(all_135_1_87, all_0_1_1) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_135_1_87, all_0_1_1) = 0, yields: % 213.65/148.65 | (334) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_2_2) = 0)) % 213.65/148.65 | % 213.65/148.65 | Instantiating (334) with all_292_0_248 yields: % 213.65/148.65 | (969) (all_292_0_248 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (all_292_0_248 = 0 & mem(all_135_1_87, all_0_2_2) = 0) % 213.65/148.65 | % 213.65/148.65 +-Applying beta-rule and splitting (325), into two cases. % 213.65/148.65 |-Branch one: % 213.65/148.65 | (336) all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 213.65/148.65 | % 213.65/148.65 | Applying alpha-rule on (336) yields: % 213.65/148.65 | (337) all_273_0_116 = 0 % 213.65/148.65 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 213.65/148.65 | % 213.65/148.65 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 213.65/148.65 | (339) all_110_1_81 = all_0_2_2 % 213.65/148.65 | % 213.65/148.65 | From (339) and (210) follows: % 213.65/148.65 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 213.65/148.66 | % 213.65/148.66 +-Applying beta-rule and splitting (969), into two cases. % 213.65/148.66 |-Branch one: % 213.65/148.66 | (975) all_292_0_248 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (975) yields: % 213.65/148.66 | (976) all_292_0_248 = 0 % 213.65/148.66 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 213.65/148.66 | (351) all_135_1_87 = all_0_2_2 % 213.65/148.66 | % 213.65/148.66 | From (351) and (232) follows: % 213.65/148.66 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 213.65/148.66 | (233) all_110_0_80 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (233) can reduce 209 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (982) all_292_0_248 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (982) yields: % 213.65/148.66 | (976) all_292_0_248 = 0 % 213.65/148.66 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 213.65/148.66 | (358) all_135_1_87 = all_0_3_3 % 213.65/148.66 | % 213.65/148.66 | From (358) and (241) follows: % 213.65/148.66 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 213.65/148.66 | (212) all_85_0_72 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (212) can reduce 183 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (343) all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (343) yields: % 213.65/148.66 | (337) all_273_0_116 = 0 % 213.65/148.66 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 213.65/148.66 | (346) all_110_1_81 = all_0_3_3 % 213.65/148.66 | % 213.65/148.66 | From (346) and (211) follows: % 213.65/148.66 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 213.65/148.66 | (212) all_85_0_72 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (212) can reduce 183 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (362) all_227_0_109 = 0 & mem(all_135_1_87, all_0_4_4) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (362) yields: % 213.65/148.66 | (332) all_227_0_109 = 0 % 213.65/148.66 | (364) mem(all_135_1_87, all_0_4_4) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_135_1_87, all_0_4_4) = 0, yields: % 213.65/148.66 | (365) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_5_5) = 0)) % 213.65/148.66 | % 213.65/148.66 | Instantiating (365) with all_292_0_252 yields: % 213.65/148.66 | (1000) (all_292_0_252 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (all_292_0_252 = 0 & mem(all_135_1_87, all_0_5_5) = 0) % 213.65/148.66 | % 213.65/148.66 +-Applying beta-rule and splitting (315), into two cases. % 213.65/148.66 |-Branch one: % 213.65/148.66 | (367) all_252_0_113 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (367) yields: % 213.65/148.66 | (368) all_252_0_113 = 0 % 213.65/148.66 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 213.65/148.66 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 213.65/148.66 | % 213.65/148.66 | Instantiating (370) with all_300_0_253 yields: % 213.65/148.66 | (1005) (all_300_0_253 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_253 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 213.65/148.66 | % 213.65/148.66 +-Applying beta-rule and splitting (325), into two cases. % 213.65/148.66 |-Branch one: % 213.65/148.66 | (336) all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (336) yields: % 213.65/148.66 | (337) all_273_0_116 = 0 % 213.65/148.66 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 213.65/148.66 | (339) all_110_1_81 = all_0_2_2 % 213.65/148.66 | % 213.65/148.66 | From (339) and (210) follows: % 213.65/148.66 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 213.65/148.66 | % 213.65/148.66 +-Applying beta-rule and splitting (1005), into two cases. % 213.65/148.66 |-Branch one: % 213.65/148.66 | (1011) all_300_0_253 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (1011) yields: % 213.65/148.66 | (1012) all_300_0_253 = 0 % 213.65/148.66 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 213.65/148.66 | (387) all_181_1_101 = all_0_2_2 % 213.65/148.66 | % 213.65/148.66 | From (387) and (267) follows: % 213.65/148.66 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 213.65/148.66 | (233) all_110_0_80 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (233) can reduce 209 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (1018) all_300_0_253 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (1018) yields: % 213.65/148.66 | (1012) all_300_0_253 = 0 % 213.65/148.66 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 213.65/148.66 | (394) all_181_1_101 = all_0_3_3 % 213.65/148.66 | % 213.65/148.66 | From (394) and (287) follows: % 213.65/148.66 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 213.65/148.66 | (212) all_85_0_72 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (212) can reduce 183 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (343) all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (343) yields: % 213.65/148.66 | (337) all_273_0_116 = 0 % 213.65/148.66 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 213.65/148.66 | (346) all_110_1_81 = all_0_3_3 % 213.65/148.66 | % 213.65/148.66 | From (346) and (211) follows: % 213.65/148.66 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 213.65/148.66 | (212) all_85_0_72 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (212) can reduce 183 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (398) all_252_0_113 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (398) yields: % 213.65/148.66 | (368) all_252_0_113 = 0 % 213.65/148.66 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 213.65/148.66 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 213.65/148.66 | % 213.65/148.66 | Instantiating (401) with all_300_0_256 yields: % 213.65/148.66 | (1036) (all_300_0_256 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_256 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 213.65/148.66 | % 213.65/148.66 +-Applying beta-rule and splitting (318), into two cases. % 213.65/148.66 |-Branch one: % 213.65/148.66 | (403) all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (403) yields: % 213.65/148.66 | (404) all_259_0_114 = 0 % 213.65/148.66 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 213.65/148.66 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 213.65/148.66 | % 213.65/148.66 | Instantiating (406) with all_308_0_257 yields: % 213.65/148.66 | (1041) (all_308_0_257 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_257 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 213.65/148.66 | % 213.65/148.66 +-Applying beta-rule and splitting (325), into two cases. % 213.65/148.66 |-Branch one: % 213.65/148.66 | (336) all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (336) yields: % 213.65/148.66 | (337) all_273_0_116 = 0 % 213.65/148.66 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 213.65/148.66 | (339) all_110_1_81 = all_0_2_2 % 213.65/148.66 | % 213.65/148.66 | From (339) and (210) follows: % 213.65/148.66 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 213.65/148.66 | % 213.65/148.66 +-Applying beta-rule and splitting (1041), into two cases. % 213.65/148.66 |-Branch one: % 213.65/148.66 | (1047) all_308_0_257 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (1047) yields: % 213.65/148.66 | (1048) all_308_0_257 = 0 % 213.65/148.66 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 213.65/148.66 | (423) all_165_2_96 = all_0_2_2 % 213.65/148.66 | % 213.65/148.66 | From (423) and (288) follows: % 213.65/148.66 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 213.65/148.66 | (233) all_110_0_80 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (233) can reduce 209 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (1054) all_308_0_257 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (1054) yields: % 213.65/148.66 | (1048) all_308_0_257 = 0 % 213.65/148.66 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 213.65/148.66 | (430) all_165_2_96 = all_0_3_3 % 213.65/148.66 | % 213.65/148.66 | From (430) and (303) follows: % 213.65/148.66 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 213.65/148.66 | (212) all_85_0_72 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (212) can reduce 183 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (343) all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (343) yields: % 213.65/148.66 | (337) all_273_0_116 = 0 % 213.65/148.66 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 213.65/148.66 | (346) all_110_1_81 = all_0_3_3 % 213.65/148.66 | % 213.65/148.66 | From (346) and (211) follows: % 213.65/148.66 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 213.65/148.66 | (212) all_85_0_72 = 0 % 213.65/148.66 | % 213.65/148.66 | Equations (212) can reduce 183 to: % 213.65/148.66 | (175) $false % 213.65/148.66 | % 213.65/148.66 |-The branch is then unsatisfiable % 213.65/148.66 |-Branch two: % 213.65/148.66 | (434) all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (434) yields: % 213.65/148.66 | (404) all_259_0_114 = 0 % 213.65/148.66 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 213.65/148.66 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 213.65/148.66 | % 213.65/148.66 | Instantiating (437) with all_308_0_260 yields: % 213.65/148.66 | (1072) (all_308_0_260 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_260 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 213.65/148.66 | % 213.65/148.66 +-Applying beta-rule and splitting (320), into two cases. % 213.65/148.66 |-Branch one: % 213.65/148.66 | (439) all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 213.65/148.66 | % 213.65/148.66 | Applying alpha-rule on (439) yields: % 213.65/148.66 | (440) all_265_0_115 = 0 % 213.65/148.66 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 213.65/148.66 | % 213.65/148.66 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 213.65/148.66 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 213.65/148.66 | % 213.65/148.66 | Instantiating (442) with all_316_0_261 yields: % 213.65/148.66 | (1077) (all_316_0_261 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_261 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 213.65/148.66 | % 213.65/148.67 +-Applying beta-rule and splitting (325), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (336) all_273_0_116 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (336) yields: % 213.65/148.67 | (337) all_273_0_116 = 0 % 213.65/148.67 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 213.65/148.67 | (339) all_110_1_81 = all_0_2_2 % 213.65/148.67 | % 213.65/148.67 | From (339) and (210) follows: % 213.65/148.67 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 213.65/148.67 | % 213.65/148.67 +-Applying beta-rule and splitting (1077), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (1083) all_316_0_261 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1083) yields: % 213.65/148.67 | (1084) all_316_0_261 = 0 % 213.65/148.67 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 213.65/148.67 | (459) all_212_1_107 = all_0_2_2 % 213.65/148.67 | % 213.65/148.67 | From (459) and (301) follows: % 213.65/148.67 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 213.65/148.67 | (233) all_110_0_80 = 0 % 213.65/148.67 | % 213.65/148.67 | Equations (233) can reduce 209 to: % 213.65/148.67 | (175) $false % 213.65/148.67 | % 213.65/148.67 |-The branch is then unsatisfiable % 213.65/148.67 |-Branch two: % 213.65/148.67 | (1090) all_316_0_261 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1090) yields: % 213.65/148.67 | (1084) all_316_0_261 = 0 % 213.65/148.67 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 213.65/148.67 | (466) all_212_1_107 = all_0_3_3 % 213.65/148.67 | % 213.65/148.67 | From (466) and (312) follows: % 213.65/148.67 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 213.65/148.67 | (212) all_85_0_72 = 0 % 213.65/148.67 | % 213.65/148.67 | Equations (212) can reduce 183 to: % 213.65/148.67 | (175) $false % 213.65/148.67 | % 213.65/148.67 |-The branch is then unsatisfiable % 213.65/148.67 |-Branch two: % 213.65/148.67 | (343) all_273_0_116 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (343) yields: % 213.65/148.67 | (337) all_273_0_116 = 0 % 213.65/148.67 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 213.65/148.67 | (346) all_110_1_81 = all_0_3_3 % 213.65/148.67 | % 213.65/148.67 | From (346) and (211) follows: % 213.65/148.67 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 213.65/148.67 | (212) all_85_0_72 = 0 % 213.65/148.67 | % 213.65/148.67 | Equations (212) can reduce 183 to: % 213.65/148.67 | (175) $false % 213.65/148.67 | % 213.65/148.67 |-The branch is then unsatisfiable % 213.65/148.67 |-Branch two: % 213.65/148.67 | (470) all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (470) yields: % 213.65/148.67 | (440) all_265_0_115 = 0 % 213.65/148.67 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 213.65/148.67 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 213.65/148.67 | % 213.65/148.67 | Instantiating (473) with all_316_0_264 yields: % 213.65/148.67 | (1108) (all_316_0_264 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_264 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 213.65/148.67 | % 213.65/148.67 +-Applying beta-rule and splitting (1000), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (1109) all_292_0_252 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1109) yields: % 213.65/148.67 | (1110) all_292_0_252 = 0 % 213.65/148.67 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 213.65/148.67 | (478) all_135_1_87 = all_0_5_5 % 213.65/148.67 | % 213.65/148.67 | From (478) and (231) follows: % 213.65/148.67 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 213.65/148.67 | % 213.65/148.67 +-Applying beta-rule and splitting (1036), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (1114) all_300_0_256 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1114) yields: % 213.65/148.67 | (1115) all_300_0_256 = 0 % 213.65/148.67 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 213.65/148.67 | (483) all_181_1_101 = all_0_5_5 % 213.65/148.67 | % 213.65/148.67 | From (483) and (260) follows: % 213.65/148.67 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 213.65/148.67 | (261) all_135_0_86 = 0 % 213.65/148.67 | % 213.65/148.67 | Equations (261) can reduce 230 to: % 213.65/148.67 | (175) $false % 213.65/148.67 | % 213.65/148.67 |-The branch is then unsatisfiable % 213.65/148.67 |-Branch two: % 213.65/148.67 | (1121) all_300_0_256 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1121) yields: % 213.65/148.67 | (1115) all_300_0_256 = 0 % 213.65/148.67 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 213.65/148.67 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 213.65/148.67 | % 213.65/148.67 | Instantiating (490) with all_346_0_265 yields: % 213.65/148.67 | (1125) (all_346_0_265 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_346_0_265 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 213.65/148.67 | % 213.65/148.67 +-Applying beta-rule and splitting (1072), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (1126) all_308_0_260 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1126) yields: % 213.65/148.67 | (1127) all_308_0_260 = 0 % 213.65/148.67 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.65/148.67 | (495) all_165_2_96 = all_0_5_5 % 213.65/148.67 | % 213.65/148.67 | From (495) and (268) follows: % 213.65/148.67 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 213.65/148.67 | (261) all_135_0_86 = 0 % 213.65/148.67 | % 213.65/148.67 | Equations (261) can reduce 230 to: % 213.65/148.67 | (175) $false % 213.65/148.67 | % 213.65/148.67 |-The branch is then unsatisfiable % 213.65/148.67 |-Branch two: % 213.65/148.67 | (1133) all_308_0_260 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1133) yields: % 213.65/148.67 | (1127) all_308_0_260 = 0 % 213.65/148.67 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.65/148.67 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.65/148.67 | % 213.65/148.67 | Instantiating (502) with all_354_0_266 yields: % 213.65/148.67 | (1137) (all_354_0_266 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_266 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.65/148.67 | % 213.65/148.67 +-Applying beta-rule and splitting (1108), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (1138) all_316_0_264 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1138) yields: % 213.65/148.67 | (1139) all_316_0_264 = 0 % 213.65/148.67 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.65/148.67 | (507) all_212_1_107 = all_0_5_5 % 213.65/148.67 | % 213.65/148.67 | From (507) and (286) follows: % 213.65/148.67 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 213.65/148.67 | (261) all_135_0_86 = 0 % 213.65/148.67 | % 213.65/148.67 | Equations (261) can reduce 230 to: % 213.65/148.67 | (175) $false % 213.65/148.67 | % 213.65/148.67 |-The branch is then unsatisfiable % 213.65/148.67 |-Branch two: % 213.65/148.67 | (1145) all_316_0_264 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1145) yields: % 213.65/148.67 | (1139) all_316_0_264 = 0 % 213.65/148.67 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.65/148.67 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.65/148.67 | % 213.65/148.67 | Instantiating (514) with all_362_0_267 yields: % 213.65/148.67 | (1149) (all_362_0_267 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_267 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.65/148.67 | % 213.65/148.67 +-Applying beta-rule and splitting (1125), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (1150) all_346_0_265 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1150) yields: % 213.65/148.67 | (1151) all_346_0_265 = 0 % 213.65/148.67 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.65/148.67 | (519) all_181_1_101 = all_0_6_6 % 213.65/148.67 | % 213.65/148.67 | From (519) and (259) follows: % 213.65/148.67 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 213.65/148.67 | % 213.65/148.67 +-Applying beta-rule and splitting (1149), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (1155) all_362_0_267 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1155) yields: % 213.65/148.67 | (1156) all_362_0_267 = 0 % 213.65/148.67 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.65/148.67 | (524) all_212_1_107 = all_0_6_6 % 213.65/148.67 | % 213.65/148.67 | From (524) and (281) follows: % 213.65/148.67 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 213.65/148.67 | (526) all_181_0_100 = 0 % 213.65/148.67 | % 213.65/148.67 | Equations (526) can reduce 258 to: % 213.65/148.67 | (175) $false % 213.65/148.67 | % 213.65/148.67 |-The branch is then unsatisfiable % 213.65/148.67 |-Branch two: % 213.65/148.67 | (1162) all_362_0_267 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1162) yields: % 213.65/148.67 | (1156) all_362_0_267 = 0 % 213.65/148.67 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.65/148.67 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.65/148.67 | % 213.65/148.67 | Instantiating (531) with all_389_0_269 yields: % 213.65/148.67 | (1166) (all_389_0_269 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_269 = 0 & mem(all_212_1_107, e) = 0) % 213.65/148.67 | % 213.65/148.67 +-Applying beta-rule and splitting (1166), into two cases. % 213.65/148.67 |-Branch one: % 213.65/148.67 | (1167) all_389_0_269 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1167) yields: % 213.65/148.67 | (1168) all_389_0_269 = 0 % 213.65/148.67 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.65/148.67 | (536) all_212_1_107 = e % 213.65/148.67 | % 213.65/148.67 | From (536) and (310) follows: % 213.65/148.67 | (537) mem(all_244_1_112, e) = 0 % 213.65/148.67 | % 213.65/148.67 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.65/148.67 | (538) $false % 213.65/148.67 | % 213.65/148.67 |-The branch is then unsatisfiable % 213.65/148.67 |-Branch two: % 213.65/148.67 | (1173) all_389_0_269 = 0 & mem(all_212_1_107, e) = 0 % 213.65/148.67 | % 213.65/148.67 | Applying alpha-rule on (1173) yields: % 213.65/148.67 | (1168) all_389_0_269 = 0 % 213.65/148.68 | (541) mem(all_212_1_107, e) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.65/148.68 | (538) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (1177) all_346_0_265 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1177) yields: % 213.65/148.68 | (1151) all_346_0_265 = 0 % 213.65/148.68 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.65/148.68 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.65/148.68 | % 213.65/148.68 | Instantiating (546) with all_370_0_274 yields: % 213.65/148.68 | (1181) (all_370_0_274 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_370_0_274 = 0 & mem(all_181_1_101, e) = 0) % 213.65/148.68 | % 213.65/148.68 +-Applying beta-rule and splitting (1137), into two cases. % 213.65/148.68 |-Branch one: % 213.65/148.68 | (1182) all_354_0_266 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1182) yields: % 213.65/148.68 | (1183) all_354_0_266 = 0 % 213.65/148.68 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.65/148.68 | (551) all_165_2_96 = all_0_6_6 % 213.65/148.68 | % 213.65/148.68 | From (551) and (311) follows: % 213.65/148.68 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 213.65/148.68 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.65/148.68 | % 213.65/148.68 +-Applying beta-rule and splitting (1149), into two cases. % 213.65/148.68 |-Branch one: % 213.65/148.68 | (1155) all_362_0_267 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1155) yields: % 213.65/148.68 | (1156) all_362_0_267 = 0 % 213.65/148.68 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.68 | % 213.65/148.68 +-Applying beta-rule and splitting (553), into two cases. % 213.65/148.68 |-Branch one: % 213.65/148.68 | (557) all_244_0_111 = 0 % 213.65/148.68 | % 213.65/148.68 | Equations (557) can reduce 309 to: % 213.65/148.68 | (175) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (309) ~ (all_244_0_111 = 0) % 213.65/148.68 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.65/148.68 | (524) all_212_1_107 = all_0_6_6 % 213.65/148.68 | % 213.65/148.68 | From (524) and (310) follows: % 213.65/148.68 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 213.65/148.68 | (557) all_244_0_111 = 0 % 213.65/148.68 | % 213.65/148.68 | Equations (557) can reduce 309 to: % 213.65/148.68 | (175) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (1162) all_362_0_267 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1162) yields: % 213.65/148.68 | (1156) all_362_0_267 = 0 % 213.65/148.68 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.65/148.68 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.65/148.68 | % 213.65/148.68 | Instantiating (531) with all_400_0_283 yields: % 213.65/148.68 | (1203) (all_400_0_283 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_283 = 0 & mem(all_212_1_107, e) = 0) % 213.65/148.68 | % 213.65/148.68 +-Applying beta-rule and splitting (1203), into two cases. % 213.65/148.68 |-Branch one: % 213.65/148.68 | (1204) all_400_0_283 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1204) yields: % 213.65/148.68 | (1205) all_400_0_283 = 0 % 213.65/148.68 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.65/148.68 | (536) all_212_1_107 = e % 213.65/148.68 | % 213.65/148.68 | From (536) and (310) follows: % 213.65/148.68 | (537) mem(all_244_1_112, e) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.65/148.68 | (538) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (1210) all_400_0_283 = 0 & mem(all_212_1_107, e) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1210) yields: % 213.65/148.68 | (1205) all_400_0_283 = 0 % 213.65/148.68 | (541) mem(all_212_1_107, e) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.65/148.68 | (538) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (1214) all_354_0_266 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1214) yields: % 213.65/148.68 | (1183) all_354_0_266 = 0 % 213.65/148.68 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.65/148.68 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.65/148.68 | % 213.65/148.68 | Instantiating (583) with all_378_0_286 yields: % 213.65/148.68 | (1218) (all_378_0_286 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_286 = 0 & mem(all_165_2_96, e) = 0) % 213.65/148.68 | % 213.65/148.68 +-Applying beta-rule and splitting (1181), into two cases. % 213.65/148.68 |-Branch one: % 213.65/148.68 | (1219) all_370_0_274 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1219) yields: % 213.65/148.68 | (1220) all_370_0_274 = 0 % 213.65/148.68 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.65/148.68 | (588) all_181_1_101 = e % 213.65/148.68 | % 213.65/148.68 | From (588) and (259) follows: % 213.65/148.68 | (589) mem(e, all_129_1_85) = all_181_0_100 % 213.65/148.68 | % 213.65/148.68 +-Applying beta-rule and splitting (1218), into two cases. % 213.65/148.68 |-Branch one: % 213.65/148.68 | (1224) all_378_0_286 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1224) yields: % 213.65/148.68 | (1225) all_378_0_286 = 0 % 213.65/148.68 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.65/148.68 | (593) all_165_2_96 = e % 213.65/148.68 | % 213.65/148.68 | From (593) and (248) follows: % 213.65/148.68 | (594) mem(e, all_129_1_85) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 213.65/148.68 | (526) all_181_0_100 = 0 % 213.65/148.68 | % 213.65/148.68 | Equations (526) can reduce 258 to: % 213.65/148.68 | (175) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (1231) all_378_0_286 = 0 & mem(all_165_2_96, e) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1231) yields: % 213.65/148.68 | (1225) all_378_0_286 = 0 % 213.65/148.68 | (599) mem(all_165_2_96, e) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.65/148.68 | (538) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (1235) all_370_0_274 = 0 & mem(all_181_1_101, e) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1235) yields: % 213.65/148.68 | (1220) all_370_0_274 = 0 % 213.65/148.68 | (603) mem(all_181_1_101, e) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.65/148.68 | (538) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (1239) all_292_0_252 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1239) yields: % 213.65/148.68 | (1110) all_292_0_252 = 0 % 213.65/148.68 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 213.65/148.68 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 213.65/148.68 | % 213.65/148.68 | Instantiating (608) with all_335_0_293 yields: % 213.65/148.68 | (1243) (all_335_0_293 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_293 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 213.65/148.68 | % 213.65/148.68 +-Applying beta-rule and splitting (1036), into two cases. % 213.65/148.68 |-Branch one: % 213.65/148.68 | (1114) all_300_0_256 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1114) yields: % 213.65/148.68 | (1115) all_300_0_256 = 0 % 213.65/148.68 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 213.65/148.68 | (483) all_181_1_101 = all_0_5_5 % 213.65/148.68 | % 213.65/148.68 | From (483) and (259) follows: % 213.65/148.68 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 213.65/148.68 | % 213.65/148.68 +-Applying beta-rule and splitting (1072), into two cases. % 213.65/148.68 |-Branch one: % 213.65/148.68 | (1126) all_308_0_260 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1126) yields: % 213.65/148.68 | (1127) all_308_0_260 = 0 % 213.65/148.68 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.65/148.68 | (495) all_165_2_96 = all_0_5_5 % 213.65/148.68 | % 213.65/148.68 | From (495) and (248) follows: % 213.65/148.68 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 213.65/148.68 | (526) all_181_0_100 = 0 % 213.65/148.68 | % 213.65/148.68 | Equations (526) can reduce 258 to: % 213.65/148.68 | (175) $false % 213.65/148.68 | % 213.65/148.68 |-The branch is then unsatisfiable % 213.65/148.68 |-Branch two: % 213.65/148.68 | (1133) all_308_0_260 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.65/148.68 | % 213.65/148.68 | Applying alpha-rule on (1133) yields: % 213.65/148.68 | (1127) all_308_0_260 = 0 % 213.65/148.68 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.65/148.68 | % 213.65/148.68 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.65/148.68 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.65/148.68 | % 213.65/148.68 | Instantiating (502) with all_354_0_294 yields: % 213.65/148.68 | (1260) (all_354_0_294 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_294 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1108), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1138) all_316_0_264 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1138) yields: % 213.65/148.69 | (1139) all_316_0_264 = 0 % 213.65/148.69 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.65/148.69 | (507) all_212_1_107 = all_0_5_5 % 213.65/148.69 | % 213.65/148.69 | From (507) and (281) follows: % 213.65/148.69 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 213.65/148.69 | (526) all_181_0_100 = 0 % 213.65/148.69 | % 213.65/148.69 | Equations (526) can reduce 258 to: % 213.65/148.69 | (175) $false % 213.65/148.69 | % 213.65/148.69 |-The branch is then unsatisfiable % 213.65/148.69 |-Branch two: % 213.65/148.69 | (1145) all_316_0_264 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1145) yields: % 213.65/148.69 | (1139) all_316_0_264 = 0 % 213.65/148.69 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.65/148.69 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.65/148.69 | % 213.65/148.69 | Instantiating (514) with all_362_0_295 yields: % 213.65/148.69 | (1272) (all_362_0_295 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_295 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1243), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1273) all_335_0_293 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1273) yields: % 213.65/148.69 | (1274) all_335_0_293 = 0 % 213.65/148.69 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 213.65/148.69 | (642) all_135_1_87 = all_0_6_6 % 213.65/148.69 | % 213.65/148.69 | From (642) and (231) follows: % 213.65/148.69 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1272), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1278) all_362_0_295 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1278) yields: % 213.65/148.69 | (1279) all_362_0_295 = 0 % 213.65/148.69 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.65/148.69 | (524) all_212_1_107 = all_0_6_6 % 213.65/148.69 | % 213.65/148.69 | From (524) and (286) follows: % 213.65/148.69 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 213.65/148.69 | (261) all_135_0_86 = 0 % 213.65/148.69 | % 213.65/148.69 | Equations (261) can reduce 230 to: % 213.65/148.69 | (175) $false % 213.65/148.69 | % 213.65/148.69 |-The branch is then unsatisfiable % 213.65/148.69 |-Branch two: % 213.65/148.69 | (1285) all_362_0_295 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1285) yields: % 213.65/148.69 | (1279) all_362_0_295 = 0 % 213.65/148.69 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.65/148.69 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.65/148.69 | % 213.65/148.69 | Instantiating (531) with all_389_0_297 yields: % 213.65/148.69 | (1289) (all_389_0_297 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_297 = 0 & mem(all_212_1_107, e) = 0) % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1289), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1290) all_389_0_297 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1290) yields: % 213.65/148.69 | (1291) all_389_0_297 = 0 % 213.65/148.69 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.65/148.69 | (536) all_212_1_107 = e % 213.65/148.69 | % 213.65/148.69 | From (536) and (310) follows: % 213.65/148.69 | (537) mem(all_244_1_112, e) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.65/148.69 | (538) $false % 213.65/148.69 | % 213.65/148.69 |-The branch is then unsatisfiable % 213.65/148.69 |-Branch two: % 213.65/148.69 | (1296) all_389_0_297 = 0 & mem(all_212_1_107, e) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1296) yields: % 213.65/148.69 | (1291) all_389_0_297 = 0 % 213.65/148.69 | (541) mem(all_212_1_107, e) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.65/148.69 | (538) $false % 213.65/148.69 | % 213.65/148.69 |-The branch is then unsatisfiable % 213.65/148.69 |-Branch two: % 213.65/148.69 | (1300) all_335_0_293 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1300) yields: % 213.65/148.69 | (1274) all_335_0_293 = 0 % 213.65/148.69 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 213.65/148.69 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 213.65/148.69 | % 213.65/148.69 | Instantiating (669) with all_370_0_302 yields: % 213.65/148.69 | (1304) (all_370_0_302 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_370_0_302 = 0 & mem(all_135_1_87, e) = 0) % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1260), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1305) all_354_0_294 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1305) yields: % 213.65/148.69 | (1306) all_354_0_294 = 0 % 213.65/148.69 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.65/148.69 | (551) all_165_2_96 = all_0_6_6 % 213.65/148.69 | % 213.65/148.69 | From (551) and (311) follows: % 213.65/148.69 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 213.65/148.69 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1272), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1278) all_362_0_295 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1278) yields: % 213.65/148.69 | (1279) all_362_0_295 = 0 % 213.65/148.69 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (553), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (557) all_244_0_111 = 0 % 213.65/148.69 | % 213.65/148.69 | Equations (557) can reduce 309 to: % 213.65/148.69 | (175) $false % 213.65/148.69 | % 213.65/148.69 |-The branch is then unsatisfiable % 213.65/148.69 |-Branch two: % 213.65/148.69 | (309) ~ (all_244_0_111 = 0) % 213.65/148.69 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.65/148.69 | (524) all_212_1_107 = all_0_6_6 % 213.65/148.69 | % 213.65/148.69 | From (524) and (310) follows: % 213.65/148.69 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 213.65/148.69 | (557) all_244_0_111 = 0 % 213.65/148.69 | % 213.65/148.69 | Equations (557) can reduce 309 to: % 213.65/148.69 | (175) $false % 213.65/148.69 | % 213.65/148.69 |-The branch is then unsatisfiable % 213.65/148.69 |-Branch two: % 213.65/148.69 | (1285) all_362_0_295 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1285) yields: % 213.65/148.69 | (1279) all_362_0_295 = 0 % 213.65/148.69 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.65/148.69 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.65/148.69 | % 213.65/148.69 | Instantiating (531) with all_400_0_311 yields: % 213.65/148.69 | (1326) (all_400_0_311 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_311 = 0 & mem(all_212_1_107, e) = 0) % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1326), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1327) all_400_0_311 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1327) yields: % 213.65/148.69 | (1328) all_400_0_311 = 0 % 213.65/148.69 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.65/148.69 | (536) all_212_1_107 = e % 213.65/148.69 | % 213.65/148.69 | From (536) and (310) follows: % 213.65/148.69 | (537) mem(all_244_1_112, e) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.65/148.69 | (538) $false % 213.65/148.69 | % 213.65/148.69 |-The branch is then unsatisfiable % 213.65/148.69 |-Branch two: % 213.65/148.69 | (1333) all_400_0_311 = 0 & mem(all_212_1_107, e) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1333) yields: % 213.65/148.69 | (1328) all_400_0_311 = 0 % 213.65/148.69 | (541) mem(all_212_1_107, e) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.65/148.69 | (538) $false % 213.65/148.69 | % 213.65/148.69 |-The branch is then unsatisfiable % 213.65/148.69 |-Branch two: % 213.65/148.69 | (1337) all_354_0_294 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1337) yields: % 213.65/148.69 | (1306) all_354_0_294 = 0 % 213.65/148.69 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.65/148.69 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.65/148.69 | % 213.65/148.69 | Instantiating (583) with all_378_0_314 yields: % 213.65/148.69 | (1341) (all_378_0_314 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_314 = 0 & mem(all_165_2_96, e) = 0) % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1304), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1342) all_370_0_302 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1342) yields: % 213.65/148.69 | (1343) all_370_0_302 = 0 % 213.65/148.69 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 213.65/148.69 | (711) all_135_1_87 = e % 213.65/148.69 | % 213.65/148.69 | From (711) and (231) follows: % 213.65/148.69 | (712) mem(e, all_99_1_77) = all_135_0_86 % 213.65/148.69 | % 213.65/148.69 +-Applying beta-rule and splitting (1341), into two cases. % 213.65/148.69 |-Branch one: % 213.65/148.69 | (1347) all_378_0_314 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.69 | % 213.65/148.69 | Applying alpha-rule on (1347) yields: % 213.65/148.69 | (1348) all_378_0_314 = 0 % 213.65/148.69 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.65/148.69 | (593) all_165_2_96 = e % 213.65/148.69 | % 213.65/148.69 | From (593) and (268) follows: % 213.65/148.69 | (717) mem(e, all_99_1_77) = 0 % 213.65/148.69 | % 213.65/148.69 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 213.65/148.70 | (261) all_135_0_86 = 0 % 213.65/148.70 | % 213.65/148.70 | Equations (261) can reduce 230 to: % 213.65/148.70 | (175) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (1354) all_378_0_314 = 0 & mem(all_165_2_96, e) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1354) yields: % 213.65/148.70 | (1348) all_378_0_314 = 0 % 213.65/148.70 | (599) mem(all_165_2_96, e) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.65/148.70 | (538) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (1358) all_370_0_302 = 0 & mem(all_135_1_87, e) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1358) yields: % 213.65/148.70 | (1343) all_370_0_302 = 0 % 213.65/148.70 | (726) mem(all_135_1_87, e) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 213.65/148.70 | (538) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (1121) all_300_0_256 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1121) yields: % 213.65/148.70 | (1115) all_300_0_256 = 0 % 213.65/148.70 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 213.65/148.70 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 213.65/148.70 | % 213.65/148.70 | Instantiating (490) with all_343_0_321 yields: % 213.65/148.70 | (1366) (all_343_0_321 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_321 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (1072), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (1126) all_308_0_260 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1126) yields: % 213.65/148.70 | (1127) all_308_0_260 = 0 % 213.65/148.70 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.65/148.70 | (495) all_165_2_96 = all_0_5_5 % 213.65/148.70 | % 213.65/148.70 | From (495) and (311) follows: % 213.65/148.70 | (737) mem(all_244_1_112, all_0_5_5) = all_244_0_111 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (8) with all_244_0_111, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_112 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_112, all_0_5_5) = all_244_0_111, yields: % 213.65/148.70 | (738) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (1108), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (1138) all_316_0_264 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1138) yields: % 213.65/148.70 | (1139) all_316_0_264 = 0 % 213.65/148.70 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (738), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (557) all_244_0_111 = 0 % 213.65/148.70 | % 213.65/148.70 | Equations (557) can reduce 309 to: % 213.65/148.70 | (175) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (309) ~ (all_244_0_111 = 0) % 213.65/148.70 | (745) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.65/148.70 | (507) all_212_1_107 = all_0_5_5 % 213.65/148.70 | % 213.65/148.70 | From (507) and (310) follows: % 213.65/148.70 | (747) mem(all_244_1_112, all_0_5_5) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (65) with all_244_1_112, all_0_5_5, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_5_5) = all_244_0_111, mem(all_244_1_112, all_0_5_5) = 0, yields: % 213.65/148.70 | (557) all_244_0_111 = 0 % 213.65/148.70 | % 213.65/148.70 | Equations (557) can reduce 309 to: % 213.65/148.70 | (175) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (1145) all_316_0_264 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1145) yields: % 213.65/148.70 | (1139) all_316_0_264 = 0 % 213.65/148.70 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.65/148.70 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.65/148.70 | % 213.65/148.70 | Instantiating (514) with all_373_0_330 yields: % 213.65/148.70 | (1388) (all_373_0_330 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_330 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (1243), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (1273) all_335_0_293 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1273) yields: % 213.65/148.70 | (1274) all_335_0_293 = 0 % 213.65/148.70 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 213.65/148.70 | (642) all_135_1_87 = all_0_6_6 % 213.65/148.70 | % 213.65/148.70 | From (642) and (231) follows: % 213.65/148.70 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (1388), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (1394) all_373_0_330 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1394) yields: % 213.65/148.70 | (1395) all_373_0_330 = 0 % 213.65/148.70 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.65/148.70 | (524) all_212_1_107 = all_0_6_6 % 213.65/148.70 | % 213.65/148.70 | From (524) and (286) follows: % 213.65/148.70 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 213.65/148.70 | (261) all_135_0_86 = 0 % 213.65/148.70 | % 213.65/148.70 | Equations (261) can reduce 230 to: % 213.65/148.70 | (175) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (1401) all_373_0_330 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1401) yields: % 213.65/148.70 | (1395) all_373_0_330 = 0 % 213.65/148.70 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.65/148.70 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.65/148.70 | % 213.65/148.70 | Instantiating (531) with all_417_0_340 yields: % 213.65/148.70 | (1405) (all_417_0_340 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_340 = 0 & mem(all_212_1_107, e) = 0) % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (1405), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (1406) all_417_0_340 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1406) yields: % 213.65/148.70 | (1407) all_417_0_340 = 0 % 213.65/148.70 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.65/148.70 | (536) all_212_1_107 = e % 213.65/148.70 | % 213.65/148.70 | From (536) and (310) follows: % 213.65/148.70 | (537) mem(all_244_1_112, e) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.65/148.70 | (538) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (1412) all_417_0_340 = 0 & mem(all_212_1_107, e) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1412) yields: % 213.65/148.70 | (1407) all_417_0_340 = 0 % 213.65/148.70 | (541) mem(all_212_1_107, e) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.65/148.70 | (538) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (1300) all_335_0_293 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1300) yields: % 213.65/148.70 | (1274) all_335_0_293 = 0 % 213.65/148.70 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 213.65/148.70 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 213.65/148.70 | % 213.65/148.70 | Instantiating (669) with all_392_0_345 yields: % 213.65/148.70 | (1420) (all_392_0_345 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_392_0_345 = 0 & mem(all_135_1_87, e) = 0) % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (1366), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (1421) all_343_0_321 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1421) yields: % 213.65/148.70 | (1422) all_343_0_321 = 0 % 213.65/148.70 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.65/148.70 | (519) all_181_1_101 = all_0_6_6 % 213.65/148.70 | % 213.65/148.70 | From (519) and (259) follows: % 213.65/148.70 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (1388), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (1394) all_373_0_330 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1394) yields: % 213.65/148.70 | (1395) all_373_0_330 = 0 % 213.65/148.70 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.65/148.70 | (524) all_212_1_107 = all_0_6_6 % 213.65/148.70 | % 213.65/148.70 | From (524) and (281) follows: % 213.65/148.70 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 213.65/148.70 | (526) all_181_0_100 = 0 % 213.65/148.70 | % 213.65/148.70 | Equations (526) can reduce 258 to: % 213.65/148.70 | (175) $false % 213.65/148.70 | % 213.65/148.70 |-The branch is then unsatisfiable % 213.65/148.70 |-Branch two: % 213.65/148.70 | (1401) all_373_0_330 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1401) yields: % 213.65/148.70 | (1395) all_373_0_330 = 0 % 213.65/148.70 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.65/148.70 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.65/148.70 | % 213.65/148.70 | Instantiating (531) with all_417_0_348 yields: % 213.65/148.70 | (1437) (all_417_0_348 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_348 = 0 & mem(all_212_1_107, e) = 0) % 213.65/148.70 | % 213.65/148.70 +-Applying beta-rule and splitting (1437), into two cases. % 213.65/148.70 |-Branch one: % 213.65/148.70 | (1438) all_417_0_348 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.70 | % 213.65/148.70 | Applying alpha-rule on (1438) yields: % 213.65/148.70 | (1439) all_417_0_348 = 0 % 213.65/148.70 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.65/148.70 | % 213.65/148.70 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.65/148.71 | (536) all_212_1_107 = e % 213.65/148.71 | % 213.65/148.71 | From (536) and (310) follows: % 213.65/148.71 | (537) mem(all_244_1_112, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.65/148.71 | (538) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1444) all_417_0_348 = 0 & mem(all_212_1_107, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1444) yields: % 213.65/148.71 | (1439) all_417_0_348 = 0 % 213.65/148.71 | (541) mem(all_212_1_107, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.65/148.71 | (538) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1448) all_343_0_321 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1448) yields: % 213.65/148.71 | (1422) all_343_0_321 = 0 % 213.65/148.71 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.65/148.71 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.65/148.71 | % 213.65/148.71 | Instantiating (546) with all_406_0_351 yields: % 213.65/148.71 | (1452) (all_406_0_351 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_406_0_351 = 0 & mem(all_181_1_101, e) = 0) % 213.65/148.71 | % 213.65/148.71 +-Applying beta-rule and splitting (1420), into two cases. % 213.65/148.71 |-Branch one: % 213.65/148.71 | (1453) all_392_0_345 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1453) yields: % 213.65/148.71 | (1454) all_392_0_345 = 0 % 213.65/148.71 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 213.65/148.71 | (711) all_135_1_87 = e % 213.65/148.71 | % 213.65/148.71 | From (711) and (231) follows: % 213.65/148.71 | (712) mem(e, all_99_1_77) = all_135_0_86 % 213.65/148.71 | % 213.65/148.71 +-Applying beta-rule and splitting (1452), into two cases. % 213.65/148.71 |-Branch one: % 213.65/148.71 | (1458) all_406_0_351 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1458) yields: % 213.65/148.71 | (1459) all_406_0_351 = 0 % 213.65/148.71 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.65/148.71 | (588) all_181_1_101 = e % 213.65/148.71 | % 213.65/148.71 | From (588) and (260) follows: % 213.65/148.71 | (717) mem(e, all_99_1_77) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 213.65/148.71 | (261) all_135_0_86 = 0 % 213.65/148.71 | % 213.65/148.71 | Equations (261) can reduce 230 to: % 213.65/148.71 | (175) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1465) all_406_0_351 = 0 & mem(all_181_1_101, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1465) yields: % 213.65/148.71 | (1459) all_406_0_351 = 0 % 213.65/148.71 | (603) mem(all_181_1_101, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.65/148.71 | (538) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1469) all_392_0_345 = 0 & mem(all_135_1_87, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1469) yields: % 213.65/148.71 | (1454) all_392_0_345 = 0 % 213.65/148.71 | (726) mem(all_135_1_87, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 213.65/148.71 | (538) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1133) all_308_0_260 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1133) yields: % 213.65/148.71 | (1127) all_308_0_260 = 0 % 213.65/148.71 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.65/148.71 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.65/148.71 | % 213.65/148.71 | Instantiating (502) with all_351_0_353 yields: % 213.65/148.71 | (1477) (all_351_0_353 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_353 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.65/148.71 | % 213.65/148.71 +-Applying beta-rule and splitting (1243), into two cases. % 213.65/148.71 |-Branch one: % 213.65/148.71 | (1273) all_335_0_293 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1273) yields: % 213.65/148.71 | (1274) all_335_0_293 = 0 % 213.65/148.71 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 213.65/148.71 | (642) all_135_1_87 = all_0_6_6 % 213.65/148.71 | % 213.65/148.71 | From (642) and (231) follows: % 213.65/148.71 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 213.65/148.71 | % 213.65/148.71 +-Applying beta-rule and splitting (1366), into two cases. % 213.65/148.71 |-Branch one: % 213.65/148.71 | (1421) all_343_0_321 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1421) yields: % 213.65/148.71 | (1422) all_343_0_321 = 0 % 213.65/148.71 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.65/148.71 | (519) all_181_1_101 = all_0_6_6 % 213.65/148.71 | % 213.65/148.71 | From (519) and (260) follows: % 213.65/148.71 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 213.65/148.71 | (261) all_135_0_86 = 0 % 213.65/148.71 | % 213.65/148.71 | Equations (261) can reduce 230 to: % 213.65/148.71 | (175) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1448) all_343_0_321 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1448) yields: % 213.65/148.71 | (1422) all_343_0_321 = 0 % 213.65/148.71 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.65/148.71 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.65/148.71 | % 213.65/148.71 | Instantiating (546) with all_389_0_358 yields: % 213.65/148.71 | (1494) (all_389_0_358 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_389_0_358 = 0 & mem(all_181_1_101, e) = 0) % 213.65/148.71 | % 213.65/148.71 +-Applying beta-rule and splitting (1477), into two cases. % 213.65/148.71 |-Branch one: % 213.65/148.71 | (1495) all_351_0_353 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1495) yields: % 213.65/148.71 | (1496) all_351_0_353 = 0 % 213.65/148.71 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.65/148.71 | (551) all_165_2_96 = all_0_6_6 % 213.65/148.71 | % 213.65/148.71 | From (551) and (268) follows: % 213.65/148.71 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 213.65/148.71 | (261) all_135_0_86 = 0 % 213.65/148.71 | % 213.65/148.71 | Equations (261) can reduce 230 to: % 213.65/148.71 | (175) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1502) all_351_0_353 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1502) yields: % 213.65/148.71 | (1496) all_351_0_353 = 0 % 213.65/148.71 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.65/148.71 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.65/148.71 | % 213.65/148.71 | Instantiating (583) with all_397_0_359 yields: % 213.65/148.71 | (1506) (all_397_0_359 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_359 = 0 & mem(all_165_2_96, e) = 0) % 213.65/148.71 | % 213.65/148.71 +-Applying beta-rule and splitting (1494), into two cases. % 213.65/148.71 |-Branch one: % 213.65/148.71 | (1507) all_389_0_358 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1507) yields: % 213.65/148.71 | (1508) all_389_0_358 = 0 % 213.65/148.71 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.65/148.71 | (588) all_181_1_101 = e % 213.65/148.71 | % 213.65/148.71 | From (588) and (259) follows: % 213.65/148.71 | (589) mem(e, all_129_1_85) = all_181_0_100 % 213.65/148.71 | % 213.65/148.71 +-Applying beta-rule and splitting (1506), into two cases. % 213.65/148.71 |-Branch one: % 213.65/148.71 | (1512) all_397_0_359 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1512) yields: % 213.65/148.71 | (1513) all_397_0_359 = 0 % 213.65/148.71 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.65/148.71 | (593) all_165_2_96 = e % 213.65/148.71 | % 213.65/148.71 | From (593) and (248) follows: % 213.65/148.71 | (594) mem(e, all_129_1_85) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 213.65/148.71 | (526) all_181_0_100 = 0 % 213.65/148.71 | % 213.65/148.71 | Equations (526) can reduce 258 to: % 213.65/148.71 | (175) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1519) all_397_0_359 = 0 & mem(all_165_2_96, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Applying alpha-rule on (1519) yields: % 213.65/148.71 | (1513) all_397_0_359 = 0 % 213.65/148.71 | (599) mem(all_165_2_96, e) = 0 % 213.65/148.71 | % 213.65/148.71 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.65/148.71 | (538) $false % 213.65/148.71 | % 213.65/148.71 |-The branch is then unsatisfiable % 213.65/148.71 |-Branch two: % 213.65/148.71 | (1523) all_389_0_358 = 0 & mem(all_181_1_101, e) = 0 % 213.96/148.71 | % 213.96/148.71 | Applying alpha-rule on (1523) yields: % 213.96/148.71 | (1508) all_389_0_358 = 0 % 213.96/148.71 | (603) mem(all_181_1_101, e) = 0 % 213.96/148.71 | % 213.96/148.71 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.96/148.71 | (538) $false % 213.96/148.71 | % 213.96/148.71 |-The branch is then unsatisfiable % 213.96/148.71 |-Branch two: % 213.96/148.71 | (1300) all_335_0_293 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 213.96/148.71 | % 213.96/148.71 | Applying alpha-rule on (1300) yields: % 213.96/148.71 | (1274) all_335_0_293 = 0 % 213.96/148.71 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 213.96/148.72 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 213.96/148.72 | % 213.96/148.72 | Instantiating (669) with all_377_0_362 yields: % 213.96/148.72 | (1531) (all_377_0_362 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_377_0_362 = 0 & mem(all_135_1_87, e) = 0) % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (1366), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (1421) all_343_0_321 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1421) yields: % 213.96/148.72 | (1422) all_343_0_321 = 0 % 213.96/148.72 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.96/148.72 | (519) all_181_1_101 = all_0_6_6 % 213.96/148.72 | % 213.96/148.72 | From (519) and (259) follows: % 213.96/148.72 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (1477), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (1495) all_351_0_353 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1495) yields: % 213.96/148.72 | (1496) all_351_0_353 = 0 % 213.96/148.72 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.96/148.72 | (551) all_165_2_96 = all_0_6_6 % 213.96/148.72 | % 213.96/148.72 | From (551) and (248) follows: % 213.96/148.72 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 213.96/148.72 | (526) all_181_0_100 = 0 % 213.96/148.72 | % 213.96/148.72 | Equations (526) can reduce 258 to: % 213.96/148.72 | (175) $false % 213.96/148.72 | % 213.96/148.72 |-The branch is then unsatisfiable % 213.96/148.72 |-Branch two: % 213.96/148.72 | (1502) all_351_0_353 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1502) yields: % 213.96/148.72 | (1496) all_351_0_353 = 0 % 213.96/148.72 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.96/148.72 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.96/148.72 | % 213.96/148.72 | Instantiating (583) with all_397_0_364 yields: % 213.96/148.72 | (1548) (all_397_0_364 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_364 = 0 & mem(all_165_2_96, e) = 0) % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (1531), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (1549) all_377_0_362 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1549) yields: % 213.96/148.72 | (1550) all_377_0_362 = 0 % 213.96/148.72 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 213.96/148.72 | (711) all_135_1_87 = e % 213.96/148.72 | % 213.96/148.72 | From (711) and (231) follows: % 213.96/148.72 | (712) mem(e, all_99_1_77) = all_135_0_86 % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (1548), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (1554) all_397_0_364 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1554) yields: % 213.96/148.72 | (1555) all_397_0_364 = 0 % 213.96/148.72 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.96/148.72 | (593) all_165_2_96 = e % 213.96/148.72 | % 213.96/148.72 | From (593) and (268) follows: % 213.96/148.72 | (717) mem(e, all_99_1_77) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 213.96/148.72 | (261) all_135_0_86 = 0 % 213.96/148.72 | % 213.96/148.72 | Equations (261) can reduce 230 to: % 213.96/148.72 | (175) $false % 213.96/148.72 | % 213.96/148.72 |-The branch is then unsatisfiable % 213.96/148.72 |-Branch two: % 213.96/148.72 | (1561) all_397_0_364 = 0 & mem(all_165_2_96, e) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1561) yields: % 213.96/148.72 | (1555) all_397_0_364 = 0 % 213.96/148.72 | (599) mem(all_165_2_96, e) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.96/148.72 | (538) $false % 213.96/148.72 | % 213.96/148.72 |-The branch is then unsatisfiable % 213.96/148.72 |-Branch two: % 213.96/148.72 | (1565) all_377_0_362 = 0 & mem(all_135_1_87, e) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1565) yields: % 213.96/148.72 | (1550) all_377_0_362 = 0 % 213.96/148.72 | (726) mem(all_135_1_87, e) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 213.96/148.72 | (538) $false % 213.96/148.72 | % 213.96/148.72 |-The branch is then unsatisfiable % 213.96/148.72 |-Branch two: % 213.96/148.72 | (1448) all_343_0_321 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1448) yields: % 213.96/148.72 | (1422) all_343_0_321 = 0 % 213.96/148.72 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.96/148.72 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.96/148.72 | % 213.96/148.72 | Instantiating (546) with all_386_0_365 yields: % 213.96/148.72 | (1573) (all_386_0_365 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_386_0_365 = 0 & mem(all_181_1_101, e) = 0) % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (1531), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (1549) all_377_0_362 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1549) yields: % 213.96/148.72 | (1550) all_377_0_362 = 0 % 213.96/148.72 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 213.96/148.72 | (711) all_135_1_87 = e % 213.96/148.72 | % 213.96/148.72 | From (711) and (231) follows: % 213.96/148.72 | (712) mem(e, all_99_1_77) = all_135_0_86 % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (1573), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (1579) all_386_0_365 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1579) yields: % 213.96/148.72 | (1580) all_386_0_365 = 0 % 213.96/148.72 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.96/148.72 | (588) all_181_1_101 = e % 213.96/148.72 | % 213.96/148.72 | From (588) and (260) follows: % 213.96/148.72 | (717) mem(e, all_99_1_77) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 213.96/148.72 | (261) all_135_0_86 = 0 % 213.96/148.72 | % 213.96/148.72 | Equations (261) can reduce 230 to: % 213.96/148.72 | (175) $false % 213.96/148.72 | % 213.96/148.72 |-The branch is then unsatisfiable % 213.96/148.72 |-Branch two: % 213.96/148.72 | (1586) all_386_0_365 = 0 & mem(all_181_1_101, e) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1586) yields: % 213.96/148.72 | (1580) all_386_0_365 = 0 % 213.96/148.72 | (603) mem(all_181_1_101, e) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.96/148.72 | (538) $false % 213.96/148.72 | % 213.96/148.72 |-The branch is then unsatisfiable % 213.96/148.72 |-Branch two: % 213.96/148.72 | (1565) all_377_0_362 = 0 & mem(all_135_1_87, e) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1565) yields: % 213.96/148.72 | (1550) all_377_0_362 = 0 % 213.96/148.72 | (726) mem(all_135_1_87, e) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 213.96/148.72 | (538) $false % 213.96/148.72 | % 213.96/148.72 |-The branch is then unsatisfiable % 213.96/148.72 |-Branch two: % 213.96/148.72 | (1594) all_162_0_92 = 0 & mem(all_110_1_81, all_0_4_4) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (1594) yields: % 213.96/148.72 | (322) all_162_0_92 = 0 % 213.96/148.72 | (1596) mem(all_110_1_81, all_0_4_4) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_110_1_81, all_0_4_4) = 0, yields: % 213.96/148.72 | (1597) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_70_0_66) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_5_5) = 0)) % 213.96/148.72 | % 213.96/148.72 | Instantiating (1597) with all_273_0_379 yields: % 213.96/148.72 | (1598) (all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0) | (all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0) % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (291), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (326) all_226_0_108 = 0 & mem(all_85_1_73, all_72_0_67) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (326) yields: % 213.96/148.72 | (327) all_226_0_108 = 0 % 213.96/148.72 | (328) mem(all_85_1_73, all_72_0_67) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_85_1_73 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_85_1_73, all_72_0_67) = 0, yields: % 213.96/148.72 | (329) all_85_1_73 = all_0_2_2 % 213.96/148.72 | % 213.96/148.72 | From (329) and (184) follows: % 213.96/148.72 | (330) mem(all_0_2_2, all_57_1_62) = all_85_0_72 % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (292), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (331) all_227_0_109 = 0 & mem(all_135_1_87, all_0_1_1) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (331) yields: % 213.96/148.72 | (332) all_227_0_109 = 0 % 213.96/148.72 | (333) mem(all_135_1_87, all_0_1_1) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_135_1_87, all_0_1_1) = 0, yields: % 213.96/148.72 | (334) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_2_2) = 0)) % 213.96/148.72 | % 213.96/148.72 | Instantiating (334) with all_292_0_380 yields: % 213.96/148.72 | (1608) (all_292_0_380 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (all_292_0_380 = 0 & mem(all_135_1_87, all_0_2_2) = 0) % 213.96/148.72 | % 213.96/148.72 +-Applying beta-rule and splitting (315), into two cases. % 213.96/148.72 |-Branch one: % 213.96/148.72 | (367) all_252_0_113 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 213.96/148.72 | % 213.96/148.72 | Applying alpha-rule on (367) yields: % 213.96/148.72 | (368) all_252_0_113 = 0 % 213.96/148.72 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 213.96/148.72 | % 213.96/148.72 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 213.96/148.72 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 213.96/148.72 | % 213.96/148.72 | Instantiating (370) with all_300_0_381 yields: % 213.96/148.72 | (1613) (all_300_0_381 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_381 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 213.96/148.73 | % 213.96/148.73 +-Applying beta-rule and splitting (1608), into two cases. % 213.96/148.73 |-Branch one: % 213.96/148.73 | (1614) all_292_0_380 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1614) yields: % 213.96/148.73 | (1615) all_292_0_380 = 0 % 213.96/148.73 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 213.96/148.73 | (351) all_135_1_87 = all_0_2_2 % 213.96/148.73 | % 213.96/148.73 | From (351) and (241) follows: % 213.96/148.73 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.96/148.73 | (212) all_85_0_72 = 0 % 213.96/148.73 | % 213.96/148.73 | Equations (212) can reduce 183 to: % 213.96/148.73 | (175) $false % 213.96/148.73 | % 213.96/148.73 |-The branch is then unsatisfiable % 213.96/148.73 |-Branch two: % 213.96/148.73 | (1621) all_292_0_380 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1621) yields: % 213.96/148.73 | (1615) all_292_0_380 = 0 % 213.96/148.73 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 213.96/148.73 | (358) all_135_1_87 = all_0_3_3 % 213.96/148.73 | % 213.96/148.73 | From (358) and (231) follows: % 213.96/148.73 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 213.96/148.73 | % 213.96/148.73 +-Applying beta-rule and splitting (1613), into two cases. % 213.96/148.73 |-Branch one: % 213.96/148.73 | (1626) all_300_0_381 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1626) yields: % 213.96/148.73 | (1627) all_300_0_381 = 0 % 213.96/148.73 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 213.96/148.73 | (387) all_181_1_101 = all_0_2_2 % 213.96/148.73 | % 213.96/148.73 | From (387) and (287) follows: % 213.96/148.73 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.96/148.73 | (212) all_85_0_72 = 0 % 213.96/148.73 | % 213.96/148.73 | Equations (212) can reduce 183 to: % 213.96/148.73 | (175) $false % 213.96/148.73 | % 213.96/148.73 |-The branch is then unsatisfiable % 213.96/148.73 |-Branch two: % 213.96/148.73 | (1633) all_300_0_381 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1633) yields: % 213.96/148.73 | (1627) all_300_0_381 = 0 % 213.96/148.73 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 213.96/148.73 | (394) all_181_1_101 = all_0_3_3 % 213.96/148.73 | % 213.96/148.73 | From (394) and (260) follows: % 213.96/148.73 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 213.96/148.73 | (261) all_135_0_86 = 0 % 213.96/148.73 | % 213.96/148.73 | Equations (261) can reduce 230 to: % 213.96/148.73 | (175) $false % 213.96/148.73 | % 213.96/148.73 |-The branch is then unsatisfiable % 213.96/148.73 |-Branch two: % 213.96/148.73 | (398) all_252_0_113 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (398) yields: % 213.96/148.73 | (368) all_252_0_113 = 0 % 213.96/148.73 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 213.96/148.73 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 213.96/148.73 | % 213.96/148.73 | Instantiating (401) with all_300_0_384 yields: % 213.96/148.73 | (1644) (all_300_0_384 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_384 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 213.96/148.73 | % 213.96/148.73 +-Applying beta-rule and splitting (318), into two cases. % 213.96/148.73 |-Branch one: % 213.96/148.73 | (403) all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (403) yields: % 213.96/148.73 | (404) all_259_0_114 = 0 % 213.96/148.73 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 213.96/148.73 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 213.96/148.73 | % 213.96/148.73 | Instantiating (406) with all_308_0_385 yields: % 213.96/148.73 | (1649) (all_308_0_385 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_385 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 213.96/148.73 | % 213.96/148.73 +-Applying beta-rule and splitting (1608), into two cases. % 213.96/148.73 |-Branch one: % 213.96/148.73 | (1614) all_292_0_380 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1614) yields: % 213.96/148.73 | (1615) all_292_0_380 = 0 % 213.96/148.73 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 213.96/148.73 | (351) all_135_1_87 = all_0_2_2 % 213.96/148.73 | % 213.96/148.73 | From (351) and (241) follows: % 213.96/148.73 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.96/148.73 | (212) all_85_0_72 = 0 % 213.96/148.73 | % 213.96/148.73 | Equations (212) can reduce 183 to: % 213.96/148.73 | (175) $false % 213.96/148.73 | % 213.96/148.73 |-The branch is then unsatisfiable % 213.96/148.73 |-Branch two: % 213.96/148.73 | (1621) all_292_0_380 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1621) yields: % 213.96/148.73 | (1615) all_292_0_380 = 0 % 213.96/148.73 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 213.96/148.73 | (358) all_135_1_87 = all_0_3_3 % 213.96/148.73 | % 213.96/148.73 | From (358) and (231) follows: % 213.96/148.73 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 213.96/148.73 | % 213.96/148.73 +-Applying beta-rule and splitting (1649), into two cases. % 213.96/148.73 |-Branch one: % 213.96/148.73 | (1662) all_308_0_385 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1662) yields: % 213.96/148.73 | (1663) all_308_0_385 = 0 % 213.96/148.73 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 213.96/148.73 | (423) all_165_2_96 = all_0_2_2 % 213.96/148.73 | % 213.96/148.73 | From (423) and (303) follows: % 213.96/148.73 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.96/148.73 | (212) all_85_0_72 = 0 % 213.96/148.73 | % 213.96/148.73 | Equations (212) can reduce 183 to: % 213.96/148.73 | (175) $false % 213.96/148.73 | % 213.96/148.73 |-The branch is then unsatisfiable % 213.96/148.73 |-Branch two: % 213.96/148.73 | (1669) all_308_0_385 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1669) yields: % 213.96/148.73 | (1663) all_308_0_385 = 0 % 213.96/148.73 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 213.96/148.73 | (430) all_165_2_96 = all_0_3_3 % 213.96/148.73 | % 213.96/148.73 | From (430) and (268) follows: % 213.96/148.73 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 213.96/148.73 | (261) all_135_0_86 = 0 % 213.96/148.73 | % 213.96/148.73 | Equations (261) can reduce 230 to: % 213.96/148.73 | (175) $false % 213.96/148.73 | % 213.96/148.73 |-The branch is then unsatisfiable % 213.96/148.73 |-Branch two: % 213.96/148.73 | (434) all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (434) yields: % 213.96/148.73 | (404) all_259_0_114 = 0 % 213.96/148.73 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 213.96/148.73 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 213.96/148.73 | % 213.96/148.73 | Instantiating (437) with all_308_0_388 yields: % 213.96/148.73 | (1680) (all_308_0_388 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_388 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 213.96/148.73 | % 213.96/148.73 +-Applying beta-rule and splitting (320), into two cases. % 213.96/148.73 |-Branch one: % 213.96/148.73 | (439) all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (439) yields: % 213.96/148.73 | (440) all_265_0_115 = 0 % 213.96/148.73 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 213.96/148.73 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 213.96/148.73 | % 213.96/148.73 | Instantiating (442) with all_316_0_389 yields: % 213.96/148.73 | (1685) (all_316_0_389 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_389 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 213.96/148.73 | % 213.96/148.73 +-Applying beta-rule and splitting (1608), into two cases. % 213.96/148.73 |-Branch one: % 213.96/148.73 | (1614) all_292_0_380 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1614) yields: % 213.96/148.73 | (1615) all_292_0_380 = 0 % 213.96/148.73 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 213.96/148.73 | (351) all_135_1_87 = all_0_2_2 % 213.96/148.73 | % 213.96/148.73 | From (351) and (241) follows: % 213.96/148.73 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.96/148.73 | (212) all_85_0_72 = 0 % 213.96/148.73 | % 213.96/148.73 | Equations (212) can reduce 183 to: % 213.96/148.73 | (175) $false % 213.96/148.73 | % 213.96/148.73 |-The branch is then unsatisfiable % 213.96/148.73 |-Branch two: % 213.96/148.73 | (1621) all_292_0_380 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1621) yields: % 213.96/148.73 | (1615) all_292_0_380 = 0 % 213.96/148.73 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 213.96/148.73 | (358) all_135_1_87 = all_0_3_3 % 213.96/148.73 | % 213.96/148.73 | From (358) and (231) follows: % 213.96/148.73 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 213.96/148.73 | % 213.96/148.73 +-Applying beta-rule and splitting (1685), into two cases. % 213.96/148.73 |-Branch one: % 213.96/148.73 | (1698) all_316_0_389 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1698) yields: % 213.96/148.73 | (1699) all_316_0_389 = 0 % 213.96/148.73 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 213.96/148.73 | (459) all_212_1_107 = all_0_2_2 % 213.96/148.73 | % 213.96/148.73 | From (459) and (312) follows: % 213.96/148.73 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 213.96/148.73 | % 213.96/148.73 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 213.96/148.73 | (212) all_85_0_72 = 0 % 213.96/148.73 | % 213.96/148.73 | Equations (212) can reduce 183 to: % 213.96/148.73 | (175) $false % 213.96/148.73 | % 213.96/148.73 |-The branch is then unsatisfiable % 213.96/148.73 |-Branch two: % 213.96/148.73 | (1705) all_316_0_389 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 213.96/148.73 | % 213.96/148.73 | Applying alpha-rule on (1705) yields: % 213.96/148.73 | (1699) all_316_0_389 = 0 % 213.96/148.74 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 213.96/148.74 | (466) all_212_1_107 = all_0_3_3 % 213.96/148.74 | % 213.96/148.74 | From (466) and (286) follows: % 213.96/148.74 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 213.96/148.74 | (261) all_135_0_86 = 0 % 213.96/148.74 | % 213.96/148.74 | Equations (261) can reduce 230 to: % 213.96/148.74 | (175) $false % 213.96/148.74 | % 213.96/148.74 |-The branch is then unsatisfiable % 213.96/148.74 |-Branch two: % 213.96/148.74 | (470) all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (470) yields: % 213.96/148.74 | (440) all_265_0_115 = 0 % 213.96/148.74 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 213.96/148.74 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 213.96/148.74 | % 213.96/148.74 | Instantiating (473) with all_316_0_392 yields: % 213.96/148.74 | (1716) (all_316_0_392 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_392 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 213.96/148.74 | % 213.96/148.74 +-Applying beta-rule and splitting (1598), into two cases. % 213.96/148.74 |-Branch one: % 213.96/148.74 | (1717) all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1717) yields: % 213.96/148.74 | (1718) all_273_0_379 = 0 % 213.96/148.74 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 213.96/148.74 | (1720) all_110_1_81 = all_0_5_5 % 213.96/148.74 | % 213.96/148.74 | From (1720) and (210) follows: % 213.96/148.74 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 213.96/148.74 | % 213.96/148.74 +-Applying beta-rule and splitting (1644), into two cases. % 213.96/148.74 |-Branch one: % 213.96/148.74 | (1722) all_300_0_384 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1722) yields: % 213.96/148.74 | (1723) all_300_0_384 = 0 % 213.96/148.74 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 213.96/148.74 | (483) all_181_1_101 = all_0_5_5 % 213.96/148.74 | % 213.96/148.74 | From (483) and (267) follows: % 213.96/148.74 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 213.96/148.74 | (233) all_110_0_80 = 0 % 213.96/148.74 | % 213.96/148.74 | Equations (233) can reduce 209 to: % 213.96/148.74 | (175) $false % 213.96/148.74 | % 213.96/148.74 |-The branch is then unsatisfiable % 213.96/148.74 |-Branch two: % 213.96/148.74 | (1729) all_300_0_384 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1729) yields: % 213.96/148.74 | (1723) all_300_0_384 = 0 % 213.96/148.74 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 213.96/148.74 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 213.96/148.74 | % 213.96/148.74 | Instantiating (490) with all_346_0_393 yields: % 213.96/148.74 | (1733) (all_346_0_393 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_346_0_393 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 213.96/148.74 | % 213.96/148.74 +-Applying beta-rule and splitting (1680), into two cases. % 213.96/148.74 |-Branch one: % 213.96/148.74 | (1734) all_308_0_388 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1734) yields: % 213.96/148.74 | (1735) all_308_0_388 = 0 % 213.96/148.74 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.96/148.74 | (495) all_165_2_96 = all_0_5_5 % 213.96/148.74 | % 213.96/148.74 | From (495) and (288) follows: % 213.96/148.74 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 213.96/148.74 | (233) all_110_0_80 = 0 % 213.96/148.74 | % 213.96/148.74 | Equations (233) can reduce 209 to: % 213.96/148.74 | (175) $false % 213.96/148.74 | % 213.96/148.74 |-The branch is then unsatisfiable % 213.96/148.74 |-Branch two: % 213.96/148.74 | (1741) all_308_0_388 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1741) yields: % 213.96/148.74 | (1735) all_308_0_388 = 0 % 213.96/148.74 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.96/148.74 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.96/148.74 | % 213.96/148.74 | Instantiating (502) with all_354_0_394 yields: % 213.96/148.74 | (1745) (all_354_0_394 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_394 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.96/148.74 | % 213.96/148.74 +-Applying beta-rule and splitting (1716), into two cases. % 213.96/148.74 |-Branch one: % 213.96/148.74 | (1746) all_316_0_392 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1746) yields: % 213.96/148.74 | (1747) all_316_0_392 = 0 % 213.96/148.74 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.96/148.74 | (507) all_212_1_107 = all_0_5_5 % 213.96/148.74 | % 213.96/148.74 | From (507) and (301) follows: % 213.96/148.74 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 213.96/148.74 | (233) all_110_0_80 = 0 % 213.96/148.74 | % 213.96/148.74 | Equations (233) can reduce 209 to: % 213.96/148.74 | (175) $false % 213.96/148.74 | % 213.96/148.74 |-The branch is then unsatisfiable % 213.96/148.74 |-Branch two: % 213.96/148.74 | (1753) all_316_0_392 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1753) yields: % 213.96/148.74 | (1747) all_316_0_392 = 0 % 213.96/148.74 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.96/148.74 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.96/148.74 | % 213.96/148.74 | Instantiating (514) with all_362_0_395 yields: % 213.96/148.74 | (1757) (all_362_0_395 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_395 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.96/148.74 | % 213.96/148.74 +-Applying beta-rule and splitting (1733), into two cases. % 213.96/148.74 |-Branch one: % 213.96/148.74 | (1758) all_346_0_393 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1758) yields: % 213.96/148.74 | (1759) all_346_0_393 = 0 % 213.96/148.74 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.96/148.74 | (519) all_181_1_101 = all_0_6_6 % 213.96/148.74 | % 213.96/148.74 | From (519) and (259) follows: % 213.96/148.74 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 213.96/148.74 | % 213.96/148.74 +-Applying beta-rule and splitting (1757), into two cases. % 213.96/148.74 |-Branch one: % 213.96/148.74 | (1763) all_362_0_395 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1763) yields: % 213.96/148.74 | (1764) all_362_0_395 = 0 % 213.96/148.74 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.96/148.74 | (524) all_212_1_107 = all_0_6_6 % 213.96/148.74 | % 213.96/148.74 | From (524) and (281) follows: % 213.96/148.74 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 213.96/148.74 | (526) all_181_0_100 = 0 % 213.96/148.74 | % 213.96/148.74 | Equations (526) can reduce 258 to: % 213.96/148.74 | (175) $false % 213.96/148.74 | % 213.96/148.74 |-The branch is then unsatisfiable % 213.96/148.74 |-Branch two: % 213.96/148.74 | (1770) all_362_0_395 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1770) yields: % 213.96/148.74 | (1764) all_362_0_395 = 0 % 213.96/148.74 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.96/148.74 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.96/148.74 | % 213.96/148.74 | Instantiating (531) with all_389_0_397 yields: % 213.96/148.74 | (1774) (all_389_0_397 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_397 = 0 & mem(all_212_1_107, e) = 0) % 213.96/148.74 | % 213.96/148.74 +-Applying beta-rule and splitting (1774), into two cases. % 213.96/148.74 |-Branch one: % 213.96/148.74 | (1775) all_389_0_397 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1775) yields: % 213.96/148.74 | (1776) all_389_0_397 = 0 % 213.96/148.74 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.96/148.74 | (536) all_212_1_107 = e % 213.96/148.74 | % 213.96/148.74 | From (536) and (310) follows: % 213.96/148.74 | (537) mem(all_244_1_112, e) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.96/148.74 | (538) $false % 213.96/148.74 | % 213.96/148.74 |-The branch is then unsatisfiable % 213.96/148.74 |-Branch two: % 213.96/148.74 | (1781) all_389_0_397 = 0 & mem(all_212_1_107, e) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1781) yields: % 213.96/148.74 | (1776) all_389_0_397 = 0 % 213.96/148.74 | (541) mem(all_212_1_107, e) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.96/148.74 | (538) $false % 213.96/148.74 | % 213.96/148.74 |-The branch is then unsatisfiable % 213.96/148.74 |-Branch two: % 213.96/148.74 | (1785) all_346_0_393 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.96/148.74 | % 213.96/148.74 | Applying alpha-rule on (1785) yields: % 213.96/148.74 | (1759) all_346_0_393 = 0 % 213.96/148.74 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.96/148.74 | % 213.96/148.74 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.96/148.74 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.96/148.74 | % 213.96/148.74 | Instantiating (546) with all_370_0_402 yields: % 213.96/148.74 | (1789) (all_370_0_402 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_370_0_402 = 0 & mem(all_181_1_101, e) = 0) % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (1745), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (1790) all_354_0_394 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1790) yields: % 213.96/148.75 | (1791) all_354_0_394 = 0 % 213.96/148.75 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.96/148.75 | (551) all_165_2_96 = all_0_6_6 % 213.96/148.75 | % 213.96/148.75 | From (551) and (311) follows: % 213.96/148.75 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 213.96/148.75 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (1757), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (1763) all_362_0_395 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1763) yields: % 213.96/148.75 | (1764) all_362_0_395 = 0 % 213.96/148.75 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (553), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (557) all_244_0_111 = 0 % 213.96/148.75 | % 213.96/148.75 | Equations (557) can reduce 309 to: % 213.96/148.75 | (175) $false % 213.96/148.75 | % 213.96/148.75 |-The branch is then unsatisfiable % 213.96/148.75 |-Branch two: % 213.96/148.75 | (309) ~ (all_244_0_111 = 0) % 213.96/148.75 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.96/148.75 | (524) all_212_1_107 = all_0_6_6 % 213.96/148.75 | % 213.96/148.75 | From (524) and (310) follows: % 213.96/148.75 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 213.96/148.75 | (557) all_244_0_111 = 0 % 213.96/148.75 | % 213.96/148.75 | Equations (557) can reduce 309 to: % 213.96/148.75 | (175) $false % 213.96/148.75 | % 213.96/148.75 |-The branch is then unsatisfiable % 213.96/148.75 |-Branch two: % 213.96/148.75 | (1770) all_362_0_395 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1770) yields: % 213.96/148.75 | (1764) all_362_0_395 = 0 % 213.96/148.75 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.96/148.75 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.96/148.75 | % 213.96/148.75 | Instantiating (531) with all_400_0_411 yields: % 213.96/148.75 | (1811) (all_400_0_411 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_411 = 0 & mem(all_212_1_107, e) = 0) % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (1811), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (1812) all_400_0_411 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1812) yields: % 213.96/148.75 | (1813) all_400_0_411 = 0 % 213.96/148.75 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.96/148.75 | (536) all_212_1_107 = e % 213.96/148.75 | % 213.96/148.75 | From (536) and (310) follows: % 213.96/148.75 | (537) mem(all_244_1_112, e) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.96/148.75 | (538) $false % 213.96/148.75 | % 213.96/148.75 |-The branch is then unsatisfiable % 213.96/148.75 |-Branch two: % 213.96/148.75 | (1818) all_400_0_411 = 0 & mem(all_212_1_107, e) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1818) yields: % 213.96/148.75 | (1813) all_400_0_411 = 0 % 213.96/148.75 | (541) mem(all_212_1_107, e) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.96/148.75 | (538) $false % 213.96/148.75 | % 213.96/148.75 |-The branch is then unsatisfiable % 213.96/148.75 |-Branch two: % 213.96/148.75 | (1822) all_354_0_394 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1822) yields: % 213.96/148.75 | (1791) all_354_0_394 = 0 % 213.96/148.75 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.96/148.75 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.96/148.75 | % 213.96/148.75 | Instantiating (583) with all_378_0_414 yields: % 213.96/148.75 | (1826) (all_378_0_414 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_414 = 0 & mem(all_165_2_96, e) = 0) % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (1789), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (1827) all_370_0_402 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1827) yields: % 213.96/148.75 | (1828) all_370_0_402 = 0 % 213.96/148.75 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.96/148.75 | (588) all_181_1_101 = e % 213.96/148.75 | % 213.96/148.75 | From (588) and (259) follows: % 213.96/148.75 | (589) mem(e, all_129_1_85) = all_181_0_100 % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (1826), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (1832) all_378_0_414 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1832) yields: % 213.96/148.75 | (1833) all_378_0_414 = 0 % 213.96/148.75 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.96/148.75 | (593) all_165_2_96 = e % 213.96/148.75 | % 213.96/148.75 | From (593) and (248) follows: % 213.96/148.75 | (594) mem(e, all_129_1_85) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 213.96/148.75 | (526) all_181_0_100 = 0 % 213.96/148.75 | % 213.96/148.75 | Equations (526) can reduce 258 to: % 213.96/148.75 | (175) $false % 213.96/148.75 | % 213.96/148.75 |-The branch is then unsatisfiable % 213.96/148.75 |-Branch two: % 213.96/148.75 | (1839) all_378_0_414 = 0 & mem(all_165_2_96, e) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1839) yields: % 213.96/148.75 | (1833) all_378_0_414 = 0 % 213.96/148.75 | (599) mem(all_165_2_96, e) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.96/148.75 | (538) $false % 213.96/148.75 | % 213.96/148.75 |-The branch is then unsatisfiable % 213.96/148.75 |-Branch two: % 213.96/148.75 | (1843) all_370_0_402 = 0 & mem(all_181_1_101, e) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1843) yields: % 213.96/148.75 | (1828) all_370_0_402 = 0 % 213.96/148.75 | (603) mem(all_181_1_101, e) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.96/148.75 | (538) $false % 213.96/148.75 | % 213.96/148.75 |-The branch is then unsatisfiable % 213.96/148.75 |-Branch two: % 213.96/148.75 | (1847) all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1847) yields: % 213.96/148.75 | (1718) all_273_0_379 = 0 % 213.96/148.75 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 213.96/148.75 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 213.96/148.75 | % 213.96/148.75 | Instantiating (1850) with all_324_0_421 yields: % 213.96/148.75 | (1851) (all_324_0_421 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_421 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (1644), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (1722) all_300_0_384 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1722) yields: % 213.96/148.75 | (1723) all_300_0_384 = 0 % 213.96/148.75 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 213.96/148.75 | (483) all_181_1_101 = all_0_5_5 % 213.96/148.75 | % 213.96/148.75 | From (483) and (259) follows: % 213.96/148.75 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (1680), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (1734) all_308_0_388 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1734) yields: % 213.96/148.75 | (1735) all_308_0_388 = 0 % 213.96/148.75 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.96/148.75 | (495) all_165_2_96 = all_0_5_5 % 213.96/148.75 | % 213.96/148.75 | From (495) and (248) follows: % 213.96/148.75 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 213.96/148.75 | (526) all_181_0_100 = 0 % 213.96/148.75 | % 213.96/148.75 | Equations (526) can reduce 258 to: % 213.96/148.75 | (175) $false % 213.96/148.75 | % 213.96/148.75 |-The branch is then unsatisfiable % 213.96/148.75 |-Branch two: % 213.96/148.75 | (1741) all_308_0_388 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1741) yields: % 213.96/148.75 | (1735) all_308_0_388 = 0 % 213.96/148.75 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.96/148.75 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.96/148.75 | % 213.96/148.75 | Instantiating (502) with all_354_0_422 yields: % 213.96/148.75 | (1868) (all_354_0_422 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_422 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.96/148.75 | % 213.96/148.75 +-Applying beta-rule and splitting (1716), into two cases. % 213.96/148.75 |-Branch one: % 213.96/148.75 | (1746) all_316_0_392 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.96/148.75 | % 213.96/148.75 | Applying alpha-rule on (1746) yields: % 213.96/148.75 | (1747) all_316_0_392 = 0 % 213.96/148.75 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.96/148.75 | % 213.96/148.75 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.96/148.75 | (507) all_212_1_107 = all_0_5_5 % 213.96/148.75 | % 213.96/148.75 | From (507) and (281) follows: % 213.96/148.76 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 213.96/148.76 | (526) all_181_0_100 = 0 % 213.96/148.76 | % 213.96/148.76 | Equations (526) can reduce 258 to: % 213.96/148.76 | (175) $false % 213.96/148.76 | % 213.96/148.76 |-The branch is then unsatisfiable % 213.96/148.76 |-Branch two: % 213.96/148.76 | (1753) all_316_0_392 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1753) yields: % 213.96/148.76 | (1747) all_316_0_392 = 0 % 213.96/148.76 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.96/148.76 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.96/148.76 | % 213.96/148.76 | Instantiating (514) with all_362_0_423 yields: % 213.96/148.76 | (1880) (all_362_0_423 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_423 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (1851), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (1881) all_324_0_421 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1881) yields: % 213.96/148.76 | (1882) all_324_0_421 = 0 % 213.96/148.76 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 213.96/148.76 | (1884) all_110_1_81 = all_0_6_6 % 213.96/148.76 | % 213.96/148.76 | From (1884) and (210) follows: % 213.96/148.76 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (1880), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (1886) all_362_0_423 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1886) yields: % 213.96/148.76 | (1887) all_362_0_423 = 0 % 213.96/148.76 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.96/148.76 | (524) all_212_1_107 = all_0_6_6 % 213.96/148.76 | % 213.96/148.76 | From (524) and (301) follows: % 213.96/148.76 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 213.96/148.76 | (233) all_110_0_80 = 0 % 213.96/148.76 | % 213.96/148.76 | Equations (233) can reduce 209 to: % 213.96/148.76 | (175) $false % 213.96/148.76 | % 213.96/148.76 |-The branch is then unsatisfiable % 213.96/148.76 |-Branch two: % 213.96/148.76 | (1893) all_362_0_423 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1893) yields: % 213.96/148.76 | (1887) all_362_0_423 = 0 % 213.96/148.76 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.96/148.76 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.96/148.76 | % 213.96/148.76 | Instantiating (531) with all_389_0_425 yields: % 213.96/148.76 | (1897) (all_389_0_425 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_425 = 0 & mem(all_212_1_107, e) = 0) % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (1897), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (1898) all_389_0_425 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1898) yields: % 213.96/148.76 | (1899) all_389_0_425 = 0 % 213.96/148.76 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.96/148.76 | (536) all_212_1_107 = e % 213.96/148.76 | % 213.96/148.76 | From (536) and (310) follows: % 213.96/148.76 | (537) mem(all_244_1_112, e) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.96/148.76 | (538) $false % 213.96/148.76 | % 213.96/148.76 |-The branch is then unsatisfiable % 213.96/148.76 |-Branch two: % 213.96/148.76 | (1904) all_389_0_425 = 0 & mem(all_212_1_107, e) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1904) yields: % 213.96/148.76 | (1899) all_389_0_425 = 0 % 213.96/148.76 | (541) mem(all_212_1_107, e) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.96/148.76 | (538) $false % 213.96/148.76 | % 213.96/148.76 |-The branch is then unsatisfiable % 213.96/148.76 |-Branch two: % 213.96/148.76 | (1908) all_324_0_421 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1908) yields: % 213.96/148.76 | (1882) all_324_0_421 = 0 % 213.96/148.76 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 213.96/148.76 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 213.96/148.76 | % 213.96/148.76 | Instantiating (1911) with all_370_0_430 yields: % 213.96/148.76 | (1912) (all_370_0_430 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_370_0_430 = 0 & mem(all_110_1_81, e) = 0) % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (1868), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (1913) all_354_0_422 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1913) yields: % 213.96/148.76 | (1914) all_354_0_422 = 0 % 213.96/148.76 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.96/148.76 | (551) all_165_2_96 = all_0_6_6 % 213.96/148.76 | % 213.96/148.76 | From (551) and (311) follows: % 213.96/148.76 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 213.96/148.76 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (1880), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (1886) all_362_0_423 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1886) yields: % 213.96/148.76 | (1887) all_362_0_423 = 0 % 213.96/148.76 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (553), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (557) all_244_0_111 = 0 % 213.96/148.76 | % 213.96/148.76 | Equations (557) can reduce 309 to: % 213.96/148.76 | (175) $false % 213.96/148.76 | % 213.96/148.76 |-The branch is then unsatisfiable % 213.96/148.76 |-Branch two: % 213.96/148.76 | (309) ~ (all_244_0_111 = 0) % 213.96/148.76 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.96/148.76 | (524) all_212_1_107 = all_0_6_6 % 213.96/148.76 | % 213.96/148.76 | From (524) and (310) follows: % 213.96/148.76 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 213.96/148.76 | (557) all_244_0_111 = 0 % 213.96/148.76 | % 213.96/148.76 | Equations (557) can reduce 309 to: % 213.96/148.76 | (175) $false % 213.96/148.76 | % 213.96/148.76 |-The branch is then unsatisfiable % 213.96/148.76 |-Branch two: % 213.96/148.76 | (1893) all_362_0_423 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1893) yields: % 213.96/148.76 | (1887) all_362_0_423 = 0 % 213.96/148.76 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.96/148.76 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.96/148.76 | % 213.96/148.76 | Instantiating (531) with all_400_0_439 yields: % 213.96/148.76 | (1934) (all_400_0_439 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_439 = 0 & mem(all_212_1_107, e) = 0) % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (1934), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (1935) all_400_0_439 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1935) yields: % 213.96/148.76 | (1936) all_400_0_439 = 0 % 213.96/148.76 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.96/148.76 | (536) all_212_1_107 = e % 213.96/148.76 | % 213.96/148.76 | From (536) and (310) follows: % 213.96/148.76 | (537) mem(all_244_1_112, e) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.96/148.76 | (538) $false % 213.96/148.76 | % 213.96/148.76 |-The branch is then unsatisfiable % 213.96/148.76 |-Branch two: % 213.96/148.76 | (1941) all_400_0_439 = 0 & mem(all_212_1_107, e) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1941) yields: % 213.96/148.76 | (1936) all_400_0_439 = 0 % 213.96/148.76 | (541) mem(all_212_1_107, e) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.96/148.76 | (538) $false % 213.96/148.76 | % 213.96/148.76 |-The branch is then unsatisfiable % 213.96/148.76 |-Branch two: % 213.96/148.76 | (1945) all_354_0_422 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1945) yields: % 213.96/148.76 | (1914) all_354_0_422 = 0 % 213.96/148.76 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 213.96/148.76 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 213.96/148.76 | % 213.96/148.76 | Instantiating (583) with all_378_0_442 yields: % 213.96/148.76 | (1949) (all_378_0_442 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_442 = 0 & mem(all_165_2_96, e) = 0) % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (1912), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (1950) all_370_0_430 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 213.96/148.76 | % 213.96/148.76 | Applying alpha-rule on (1950) yields: % 213.96/148.76 | (1951) all_370_0_430 = 0 % 213.96/148.76 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 213.96/148.76 | % 213.96/148.76 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 213.96/148.76 | (1953) all_110_1_81 = e % 213.96/148.76 | % 213.96/148.76 | From (1953) and (210) follows: % 213.96/148.76 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 213.96/148.76 | % 213.96/148.76 +-Applying beta-rule and splitting (1949), into two cases. % 213.96/148.76 |-Branch one: % 213.96/148.76 | (1955) all_378_0_442 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 213.96/148.76 | % 213.96/148.77 | Applying alpha-rule on (1955) yields: % 213.96/148.77 | (1956) all_378_0_442 = 0 % 213.96/148.77 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 213.96/148.77 | (593) all_165_2_96 = e % 213.96/148.77 | % 213.96/148.77 | From (593) and (288) follows: % 213.96/148.77 | (1959) mem(e, all_74_1_69) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 213.96/148.77 | (233) all_110_0_80 = 0 % 213.96/148.77 | % 213.96/148.77 | Equations (233) can reduce 209 to: % 213.96/148.77 | (175) $false % 213.96/148.77 | % 213.96/148.77 |-The branch is then unsatisfiable % 213.96/148.77 |-Branch two: % 213.96/148.77 | (1962) all_378_0_442 = 0 & mem(all_165_2_96, e) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (1962) yields: % 213.96/148.77 | (1956) all_378_0_442 = 0 % 213.96/148.77 | (599) mem(all_165_2_96, e) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 213.96/148.77 | (538) $false % 213.96/148.77 | % 213.96/148.77 |-The branch is then unsatisfiable % 213.96/148.77 |-Branch two: % 213.96/148.77 | (1966) all_370_0_430 = 0 & mem(all_110_1_81, e) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (1966) yields: % 213.96/148.77 | (1951) all_370_0_430 = 0 % 213.96/148.77 | (1968) mem(all_110_1_81, e) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 213.96/148.77 | (538) $false % 213.96/148.77 | % 213.96/148.77 |-The branch is then unsatisfiable % 213.96/148.77 |-Branch two: % 213.96/148.77 | (1729) all_300_0_384 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (1729) yields: % 213.96/148.77 | (1723) all_300_0_384 = 0 % 213.96/148.77 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 213.96/148.77 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 213.96/148.77 | % 213.96/148.77 | Instantiating (490) with all_343_0_449 yields: % 213.96/148.77 | (1974) (all_343_0_449 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_449 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 213.96/148.77 | % 213.96/148.77 +-Applying beta-rule and splitting (1680), into two cases. % 213.96/148.77 |-Branch one: % 213.96/148.77 | (1734) all_308_0_388 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (1734) yields: % 213.96/148.77 | (1735) all_308_0_388 = 0 % 213.96/148.77 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 213.96/148.77 | (495) all_165_2_96 = all_0_5_5 % 213.96/148.77 | % 213.96/148.77 | From (495) and (311) follows: % 213.96/148.77 | (737) mem(all_244_1_112, all_0_5_5) = all_244_0_111 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (8) with all_244_0_111, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_112 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_112, all_0_5_5) = all_244_0_111, yields: % 213.96/148.77 | (738) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 213.96/148.77 | % 213.96/148.77 +-Applying beta-rule and splitting (1716), into two cases. % 213.96/148.77 |-Branch one: % 213.96/148.77 | (1746) all_316_0_392 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (1746) yields: % 213.96/148.77 | (1747) all_316_0_392 = 0 % 213.96/148.77 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 213.96/148.77 | % 213.96/148.77 +-Applying beta-rule and splitting (738), into two cases. % 213.96/148.77 |-Branch one: % 213.96/148.77 | (557) all_244_0_111 = 0 % 213.96/148.77 | % 213.96/148.77 | Equations (557) can reduce 309 to: % 213.96/148.77 | (175) $false % 213.96/148.77 | % 213.96/148.77 |-The branch is then unsatisfiable % 213.96/148.77 |-Branch two: % 213.96/148.77 | (309) ~ (all_244_0_111 = 0) % 213.96/148.77 | (745) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 213.96/148.77 | (507) all_212_1_107 = all_0_5_5 % 213.96/148.77 | % 213.96/148.77 | From (507) and (310) follows: % 213.96/148.77 | (747) mem(all_244_1_112, all_0_5_5) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (65) with all_244_1_112, all_0_5_5, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_5_5) = all_244_0_111, mem(all_244_1_112, all_0_5_5) = 0, yields: % 213.96/148.77 | (557) all_244_0_111 = 0 % 213.96/148.77 | % 213.96/148.77 | Equations (557) can reduce 309 to: % 213.96/148.77 | (175) $false % 213.96/148.77 | % 213.96/148.77 |-The branch is then unsatisfiable % 213.96/148.77 |-Branch two: % 213.96/148.77 | (1753) all_316_0_392 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (1753) yields: % 213.96/148.77 | (1747) all_316_0_392 = 0 % 213.96/148.77 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 213.96/148.77 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 213.96/148.77 | % 213.96/148.77 | Instantiating (514) with all_373_0_458 yields: % 213.96/148.77 | (1996) (all_373_0_458 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_458 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 213.96/148.77 | % 213.96/148.77 +-Applying beta-rule and splitting (1851), into two cases. % 213.96/148.77 |-Branch one: % 213.96/148.77 | (1881) all_324_0_421 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (1881) yields: % 213.96/148.77 | (1882) all_324_0_421 = 0 % 213.96/148.77 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 213.96/148.77 | (1884) all_110_1_81 = all_0_6_6 % 213.96/148.77 | % 213.96/148.77 | From (1884) and (210) follows: % 213.96/148.77 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 213.96/148.77 | % 213.96/148.77 +-Applying beta-rule and splitting (1996), into two cases. % 213.96/148.77 |-Branch one: % 213.96/148.77 | (2002) all_373_0_458 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (2002) yields: % 213.96/148.77 | (2003) all_373_0_458 = 0 % 213.96/148.77 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.96/148.77 | (524) all_212_1_107 = all_0_6_6 % 213.96/148.77 | % 213.96/148.77 | From (524) and (301) follows: % 213.96/148.77 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 213.96/148.77 | (233) all_110_0_80 = 0 % 213.96/148.77 | % 213.96/148.77 | Equations (233) can reduce 209 to: % 213.96/148.77 | (175) $false % 213.96/148.77 | % 213.96/148.77 |-The branch is then unsatisfiable % 213.96/148.77 |-Branch two: % 213.96/148.77 | (2009) all_373_0_458 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (2009) yields: % 213.96/148.77 | (2003) all_373_0_458 = 0 % 213.96/148.77 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.96/148.77 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.96/148.77 | % 213.96/148.77 | Instantiating (531) with all_417_0_468 yields: % 213.96/148.77 | (2013) (all_417_0_468 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_468 = 0 & mem(all_212_1_107, e) = 0) % 213.96/148.77 | % 213.96/148.77 +-Applying beta-rule and splitting (2013), into two cases. % 213.96/148.77 |-Branch one: % 213.96/148.77 | (2014) all_417_0_468 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (2014) yields: % 213.96/148.77 | (2015) all_417_0_468 = 0 % 213.96/148.77 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.96/148.77 | (536) all_212_1_107 = e % 213.96/148.77 | % 213.96/148.77 | From (536) and (310) follows: % 213.96/148.77 | (537) mem(all_244_1_112, e) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.96/148.77 | (538) $false % 213.96/148.77 | % 213.96/148.77 |-The branch is then unsatisfiable % 213.96/148.77 |-Branch two: % 213.96/148.77 | (2020) all_417_0_468 = 0 & mem(all_212_1_107, e) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (2020) yields: % 213.96/148.77 | (2015) all_417_0_468 = 0 % 213.96/148.77 | (541) mem(all_212_1_107, e) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.96/148.77 | (538) $false % 213.96/148.77 | % 213.96/148.77 |-The branch is then unsatisfiable % 213.96/148.77 |-Branch two: % 213.96/148.77 | (1908) all_324_0_421 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (1908) yields: % 213.96/148.77 | (1882) all_324_0_421 = 0 % 213.96/148.77 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 213.96/148.77 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 213.96/148.77 | % 213.96/148.77 | Instantiating (1911) with all_392_0_473 yields: % 213.96/148.77 | (2028) (all_392_0_473 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_392_0_473 = 0 & mem(all_110_1_81, e) = 0) % 213.96/148.77 | % 213.96/148.77 +-Applying beta-rule and splitting (1974), into two cases. % 213.96/148.77 |-Branch one: % 213.96/148.77 | (2029) all_343_0_449 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (2029) yields: % 213.96/148.77 | (2030) all_343_0_449 = 0 % 213.96/148.77 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.96/148.77 | (519) all_181_1_101 = all_0_6_6 % 213.96/148.77 | % 213.96/148.77 | From (519) and (259) follows: % 213.96/148.77 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 213.96/148.77 | % 213.96/148.77 +-Applying beta-rule and splitting (1996), into two cases. % 213.96/148.77 |-Branch one: % 213.96/148.77 | (2002) all_373_0_458 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.77 | % 213.96/148.77 | Applying alpha-rule on (2002) yields: % 213.96/148.77 | (2003) all_373_0_458 = 0 % 213.96/148.77 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 213.96/148.77 | % 213.96/148.77 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 213.96/148.77 | (524) all_212_1_107 = all_0_6_6 % 213.96/148.77 | % 213.96/148.77 | From (524) and (281) follows: % 213.96/148.78 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 213.96/148.78 | (526) all_181_0_100 = 0 % 213.96/148.78 | % 213.96/148.78 | Equations (526) can reduce 258 to: % 213.96/148.78 | (175) $false % 213.96/148.78 | % 213.96/148.78 |-The branch is then unsatisfiable % 213.96/148.78 |-Branch two: % 213.96/148.78 | (2009) all_373_0_458 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2009) yields: % 213.96/148.78 | (2003) all_373_0_458 = 0 % 213.96/148.78 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 213.96/148.78 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 213.96/148.78 | % 213.96/148.78 | Instantiating (531) with all_417_0_476 yields: % 213.96/148.78 | (2045) (all_417_0_476 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_476 = 0 & mem(all_212_1_107, e) = 0) % 213.96/148.78 | % 213.96/148.78 +-Applying beta-rule and splitting (2045), into two cases. % 213.96/148.78 |-Branch one: % 213.96/148.78 | (2046) all_417_0_476 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2046) yields: % 213.96/148.78 | (2047) all_417_0_476 = 0 % 213.96/148.78 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 213.96/148.78 | (536) all_212_1_107 = e % 213.96/148.78 | % 213.96/148.78 | From (536) and (310) follows: % 213.96/148.78 | (537) mem(all_244_1_112, e) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 213.96/148.78 | (538) $false % 213.96/148.78 | % 213.96/148.78 |-The branch is then unsatisfiable % 213.96/148.78 |-Branch two: % 213.96/148.78 | (2052) all_417_0_476 = 0 & mem(all_212_1_107, e) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2052) yields: % 213.96/148.78 | (2047) all_417_0_476 = 0 % 213.96/148.78 | (541) mem(all_212_1_107, e) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 213.96/148.78 | (538) $false % 213.96/148.78 | % 213.96/148.78 |-The branch is then unsatisfiable % 213.96/148.78 |-Branch two: % 213.96/148.78 | (2056) all_343_0_449 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2056) yields: % 213.96/148.78 | (2030) all_343_0_449 = 0 % 213.96/148.78 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.96/148.78 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.96/148.78 | % 213.96/148.78 | Instantiating (546) with all_406_0_479 yields: % 213.96/148.78 | (2060) (all_406_0_479 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_406_0_479 = 0 & mem(all_181_1_101, e) = 0) % 213.96/148.78 | % 213.96/148.78 +-Applying beta-rule and splitting (2028), into two cases. % 213.96/148.78 |-Branch one: % 213.96/148.78 | (2061) all_392_0_473 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2061) yields: % 213.96/148.78 | (2062) all_392_0_473 = 0 % 213.96/148.78 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 213.96/148.78 | (1953) all_110_1_81 = e % 213.96/148.78 | % 213.96/148.78 | From (1953) and (210) follows: % 213.96/148.78 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 213.96/148.78 | % 213.96/148.78 +-Applying beta-rule and splitting (2060), into two cases. % 213.96/148.78 |-Branch one: % 213.96/148.78 | (2066) all_406_0_479 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2066) yields: % 213.96/148.78 | (2067) all_406_0_479 = 0 % 213.96/148.78 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 213.96/148.78 | (588) all_181_1_101 = e % 213.96/148.78 | % 213.96/148.78 | From (588) and (267) follows: % 213.96/148.78 | (1959) mem(e, all_74_1_69) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 213.96/148.78 | (233) all_110_0_80 = 0 % 213.96/148.78 | % 213.96/148.78 | Equations (233) can reduce 209 to: % 213.96/148.78 | (175) $false % 213.96/148.78 | % 213.96/148.78 |-The branch is then unsatisfiable % 213.96/148.78 |-Branch two: % 213.96/148.78 | (2073) all_406_0_479 = 0 & mem(all_181_1_101, e) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2073) yields: % 213.96/148.78 | (2067) all_406_0_479 = 0 % 213.96/148.78 | (603) mem(all_181_1_101, e) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 213.96/148.78 | (538) $false % 213.96/148.78 | % 213.96/148.78 |-The branch is then unsatisfiable % 213.96/148.78 |-Branch two: % 213.96/148.78 | (2077) all_392_0_473 = 0 & mem(all_110_1_81, e) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2077) yields: % 213.96/148.78 | (2062) all_392_0_473 = 0 % 213.96/148.78 | (1968) mem(all_110_1_81, e) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 213.96/148.78 | (538) $false % 213.96/148.78 | % 213.96/148.78 |-The branch is then unsatisfiable % 213.96/148.78 |-Branch two: % 213.96/148.78 | (1741) all_308_0_388 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (1741) yields: % 213.96/148.78 | (1735) all_308_0_388 = 0 % 213.96/148.78 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 213.96/148.78 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 213.96/148.78 | % 213.96/148.78 | Instantiating (502) with all_351_0_481 yields: % 213.96/148.78 | (2085) (all_351_0_481 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_481 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 213.96/148.78 | % 213.96/148.78 +-Applying beta-rule and splitting (1851), into two cases. % 213.96/148.78 |-Branch one: % 213.96/148.78 | (1881) all_324_0_421 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (1881) yields: % 213.96/148.78 | (1882) all_324_0_421 = 0 % 213.96/148.78 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 213.96/148.78 | (1884) all_110_1_81 = all_0_6_6 % 213.96/148.78 | % 213.96/148.78 | From (1884) and (210) follows: % 213.96/148.78 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 213.96/148.78 | % 213.96/148.78 +-Applying beta-rule and splitting (1974), into two cases. % 213.96/148.78 |-Branch one: % 213.96/148.78 | (2029) all_343_0_449 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2029) yields: % 213.96/148.78 | (2030) all_343_0_449 = 0 % 213.96/148.78 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 213.96/148.78 | (519) all_181_1_101 = all_0_6_6 % 213.96/148.78 | % 213.96/148.78 | From (519) and (267) follows: % 213.96/148.78 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 213.96/148.78 | (233) all_110_0_80 = 0 % 213.96/148.78 | % 213.96/148.78 | Equations (233) can reduce 209 to: % 213.96/148.78 | (175) $false % 213.96/148.78 | % 213.96/148.78 |-The branch is then unsatisfiable % 213.96/148.78 |-Branch two: % 213.96/148.78 | (2056) all_343_0_449 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2056) yields: % 213.96/148.78 | (2030) all_343_0_449 = 0 % 213.96/148.78 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 213.96/148.78 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 213.96/148.78 | % 213.96/148.78 | Instantiating (546) with all_389_0_486 yields: % 213.96/148.78 | (2102) (all_389_0_486 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_389_0_486 = 0 & mem(all_181_1_101, e) = 0) % 213.96/148.78 | % 213.96/148.78 +-Applying beta-rule and splitting (2085), into two cases. % 213.96/148.78 |-Branch one: % 213.96/148.78 | (2103) all_351_0_481 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 213.96/148.78 | % 213.96/148.78 | Applying alpha-rule on (2103) yields: % 213.96/148.78 | (2104) all_351_0_481 = 0 % 213.96/148.78 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 213.96/148.78 | (551) all_165_2_96 = all_0_6_6 % 213.96/148.78 | % 213.96/148.78 | From (551) and (288) follows: % 213.96/148.78 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 213.96/148.78 | % 213.96/148.78 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 213.96/148.78 | (233) all_110_0_80 = 0 % 213.96/148.78 | % 213.96/148.78 | Equations (233) can reduce 209 to: % 213.96/148.78 | (175) $false % 214.24/148.78 | % 214.24/148.78 |-The branch is then unsatisfiable % 214.24/148.78 |-Branch two: % 214.24/148.78 | (2110) all_351_0_481 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.78 | % 214.24/148.78 | Applying alpha-rule on (2110) yields: % 214.24/148.78 | (2104) all_351_0_481 = 0 % 214.24/148.78 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.78 | % 214.24/148.78 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.24/148.78 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.24/148.78 | % 214.24/148.78 | Instantiating (583) with all_397_0_487 yields: % 214.24/148.78 | (2114) (all_397_0_487 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_487 = 0 & mem(all_165_2_96, e) = 0) % 214.24/148.78 | % 214.24/148.78 +-Applying beta-rule and splitting (2102), into two cases. % 214.24/148.78 |-Branch one: % 214.24/148.78 | (2115) all_389_0_486 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.24/148.78 | % 214.24/148.78 | Applying alpha-rule on (2115) yields: % 214.24/148.78 | (2116) all_389_0_486 = 0 % 214.24/148.78 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.24/148.78 | % 214.24/148.78 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.24/148.78 | (588) all_181_1_101 = e % 214.24/148.78 | % 214.24/148.78 | From (588) and (259) follows: % 214.24/148.78 | (589) mem(e, all_129_1_85) = all_181_0_100 % 214.24/148.78 | % 214.24/148.78 +-Applying beta-rule and splitting (2114), into two cases. % 214.24/148.78 |-Branch one: % 214.24/148.78 | (2120) all_397_0_487 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2120) yields: % 214.24/148.79 | (2121) all_397_0_487 = 0 % 214.24/148.79 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.24/148.79 | (593) all_165_2_96 = e % 214.24/148.79 | % 214.24/148.79 | From (593) and (248) follows: % 214.24/148.79 | (594) mem(e, all_129_1_85) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 214.24/148.79 | (526) all_181_0_100 = 0 % 214.24/148.79 | % 214.24/148.79 | Equations (526) can reduce 258 to: % 214.24/148.79 | (175) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (2127) all_397_0_487 = 0 & mem(all_165_2_96, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2127) yields: % 214.24/148.79 | (2121) all_397_0_487 = 0 % 214.24/148.79 | (599) mem(all_165_2_96, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.24/148.79 | (538) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (2131) all_389_0_486 = 0 & mem(all_181_1_101, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2131) yields: % 214.24/148.79 | (2116) all_389_0_486 = 0 % 214.24/148.79 | (603) mem(all_181_1_101, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.24/148.79 | (538) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (1908) all_324_0_421 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (1908) yields: % 214.24/148.79 | (1882) all_324_0_421 = 0 % 214.24/148.79 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.24/148.79 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.24/148.79 | % 214.24/148.79 | Instantiating (1911) with all_377_0_490 yields: % 214.24/148.79 | (2139) (all_377_0_490 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_377_0_490 = 0 & mem(all_110_1_81, e) = 0) % 214.24/148.79 | % 214.24/148.79 +-Applying beta-rule and splitting (1974), into two cases. % 214.24/148.79 |-Branch one: % 214.24/148.79 | (2029) all_343_0_449 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2029) yields: % 214.24/148.79 | (2030) all_343_0_449 = 0 % 214.24/148.79 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.24/148.79 | (519) all_181_1_101 = all_0_6_6 % 214.24/148.79 | % 214.24/148.79 | From (519) and (259) follows: % 214.24/148.79 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 214.24/148.79 | % 214.24/148.79 +-Applying beta-rule and splitting (2085), into two cases. % 214.24/148.79 |-Branch one: % 214.24/148.79 | (2103) all_351_0_481 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2103) yields: % 214.24/148.79 | (2104) all_351_0_481 = 0 % 214.24/148.79 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.24/148.79 | (551) all_165_2_96 = all_0_6_6 % 214.24/148.79 | % 214.24/148.79 | From (551) and (248) follows: % 214.24/148.79 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 214.24/148.79 | (526) all_181_0_100 = 0 % 214.24/148.79 | % 214.24/148.79 | Equations (526) can reduce 258 to: % 214.24/148.79 | (175) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (2110) all_351_0_481 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2110) yields: % 214.24/148.79 | (2104) all_351_0_481 = 0 % 214.24/148.79 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.24/148.79 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.24/148.79 | % 214.24/148.79 | Instantiating (583) with all_397_0_492 yields: % 214.24/148.79 | (2156) (all_397_0_492 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_492 = 0 & mem(all_165_2_96, e) = 0) % 214.24/148.79 | % 214.24/148.79 +-Applying beta-rule and splitting (2139), into two cases. % 214.24/148.79 |-Branch one: % 214.24/148.79 | (2157) all_377_0_490 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2157) yields: % 214.24/148.79 | (2158) all_377_0_490 = 0 % 214.24/148.79 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.24/148.79 | (1953) all_110_1_81 = e % 214.24/148.79 | % 214.24/148.79 | From (1953) and (210) follows: % 214.24/148.79 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.24/148.79 | % 214.24/148.79 +-Applying beta-rule and splitting (2156), into two cases. % 214.24/148.79 |-Branch one: % 214.24/148.79 | (2162) all_397_0_492 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2162) yields: % 214.24/148.79 | (2163) all_397_0_492 = 0 % 214.24/148.79 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.24/148.79 | (593) all_165_2_96 = e % 214.24/148.79 | % 214.24/148.79 | From (593) and (288) follows: % 214.24/148.79 | (1959) mem(e, all_74_1_69) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.24/148.79 | (233) all_110_0_80 = 0 % 214.24/148.79 | % 214.24/148.79 | Equations (233) can reduce 209 to: % 214.24/148.79 | (175) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (2169) all_397_0_492 = 0 & mem(all_165_2_96, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2169) yields: % 214.24/148.79 | (2163) all_397_0_492 = 0 % 214.24/148.79 | (599) mem(all_165_2_96, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.24/148.79 | (538) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (2173) all_377_0_490 = 0 & mem(all_110_1_81, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2173) yields: % 214.24/148.79 | (2158) all_377_0_490 = 0 % 214.24/148.79 | (1968) mem(all_110_1_81, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.24/148.79 | (538) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (2056) all_343_0_449 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2056) yields: % 214.24/148.79 | (2030) all_343_0_449 = 0 % 214.24/148.79 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.24/148.79 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.24/148.79 | % 214.24/148.79 | Instantiating (546) with all_386_0_493 yields: % 214.24/148.79 | (2181) (all_386_0_493 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_386_0_493 = 0 & mem(all_181_1_101, e) = 0) % 214.24/148.79 | % 214.24/148.79 +-Applying beta-rule and splitting (2139), into two cases. % 214.24/148.79 |-Branch one: % 214.24/148.79 | (2157) all_377_0_490 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2157) yields: % 214.24/148.79 | (2158) all_377_0_490 = 0 % 214.24/148.79 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.24/148.79 | (1953) all_110_1_81 = e % 214.24/148.79 | % 214.24/148.79 | From (1953) and (210) follows: % 214.24/148.79 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.24/148.79 | % 214.24/148.79 +-Applying beta-rule and splitting (2181), into two cases. % 214.24/148.79 |-Branch one: % 214.24/148.79 | (2187) all_386_0_493 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2187) yields: % 214.24/148.79 | (2188) all_386_0_493 = 0 % 214.24/148.79 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.24/148.79 | (588) all_181_1_101 = e % 214.24/148.79 | % 214.24/148.79 | From (588) and (267) follows: % 214.24/148.79 | (1959) mem(e, all_74_1_69) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.24/148.79 | (233) all_110_0_80 = 0 % 214.24/148.79 | % 214.24/148.79 | Equations (233) can reduce 209 to: % 214.24/148.79 | (175) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (2194) all_386_0_493 = 0 & mem(all_181_1_101, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2194) yields: % 214.24/148.79 | (2188) all_386_0_493 = 0 % 214.24/148.79 | (603) mem(all_181_1_101, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.24/148.79 | (538) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.79 |-Branch two: % 214.24/148.79 | (2173) all_377_0_490 = 0 & mem(all_110_1_81, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Applying alpha-rule on (2173) yields: % 214.24/148.79 | (2158) all_377_0_490 = 0 % 214.24/148.79 | (1968) mem(all_110_1_81, e) = 0 % 214.24/148.79 | % 214.24/148.79 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.24/148.79 | (538) $false % 214.24/148.79 | % 214.24/148.79 |-The branch is then unsatisfiable % 214.24/148.80 |-Branch two: % 214.24/148.80 | (362) all_227_0_109 = 0 & mem(all_135_1_87, all_0_4_4) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (362) yields: % 214.24/148.80 | (332) all_227_0_109 = 0 % 214.24/148.80 | (364) mem(all_135_1_87, all_0_4_4) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_135_1_87, all_0_4_4) = 0, yields: % 214.24/148.80 | (365) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_5_5) = 0)) % 214.24/148.80 | % 214.24/148.80 | Instantiating (365) with all_292_0_507 yields: % 214.24/148.80 | (2206) (all_292_0_507 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (all_292_0_507 = 0 & mem(all_135_1_87, all_0_5_5) = 0) % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (315), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (367) all_252_0_113 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (367) yields: % 214.24/148.80 | (368) all_252_0_113 = 0 % 214.24/148.80 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 214.24/148.80 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 214.24/148.80 | % 214.24/148.80 | Instantiating (370) with all_300_0_508 yields: % 214.24/148.80 | (2211) (all_300_0_508 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_508 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (318), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (403) all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (403) yields: % 214.24/148.80 | (404) all_259_0_114 = 0 % 214.24/148.80 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 214.24/148.80 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 214.24/148.80 | % 214.24/148.80 | Instantiating (406) with all_308_0_509 yields: % 214.24/148.80 | (2216) (all_308_0_509 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_509 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (2211), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (2217) all_300_0_508 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2217) yields: % 214.24/148.80 | (2218) all_300_0_508 = 0 % 214.24/148.80 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 214.24/148.80 | (387) all_181_1_101 = all_0_2_2 % 214.24/148.80 | % 214.24/148.80 | From (387) and (287) follows: % 214.24/148.80 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 214.24/148.80 | (212) all_85_0_72 = 0 % 214.24/148.80 | % 214.24/148.80 | Equations (212) can reduce 183 to: % 214.24/148.80 | (175) $false % 214.24/148.80 | % 214.24/148.80 |-The branch is then unsatisfiable % 214.24/148.80 |-Branch two: % 214.24/148.80 | (2224) all_300_0_508 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2224) yields: % 214.24/148.80 | (2218) all_300_0_508 = 0 % 214.24/148.80 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 214.24/148.80 | (394) all_181_1_101 = all_0_3_3 % 214.24/148.80 | % 214.24/148.80 | From (394) and (259) follows: % 214.24/148.80 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (2216), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (2229) all_308_0_509 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2229) yields: % 214.24/148.80 | (2230) all_308_0_509 = 0 % 214.24/148.80 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 214.24/148.80 | (423) all_165_2_96 = all_0_2_2 % 214.24/148.80 | % 214.24/148.80 | From (423) and (303) follows: % 214.24/148.80 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 214.24/148.80 | (212) all_85_0_72 = 0 % 214.24/148.80 | % 214.24/148.80 | Equations (212) can reduce 183 to: % 214.24/148.80 | (175) $false % 214.24/148.80 | % 214.24/148.80 |-The branch is then unsatisfiable % 214.24/148.80 |-Branch two: % 214.24/148.80 | (2236) all_308_0_509 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2236) yields: % 214.24/148.80 | (2230) all_308_0_509 = 0 % 214.24/148.80 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 214.24/148.80 | (430) all_165_2_96 = all_0_3_3 % 214.24/148.80 | % 214.24/148.80 | From (430) and (248) follows: % 214.24/148.80 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 214.24/148.80 | (526) all_181_0_100 = 0 % 214.24/148.80 | % 214.24/148.80 | Equations (526) can reduce 258 to: % 214.24/148.80 | (175) $false % 214.24/148.80 | % 214.24/148.80 |-The branch is then unsatisfiable % 214.24/148.80 |-Branch two: % 214.24/148.80 | (434) all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (434) yields: % 214.24/148.80 | (404) all_259_0_114 = 0 % 214.24/148.80 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 214.24/148.80 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 214.24/148.80 | % 214.24/148.80 | Instantiating (437) with all_308_0_512 yields: % 214.24/148.80 | (2247) (all_308_0_512 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_512 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (320), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (439) all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (439) yields: % 214.24/148.80 | (440) all_265_0_115 = 0 % 214.24/148.80 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 214.24/148.80 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 214.24/148.80 | % 214.24/148.80 | Instantiating (442) with all_316_0_513 yields: % 214.24/148.80 | (2252) (all_316_0_513 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_513 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (2211), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (2217) all_300_0_508 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2217) yields: % 214.24/148.80 | (2218) all_300_0_508 = 0 % 214.24/148.80 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 214.24/148.80 | (387) all_181_1_101 = all_0_2_2 % 214.24/148.80 | % 214.24/148.80 | From (387) and (287) follows: % 214.24/148.80 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 214.24/148.80 | (212) all_85_0_72 = 0 % 214.24/148.80 | % 214.24/148.80 | Equations (212) can reduce 183 to: % 214.24/148.80 | (175) $false % 214.24/148.80 | % 214.24/148.80 |-The branch is then unsatisfiable % 214.24/148.80 |-Branch two: % 214.24/148.80 | (2224) all_300_0_508 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2224) yields: % 214.24/148.80 | (2218) all_300_0_508 = 0 % 214.24/148.80 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 214.24/148.80 | (394) all_181_1_101 = all_0_3_3 % 214.24/148.80 | % 214.24/148.80 | From (394) and (259) follows: % 214.24/148.80 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (2252), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (2265) all_316_0_513 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2265) yields: % 214.24/148.80 | (2266) all_316_0_513 = 0 % 214.24/148.80 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 214.24/148.80 | (459) all_212_1_107 = all_0_2_2 % 214.24/148.80 | % 214.24/148.80 | From (459) and (312) follows: % 214.24/148.80 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 214.24/148.80 | (212) all_85_0_72 = 0 % 214.24/148.80 | % 214.24/148.80 | Equations (212) can reduce 183 to: % 214.24/148.80 | (175) $false % 214.24/148.80 | % 214.24/148.80 |-The branch is then unsatisfiable % 214.24/148.80 |-Branch two: % 214.24/148.80 | (2272) all_316_0_513 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2272) yields: % 214.24/148.80 | (2266) all_316_0_513 = 0 % 214.24/148.80 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 214.24/148.80 | (466) all_212_1_107 = all_0_3_3 % 214.24/148.80 | % 214.24/148.80 | From (466) and (281) follows: % 214.24/148.80 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 214.24/148.80 | (526) all_181_0_100 = 0 % 214.24/148.80 | % 214.24/148.80 | Equations (526) can reduce 258 to: % 214.24/148.80 | (175) $false % 214.24/148.80 | % 214.24/148.80 |-The branch is then unsatisfiable % 214.24/148.80 |-Branch two: % 214.24/148.80 | (470) all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (470) yields: % 214.24/148.80 | (440) all_265_0_115 = 0 % 214.24/148.80 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 214.24/148.80 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 214.24/148.80 | % 214.24/148.80 | Instantiating (473) with all_316_0_516 yields: % 214.24/148.80 | (2283) (all_316_0_516 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_516 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (1598), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (1717) all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (1717) yields: % 214.24/148.80 | (1718) all_273_0_379 = 0 % 214.24/148.80 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 214.24/148.80 | % 214.24/148.80 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 214.24/148.80 | (1720) all_110_1_81 = all_0_5_5 % 214.24/148.80 | % 214.24/148.80 | From (1720) and (210) follows: % 214.24/148.80 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 214.24/148.80 | % 214.24/148.80 +-Applying beta-rule and splitting (2206), into two cases. % 214.24/148.80 |-Branch one: % 214.24/148.80 | (2289) all_292_0_507 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 214.24/148.80 | % 214.24/148.80 | Applying alpha-rule on (2289) yields: % 214.24/148.81 | (2290) all_292_0_507 = 0 % 214.24/148.81 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 214.24/148.81 | (478) all_135_1_87 = all_0_5_5 % 214.24/148.81 | % 214.24/148.81 | From (478) and (232) follows: % 214.24/148.81 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.24/148.81 | (233) all_110_0_80 = 0 % 214.24/148.81 | % 214.24/148.81 | Equations (233) can reduce 209 to: % 214.24/148.81 | (175) $false % 214.24/148.81 | % 214.24/148.81 |-The branch is then unsatisfiable % 214.24/148.81 |-Branch two: % 214.24/148.81 | (2296) all_292_0_507 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2296) yields: % 214.24/148.81 | (2290) all_292_0_507 = 0 % 214.24/148.81 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 214.24/148.81 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 214.24/148.81 | % 214.24/148.81 | Instantiating (608) with all_335_0_517 yields: % 214.24/148.81 | (2300) (all_335_0_517 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_517 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 214.24/148.81 | % 214.24/148.81 +-Applying beta-rule and splitting (2247), into two cases. % 214.24/148.81 |-Branch one: % 214.24/148.81 | (2301) all_308_0_512 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2301) yields: % 214.24/148.81 | (2302) all_308_0_512 = 0 % 214.24/148.81 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.24/148.81 | (495) all_165_2_96 = all_0_5_5 % 214.24/148.81 | % 214.24/148.81 | From (495) and (288) follows: % 214.24/148.81 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.24/148.81 | (233) all_110_0_80 = 0 % 214.24/148.81 | % 214.24/148.81 | Equations (233) can reduce 209 to: % 214.24/148.81 | (175) $false % 214.24/148.81 | % 214.24/148.81 |-The branch is then unsatisfiable % 214.24/148.81 |-Branch two: % 214.24/148.81 | (2308) all_308_0_512 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2308) yields: % 214.24/148.81 | (2302) all_308_0_512 = 0 % 214.24/148.81 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 214.24/148.81 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 214.24/148.81 | % 214.24/148.81 | Instantiating (502) with all_354_0_518 yields: % 214.24/148.81 | (2312) (all_354_0_518 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_518 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 214.24/148.81 | % 214.24/148.81 +-Applying beta-rule and splitting (2283), into two cases. % 214.24/148.81 |-Branch one: % 214.24/148.81 | (2313) all_316_0_516 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2313) yields: % 214.24/148.81 | (2314) all_316_0_516 = 0 % 214.24/148.81 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.24/148.81 | (507) all_212_1_107 = all_0_5_5 % 214.24/148.81 | % 214.24/148.81 | From (507) and (301) follows: % 214.24/148.81 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.24/148.81 | (233) all_110_0_80 = 0 % 214.24/148.81 | % 214.24/148.81 | Equations (233) can reduce 209 to: % 214.24/148.81 | (175) $false % 214.24/148.81 | % 214.24/148.81 |-The branch is then unsatisfiable % 214.24/148.81 |-Branch two: % 214.24/148.81 | (2320) all_316_0_516 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2320) yields: % 214.24/148.81 | (2314) all_316_0_516 = 0 % 214.24/148.81 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.24/148.81 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.24/148.81 | % 214.24/148.81 | Instantiating (514) with all_362_0_519 yields: % 214.24/148.81 | (2324) (all_362_0_519 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_519 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.24/148.81 | % 214.24/148.81 +-Applying beta-rule and splitting (2300), into two cases. % 214.24/148.81 |-Branch one: % 214.24/148.81 | (2325) all_335_0_517 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2325) yields: % 214.24/148.81 | (2326) all_335_0_517 = 0 % 214.24/148.81 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.24/148.81 | (642) all_135_1_87 = all_0_6_6 % 214.24/148.81 | % 214.24/148.81 | From (642) and (231) follows: % 214.24/148.81 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.24/148.81 | % 214.24/148.81 +-Applying beta-rule and splitting (2324), into two cases. % 214.24/148.81 |-Branch one: % 214.24/148.81 | (2330) all_362_0_519 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2330) yields: % 214.24/148.81 | (2331) all_362_0_519 = 0 % 214.24/148.81 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.24/148.81 | (524) all_212_1_107 = all_0_6_6 % 214.24/148.81 | % 214.24/148.81 | From (524) and (286) follows: % 214.24/148.81 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.24/148.81 | (261) all_135_0_86 = 0 % 214.24/148.81 | % 214.24/148.81 | Equations (261) can reduce 230 to: % 214.24/148.81 | (175) $false % 214.24/148.81 | % 214.24/148.81 |-The branch is then unsatisfiable % 214.24/148.81 |-Branch two: % 214.24/148.81 | (2337) all_362_0_519 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2337) yields: % 214.24/148.81 | (2331) all_362_0_519 = 0 % 214.24/148.81 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.24/148.81 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.24/148.81 | % 214.24/148.81 | Instantiating (531) with all_389_0_521 yields: % 214.24/148.81 | (2341) (all_389_0_521 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_521 = 0 & mem(all_212_1_107, e) = 0) % 214.24/148.81 | % 214.24/148.81 +-Applying beta-rule and splitting (2341), into two cases. % 214.24/148.81 |-Branch one: % 214.24/148.81 | (2342) all_389_0_521 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2342) yields: % 214.24/148.81 | (2343) all_389_0_521 = 0 % 214.24/148.81 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.24/148.81 | (536) all_212_1_107 = e % 214.24/148.81 | % 214.24/148.81 | From (536) and (310) follows: % 214.24/148.81 | (537) mem(all_244_1_112, e) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.24/148.81 | (538) $false % 214.24/148.81 | % 214.24/148.81 |-The branch is then unsatisfiable % 214.24/148.81 |-Branch two: % 214.24/148.81 | (2348) all_389_0_521 = 0 & mem(all_212_1_107, e) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2348) yields: % 214.24/148.81 | (2343) all_389_0_521 = 0 % 214.24/148.81 | (541) mem(all_212_1_107, e) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.24/148.81 | (538) $false % 214.24/148.81 | % 214.24/148.81 |-The branch is then unsatisfiable % 214.24/148.81 |-Branch two: % 214.24/148.81 | (2352) all_335_0_517 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2352) yields: % 214.24/148.81 | (2326) all_335_0_517 = 0 % 214.24/148.81 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.24/148.81 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.24/148.81 | % 214.24/148.81 | Instantiating (669) with all_370_0_526 yields: % 214.24/148.81 | (2356) (all_370_0_526 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_370_0_526 = 0 & mem(all_135_1_87, e) = 0) % 214.24/148.81 | % 214.24/148.81 +-Applying beta-rule and splitting (2312), into two cases. % 214.24/148.81 |-Branch one: % 214.24/148.81 | (2357) all_354_0_518 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2357) yields: % 214.24/148.81 | (2358) all_354_0_518 = 0 % 214.24/148.81 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.24/148.81 | (551) all_165_2_96 = all_0_6_6 % 214.24/148.81 | % 214.24/148.81 | From (551) and (311) follows: % 214.24/148.81 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 214.24/148.81 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 214.24/148.81 | % 214.24/148.81 +-Applying beta-rule and splitting (2324), into two cases. % 214.24/148.81 |-Branch one: % 214.24/148.81 | (2330) all_362_0_519 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2330) yields: % 214.24/148.81 | (2331) all_362_0_519 = 0 % 214.24/148.81 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.81 | % 214.24/148.81 +-Applying beta-rule and splitting (553), into two cases. % 214.24/148.81 |-Branch one: % 214.24/148.81 | (557) all_244_0_111 = 0 % 214.24/148.81 | % 214.24/148.81 | Equations (557) can reduce 309 to: % 214.24/148.81 | (175) $false % 214.24/148.81 | % 214.24/148.81 |-The branch is then unsatisfiable % 214.24/148.81 |-Branch two: % 214.24/148.81 | (309) ~ (all_244_0_111 = 0) % 214.24/148.81 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.24/148.81 | (524) all_212_1_107 = all_0_6_6 % 214.24/148.81 | % 214.24/148.81 | From (524) and (310) follows: % 214.24/148.81 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 214.24/148.81 | (557) all_244_0_111 = 0 % 214.24/148.81 | % 214.24/148.81 | Equations (557) can reduce 309 to: % 214.24/148.81 | (175) $false % 214.24/148.81 | % 214.24/148.81 |-The branch is then unsatisfiable % 214.24/148.81 |-Branch two: % 214.24/148.81 | (2337) all_362_0_519 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.81 | % 214.24/148.81 | Applying alpha-rule on (2337) yields: % 214.24/148.81 | (2331) all_362_0_519 = 0 % 214.24/148.81 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.81 | % 214.24/148.81 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.24/148.81 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.24/148.81 | % 214.24/148.81 | Instantiating (531) with all_400_0_535 yields: % 214.24/148.81 | (2378) (all_400_0_535 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_535 = 0 & mem(all_212_1_107, e) = 0) % 214.24/148.82 | % 214.24/148.82 +-Applying beta-rule and splitting (2378), into two cases. % 214.24/148.82 |-Branch one: % 214.24/148.82 | (2379) all_400_0_535 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2379) yields: % 214.24/148.82 | (2380) all_400_0_535 = 0 % 214.24/148.82 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.24/148.82 | (536) all_212_1_107 = e % 214.24/148.82 | % 214.24/148.82 | From (536) and (310) follows: % 214.24/148.82 | (537) mem(all_244_1_112, e) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.24/148.82 | (538) $false % 214.24/148.82 | % 214.24/148.82 |-The branch is then unsatisfiable % 214.24/148.82 |-Branch two: % 214.24/148.82 | (2385) all_400_0_535 = 0 & mem(all_212_1_107, e) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2385) yields: % 214.24/148.82 | (2380) all_400_0_535 = 0 % 214.24/148.82 | (541) mem(all_212_1_107, e) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.24/148.82 | (538) $false % 214.24/148.82 | % 214.24/148.82 |-The branch is then unsatisfiable % 214.24/148.82 |-Branch two: % 214.24/148.82 | (2389) all_354_0_518 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2389) yields: % 214.24/148.82 | (2358) all_354_0_518 = 0 % 214.24/148.82 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.24/148.82 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.24/148.82 | % 214.24/148.82 | Instantiating (583) with all_378_0_538 yields: % 214.24/148.82 | (2393) (all_378_0_538 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_538 = 0 & mem(all_165_2_96, e) = 0) % 214.24/148.82 | % 214.24/148.82 +-Applying beta-rule and splitting (2356), into two cases. % 214.24/148.82 |-Branch one: % 214.24/148.82 | (2394) all_370_0_526 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2394) yields: % 214.24/148.82 | (2395) all_370_0_526 = 0 % 214.24/148.82 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.24/148.82 | (711) all_135_1_87 = e % 214.24/148.82 | % 214.24/148.82 | From (711) and (231) follows: % 214.24/148.82 | (712) mem(e, all_99_1_77) = all_135_0_86 % 214.24/148.82 | % 214.24/148.82 +-Applying beta-rule and splitting (2393), into two cases. % 214.24/148.82 |-Branch one: % 214.24/148.82 | (2399) all_378_0_538 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2399) yields: % 214.24/148.82 | (2400) all_378_0_538 = 0 % 214.24/148.82 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.24/148.82 | (593) all_165_2_96 = e % 214.24/148.82 | % 214.24/148.82 | From (593) and (268) follows: % 214.24/148.82 | (717) mem(e, all_99_1_77) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 214.24/148.82 | (261) all_135_0_86 = 0 % 214.24/148.82 | % 214.24/148.82 | Equations (261) can reduce 230 to: % 214.24/148.82 | (175) $false % 214.24/148.82 | % 214.24/148.82 |-The branch is then unsatisfiable % 214.24/148.82 |-Branch two: % 214.24/148.82 | (2406) all_378_0_538 = 0 & mem(all_165_2_96, e) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2406) yields: % 214.24/148.82 | (2400) all_378_0_538 = 0 % 214.24/148.82 | (599) mem(all_165_2_96, e) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.24/148.82 | (538) $false % 214.24/148.82 | % 214.24/148.82 |-The branch is then unsatisfiable % 214.24/148.82 |-Branch two: % 214.24/148.82 | (2410) all_370_0_526 = 0 & mem(all_135_1_87, e) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2410) yields: % 214.24/148.82 | (2395) all_370_0_526 = 0 % 214.24/148.82 | (726) mem(all_135_1_87, e) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.24/148.82 | (538) $false % 214.24/148.82 | % 214.24/148.82 |-The branch is then unsatisfiable % 214.24/148.82 |-Branch two: % 214.24/148.82 | (1847) all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (1847) yields: % 214.24/148.82 | (1718) all_273_0_379 = 0 % 214.24/148.82 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 214.24/148.82 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 214.24/148.82 | % 214.24/148.82 | Instantiating (1850) with all_324_0_545 yields: % 214.24/148.82 | (2418) (all_324_0_545 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_545 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 214.24/148.82 | % 214.24/148.82 +-Applying beta-rule and splitting (2206), into two cases. % 214.24/148.82 |-Branch one: % 214.24/148.82 | (2289) all_292_0_507 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2289) yields: % 214.24/148.82 | (2290) all_292_0_507 = 0 % 214.24/148.82 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 214.24/148.82 | (478) all_135_1_87 = all_0_5_5 % 214.24/148.82 | % 214.24/148.82 | From (478) and (231) follows: % 214.24/148.82 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 214.24/148.82 | % 214.24/148.82 +-Applying beta-rule and splitting (2247), into two cases. % 214.24/148.82 |-Branch one: % 214.24/148.82 | (2301) all_308_0_512 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2301) yields: % 214.24/148.82 | (2302) all_308_0_512 = 0 % 214.24/148.82 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.24/148.82 | (495) all_165_2_96 = all_0_5_5 % 214.24/148.82 | % 214.24/148.82 | From (495) and (268) follows: % 214.24/148.82 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 214.24/148.82 | (261) all_135_0_86 = 0 % 214.24/148.82 | % 214.24/148.82 | Equations (261) can reduce 230 to: % 214.24/148.82 | (175) $false % 214.24/148.82 | % 214.24/148.82 |-The branch is then unsatisfiable % 214.24/148.82 |-Branch two: % 214.24/148.82 | (2308) all_308_0_512 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2308) yields: % 214.24/148.82 | (2302) all_308_0_512 = 0 % 214.24/148.82 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 214.24/148.82 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 214.24/148.82 | % 214.24/148.82 | Instantiating (502) with all_354_0_546 yields: % 214.24/148.82 | (2435) (all_354_0_546 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_546 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 214.24/148.82 | % 214.24/148.82 +-Applying beta-rule and splitting (2283), into two cases. % 214.24/148.82 |-Branch one: % 214.24/148.82 | (2313) all_316_0_516 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2313) yields: % 214.24/148.82 | (2314) all_316_0_516 = 0 % 214.24/148.82 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.24/148.82 | (507) all_212_1_107 = all_0_5_5 % 214.24/148.82 | % 214.24/148.82 | From (507) and (286) follows: % 214.24/148.82 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 214.24/148.82 | (261) all_135_0_86 = 0 % 214.24/148.82 | % 214.24/148.82 | Equations (261) can reduce 230 to: % 214.24/148.82 | (175) $false % 214.24/148.82 | % 214.24/148.82 |-The branch is then unsatisfiable % 214.24/148.82 |-Branch two: % 214.24/148.82 | (2320) all_316_0_516 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2320) yields: % 214.24/148.82 | (2314) all_316_0_516 = 0 % 214.24/148.82 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.24/148.82 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.24/148.82 | % 214.24/148.82 | Instantiating (514) with all_362_0_547 yields: % 214.24/148.82 | (2447) (all_362_0_547 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_547 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.24/148.82 | % 214.24/148.82 +-Applying beta-rule and splitting (2418), into two cases. % 214.24/148.82 |-Branch one: % 214.24/148.82 | (2448) all_324_0_545 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2448) yields: % 214.24/148.82 | (2449) all_324_0_545 = 0 % 214.24/148.82 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.24/148.82 | (1884) all_110_1_81 = all_0_6_6 % 214.24/148.82 | % 214.24/148.82 | From (1884) and (210) follows: % 214.24/148.82 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.24/148.82 | % 214.24/148.82 +-Applying beta-rule and splitting (2447), into two cases. % 214.24/148.82 |-Branch one: % 214.24/148.82 | (2453) all_362_0_547 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2453) yields: % 214.24/148.82 | (2454) all_362_0_547 = 0 % 214.24/148.82 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.24/148.82 | (524) all_212_1_107 = all_0_6_6 % 214.24/148.82 | % 214.24/148.82 | From (524) and (301) follows: % 214.24/148.82 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.24/148.82 | (233) all_110_0_80 = 0 % 214.24/148.82 | % 214.24/148.82 | Equations (233) can reduce 209 to: % 214.24/148.82 | (175) $false % 214.24/148.82 | % 214.24/148.82 |-The branch is then unsatisfiable % 214.24/148.82 |-Branch two: % 214.24/148.82 | (2460) all_362_0_547 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.82 | % 214.24/148.82 | Applying alpha-rule on (2460) yields: % 214.24/148.82 | (2454) all_362_0_547 = 0 % 214.24/148.82 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.82 | % 214.24/148.82 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.24/148.83 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.24/148.83 | % 214.24/148.83 | Instantiating (531) with all_389_0_549 yields: % 214.24/148.83 | (2464) (all_389_0_549 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_549 = 0 & mem(all_212_1_107, e) = 0) % 214.24/148.83 | % 214.24/148.83 +-Applying beta-rule and splitting (2464), into two cases. % 214.24/148.83 |-Branch one: % 214.24/148.83 | (2465) all_389_0_549 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2465) yields: % 214.24/148.83 | (2466) all_389_0_549 = 0 % 214.24/148.83 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.24/148.83 | (536) all_212_1_107 = e % 214.24/148.83 | % 214.24/148.83 | From (536) and (310) follows: % 214.24/148.83 | (537) mem(all_244_1_112, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.24/148.83 | (538) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (2471) all_389_0_549 = 0 & mem(all_212_1_107, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2471) yields: % 214.24/148.83 | (2466) all_389_0_549 = 0 % 214.24/148.83 | (541) mem(all_212_1_107, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.24/148.83 | (538) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (2475) all_324_0_545 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2475) yields: % 214.24/148.83 | (2449) all_324_0_545 = 0 % 214.24/148.83 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.24/148.83 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.24/148.83 | % 214.24/148.83 | Instantiating (1911) with all_370_0_554 yields: % 214.24/148.83 | (2479) (all_370_0_554 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_370_0_554 = 0 & mem(all_110_1_81, e) = 0) % 214.24/148.83 | % 214.24/148.83 +-Applying beta-rule and splitting (2435), into two cases. % 214.24/148.83 |-Branch one: % 214.24/148.83 | (2480) all_354_0_546 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2480) yields: % 214.24/148.83 | (2481) all_354_0_546 = 0 % 214.24/148.83 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.24/148.83 | (551) all_165_2_96 = all_0_6_6 % 214.24/148.83 | % 214.24/148.83 | From (551) and (311) follows: % 214.24/148.83 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 214.24/148.83 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 214.24/148.83 | % 214.24/148.83 +-Applying beta-rule and splitting (2447), into two cases. % 214.24/148.83 |-Branch one: % 214.24/148.83 | (2453) all_362_0_547 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2453) yields: % 214.24/148.83 | (2454) all_362_0_547 = 0 % 214.24/148.83 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.83 | % 214.24/148.83 +-Applying beta-rule and splitting (553), into two cases. % 214.24/148.83 |-Branch one: % 214.24/148.83 | (557) all_244_0_111 = 0 % 214.24/148.83 | % 214.24/148.83 | Equations (557) can reduce 309 to: % 214.24/148.83 | (175) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (309) ~ (all_244_0_111 = 0) % 214.24/148.83 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.24/148.83 | (524) all_212_1_107 = all_0_6_6 % 214.24/148.83 | % 214.24/148.83 | From (524) and (310) follows: % 214.24/148.83 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 214.24/148.83 | (557) all_244_0_111 = 0 % 214.24/148.83 | % 214.24/148.83 | Equations (557) can reduce 309 to: % 214.24/148.83 | (175) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (2460) all_362_0_547 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2460) yields: % 214.24/148.83 | (2454) all_362_0_547 = 0 % 214.24/148.83 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.24/148.83 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.24/148.83 | % 214.24/148.83 | Instantiating (531) with all_400_0_563 yields: % 214.24/148.83 | (2501) (all_400_0_563 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_563 = 0 & mem(all_212_1_107, e) = 0) % 214.24/148.83 | % 214.24/148.83 +-Applying beta-rule and splitting (2501), into two cases. % 214.24/148.83 |-Branch one: % 214.24/148.83 | (2502) all_400_0_563 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2502) yields: % 214.24/148.83 | (2503) all_400_0_563 = 0 % 214.24/148.83 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.24/148.83 | (536) all_212_1_107 = e % 214.24/148.83 | % 214.24/148.83 | From (536) and (310) follows: % 214.24/148.83 | (537) mem(all_244_1_112, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.24/148.83 | (538) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (2508) all_400_0_563 = 0 & mem(all_212_1_107, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2508) yields: % 214.24/148.83 | (2503) all_400_0_563 = 0 % 214.24/148.83 | (541) mem(all_212_1_107, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.24/148.83 | (538) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (2512) all_354_0_546 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2512) yields: % 214.24/148.83 | (2481) all_354_0_546 = 0 % 214.24/148.83 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.24/148.83 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.24/148.83 | % 214.24/148.83 | Instantiating (583) with all_378_0_566 yields: % 214.24/148.83 | (2516) (all_378_0_566 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_566 = 0 & mem(all_165_2_96, e) = 0) % 214.24/148.83 | % 214.24/148.83 +-Applying beta-rule and splitting (2479), into two cases. % 214.24/148.83 |-Branch one: % 214.24/148.83 | (2517) all_370_0_554 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2517) yields: % 214.24/148.83 | (2518) all_370_0_554 = 0 % 214.24/148.83 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.24/148.83 | (1953) all_110_1_81 = e % 214.24/148.83 | % 214.24/148.83 | From (1953) and (210) follows: % 214.24/148.83 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.24/148.83 | % 214.24/148.83 +-Applying beta-rule and splitting (2516), into two cases. % 214.24/148.83 |-Branch one: % 214.24/148.83 | (2522) all_378_0_566 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2522) yields: % 214.24/148.83 | (2523) all_378_0_566 = 0 % 214.24/148.83 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.24/148.83 | (593) all_165_2_96 = e % 214.24/148.83 | % 214.24/148.83 | From (593) and (288) follows: % 214.24/148.83 | (1959) mem(e, all_74_1_69) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.24/148.83 | (233) all_110_0_80 = 0 % 214.24/148.83 | % 214.24/148.83 | Equations (233) can reduce 209 to: % 214.24/148.83 | (175) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (2529) all_378_0_566 = 0 & mem(all_165_2_96, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2529) yields: % 214.24/148.83 | (2523) all_378_0_566 = 0 % 214.24/148.83 | (599) mem(all_165_2_96, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.24/148.83 | (538) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (2533) all_370_0_554 = 0 & mem(all_110_1_81, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2533) yields: % 214.24/148.83 | (2518) all_370_0_554 = 0 % 214.24/148.83 | (1968) mem(all_110_1_81, e) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.24/148.83 | (538) $false % 214.24/148.83 | % 214.24/148.83 |-The branch is then unsatisfiable % 214.24/148.83 |-Branch two: % 214.24/148.83 | (2296) all_292_0_507 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 214.24/148.83 | % 214.24/148.83 | Applying alpha-rule on (2296) yields: % 214.24/148.83 | (2290) all_292_0_507 = 0 % 214.24/148.83 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 214.24/148.83 | % 214.24/148.83 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 214.24/148.83 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 214.24/148.83 | % 214.24/148.83 | Instantiating (608) with all_332_0_573 yields: % 214.24/148.83 | (2541) (all_332_0_573 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_573 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 214.24/148.83 | % 214.24/148.83 +-Applying beta-rule and splitting (2247), into two cases. % 214.24/148.83 |-Branch one: % 214.24/148.83 | (2301) all_308_0_512 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2301) yields: % 214.24/148.84 | (2302) all_308_0_512 = 0 % 214.24/148.84 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.24/148.84 | (495) all_165_2_96 = all_0_5_5 % 214.24/148.84 | % 214.24/148.84 | From (495) and (311) follows: % 214.24/148.84 | (737) mem(all_244_1_112, all_0_5_5) = all_244_0_111 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (8) with all_244_0_111, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_112 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_112, all_0_5_5) = all_244_0_111, yields: % 214.24/148.84 | (738) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (2283), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.84 | (2313) all_316_0_516 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2313) yields: % 214.24/148.84 | (2314) all_316_0_516 = 0 % 214.24/148.84 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (738), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.84 | (557) all_244_0_111 = 0 % 214.24/148.84 | % 214.24/148.84 | Equations (557) can reduce 309 to: % 214.24/148.84 | (175) $false % 214.24/148.84 | % 214.24/148.84 |-The branch is then unsatisfiable % 214.24/148.84 |-Branch two: % 214.24/148.84 | (309) ~ (all_244_0_111 = 0) % 214.24/148.84 | (745) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.24/148.84 | (507) all_212_1_107 = all_0_5_5 % 214.24/148.84 | % 214.24/148.84 | From (507) and (310) follows: % 214.24/148.84 | (747) mem(all_244_1_112, all_0_5_5) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (65) with all_244_1_112, all_0_5_5, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_5_5) = all_244_0_111, mem(all_244_1_112, all_0_5_5) = 0, yields: % 214.24/148.84 | (557) all_244_0_111 = 0 % 214.24/148.84 | % 214.24/148.84 | Equations (557) can reduce 309 to: % 214.24/148.84 | (175) $false % 214.24/148.84 | % 214.24/148.84 |-The branch is then unsatisfiable % 214.24/148.84 |-Branch two: % 214.24/148.84 | (2320) all_316_0_516 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2320) yields: % 214.24/148.84 | (2314) all_316_0_516 = 0 % 214.24/148.84 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.24/148.84 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.24/148.84 | % 214.24/148.84 | Instantiating (514) with all_373_0_582 yields: % 214.24/148.84 | (2563) (all_373_0_582 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_582 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (2418), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.84 | (2448) all_324_0_545 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2448) yields: % 214.24/148.84 | (2449) all_324_0_545 = 0 % 214.24/148.84 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.24/148.84 | (1884) all_110_1_81 = all_0_6_6 % 214.24/148.84 | % 214.24/148.84 | From (1884) and (210) follows: % 214.24/148.84 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (2563), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.84 | (2569) all_373_0_582 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2569) yields: % 214.24/148.84 | (2570) all_373_0_582 = 0 % 214.24/148.84 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.24/148.84 | (524) all_212_1_107 = all_0_6_6 % 214.24/148.84 | % 214.24/148.84 | From (524) and (301) follows: % 214.24/148.84 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.24/148.84 | (233) all_110_0_80 = 0 % 214.24/148.84 | % 214.24/148.84 | Equations (233) can reduce 209 to: % 214.24/148.84 | (175) $false % 214.24/148.84 | % 214.24/148.84 |-The branch is then unsatisfiable % 214.24/148.84 |-Branch two: % 214.24/148.84 | (2576) all_373_0_582 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2576) yields: % 214.24/148.84 | (2570) all_373_0_582 = 0 % 214.24/148.84 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.24/148.84 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.24/148.84 | % 214.24/148.84 | Instantiating (531) with all_417_0_592 yields: % 214.24/148.84 | (2580) (all_417_0_592 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_592 = 0 & mem(all_212_1_107, e) = 0) % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (2580), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.84 | (2581) all_417_0_592 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2581) yields: % 214.24/148.84 | (2582) all_417_0_592 = 0 % 214.24/148.84 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.24/148.84 | (536) all_212_1_107 = e % 214.24/148.84 | % 214.24/148.84 | From (536) and (310) follows: % 214.24/148.84 | (537) mem(all_244_1_112, e) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.24/148.84 | (538) $false % 214.24/148.84 | % 214.24/148.84 |-The branch is then unsatisfiable % 214.24/148.84 |-Branch two: % 214.24/148.84 | (2587) all_417_0_592 = 0 & mem(all_212_1_107, e) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2587) yields: % 214.24/148.84 | (2582) all_417_0_592 = 0 % 214.24/148.84 | (541) mem(all_212_1_107, e) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.24/148.84 | (538) $false % 214.24/148.84 | % 214.24/148.84 |-The branch is then unsatisfiable % 214.24/148.84 |-Branch two: % 214.24/148.84 | (2475) all_324_0_545 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2475) yields: % 214.24/148.84 | (2449) all_324_0_545 = 0 % 214.24/148.84 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.24/148.84 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.24/148.84 | % 214.24/148.84 | Instantiating (1911) with all_392_0_597 yields: % 214.24/148.84 | (2595) (all_392_0_597 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_392_0_597 = 0 & mem(all_110_1_81, e) = 0) % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (2541), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.84 | (2596) all_332_0_573 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2596) yields: % 214.24/148.84 | (2597) all_332_0_573 = 0 % 214.24/148.84 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.24/148.84 | (642) all_135_1_87 = all_0_6_6 % 214.24/148.84 | % 214.24/148.84 | From (642) and (231) follows: % 214.24/148.84 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (2563), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.84 | (2569) all_373_0_582 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2569) yields: % 214.24/148.84 | (2570) all_373_0_582 = 0 % 214.24/148.84 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.24/148.84 | (524) all_212_1_107 = all_0_6_6 % 214.24/148.84 | % 214.24/148.84 | From (524) and (286) follows: % 214.24/148.84 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.24/148.84 | (261) all_135_0_86 = 0 % 214.24/148.84 | % 214.24/148.84 | Equations (261) can reduce 230 to: % 214.24/148.84 | (175) $false % 214.24/148.84 | % 214.24/148.84 |-The branch is then unsatisfiable % 214.24/148.84 |-Branch two: % 214.24/148.84 | (2576) all_373_0_582 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2576) yields: % 214.24/148.84 | (2570) all_373_0_582 = 0 % 214.24/148.84 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.24/148.84 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.24/148.84 | % 214.24/148.84 | Instantiating (531) with all_417_0_600 yields: % 214.24/148.84 | (2612) (all_417_0_600 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_600 = 0 & mem(all_212_1_107, e) = 0) % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (2612), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.84 | (2613) all_417_0_600 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2613) yields: % 214.24/148.84 | (2614) all_417_0_600 = 0 % 214.24/148.84 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.24/148.84 | (536) all_212_1_107 = e % 214.24/148.84 | % 214.24/148.84 | From (536) and (310) follows: % 214.24/148.84 | (537) mem(all_244_1_112, e) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.24/148.84 | (538) $false % 214.24/148.84 | % 214.24/148.84 |-The branch is then unsatisfiable % 214.24/148.84 |-Branch two: % 214.24/148.84 | (2619) all_417_0_600 = 0 & mem(all_212_1_107, e) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2619) yields: % 214.24/148.84 | (2614) all_417_0_600 = 0 % 214.24/148.84 | (541) mem(all_212_1_107, e) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.24/148.84 | (538) $false % 214.24/148.84 | % 214.24/148.84 |-The branch is then unsatisfiable % 214.24/148.84 |-Branch two: % 214.24/148.84 | (2623) all_332_0_573 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.24/148.84 | % 214.24/148.84 | Applying alpha-rule on (2623) yields: % 214.24/148.84 | (2597) all_332_0_573 = 0 % 214.24/148.84 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.24/148.84 | % 214.24/148.84 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.24/148.84 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.24/148.84 | % 214.24/148.84 | Instantiating (669) with all_406_0_603 yields: % 214.24/148.84 | (2627) (all_406_0_603 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_406_0_603 = 0 & mem(all_135_1_87, e) = 0) % 214.24/148.84 | % 214.24/148.84 +-Applying beta-rule and splitting (2595), into two cases. % 214.24/148.84 |-Branch one: % 214.24/148.85 | (2628) all_392_0_597 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2628) yields: % 214.24/148.85 | (2629) all_392_0_597 = 0 % 214.24/148.85 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.24/148.85 | (1953) all_110_1_81 = e % 214.24/148.85 | % 214.24/148.85 | From (1953) and (210) follows: % 214.24/148.85 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.24/148.85 | % 214.24/148.85 +-Applying beta-rule and splitting (2627), into two cases. % 214.24/148.85 |-Branch one: % 214.24/148.85 | (2633) all_406_0_603 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2633) yields: % 214.24/148.85 | (2634) all_406_0_603 = 0 % 214.24/148.85 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.24/148.85 | (711) all_135_1_87 = e % 214.24/148.85 | % 214.24/148.85 | From (711) and (232) follows: % 214.24/148.85 | (1959) mem(e, all_74_1_69) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.24/148.85 | (233) all_110_0_80 = 0 % 214.24/148.85 | % 214.24/148.85 | Equations (233) can reduce 209 to: % 214.24/148.85 | (175) $false % 214.24/148.85 | % 214.24/148.85 |-The branch is then unsatisfiable % 214.24/148.85 |-Branch two: % 214.24/148.85 | (2640) all_406_0_603 = 0 & mem(all_135_1_87, e) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2640) yields: % 214.24/148.85 | (2634) all_406_0_603 = 0 % 214.24/148.85 | (726) mem(all_135_1_87, e) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.24/148.85 | (538) $false % 214.24/148.85 | % 214.24/148.85 |-The branch is then unsatisfiable % 214.24/148.85 |-Branch two: % 214.24/148.85 | (2644) all_392_0_597 = 0 & mem(all_110_1_81, e) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2644) yields: % 214.24/148.85 | (2629) all_392_0_597 = 0 % 214.24/148.85 | (1968) mem(all_110_1_81, e) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.24/148.85 | (538) $false % 214.24/148.85 | % 214.24/148.85 |-The branch is then unsatisfiable % 214.24/148.85 |-Branch two: % 214.24/148.85 | (2308) all_308_0_512 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2308) yields: % 214.24/148.85 | (2302) all_308_0_512 = 0 % 214.24/148.85 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 214.24/148.85 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 214.24/148.85 | % 214.24/148.85 | Instantiating (502) with all_351_0_605 yields: % 214.24/148.85 | (2652) (all_351_0_605 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_605 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 214.24/148.85 | % 214.24/148.85 +-Applying beta-rule and splitting (2418), into two cases. % 214.24/148.85 |-Branch one: % 214.24/148.85 | (2448) all_324_0_545 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2448) yields: % 214.24/148.85 | (2449) all_324_0_545 = 0 % 214.24/148.85 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.24/148.85 | (1884) all_110_1_81 = all_0_6_6 % 214.24/148.85 | % 214.24/148.85 | From (1884) and (210) follows: % 214.24/148.85 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.24/148.85 | % 214.24/148.85 +-Applying beta-rule and splitting (2541), into two cases. % 214.24/148.85 |-Branch one: % 214.24/148.85 | (2596) all_332_0_573 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2596) yields: % 214.24/148.85 | (2597) all_332_0_573 = 0 % 214.24/148.85 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.24/148.85 | (642) all_135_1_87 = all_0_6_6 % 214.24/148.85 | % 214.24/148.85 | From (642) and (232) follows: % 214.24/148.85 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.24/148.85 | (233) all_110_0_80 = 0 % 214.24/148.85 | % 214.24/148.85 | Equations (233) can reduce 209 to: % 214.24/148.85 | (175) $false % 214.24/148.85 | % 214.24/148.85 |-The branch is then unsatisfiable % 214.24/148.85 |-Branch two: % 214.24/148.85 | (2623) all_332_0_573 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2623) yields: % 214.24/148.85 | (2597) all_332_0_573 = 0 % 214.24/148.85 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.24/148.85 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.24/148.85 | % 214.24/148.85 | Instantiating (669) with all_389_0_610 yields: % 214.24/148.85 | (2669) (all_389_0_610 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_389_0_610 = 0 & mem(all_135_1_87, e) = 0) % 214.24/148.85 | % 214.24/148.85 +-Applying beta-rule and splitting (2652), into two cases. % 214.24/148.85 |-Branch one: % 214.24/148.85 | (2670) all_351_0_605 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2670) yields: % 214.24/148.85 | (2671) all_351_0_605 = 0 % 214.24/148.85 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.24/148.85 | (551) all_165_2_96 = all_0_6_6 % 214.24/148.85 | % 214.24/148.85 | From (551) and (288) follows: % 214.24/148.85 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.24/148.85 | (233) all_110_0_80 = 0 % 214.24/148.85 | % 214.24/148.85 | Equations (233) can reduce 209 to: % 214.24/148.85 | (175) $false % 214.24/148.85 | % 214.24/148.85 |-The branch is then unsatisfiable % 214.24/148.85 |-Branch two: % 214.24/148.85 | (2677) all_351_0_605 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2677) yields: % 214.24/148.85 | (2671) all_351_0_605 = 0 % 214.24/148.85 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.24/148.85 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.24/148.85 | % 214.24/148.85 | Instantiating (583) with all_397_0_611 yields: % 214.24/148.85 | (2681) (all_397_0_611 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_611 = 0 & mem(all_165_2_96, e) = 0) % 214.24/148.85 | % 214.24/148.85 +-Applying beta-rule and splitting (2669), into two cases. % 214.24/148.85 |-Branch one: % 214.24/148.85 | (2682) all_389_0_610 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2682) yields: % 214.24/148.85 | (2683) all_389_0_610 = 0 % 214.24/148.85 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.24/148.85 | (711) all_135_1_87 = e % 214.24/148.85 | % 214.24/148.85 | From (711) and (231) follows: % 214.24/148.85 | (712) mem(e, all_99_1_77) = all_135_0_86 % 214.24/148.85 | % 214.24/148.85 +-Applying beta-rule and splitting (2681), into two cases. % 214.24/148.85 |-Branch one: % 214.24/148.85 | (2687) all_397_0_611 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2687) yields: % 214.24/148.85 | (2688) all_397_0_611 = 0 % 214.24/148.85 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.24/148.85 | (593) all_165_2_96 = e % 214.24/148.85 | % 214.24/148.85 | From (593) and (268) follows: % 214.24/148.85 | (717) mem(e, all_99_1_77) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 214.24/148.85 | (261) all_135_0_86 = 0 % 214.24/148.85 | % 214.24/148.85 | Equations (261) can reduce 230 to: % 214.24/148.85 | (175) $false % 214.24/148.85 | % 214.24/148.85 |-The branch is then unsatisfiable % 214.24/148.85 |-Branch two: % 214.24/148.85 | (2694) all_397_0_611 = 0 & mem(all_165_2_96, e) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2694) yields: % 214.24/148.85 | (2688) all_397_0_611 = 0 % 214.24/148.85 | (599) mem(all_165_2_96, e) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.24/148.85 | (538) $false % 214.24/148.85 | % 214.24/148.85 |-The branch is then unsatisfiable % 214.24/148.85 |-Branch two: % 214.24/148.85 | (2698) all_389_0_610 = 0 & mem(all_135_1_87, e) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2698) yields: % 214.24/148.85 | (2683) all_389_0_610 = 0 % 214.24/148.85 | (726) mem(all_135_1_87, e) = 0 % 214.24/148.85 | % 214.24/148.85 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.24/148.85 | (538) $false % 214.24/148.85 | % 214.24/148.85 |-The branch is then unsatisfiable % 214.24/148.85 |-Branch two: % 214.24/148.85 | (2475) all_324_0_545 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.24/148.85 | % 214.24/148.85 | Applying alpha-rule on (2475) yields: % 214.24/148.85 | (2449) all_324_0_545 = 0 % 214.24/148.86 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.24/148.86 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.24/148.86 | % 214.24/148.86 | Instantiating (1911) with all_377_0_614 yields: % 214.24/148.86 | (2706) (all_377_0_614 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_377_0_614 = 0 & mem(all_110_1_81, e) = 0) % 214.24/148.86 | % 214.24/148.86 +-Applying beta-rule and splitting (2541), into two cases. % 214.24/148.86 |-Branch one: % 214.24/148.86 | (2596) all_332_0_573 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2596) yields: % 214.24/148.86 | (2597) all_332_0_573 = 0 % 214.24/148.86 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.24/148.86 | (642) all_135_1_87 = all_0_6_6 % 214.24/148.86 | % 214.24/148.86 | From (642) and (231) follows: % 214.24/148.86 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.24/148.86 | % 214.24/148.86 +-Applying beta-rule and splitting (2652), into two cases. % 214.24/148.86 |-Branch one: % 214.24/148.86 | (2670) all_351_0_605 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2670) yields: % 214.24/148.86 | (2671) all_351_0_605 = 0 % 214.24/148.86 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.24/148.86 | (551) all_165_2_96 = all_0_6_6 % 214.24/148.86 | % 214.24/148.86 | From (551) and (268) follows: % 214.24/148.86 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.24/148.86 | (261) all_135_0_86 = 0 % 214.24/148.86 | % 214.24/148.86 | Equations (261) can reduce 230 to: % 214.24/148.86 | (175) $false % 214.24/148.86 | % 214.24/148.86 |-The branch is then unsatisfiable % 214.24/148.86 |-Branch two: % 214.24/148.86 | (2677) all_351_0_605 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2677) yields: % 214.24/148.86 | (2671) all_351_0_605 = 0 % 214.24/148.86 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.24/148.86 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.24/148.86 | % 214.24/148.86 | Instantiating (583) with all_397_0_616 yields: % 214.24/148.86 | (2723) (all_397_0_616 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_616 = 0 & mem(all_165_2_96, e) = 0) % 214.24/148.86 | % 214.24/148.86 +-Applying beta-rule and splitting (2706), into two cases. % 214.24/148.86 |-Branch one: % 214.24/148.86 | (2724) all_377_0_614 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2724) yields: % 214.24/148.86 | (2725) all_377_0_614 = 0 % 214.24/148.86 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.24/148.86 | (1953) all_110_1_81 = e % 214.24/148.86 | % 214.24/148.86 | From (1953) and (210) follows: % 214.24/148.86 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.24/148.86 | % 214.24/148.86 +-Applying beta-rule and splitting (2723), into two cases. % 214.24/148.86 |-Branch one: % 214.24/148.86 | (2729) all_397_0_616 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2729) yields: % 214.24/148.86 | (2730) all_397_0_616 = 0 % 214.24/148.86 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.24/148.86 | (593) all_165_2_96 = e % 214.24/148.86 | % 214.24/148.86 | From (593) and (288) follows: % 214.24/148.86 | (1959) mem(e, all_74_1_69) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.24/148.86 | (233) all_110_0_80 = 0 % 214.24/148.86 | % 214.24/148.86 | Equations (233) can reduce 209 to: % 214.24/148.86 | (175) $false % 214.24/148.86 | % 214.24/148.86 |-The branch is then unsatisfiable % 214.24/148.86 |-Branch two: % 214.24/148.86 | (2736) all_397_0_616 = 0 & mem(all_165_2_96, e) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2736) yields: % 214.24/148.86 | (2730) all_397_0_616 = 0 % 214.24/148.86 | (599) mem(all_165_2_96, e) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.24/148.86 | (538) $false % 214.24/148.86 | % 214.24/148.86 |-The branch is then unsatisfiable % 214.24/148.86 |-Branch two: % 214.24/148.86 | (2740) all_377_0_614 = 0 & mem(all_110_1_81, e) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2740) yields: % 214.24/148.86 | (2725) all_377_0_614 = 0 % 214.24/148.86 | (1968) mem(all_110_1_81, e) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.24/148.86 | (538) $false % 214.24/148.86 | % 214.24/148.86 |-The branch is then unsatisfiable % 214.24/148.86 |-Branch two: % 214.24/148.86 | (2623) all_332_0_573 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2623) yields: % 214.24/148.86 | (2597) all_332_0_573 = 0 % 214.24/148.86 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.24/148.86 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.24/148.86 | % 214.24/148.86 | Instantiating (669) with all_386_0_617 yields: % 214.24/148.86 | (2748) (all_386_0_617 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_386_0_617 = 0 & mem(all_135_1_87, e) = 0) % 214.24/148.86 | % 214.24/148.86 +-Applying beta-rule and splitting (2706), into two cases. % 214.24/148.86 |-Branch one: % 214.24/148.86 | (2724) all_377_0_614 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2724) yields: % 214.24/148.86 | (2725) all_377_0_614 = 0 % 214.24/148.86 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.24/148.86 | (1953) all_110_1_81 = e % 214.24/148.86 | % 214.24/148.86 | From (1953) and (210) follows: % 214.24/148.86 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.24/148.86 | % 214.24/148.86 +-Applying beta-rule and splitting (2748), into two cases. % 214.24/148.86 |-Branch one: % 214.24/148.86 | (2754) all_386_0_617 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2754) yields: % 214.24/148.86 | (2755) all_386_0_617 = 0 % 214.24/148.86 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.24/148.86 | (711) all_135_1_87 = e % 214.24/148.86 | % 214.24/148.86 | From (711) and (232) follows: % 214.24/148.86 | (1959) mem(e, all_74_1_69) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.24/148.86 | (233) all_110_0_80 = 0 % 214.24/148.86 | % 214.24/148.86 | Equations (233) can reduce 209 to: % 214.24/148.86 | (175) $false % 214.24/148.86 | % 214.24/148.86 |-The branch is then unsatisfiable % 214.24/148.86 |-Branch two: % 214.24/148.86 | (2761) all_386_0_617 = 0 & mem(all_135_1_87, e) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2761) yields: % 214.24/148.86 | (2755) all_386_0_617 = 0 % 214.24/148.86 | (726) mem(all_135_1_87, e) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.24/148.86 | (538) $false % 214.24/148.86 | % 214.24/148.86 |-The branch is then unsatisfiable % 214.24/148.86 |-Branch two: % 214.24/148.86 | (2740) all_377_0_614 = 0 & mem(all_110_1_81, e) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (2740) yields: % 214.24/148.86 | (2725) all_377_0_614 = 0 % 214.24/148.86 | (1968) mem(all_110_1_81, e) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.24/148.86 | (538) $false % 214.24/148.86 | % 214.24/148.86 |-The branch is then unsatisfiable % 214.24/148.86 |-Branch two: % 214.24/148.86 | (398) all_252_0_113 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (398) yields: % 214.24/148.86 | (368) all_252_0_113 = 0 % 214.24/148.86 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 214.24/148.86 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 214.24/148.86 | % 214.24/148.86 | Instantiating (401) with all_300_0_631 yields: % 214.24/148.86 | (2773) (all_300_0_631 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_631 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 214.24/148.86 | % 214.24/148.86 +-Applying beta-rule and splitting (318), into two cases. % 214.24/148.86 |-Branch one: % 214.24/148.86 | (403) all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 214.24/148.86 | % 214.24/148.86 | Applying alpha-rule on (403) yields: % 214.24/148.86 | (404) all_259_0_114 = 0 % 214.24/148.86 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 214.24/148.86 | % 214.24/148.86 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 214.24/148.86 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 214.24/148.86 | % 214.24/148.86 | Instantiating (406) with all_308_0_632 yields: % 214.24/148.86 | (2778) (all_308_0_632 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_632 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 214.24/148.86 | % 214.24/148.86 +-Applying beta-rule and splitting (320), into two cases. % 214.24/148.86 |-Branch one: % 214.24/148.86 | (439) all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 214.24/148.87 | % 214.24/148.87 | Applying alpha-rule on (439) yields: % 214.24/148.87 | (440) all_265_0_115 = 0 % 214.24/148.87 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 214.24/148.87 | % 214.24/148.87 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 214.24/148.87 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 214.24/148.87 | % 214.24/148.87 | Instantiating (442) with all_316_0_633 yields: % 214.24/148.87 | (2783) (all_316_0_633 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_633 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 214.24/148.87 | % 214.24/148.87 +-Applying beta-rule and splitting (2778), into two cases. % 214.24/148.87 |-Branch one: % 214.24/148.87 | (2784) all_308_0_632 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 214.24/148.87 | % 214.24/148.87 | Applying alpha-rule on (2784) yields: % 214.24/148.87 | (2785) all_308_0_632 = 0 % 214.24/148.87 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 214.44/148.87 | (423) all_165_2_96 = all_0_2_2 % 214.44/148.87 | % 214.44/148.87 | From (423) and (303) follows: % 214.44/148.87 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 214.44/148.87 | (212) all_85_0_72 = 0 % 214.44/148.87 | % 214.44/148.87 | Equations (212) can reduce 183 to: % 214.44/148.87 | (175) $false % 214.44/148.87 | % 214.44/148.87 |-The branch is then unsatisfiable % 214.44/148.87 |-Branch two: % 214.44/148.87 | (2791) all_308_0_632 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2791) yields: % 214.44/148.87 | (2785) all_308_0_632 = 0 % 214.44/148.87 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 214.44/148.87 | (430) all_165_2_96 = all_0_3_3 % 214.44/148.87 | % 214.44/148.87 | From (430) and (311) follows: % 214.44/148.87 | (2795) mem(all_244_1_112, all_0_3_3) = all_244_0_111 % 214.44/148.87 | % 214.44/148.87 +-Applying beta-rule and splitting (2783), into two cases. % 214.44/148.87 |-Branch one: % 214.44/148.87 | (2796) all_316_0_633 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2796) yields: % 214.44/148.87 | (2797) all_316_0_633 = 0 % 214.44/148.87 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 214.44/148.87 | (459) all_212_1_107 = all_0_2_2 % 214.44/148.87 | % 214.44/148.87 | From (459) and (312) follows: % 214.44/148.87 | (340) mem(all_0_2_2, all_57_1_62) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (65) with all_0_2_2, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_2_2, all_57_1_62) = all_85_0_72, mem(all_0_2_2, all_57_1_62) = 0, yields: % 214.44/148.87 | (212) all_85_0_72 = 0 % 214.44/148.87 | % 214.44/148.87 | Equations (212) can reduce 183 to: % 214.44/148.87 | (175) $false % 214.44/148.87 | % 214.44/148.87 |-The branch is then unsatisfiable % 214.44/148.87 |-Branch two: % 214.44/148.87 | (2803) all_316_0_633 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2803) yields: % 214.44/148.87 | (2797) all_316_0_633 = 0 % 214.44/148.87 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 214.44/148.87 | (466) all_212_1_107 = all_0_3_3 % 214.44/148.87 | % 214.44/148.87 | From (466) and (310) follows: % 214.44/148.87 | (2807) mem(all_244_1_112, all_0_3_3) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (65) with all_244_1_112, all_0_3_3, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_3_3) = all_244_0_111, mem(all_244_1_112, all_0_3_3) = 0, yields: % 214.44/148.87 | (557) all_244_0_111 = 0 % 214.44/148.87 | % 214.44/148.87 | Equations (557) can reduce 309 to: % 214.44/148.87 | (175) $false % 214.44/148.87 | % 214.44/148.87 |-The branch is then unsatisfiable % 214.44/148.87 |-Branch two: % 214.44/148.87 | (470) all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (470) yields: % 214.44/148.87 | (440) all_265_0_115 = 0 % 214.44/148.87 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 214.44/148.87 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 214.44/148.87 | % 214.44/148.87 | Instantiating (473) with all_316_0_640 yields: % 214.44/148.87 | (2814) (all_316_0_640 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_640 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 214.44/148.87 | % 214.44/148.87 +-Applying beta-rule and splitting (1598), into two cases. % 214.44/148.87 |-Branch one: % 214.44/148.87 | (1717) all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (1717) yields: % 214.44/148.87 | (1718) all_273_0_379 = 0 % 214.44/148.87 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 214.44/148.87 | (1720) all_110_1_81 = all_0_5_5 % 214.44/148.87 | % 214.44/148.87 | From (1720) and (210) follows: % 214.44/148.87 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 214.44/148.87 | % 214.44/148.87 +-Applying beta-rule and splitting (2206), into two cases. % 214.44/148.87 |-Branch one: % 214.44/148.87 | (2289) all_292_0_507 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2289) yields: % 214.44/148.87 | (2290) all_292_0_507 = 0 % 214.44/148.87 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 214.44/148.87 | (478) all_135_1_87 = all_0_5_5 % 214.44/148.87 | % 214.44/148.87 | From (478) and (232) follows: % 214.44/148.87 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.44/148.87 | (233) all_110_0_80 = 0 % 214.44/148.87 | % 214.44/148.87 | Equations (233) can reduce 209 to: % 214.44/148.87 | (175) $false % 214.44/148.87 | % 214.44/148.87 |-The branch is then unsatisfiable % 214.44/148.87 |-Branch two: % 214.44/148.87 | (2296) all_292_0_507 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2296) yields: % 214.44/148.87 | (2290) all_292_0_507 = 0 % 214.44/148.87 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 214.44/148.87 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 214.44/148.87 | % 214.44/148.87 | Instantiating (608) with all_335_0_641 yields: % 214.44/148.87 | (2831) (all_335_0_641 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_641 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 214.44/148.87 | % 214.44/148.87 +-Applying beta-rule and splitting (2773), into two cases. % 214.44/148.87 |-Branch one: % 214.44/148.87 | (2832) all_300_0_631 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2832) yields: % 214.44/148.87 | (2833) all_300_0_631 = 0 % 214.44/148.87 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 214.44/148.87 | (483) all_181_1_101 = all_0_5_5 % 214.44/148.87 | % 214.44/148.87 | From (483) and (267) follows: % 214.44/148.87 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.44/148.87 | (233) all_110_0_80 = 0 % 214.44/148.87 | % 214.44/148.87 | Equations (233) can reduce 209 to: % 214.44/148.87 | (175) $false % 214.44/148.87 | % 214.44/148.87 |-The branch is then unsatisfiable % 214.44/148.87 |-Branch two: % 214.44/148.87 | (2839) all_300_0_631 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2839) yields: % 214.44/148.87 | (2833) all_300_0_631 = 0 % 214.44/148.87 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 214.44/148.87 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 214.44/148.87 | % 214.44/148.87 | Instantiating (490) with all_343_0_642 yields: % 214.44/148.87 | (2843) (all_343_0_642 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_642 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 214.44/148.87 | % 214.44/148.87 +-Applying beta-rule and splitting (2814), into two cases. % 214.44/148.87 |-Branch one: % 214.44/148.87 | (2844) all_316_0_640 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2844) yields: % 214.44/148.87 | (2845) all_316_0_640 = 0 % 214.44/148.87 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.44/148.87 | (507) all_212_1_107 = all_0_5_5 % 214.44/148.87 | % 214.44/148.87 | From (507) and (301) follows: % 214.44/148.87 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.44/148.87 | (233) all_110_0_80 = 0 % 214.44/148.87 | % 214.44/148.87 | Equations (233) can reduce 209 to: % 214.44/148.87 | (175) $false % 214.44/148.87 | % 214.44/148.87 |-The branch is then unsatisfiable % 214.44/148.87 |-Branch two: % 214.44/148.87 | (2851) all_316_0_640 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2851) yields: % 214.44/148.87 | (2845) all_316_0_640 = 0 % 214.44/148.87 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.44/148.87 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.44/148.87 | % 214.44/148.87 | Instantiating (514) with all_368_0_647 yields: % 214.44/148.87 | (2855) (all_368_0_647 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_647 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.44/148.87 | % 214.44/148.87 +-Applying beta-rule and splitting (2831), into two cases. % 214.44/148.87 |-Branch one: % 214.44/148.87 | (2856) all_335_0_641 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.44/148.87 | % 214.44/148.87 | Applying alpha-rule on (2856) yields: % 214.44/148.87 | (2857) all_335_0_641 = 0 % 214.44/148.87 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.44/148.87 | % 214.44/148.87 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.44/148.87 | (642) all_135_1_87 = all_0_6_6 % 214.44/148.87 | % 214.44/148.87 | From (642) and (231) follows: % 214.44/148.87 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.44/148.87 | % 214.44/148.87 +-Applying beta-rule and splitting (2855), into two cases. % 214.44/148.87 |-Branch one: % 214.44/148.87 | (2861) all_368_0_647 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.44/148.87 | % 214.44/148.88 | Applying alpha-rule on (2861) yields: % 214.44/148.88 | (2862) all_368_0_647 = 0 % 214.44/148.88 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.44/148.88 | % 214.44/148.88 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.44/148.88 | (524) all_212_1_107 = all_0_6_6 % 214.44/148.88 | % 214.44/148.88 | From (524) and (286) follows: % 214.44/148.88 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.44/148.88 | % 214.44/148.88 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.44/148.88 | (261) all_135_0_86 = 0 % 214.44/148.88 | % 214.44/148.88 | Equations (261) can reduce 230 to: % 214.44/148.88 | (175) $false % 214.44/148.88 | % 214.44/148.88 |-The branch is then unsatisfiable % 214.44/148.88 |-Branch two: % 214.44/148.88 | (2868) all_368_0_647 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.44/148.88 | % 214.44/148.88 | Applying alpha-rule on (2868) yields: % 214.44/148.88 | (2862) all_368_0_647 = 0 % 214.44/148.88 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.44/148.88 | % 214.44/148.88 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.44/148.88 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.44/148.88 | % 214.44/148.88 | Instantiating (531) with all_395_0_649 yields: % 214.44/148.88 | (2872) (all_395_0_649 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_649 = 0 & mem(all_212_1_107, e) = 0) % 214.44/148.88 | % 214.44/148.88 +-Applying beta-rule and splitting (2872), into two cases. % 214.44/148.88 |-Branch one: % 214.44/148.88 | (2873) all_395_0_649 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.44/148.88 | % 214.44/148.88 | Applying alpha-rule on (2873) yields: % 214.44/148.88 | (2874) all_395_0_649 = 0 % 214.44/148.88 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.44/148.88 | % 214.44/148.88 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.44/148.88 | (536) all_212_1_107 = e % 214.44/148.88 | % 214.44/148.88 | From (536) and (310) follows: % 214.44/148.88 | (537) mem(all_244_1_112, e) = 0 % 214.44/148.88 | % 214.44/148.88 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.44/148.88 | (538) $false % 214.44/148.88 | % 214.44/148.88 |-The branch is then unsatisfiable % 214.44/148.88 |-Branch two: % 214.44/148.88 | (2879) all_395_0_649 = 0 & mem(all_212_1_107, e) = 0 % 214.44/148.88 | % 214.44/148.88 | Applying alpha-rule on (2879) yields: % 214.44/148.88 | (2874) all_395_0_649 = 0 % 214.44/148.88 | (541) mem(all_212_1_107, e) = 0 % 214.44/148.88 | % 214.44/148.88 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.44/148.88 | (538) $false % 214.44/148.88 | % 214.44/148.88 |-The branch is then unsatisfiable % 214.44/148.88 |-Branch two: % 214.44/148.88 | (2883) all_335_0_641 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.44/148.88 | % 214.44/148.88 | Applying alpha-rule on (2883) yields: % 214.44/148.88 | (2857) all_335_0_641 = 0 % 214.44/148.88 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.44/148.88 | % 214.44/148.88 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.44/148.88 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.44/148.88 | % 214.44/148.88 | Instantiating (669) with all_376_0_650 yields: % 214.44/148.88 | (2887) (all_376_0_650 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_376_0_650 = 0 & mem(all_135_1_87, e) = 0) % 214.44/148.88 | % 214.48/148.88 +-Applying beta-rule and splitting (2843), into two cases. % 214.48/148.88 |-Branch one: % 214.48/148.88 | (2888) all_343_0_642 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2888) yields: % 214.48/148.88 | (2889) all_343_0_642 = 0 % 214.48/148.88 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.48/148.88 | (519) all_181_1_101 = all_0_6_6 % 214.48/148.88 | % 214.48/148.88 | From (519) and (259) follows: % 214.48/148.88 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 214.48/148.88 | % 214.48/148.88 +-Applying beta-rule and splitting (2855), into two cases. % 214.48/148.88 |-Branch one: % 214.48/148.88 | (2861) all_368_0_647 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2861) yields: % 214.48/148.88 | (2862) all_368_0_647 = 0 % 214.48/148.88 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.48/148.88 | (524) all_212_1_107 = all_0_6_6 % 214.48/148.88 | % 214.48/148.88 | From (524) and (281) follows: % 214.48/148.88 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 214.48/148.88 | (526) all_181_0_100 = 0 % 214.48/148.88 | % 214.48/148.88 | Equations (526) can reduce 258 to: % 214.48/148.88 | (175) $false % 214.48/148.88 | % 214.48/148.88 |-The branch is then unsatisfiable % 214.48/148.88 |-Branch two: % 214.48/148.88 | (2868) all_368_0_647 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2868) yields: % 214.48/148.88 | (2862) all_368_0_647 = 0 % 214.48/148.88 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.48/148.88 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.48/148.88 | % 214.48/148.88 | Instantiating (531) with all_395_0_651 yields: % 214.48/148.88 | (2904) (all_395_0_651 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_651 = 0 & mem(all_212_1_107, e) = 0) % 214.48/148.88 | % 214.48/148.88 +-Applying beta-rule and splitting (2904), into two cases. % 214.48/148.88 |-Branch one: % 214.48/148.88 | (2905) all_395_0_651 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2905) yields: % 214.48/148.88 | (2906) all_395_0_651 = 0 % 214.48/148.88 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.48/148.88 | (536) all_212_1_107 = e % 214.48/148.88 | % 214.48/148.88 | From (536) and (310) follows: % 214.48/148.88 | (537) mem(all_244_1_112, e) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.48/148.88 | (538) $false % 214.48/148.88 | % 214.48/148.88 |-The branch is then unsatisfiable % 214.48/148.88 |-Branch two: % 214.48/148.88 | (2911) all_395_0_651 = 0 & mem(all_212_1_107, e) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2911) yields: % 214.48/148.88 | (2906) all_395_0_651 = 0 % 214.48/148.88 | (541) mem(all_212_1_107, e) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.48/148.88 | (538) $false % 214.48/148.88 | % 214.48/148.88 |-The branch is then unsatisfiable % 214.48/148.88 |-Branch two: % 214.48/148.88 | (2915) all_343_0_642 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2915) yields: % 214.48/148.88 | (2889) all_343_0_642 = 0 % 214.48/148.88 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.48/148.88 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.48/148.88 | % 214.48/148.88 | Instantiating (546) with all_384_0_652 yields: % 214.48/148.88 | (2919) (all_384_0_652 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_384_0_652 = 0 & mem(all_181_1_101, e) = 0) % 214.48/148.88 | % 214.48/148.88 +-Applying beta-rule and splitting (2887), into two cases. % 214.48/148.88 |-Branch one: % 214.48/148.88 | (2920) all_376_0_650 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2920) yields: % 214.48/148.88 | (2921) all_376_0_650 = 0 % 214.48/148.88 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.48/148.88 | (711) all_135_1_87 = e % 214.48/148.88 | % 214.48/148.88 | From (711) and (231) follows: % 214.48/148.88 | (712) mem(e, all_99_1_77) = all_135_0_86 % 214.48/148.88 | % 214.48/148.88 +-Applying beta-rule and splitting (2919), into two cases. % 214.48/148.88 |-Branch one: % 214.48/148.88 | (2925) all_384_0_652 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2925) yields: % 214.48/148.88 | (2926) all_384_0_652 = 0 % 214.48/148.88 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.48/148.88 | (588) all_181_1_101 = e % 214.48/148.88 | % 214.48/148.88 | From (588) and (260) follows: % 214.48/148.88 | (717) mem(e, all_99_1_77) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 214.48/148.88 | (261) all_135_0_86 = 0 % 214.48/148.88 | % 214.48/148.88 | Equations (261) can reduce 230 to: % 214.48/148.88 | (175) $false % 214.48/148.88 | % 214.48/148.88 |-The branch is then unsatisfiable % 214.48/148.88 |-Branch two: % 214.48/148.88 | (2932) all_384_0_652 = 0 & mem(all_181_1_101, e) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2932) yields: % 214.48/148.88 | (2926) all_384_0_652 = 0 % 214.48/148.88 | (603) mem(all_181_1_101, e) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.48/148.88 | (538) $false % 214.48/148.88 | % 214.48/148.88 |-The branch is then unsatisfiable % 214.48/148.88 |-Branch two: % 214.48/148.88 | (2936) all_376_0_650 = 0 & mem(all_135_1_87, e) = 0 % 214.48/148.88 | % 214.48/148.88 | Applying alpha-rule on (2936) yields: % 214.48/148.88 | (2921) all_376_0_650 = 0 % 214.48/148.88 | (726) mem(all_135_1_87, e) = 0 % 214.48/148.88 | % 214.48/148.88 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.48/148.88 | (538) $false % 214.48/148.88 | % 214.48/148.88 |-The branch is then unsatisfiable % 214.48/148.89 |-Branch two: % 214.48/148.89 | (1847) all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (1847) yields: % 214.48/148.89 | (1718) all_273_0_379 = 0 % 214.48/148.89 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 214.48/148.89 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 214.48/148.89 | % 214.48/148.89 | Instantiating (1850) with all_324_0_660 yields: % 214.48/148.89 | (2944) (all_324_0_660 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_660 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 214.48/148.89 | % 214.48/148.89 +-Applying beta-rule and splitting (2206), into two cases. % 214.48/148.89 |-Branch one: % 214.48/148.89 | (2289) all_292_0_507 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2289) yields: % 214.48/148.89 | (2290) all_292_0_507 = 0 % 214.48/148.89 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 214.48/148.89 | (478) all_135_1_87 = all_0_5_5 % 214.48/148.89 | % 214.48/148.89 | From (478) and (231) follows: % 214.48/148.89 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 214.48/148.89 | % 214.48/148.89 +-Applying beta-rule and splitting (2773), into two cases. % 214.48/148.89 |-Branch one: % 214.48/148.89 | (2832) all_300_0_631 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2832) yields: % 214.48/148.89 | (2833) all_300_0_631 = 0 % 214.48/148.89 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 214.48/148.89 | (483) all_181_1_101 = all_0_5_5 % 214.48/148.89 | % 214.48/148.89 | From (483) and (260) follows: % 214.48/148.89 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 214.48/148.89 | (261) all_135_0_86 = 0 % 214.48/148.89 | % 214.48/148.89 | Equations (261) can reduce 230 to: % 214.48/148.89 | (175) $false % 214.48/148.89 | % 214.48/148.89 |-The branch is then unsatisfiable % 214.48/148.89 |-Branch two: % 214.48/148.89 | (2839) all_300_0_631 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2839) yields: % 214.48/148.89 | (2833) all_300_0_631 = 0 % 214.48/148.89 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 214.48/148.89 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 214.48/148.89 | % 214.48/148.89 | Instantiating (490) with all_343_0_661 yields: % 214.48/148.89 | (2961) (all_343_0_661 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_661 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 214.48/148.89 | % 214.48/148.89 +-Applying beta-rule and splitting (2814), into two cases. % 214.48/148.89 |-Branch one: % 214.48/148.89 | (2844) all_316_0_640 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2844) yields: % 214.48/148.89 | (2845) all_316_0_640 = 0 % 214.48/148.89 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.48/148.89 | (507) all_212_1_107 = all_0_5_5 % 214.48/148.89 | % 214.48/148.89 | From (507) and (286) follows: % 214.48/148.89 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 214.48/148.89 | (261) all_135_0_86 = 0 % 214.48/148.89 | % 214.48/148.89 | Equations (261) can reduce 230 to: % 214.48/148.89 | (175) $false % 214.48/148.89 | % 214.48/148.89 |-The branch is then unsatisfiable % 214.48/148.89 |-Branch two: % 214.48/148.89 | (2851) all_316_0_640 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2851) yields: % 214.48/148.89 | (2845) all_316_0_640 = 0 % 214.48/148.89 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.48/148.89 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.48/148.89 | % 214.48/148.89 | Instantiating (514) with all_368_0_666 yields: % 214.48/148.89 | (2973) (all_368_0_666 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_666 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.48/148.89 | % 214.48/148.89 +-Applying beta-rule and splitting (2944), into two cases. % 214.48/148.89 |-Branch one: % 214.48/148.89 | (2974) all_324_0_660 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2974) yields: % 214.48/148.89 | (2975) all_324_0_660 = 0 % 214.48/148.89 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.48/148.89 | (1884) all_110_1_81 = all_0_6_6 % 214.48/148.89 | % 214.48/148.89 | From (1884) and (210) follows: % 214.48/148.89 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.48/148.89 | % 214.48/148.89 +-Applying beta-rule and splitting (2973), into two cases. % 214.48/148.89 |-Branch one: % 214.48/148.89 | (2979) all_368_0_666 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2979) yields: % 214.48/148.89 | (2980) all_368_0_666 = 0 % 214.48/148.89 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.48/148.89 | (524) all_212_1_107 = all_0_6_6 % 214.48/148.89 | % 214.48/148.89 | From (524) and (301) follows: % 214.48/148.89 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.48/148.89 | (233) all_110_0_80 = 0 % 214.48/148.89 | % 214.48/148.89 | Equations (233) can reduce 209 to: % 214.48/148.89 | (175) $false % 214.48/148.89 | % 214.48/148.89 |-The branch is then unsatisfiable % 214.48/148.89 |-Branch two: % 214.48/148.89 | (2986) all_368_0_666 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2986) yields: % 214.48/148.89 | (2980) all_368_0_666 = 0 % 214.48/148.89 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.48/148.89 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.48/148.89 | % 214.48/148.89 | Instantiating (531) with all_395_0_668 yields: % 214.48/148.89 | (2990) (all_395_0_668 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_668 = 0 & mem(all_212_1_107, e) = 0) % 214.48/148.89 | % 214.48/148.89 +-Applying beta-rule and splitting (2990), into two cases. % 214.48/148.89 |-Branch one: % 214.48/148.89 | (2991) all_395_0_668 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2991) yields: % 214.48/148.89 | (2992) all_395_0_668 = 0 % 214.48/148.89 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.48/148.89 | (536) all_212_1_107 = e % 214.48/148.89 | % 214.48/148.89 | From (536) and (310) follows: % 214.48/148.89 | (537) mem(all_244_1_112, e) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.48/148.89 | (538) $false % 214.48/148.89 | % 214.48/148.89 |-The branch is then unsatisfiable % 214.48/148.89 |-Branch two: % 214.48/148.89 | (2997) all_395_0_668 = 0 & mem(all_212_1_107, e) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2997) yields: % 214.48/148.89 | (2992) all_395_0_668 = 0 % 214.48/148.89 | (541) mem(all_212_1_107, e) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.48/148.89 | (538) $false % 214.48/148.89 | % 214.48/148.89 |-The branch is then unsatisfiable % 214.48/148.89 |-Branch two: % 214.48/148.89 | (3001) all_324_0_660 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (3001) yields: % 214.48/148.89 | (2975) all_324_0_660 = 0 % 214.48/148.89 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.48/148.89 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.48/148.89 | % 214.48/148.89 | Instantiating (1911) with all_376_0_669 yields: % 214.48/148.89 | (3005) (all_376_0_669 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_376_0_669 = 0 & mem(all_110_1_81, e) = 0) % 214.48/148.89 | % 214.48/148.89 +-Applying beta-rule and splitting (2961), into two cases. % 214.48/148.89 |-Branch one: % 214.48/148.89 | (3006) all_343_0_661 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (3006) yields: % 214.48/148.89 | (3007) all_343_0_661 = 0 % 214.48/148.89 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.48/148.89 | (519) all_181_1_101 = all_0_6_6 % 214.48/148.89 | % 214.48/148.89 | From (519) and (259) follows: % 214.48/148.89 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 214.48/148.89 | % 214.48/148.89 +-Applying beta-rule and splitting (2973), into two cases. % 214.48/148.89 |-Branch one: % 214.48/148.89 | (2979) all_368_0_666 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.48/148.89 | % 214.48/148.89 | Applying alpha-rule on (2979) yields: % 214.48/148.89 | (2980) all_368_0_666 = 0 % 214.48/148.89 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.48/148.89 | % 214.48/148.89 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.48/148.89 | (524) all_212_1_107 = all_0_6_6 % 214.48/148.90 | % 214.48/148.90 | From (524) and (281) follows: % 214.48/148.90 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 214.48/148.90 | (526) all_181_0_100 = 0 % 214.48/148.90 | % 214.48/148.90 | Equations (526) can reduce 258 to: % 214.48/148.90 | (175) $false % 214.48/148.90 | % 214.48/148.90 |-The branch is then unsatisfiable % 214.48/148.90 |-Branch two: % 214.48/148.90 | (2986) all_368_0_666 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (2986) yields: % 214.48/148.90 | (2980) all_368_0_666 = 0 % 214.48/148.90 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.48/148.90 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.48/148.90 | % 214.48/148.90 | Instantiating (531) with all_395_0_670 yields: % 214.48/148.90 | (3022) (all_395_0_670 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_670 = 0 & mem(all_212_1_107, e) = 0) % 214.48/148.90 | % 214.48/148.90 +-Applying beta-rule and splitting (3022), into two cases. % 214.48/148.90 |-Branch one: % 214.48/148.90 | (3023) all_395_0_670 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (3023) yields: % 214.48/148.90 | (3024) all_395_0_670 = 0 % 214.48/148.90 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.48/148.90 | (536) all_212_1_107 = e % 214.48/148.90 | % 214.48/148.90 | From (536) and (310) follows: % 214.48/148.90 | (537) mem(all_244_1_112, e) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.48/148.90 | (538) $false % 214.48/148.90 | % 214.48/148.90 |-The branch is then unsatisfiable % 214.48/148.90 |-Branch two: % 214.48/148.90 | (3029) all_395_0_670 = 0 & mem(all_212_1_107, e) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (3029) yields: % 214.48/148.90 | (3024) all_395_0_670 = 0 % 214.48/148.90 | (541) mem(all_212_1_107, e) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.48/148.90 | (538) $false % 214.48/148.90 | % 214.48/148.90 |-The branch is then unsatisfiable % 214.48/148.90 |-Branch two: % 214.48/148.90 | (3033) all_343_0_661 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (3033) yields: % 214.48/148.90 | (3007) all_343_0_661 = 0 % 214.48/148.90 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.48/148.90 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.48/148.90 | % 214.48/148.90 | Instantiating (546) with all_384_0_671 yields: % 214.48/148.90 | (3037) (all_384_0_671 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_384_0_671 = 0 & mem(all_181_1_101, e) = 0) % 214.48/148.90 | % 214.48/148.90 +-Applying beta-rule and splitting (3005), into two cases. % 214.48/148.90 |-Branch one: % 214.48/148.90 | (3038) all_376_0_669 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (3038) yields: % 214.48/148.90 | (3039) all_376_0_669 = 0 % 214.48/148.90 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.48/148.90 | (1953) all_110_1_81 = e % 214.48/148.90 | % 214.48/148.90 | From (1953) and (210) follows: % 214.48/148.90 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.48/148.90 | % 214.48/148.90 +-Applying beta-rule and splitting (3037), into two cases. % 214.48/148.90 |-Branch one: % 214.48/148.90 | (3043) all_384_0_671 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (3043) yields: % 214.48/148.90 | (3044) all_384_0_671 = 0 % 214.48/148.90 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.48/148.90 | (588) all_181_1_101 = e % 214.48/148.90 | % 214.48/148.90 | From (588) and (267) follows: % 214.48/148.90 | (1959) mem(e, all_74_1_69) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.48/148.90 | (233) all_110_0_80 = 0 % 214.48/148.90 | % 214.48/148.90 | Equations (233) can reduce 209 to: % 214.48/148.90 | (175) $false % 214.48/148.90 | % 214.48/148.90 |-The branch is then unsatisfiable % 214.48/148.90 |-Branch two: % 214.48/148.90 | (3050) all_384_0_671 = 0 & mem(all_181_1_101, e) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (3050) yields: % 214.48/148.90 | (3044) all_384_0_671 = 0 % 214.48/148.90 | (603) mem(all_181_1_101, e) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.48/148.90 | (538) $false % 214.48/148.90 | % 214.48/148.90 |-The branch is then unsatisfiable % 214.48/148.90 |-Branch two: % 214.48/148.90 | (3054) all_376_0_669 = 0 & mem(all_110_1_81, e) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (3054) yields: % 214.48/148.90 | (3039) all_376_0_669 = 0 % 214.48/148.90 | (1968) mem(all_110_1_81, e) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.48/148.90 | (538) $false % 214.48/148.90 | % 214.48/148.90 |-The branch is then unsatisfiable % 214.48/148.90 |-Branch two: % 214.48/148.90 | (2296) all_292_0_507 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (2296) yields: % 214.48/148.90 | (2290) all_292_0_507 = 0 % 214.48/148.90 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 214.48/148.90 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 214.48/148.90 | % 214.48/148.90 | Instantiating (608) with all_332_0_679 yields: % 214.48/148.90 | (3062) (all_332_0_679 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_679 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 214.48/148.90 | % 214.48/148.90 +-Applying beta-rule and splitting (2773), into two cases. % 214.48/148.90 |-Branch one: % 214.48/148.90 | (2832) all_300_0_631 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (2832) yields: % 214.48/148.90 | (2833) all_300_0_631 = 0 % 214.48/148.90 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 214.48/148.90 | (483) all_181_1_101 = all_0_5_5 % 214.48/148.90 | % 214.48/148.90 | From (483) and (259) follows: % 214.48/148.90 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 214.48/148.90 | % 214.48/148.90 +-Applying beta-rule and splitting (2814), into two cases. % 214.48/148.90 |-Branch one: % 214.48/148.90 | (2844) all_316_0_640 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (2844) yields: % 214.48/148.90 | (2845) all_316_0_640 = 0 % 214.48/148.90 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.48/148.90 | (507) all_212_1_107 = all_0_5_5 % 214.48/148.90 | % 214.48/148.90 | From (507) and (281) follows: % 214.48/148.90 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 214.48/148.90 | (526) all_181_0_100 = 0 % 214.48/148.90 | % 214.48/148.90 | Equations (526) can reduce 258 to: % 214.48/148.90 | (175) $false % 214.48/148.90 | % 214.48/148.90 |-The branch is then unsatisfiable % 214.48/148.90 |-Branch two: % 214.48/148.90 | (2851) all_316_0_640 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (2851) yields: % 214.48/148.90 | (2845) all_316_0_640 = 0 % 214.48/148.90 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.48/148.90 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.48/148.90 | % 214.48/148.90 | Instantiating (514) with all_368_0_684 yields: % 214.48/148.90 | (3079) (all_368_0_684 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_684 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.48/148.90 | % 214.48/148.90 +-Applying beta-rule and splitting (2944), into two cases. % 214.48/148.90 |-Branch one: % 214.48/148.90 | (2974) all_324_0_660 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.48/148.90 | % 214.48/148.90 | Applying alpha-rule on (2974) yields: % 214.48/148.90 | (2975) all_324_0_660 = 0 % 214.48/148.90 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.48/148.90 | % 214.48/148.90 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.48/148.90 | (1884) all_110_1_81 = all_0_6_6 % 214.48/148.90 | % 214.48/148.90 | From (1884) and (210) follows: % 214.48/148.90 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.48/148.90 | % 214.48/148.90 +-Applying beta-rule and splitting (3079), into two cases. % 214.48/148.90 |-Branch one: % 214.48/148.91 | (3085) all_368_0_684 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.48/148.91 | % 214.48/148.91 | Applying alpha-rule on (3085) yields: % 214.48/148.91 | (3086) all_368_0_684 = 0 % 214.48/148.91 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.48/148.91 | % 214.48/148.91 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.48/148.91 | (524) all_212_1_107 = all_0_6_6 % 214.48/148.91 | % 214.48/148.91 | From (524) and (301) follows: % 214.48/148.91 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.48/148.91 | % 214.48/148.91 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.48/148.91 | (233) all_110_0_80 = 0 % 214.48/148.91 | % 214.48/148.91 | Equations (233) can reduce 209 to: % 214.48/148.91 | (175) $false % 214.48/148.91 | % 214.48/148.91 |-The branch is then unsatisfiable % 214.48/148.91 |-Branch two: % 214.48/148.91 | (3092) all_368_0_684 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.48/148.91 | % 214.48/148.91 | Applying alpha-rule on (3092) yields: % 214.48/148.91 | (3086) all_368_0_684 = 0 % 214.48/148.91 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.48/148.91 | % 214.48/148.91 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.48/148.91 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.48/148.91 | % 214.48/148.91 | Instantiating (531) with all_395_0_686 yields: % 214.48/148.91 | (3096) (all_395_0_686 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_686 = 0 & mem(all_212_1_107, e) = 0) % 214.48/148.91 | % 214.48/148.91 +-Applying beta-rule and splitting (3096), into two cases. % 214.48/148.91 |-Branch one: % 214.48/148.91 | (3097) all_395_0_686 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.48/148.91 | % 214.48/148.91 | Applying alpha-rule on (3097) yields: % 214.48/148.91 | (3098) all_395_0_686 = 0 % 214.48/148.91 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.48/148.91 | % 214.48/148.91 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.48/148.91 | (536) all_212_1_107 = e % 214.48/148.91 | % 214.48/148.91 | From (536) and (310) follows: % 214.48/148.91 | (537) mem(all_244_1_112, e) = 0 % 214.48/148.91 | % 214.48/148.91 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.48/148.91 | (538) $false % 214.48/148.91 | % 214.48/148.91 |-The branch is then unsatisfiable % 214.48/148.91 |-Branch two: % 214.48/148.91 | (3103) all_395_0_686 = 0 & mem(all_212_1_107, e) = 0 % 214.48/148.91 | % 214.48/148.91 | Applying alpha-rule on (3103) yields: % 214.48/148.91 | (3098) all_395_0_686 = 0 % 214.48/148.91 | (541) mem(all_212_1_107, e) = 0 % 214.48/148.91 | % 214.48/148.91 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.48/148.91 | (538) $false % 214.48/148.91 | % 214.48/148.91 |-The branch is then unsatisfiable % 214.48/148.91 |-Branch two: % 214.48/148.91 | (3001) all_324_0_660 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.48/148.91 | % 214.48/148.91 | Applying alpha-rule on (3001) yields: % 214.48/148.91 | (2975) all_324_0_660 = 0 % 214.48/148.91 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.48/148.91 | % 214.48/148.91 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.48/148.91 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.48/148.91 | % 214.48/148.91 | Instantiating (1911) with all_376_0_687 yields: % 214.48/148.91 | (3111) (all_376_0_687 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_376_0_687 = 0 & mem(all_110_1_81, e) = 0) % 214.48/148.91 | % 214.60/148.91 +-Applying beta-rule and splitting (3062), into two cases. % 214.60/148.91 |-Branch one: % 214.60/148.91 | (3112) all_332_0_679 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3112) yields: % 214.60/148.91 | (3113) all_332_0_679 = 0 % 214.60/148.91 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.60/148.91 | (642) all_135_1_87 = all_0_6_6 % 214.60/148.91 | % 214.60/148.91 | From (642) and (231) follows: % 214.60/148.91 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.60/148.91 | % 214.60/148.91 +-Applying beta-rule and splitting (3079), into two cases. % 214.60/148.91 |-Branch one: % 214.60/148.91 | (3085) all_368_0_684 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3085) yields: % 214.60/148.91 | (3086) all_368_0_684 = 0 % 214.60/148.91 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.60/148.91 | (524) all_212_1_107 = all_0_6_6 % 214.60/148.91 | % 214.60/148.91 | From (524) and (286) follows: % 214.60/148.91 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.60/148.91 | (261) all_135_0_86 = 0 % 214.60/148.91 | % 214.60/148.91 | Equations (261) can reduce 230 to: % 214.60/148.91 | (175) $false % 214.60/148.91 | % 214.60/148.91 |-The branch is then unsatisfiable % 214.60/148.91 |-Branch two: % 214.60/148.91 | (3092) all_368_0_684 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3092) yields: % 214.60/148.91 | (3086) all_368_0_684 = 0 % 214.60/148.91 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.60/148.91 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.60/148.91 | % 214.60/148.91 | Instantiating (531) with all_395_0_688 yields: % 214.60/148.91 | (3128) (all_395_0_688 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_688 = 0 & mem(all_212_1_107, e) = 0) % 214.60/148.91 | % 214.60/148.91 +-Applying beta-rule and splitting (3128), into two cases. % 214.60/148.91 |-Branch one: % 214.60/148.91 | (3129) all_395_0_688 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3129) yields: % 214.60/148.91 | (3130) all_395_0_688 = 0 % 214.60/148.91 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.60/148.91 | (536) all_212_1_107 = e % 214.60/148.91 | % 214.60/148.91 | From (536) and (310) follows: % 214.60/148.91 | (537) mem(all_244_1_112, e) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.60/148.91 | (538) $false % 214.60/148.91 | % 214.60/148.91 |-The branch is then unsatisfiable % 214.60/148.91 |-Branch two: % 214.60/148.91 | (3135) all_395_0_688 = 0 & mem(all_212_1_107, e) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3135) yields: % 214.60/148.91 | (3130) all_395_0_688 = 0 % 214.60/148.91 | (541) mem(all_212_1_107, e) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.60/148.91 | (538) $false % 214.60/148.91 | % 214.60/148.91 |-The branch is then unsatisfiable % 214.60/148.91 |-Branch two: % 214.60/148.91 | (3139) all_332_0_679 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3139) yields: % 214.60/148.91 | (3113) all_332_0_679 = 0 % 214.60/148.91 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.60/148.91 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.60/148.91 | % 214.60/148.91 | Instantiating (669) with all_384_0_689 yields: % 214.60/148.91 | (3143) (all_384_0_689 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_384_0_689 = 0 & mem(all_135_1_87, e) = 0) % 214.60/148.91 | % 214.60/148.91 +-Applying beta-rule and splitting (3111), into two cases. % 214.60/148.91 |-Branch one: % 214.60/148.91 | (3144) all_376_0_687 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3144) yields: % 214.60/148.91 | (3145) all_376_0_687 = 0 % 214.60/148.91 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.60/148.91 | (1953) all_110_1_81 = e % 214.60/148.91 | % 214.60/148.91 | From (1953) and (210) follows: % 214.60/148.91 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.60/148.91 | % 214.60/148.91 +-Applying beta-rule and splitting (3143), into two cases. % 214.60/148.91 |-Branch one: % 214.60/148.91 | (3149) all_384_0_689 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3149) yields: % 214.60/148.91 | (3150) all_384_0_689 = 0 % 214.60/148.91 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.60/148.91 | (711) all_135_1_87 = e % 214.60/148.91 | % 214.60/148.91 | From (711) and (232) follows: % 214.60/148.91 | (1959) mem(e, all_74_1_69) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.60/148.91 | (233) all_110_0_80 = 0 % 214.60/148.91 | % 214.60/148.91 | Equations (233) can reduce 209 to: % 214.60/148.91 | (175) $false % 214.60/148.91 | % 214.60/148.91 |-The branch is then unsatisfiable % 214.60/148.91 |-Branch two: % 214.60/148.91 | (3156) all_384_0_689 = 0 & mem(all_135_1_87, e) = 0 % 214.60/148.91 | % 214.60/148.91 | Applying alpha-rule on (3156) yields: % 214.60/148.91 | (3150) all_384_0_689 = 0 % 214.60/148.91 | (726) mem(all_135_1_87, e) = 0 % 214.60/148.91 | % 214.60/148.91 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.60/148.91 | (538) $false % 214.60/148.91 | % 214.60/148.91 |-The branch is then unsatisfiable % 214.60/148.91 |-Branch two: % 214.60/148.92 | (3160) all_376_0_687 = 0 & mem(all_110_1_81, e) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3160) yields: % 214.60/148.92 | (3145) all_376_0_687 = 0 % 214.60/148.92 | (1968) mem(all_110_1_81, e) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.60/148.92 | (538) $false % 214.60/148.92 | % 214.60/148.92 |-The branch is then unsatisfiable % 214.60/148.92 |-Branch two: % 214.60/148.92 | (2839) all_300_0_631 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (2839) yields: % 214.60/148.92 | (2833) all_300_0_631 = 0 % 214.60/148.92 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 214.60/148.92 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 214.60/148.92 | % 214.60/148.92 | Instantiating (490) with all_340_0_697 yields: % 214.60/148.92 | (3168) (all_340_0_697 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_340_0_697 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 214.60/148.92 | % 214.60/148.92 +-Applying beta-rule and splitting (2944), into two cases. % 214.60/148.92 |-Branch one: % 214.60/148.92 | (2974) all_324_0_660 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (2974) yields: % 214.60/148.92 | (2975) all_324_0_660 = 0 % 214.60/148.92 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.60/148.92 | (1884) all_110_1_81 = all_0_6_6 % 214.60/148.92 | % 214.60/148.92 | From (1884) and (210) follows: % 214.60/148.92 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.60/148.92 | % 214.60/148.92 +-Applying beta-rule and splitting (3062), into two cases. % 214.60/148.92 |-Branch one: % 214.60/148.92 | (3112) all_332_0_679 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3112) yields: % 214.60/148.92 | (3113) all_332_0_679 = 0 % 214.60/148.92 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.60/148.92 | (642) all_135_1_87 = all_0_6_6 % 214.60/148.92 | % 214.60/148.92 | From (642) and (232) follows: % 214.60/148.92 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.60/148.92 | (233) all_110_0_80 = 0 % 214.60/148.92 | % 214.60/148.92 | Equations (233) can reduce 209 to: % 214.60/148.92 | (175) $false % 214.60/148.92 | % 214.60/148.92 |-The branch is then unsatisfiable % 214.60/148.92 |-Branch two: % 214.60/148.92 | (3139) all_332_0_679 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3139) yields: % 214.60/148.92 | (3113) all_332_0_679 = 0 % 214.60/148.92 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.60/148.92 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.60/148.92 | % 214.60/148.92 | Instantiating (669) with all_409_0_713 yields: % 214.60/148.92 | (3185) (all_409_0_713 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_409_0_713 = 0 & mem(all_135_1_87, e) = 0) % 214.60/148.92 | % 214.60/148.92 +-Applying beta-rule and splitting (3168), into two cases. % 214.60/148.92 |-Branch one: % 214.60/148.92 | (3186) all_340_0_697 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3186) yields: % 214.60/148.92 | (3187) all_340_0_697 = 0 % 214.60/148.92 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.60/148.92 | (519) all_181_1_101 = all_0_6_6 % 214.60/148.92 | % 214.60/148.92 | From (519) and (267) follows: % 214.60/148.92 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.60/148.92 | (233) all_110_0_80 = 0 % 214.60/148.92 | % 214.60/148.92 | Equations (233) can reduce 209 to: % 214.60/148.92 | (175) $false % 214.60/148.92 | % 214.60/148.92 |-The branch is then unsatisfiable % 214.60/148.92 |-Branch two: % 214.60/148.92 | (3193) all_340_0_697 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3193) yields: % 214.60/148.92 | (3187) all_340_0_697 = 0 % 214.60/148.92 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.60/148.92 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.60/148.92 | % 214.60/148.92 | Instantiating (546) with all_418_0_715 yields: % 214.60/148.92 | (3197) (all_418_0_715 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_418_0_715 = 0 & mem(all_181_1_101, e) = 0) % 214.60/148.92 | % 214.60/148.92 +-Applying beta-rule and splitting (3185), into two cases. % 214.60/148.92 |-Branch one: % 214.60/148.92 | (3198) all_409_0_713 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3198) yields: % 214.60/148.92 | (3199) all_409_0_713 = 0 % 214.60/148.92 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.60/148.92 | (711) all_135_1_87 = e % 214.60/148.92 | % 214.60/148.92 | From (711) and (231) follows: % 214.60/148.92 | (712) mem(e, all_99_1_77) = all_135_0_86 % 214.60/148.92 | % 214.60/148.92 +-Applying beta-rule and splitting (3197), into two cases. % 214.60/148.92 |-Branch one: % 214.60/148.92 | (3203) all_418_0_715 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3203) yields: % 214.60/148.92 | (3204) all_418_0_715 = 0 % 214.60/148.92 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.60/148.92 | (588) all_181_1_101 = e % 214.60/148.92 | % 214.60/148.92 | From (588) and (260) follows: % 214.60/148.92 | (717) mem(e, all_99_1_77) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 214.60/148.92 | (261) all_135_0_86 = 0 % 214.60/148.92 | % 214.60/148.92 | Equations (261) can reduce 230 to: % 214.60/148.92 | (175) $false % 214.60/148.92 | % 214.60/148.92 |-The branch is then unsatisfiable % 214.60/148.92 |-Branch two: % 214.60/148.92 | (3210) all_418_0_715 = 0 & mem(all_181_1_101, e) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3210) yields: % 214.60/148.92 | (3204) all_418_0_715 = 0 % 214.60/148.92 | (603) mem(all_181_1_101, e) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.60/148.92 | (538) $false % 214.60/148.92 | % 214.60/148.92 |-The branch is then unsatisfiable % 214.60/148.92 |-Branch two: % 214.60/148.92 | (3214) all_409_0_713 = 0 & mem(all_135_1_87, e) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3214) yields: % 214.60/148.92 | (3199) all_409_0_713 = 0 % 214.60/148.92 | (726) mem(all_135_1_87, e) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.60/148.92 | (538) $false % 214.60/148.92 | % 214.60/148.92 |-The branch is then unsatisfiable % 214.60/148.92 |-Branch two: % 214.60/148.92 | (3001) all_324_0_660 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3001) yields: % 214.60/148.92 | (2975) all_324_0_660 = 0 % 214.60/148.92 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.60/148.92 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.60/148.92 | % 214.60/148.92 | Instantiating (1911) with all_391_0_724 yields: % 214.60/148.92 | (3222) (all_391_0_724 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_391_0_724 = 0 & mem(all_110_1_81, e) = 0) % 214.60/148.92 | % 214.60/148.92 +-Applying beta-rule and splitting (3062), into two cases. % 214.60/148.92 |-Branch one: % 214.60/148.92 | (3112) all_332_0_679 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.60/148.92 | % 214.60/148.92 | Applying alpha-rule on (3112) yields: % 214.60/148.92 | (3113) all_332_0_679 = 0 % 214.60/148.92 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.60/148.92 | % 214.60/148.92 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.60/148.92 | (642) all_135_1_87 = all_0_6_6 % 214.60/148.92 | % 214.60/148.92 | From (642) and (231) follows: % 214.60/148.92 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.60/148.92 | % 214.60/148.92 +-Applying beta-rule and splitting (3168), into two cases. % 214.60/148.92 |-Branch one: % 214.60/148.93 | (3186) all_340_0_697 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.60/148.93 | % 214.60/148.93 | Applying alpha-rule on (3186) yields: % 214.60/148.93 | (3187) all_340_0_697 = 0 % 214.60/148.93 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.60/148.93 | % 214.60/148.93 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.60/148.93 | (519) all_181_1_101 = all_0_6_6 % 214.60/148.93 | % 214.60/148.93 | From (519) and (260) follows: % 214.60/148.93 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.60/148.93 | % 214.60/148.93 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.60/148.93 | (261) all_135_0_86 = 0 % 214.60/148.93 | % 214.60/148.93 | Equations (261) can reduce 230 to: % 214.60/148.93 | (175) $false % 214.60/148.93 | % 214.60/148.93 |-The branch is then unsatisfiable % 214.60/148.93 |-Branch two: % 214.60/148.93 | (3193) all_340_0_697 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.60/148.93 | % 214.60/148.93 | Applying alpha-rule on (3193) yields: % 214.60/148.93 | (3187) all_340_0_697 = 0 % 214.60/148.93 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.60/148.93 | % 214.60/148.93 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.60/148.93 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.60/148.93 | % 214.60/148.93 | Instantiating (546) with all_418_0_729 yields: % 214.60/148.93 | (3239) (all_418_0_729 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_418_0_729 = 0 & mem(all_181_1_101, e) = 0) % 214.60/148.93 | % 214.60/148.93 +-Applying beta-rule and splitting (3222), into two cases. % 214.60/148.93 |-Branch one: % 214.67/148.93 | (3240) all_391_0_724 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3240) yields: % 214.67/148.93 | (3241) all_391_0_724 = 0 % 214.67/148.93 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.67/148.93 | (1953) all_110_1_81 = e % 214.67/148.93 | % 214.67/148.93 | From (1953) and (210) follows: % 214.67/148.93 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.67/148.93 | % 214.67/148.93 +-Applying beta-rule and splitting (3239), into two cases. % 214.67/148.93 |-Branch one: % 214.67/148.93 | (3245) all_418_0_729 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3245) yields: % 214.67/148.93 | (3246) all_418_0_729 = 0 % 214.67/148.93 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.67/148.93 | (588) all_181_1_101 = e % 214.67/148.93 | % 214.67/148.93 | From (588) and (267) follows: % 214.67/148.93 | (1959) mem(e, all_74_1_69) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.67/148.93 | (233) all_110_0_80 = 0 % 214.67/148.93 | % 214.67/148.93 | Equations (233) can reduce 209 to: % 214.67/148.93 | (175) $false % 214.67/148.93 | % 214.67/148.93 |-The branch is then unsatisfiable % 214.67/148.93 |-Branch two: % 214.67/148.93 | (3252) all_418_0_729 = 0 & mem(all_181_1_101, e) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3252) yields: % 214.67/148.93 | (3246) all_418_0_729 = 0 % 214.67/148.93 | (603) mem(all_181_1_101, e) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.67/148.93 | (538) $false % 214.67/148.93 | % 214.67/148.93 |-The branch is then unsatisfiable % 214.67/148.93 |-Branch two: % 214.67/148.93 | (3256) all_391_0_724 = 0 & mem(all_110_1_81, e) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3256) yields: % 214.67/148.93 | (3241) all_391_0_724 = 0 % 214.67/148.93 | (1968) mem(all_110_1_81, e) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.67/148.93 | (538) $false % 214.67/148.93 | % 214.67/148.93 |-The branch is then unsatisfiable % 214.67/148.93 |-Branch two: % 214.67/148.93 | (3139) all_332_0_679 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3139) yields: % 214.67/148.93 | (3113) all_332_0_679 = 0 % 214.67/148.93 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.67/148.93 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.67/148.93 | % 214.67/148.93 | Instantiating (669) with all_406_0_730 yields: % 214.67/148.93 | (3264) (all_406_0_730 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_406_0_730 = 0 & mem(all_135_1_87, e) = 0) % 214.67/148.93 | % 214.67/148.93 +-Applying beta-rule and splitting (3222), into two cases. % 214.67/148.93 |-Branch one: % 214.67/148.93 | (3240) all_391_0_724 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3240) yields: % 214.67/148.93 | (3241) all_391_0_724 = 0 % 214.67/148.93 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.67/148.93 | (1953) all_110_1_81 = e % 214.67/148.93 | % 214.67/148.93 | From (1953) and (210) follows: % 214.67/148.93 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.67/148.93 | % 214.67/148.93 +-Applying beta-rule and splitting (3264), into two cases. % 214.67/148.93 |-Branch one: % 214.67/148.93 | (3270) all_406_0_730 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3270) yields: % 214.67/148.93 | (3271) all_406_0_730 = 0 % 214.67/148.93 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.67/148.93 | (711) all_135_1_87 = e % 214.67/148.93 | % 214.67/148.93 | From (711) and (232) follows: % 214.67/148.93 | (1959) mem(e, all_74_1_69) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.67/148.93 | (233) all_110_0_80 = 0 % 214.67/148.93 | % 214.67/148.93 | Equations (233) can reduce 209 to: % 214.67/148.93 | (175) $false % 214.67/148.93 | % 214.67/148.93 |-The branch is then unsatisfiable % 214.67/148.93 |-Branch two: % 214.67/148.93 | (3277) all_406_0_730 = 0 & mem(all_135_1_87, e) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3277) yields: % 214.67/148.93 | (3271) all_406_0_730 = 0 % 214.67/148.93 | (726) mem(all_135_1_87, e) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.67/148.93 | (538) $false % 214.67/148.93 | % 214.67/148.93 |-The branch is then unsatisfiable % 214.67/148.93 |-Branch two: % 214.67/148.93 | (3256) all_391_0_724 = 0 & mem(all_110_1_81, e) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (3256) yields: % 214.67/148.93 | (3241) all_391_0_724 = 0 % 214.67/148.93 | (1968) mem(all_110_1_81, e) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.67/148.93 | (538) $false % 214.67/148.93 | % 214.67/148.93 |-The branch is then unsatisfiable % 214.67/148.93 |-Branch two: % 214.67/148.93 | (434) all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (434) yields: % 214.67/148.93 | (404) all_259_0_114 = 0 % 214.67/148.93 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 214.67/148.93 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 214.67/148.93 | % 214.67/148.93 | Instantiating (437) with all_308_0_732 yields: % 214.67/148.93 | (3289) (all_308_0_732 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_732 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 214.67/148.93 | % 214.67/148.93 +-Applying beta-rule and splitting (1598), into two cases. % 214.67/148.93 |-Branch one: % 214.67/148.93 | (1717) all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (1717) yields: % 214.67/148.93 | (1718) all_273_0_379 = 0 % 214.67/148.93 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 214.67/148.93 | % 214.67/148.93 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 214.67/148.93 | (1720) all_110_1_81 = all_0_5_5 % 214.67/148.93 | % 214.67/148.93 | From (1720) and (210) follows: % 214.67/148.93 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 214.67/148.93 | % 214.67/148.93 +-Applying beta-rule and splitting (2206), into two cases. % 214.67/148.93 |-Branch one: % 214.67/148.93 | (2289) all_292_0_507 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 214.67/148.93 | % 214.67/148.93 | Applying alpha-rule on (2289) yields: % 214.67/148.94 | (2290) all_292_0_507 = 0 % 214.67/148.94 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 214.67/148.94 | (478) all_135_1_87 = all_0_5_5 % 214.67/148.94 | % 214.67/148.94 | From (478) and (232) follows: % 214.67/148.94 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.67/148.94 | (233) all_110_0_80 = 0 % 214.67/148.94 | % 214.67/148.94 | Equations (233) can reduce 209 to: % 214.67/148.94 | (175) $false % 214.67/148.94 | % 214.67/148.94 |-The branch is then unsatisfiable % 214.67/148.94 |-Branch two: % 214.67/148.94 | (2296) all_292_0_507 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (2296) yields: % 214.67/148.94 | (2290) all_292_0_507 = 0 % 214.67/148.94 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 214.67/148.94 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 214.67/148.94 | % 214.67/148.94 | Instantiating (608) with all_335_0_734 yields: % 214.67/148.94 | (3306) (all_335_0_734 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_734 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 214.67/148.94 | % 214.67/148.94 +-Applying beta-rule and splitting (2773), into two cases. % 214.67/148.94 |-Branch one: % 214.67/148.94 | (2832) all_300_0_631 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (2832) yields: % 214.67/148.94 | (2833) all_300_0_631 = 0 % 214.67/148.94 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 214.67/148.94 | (483) all_181_1_101 = all_0_5_5 % 214.67/148.94 | % 214.67/148.94 | From (483) and (267) follows: % 214.67/148.94 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.67/148.94 | (233) all_110_0_80 = 0 % 214.67/148.94 | % 214.67/148.94 | Equations (233) can reduce 209 to: % 214.67/148.94 | (175) $false % 214.67/148.94 | % 214.67/148.94 |-The branch is then unsatisfiable % 214.67/148.94 |-Branch two: % 214.67/148.94 | (2839) all_300_0_631 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (2839) yields: % 214.67/148.94 | (2833) all_300_0_631 = 0 % 214.67/148.94 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 214.67/148.94 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 214.67/148.94 | % 214.67/148.94 | Instantiating (490) with all_343_0_735 yields: % 214.67/148.94 | (3318) (all_343_0_735 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_735 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 214.67/148.94 | % 214.67/148.94 +-Applying beta-rule and splitting (3289), into two cases. % 214.67/148.94 |-Branch one: % 214.67/148.94 | (3319) all_308_0_732 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3319) yields: % 214.67/148.94 | (3320) all_308_0_732 = 0 % 214.67/148.94 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.67/148.94 | (495) all_165_2_96 = all_0_5_5 % 214.67/148.94 | % 214.67/148.94 | From (495) and (288) follows: % 214.67/148.94 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.67/148.94 | (233) all_110_0_80 = 0 % 214.67/148.94 | % 214.67/148.94 | Equations (233) can reduce 209 to: % 214.67/148.94 | (175) $false % 214.67/148.94 | % 214.67/148.94 |-The branch is then unsatisfiable % 214.67/148.94 |-Branch two: % 214.67/148.94 | (3326) all_308_0_732 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3326) yields: % 214.67/148.94 | (3320) all_308_0_732 = 0 % 214.67/148.94 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 214.67/148.94 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 214.67/148.94 | % 214.67/148.94 | Instantiating (502) with all_351_0_736 yields: % 214.67/148.94 | (3330) (all_351_0_736 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_736 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 214.67/148.94 | % 214.67/148.94 +-Applying beta-rule and splitting (3306), into two cases. % 214.67/148.94 |-Branch one: % 214.67/148.94 | (3331) all_335_0_734 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3331) yields: % 214.67/148.94 | (3332) all_335_0_734 = 0 % 214.67/148.94 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.67/148.94 | (642) all_135_1_87 = all_0_6_6 % 214.67/148.94 | % 214.67/148.94 | From (642) and (231) follows: % 214.67/148.94 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.67/148.94 | % 214.67/148.94 +-Applying beta-rule and splitting (3318), into two cases. % 214.67/148.94 |-Branch one: % 214.67/148.94 | (3336) all_343_0_735 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3336) yields: % 214.67/148.94 | (3337) all_343_0_735 = 0 % 214.67/148.94 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.67/148.94 | (519) all_181_1_101 = all_0_6_6 % 214.67/148.94 | % 214.67/148.94 | From (519) and (260) follows: % 214.67/148.94 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.67/148.94 | (261) all_135_0_86 = 0 % 214.67/148.94 | % 214.67/148.94 | Equations (261) can reduce 230 to: % 214.67/148.94 | (175) $false % 214.67/148.94 | % 214.67/148.94 |-The branch is then unsatisfiable % 214.67/148.94 |-Branch two: % 214.67/148.94 | (3343) all_343_0_735 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3343) yields: % 214.67/148.94 | (3337) all_343_0_735 = 0 % 214.67/148.94 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.67/148.94 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.67/148.94 | % 214.67/148.94 | Instantiating (546) with all_395_0_739 yields: % 214.67/148.94 | (3347) (all_395_0_739 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_395_0_739 = 0 & mem(all_181_1_101, e) = 0) % 214.67/148.94 | % 214.67/148.94 +-Applying beta-rule and splitting (3330), into two cases. % 214.67/148.94 |-Branch one: % 214.67/148.94 | (3348) all_351_0_736 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3348) yields: % 214.67/148.94 | (3349) all_351_0_736 = 0 % 214.67/148.94 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.67/148.94 | (551) all_165_2_96 = all_0_6_6 % 214.67/148.94 | % 214.67/148.94 | From (551) and (268) follows: % 214.67/148.94 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.67/148.94 | (261) all_135_0_86 = 0 % 214.67/148.94 | % 214.67/148.94 | Equations (261) can reduce 230 to: % 214.67/148.94 | (175) $false % 214.67/148.94 | % 214.67/148.94 |-The branch is then unsatisfiable % 214.67/148.94 |-Branch two: % 214.67/148.94 | (3355) all_351_0_736 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3355) yields: % 214.67/148.94 | (3349) all_351_0_736 = 0 % 214.67/148.94 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.67/148.94 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.67/148.94 | % 214.67/148.94 | Instantiating (583) with all_403_0_740 yields: % 214.67/148.94 | (3359) (all_403_0_740 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_740 = 0 & mem(all_165_2_96, e) = 0) % 214.67/148.94 | % 214.67/148.94 +-Applying beta-rule and splitting (3347), into two cases. % 214.67/148.94 |-Branch one: % 214.67/148.94 | (3360) all_395_0_739 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3360) yields: % 214.67/148.94 | (3361) all_395_0_739 = 0 % 214.67/148.94 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.67/148.94 | (588) all_181_1_101 = e % 214.67/148.94 | % 214.67/148.94 | From (588) and (259) follows: % 214.67/148.94 | (589) mem(e, all_129_1_85) = all_181_0_100 % 214.67/148.94 | % 214.67/148.94 +-Applying beta-rule and splitting (3359), into two cases. % 214.67/148.94 |-Branch one: % 214.67/148.94 | (3365) all_403_0_740 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3365) yields: % 214.67/148.94 | (3366) all_403_0_740 = 0 % 214.67/148.94 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.67/148.94 | (593) all_165_2_96 = e % 214.67/148.94 | % 214.67/148.94 | From (593) and (248) follows: % 214.67/148.94 | (594) mem(e, all_129_1_85) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 214.67/148.94 | (526) all_181_0_100 = 0 % 214.67/148.94 | % 214.67/148.94 | Equations (526) can reduce 258 to: % 214.67/148.94 | (175) $false % 214.67/148.94 | % 214.67/148.94 |-The branch is then unsatisfiable % 214.67/148.94 |-Branch two: % 214.67/148.94 | (3372) all_403_0_740 = 0 & mem(all_165_2_96, e) = 0 % 214.67/148.94 | % 214.67/148.94 | Applying alpha-rule on (3372) yields: % 214.67/148.94 | (3366) all_403_0_740 = 0 % 214.67/148.94 | (599) mem(all_165_2_96, e) = 0 % 214.67/148.94 | % 214.67/148.94 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.67/148.94 | (538) $false % 214.67/148.94 | % 214.67/148.94 |-The branch is then unsatisfiable % 214.67/148.94 |-Branch two: % 214.67/148.94 | (3376) all_395_0_739 = 0 & mem(all_181_1_101, e) = 0 % 214.67/148.94 | % 214.67/148.95 | Applying alpha-rule on (3376) yields: % 214.67/148.95 | (3361) all_395_0_739 = 0 % 214.67/148.95 | (603) mem(all_181_1_101, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.67/148.95 | (538) $false % 214.67/148.95 | % 214.67/148.95 |-The branch is then unsatisfiable % 214.67/148.95 |-Branch two: % 214.67/148.95 | (3380) all_335_0_734 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3380) yields: % 214.67/148.95 | (3332) all_335_0_734 = 0 % 214.67/148.95 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.67/148.95 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.67/148.95 | % 214.67/148.95 | Instantiating (669) with all_388_0_743 yields: % 214.67/148.95 | (3384) (all_388_0_743 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_388_0_743 = 0 & mem(all_135_1_87, e) = 0) % 214.67/148.95 | % 214.67/148.95 +-Applying beta-rule and splitting (3318), into two cases. % 214.67/148.95 |-Branch one: % 214.67/148.95 | (3336) all_343_0_735 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3336) yields: % 214.67/148.95 | (3337) all_343_0_735 = 0 % 214.67/148.95 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.67/148.95 | (519) all_181_1_101 = all_0_6_6 % 214.67/148.95 | % 214.67/148.95 | From (519) and (259) follows: % 214.67/148.95 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 214.67/148.95 | % 214.67/148.95 +-Applying beta-rule and splitting (3330), into two cases. % 214.67/148.95 |-Branch one: % 214.67/148.95 | (3348) all_351_0_736 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3348) yields: % 214.67/148.95 | (3349) all_351_0_736 = 0 % 214.67/148.95 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.67/148.95 | (551) all_165_2_96 = all_0_6_6 % 214.67/148.95 | % 214.67/148.95 | From (551) and (248) follows: % 214.67/148.95 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 214.67/148.95 | (526) all_181_0_100 = 0 % 214.67/148.95 | % 214.67/148.95 | Equations (526) can reduce 258 to: % 214.67/148.95 | (175) $false % 214.67/148.95 | % 214.67/148.95 |-The branch is then unsatisfiable % 214.67/148.95 |-Branch two: % 214.67/148.95 | (3355) all_351_0_736 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3355) yields: % 214.67/148.95 | (3349) all_351_0_736 = 0 % 214.67/148.95 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.67/148.95 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.67/148.95 | % 214.67/148.95 | Instantiating (583) with all_407_0_744 yields: % 214.67/148.95 | (3401) (all_407_0_744 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_744 = 0 & mem(all_165_2_96, e) = 0) % 214.67/148.95 | % 214.67/148.95 +-Applying beta-rule and splitting (3384), into two cases. % 214.67/148.95 |-Branch one: % 214.67/148.95 | (3402) all_388_0_743 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3402) yields: % 214.67/148.95 | (3403) all_388_0_743 = 0 % 214.67/148.95 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.67/148.95 | (711) all_135_1_87 = e % 214.67/148.95 | % 214.67/148.95 | From (711) and (231) follows: % 214.67/148.95 | (712) mem(e, all_99_1_77) = all_135_0_86 % 214.67/148.95 | % 214.67/148.95 +-Applying beta-rule and splitting (3401), into two cases. % 214.67/148.95 |-Branch one: % 214.67/148.95 | (3407) all_407_0_744 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3407) yields: % 214.67/148.95 | (3408) all_407_0_744 = 0 % 214.67/148.95 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.67/148.95 | (593) all_165_2_96 = e % 214.67/148.95 | % 214.67/148.95 | From (593) and (268) follows: % 214.67/148.95 | (717) mem(e, all_99_1_77) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 214.67/148.95 | (261) all_135_0_86 = 0 % 214.67/148.95 | % 214.67/148.95 | Equations (261) can reduce 230 to: % 214.67/148.95 | (175) $false % 214.67/148.95 | % 214.67/148.95 |-The branch is then unsatisfiable % 214.67/148.95 |-Branch two: % 214.67/148.95 | (3414) all_407_0_744 = 0 & mem(all_165_2_96, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3414) yields: % 214.67/148.95 | (3408) all_407_0_744 = 0 % 214.67/148.95 | (599) mem(all_165_2_96, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.67/148.95 | (538) $false % 214.67/148.95 | % 214.67/148.95 |-The branch is then unsatisfiable % 214.67/148.95 |-Branch two: % 214.67/148.95 | (3418) all_388_0_743 = 0 & mem(all_135_1_87, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3418) yields: % 214.67/148.95 | (3403) all_388_0_743 = 0 % 214.67/148.95 | (726) mem(all_135_1_87, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.67/148.95 | (538) $false % 214.67/148.95 | % 214.67/148.95 |-The branch is then unsatisfiable % 214.67/148.95 |-Branch two: % 214.67/148.95 | (3343) all_343_0_735 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3343) yields: % 214.67/148.95 | (3337) all_343_0_735 = 0 % 214.67/148.95 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.67/148.95 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.67/148.95 | % 214.67/148.95 | Instantiating (546) with all_396_0_745 yields: % 214.67/148.95 | (3426) (all_396_0_745 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_396_0_745 = 0 & mem(all_181_1_101, e) = 0) % 214.67/148.95 | % 214.67/148.95 +-Applying beta-rule and splitting (3384), into two cases. % 214.67/148.95 |-Branch one: % 214.67/148.95 | (3402) all_388_0_743 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3402) yields: % 214.67/148.95 | (3403) all_388_0_743 = 0 % 214.67/148.95 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.67/148.95 | (711) all_135_1_87 = e % 214.67/148.95 | % 214.67/148.95 | From (711) and (231) follows: % 214.67/148.95 | (712) mem(e, all_99_1_77) = all_135_0_86 % 214.67/148.95 | % 214.67/148.95 +-Applying beta-rule and splitting (3426), into two cases. % 214.67/148.95 |-Branch one: % 214.67/148.95 | (3432) all_396_0_745 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3432) yields: % 214.67/148.95 | (3433) all_396_0_745 = 0 % 214.67/148.95 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.67/148.95 | (588) all_181_1_101 = e % 214.67/148.95 | % 214.67/148.95 | From (588) and (260) follows: % 214.67/148.95 | (717) mem(e, all_99_1_77) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 214.67/148.95 | (261) all_135_0_86 = 0 % 214.67/148.95 | % 214.67/148.95 | Equations (261) can reduce 230 to: % 214.67/148.95 | (175) $false % 214.67/148.95 | % 214.67/148.95 |-The branch is then unsatisfiable % 214.67/148.95 |-Branch two: % 214.67/148.95 | (3439) all_396_0_745 = 0 & mem(all_181_1_101, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3439) yields: % 214.67/148.95 | (3433) all_396_0_745 = 0 % 214.67/148.95 | (603) mem(all_181_1_101, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.67/148.95 | (538) $false % 214.67/148.95 | % 214.67/148.95 |-The branch is then unsatisfiable % 214.67/148.95 |-Branch two: % 214.67/148.95 | (3418) all_388_0_743 = 0 & mem(all_135_1_87, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Applying alpha-rule on (3418) yields: % 214.67/148.95 | (3403) all_388_0_743 = 0 % 214.67/148.95 | (726) mem(all_135_1_87, e) = 0 % 214.67/148.95 | % 214.67/148.95 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.67/148.95 | (538) $false % 214.67/148.95 | % 214.67/148.95 |-The branch is then unsatisfiable % 214.67/148.96 |-Branch two: % 214.67/148.96 | (1847) all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (1847) yields: % 214.67/148.96 | (1718) all_273_0_379 = 0 % 214.67/148.96 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 214.67/148.96 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 214.67/148.96 | % 214.67/148.96 | Instantiating (1850) with all_324_0_754 yields: % 214.67/148.96 | (3451) (all_324_0_754 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_754 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 214.67/148.96 | % 214.67/148.96 +-Applying beta-rule and splitting (2206), into two cases. % 214.67/148.96 |-Branch one: % 214.67/148.96 | (2289) all_292_0_507 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (2289) yields: % 214.67/148.96 | (2290) all_292_0_507 = 0 % 214.67/148.96 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 214.67/148.96 | (478) all_135_1_87 = all_0_5_5 % 214.67/148.96 | % 214.67/148.96 | From (478) and (231) follows: % 214.67/148.96 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 214.67/148.96 | % 214.67/148.96 +-Applying beta-rule and splitting (2773), into two cases. % 214.67/148.96 |-Branch one: % 214.67/148.96 | (2832) all_300_0_631 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (2832) yields: % 214.67/148.96 | (2833) all_300_0_631 = 0 % 214.67/148.96 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 214.67/148.96 | (483) all_181_1_101 = all_0_5_5 % 214.67/148.96 | % 214.67/148.96 | From (483) and (260) follows: % 214.67/148.96 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 214.67/148.96 | (261) all_135_0_86 = 0 % 214.67/148.96 | % 214.67/148.96 | Equations (261) can reduce 230 to: % 214.67/148.96 | (175) $false % 214.67/148.96 | % 214.67/148.96 |-The branch is then unsatisfiable % 214.67/148.96 |-Branch two: % 214.67/148.96 | (2839) all_300_0_631 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (2839) yields: % 214.67/148.96 | (2833) all_300_0_631 = 0 % 214.67/148.96 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 214.67/148.96 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 214.67/148.96 | % 214.67/148.96 | Instantiating (490) with all_343_0_755 yields: % 214.67/148.96 | (3468) (all_343_0_755 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_755 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 214.67/148.96 | % 214.67/148.96 +-Applying beta-rule and splitting (3289), into two cases. % 214.67/148.96 |-Branch one: % 214.67/148.96 | (3319) all_308_0_732 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3319) yields: % 214.67/148.96 | (3320) all_308_0_732 = 0 % 214.67/148.96 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.67/148.96 | (495) all_165_2_96 = all_0_5_5 % 214.67/148.96 | % 214.67/148.96 | From (495) and (268) follows: % 214.67/148.96 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 214.67/148.96 | (261) all_135_0_86 = 0 % 214.67/148.96 | % 214.67/148.96 | Equations (261) can reduce 230 to: % 214.67/148.96 | (175) $false % 214.67/148.96 | % 214.67/148.96 |-The branch is then unsatisfiable % 214.67/148.96 |-Branch two: % 214.67/148.96 | (3326) all_308_0_732 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3326) yields: % 214.67/148.96 | (3320) all_308_0_732 = 0 % 214.67/148.96 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 214.67/148.96 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 214.67/148.96 | % 214.67/148.96 | Instantiating (502) with all_351_0_756 yields: % 214.67/148.96 | (3480) (all_351_0_756 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_756 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 214.67/148.96 | % 214.67/148.96 +-Applying beta-rule and splitting (3451), into two cases. % 214.67/148.96 |-Branch one: % 214.67/148.96 | (3481) all_324_0_754 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3481) yields: % 214.67/148.96 | (3482) all_324_0_754 = 0 % 214.67/148.96 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.67/148.96 | (1884) all_110_1_81 = all_0_6_6 % 214.67/148.96 | % 214.67/148.96 | From (1884) and (210) follows: % 214.67/148.96 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.67/148.96 | % 214.67/148.96 +-Applying beta-rule and splitting (3468), into two cases. % 214.67/148.96 |-Branch one: % 214.67/148.96 | (3486) all_343_0_755 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3486) yields: % 214.67/148.96 | (3487) all_343_0_755 = 0 % 214.67/148.96 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.67/148.96 | (519) all_181_1_101 = all_0_6_6 % 214.67/148.96 | % 214.67/148.96 | From (519) and (267) follows: % 214.67/148.96 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.67/148.96 | (233) all_110_0_80 = 0 % 214.67/148.96 | % 214.67/148.96 | Equations (233) can reduce 209 to: % 214.67/148.96 | (175) $false % 214.67/148.96 | % 214.67/148.96 |-The branch is then unsatisfiable % 214.67/148.96 |-Branch two: % 214.67/148.96 | (3493) all_343_0_755 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3493) yields: % 214.67/148.96 | (3487) all_343_0_755 = 0 % 214.67/148.96 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.67/148.96 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.67/148.96 | % 214.67/148.96 | Instantiating (546) with all_395_0_759 yields: % 214.67/148.96 | (3497) (all_395_0_759 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_395_0_759 = 0 & mem(all_181_1_101, e) = 0) % 214.67/148.96 | % 214.67/148.96 +-Applying beta-rule and splitting (3480), into two cases. % 214.67/148.96 |-Branch one: % 214.67/148.96 | (3498) all_351_0_756 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3498) yields: % 214.67/148.96 | (3499) all_351_0_756 = 0 % 214.67/148.96 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.67/148.96 | (551) all_165_2_96 = all_0_6_6 % 214.67/148.96 | % 214.67/148.96 | From (551) and (288) follows: % 214.67/148.96 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.67/148.96 | (233) all_110_0_80 = 0 % 214.67/148.96 | % 214.67/148.96 | Equations (233) can reduce 209 to: % 214.67/148.96 | (175) $false % 214.67/148.96 | % 214.67/148.96 |-The branch is then unsatisfiable % 214.67/148.96 |-Branch two: % 214.67/148.96 | (3505) all_351_0_756 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3505) yields: % 214.67/148.96 | (3499) all_351_0_756 = 0 % 214.67/148.96 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.67/148.96 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.67/148.96 | % 214.67/148.96 | Instantiating (583) with all_403_0_760 yields: % 214.67/148.96 | (3509) (all_403_0_760 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_760 = 0 & mem(all_165_2_96, e) = 0) % 214.67/148.96 | % 214.67/148.96 +-Applying beta-rule and splitting (3497), into two cases. % 214.67/148.96 |-Branch one: % 214.67/148.96 | (3510) all_395_0_759 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3510) yields: % 214.67/148.96 | (3511) all_395_0_759 = 0 % 214.67/148.96 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.67/148.96 | (588) all_181_1_101 = e % 214.67/148.96 | % 214.67/148.96 | From (588) and (259) follows: % 214.67/148.96 | (589) mem(e, all_129_1_85) = all_181_0_100 % 214.67/148.96 | % 214.67/148.96 +-Applying beta-rule and splitting (3509), into two cases. % 214.67/148.96 |-Branch one: % 214.67/148.96 | (3515) all_403_0_760 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.96 | % 214.67/148.96 | Applying alpha-rule on (3515) yields: % 214.67/148.96 | (3516) all_403_0_760 = 0 % 214.67/148.96 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.96 | % 214.67/148.96 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.67/148.96 | (593) all_165_2_96 = e % 214.67/148.97 | % 214.67/148.97 | From (593) and (248) follows: % 214.67/148.97 | (594) mem(e, all_129_1_85) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 214.67/148.97 | (526) all_181_0_100 = 0 % 214.67/148.97 | % 214.67/148.97 | Equations (526) can reduce 258 to: % 214.67/148.97 | (175) $false % 214.67/148.97 | % 214.67/148.97 |-The branch is then unsatisfiable % 214.67/148.97 |-Branch two: % 214.67/148.97 | (3522) all_403_0_760 = 0 & mem(all_165_2_96, e) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3522) yields: % 214.67/148.97 | (3516) all_403_0_760 = 0 % 214.67/148.97 | (599) mem(all_165_2_96, e) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.67/148.97 | (538) $false % 214.67/148.97 | % 214.67/148.97 |-The branch is then unsatisfiable % 214.67/148.97 |-Branch two: % 214.67/148.97 | (3526) all_395_0_759 = 0 & mem(all_181_1_101, e) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3526) yields: % 214.67/148.97 | (3511) all_395_0_759 = 0 % 214.67/148.97 | (603) mem(all_181_1_101, e) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.67/148.97 | (538) $false % 214.67/148.97 | % 214.67/148.97 |-The branch is then unsatisfiable % 214.67/148.97 |-Branch two: % 214.67/148.97 | (3530) all_324_0_754 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3530) yields: % 214.67/148.97 | (3482) all_324_0_754 = 0 % 214.67/148.97 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.67/148.97 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.67/148.97 | % 214.67/148.97 | Instantiating (1911) with all_388_0_763 yields: % 214.67/148.97 | (3534) (all_388_0_763 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_388_0_763 = 0 & mem(all_110_1_81, e) = 0) % 214.67/148.97 | % 214.67/148.97 +-Applying beta-rule and splitting (3468), into two cases. % 214.67/148.97 |-Branch one: % 214.67/148.97 | (3486) all_343_0_755 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3486) yields: % 214.67/148.97 | (3487) all_343_0_755 = 0 % 214.67/148.97 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.67/148.97 | (519) all_181_1_101 = all_0_6_6 % 214.67/148.97 | % 214.67/148.97 | From (519) and (259) follows: % 214.67/148.97 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 214.67/148.97 | % 214.67/148.97 +-Applying beta-rule and splitting (3480), into two cases. % 214.67/148.97 |-Branch one: % 214.67/148.97 | (3498) all_351_0_756 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3498) yields: % 214.67/148.97 | (3499) all_351_0_756 = 0 % 214.67/148.97 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.67/148.97 | (551) all_165_2_96 = all_0_6_6 % 214.67/148.97 | % 214.67/148.97 | From (551) and (248) follows: % 214.67/148.97 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 214.67/148.97 | (526) all_181_0_100 = 0 % 214.67/148.97 | % 214.67/148.97 | Equations (526) can reduce 258 to: % 214.67/148.97 | (175) $false % 214.67/148.97 | % 214.67/148.97 |-The branch is then unsatisfiable % 214.67/148.97 |-Branch two: % 214.67/148.97 | (3505) all_351_0_756 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3505) yields: % 214.67/148.97 | (3499) all_351_0_756 = 0 % 214.67/148.97 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.67/148.97 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.67/148.97 | % 214.67/148.97 | Instantiating (583) with all_407_0_764 yields: % 214.67/148.97 | (3551) (all_407_0_764 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_764 = 0 & mem(all_165_2_96, e) = 0) % 214.67/148.97 | % 214.67/148.97 +-Applying beta-rule and splitting (3534), into two cases. % 214.67/148.97 |-Branch one: % 214.67/148.97 | (3552) all_388_0_763 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3552) yields: % 214.67/148.97 | (3553) all_388_0_763 = 0 % 214.67/148.97 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.67/148.97 | (1953) all_110_1_81 = e % 214.67/148.97 | % 214.67/148.97 | From (1953) and (210) follows: % 214.67/148.97 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.67/148.97 | % 214.67/148.97 +-Applying beta-rule and splitting (3551), into two cases. % 214.67/148.97 |-Branch one: % 214.67/148.97 | (3557) all_407_0_764 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3557) yields: % 214.67/148.97 | (3558) all_407_0_764 = 0 % 214.67/148.97 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.67/148.97 | (593) all_165_2_96 = e % 214.67/148.97 | % 214.67/148.97 | From (593) and (288) follows: % 214.67/148.97 | (1959) mem(e, all_74_1_69) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.67/148.97 | (233) all_110_0_80 = 0 % 214.67/148.97 | % 214.67/148.97 | Equations (233) can reduce 209 to: % 214.67/148.97 | (175) $false % 214.67/148.97 | % 214.67/148.97 |-The branch is then unsatisfiable % 214.67/148.97 |-Branch two: % 214.67/148.97 | (3564) all_407_0_764 = 0 & mem(all_165_2_96, e) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3564) yields: % 214.67/148.97 | (3558) all_407_0_764 = 0 % 214.67/148.97 | (599) mem(all_165_2_96, e) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.67/148.97 | (538) $false % 214.67/148.97 | % 214.67/148.97 |-The branch is then unsatisfiable % 214.67/148.97 |-Branch two: % 214.67/148.97 | (3568) all_388_0_763 = 0 & mem(all_110_1_81, e) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3568) yields: % 214.67/148.97 | (3553) all_388_0_763 = 0 % 214.67/148.97 | (1968) mem(all_110_1_81, e) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.67/148.97 | (538) $false % 214.67/148.97 | % 214.67/148.97 |-The branch is then unsatisfiable % 214.67/148.97 |-Branch two: % 214.67/148.97 | (3493) all_343_0_755 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3493) yields: % 214.67/148.97 | (3487) all_343_0_755 = 0 % 214.67/148.97 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.67/148.97 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.67/148.97 | % 214.67/148.97 | Instantiating (546) with all_396_0_765 yields: % 214.67/148.97 | (3576) (all_396_0_765 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_396_0_765 = 0 & mem(all_181_1_101, e) = 0) % 214.67/148.97 | % 214.67/148.97 +-Applying beta-rule and splitting (3534), into two cases. % 214.67/148.97 |-Branch one: % 214.67/148.97 | (3552) all_388_0_763 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3552) yields: % 214.67/148.97 | (3553) all_388_0_763 = 0 % 214.67/148.97 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.67/148.97 | (1953) all_110_1_81 = e % 214.67/148.97 | % 214.67/148.97 | From (1953) and (210) follows: % 214.67/148.97 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.67/148.97 | % 214.67/148.97 +-Applying beta-rule and splitting (3576), into two cases. % 214.67/148.97 |-Branch one: % 214.67/148.97 | (3582) all_396_0_765 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.97 | % 214.67/148.97 | Applying alpha-rule on (3582) yields: % 214.67/148.97 | (3583) all_396_0_765 = 0 % 214.67/148.97 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.67/148.97 | % 214.67/148.97 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.67/148.97 | (588) all_181_1_101 = e % 214.67/148.97 | % 214.67/148.97 | From (588) and (267) follows: % 214.67/148.98 | (1959) mem(e, all_74_1_69) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.67/148.98 | (233) all_110_0_80 = 0 % 214.67/148.98 | % 214.67/148.98 | Equations (233) can reduce 209 to: % 214.67/148.98 | (175) $false % 214.67/148.98 | % 214.67/148.98 |-The branch is then unsatisfiable % 214.67/148.98 |-Branch two: % 214.67/148.98 | (3589) all_396_0_765 = 0 & mem(all_181_1_101, e) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3589) yields: % 214.67/148.98 | (3583) all_396_0_765 = 0 % 214.67/148.98 | (603) mem(all_181_1_101, e) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.67/148.98 | (538) $false % 214.67/148.98 | % 214.67/148.98 |-The branch is then unsatisfiable % 214.67/148.98 |-Branch two: % 214.67/148.98 | (3568) all_388_0_763 = 0 & mem(all_110_1_81, e) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3568) yields: % 214.67/148.98 | (3553) all_388_0_763 = 0 % 214.67/148.98 | (1968) mem(all_110_1_81, e) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.67/148.98 | (538) $false % 214.67/148.98 | % 214.67/148.98 |-The branch is then unsatisfiable % 214.67/148.98 |-Branch two: % 214.67/148.98 | (2296) all_292_0_507 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (2296) yields: % 214.67/148.98 | (2290) all_292_0_507 = 0 % 214.67/148.98 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 214.67/148.98 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 214.67/148.98 | % 214.67/148.98 | Instantiating (608) with all_332_0_774 yields: % 214.67/148.98 | (3601) (all_332_0_774 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_774 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 214.67/148.98 | % 214.67/148.98 +-Applying beta-rule and splitting (2773), into two cases. % 214.67/148.98 |-Branch one: % 214.67/148.98 | (2832) all_300_0_631 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (2832) yields: % 214.67/148.98 | (2833) all_300_0_631 = 0 % 214.67/148.98 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 214.67/148.98 | (483) all_181_1_101 = all_0_5_5 % 214.67/148.98 | % 214.67/148.98 | From (483) and (259) follows: % 214.67/148.98 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 214.67/148.98 | % 214.67/148.98 +-Applying beta-rule and splitting (3289), into two cases. % 214.67/148.98 |-Branch one: % 214.67/148.98 | (3319) all_308_0_732 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3319) yields: % 214.67/148.98 | (3320) all_308_0_732 = 0 % 214.67/148.98 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.67/148.98 | (495) all_165_2_96 = all_0_5_5 % 214.67/148.98 | % 214.67/148.98 | From (495) and (248) follows: % 214.67/148.98 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 214.67/148.98 | (526) all_181_0_100 = 0 % 214.67/148.98 | % 214.67/148.98 | Equations (526) can reduce 258 to: % 214.67/148.98 | (175) $false % 214.67/148.98 | % 214.67/148.98 |-The branch is then unsatisfiable % 214.67/148.98 |-Branch two: % 214.67/148.98 | (3326) all_308_0_732 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3326) yields: % 214.67/148.98 | (3320) all_308_0_732 = 0 % 214.67/148.98 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 214.67/148.98 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 214.67/148.98 | % 214.67/148.98 | Instantiating (502) with all_351_0_775 yields: % 214.67/148.98 | (3618) (all_351_0_775 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_775 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 214.67/148.98 | % 214.67/148.98 +-Applying beta-rule and splitting (3451), into two cases. % 214.67/148.98 |-Branch one: % 214.67/148.98 | (3481) all_324_0_754 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3481) yields: % 214.67/148.98 | (3482) all_324_0_754 = 0 % 214.67/148.98 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.67/148.98 | (1884) all_110_1_81 = all_0_6_6 % 214.67/148.98 | % 214.67/148.98 | From (1884) and (210) follows: % 214.67/148.98 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.67/148.98 | % 214.67/148.98 +-Applying beta-rule and splitting (3601), into two cases. % 214.67/148.98 |-Branch one: % 214.67/148.98 | (3624) all_332_0_774 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3624) yields: % 214.67/148.98 | (3625) all_332_0_774 = 0 % 214.67/148.98 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.67/148.98 | (642) all_135_1_87 = all_0_6_6 % 214.67/148.98 | % 214.67/148.98 | From (642) and (232) follows: % 214.67/148.98 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.67/148.98 | (233) all_110_0_80 = 0 % 214.67/148.98 | % 214.67/148.98 | Equations (233) can reduce 209 to: % 214.67/148.98 | (175) $false % 214.67/148.98 | % 214.67/148.98 |-The branch is then unsatisfiable % 214.67/148.98 |-Branch two: % 214.67/148.98 | (3631) all_332_0_774 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3631) yields: % 214.67/148.98 | (3625) all_332_0_774 = 0 % 214.67/148.98 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.67/148.98 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.67/148.98 | % 214.67/148.98 | Instantiating (669) with all_395_0_778 yields: % 214.67/148.98 | (3635) (all_395_0_778 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_395_0_778 = 0 & mem(all_135_1_87, e) = 0) % 214.67/148.98 | % 214.67/148.98 +-Applying beta-rule and splitting (3618), into two cases. % 214.67/148.98 |-Branch one: % 214.67/148.98 | (3636) all_351_0_775 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3636) yields: % 214.67/148.98 | (3637) all_351_0_775 = 0 % 214.67/148.98 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.67/148.98 | (551) all_165_2_96 = all_0_6_6 % 214.67/148.98 | % 214.67/148.98 | From (551) and (288) follows: % 214.67/148.98 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.67/148.98 | (233) all_110_0_80 = 0 % 214.67/148.98 | % 214.67/148.98 | Equations (233) can reduce 209 to: % 214.67/148.98 | (175) $false % 214.67/148.98 | % 214.67/148.98 |-The branch is then unsatisfiable % 214.67/148.98 |-Branch two: % 214.67/148.98 | (3643) all_351_0_775 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3643) yields: % 214.67/148.98 | (3637) all_351_0_775 = 0 % 214.67/148.98 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.67/148.98 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.67/148.98 | % 214.67/148.98 | Instantiating (583) with all_403_0_779 yields: % 214.67/148.98 | (3647) (all_403_0_779 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_779 = 0 & mem(all_165_2_96, e) = 0) % 214.67/148.98 | % 214.67/148.98 +-Applying beta-rule and splitting (3635), into two cases. % 214.67/148.98 |-Branch one: % 214.67/148.98 | (3648) all_395_0_778 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3648) yields: % 214.67/148.98 | (3649) all_395_0_778 = 0 % 214.67/148.98 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.67/148.98 | (711) all_135_1_87 = e % 214.67/148.98 | % 214.67/148.98 | From (711) and (231) follows: % 214.67/148.98 | (712) mem(e, all_99_1_77) = all_135_0_86 % 214.67/148.98 | % 214.67/148.98 +-Applying beta-rule and splitting (3647), into two cases. % 214.67/148.98 |-Branch one: % 214.67/148.98 | (3653) all_403_0_779 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.98 | % 214.67/148.98 | Applying alpha-rule on (3653) yields: % 214.67/148.98 | (3654) all_403_0_779 = 0 % 214.67/148.98 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.98 | % 214.67/148.98 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.67/148.98 | (593) all_165_2_96 = e % 214.67/148.98 | % 214.67/148.98 | From (593) and (268) follows: % 214.67/148.98 | (717) mem(e, all_99_1_77) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 214.67/148.99 | (261) all_135_0_86 = 0 % 214.67/148.99 | % 214.67/148.99 | Equations (261) can reduce 230 to: % 214.67/148.99 | (175) $false % 214.67/148.99 | % 214.67/148.99 |-The branch is then unsatisfiable % 214.67/148.99 |-Branch two: % 214.67/148.99 | (3660) all_403_0_779 = 0 & mem(all_165_2_96, e) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3660) yields: % 214.67/148.99 | (3654) all_403_0_779 = 0 % 214.67/148.99 | (599) mem(all_165_2_96, e) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.67/148.99 | (538) $false % 214.67/148.99 | % 214.67/148.99 |-The branch is then unsatisfiable % 214.67/148.99 |-Branch two: % 214.67/148.99 | (3664) all_395_0_778 = 0 & mem(all_135_1_87, e) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3664) yields: % 214.67/148.99 | (3649) all_395_0_778 = 0 % 214.67/148.99 | (726) mem(all_135_1_87, e) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.67/148.99 | (538) $false % 214.67/148.99 | % 214.67/148.99 |-The branch is then unsatisfiable % 214.67/148.99 |-Branch two: % 214.67/148.99 | (3530) all_324_0_754 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3530) yields: % 214.67/148.99 | (3482) all_324_0_754 = 0 % 214.67/148.99 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.67/148.99 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.67/148.99 | % 214.67/148.99 | Instantiating (1911) with all_388_0_782 yields: % 214.67/148.99 | (3672) (all_388_0_782 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_388_0_782 = 0 & mem(all_110_1_81, e) = 0) % 214.67/148.99 | % 214.67/148.99 +-Applying beta-rule and splitting (3601), into two cases. % 214.67/148.99 |-Branch one: % 214.67/148.99 | (3624) all_332_0_774 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3624) yields: % 214.67/148.99 | (3625) all_332_0_774 = 0 % 214.67/148.99 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.67/148.99 | (642) all_135_1_87 = all_0_6_6 % 214.67/148.99 | % 214.67/148.99 | From (642) and (231) follows: % 214.67/148.99 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.67/148.99 | % 214.67/148.99 +-Applying beta-rule and splitting (3618), into two cases. % 214.67/148.99 |-Branch one: % 214.67/148.99 | (3636) all_351_0_775 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3636) yields: % 214.67/148.99 | (3637) all_351_0_775 = 0 % 214.67/148.99 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.67/148.99 | (551) all_165_2_96 = all_0_6_6 % 214.67/148.99 | % 214.67/148.99 | From (551) and (268) follows: % 214.67/148.99 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.67/148.99 | (261) all_135_0_86 = 0 % 214.67/148.99 | % 214.67/148.99 | Equations (261) can reduce 230 to: % 214.67/148.99 | (175) $false % 214.67/148.99 | % 214.67/148.99 |-The branch is then unsatisfiable % 214.67/148.99 |-Branch two: % 214.67/148.99 | (3643) all_351_0_775 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3643) yields: % 214.67/148.99 | (3637) all_351_0_775 = 0 % 214.67/148.99 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.67/148.99 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.67/148.99 | % 214.67/148.99 | Instantiating (583) with all_407_0_783 yields: % 214.67/148.99 | (3689) (all_407_0_783 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_783 = 0 & mem(all_165_2_96, e) = 0) % 214.67/148.99 | % 214.67/148.99 +-Applying beta-rule and splitting (3672), into two cases. % 214.67/148.99 |-Branch one: % 214.67/148.99 | (3690) all_388_0_782 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3690) yields: % 214.67/148.99 | (3691) all_388_0_782 = 0 % 214.67/148.99 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.67/148.99 | (1953) all_110_1_81 = e % 214.67/148.99 | % 214.67/148.99 | From (1953) and (210) follows: % 214.67/148.99 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.67/148.99 | % 214.67/148.99 +-Applying beta-rule and splitting (3689), into two cases. % 214.67/148.99 |-Branch one: % 214.67/148.99 | (3695) all_407_0_783 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3695) yields: % 214.67/148.99 | (3696) all_407_0_783 = 0 % 214.67/148.99 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.67/148.99 | (593) all_165_2_96 = e % 214.67/148.99 | % 214.67/148.99 | From (593) and (288) follows: % 214.67/148.99 | (1959) mem(e, all_74_1_69) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.67/148.99 | (233) all_110_0_80 = 0 % 214.67/148.99 | % 214.67/148.99 | Equations (233) can reduce 209 to: % 214.67/148.99 | (175) $false % 214.67/148.99 | % 214.67/148.99 |-The branch is then unsatisfiable % 214.67/148.99 |-Branch two: % 214.67/148.99 | (3702) all_407_0_783 = 0 & mem(all_165_2_96, e) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3702) yields: % 214.67/148.99 | (3696) all_407_0_783 = 0 % 214.67/148.99 | (599) mem(all_165_2_96, e) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.67/148.99 | (538) $false % 214.67/148.99 | % 214.67/148.99 |-The branch is then unsatisfiable % 214.67/148.99 |-Branch two: % 214.67/148.99 | (3706) all_388_0_782 = 0 & mem(all_110_1_81, e) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3706) yields: % 214.67/148.99 | (3691) all_388_0_782 = 0 % 214.67/148.99 | (1968) mem(all_110_1_81, e) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.67/148.99 | (538) $false % 214.67/148.99 | % 214.67/148.99 |-The branch is then unsatisfiable % 214.67/148.99 |-Branch two: % 214.67/148.99 | (3631) all_332_0_774 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3631) yields: % 214.67/148.99 | (3625) all_332_0_774 = 0 % 214.67/148.99 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.67/148.99 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.67/148.99 | % 214.67/148.99 | Instantiating (669) with all_396_0_784 yields: % 214.67/148.99 | (3714) (all_396_0_784 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_396_0_784 = 0 & mem(all_135_1_87, e) = 0) % 214.67/148.99 | % 214.67/148.99 +-Applying beta-rule and splitting (3672), into two cases. % 214.67/148.99 |-Branch one: % 214.67/148.99 | (3690) all_388_0_782 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3690) yields: % 214.67/148.99 | (3691) all_388_0_782 = 0 % 214.67/148.99 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.67/148.99 | % 214.67/148.99 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.67/148.99 | (1953) all_110_1_81 = e % 214.67/148.99 | % 214.67/148.99 | From (1953) and (210) follows: % 214.67/148.99 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.67/148.99 | % 214.67/148.99 +-Applying beta-rule and splitting (3714), into two cases. % 214.67/148.99 |-Branch one: % 214.67/148.99 | (3720) all_396_0_784 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.67/148.99 | % 214.67/148.99 | Applying alpha-rule on (3720) yields: % 214.67/148.99 | (3721) all_396_0_784 = 0 % 214.67/148.99 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.67/149.00 | (711) all_135_1_87 = e % 214.67/149.00 | % 214.67/149.00 | From (711) and (232) follows: % 214.67/149.00 | (1959) mem(e, all_74_1_69) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.67/149.00 | (233) all_110_0_80 = 0 % 214.67/149.00 | % 214.67/149.00 | Equations (233) can reduce 209 to: % 214.67/149.00 | (175) $false % 214.67/149.00 | % 214.67/149.00 |-The branch is then unsatisfiable % 214.67/149.00 |-Branch two: % 214.67/149.00 | (3727) all_396_0_784 = 0 & mem(all_135_1_87, e) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3727) yields: % 214.67/149.00 | (3721) all_396_0_784 = 0 % 214.67/149.00 | (726) mem(all_135_1_87, e) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.67/149.00 | (538) $false % 214.67/149.00 | % 214.67/149.00 |-The branch is then unsatisfiable % 214.67/149.00 |-Branch two: % 214.67/149.00 | (3706) all_388_0_782 = 0 & mem(all_110_1_81, e) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3706) yields: % 214.67/149.00 | (3691) all_388_0_782 = 0 % 214.67/149.00 | (1968) mem(all_110_1_81, e) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.67/149.00 | (538) $false % 214.67/149.00 | % 214.67/149.00 |-The branch is then unsatisfiable % 214.67/149.00 |-Branch two: % 214.67/149.00 | (2839) all_300_0_631 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (2839) yields: % 214.67/149.00 | (2833) all_300_0_631 = 0 % 214.67/149.00 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 214.67/149.00 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 214.67/149.00 | % 214.67/149.00 | Instantiating (490) with all_340_0_793 yields: % 214.67/149.00 | (3739) (all_340_0_793 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_340_0_793 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 214.67/149.00 | % 214.67/149.00 +-Applying beta-rule and splitting (3451), into two cases. % 214.67/149.00 |-Branch one: % 214.67/149.00 | (3481) all_324_0_754 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3481) yields: % 214.67/149.00 | (3482) all_324_0_754 = 0 % 214.67/149.00 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.67/149.00 | (1884) all_110_1_81 = all_0_6_6 % 214.67/149.00 | % 214.67/149.00 | From (1884) and (210) follows: % 214.67/149.00 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.67/149.00 | % 214.67/149.00 +-Applying beta-rule and splitting (3601), into two cases. % 214.67/149.00 |-Branch one: % 214.67/149.00 | (3624) all_332_0_774 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3624) yields: % 214.67/149.00 | (3625) all_332_0_774 = 0 % 214.67/149.00 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.67/149.00 | (642) all_135_1_87 = all_0_6_6 % 214.67/149.00 | % 214.67/149.00 | From (642) and (232) follows: % 214.67/149.00 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.67/149.00 | (233) all_110_0_80 = 0 % 214.67/149.00 | % 214.67/149.00 | Equations (233) can reduce 209 to: % 214.67/149.00 | (175) $false % 214.67/149.00 | % 214.67/149.00 |-The branch is then unsatisfiable % 214.67/149.00 |-Branch two: % 214.67/149.00 | (3631) all_332_0_774 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3631) yields: % 214.67/149.00 | (3625) all_332_0_774 = 0 % 214.67/149.00 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.67/149.00 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.67/149.00 | % 214.67/149.00 | Instantiating (669) with all_392_0_805 yields: % 214.67/149.00 | (3756) (all_392_0_805 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_392_0_805 = 0 & mem(all_135_1_87, e) = 0) % 214.67/149.00 | % 214.67/149.00 +-Applying beta-rule and splitting (3739), into two cases. % 214.67/149.00 |-Branch one: % 214.67/149.00 | (3757) all_340_0_793 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3757) yields: % 214.67/149.00 | (3758) all_340_0_793 = 0 % 214.67/149.00 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.67/149.00 | (519) all_181_1_101 = all_0_6_6 % 214.67/149.00 | % 214.67/149.00 | From (519) and (267) follows: % 214.67/149.00 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.67/149.00 | (233) all_110_0_80 = 0 % 214.67/149.00 | % 214.67/149.00 | Equations (233) can reduce 209 to: % 214.67/149.00 | (175) $false % 214.67/149.00 | % 214.67/149.00 |-The branch is then unsatisfiable % 214.67/149.00 |-Branch two: % 214.67/149.00 | (3764) all_340_0_793 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3764) yields: % 214.67/149.00 | (3758) all_340_0_793 = 0 % 214.67/149.00 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.67/149.00 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.67/149.00 | % 214.67/149.00 | Instantiating (546) with all_400_0_806 yields: % 214.67/149.00 | (3768) (all_400_0_806 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_400_0_806 = 0 & mem(all_181_1_101, e) = 0) % 214.67/149.00 | % 214.67/149.00 +-Applying beta-rule and splitting (3756), into two cases. % 214.67/149.00 |-Branch one: % 214.67/149.00 | (3769) all_392_0_805 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3769) yields: % 214.67/149.00 | (3770) all_392_0_805 = 0 % 214.67/149.00 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.67/149.00 | (711) all_135_1_87 = e % 214.67/149.00 | % 214.67/149.00 | From (711) and (231) follows: % 214.67/149.00 | (712) mem(e, all_99_1_77) = all_135_0_86 % 214.67/149.00 | % 214.67/149.00 +-Applying beta-rule and splitting (3768), into two cases. % 214.67/149.00 |-Branch one: % 214.67/149.00 | (3774) all_400_0_806 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3774) yields: % 214.67/149.00 | (3775) all_400_0_806 = 0 % 214.67/149.00 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.67/149.00 | (588) all_181_1_101 = e % 214.67/149.00 | % 214.67/149.00 | From (588) and (260) follows: % 214.67/149.00 | (717) mem(e, all_99_1_77) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 214.67/149.00 | (261) all_135_0_86 = 0 % 214.67/149.00 | % 214.67/149.00 | Equations (261) can reduce 230 to: % 214.67/149.00 | (175) $false % 214.67/149.00 | % 214.67/149.00 |-The branch is then unsatisfiable % 214.67/149.00 |-Branch two: % 214.67/149.00 | (3781) all_400_0_806 = 0 & mem(all_181_1_101, e) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3781) yields: % 214.67/149.00 | (3775) all_400_0_806 = 0 % 214.67/149.00 | (603) mem(all_181_1_101, e) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.67/149.00 | (538) $false % 214.67/149.00 | % 214.67/149.00 |-The branch is then unsatisfiable % 214.67/149.00 |-Branch two: % 214.67/149.00 | (3785) all_392_0_805 = 0 & mem(all_135_1_87, e) = 0 % 214.67/149.00 | % 214.67/149.00 | Applying alpha-rule on (3785) yields: % 214.67/149.00 | (3770) all_392_0_805 = 0 % 214.67/149.00 | (726) mem(all_135_1_87, e) = 0 % 214.67/149.00 | % 214.67/149.00 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.67/149.00 | (538) $false % 214.67/149.00 | % 214.67/149.00 |-The branch is then unsatisfiable % 214.67/149.01 |-Branch two: % 214.67/149.01 | (3530) all_324_0_754 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3530) yields: % 214.67/149.01 | (3482) all_324_0_754 = 0 % 214.67/149.01 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.67/149.01 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.67/149.01 | % 214.67/149.01 | Instantiating (1911) with all_385_0_810 yields: % 214.67/149.01 | (3793) (all_385_0_810 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_385_0_810 = 0 & mem(all_110_1_81, e) = 0) % 214.67/149.01 | % 214.67/149.01 +-Applying beta-rule and splitting (3601), into two cases. % 214.67/149.01 |-Branch one: % 214.67/149.01 | (3624) all_332_0_774 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3624) yields: % 214.67/149.01 | (3625) all_332_0_774 = 0 % 214.67/149.01 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 214.67/149.01 | (642) all_135_1_87 = all_0_6_6 % 214.67/149.01 | % 214.67/149.01 | From (642) and (231) follows: % 214.67/149.01 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 214.67/149.01 | % 214.67/149.01 +-Applying beta-rule and splitting (3739), into two cases. % 214.67/149.01 |-Branch one: % 214.67/149.01 | (3757) all_340_0_793 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3757) yields: % 214.67/149.01 | (3758) all_340_0_793 = 0 % 214.67/149.01 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.67/149.01 | (519) all_181_1_101 = all_0_6_6 % 214.67/149.01 | % 214.67/149.01 | From (519) and (260) follows: % 214.67/149.01 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 214.67/149.01 | (261) all_135_0_86 = 0 % 214.67/149.01 | % 214.67/149.01 | Equations (261) can reduce 230 to: % 214.67/149.01 | (175) $false % 214.67/149.01 | % 214.67/149.01 |-The branch is then unsatisfiable % 214.67/149.01 |-Branch two: % 214.67/149.01 | (3764) all_340_0_793 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3764) yields: % 214.67/149.01 | (3758) all_340_0_793 = 0 % 214.67/149.01 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.67/149.01 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.67/149.01 | % 214.67/149.01 | Instantiating (546) with all_404_0_811 yields: % 214.67/149.01 | (3810) (all_404_0_811 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_404_0_811 = 0 & mem(all_181_1_101, e) = 0) % 214.67/149.01 | % 214.67/149.01 +-Applying beta-rule and splitting (3793), into two cases. % 214.67/149.01 |-Branch one: % 214.67/149.01 | (3811) all_385_0_810 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3811) yields: % 214.67/149.01 | (3812) all_385_0_810 = 0 % 214.67/149.01 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.67/149.01 | (1953) all_110_1_81 = e % 214.67/149.01 | % 214.67/149.01 | From (1953) and (210) follows: % 214.67/149.01 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.67/149.01 | % 214.67/149.01 +-Applying beta-rule and splitting (3810), into two cases. % 214.67/149.01 |-Branch one: % 214.67/149.01 | (3816) all_404_0_811 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3816) yields: % 214.67/149.01 | (3817) all_404_0_811 = 0 % 214.67/149.01 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.67/149.01 | (588) all_181_1_101 = e % 214.67/149.01 | % 214.67/149.01 | From (588) and (267) follows: % 214.67/149.01 | (1959) mem(e, all_74_1_69) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.67/149.01 | (233) all_110_0_80 = 0 % 214.67/149.01 | % 214.67/149.01 | Equations (233) can reduce 209 to: % 214.67/149.01 | (175) $false % 214.67/149.01 | % 214.67/149.01 |-The branch is then unsatisfiable % 214.67/149.01 |-Branch two: % 214.67/149.01 | (3823) all_404_0_811 = 0 & mem(all_181_1_101, e) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3823) yields: % 214.67/149.01 | (3817) all_404_0_811 = 0 % 214.67/149.01 | (603) mem(all_181_1_101, e) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.67/149.01 | (538) $false % 214.67/149.01 | % 214.67/149.01 |-The branch is then unsatisfiable % 214.67/149.01 |-Branch two: % 214.67/149.01 | (3827) all_385_0_810 = 0 & mem(all_110_1_81, e) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3827) yields: % 214.67/149.01 | (3812) all_385_0_810 = 0 % 214.67/149.01 | (1968) mem(all_110_1_81, e) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.67/149.01 | (538) $false % 214.67/149.01 | % 214.67/149.01 |-The branch is then unsatisfiable % 214.67/149.01 |-Branch two: % 214.67/149.01 | (3631) all_332_0_774 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3631) yields: % 214.67/149.01 | (3625) all_332_0_774 = 0 % 214.67/149.01 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 214.67/149.01 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 214.67/149.01 | % 214.67/149.01 | Instantiating (669) with all_393_0_813 yields: % 214.67/149.01 | (3835) (all_393_0_813 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_393_0_813 = 0 & mem(all_135_1_87, e) = 0) % 214.67/149.01 | % 214.67/149.01 +-Applying beta-rule and splitting (3793), into two cases. % 214.67/149.01 |-Branch one: % 214.67/149.01 | (3811) all_385_0_810 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3811) yields: % 214.67/149.01 | (3812) all_385_0_810 = 0 % 214.67/149.01 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.67/149.01 | (1953) all_110_1_81 = e % 214.67/149.01 | % 214.67/149.01 | From (1953) and (210) follows: % 214.67/149.01 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.67/149.01 | % 214.67/149.01 +-Applying beta-rule and splitting (3835), into two cases. % 214.67/149.01 |-Branch one: % 214.67/149.01 | (3841) all_393_0_813 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3841) yields: % 214.67/149.01 | (3842) all_393_0_813 = 0 % 214.67/149.01 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 214.67/149.01 | (711) all_135_1_87 = e % 214.67/149.01 | % 214.67/149.01 | From (711) and (232) follows: % 214.67/149.01 | (1959) mem(e, all_74_1_69) = 0 % 214.67/149.01 | % 214.67/149.01 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.67/149.01 | (233) all_110_0_80 = 0 % 214.67/149.01 | % 214.67/149.01 | Equations (233) can reduce 209 to: % 214.67/149.01 | (175) $false % 214.67/149.01 | % 214.67/149.01 |-The branch is then unsatisfiable % 214.67/149.01 |-Branch two: % 214.67/149.01 | (3848) all_393_0_813 = 0 & mem(all_135_1_87, e) = 0 % 214.67/149.01 | % 214.67/149.01 | Applying alpha-rule on (3848) yields: % 214.67/149.01 | (3842) all_393_0_813 = 0 % 214.97/149.01 | (726) mem(all_135_1_87, e) = 0 % 214.97/149.01 | % 214.97/149.01 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 214.97/149.01 | (538) $false % 214.97/149.01 | % 214.97/149.01 |-The branch is then unsatisfiable % 214.97/149.01 |-Branch two: % 214.97/149.01 | (3827) all_385_0_810 = 0 & mem(all_110_1_81, e) = 0 % 214.97/149.01 | % 214.97/149.01 | Applying alpha-rule on (3827) yields: % 214.97/149.01 | (3812) all_385_0_810 = 0 % 214.97/149.01 | (1968) mem(all_110_1_81, e) = 0 % 214.97/149.01 | % 214.97/149.01 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.97/149.01 | (538) $false % 214.97/149.01 | % 214.97/149.01 |-The branch is then unsatisfiable % 214.97/149.02 |-Branch two: % 214.97/149.02 | (960) all_226_0_108 = 0 & mem(all_85_1_73, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (960) yields: % 214.97/149.02 | (327) all_226_0_108 = 0 % 214.97/149.02 | (962) mem(all_85_1_73, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_85_1_73 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_85_1_73, all_0_2_2) = 0, yields: % 214.97/149.02 | (963) all_85_1_73 = all_0_3_3 % 214.97/149.02 | % 214.97/149.02 | From (963) and (184) follows: % 214.97/149.02 | (964) mem(all_0_3_3, all_57_1_62) = all_85_0_72 % 214.97/149.02 | % 214.97/149.02 +-Applying beta-rule and splitting (292), into two cases. % 214.97/149.02 |-Branch one: % 214.97/149.02 | (331) all_227_0_109 = 0 & mem(all_135_1_87, all_0_1_1) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (331) yields: % 214.97/149.02 | (332) all_227_0_109 = 0 % 214.97/149.02 | (333) mem(all_135_1_87, all_0_1_1) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_135_1_87, all_0_1_1) = 0, yields: % 214.97/149.02 | (334) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_2_2) = 0)) % 214.97/149.02 | % 214.97/149.02 | Instantiating (334) with all_292_0_815 yields: % 214.97/149.02 | (3865) (all_292_0_815 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (all_292_0_815 = 0 & mem(all_135_1_87, all_0_2_2) = 0) % 214.97/149.02 | % 214.97/149.02 +-Applying beta-rule and splitting (315), into two cases. % 214.97/149.02 |-Branch one: % 214.97/149.02 | (367) all_252_0_113 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (367) yields: % 214.97/149.02 | (368) all_252_0_113 = 0 % 214.97/149.02 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 214.97/149.02 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 214.97/149.02 | % 214.97/149.02 | Instantiating (370) with all_300_0_816 yields: % 214.97/149.02 | (3870) (all_300_0_816 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_816 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 214.97/149.02 | % 214.97/149.02 +-Applying beta-rule and splitting (3865), into two cases. % 214.97/149.02 |-Branch one: % 214.97/149.02 | (3871) all_292_0_815 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (3871) yields: % 214.97/149.02 | (3872) all_292_0_815 = 0 % 214.97/149.02 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 214.97/149.02 | (351) all_135_1_87 = all_0_2_2 % 214.97/149.02 | % 214.97/149.02 | From (351) and (231) follows: % 214.97/149.02 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 214.97/149.02 | % 214.97/149.02 +-Applying beta-rule and splitting (3870), into two cases. % 214.97/149.02 |-Branch one: % 214.97/149.02 | (3876) all_300_0_816 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (3876) yields: % 214.97/149.02 | (3877) all_300_0_816 = 0 % 214.97/149.02 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 214.97/149.02 | (387) all_181_1_101 = all_0_2_2 % 214.97/149.02 | % 214.97/149.02 | From (387) and (260) follows: % 214.97/149.02 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 214.97/149.02 | (261) all_135_0_86 = 0 % 214.97/149.02 | % 214.97/149.02 | Equations (261) can reduce 230 to: % 214.97/149.02 | (175) $false % 214.97/149.02 | % 214.97/149.02 |-The branch is then unsatisfiable % 214.97/149.02 |-Branch two: % 214.97/149.02 | (3883) all_300_0_816 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (3883) yields: % 214.97/149.02 | (3877) all_300_0_816 = 0 % 214.97/149.02 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 214.97/149.02 | (394) all_181_1_101 = all_0_3_3 % 214.97/149.02 | % 214.97/149.02 | From (394) and (287) follows: % 214.97/149.02 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 214.97/149.02 | (212) all_85_0_72 = 0 % 214.97/149.02 | % 214.97/149.02 | Equations (212) can reduce 183 to: % 214.97/149.02 | (175) $false % 214.97/149.02 | % 214.97/149.02 |-The branch is then unsatisfiable % 214.97/149.02 |-Branch two: % 214.97/149.02 | (3890) all_292_0_815 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (3890) yields: % 214.97/149.02 | (3872) all_292_0_815 = 0 % 214.97/149.02 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 214.97/149.02 | (358) all_135_1_87 = all_0_3_3 % 214.97/149.02 | % 214.97/149.02 | From (358) and (241) follows: % 214.97/149.02 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 214.97/149.02 | (212) all_85_0_72 = 0 % 214.97/149.02 | % 214.97/149.02 | Equations (212) can reduce 183 to: % 214.97/149.02 | (175) $false % 214.97/149.02 | % 214.97/149.02 |-The branch is then unsatisfiable % 214.97/149.02 |-Branch two: % 214.97/149.02 | (398) all_252_0_113 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (398) yields: % 214.97/149.02 | (368) all_252_0_113 = 0 % 214.97/149.02 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 214.97/149.02 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 214.97/149.02 | % 214.97/149.02 | Instantiating (401) with all_300_0_819 yields: % 214.97/149.02 | (3901) (all_300_0_819 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_819 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 214.97/149.02 | % 214.97/149.02 +-Applying beta-rule and splitting (318), into two cases. % 214.97/149.02 |-Branch one: % 214.97/149.02 | (403) all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (403) yields: % 214.97/149.02 | (404) all_259_0_114 = 0 % 214.97/149.02 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 214.97/149.02 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 214.97/149.02 | % 214.97/149.02 | Instantiating (406) with all_308_0_820 yields: % 214.97/149.02 | (3906) (all_308_0_820 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_820 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 214.97/149.02 | % 214.97/149.02 +-Applying beta-rule and splitting (3865), into two cases. % 214.97/149.02 |-Branch one: % 214.97/149.02 | (3871) all_292_0_815 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (3871) yields: % 214.97/149.02 | (3872) all_292_0_815 = 0 % 214.97/149.02 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 214.97/149.02 | (351) all_135_1_87 = all_0_2_2 % 214.97/149.02 | % 214.97/149.02 | From (351) and (231) follows: % 214.97/149.02 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 214.97/149.02 | % 214.97/149.02 +-Applying beta-rule and splitting (3906), into two cases. % 214.97/149.02 |-Branch one: % 214.97/149.02 | (3912) all_308_0_820 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (3912) yields: % 214.97/149.02 | (3913) all_308_0_820 = 0 % 214.97/149.02 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 214.97/149.02 | (423) all_165_2_96 = all_0_2_2 % 214.97/149.02 | % 214.97/149.02 | From (423) and (268) follows: % 214.97/149.02 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 214.97/149.02 | (261) all_135_0_86 = 0 % 214.97/149.02 | % 214.97/149.02 | Equations (261) can reduce 230 to: % 214.97/149.02 | (175) $false % 214.97/149.02 | % 214.97/149.02 |-The branch is then unsatisfiable % 214.97/149.02 |-Branch two: % 214.97/149.02 | (3919) all_308_0_820 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (3919) yields: % 214.97/149.02 | (3913) all_308_0_820 = 0 % 214.97/149.02 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 214.97/149.02 | (430) all_165_2_96 = all_0_3_3 % 214.97/149.02 | % 214.97/149.02 | From (430) and (303) follows: % 214.97/149.02 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 214.97/149.02 | (212) all_85_0_72 = 0 % 214.97/149.02 | % 214.97/149.02 | Equations (212) can reduce 183 to: % 214.97/149.02 | (175) $false % 214.97/149.02 | % 214.97/149.02 |-The branch is then unsatisfiable % 214.97/149.02 |-Branch two: % 214.97/149.02 | (3890) all_292_0_815 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Applying alpha-rule on (3890) yields: % 214.97/149.02 | (3872) all_292_0_815 = 0 % 214.97/149.02 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 214.97/149.02 | (358) all_135_1_87 = all_0_3_3 % 214.97/149.02 | % 214.97/149.02 | From (358) and (241) follows: % 214.97/149.02 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 214.97/149.02 | % 214.97/149.02 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 214.97/149.02 | (212) all_85_0_72 = 0 % 214.97/149.03 | % 214.97/149.03 | Equations (212) can reduce 183 to: % 214.97/149.03 | (175) $false % 214.97/149.03 | % 214.97/149.03 |-The branch is then unsatisfiable % 214.97/149.03 |-Branch two: % 214.97/149.03 | (434) all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (434) yields: % 214.97/149.03 | (404) all_259_0_114 = 0 % 214.97/149.03 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 214.97/149.03 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 214.97/149.03 | % 214.97/149.03 | Instantiating (437) with all_308_0_823 yields: % 214.97/149.03 | (3937) (all_308_0_823 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_823 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 214.97/149.03 | % 214.97/149.03 +-Applying beta-rule and splitting (320), into two cases. % 214.97/149.03 |-Branch one: % 214.97/149.03 | (439) all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (439) yields: % 214.97/149.03 | (440) all_265_0_115 = 0 % 214.97/149.03 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 214.97/149.03 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 214.97/149.03 | % 214.97/149.03 | Instantiating (442) with all_316_0_824 yields: % 214.97/149.03 | (3942) (all_316_0_824 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_824 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 214.97/149.03 | % 214.97/149.03 +-Applying beta-rule and splitting (3865), into two cases. % 214.97/149.03 |-Branch one: % 214.97/149.03 | (3871) all_292_0_815 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (3871) yields: % 214.97/149.03 | (3872) all_292_0_815 = 0 % 214.97/149.03 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 214.97/149.03 | (351) all_135_1_87 = all_0_2_2 % 214.97/149.03 | % 214.97/149.03 | From (351) and (231) follows: % 214.97/149.03 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 214.97/149.03 | % 214.97/149.03 +-Applying beta-rule and splitting (3942), into two cases. % 214.97/149.03 |-Branch one: % 214.97/149.03 | (3948) all_316_0_824 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (3948) yields: % 214.97/149.03 | (3949) all_316_0_824 = 0 % 214.97/149.03 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 214.97/149.03 | (459) all_212_1_107 = all_0_2_2 % 214.97/149.03 | % 214.97/149.03 | From (459) and (286) follows: % 214.97/149.03 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 214.97/149.03 | (261) all_135_0_86 = 0 % 214.97/149.03 | % 214.97/149.03 | Equations (261) can reduce 230 to: % 214.97/149.03 | (175) $false % 214.97/149.03 | % 214.97/149.03 |-The branch is then unsatisfiable % 214.97/149.03 |-Branch two: % 214.97/149.03 | (3955) all_316_0_824 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (3955) yields: % 214.97/149.03 | (3949) all_316_0_824 = 0 % 214.97/149.03 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 214.97/149.03 | (466) all_212_1_107 = all_0_3_3 % 214.97/149.03 | % 214.97/149.03 | From (466) and (312) follows: % 214.97/149.03 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 214.97/149.03 | (212) all_85_0_72 = 0 % 214.97/149.03 | % 214.97/149.03 | Equations (212) can reduce 183 to: % 214.97/149.03 | (175) $false % 214.97/149.03 | % 214.97/149.03 |-The branch is then unsatisfiable % 214.97/149.03 |-Branch two: % 214.97/149.03 | (3890) all_292_0_815 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (3890) yields: % 214.97/149.03 | (3872) all_292_0_815 = 0 % 214.97/149.03 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 214.97/149.03 | (358) all_135_1_87 = all_0_3_3 % 214.97/149.03 | % 214.97/149.03 | From (358) and (241) follows: % 214.97/149.03 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 214.97/149.03 | (212) all_85_0_72 = 0 % 214.97/149.03 | % 214.97/149.03 | Equations (212) can reduce 183 to: % 214.97/149.03 | (175) $false % 214.97/149.03 | % 214.97/149.03 |-The branch is then unsatisfiable % 214.97/149.03 |-Branch two: % 214.97/149.03 | (470) all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (470) yields: % 214.97/149.03 | (440) all_265_0_115 = 0 % 214.97/149.03 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 214.97/149.03 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 214.97/149.03 | % 214.97/149.03 | Instantiating (473) with all_316_0_827 yields: % 214.97/149.03 | (3973) (all_316_0_827 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_827 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 214.97/149.03 | % 214.97/149.03 +-Applying beta-rule and splitting (1598), into two cases. % 214.97/149.03 |-Branch one: % 214.97/149.03 | (1717) all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (1717) yields: % 214.97/149.03 | (1718) all_273_0_379 = 0 % 214.97/149.03 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 214.97/149.03 | (1720) all_110_1_81 = all_0_5_5 % 214.97/149.03 | % 214.97/149.03 | From (1720) and (210) follows: % 214.97/149.03 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 214.97/149.03 | % 214.97/149.03 +-Applying beta-rule and splitting (3901), into two cases. % 214.97/149.03 |-Branch one: % 214.97/149.03 | (3979) all_300_0_819 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (3979) yields: % 214.97/149.03 | (3980) all_300_0_819 = 0 % 214.97/149.03 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 214.97/149.03 | (483) all_181_1_101 = all_0_5_5 % 214.97/149.03 | % 214.97/149.03 | From (483) and (267) follows: % 214.97/149.03 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.97/149.03 | (233) all_110_0_80 = 0 % 214.97/149.03 | % 214.97/149.03 | Equations (233) can reduce 209 to: % 214.97/149.03 | (175) $false % 214.97/149.03 | % 214.97/149.03 |-The branch is then unsatisfiable % 214.97/149.03 |-Branch two: % 214.97/149.03 | (3986) all_300_0_819 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (3986) yields: % 214.97/149.03 | (3980) all_300_0_819 = 0 % 214.97/149.03 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 214.97/149.03 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 214.97/149.03 | % 214.97/149.03 | Instantiating (490) with all_346_0_828 yields: % 214.97/149.03 | (3990) (all_346_0_828 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_346_0_828 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 214.97/149.03 | % 214.97/149.03 +-Applying beta-rule and splitting (3937), into two cases. % 214.97/149.03 |-Branch one: % 214.97/149.03 | (3991) all_308_0_823 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (3991) yields: % 214.97/149.03 | (3992) all_308_0_823 = 0 % 214.97/149.03 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.97/149.03 | (495) all_165_2_96 = all_0_5_5 % 214.97/149.03 | % 214.97/149.03 | From (495) and (288) follows: % 214.97/149.03 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.97/149.03 | (233) all_110_0_80 = 0 % 214.97/149.03 | % 214.97/149.03 | Equations (233) can reduce 209 to: % 214.97/149.03 | (175) $false % 214.97/149.03 | % 214.97/149.03 |-The branch is then unsatisfiable % 214.97/149.03 |-Branch two: % 214.97/149.03 | (3998) all_308_0_823 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (3998) yields: % 214.97/149.03 | (3992) all_308_0_823 = 0 % 214.97/149.03 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 214.97/149.03 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 214.97/149.03 | % 214.97/149.03 | Instantiating (502) with all_354_0_829 yields: % 214.97/149.03 | (4002) (all_354_0_829 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_829 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 214.97/149.03 | % 214.97/149.03 +-Applying beta-rule and splitting (3973), into two cases. % 214.97/149.03 |-Branch one: % 214.97/149.03 | (4003) all_316_0_827 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.97/149.03 | % 214.97/149.03 | Applying alpha-rule on (4003) yields: % 214.97/149.03 | (4004) all_316_0_827 = 0 % 214.97/149.03 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.97/149.03 | % 214.97/149.03 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.97/149.03 | (507) all_212_1_107 = all_0_5_5 % 214.97/149.03 | % 214.97/149.03 | From (507) and (301) follows: % 214.97/149.03 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 214.97/149.03 | % 214.97/149.04 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 214.97/149.04 | (233) all_110_0_80 = 0 % 214.97/149.04 | % 214.97/149.04 | Equations (233) can reduce 209 to: % 214.97/149.04 | (175) $false % 214.97/149.04 | % 214.97/149.04 |-The branch is then unsatisfiable % 214.97/149.04 |-Branch two: % 214.97/149.04 | (4010) all_316_0_827 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4010) yields: % 214.97/149.04 | (4004) all_316_0_827 = 0 % 214.97/149.04 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.97/149.04 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.97/149.04 | % 214.97/149.04 | Instantiating (514) with all_362_0_830 yields: % 214.97/149.04 | (4014) (all_362_0_830 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_830 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.97/149.04 | % 214.97/149.04 +-Applying beta-rule and splitting (3990), into two cases. % 214.97/149.04 |-Branch one: % 214.97/149.04 | (4015) all_346_0_828 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4015) yields: % 214.97/149.04 | (4016) all_346_0_828 = 0 % 214.97/149.04 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.97/149.04 | (519) all_181_1_101 = all_0_6_6 % 214.97/149.04 | % 214.97/149.04 | From (519) and (259) follows: % 214.97/149.04 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 214.97/149.04 | % 214.97/149.04 +-Applying beta-rule and splitting (4014), into two cases. % 214.97/149.04 |-Branch one: % 214.97/149.04 | (4020) all_362_0_830 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4020) yields: % 214.97/149.04 | (4021) all_362_0_830 = 0 % 214.97/149.04 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.97/149.04 | (524) all_212_1_107 = all_0_6_6 % 214.97/149.04 | % 214.97/149.04 | From (524) and (281) follows: % 214.97/149.04 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 214.97/149.04 | (526) all_181_0_100 = 0 % 214.97/149.04 | % 214.97/149.04 | Equations (526) can reduce 258 to: % 214.97/149.04 | (175) $false % 214.97/149.04 | % 214.97/149.04 |-The branch is then unsatisfiable % 214.97/149.04 |-Branch two: % 214.97/149.04 | (4027) all_362_0_830 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4027) yields: % 214.97/149.04 | (4021) all_362_0_830 = 0 % 214.97/149.04 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.97/149.04 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.97/149.04 | % 214.97/149.04 | Instantiating (531) with all_389_0_832 yields: % 214.97/149.04 | (4031) (all_389_0_832 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_832 = 0 & mem(all_212_1_107, e) = 0) % 214.97/149.04 | % 214.97/149.04 +-Applying beta-rule and splitting (4031), into two cases. % 214.97/149.04 |-Branch one: % 214.97/149.04 | (4032) all_389_0_832 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4032) yields: % 214.97/149.04 | (4033) all_389_0_832 = 0 % 214.97/149.04 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.97/149.04 | (536) all_212_1_107 = e % 214.97/149.04 | % 214.97/149.04 | From (536) and (310) follows: % 214.97/149.04 | (537) mem(all_244_1_112, e) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.97/149.04 | (538) $false % 214.97/149.04 | % 214.97/149.04 |-The branch is then unsatisfiable % 214.97/149.04 |-Branch two: % 214.97/149.04 | (4038) all_389_0_832 = 0 & mem(all_212_1_107, e) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4038) yields: % 214.97/149.04 | (4033) all_389_0_832 = 0 % 214.97/149.04 | (541) mem(all_212_1_107, e) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.97/149.04 | (538) $false % 214.97/149.04 | % 214.97/149.04 |-The branch is then unsatisfiable % 214.97/149.04 |-Branch two: % 214.97/149.04 | (4042) all_346_0_828 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4042) yields: % 214.97/149.04 | (4016) all_346_0_828 = 0 % 214.97/149.04 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.97/149.04 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.97/149.04 | % 214.97/149.04 | Instantiating (546) with all_370_0_837 yields: % 214.97/149.04 | (4046) (all_370_0_837 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_370_0_837 = 0 & mem(all_181_1_101, e) = 0) % 214.97/149.04 | % 214.97/149.04 +-Applying beta-rule and splitting (4002), into two cases. % 214.97/149.04 |-Branch one: % 214.97/149.04 | (4047) all_354_0_829 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4047) yields: % 214.97/149.04 | (4048) all_354_0_829 = 0 % 214.97/149.04 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.97/149.04 | (551) all_165_2_96 = all_0_6_6 % 214.97/149.04 | % 214.97/149.04 | From (551) and (311) follows: % 214.97/149.04 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 214.97/149.04 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 214.97/149.04 | % 214.97/149.04 +-Applying beta-rule and splitting (4014), into two cases. % 214.97/149.04 |-Branch one: % 214.97/149.04 | (4020) all_362_0_830 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4020) yields: % 214.97/149.04 | (4021) all_362_0_830 = 0 % 214.97/149.04 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.04 | % 214.97/149.04 +-Applying beta-rule and splitting (553), into two cases. % 214.97/149.04 |-Branch one: % 214.97/149.04 | (557) all_244_0_111 = 0 % 214.97/149.04 | % 214.97/149.04 | Equations (557) can reduce 309 to: % 214.97/149.04 | (175) $false % 214.97/149.04 | % 214.97/149.04 |-The branch is then unsatisfiable % 214.97/149.04 |-Branch two: % 214.97/149.04 | (309) ~ (all_244_0_111 = 0) % 214.97/149.04 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.97/149.04 | (524) all_212_1_107 = all_0_6_6 % 214.97/149.04 | % 214.97/149.04 | From (524) and (310) follows: % 214.97/149.04 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 214.97/149.04 | (557) all_244_0_111 = 0 % 214.97/149.04 | % 214.97/149.04 | Equations (557) can reduce 309 to: % 214.97/149.04 | (175) $false % 214.97/149.04 | % 214.97/149.04 |-The branch is then unsatisfiable % 214.97/149.04 |-Branch two: % 214.97/149.04 | (4027) all_362_0_830 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4027) yields: % 214.97/149.04 | (4021) all_362_0_830 = 0 % 214.97/149.04 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.97/149.04 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.97/149.04 | % 214.97/149.04 | Instantiating (531) with all_400_0_846 yields: % 214.97/149.04 | (4068) (all_400_0_846 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_846 = 0 & mem(all_212_1_107, e) = 0) % 214.97/149.04 | % 214.97/149.04 +-Applying beta-rule and splitting (4068), into two cases. % 214.97/149.04 |-Branch one: % 214.97/149.04 | (4069) all_400_0_846 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4069) yields: % 214.97/149.04 | (4070) all_400_0_846 = 0 % 214.97/149.04 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.97/149.04 | (536) all_212_1_107 = e % 214.97/149.04 | % 214.97/149.04 | From (536) and (310) follows: % 214.97/149.04 | (537) mem(all_244_1_112, e) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.97/149.04 | (538) $false % 214.97/149.04 | % 214.97/149.04 |-The branch is then unsatisfiable % 214.97/149.04 |-Branch two: % 214.97/149.04 | (4075) all_400_0_846 = 0 & mem(all_212_1_107, e) = 0 % 214.97/149.04 | % 214.97/149.04 | Applying alpha-rule on (4075) yields: % 214.97/149.04 | (4070) all_400_0_846 = 0 % 214.97/149.04 | (541) mem(all_212_1_107, e) = 0 % 214.97/149.04 | % 214.97/149.04 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.97/149.04 | (538) $false % 214.97/149.04 | % 214.97/149.04 |-The branch is then unsatisfiable % 214.97/149.05 |-Branch two: % 214.97/149.05 | (4079) all_354_0_829 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (4079) yields: % 214.97/149.05 | (4048) all_354_0_829 = 0 % 214.97/149.05 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.97/149.05 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.97/149.05 | % 214.97/149.05 | Instantiating (583) with all_378_0_849 yields: % 214.97/149.05 | (4083) (all_378_0_849 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_849 = 0 & mem(all_165_2_96, e) = 0) % 214.97/149.05 | % 214.97/149.05 +-Applying beta-rule and splitting (4046), into two cases. % 214.97/149.05 |-Branch one: % 214.97/149.05 | (4084) all_370_0_837 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (4084) yields: % 214.97/149.05 | (4085) all_370_0_837 = 0 % 214.97/149.05 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 214.97/149.05 | (588) all_181_1_101 = e % 214.97/149.05 | % 214.97/149.05 | From (588) and (259) follows: % 214.97/149.05 | (589) mem(e, all_129_1_85) = all_181_0_100 % 214.97/149.05 | % 214.97/149.05 +-Applying beta-rule and splitting (4083), into two cases. % 214.97/149.05 |-Branch one: % 214.97/149.05 | (4089) all_378_0_849 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (4089) yields: % 214.97/149.05 | (4090) all_378_0_849 = 0 % 214.97/149.05 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.97/149.05 | (593) all_165_2_96 = e % 214.97/149.05 | % 214.97/149.05 | From (593) and (248) follows: % 214.97/149.05 | (594) mem(e, all_129_1_85) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 214.97/149.05 | (526) all_181_0_100 = 0 % 214.97/149.05 | % 214.97/149.05 | Equations (526) can reduce 258 to: % 214.97/149.05 | (175) $false % 214.97/149.05 | % 214.97/149.05 |-The branch is then unsatisfiable % 214.97/149.05 |-Branch two: % 214.97/149.05 | (4096) all_378_0_849 = 0 & mem(all_165_2_96, e) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (4096) yields: % 214.97/149.05 | (4090) all_378_0_849 = 0 % 214.97/149.05 | (599) mem(all_165_2_96, e) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.97/149.05 | (538) $false % 214.97/149.05 | % 214.97/149.05 |-The branch is then unsatisfiable % 214.97/149.05 |-Branch two: % 214.97/149.05 | (4100) all_370_0_837 = 0 & mem(all_181_1_101, e) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (4100) yields: % 214.97/149.05 | (4085) all_370_0_837 = 0 % 214.97/149.05 | (603) mem(all_181_1_101, e) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 214.97/149.05 | (538) $false % 214.97/149.05 | % 214.97/149.05 |-The branch is then unsatisfiable % 214.97/149.05 |-Branch two: % 214.97/149.05 | (1847) all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (1847) yields: % 214.97/149.05 | (1718) all_273_0_379 = 0 % 214.97/149.05 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 214.97/149.05 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 214.97/149.05 | % 214.97/149.05 | Instantiating (1850) with all_324_0_856 yields: % 214.97/149.05 | (4108) (all_324_0_856 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_856 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 214.97/149.05 | % 214.97/149.05 +-Applying beta-rule and splitting (3901), into two cases. % 214.97/149.05 |-Branch one: % 214.97/149.05 | (3979) all_300_0_819 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (3979) yields: % 214.97/149.05 | (3980) all_300_0_819 = 0 % 214.97/149.05 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 214.97/149.05 | (483) all_181_1_101 = all_0_5_5 % 214.97/149.05 | % 214.97/149.05 | From (483) and (259) follows: % 214.97/149.05 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 214.97/149.05 | % 214.97/149.05 +-Applying beta-rule and splitting (3937), into two cases. % 214.97/149.05 |-Branch one: % 214.97/149.05 | (3991) all_308_0_823 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (3991) yields: % 214.97/149.05 | (3992) all_308_0_823 = 0 % 214.97/149.05 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.97/149.05 | (495) all_165_2_96 = all_0_5_5 % 214.97/149.05 | % 214.97/149.05 | From (495) and (248) follows: % 214.97/149.05 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 214.97/149.05 | (526) all_181_0_100 = 0 % 214.97/149.05 | % 214.97/149.05 | Equations (526) can reduce 258 to: % 214.97/149.05 | (175) $false % 214.97/149.05 | % 214.97/149.05 |-The branch is then unsatisfiable % 214.97/149.05 |-Branch two: % 214.97/149.05 | (3998) all_308_0_823 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (3998) yields: % 214.97/149.05 | (3992) all_308_0_823 = 0 % 214.97/149.05 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 214.97/149.05 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 214.97/149.05 | % 214.97/149.05 | Instantiating (502) with all_354_0_857 yields: % 214.97/149.05 | (4125) (all_354_0_857 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_857 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 214.97/149.05 | % 214.97/149.05 +-Applying beta-rule and splitting (3973), into two cases. % 214.97/149.05 |-Branch one: % 214.97/149.05 | (4003) all_316_0_827 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (4003) yields: % 214.97/149.05 | (4004) all_316_0_827 = 0 % 214.97/149.05 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.97/149.05 | (507) all_212_1_107 = all_0_5_5 % 214.97/149.05 | % 214.97/149.05 | From (507) and (281) follows: % 214.97/149.05 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 214.97/149.05 | (526) all_181_0_100 = 0 % 214.97/149.05 | % 214.97/149.05 | Equations (526) can reduce 258 to: % 214.97/149.05 | (175) $false % 214.97/149.05 | % 214.97/149.05 |-The branch is then unsatisfiable % 214.97/149.05 |-Branch two: % 214.97/149.05 | (4010) all_316_0_827 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (4010) yields: % 214.97/149.05 | (4004) all_316_0_827 = 0 % 214.97/149.05 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.97/149.05 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.97/149.05 | % 214.97/149.05 | Instantiating (514) with all_362_0_858 yields: % 214.97/149.05 | (4137) (all_362_0_858 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_858 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.97/149.05 | % 214.97/149.05 +-Applying beta-rule and splitting (4108), into two cases. % 214.97/149.05 |-Branch one: % 214.97/149.05 | (4138) all_324_0_856 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.97/149.05 | % 214.97/149.05 | Applying alpha-rule on (4138) yields: % 214.97/149.05 | (4139) all_324_0_856 = 0 % 214.97/149.05 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.97/149.05 | % 214.97/149.05 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.97/149.06 | (1884) all_110_1_81 = all_0_6_6 % 214.97/149.06 | % 214.97/149.06 | From (1884) and (210) follows: % 214.97/149.06 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.97/149.06 | % 214.97/149.06 +-Applying beta-rule and splitting (4137), into two cases. % 214.97/149.06 |-Branch one: % 214.97/149.06 | (4143) all_362_0_858 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4143) yields: % 214.97/149.06 | (4144) all_362_0_858 = 0 % 214.97/149.06 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.97/149.06 | (524) all_212_1_107 = all_0_6_6 % 214.97/149.06 | % 214.97/149.06 | From (524) and (301) follows: % 214.97/149.06 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.97/149.06 | (233) all_110_0_80 = 0 % 214.97/149.06 | % 214.97/149.06 | Equations (233) can reduce 209 to: % 214.97/149.06 | (175) $false % 214.97/149.06 | % 214.97/149.06 |-The branch is then unsatisfiable % 214.97/149.06 |-Branch two: % 214.97/149.06 | (4150) all_362_0_858 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4150) yields: % 214.97/149.06 | (4144) all_362_0_858 = 0 % 214.97/149.06 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.97/149.06 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.97/149.06 | % 214.97/149.06 | Instantiating (531) with all_389_0_860 yields: % 214.97/149.06 | (4154) (all_389_0_860 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_860 = 0 & mem(all_212_1_107, e) = 0) % 214.97/149.06 | % 214.97/149.06 +-Applying beta-rule and splitting (4154), into two cases. % 214.97/149.06 |-Branch one: % 214.97/149.06 | (4155) all_389_0_860 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4155) yields: % 214.97/149.06 | (4156) all_389_0_860 = 0 % 214.97/149.06 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.97/149.06 | (536) all_212_1_107 = e % 214.97/149.06 | % 214.97/149.06 | From (536) and (310) follows: % 214.97/149.06 | (537) mem(all_244_1_112, e) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.97/149.06 | (538) $false % 214.97/149.06 | % 214.97/149.06 |-The branch is then unsatisfiable % 214.97/149.06 |-Branch two: % 214.97/149.06 | (4161) all_389_0_860 = 0 & mem(all_212_1_107, e) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4161) yields: % 214.97/149.06 | (4156) all_389_0_860 = 0 % 214.97/149.06 | (541) mem(all_212_1_107, e) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.97/149.06 | (538) $false % 214.97/149.06 | % 214.97/149.06 |-The branch is then unsatisfiable % 214.97/149.06 |-Branch two: % 214.97/149.06 | (4165) all_324_0_856 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4165) yields: % 214.97/149.06 | (4139) all_324_0_856 = 0 % 214.97/149.06 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.97/149.06 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.97/149.06 | % 214.97/149.06 | Instantiating (1911) with all_370_0_865 yields: % 214.97/149.06 | (4169) (all_370_0_865 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_370_0_865 = 0 & mem(all_110_1_81, e) = 0) % 214.97/149.06 | % 214.97/149.06 +-Applying beta-rule and splitting (4125), into two cases. % 214.97/149.06 |-Branch one: % 214.97/149.06 | (4170) all_354_0_857 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4170) yields: % 214.97/149.06 | (4171) all_354_0_857 = 0 % 214.97/149.06 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 214.97/149.06 | (551) all_165_2_96 = all_0_6_6 % 214.97/149.06 | % 214.97/149.06 | From (551) and (311) follows: % 214.97/149.06 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 214.97/149.06 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 214.97/149.06 | % 214.97/149.06 +-Applying beta-rule and splitting (4137), into two cases. % 214.97/149.06 |-Branch one: % 214.97/149.06 | (4143) all_362_0_858 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4143) yields: % 214.97/149.06 | (4144) all_362_0_858 = 0 % 214.97/149.06 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.06 | % 214.97/149.06 +-Applying beta-rule and splitting (553), into two cases. % 214.97/149.06 |-Branch one: % 214.97/149.06 | (557) all_244_0_111 = 0 % 214.97/149.06 | % 214.97/149.06 | Equations (557) can reduce 309 to: % 214.97/149.06 | (175) $false % 214.97/149.06 | % 214.97/149.06 |-The branch is then unsatisfiable % 214.97/149.06 |-Branch two: % 214.97/149.06 | (309) ~ (all_244_0_111 = 0) % 214.97/149.06 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.97/149.06 | (524) all_212_1_107 = all_0_6_6 % 214.97/149.06 | % 214.97/149.06 | From (524) and (310) follows: % 214.97/149.06 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 214.97/149.06 | (557) all_244_0_111 = 0 % 214.97/149.06 | % 214.97/149.06 | Equations (557) can reduce 309 to: % 214.97/149.06 | (175) $false % 214.97/149.06 | % 214.97/149.06 |-The branch is then unsatisfiable % 214.97/149.06 |-Branch two: % 214.97/149.06 | (4150) all_362_0_858 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4150) yields: % 214.97/149.06 | (4144) all_362_0_858 = 0 % 214.97/149.06 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.97/149.06 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.97/149.06 | % 214.97/149.06 | Instantiating (531) with all_400_0_874 yields: % 214.97/149.06 | (4191) (all_400_0_874 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_874 = 0 & mem(all_212_1_107, e) = 0) % 214.97/149.06 | % 214.97/149.06 +-Applying beta-rule and splitting (4191), into two cases. % 214.97/149.06 |-Branch one: % 214.97/149.06 | (4192) all_400_0_874 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4192) yields: % 214.97/149.06 | (4193) all_400_0_874 = 0 % 214.97/149.06 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.97/149.06 | (536) all_212_1_107 = e % 214.97/149.06 | % 214.97/149.06 | From (536) and (310) follows: % 214.97/149.06 | (537) mem(all_244_1_112, e) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.97/149.06 | (538) $false % 214.97/149.06 | % 214.97/149.06 |-The branch is then unsatisfiable % 214.97/149.06 |-Branch two: % 214.97/149.06 | (4198) all_400_0_874 = 0 & mem(all_212_1_107, e) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4198) yields: % 214.97/149.06 | (4193) all_400_0_874 = 0 % 214.97/149.06 | (541) mem(all_212_1_107, e) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.97/149.06 | (538) $false % 214.97/149.06 | % 214.97/149.06 |-The branch is then unsatisfiable % 214.97/149.06 |-Branch two: % 214.97/149.06 | (4202) all_354_0_857 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Applying alpha-rule on (4202) yields: % 214.97/149.06 | (4171) all_354_0_857 = 0 % 214.97/149.06 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 214.97/149.06 | % 214.97/149.06 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 214.97/149.06 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 214.97/149.06 | % 214.97/149.06 | Instantiating (583) with all_378_0_877 yields: % 214.97/149.06 | (4206) (all_378_0_877 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_877 = 0 & mem(all_165_2_96, e) = 0) % 214.97/149.07 | % 214.97/149.07 +-Applying beta-rule and splitting (4169), into two cases. % 214.97/149.07 |-Branch one: % 214.97/149.07 | (4207) all_370_0_865 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4207) yields: % 214.97/149.07 | (4208) all_370_0_865 = 0 % 214.97/149.07 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.97/149.07 | (1953) all_110_1_81 = e % 214.97/149.07 | % 214.97/149.07 | From (1953) and (210) follows: % 214.97/149.07 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.97/149.07 | % 214.97/149.07 +-Applying beta-rule and splitting (4206), into two cases. % 214.97/149.07 |-Branch one: % 214.97/149.07 | (4212) all_378_0_877 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4212) yields: % 214.97/149.07 | (4213) all_378_0_877 = 0 % 214.97/149.07 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 214.97/149.07 | (593) all_165_2_96 = e % 214.97/149.07 | % 214.97/149.07 | From (593) and (288) follows: % 214.97/149.07 | (1959) mem(e, all_74_1_69) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 214.97/149.07 | (233) all_110_0_80 = 0 % 214.97/149.07 | % 214.97/149.07 | Equations (233) can reduce 209 to: % 214.97/149.07 | (175) $false % 214.97/149.07 | % 214.97/149.07 |-The branch is then unsatisfiable % 214.97/149.07 |-Branch two: % 214.97/149.07 | (4219) all_378_0_877 = 0 & mem(all_165_2_96, e) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4219) yields: % 214.97/149.07 | (4213) all_378_0_877 = 0 % 214.97/149.07 | (599) mem(all_165_2_96, e) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 214.97/149.07 | (538) $false % 214.97/149.07 | % 214.97/149.07 |-The branch is then unsatisfiable % 214.97/149.07 |-Branch two: % 214.97/149.07 | (4223) all_370_0_865 = 0 & mem(all_110_1_81, e) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4223) yields: % 214.97/149.07 | (4208) all_370_0_865 = 0 % 214.97/149.07 | (1968) mem(all_110_1_81, e) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 214.97/149.07 | (538) $false % 214.97/149.07 | % 214.97/149.07 |-The branch is then unsatisfiable % 214.97/149.07 |-Branch two: % 214.97/149.07 | (3986) all_300_0_819 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (3986) yields: % 214.97/149.07 | (3980) all_300_0_819 = 0 % 214.97/149.07 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 214.97/149.07 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 214.97/149.07 | % 214.97/149.07 | Instantiating (490) with all_343_0_884 yields: % 214.97/149.07 | (4231) (all_343_0_884 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_884 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 214.97/149.07 | % 214.97/149.07 +-Applying beta-rule and splitting (3937), into two cases. % 214.97/149.07 |-Branch one: % 214.97/149.07 | (3991) all_308_0_823 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (3991) yields: % 214.97/149.07 | (3992) all_308_0_823 = 0 % 214.97/149.07 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 214.97/149.07 | (495) all_165_2_96 = all_0_5_5 % 214.97/149.07 | % 214.97/149.07 | From (495) and (311) follows: % 214.97/149.07 | (737) mem(all_244_1_112, all_0_5_5) = all_244_0_111 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (8) with all_244_0_111, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_112 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_112, all_0_5_5) = all_244_0_111, yields: % 214.97/149.07 | (738) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 214.97/149.07 | % 214.97/149.07 +-Applying beta-rule and splitting (3973), into two cases. % 214.97/149.07 |-Branch one: % 214.97/149.07 | (4003) all_316_0_827 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4003) yields: % 214.97/149.07 | (4004) all_316_0_827 = 0 % 214.97/149.07 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 214.97/149.07 | % 214.97/149.07 +-Applying beta-rule and splitting (738), into two cases. % 214.97/149.07 |-Branch one: % 214.97/149.07 | (557) all_244_0_111 = 0 % 214.97/149.07 | % 214.97/149.07 | Equations (557) can reduce 309 to: % 214.97/149.07 | (175) $false % 214.97/149.07 | % 214.97/149.07 |-The branch is then unsatisfiable % 214.97/149.07 |-Branch two: % 214.97/149.07 | (309) ~ (all_244_0_111 = 0) % 214.97/149.07 | (745) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 214.97/149.07 | (507) all_212_1_107 = all_0_5_5 % 214.97/149.07 | % 214.97/149.07 | From (507) and (310) follows: % 214.97/149.07 | (747) mem(all_244_1_112, all_0_5_5) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (65) with all_244_1_112, all_0_5_5, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_5_5) = all_244_0_111, mem(all_244_1_112, all_0_5_5) = 0, yields: % 214.97/149.07 | (557) all_244_0_111 = 0 % 214.97/149.07 | % 214.97/149.07 | Equations (557) can reduce 309 to: % 214.97/149.07 | (175) $false % 214.97/149.07 | % 214.97/149.07 |-The branch is then unsatisfiable % 214.97/149.07 |-Branch two: % 214.97/149.07 | (4010) all_316_0_827 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4010) yields: % 214.97/149.07 | (4004) all_316_0_827 = 0 % 214.97/149.07 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 214.97/149.07 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 214.97/149.07 | % 214.97/149.07 | Instantiating (514) with all_373_0_893 yields: % 214.97/149.07 | (4253) (all_373_0_893 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_893 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 214.97/149.07 | % 214.97/149.07 +-Applying beta-rule and splitting (4108), into two cases. % 214.97/149.07 |-Branch one: % 214.97/149.07 | (4138) all_324_0_856 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4138) yields: % 214.97/149.07 | (4139) all_324_0_856 = 0 % 214.97/149.07 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 214.97/149.07 | (1884) all_110_1_81 = all_0_6_6 % 214.97/149.07 | % 214.97/149.07 | From (1884) and (210) follows: % 214.97/149.07 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 214.97/149.07 | % 214.97/149.07 +-Applying beta-rule and splitting (4253), into two cases. % 214.97/149.07 |-Branch one: % 214.97/149.07 | (4259) all_373_0_893 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4259) yields: % 214.97/149.07 | (4260) all_373_0_893 = 0 % 214.97/149.07 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.97/149.07 | (524) all_212_1_107 = all_0_6_6 % 214.97/149.07 | % 214.97/149.07 | From (524) and (301) follows: % 214.97/149.07 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 214.97/149.07 | (233) all_110_0_80 = 0 % 214.97/149.07 | % 214.97/149.07 | Equations (233) can reduce 209 to: % 214.97/149.07 | (175) $false % 214.97/149.07 | % 214.97/149.07 |-The branch is then unsatisfiable % 214.97/149.07 |-Branch two: % 214.97/149.07 | (4266) all_373_0_893 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.07 | % 214.97/149.07 | Applying alpha-rule on (4266) yields: % 214.97/149.07 | (4260) all_373_0_893 = 0 % 214.97/149.07 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.07 | % 214.97/149.07 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.97/149.07 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.97/149.07 | % 214.97/149.07 | Instantiating (531) with all_417_0_903 yields: % 214.97/149.07 | (4270) (all_417_0_903 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_903 = 0 & mem(all_212_1_107, e) = 0) % 214.97/149.08 | % 214.97/149.08 +-Applying beta-rule and splitting (4270), into two cases. % 214.97/149.08 |-Branch one: % 214.97/149.08 | (4271) all_417_0_903 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4271) yields: % 214.97/149.08 | (4272) all_417_0_903 = 0 % 214.97/149.08 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.97/149.08 | (536) all_212_1_107 = e % 214.97/149.08 | % 214.97/149.08 | From (536) and (310) follows: % 214.97/149.08 | (537) mem(all_244_1_112, e) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.97/149.08 | (538) $false % 214.97/149.08 | % 214.97/149.08 |-The branch is then unsatisfiable % 214.97/149.08 |-Branch two: % 214.97/149.08 | (4277) all_417_0_903 = 0 & mem(all_212_1_107, e) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4277) yields: % 214.97/149.08 | (4272) all_417_0_903 = 0 % 214.97/149.08 | (541) mem(all_212_1_107, e) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.97/149.08 | (538) $false % 214.97/149.08 | % 214.97/149.08 |-The branch is then unsatisfiable % 214.97/149.08 |-Branch two: % 214.97/149.08 | (4165) all_324_0_856 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4165) yields: % 214.97/149.08 | (4139) all_324_0_856 = 0 % 214.97/149.08 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 214.97/149.08 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 214.97/149.08 | % 214.97/149.08 | Instantiating (1911) with all_392_0_908 yields: % 214.97/149.08 | (4285) (all_392_0_908 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_392_0_908 = 0 & mem(all_110_1_81, e) = 0) % 214.97/149.08 | % 214.97/149.08 +-Applying beta-rule and splitting (4231), into two cases. % 214.97/149.08 |-Branch one: % 214.97/149.08 | (4286) all_343_0_884 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4286) yields: % 214.97/149.08 | (4287) all_343_0_884 = 0 % 214.97/149.08 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 214.97/149.08 | (519) all_181_1_101 = all_0_6_6 % 214.97/149.08 | % 214.97/149.08 | From (519) and (259) follows: % 214.97/149.08 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 214.97/149.08 | % 214.97/149.08 +-Applying beta-rule and splitting (4253), into two cases. % 214.97/149.08 |-Branch one: % 214.97/149.08 | (4259) all_373_0_893 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4259) yields: % 214.97/149.08 | (4260) all_373_0_893 = 0 % 214.97/149.08 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 214.97/149.08 | (524) all_212_1_107 = all_0_6_6 % 214.97/149.08 | % 214.97/149.08 | From (524) and (281) follows: % 214.97/149.08 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 214.97/149.08 | (526) all_181_0_100 = 0 % 214.97/149.08 | % 214.97/149.08 | Equations (526) can reduce 258 to: % 214.97/149.08 | (175) $false % 214.97/149.08 | % 214.97/149.08 |-The branch is then unsatisfiable % 214.97/149.08 |-Branch two: % 214.97/149.08 | (4266) all_373_0_893 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4266) yields: % 214.97/149.08 | (4260) all_373_0_893 = 0 % 214.97/149.08 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 214.97/149.08 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 214.97/149.08 | % 214.97/149.08 | Instantiating (531) with all_417_0_911 yields: % 214.97/149.08 | (4302) (all_417_0_911 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_911 = 0 & mem(all_212_1_107, e) = 0) % 214.97/149.08 | % 214.97/149.08 +-Applying beta-rule and splitting (4302), into two cases. % 214.97/149.08 |-Branch one: % 214.97/149.08 | (4303) all_417_0_911 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4303) yields: % 214.97/149.08 | (4304) all_417_0_911 = 0 % 214.97/149.08 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 214.97/149.08 | (536) all_212_1_107 = e % 214.97/149.08 | % 214.97/149.08 | From (536) and (310) follows: % 214.97/149.08 | (537) mem(all_244_1_112, e) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 214.97/149.08 | (538) $false % 214.97/149.08 | % 214.97/149.08 |-The branch is then unsatisfiable % 214.97/149.08 |-Branch two: % 214.97/149.08 | (4309) all_417_0_911 = 0 & mem(all_212_1_107, e) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4309) yields: % 214.97/149.08 | (4304) all_417_0_911 = 0 % 214.97/149.08 | (541) mem(all_212_1_107, e) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 214.97/149.08 | (538) $false % 214.97/149.08 | % 214.97/149.08 |-The branch is then unsatisfiable % 214.97/149.08 |-Branch two: % 214.97/149.08 | (4313) all_343_0_884 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4313) yields: % 214.97/149.08 | (4287) all_343_0_884 = 0 % 214.97/149.08 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 214.97/149.08 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 214.97/149.08 | % 214.97/149.08 | Instantiating (546) with all_406_0_914 yields: % 214.97/149.08 | (4317) (all_406_0_914 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_406_0_914 = 0 & mem(all_181_1_101, e) = 0) % 214.97/149.08 | % 214.97/149.08 +-Applying beta-rule and splitting (4285), into two cases. % 214.97/149.08 |-Branch one: % 214.97/149.08 | (4318) all_392_0_908 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 214.97/149.08 | % 214.97/149.08 | Applying alpha-rule on (4318) yields: % 214.97/149.08 | (4319) all_392_0_908 = 0 % 214.97/149.08 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 214.97/149.08 | % 214.97/149.08 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 214.97/149.08 | (1953) all_110_1_81 = e % 214.97/149.08 | % 214.97/149.08 | From (1953) and (210) follows: % 214.97/149.08 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 214.97/149.08 | % 215.25/149.08 +-Applying beta-rule and splitting (4317), into two cases. % 215.25/149.08 |-Branch one: % 215.25/149.08 | (4323) all_406_0_914 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.25/149.08 | % 215.25/149.08 | Applying alpha-rule on (4323) yields: % 215.25/149.08 | (4324) all_406_0_914 = 0 % 215.25/149.08 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.25/149.08 | % 215.25/149.08 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.25/149.08 | (588) all_181_1_101 = e % 215.25/149.08 | % 215.25/149.08 | From (588) and (267) follows: % 215.25/149.08 | (1959) mem(e, all_74_1_69) = 0 % 215.25/149.08 | % 215.25/149.08 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.25/149.08 | (233) all_110_0_80 = 0 % 215.25/149.08 | % 215.25/149.08 | Equations (233) can reduce 209 to: % 215.25/149.08 | (175) $false % 215.25/149.08 | % 215.25/149.08 |-The branch is then unsatisfiable % 215.25/149.08 |-Branch two: % 215.25/149.08 | (4330) all_406_0_914 = 0 & mem(all_181_1_101, e) = 0 % 215.25/149.08 | % 215.25/149.08 | Applying alpha-rule on (4330) yields: % 215.25/149.08 | (4324) all_406_0_914 = 0 % 215.25/149.08 | (603) mem(all_181_1_101, e) = 0 % 215.25/149.08 | % 215.25/149.08 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.25/149.08 | (538) $false % 215.25/149.08 | % 215.25/149.08 |-The branch is then unsatisfiable % 215.25/149.09 |-Branch two: % 215.25/149.09 | (4334) all_392_0_908 = 0 & mem(all_110_1_81, e) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4334) yields: % 215.25/149.09 | (4319) all_392_0_908 = 0 % 215.25/149.09 | (1968) mem(all_110_1_81, e) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.25/149.09 | (538) $false % 215.25/149.09 | % 215.25/149.09 |-The branch is then unsatisfiable % 215.25/149.09 |-Branch two: % 215.25/149.09 | (3998) all_308_0_823 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (3998) yields: % 215.25/149.09 | (3992) all_308_0_823 = 0 % 215.25/149.09 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 215.25/149.09 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 215.25/149.09 | % 215.25/149.09 | Instantiating (502) with all_351_0_916 yields: % 215.25/149.09 | (4342) (all_351_0_916 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_916 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 215.25/149.09 | % 215.25/149.09 +-Applying beta-rule and splitting (4108), into two cases. % 215.25/149.09 |-Branch one: % 215.25/149.09 | (4138) all_324_0_856 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4138) yields: % 215.25/149.09 | (4139) all_324_0_856 = 0 % 215.25/149.09 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.25/149.09 | (1884) all_110_1_81 = all_0_6_6 % 215.25/149.09 | % 215.25/149.09 | From (1884) and (210) follows: % 215.25/149.09 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.25/149.09 | % 215.25/149.09 +-Applying beta-rule and splitting (4231), into two cases. % 215.25/149.09 |-Branch one: % 215.25/149.09 | (4286) all_343_0_884 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4286) yields: % 215.25/149.09 | (4287) all_343_0_884 = 0 % 215.25/149.09 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.25/149.09 | (519) all_181_1_101 = all_0_6_6 % 215.25/149.09 | % 215.25/149.09 | From (519) and (267) follows: % 215.25/149.09 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.25/149.09 | (233) all_110_0_80 = 0 % 215.25/149.09 | % 215.25/149.09 | Equations (233) can reduce 209 to: % 215.25/149.09 | (175) $false % 215.25/149.09 | % 215.25/149.09 |-The branch is then unsatisfiable % 215.25/149.09 |-Branch two: % 215.25/149.09 | (4313) all_343_0_884 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4313) yields: % 215.25/149.09 | (4287) all_343_0_884 = 0 % 215.25/149.09 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.25/149.09 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.25/149.09 | % 215.25/149.09 | Instantiating (546) with all_389_0_921 yields: % 215.25/149.09 | (4359) (all_389_0_921 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_389_0_921 = 0 & mem(all_181_1_101, e) = 0) % 215.25/149.09 | % 215.25/149.09 +-Applying beta-rule and splitting (4342), into two cases. % 215.25/149.09 |-Branch one: % 215.25/149.09 | (4360) all_351_0_916 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4360) yields: % 215.25/149.09 | (4361) all_351_0_916 = 0 % 215.25/149.09 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.25/149.09 | (551) all_165_2_96 = all_0_6_6 % 215.25/149.09 | % 215.25/149.09 | From (551) and (288) follows: % 215.25/149.09 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.25/149.09 | (233) all_110_0_80 = 0 % 215.25/149.09 | % 215.25/149.09 | Equations (233) can reduce 209 to: % 215.25/149.09 | (175) $false % 215.25/149.09 | % 215.25/149.09 |-The branch is then unsatisfiable % 215.25/149.09 |-Branch two: % 215.25/149.09 | (4367) all_351_0_916 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4367) yields: % 215.25/149.09 | (4361) all_351_0_916 = 0 % 215.25/149.09 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.25/149.09 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.25/149.09 | % 215.25/149.09 | Instantiating (583) with all_397_0_922 yields: % 215.25/149.09 | (4371) (all_397_0_922 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_922 = 0 & mem(all_165_2_96, e) = 0) % 215.25/149.09 | % 215.25/149.09 +-Applying beta-rule and splitting (4359), into two cases. % 215.25/149.09 |-Branch one: % 215.25/149.09 | (4372) all_389_0_921 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4372) yields: % 215.25/149.09 | (4373) all_389_0_921 = 0 % 215.25/149.09 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.25/149.09 | (588) all_181_1_101 = e % 215.25/149.09 | % 215.25/149.09 | From (588) and (259) follows: % 215.25/149.09 | (589) mem(e, all_129_1_85) = all_181_0_100 % 215.25/149.09 | % 215.25/149.09 +-Applying beta-rule and splitting (4371), into two cases. % 215.25/149.09 |-Branch one: % 215.25/149.09 | (4377) all_397_0_922 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4377) yields: % 215.25/149.09 | (4378) all_397_0_922 = 0 % 215.25/149.09 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.25/149.09 | (593) all_165_2_96 = e % 215.25/149.09 | % 215.25/149.09 | From (593) and (248) follows: % 215.25/149.09 | (594) mem(e, all_129_1_85) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 215.25/149.09 | (526) all_181_0_100 = 0 % 215.25/149.09 | % 215.25/149.09 | Equations (526) can reduce 258 to: % 215.25/149.09 | (175) $false % 215.25/149.09 | % 215.25/149.09 |-The branch is then unsatisfiable % 215.25/149.09 |-Branch two: % 215.25/149.09 | (4384) all_397_0_922 = 0 & mem(all_165_2_96, e) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4384) yields: % 215.25/149.09 | (4378) all_397_0_922 = 0 % 215.25/149.09 | (599) mem(all_165_2_96, e) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.25/149.09 | (538) $false % 215.25/149.09 | % 215.25/149.09 |-The branch is then unsatisfiable % 215.25/149.09 |-Branch two: % 215.25/149.09 | (4388) all_389_0_921 = 0 & mem(all_181_1_101, e) = 0 % 215.25/149.09 | % 215.25/149.09 | Applying alpha-rule on (4388) yields: % 215.25/149.09 | (4373) all_389_0_921 = 0 % 215.25/149.09 | (603) mem(all_181_1_101, e) = 0 % 215.25/149.09 | % 215.25/149.09 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.25/149.09 | (538) $false % 215.25/149.09 | % 215.25/149.09 |-The branch is then unsatisfiable % 215.25/149.09 |-Branch two: % 215.25/149.09 | (4165) all_324_0_856 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.25/149.09 | % 215.25/149.10 | Applying alpha-rule on (4165) yields: % 215.25/149.10 | (4139) all_324_0_856 = 0 % 215.25/149.10 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.25/149.10 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.25/149.10 | % 215.25/149.10 | Instantiating (1911) with all_377_0_925 yields: % 215.25/149.10 | (4396) (all_377_0_925 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_377_0_925 = 0 & mem(all_110_1_81, e) = 0) % 215.25/149.10 | % 215.25/149.10 +-Applying beta-rule and splitting (4231), into two cases. % 215.25/149.10 |-Branch one: % 215.25/149.10 | (4286) all_343_0_884 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4286) yields: % 215.25/149.10 | (4287) all_343_0_884 = 0 % 215.25/149.10 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.25/149.10 | (519) all_181_1_101 = all_0_6_6 % 215.25/149.10 | % 215.25/149.10 | From (519) and (259) follows: % 215.25/149.10 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 215.25/149.10 | % 215.25/149.10 +-Applying beta-rule and splitting (4342), into two cases. % 215.25/149.10 |-Branch one: % 215.25/149.10 | (4360) all_351_0_916 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4360) yields: % 215.25/149.10 | (4361) all_351_0_916 = 0 % 215.25/149.10 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.25/149.10 | (551) all_165_2_96 = all_0_6_6 % 215.25/149.10 | % 215.25/149.10 | From (551) and (248) follows: % 215.25/149.10 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 215.25/149.10 | (526) all_181_0_100 = 0 % 215.25/149.10 | % 215.25/149.10 | Equations (526) can reduce 258 to: % 215.25/149.10 | (175) $false % 215.25/149.10 | % 215.25/149.10 |-The branch is then unsatisfiable % 215.25/149.10 |-Branch two: % 215.25/149.10 | (4367) all_351_0_916 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4367) yields: % 215.25/149.10 | (4361) all_351_0_916 = 0 % 215.25/149.10 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.25/149.10 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.25/149.10 | % 215.25/149.10 | Instantiating (583) with all_397_0_927 yields: % 215.25/149.10 | (4413) (all_397_0_927 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_927 = 0 & mem(all_165_2_96, e) = 0) % 215.25/149.10 | % 215.25/149.10 +-Applying beta-rule and splitting (4396), into two cases. % 215.25/149.10 |-Branch one: % 215.25/149.10 | (4414) all_377_0_925 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4414) yields: % 215.25/149.10 | (4415) all_377_0_925 = 0 % 215.25/149.10 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.25/149.10 | (1953) all_110_1_81 = e % 215.25/149.10 | % 215.25/149.10 | From (1953) and (210) follows: % 215.25/149.10 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.25/149.10 | % 215.25/149.10 +-Applying beta-rule and splitting (4413), into two cases. % 215.25/149.10 |-Branch one: % 215.25/149.10 | (4419) all_397_0_927 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4419) yields: % 215.25/149.10 | (4420) all_397_0_927 = 0 % 215.25/149.10 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.25/149.10 | (593) all_165_2_96 = e % 215.25/149.10 | % 215.25/149.10 | From (593) and (288) follows: % 215.25/149.10 | (1959) mem(e, all_74_1_69) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.25/149.10 | (233) all_110_0_80 = 0 % 215.25/149.10 | % 215.25/149.10 | Equations (233) can reduce 209 to: % 215.25/149.10 | (175) $false % 215.25/149.10 | % 215.25/149.10 |-The branch is then unsatisfiable % 215.25/149.10 |-Branch two: % 215.25/149.10 | (4426) all_397_0_927 = 0 & mem(all_165_2_96, e) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4426) yields: % 215.25/149.10 | (4420) all_397_0_927 = 0 % 215.25/149.10 | (599) mem(all_165_2_96, e) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.25/149.10 | (538) $false % 215.25/149.10 | % 215.25/149.10 |-The branch is then unsatisfiable % 215.25/149.10 |-Branch two: % 215.25/149.10 | (4430) all_377_0_925 = 0 & mem(all_110_1_81, e) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4430) yields: % 215.25/149.10 | (4415) all_377_0_925 = 0 % 215.25/149.10 | (1968) mem(all_110_1_81, e) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.25/149.10 | (538) $false % 215.25/149.10 | % 215.25/149.10 |-The branch is then unsatisfiable % 215.25/149.10 |-Branch two: % 215.25/149.10 | (4313) all_343_0_884 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4313) yields: % 215.25/149.10 | (4287) all_343_0_884 = 0 % 215.25/149.10 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.25/149.10 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.25/149.10 | % 215.25/149.10 | Instantiating (546) with all_386_0_928 yields: % 215.25/149.10 | (4438) (all_386_0_928 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_386_0_928 = 0 & mem(all_181_1_101, e) = 0) % 215.25/149.10 | % 215.25/149.10 +-Applying beta-rule and splitting (4396), into two cases. % 215.25/149.10 |-Branch one: % 215.25/149.10 | (4414) all_377_0_925 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4414) yields: % 215.25/149.10 | (4415) all_377_0_925 = 0 % 215.25/149.10 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.25/149.10 | (1953) all_110_1_81 = e % 215.25/149.10 | % 215.25/149.10 | From (1953) and (210) follows: % 215.25/149.10 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.25/149.10 | % 215.25/149.10 +-Applying beta-rule and splitting (4438), into two cases. % 215.25/149.10 |-Branch one: % 215.25/149.10 | (4444) all_386_0_928 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4444) yields: % 215.25/149.10 | (4445) all_386_0_928 = 0 % 215.25/149.10 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.25/149.10 | (588) all_181_1_101 = e % 215.25/149.10 | % 215.25/149.10 | From (588) and (267) follows: % 215.25/149.10 | (1959) mem(e, all_74_1_69) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.25/149.10 | (233) all_110_0_80 = 0 % 215.25/149.10 | % 215.25/149.10 | Equations (233) can reduce 209 to: % 215.25/149.10 | (175) $false % 215.25/149.10 | % 215.25/149.10 |-The branch is then unsatisfiable % 215.25/149.10 |-Branch two: % 215.25/149.10 | (4451) all_386_0_928 = 0 & mem(all_181_1_101, e) = 0 % 215.25/149.10 | % 215.25/149.10 | Applying alpha-rule on (4451) yields: % 215.25/149.10 | (4445) all_386_0_928 = 0 % 215.25/149.10 | (603) mem(all_181_1_101, e) = 0 % 215.25/149.10 | % 215.25/149.10 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.25/149.10 | (538) $false % 215.25/149.10 | % 215.25/149.10 |-The branch is then unsatisfiable % 215.25/149.10 |-Branch two: % 215.25/149.10 | (4430) all_377_0_925 = 0 & mem(all_110_1_81, e) = 0 % 215.25/149.10 | % 215.25/149.11 | Applying alpha-rule on (4430) yields: % 215.25/149.11 | (4415) all_377_0_925 = 0 % 215.25/149.11 | (1968) mem(all_110_1_81, e) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.25/149.11 | (538) $false % 215.25/149.11 | % 215.25/149.11 |-The branch is then unsatisfiable % 215.25/149.11 |-Branch two: % 215.25/149.11 | (362) all_227_0_109 = 0 & mem(all_135_1_87, all_0_4_4) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (362) yields: % 215.25/149.11 | (332) all_227_0_109 = 0 % 215.25/149.11 | (364) mem(all_135_1_87, all_0_4_4) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_135_1_87, all_0_4_4) = 0, yields: % 215.25/149.11 | (365) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_5_5) = 0)) % 215.25/149.11 | % 215.25/149.11 | Instantiating (365) with all_292_0_942 yields: % 215.25/149.11 | (4463) (all_292_0_942 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (all_292_0_942 = 0 & mem(all_135_1_87, all_0_5_5) = 0) % 215.25/149.11 | % 215.25/149.11 +-Applying beta-rule and splitting (315), into two cases. % 215.25/149.11 |-Branch one: % 215.25/149.11 | (367) all_252_0_113 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (367) yields: % 215.25/149.11 | (368) all_252_0_113 = 0 % 215.25/149.11 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 215.25/149.11 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 215.25/149.11 | % 215.25/149.11 | Instantiating (370) with all_300_0_943 yields: % 215.25/149.11 | (4468) (all_300_0_943 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_943 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 215.25/149.11 | % 215.25/149.11 +-Applying beta-rule and splitting (318), into two cases. % 215.25/149.11 |-Branch one: % 215.25/149.11 | (403) all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (403) yields: % 215.25/149.11 | (404) all_259_0_114 = 0 % 215.25/149.11 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 215.25/149.11 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 215.25/149.11 | % 215.25/149.11 | Instantiating (406) with all_308_0_944 yields: % 215.25/149.11 | (4473) (all_308_0_944 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_944 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 215.25/149.11 | % 215.25/149.11 +-Applying beta-rule and splitting (4468), into two cases. % 215.25/149.11 |-Branch one: % 215.25/149.11 | (4474) all_300_0_943 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (4474) yields: % 215.25/149.11 | (4475) all_300_0_943 = 0 % 215.25/149.11 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 215.25/149.11 | (387) all_181_1_101 = all_0_2_2 % 215.25/149.11 | % 215.25/149.11 | From (387) and (259) follows: % 215.25/149.11 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 215.25/149.11 | % 215.25/149.11 +-Applying beta-rule and splitting (4473), into two cases. % 215.25/149.11 |-Branch one: % 215.25/149.11 | (4479) all_308_0_944 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (4479) yields: % 215.25/149.11 | (4480) all_308_0_944 = 0 % 215.25/149.11 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 215.25/149.11 | (423) all_165_2_96 = all_0_2_2 % 215.25/149.11 | % 215.25/149.11 | From (423) and (248) follows: % 215.25/149.11 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 215.25/149.11 | (526) all_181_0_100 = 0 % 215.25/149.11 | % 215.25/149.11 | Equations (526) can reduce 258 to: % 215.25/149.11 | (175) $false % 215.25/149.11 | % 215.25/149.11 |-The branch is then unsatisfiable % 215.25/149.11 |-Branch two: % 215.25/149.11 | (4486) all_308_0_944 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (4486) yields: % 215.25/149.11 | (4480) all_308_0_944 = 0 % 215.25/149.11 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 215.25/149.11 | (430) all_165_2_96 = all_0_3_3 % 215.25/149.11 | % 215.25/149.11 | From (430) and (303) follows: % 215.25/149.11 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 215.25/149.11 | (212) all_85_0_72 = 0 % 215.25/149.11 | % 215.25/149.11 | Equations (212) can reduce 183 to: % 215.25/149.11 | (175) $false % 215.25/149.11 | % 215.25/149.11 |-The branch is then unsatisfiable % 215.25/149.11 |-Branch two: % 215.25/149.11 | (4493) all_300_0_943 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (4493) yields: % 215.25/149.11 | (4475) all_300_0_943 = 0 % 215.25/149.11 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 215.25/149.11 | (394) all_181_1_101 = all_0_3_3 % 215.25/149.11 | % 215.25/149.11 | From (394) and (287) follows: % 215.25/149.11 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 215.25/149.11 | (212) all_85_0_72 = 0 % 215.25/149.11 | % 215.25/149.11 | Equations (212) can reduce 183 to: % 215.25/149.11 | (175) $false % 215.25/149.11 | % 215.25/149.11 |-The branch is then unsatisfiable % 215.25/149.11 |-Branch two: % 215.25/149.11 | (434) all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (434) yields: % 215.25/149.11 | (404) all_259_0_114 = 0 % 215.25/149.11 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 215.25/149.11 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 215.25/149.11 | % 215.25/149.11 | Instantiating (437) with all_308_0_947 yields: % 215.25/149.11 | (4504) (all_308_0_947 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_947 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 215.25/149.11 | % 215.25/149.11 +-Applying beta-rule and splitting (320), into two cases. % 215.25/149.11 |-Branch one: % 215.25/149.11 | (439) all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (439) yields: % 215.25/149.11 | (440) all_265_0_115 = 0 % 215.25/149.11 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 215.25/149.11 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 215.25/149.11 | % 215.25/149.11 | Instantiating (442) with all_316_0_948 yields: % 215.25/149.11 | (4509) (all_316_0_948 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_948 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 215.25/149.11 | % 215.25/149.11 +-Applying beta-rule and splitting (4468), into two cases. % 215.25/149.11 |-Branch one: % 215.25/149.11 | (4474) all_300_0_943 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 215.25/149.11 | % 215.25/149.11 | Applying alpha-rule on (4474) yields: % 215.25/149.11 | (4475) all_300_0_943 = 0 % 215.25/149.11 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 215.25/149.11 | % 215.25/149.11 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 215.25/149.11 | (387) all_181_1_101 = all_0_2_2 % 215.25/149.11 | % 215.25/149.11 | From (387) and (259) follows: % 215.25/149.12 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 215.25/149.12 | % 215.25/149.12 +-Applying beta-rule and splitting (4509), into two cases. % 215.25/149.12 |-Branch one: % 215.25/149.12 | (4515) all_316_0_948 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 215.25/149.12 | % 215.25/149.12 | Applying alpha-rule on (4515) yields: % 215.25/149.12 | (4516) all_316_0_948 = 0 % 215.25/149.12 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 215.25/149.12 | (459) all_212_1_107 = all_0_2_2 % 215.25/149.12 | % 215.25/149.12 | From (459) and (281) follows: % 215.25/149.12 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 215.25/149.12 | (526) all_181_0_100 = 0 % 215.25/149.12 | % 215.25/149.12 | Equations (526) can reduce 258 to: % 215.25/149.12 | (175) $false % 215.25/149.12 | % 215.25/149.12 |-The branch is then unsatisfiable % 215.25/149.12 |-Branch two: % 215.25/149.12 | (4522) all_316_0_948 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 215.25/149.12 | % 215.25/149.12 | Applying alpha-rule on (4522) yields: % 215.25/149.12 | (4516) all_316_0_948 = 0 % 215.25/149.12 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 215.25/149.12 | (466) all_212_1_107 = all_0_3_3 % 215.25/149.12 | % 215.25/149.12 | From (466) and (312) follows: % 215.25/149.12 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 215.25/149.12 | (212) all_85_0_72 = 0 % 215.25/149.12 | % 215.25/149.12 | Equations (212) can reduce 183 to: % 215.25/149.12 | (175) $false % 215.25/149.12 | % 215.25/149.12 |-The branch is then unsatisfiable % 215.25/149.12 |-Branch two: % 215.25/149.12 | (4493) all_300_0_943 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 215.25/149.12 | % 215.25/149.12 | Applying alpha-rule on (4493) yields: % 215.25/149.12 | (4475) all_300_0_943 = 0 % 215.25/149.12 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 215.25/149.12 | (394) all_181_1_101 = all_0_3_3 % 215.25/149.12 | % 215.25/149.12 | From (394) and (287) follows: % 215.25/149.12 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 215.25/149.12 | (212) all_85_0_72 = 0 % 215.25/149.12 | % 215.25/149.12 | Equations (212) can reduce 183 to: % 215.25/149.12 | (175) $false % 215.25/149.12 | % 215.25/149.12 |-The branch is then unsatisfiable % 215.25/149.12 |-Branch two: % 215.25/149.12 | (470) all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 215.25/149.12 | % 215.25/149.12 | Applying alpha-rule on (470) yields: % 215.25/149.12 | (440) all_265_0_115 = 0 % 215.25/149.12 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 215.25/149.12 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 215.25/149.12 | % 215.25/149.12 | Instantiating (473) with all_316_0_951 yields: % 215.25/149.12 | (4540) (all_316_0_951 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_951 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 215.25/149.12 | % 215.25/149.12 +-Applying beta-rule and splitting (1598), into two cases. % 215.25/149.12 |-Branch one: % 215.25/149.12 | (1717) all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 215.25/149.12 | % 215.25/149.12 | Applying alpha-rule on (1717) yields: % 215.25/149.12 | (1718) all_273_0_379 = 0 % 215.25/149.12 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 215.25/149.12 | (1720) all_110_1_81 = all_0_5_5 % 215.25/149.12 | % 215.25/149.12 | From (1720) and (210) follows: % 215.25/149.12 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 215.25/149.12 | % 215.25/149.12 +-Applying beta-rule and splitting (4463), into two cases. % 215.25/149.12 |-Branch one: % 215.25/149.12 | (4546) all_292_0_942 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 215.25/149.12 | % 215.25/149.12 | Applying alpha-rule on (4546) yields: % 215.25/149.12 | (4547) all_292_0_942 = 0 % 215.25/149.12 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 215.25/149.12 | (478) all_135_1_87 = all_0_5_5 % 215.25/149.12 | % 215.25/149.12 | From (478) and (232) follows: % 215.25/149.12 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.25/149.12 | (233) all_110_0_80 = 0 % 215.25/149.12 | % 215.25/149.12 | Equations (233) can reduce 209 to: % 215.25/149.12 | (175) $false % 215.25/149.12 | % 215.25/149.12 |-The branch is then unsatisfiable % 215.25/149.12 |-Branch two: % 215.25/149.12 | (4553) all_292_0_942 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 215.25/149.12 | % 215.25/149.12 | Applying alpha-rule on (4553) yields: % 215.25/149.12 | (4547) all_292_0_942 = 0 % 215.25/149.12 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 215.25/149.12 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 215.25/149.12 | % 215.25/149.12 | Instantiating (608) with all_335_0_952 yields: % 215.25/149.12 | (4557) (all_335_0_952 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_952 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 215.25/149.12 | % 215.25/149.12 +-Applying beta-rule and splitting (4504), into two cases. % 215.25/149.12 |-Branch one: % 215.25/149.12 | (4558) all_308_0_947 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 215.25/149.12 | % 215.25/149.12 | Applying alpha-rule on (4558) yields: % 215.25/149.12 | (4559) all_308_0_947 = 0 % 215.25/149.12 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 215.25/149.12 | (495) all_165_2_96 = all_0_5_5 % 215.25/149.12 | % 215.25/149.12 | From (495) and (288) follows: % 215.25/149.12 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.25/149.12 | % 215.25/149.12 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.25/149.12 | (233) all_110_0_80 = 0 % 215.25/149.12 | % 215.25/149.13 | Equations (233) can reduce 209 to: % 215.25/149.13 | (175) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (4565) all_308_0_947 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4565) yields: % 215.25/149.13 | (4559) all_308_0_947 = 0 % 215.25/149.13 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 215.25/149.13 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 215.25/149.13 | % 215.25/149.13 | Instantiating (502) with all_354_0_953 yields: % 215.25/149.13 | (4569) (all_354_0_953 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_953 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 215.25/149.13 | % 215.25/149.13 +-Applying beta-rule and splitting (4540), into two cases. % 215.25/149.13 |-Branch one: % 215.25/149.13 | (4570) all_316_0_951 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4570) yields: % 215.25/149.13 | (4571) all_316_0_951 = 0 % 215.25/149.13 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 215.25/149.13 | (507) all_212_1_107 = all_0_5_5 % 215.25/149.13 | % 215.25/149.13 | From (507) and (301) follows: % 215.25/149.13 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.25/149.13 | (233) all_110_0_80 = 0 % 215.25/149.13 | % 215.25/149.13 | Equations (233) can reduce 209 to: % 215.25/149.13 | (175) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (4577) all_316_0_951 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4577) yields: % 215.25/149.13 | (4571) all_316_0_951 = 0 % 215.25/149.13 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 215.25/149.13 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 215.25/149.13 | % 215.25/149.13 | Instantiating (514) with all_362_0_954 yields: % 215.25/149.13 | (4581) (all_362_0_954 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_954 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 215.25/149.13 | % 215.25/149.13 +-Applying beta-rule and splitting (4557), into two cases. % 215.25/149.13 |-Branch one: % 215.25/149.13 | (4582) all_335_0_952 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4582) yields: % 215.25/149.13 | (4583) all_335_0_952 = 0 % 215.25/149.13 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.25/149.13 | (642) all_135_1_87 = all_0_6_6 % 215.25/149.13 | % 215.25/149.13 | From (642) and (231) follows: % 215.25/149.13 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 215.25/149.13 | % 215.25/149.13 +-Applying beta-rule and splitting (4581), into two cases. % 215.25/149.13 |-Branch one: % 215.25/149.13 | (4587) all_362_0_954 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4587) yields: % 215.25/149.13 | (4588) all_362_0_954 = 0 % 215.25/149.13 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.25/149.13 | (524) all_212_1_107 = all_0_6_6 % 215.25/149.13 | % 215.25/149.13 | From (524) and (286) follows: % 215.25/149.13 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.25/149.13 | (261) all_135_0_86 = 0 % 215.25/149.13 | % 215.25/149.13 | Equations (261) can reduce 230 to: % 215.25/149.13 | (175) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (4594) all_362_0_954 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4594) yields: % 215.25/149.13 | (4588) all_362_0_954 = 0 % 215.25/149.13 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.25/149.13 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.25/149.13 | % 215.25/149.13 | Instantiating (531) with all_389_0_956 yields: % 215.25/149.13 | (4598) (all_389_0_956 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_956 = 0 & mem(all_212_1_107, e) = 0) % 215.25/149.13 | % 215.25/149.13 +-Applying beta-rule and splitting (4598), into two cases. % 215.25/149.13 |-Branch one: % 215.25/149.13 | (4599) all_389_0_956 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4599) yields: % 215.25/149.13 | (4600) all_389_0_956 = 0 % 215.25/149.13 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.25/149.13 | (536) all_212_1_107 = e % 215.25/149.13 | % 215.25/149.13 | From (536) and (310) follows: % 215.25/149.13 | (537) mem(all_244_1_112, e) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.25/149.13 | (538) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (4605) all_389_0_956 = 0 & mem(all_212_1_107, e) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4605) yields: % 215.25/149.13 | (4600) all_389_0_956 = 0 % 215.25/149.13 | (541) mem(all_212_1_107, e) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.25/149.13 | (538) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (4609) all_335_0_952 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4609) yields: % 215.25/149.13 | (4583) all_335_0_952 = 0 % 215.25/149.13 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.25/149.13 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.25/149.13 | % 215.25/149.13 | Instantiating (669) with all_370_0_961 yields: % 215.25/149.13 | (4613) (all_370_0_961 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_370_0_961 = 0 & mem(all_135_1_87, e) = 0) % 215.25/149.13 | % 215.25/149.13 +-Applying beta-rule and splitting (4569), into two cases. % 215.25/149.13 |-Branch one: % 215.25/149.13 | (4614) all_354_0_953 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4614) yields: % 215.25/149.13 | (4615) all_354_0_953 = 0 % 215.25/149.13 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.25/149.13 | (551) all_165_2_96 = all_0_6_6 % 215.25/149.13 | % 215.25/149.13 | From (551) and (311) follows: % 215.25/149.13 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 215.25/149.13 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 215.25/149.13 | % 215.25/149.13 +-Applying beta-rule and splitting (4581), into two cases. % 215.25/149.13 |-Branch one: % 215.25/149.13 | (4587) all_362_0_954 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4587) yields: % 215.25/149.13 | (4588) all_362_0_954 = 0 % 215.25/149.13 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.13 | % 215.25/149.13 +-Applying beta-rule and splitting (553), into two cases. % 215.25/149.13 |-Branch one: % 215.25/149.13 | (557) all_244_0_111 = 0 % 215.25/149.13 | % 215.25/149.13 | Equations (557) can reduce 309 to: % 215.25/149.13 | (175) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (309) ~ (all_244_0_111 = 0) % 215.25/149.13 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.25/149.13 | (524) all_212_1_107 = all_0_6_6 % 215.25/149.13 | % 215.25/149.13 | From (524) and (310) follows: % 215.25/149.13 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 215.25/149.13 | (557) all_244_0_111 = 0 % 215.25/149.13 | % 215.25/149.13 | Equations (557) can reduce 309 to: % 215.25/149.13 | (175) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (4594) all_362_0_954 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4594) yields: % 215.25/149.13 | (4588) all_362_0_954 = 0 % 215.25/149.13 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.25/149.13 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.25/149.13 | % 215.25/149.13 | Instantiating (531) with all_400_0_970 yields: % 215.25/149.13 | (4635) (all_400_0_970 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_970 = 0 & mem(all_212_1_107, e) = 0) % 215.25/149.13 | % 215.25/149.13 +-Applying beta-rule and splitting (4635), into two cases. % 215.25/149.13 |-Branch one: % 215.25/149.13 | (4636) all_400_0_970 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4636) yields: % 215.25/149.13 | (4637) all_400_0_970 = 0 % 215.25/149.13 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.25/149.13 | (536) all_212_1_107 = e % 215.25/149.13 | % 215.25/149.13 | From (536) and (310) follows: % 215.25/149.13 | (537) mem(all_244_1_112, e) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.25/149.13 | (538) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (4642) all_400_0_970 = 0 & mem(all_212_1_107, e) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4642) yields: % 215.25/149.13 | (4637) all_400_0_970 = 0 % 215.25/149.13 | (541) mem(all_212_1_107, e) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.25/149.13 | (538) $false % 215.25/149.13 | % 215.25/149.13 |-The branch is then unsatisfiable % 215.25/149.13 |-Branch two: % 215.25/149.13 | (4646) all_354_0_953 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Applying alpha-rule on (4646) yields: % 215.25/149.13 | (4615) all_354_0_953 = 0 % 215.25/149.13 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.25/149.13 | % 215.25/149.13 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.25/149.14 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.25/149.14 | % 215.25/149.14 | Instantiating (583) with all_378_0_973 yields: % 215.25/149.14 | (4650) (all_378_0_973 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_973 = 0 & mem(all_165_2_96, e) = 0) % 215.25/149.14 | % 215.25/149.14 +-Applying beta-rule and splitting (4613), into two cases. % 215.25/149.14 |-Branch one: % 215.25/149.14 | (4651) all_370_0_961 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4651) yields: % 215.25/149.14 | (4652) all_370_0_961 = 0 % 215.25/149.14 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.25/149.14 | (711) all_135_1_87 = e % 215.25/149.14 | % 215.25/149.14 | From (711) and (231) follows: % 215.25/149.14 | (712) mem(e, all_99_1_77) = all_135_0_86 % 215.25/149.14 | % 215.25/149.14 +-Applying beta-rule and splitting (4650), into two cases. % 215.25/149.14 |-Branch one: % 215.25/149.14 | (4656) all_378_0_973 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4656) yields: % 215.25/149.14 | (4657) all_378_0_973 = 0 % 215.25/149.14 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.25/149.14 | (593) all_165_2_96 = e % 215.25/149.14 | % 215.25/149.14 | From (593) and (268) follows: % 215.25/149.14 | (717) mem(e, all_99_1_77) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 215.25/149.14 | (261) all_135_0_86 = 0 % 215.25/149.14 | % 215.25/149.14 | Equations (261) can reduce 230 to: % 215.25/149.14 | (175) $false % 215.25/149.14 | % 215.25/149.14 |-The branch is then unsatisfiable % 215.25/149.14 |-Branch two: % 215.25/149.14 | (4663) all_378_0_973 = 0 & mem(all_165_2_96, e) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4663) yields: % 215.25/149.14 | (4657) all_378_0_973 = 0 % 215.25/149.14 | (599) mem(all_165_2_96, e) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.25/149.14 | (538) $false % 215.25/149.14 | % 215.25/149.14 |-The branch is then unsatisfiable % 215.25/149.14 |-Branch two: % 215.25/149.14 | (4667) all_370_0_961 = 0 & mem(all_135_1_87, e) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4667) yields: % 215.25/149.14 | (4652) all_370_0_961 = 0 % 215.25/149.14 | (726) mem(all_135_1_87, e) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.25/149.14 | (538) $false % 215.25/149.14 | % 215.25/149.14 |-The branch is then unsatisfiable % 215.25/149.14 |-Branch two: % 215.25/149.14 | (1847) all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (1847) yields: % 215.25/149.14 | (1718) all_273_0_379 = 0 % 215.25/149.14 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 215.25/149.14 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 215.25/149.14 | % 215.25/149.14 | Instantiating (1850) with all_324_0_980 yields: % 215.25/149.14 | (4675) (all_324_0_980 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_980 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 215.25/149.14 | % 215.25/149.14 +-Applying beta-rule and splitting (4463), into two cases. % 215.25/149.14 |-Branch one: % 215.25/149.14 | (4546) all_292_0_942 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4546) yields: % 215.25/149.14 | (4547) all_292_0_942 = 0 % 215.25/149.14 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 215.25/149.14 | (478) all_135_1_87 = all_0_5_5 % 215.25/149.14 | % 215.25/149.14 | From (478) and (231) follows: % 215.25/149.14 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 215.25/149.14 | % 215.25/149.14 +-Applying beta-rule and splitting (4504), into two cases. % 215.25/149.14 |-Branch one: % 215.25/149.14 | (4558) all_308_0_947 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4558) yields: % 215.25/149.14 | (4559) all_308_0_947 = 0 % 215.25/149.14 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 215.25/149.14 | (495) all_165_2_96 = all_0_5_5 % 215.25/149.14 | % 215.25/149.14 | From (495) and (268) follows: % 215.25/149.14 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 215.25/149.14 | (261) all_135_0_86 = 0 % 215.25/149.14 | % 215.25/149.14 | Equations (261) can reduce 230 to: % 215.25/149.14 | (175) $false % 215.25/149.14 | % 215.25/149.14 |-The branch is then unsatisfiable % 215.25/149.14 |-Branch two: % 215.25/149.14 | (4565) all_308_0_947 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4565) yields: % 215.25/149.14 | (4559) all_308_0_947 = 0 % 215.25/149.14 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 215.25/149.14 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 215.25/149.14 | % 215.25/149.14 | Instantiating (502) with all_354_0_981 yields: % 215.25/149.14 | (4692) (all_354_0_981 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_981 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 215.25/149.14 | % 215.25/149.14 +-Applying beta-rule and splitting (4540), into two cases. % 215.25/149.14 |-Branch one: % 215.25/149.14 | (4570) all_316_0_951 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4570) yields: % 215.25/149.14 | (4571) all_316_0_951 = 0 % 215.25/149.14 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 215.25/149.14 | (507) all_212_1_107 = all_0_5_5 % 215.25/149.14 | % 215.25/149.14 | From (507) and (286) follows: % 215.25/149.14 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 215.25/149.14 | (261) all_135_0_86 = 0 % 215.25/149.14 | % 215.25/149.14 | Equations (261) can reduce 230 to: % 215.25/149.14 | (175) $false % 215.25/149.14 | % 215.25/149.14 |-The branch is then unsatisfiable % 215.25/149.14 |-Branch two: % 215.25/149.14 | (4577) all_316_0_951 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4577) yields: % 215.25/149.14 | (4571) all_316_0_951 = 0 % 215.25/149.14 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 215.25/149.14 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 215.25/149.14 | % 215.25/149.14 | Instantiating (514) with all_362_0_982 yields: % 215.25/149.14 | (4704) (all_362_0_982 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_982 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 215.25/149.14 | % 215.25/149.14 +-Applying beta-rule and splitting (4675), into two cases. % 215.25/149.14 |-Branch one: % 215.25/149.14 | (4705) all_324_0_980 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4705) yields: % 215.25/149.14 | (4706) all_324_0_980 = 0 % 215.25/149.14 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.25/149.14 | (1884) all_110_1_81 = all_0_6_6 % 215.25/149.14 | % 215.25/149.14 | From (1884) and (210) follows: % 215.25/149.14 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.25/149.14 | % 215.25/149.14 +-Applying beta-rule and splitting (4704), into two cases. % 215.25/149.14 |-Branch one: % 215.25/149.14 | (4710) all_362_0_982 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4710) yields: % 215.25/149.14 | (4711) all_362_0_982 = 0 % 215.25/149.14 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.25/149.14 | (524) all_212_1_107 = all_0_6_6 % 215.25/149.14 | % 215.25/149.14 | From (524) and (301) follows: % 215.25/149.14 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.25/149.14 | (233) all_110_0_80 = 0 % 215.25/149.14 | % 215.25/149.14 | Equations (233) can reduce 209 to: % 215.25/149.14 | (175) $false % 215.25/149.14 | % 215.25/149.14 |-The branch is then unsatisfiable % 215.25/149.14 |-Branch two: % 215.25/149.14 | (4717) all_362_0_982 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4717) yields: % 215.25/149.14 | (4711) all_362_0_982 = 0 % 215.25/149.14 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.25/149.14 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.25/149.14 | % 215.25/149.14 | Instantiating (531) with all_389_0_984 yields: % 215.25/149.14 | (4721) (all_389_0_984 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_984 = 0 & mem(all_212_1_107, e) = 0) % 215.25/149.14 | % 215.25/149.14 +-Applying beta-rule and splitting (4721), into two cases. % 215.25/149.14 |-Branch one: % 215.25/149.14 | (4722) all_389_0_984 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.14 | % 215.25/149.14 | Applying alpha-rule on (4722) yields: % 215.25/149.14 | (4723) all_389_0_984 = 0 % 215.25/149.14 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.25/149.14 | (536) all_212_1_107 = e % 215.25/149.14 | % 215.25/149.14 | From (536) and (310) follows: % 215.25/149.14 | (537) mem(all_244_1_112, e) = 0 % 215.25/149.14 | % 215.25/149.14 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.25/149.14 | (538) $false % 215.25/149.14 | % 215.25/149.14 |-The branch is then unsatisfiable % 215.25/149.14 |-Branch two: % 215.25/149.15 | (4728) all_389_0_984 = 0 & mem(all_212_1_107, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4728) yields: % 215.25/149.15 | (4723) all_389_0_984 = 0 % 215.25/149.15 | (541) mem(all_212_1_107, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.25/149.15 | (538) $false % 215.25/149.15 | % 215.25/149.15 |-The branch is then unsatisfiable % 215.25/149.15 |-Branch two: % 215.25/149.15 | (4732) all_324_0_980 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4732) yields: % 215.25/149.15 | (4706) all_324_0_980 = 0 % 215.25/149.15 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.25/149.15 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.25/149.15 | % 215.25/149.15 | Instantiating (1911) with all_370_0_989 yields: % 215.25/149.15 | (4736) (all_370_0_989 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_370_0_989 = 0 & mem(all_110_1_81, e) = 0) % 215.25/149.15 | % 215.25/149.15 +-Applying beta-rule and splitting (4692), into two cases. % 215.25/149.15 |-Branch one: % 215.25/149.15 | (4737) all_354_0_981 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4737) yields: % 215.25/149.15 | (4738) all_354_0_981 = 0 % 215.25/149.15 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.25/149.15 | (551) all_165_2_96 = all_0_6_6 % 215.25/149.15 | % 215.25/149.15 | From (551) and (311) follows: % 215.25/149.15 | (552) mem(all_244_1_112, all_0_6_6) = all_244_0_111 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (8) with all_244_0_111, all_0_6_6, all_66_0_64, e, all_244_1_112 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_112, all_0_6_6) = all_244_0_111, yields: % 215.25/149.15 | (553) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 215.25/149.15 | % 215.25/149.15 +-Applying beta-rule and splitting (4704), into two cases. % 215.25/149.15 |-Branch one: % 215.25/149.15 | (4710) all_362_0_982 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4710) yields: % 215.25/149.15 | (4711) all_362_0_982 = 0 % 215.25/149.15 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.15 | % 215.25/149.15 +-Applying beta-rule and splitting (553), into two cases. % 215.25/149.15 |-Branch one: % 215.25/149.15 | (557) all_244_0_111 = 0 % 215.25/149.15 | % 215.25/149.15 | Equations (557) can reduce 309 to: % 215.25/149.15 | (175) $false % 215.25/149.15 | % 215.25/149.15 |-The branch is then unsatisfiable % 215.25/149.15 |-Branch two: % 215.25/149.15 | (309) ~ (all_244_0_111 = 0) % 215.25/149.15 | (560) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_66_0_64) = v1 & mem(all_244_1_112, e) = v0) % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.25/149.15 | (524) all_212_1_107 = all_0_6_6 % 215.25/149.15 | % 215.25/149.15 | From (524) and (310) follows: % 215.25/149.15 | (562) mem(all_244_1_112, all_0_6_6) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (65) with all_244_1_112, all_0_6_6, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_6_6) = all_244_0_111, mem(all_244_1_112, all_0_6_6) = 0, yields: % 215.25/149.15 | (557) all_244_0_111 = 0 % 215.25/149.15 | % 215.25/149.15 | Equations (557) can reduce 309 to: % 215.25/149.15 | (175) $false % 215.25/149.15 | % 215.25/149.15 |-The branch is then unsatisfiable % 215.25/149.15 |-Branch two: % 215.25/149.15 | (4717) all_362_0_982 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4717) yields: % 215.25/149.15 | (4711) all_362_0_982 = 0 % 215.25/149.15 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.25/149.15 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.25/149.15 | % 215.25/149.15 | Instantiating (531) with all_400_0_998 yields: % 215.25/149.15 | (4758) (all_400_0_998 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_998 = 0 & mem(all_212_1_107, e) = 0) % 215.25/149.15 | % 215.25/149.15 +-Applying beta-rule and splitting (4758), into two cases. % 215.25/149.15 |-Branch one: % 215.25/149.15 | (4759) all_400_0_998 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4759) yields: % 215.25/149.15 | (4760) all_400_0_998 = 0 % 215.25/149.15 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.25/149.15 | (536) all_212_1_107 = e % 215.25/149.15 | % 215.25/149.15 | From (536) and (310) follows: % 215.25/149.15 | (537) mem(all_244_1_112, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.25/149.15 | (538) $false % 215.25/149.15 | % 215.25/149.15 |-The branch is then unsatisfiable % 215.25/149.15 |-Branch two: % 215.25/149.15 | (4765) all_400_0_998 = 0 & mem(all_212_1_107, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4765) yields: % 215.25/149.15 | (4760) all_400_0_998 = 0 % 215.25/149.15 | (541) mem(all_212_1_107, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.25/149.15 | (538) $false % 215.25/149.15 | % 215.25/149.15 |-The branch is then unsatisfiable % 215.25/149.15 |-Branch two: % 215.25/149.15 | (4769) all_354_0_981 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4769) yields: % 215.25/149.15 | (4738) all_354_0_981 = 0 % 215.25/149.15 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.25/149.15 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.25/149.15 | % 215.25/149.15 | Instantiating (583) with all_378_0_1001 yields: % 215.25/149.15 | (4773) (all_378_0_1001 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_1001 = 0 & mem(all_165_2_96, e) = 0) % 215.25/149.15 | % 215.25/149.15 +-Applying beta-rule and splitting (4736), into two cases. % 215.25/149.15 |-Branch one: % 215.25/149.15 | (4774) all_370_0_989 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4774) yields: % 215.25/149.15 | (4775) all_370_0_989 = 0 % 215.25/149.15 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.25/149.15 | (1953) all_110_1_81 = e % 215.25/149.15 | % 215.25/149.15 | From (1953) and (210) follows: % 215.25/149.15 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.25/149.15 | % 215.25/149.15 +-Applying beta-rule and splitting (4773), into two cases. % 215.25/149.15 |-Branch one: % 215.25/149.15 | (4779) all_378_0_1001 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4779) yields: % 215.25/149.15 | (4780) all_378_0_1001 = 0 % 215.25/149.15 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.25/149.15 | (593) all_165_2_96 = e % 215.25/149.15 | % 215.25/149.15 | From (593) and (288) follows: % 215.25/149.15 | (1959) mem(e, all_74_1_69) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.25/149.15 | (233) all_110_0_80 = 0 % 215.25/149.15 | % 215.25/149.15 | Equations (233) can reduce 209 to: % 215.25/149.15 | (175) $false % 215.25/149.15 | % 215.25/149.15 |-The branch is then unsatisfiable % 215.25/149.15 |-Branch two: % 215.25/149.15 | (4786) all_378_0_1001 = 0 & mem(all_165_2_96, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4786) yields: % 215.25/149.15 | (4780) all_378_0_1001 = 0 % 215.25/149.15 | (599) mem(all_165_2_96, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.25/149.15 | (538) $false % 215.25/149.15 | % 215.25/149.15 |-The branch is then unsatisfiable % 215.25/149.15 |-Branch two: % 215.25/149.15 | (4790) all_370_0_989 = 0 & mem(all_110_1_81, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4790) yields: % 215.25/149.15 | (4775) all_370_0_989 = 0 % 215.25/149.15 | (1968) mem(all_110_1_81, e) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.25/149.15 | (538) $false % 215.25/149.15 | % 215.25/149.15 |-The branch is then unsatisfiable % 215.25/149.15 |-Branch two: % 215.25/149.15 | (4553) all_292_0_942 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 215.25/149.15 | % 215.25/149.15 | Applying alpha-rule on (4553) yields: % 215.25/149.15 | (4547) all_292_0_942 = 0 % 215.25/149.15 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 215.25/149.15 | % 215.25/149.15 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 215.25/149.15 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 215.25/149.15 | % 215.25/149.15 | Instantiating (608) with all_332_0_1008 yields: % 215.25/149.16 | (4798) (all_332_0_1008 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_1008 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (4504), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (4558) all_308_0_947 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4558) yields: % 215.25/149.16 | (4559) all_308_0_947 = 0 % 215.25/149.16 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 215.25/149.16 | (495) all_165_2_96 = all_0_5_5 % 215.25/149.16 | % 215.25/149.16 | From (495) and (311) follows: % 215.25/149.16 | (737) mem(all_244_1_112, all_0_5_5) = all_244_0_111 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (8) with all_244_0_111, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_112 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_112, all_0_5_5) = all_244_0_111, yields: % 215.25/149.16 | (738) all_244_0_111 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (4540), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (4570) all_316_0_951 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4570) yields: % 215.25/149.16 | (4571) all_316_0_951 = 0 % 215.25/149.16 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (738), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (557) all_244_0_111 = 0 % 215.25/149.16 | % 215.25/149.16 | Equations (557) can reduce 309 to: % 215.25/149.16 | (175) $false % 215.25/149.16 | % 215.25/149.16 |-The branch is then unsatisfiable % 215.25/149.16 |-Branch two: % 215.25/149.16 | (309) ~ (all_244_0_111 = 0) % 215.25/149.16 | (745) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_112, all_0_3_3) = v1 & mem(all_244_1_112, all_0_6_6) = v0) % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 215.25/149.16 | (507) all_212_1_107 = all_0_5_5 % 215.25/149.16 | % 215.25/149.16 | From (507) and (310) follows: % 215.25/149.16 | (747) mem(all_244_1_112, all_0_5_5) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (65) with all_244_1_112, all_0_5_5, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_5_5) = all_244_0_111, mem(all_244_1_112, all_0_5_5) = 0, yields: % 215.25/149.16 | (557) all_244_0_111 = 0 % 215.25/149.16 | % 215.25/149.16 | Equations (557) can reduce 309 to: % 215.25/149.16 | (175) $false % 215.25/149.16 | % 215.25/149.16 |-The branch is then unsatisfiable % 215.25/149.16 |-Branch two: % 215.25/149.16 | (4577) all_316_0_951 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4577) yields: % 215.25/149.16 | (4571) all_316_0_951 = 0 % 215.25/149.16 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 215.25/149.16 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 215.25/149.16 | % 215.25/149.16 | Instantiating (514) with all_373_0_1017 yields: % 215.25/149.16 | (4820) (all_373_0_1017 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_1017 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (4675), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (4705) all_324_0_980 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4705) yields: % 215.25/149.16 | (4706) all_324_0_980 = 0 % 215.25/149.16 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.25/149.16 | (1884) all_110_1_81 = all_0_6_6 % 215.25/149.16 | % 215.25/149.16 | From (1884) and (210) follows: % 215.25/149.16 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (4820), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (4826) all_373_0_1017 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4826) yields: % 215.25/149.16 | (4827) all_373_0_1017 = 0 % 215.25/149.16 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.25/149.16 | (524) all_212_1_107 = all_0_6_6 % 215.25/149.16 | % 215.25/149.16 | From (524) and (301) follows: % 215.25/149.16 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.25/149.16 | (233) all_110_0_80 = 0 % 215.25/149.16 | % 215.25/149.16 | Equations (233) can reduce 209 to: % 215.25/149.16 | (175) $false % 215.25/149.16 | % 215.25/149.16 |-The branch is then unsatisfiable % 215.25/149.16 |-Branch two: % 215.25/149.16 | (4833) all_373_0_1017 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4833) yields: % 215.25/149.16 | (4827) all_373_0_1017 = 0 % 215.25/149.16 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.25/149.16 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.25/149.16 | % 215.25/149.16 | Instantiating (531) with all_417_0_1027 yields: % 215.25/149.16 | (4837) (all_417_0_1027 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_1027 = 0 & mem(all_212_1_107, e) = 0) % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (4837), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (4838) all_417_0_1027 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4838) yields: % 215.25/149.16 | (4839) all_417_0_1027 = 0 % 215.25/149.16 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.25/149.16 | (536) all_212_1_107 = e % 215.25/149.16 | % 215.25/149.16 | From (536) and (310) follows: % 215.25/149.16 | (537) mem(all_244_1_112, e) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.25/149.16 | (538) $false % 215.25/149.16 | % 215.25/149.16 |-The branch is then unsatisfiable % 215.25/149.16 |-Branch two: % 215.25/149.16 | (4844) all_417_0_1027 = 0 & mem(all_212_1_107, e) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4844) yields: % 215.25/149.16 | (4839) all_417_0_1027 = 0 % 215.25/149.16 | (541) mem(all_212_1_107, e) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.25/149.16 | (538) $false % 215.25/149.16 | % 215.25/149.16 |-The branch is then unsatisfiable % 215.25/149.16 |-Branch two: % 215.25/149.16 | (4732) all_324_0_980 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4732) yields: % 215.25/149.16 | (4706) all_324_0_980 = 0 % 215.25/149.16 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.25/149.16 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.25/149.16 | % 215.25/149.16 | Instantiating (1911) with all_392_0_1032 yields: % 215.25/149.16 | (4852) (all_392_0_1032 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_392_0_1032 = 0 & mem(all_110_1_81, e) = 0) % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (4798), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (4853) all_332_0_1008 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4853) yields: % 215.25/149.16 | (4854) all_332_0_1008 = 0 % 215.25/149.16 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.25/149.16 | (642) all_135_1_87 = all_0_6_6 % 215.25/149.16 | % 215.25/149.16 | From (642) and (231) follows: % 215.25/149.16 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (4820), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (4826) all_373_0_1017 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4826) yields: % 215.25/149.16 | (4827) all_373_0_1017 = 0 % 215.25/149.16 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.25/149.16 | (524) all_212_1_107 = all_0_6_6 % 215.25/149.16 | % 215.25/149.16 | From (524) and (286) follows: % 215.25/149.16 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.25/149.16 | (261) all_135_0_86 = 0 % 215.25/149.16 | % 215.25/149.16 | Equations (261) can reduce 230 to: % 215.25/149.16 | (175) $false % 215.25/149.16 | % 215.25/149.16 |-The branch is then unsatisfiable % 215.25/149.16 |-Branch two: % 215.25/149.16 | (4833) all_373_0_1017 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4833) yields: % 215.25/149.16 | (4827) all_373_0_1017 = 0 % 215.25/149.16 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.25/149.16 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.25/149.16 | % 215.25/149.16 | Instantiating (531) with all_417_0_1035 yields: % 215.25/149.16 | (4869) (all_417_0_1035 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_1035 = 0 & mem(all_212_1_107, e) = 0) % 215.25/149.16 | % 215.25/149.16 +-Applying beta-rule and splitting (4869), into two cases. % 215.25/149.16 |-Branch one: % 215.25/149.16 | (4870) all_417_0_1035 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.16 | % 215.25/149.16 | Applying alpha-rule on (4870) yields: % 215.25/149.16 | (4871) all_417_0_1035 = 0 % 215.25/149.16 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.25/149.16 | (536) all_212_1_107 = e % 215.25/149.16 | % 215.25/149.16 | From (536) and (310) follows: % 215.25/149.16 | (537) mem(all_244_1_112, e) = 0 % 215.25/149.16 | % 215.25/149.16 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.25/149.16 | (538) $false % 215.25/149.16 | % 215.25/149.16 |-The branch is then unsatisfiable % 215.25/149.16 |-Branch two: % 215.25/149.16 | (4876) all_417_0_1035 = 0 & mem(all_212_1_107, e) = 0 % 215.25/149.16 | % 215.25/149.17 | Applying alpha-rule on (4876) yields: % 215.25/149.17 | (4871) all_417_0_1035 = 0 % 215.25/149.17 | (541) mem(all_212_1_107, e) = 0 % 215.25/149.17 | % 215.25/149.17 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.25/149.17 | (538) $false % 215.25/149.17 | % 215.25/149.17 |-The branch is then unsatisfiable % 215.25/149.17 |-Branch two: % 215.25/149.17 | (4880) all_332_0_1008 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.25/149.17 | % 215.55/149.17 | Applying alpha-rule on (4880) yields: % 215.55/149.17 | (4854) all_332_0_1008 = 0 % 215.55/149.17 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.55/149.17 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.55/149.17 | % 215.55/149.17 | Instantiating (669) with all_406_0_1038 yields: % 215.55/149.17 | (4884) (all_406_0_1038 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_406_0_1038 = 0 & mem(all_135_1_87, e) = 0) % 215.55/149.17 | % 215.55/149.17 +-Applying beta-rule and splitting (4852), into two cases. % 215.55/149.17 |-Branch one: % 215.55/149.17 | (4885) all_392_0_1032 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4885) yields: % 215.55/149.17 | (4886) all_392_0_1032 = 0 % 215.55/149.17 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.55/149.17 | (1953) all_110_1_81 = e % 215.55/149.17 | % 215.55/149.17 | From (1953) and (210) follows: % 215.55/149.17 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.55/149.17 | % 215.55/149.17 +-Applying beta-rule and splitting (4884), into two cases. % 215.55/149.17 |-Branch one: % 215.55/149.17 | (4890) all_406_0_1038 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4890) yields: % 215.55/149.17 | (4891) all_406_0_1038 = 0 % 215.55/149.17 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.55/149.17 | (711) all_135_1_87 = e % 215.55/149.17 | % 215.55/149.17 | From (711) and (232) follows: % 215.55/149.17 | (1959) mem(e, all_74_1_69) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.55/149.17 | (233) all_110_0_80 = 0 % 215.55/149.17 | % 215.55/149.17 | Equations (233) can reduce 209 to: % 215.55/149.17 | (175) $false % 215.55/149.17 | % 215.55/149.17 |-The branch is then unsatisfiable % 215.55/149.17 |-Branch two: % 215.55/149.17 | (4897) all_406_0_1038 = 0 & mem(all_135_1_87, e) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4897) yields: % 215.55/149.17 | (4891) all_406_0_1038 = 0 % 215.55/149.17 | (726) mem(all_135_1_87, e) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.55/149.17 | (538) $false % 215.55/149.17 | % 215.55/149.17 |-The branch is then unsatisfiable % 215.55/149.17 |-Branch two: % 215.55/149.17 | (4901) all_392_0_1032 = 0 & mem(all_110_1_81, e) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4901) yields: % 215.55/149.17 | (4886) all_392_0_1032 = 0 % 215.55/149.17 | (1968) mem(all_110_1_81, e) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.55/149.17 | (538) $false % 215.55/149.17 | % 215.55/149.17 |-The branch is then unsatisfiable % 215.55/149.17 |-Branch two: % 215.55/149.17 | (4565) all_308_0_947 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4565) yields: % 215.55/149.17 | (4559) all_308_0_947 = 0 % 215.55/149.17 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 215.55/149.17 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 215.55/149.17 | % 215.55/149.17 | Instantiating (502) with all_351_0_1040 yields: % 215.55/149.17 | (4909) (all_351_0_1040 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_1040 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 215.55/149.17 | % 215.55/149.17 +-Applying beta-rule and splitting (4675), into two cases. % 215.55/149.17 |-Branch one: % 215.55/149.17 | (4705) all_324_0_980 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4705) yields: % 215.55/149.17 | (4706) all_324_0_980 = 0 % 215.55/149.17 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.55/149.17 | (1884) all_110_1_81 = all_0_6_6 % 215.55/149.17 | % 215.55/149.17 | From (1884) and (210) follows: % 215.55/149.17 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.55/149.17 | % 215.55/149.17 +-Applying beta-rule and splitting (4798), into two cases. % 215.55/149.17 |-Branch one: % 215.55/149.17 | (4853) all_332_0_1008 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4853) yields: % 215.55/149.17 | (4854) all_332_0_1008 = 0 % 215.55/149.17 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.55/149.17 | (642) all_135_1_87 = all_0_6_6 % 215.55/149.17 | % 215.55/149.17 | From (642) and (232) follows: % 215.55/149.17 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.55/149.17 | (233) all_110_0_80 = 0 % 215.55/149.17 | % 215.55/149.17 | Equations (233) can reduce 209 to: % 215.55/149.17 | (175) $false % 215.55/149.17 | % 215.55/149.17 |-The branch is then unsatisfiable % 215.55/149.17 |-Branch two: % 215.55/149.17 | (4880) all_332_0_1008 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4880) yields: % 215.55/149.17 | (4854) all_332_0_1008 = 0 % 215.55/149.17 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.55/149.17 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.55/149.17 | % 215.55/149.17 | Instantiating (669) with all_389_0_1045 yields: % 215.55/149.17 | (4926) (all_389_0_1045 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_389_0_1045 = 0 & mem(all_135_1_87, e) = 0) % 215.55/149.17 | % 215.55/149.17 +-Applying beta-rule and splitting (4909), into two cases. % 215.55/149.17 |-Branch one: % 215.55/149.17 | (4927) all_351_0_1040 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4927) yields: % 215.55/149.17 | (4928) all_351_0_1040 = 0 % 215.55/149.17 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.55/149.17 | (551) all_165_2_96 = all_0_6_6 % 215.55/149.17 | % 215.55/149.17 | From (551) and (288) follows: % 215.55/149.17 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.55/149.17 | (233) all_110_0_80 = 0 % 215.55/149.17 | % 215.55/149.17 | Equations (233) can reduce 209 to: % 215.55/149.17 | (175) $false % 215.55/149.17 | % 215.55/149.17 |-The branch is then unsatisfiable % 215.55/149.17 |-Branch two: % 215.55/149.17 | (4934) all_351_0_1040 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4934) yields: % 215.55/149.17 | (4928) all_351_0_1040 = 0 % 215.55/149.17 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.55/149.17 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.55/149.17 | % 215.55/149.17 | Instantiating (583) with all_397_0_1046 yields: % 215.55/149.17 | (4938) (all_397_0_1046 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_1046 = 0 & mem(all_165_2_96, e) = 0) % 215.55/149.17 | % 215.55/149.17 +-Applying beta-rule and splitting (4926), into two cases. % 215.55/149.17 |-Branch one: % 215.55/149.17 | (4939) all_389_0_1045 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.55/149.17 | % 215.55/149.17 | Applying alpha-rule on (4939) yields: % 215.55/149.17 | (4940) all_389_0_1045 = 0 % 215.55/149.17 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.55/149.17 | % 215.55/149.17 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.55/149.17 | (711) all_135_1_87 = e % 215.55/149.17 | % 215.55/149.17 | From (711) and (231) follows: % 215.55/149.17 | (712) mem(e, all_99_1_77) = all_135_0_86 % 215.55/149.17 | % 215.55/149.17 +-Applying beta-rule and splitting (4938), into two cases. % 215.55/149.17 |-Branch one: % 215.55/149.18 | (4944) all_397_0_1046 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.55/149.18 | % 215.55/149.18 | Applying alpha-rule on (4944) yields: % 215.55/149.18 | (4945) all_397_0_1046 = 0 % 215.55/149.18 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.55/149.18 | % 215.55/149.18 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.55/149.18 | (593) all_165_2_96 = e % 215.55/149.18 | % 215.55/149.18 | From (593) and (268) follows: % 215.55/149.18 | (717) mem(e, all_99_1_77) = 0 % 215.55/149.18 | % 215.55/149.18 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 215.55/149.18 | (261) all_135_0_86 = 0 % 215.55/149.18 | % 215.55/149.18 | Equations (261) can reduce 230 to: % 215.55/149.18 | (175) $false % 215.55/149.18 | % 215.55/149.18 |-The branch is then unsatisfiable % 215.55/149.18 |-Branch two: % 215.55/149.18 | (4951) all_397_0_1046 = 0 & mem(all_165_2_96, e) = 0 % 215.55/149.18 | % 215.55/149.18 | Applying alpha-rule on (4951) yields: % 215.55/149.18 | (4945) all_397_0_1046 = 0 % 215.55/149.18 | (599) mem(all_165_2_96, e) = 0 % 215.55/149.18 | % 215.55/149.18 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.55/149.18 | (538) $false % 215.55/149.18 | % 215.55/149.18 |-The branch is then unsatisfiable % 215.55/149.18 |-Branch two: % 215.55/149.18 | (4955) all_389_0_1045 = 0 & mem(all_135_1_87, e) = 0 % 215.55/149.18 | % 215.55/149.18 | Applying alpha-rule on (4955) yields: % 215.55/149.18 | (4940) all_389_0_1045 = 0 % 215.55/149.18 | (726) mem(all_135_1_87, e) = 0 % 215.55/149.18 | % 215.55/149.18 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.55/149.18 | (538) $false % 215.55/149.18 | % 215.55/149.18 |-The branch is then unsatisfiable % 215.55/149.18 |-Branch two: % 215.55/149.18 | (4732) all_324_0_980 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.55/149.18 | % 215.55/149.18 | Applying alpha-rule on (4732) yields: % 215.55/149.18 | (4706) all_324_0_980 = 0 % 215.55/149.18 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.55/149.18 | % 215.55/149.18 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.55/149.18 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.55/149.18 | % 215.55/149.18 | Instantiating (1911) with all_377_0_1049 yields: % 215.55/149.18 | (4963) (all_377_0_1049 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_377_0_1049 = 0 & mem(all_110_1_81, e) = 0) % 215.55/149.18 | % 215.55/149.18 +-Applying beta-rule and splitting (4798), into two cases. % 215.55/149.18 |-Branch one: % 215.60/149.18 | (4853) all_332_0_1008 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4853) yields: % 215.60/149.18 | (4854) all_332_0_1008 = 0 % 215.60/149.18 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.60/149.18 | (642) all_135_1_87 = all_0_6_6 % 215.60/149.18 | % 215.60/149.18 | From (642) and (231) follows: % 215.60/149.18 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 215.60/149.18 | % 215.60/149.18 +-Applying beta-rule and splitting (4909), into two cases. % 215.60/149.18 |-Branch one: % 215.60/149.18 | (4927) all_351_0_1040 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4927) yields: % 215.60/149.18 | (4928) all_351_0_1040 = 0 % 215.60/149.18 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.60/149.18 | (551) all_165_2_96 = all_0_6_6 % 215.60/149.18 | % 215.60/149.18 | From (551) and (268) follows: % 215.60/149.18 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.60/149.18 | (261) all_135_0_86 = 0 % 215.60/149.18 | % 215.60/149.18 | Equations (261) can reduce 230 to: % 215.60/149.18 | (175) $false % 215.60/149.18 | % 215.60/149.18 |-The branch is then unsatisfiable % 215.60/149.18 |-Branch two: % 215.60/149.18 | (4934) all_351_0_1040 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4934) yields: % 215.60/149.18 | (4928) all_351_0_1040 = 0 % 215.60/149.18 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.60/149.18 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.60/149.18 | % 215.60/149.18 | Instantiating (583) with all_397_0_1051 yields: % 215.60/149.18 | (4980) (all_397_0_1051 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_1051 = 0 & mem(all_165_2_96, e) = 0) % 215.60/149.18 | % 215.60/149.18 +-Applying beta-rule and splitting (4963), into two cases. % 215.60/149.18 |-Branch one: % 215.60/149.18 | (4981) all_377_0_1049 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4981) yields: % 215.60/149.18 | (4982) all_377_0_1049 = 0 % 215.60/149.18 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.60/149.18 | (1953) all_110_1_81 = e % 215.60/149.18 | % 215.60/149.18 | From (1953) and (210) follows: % 215.60/149.18 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.60/149.18 | % 215.60/149.18 +-Applying beta-rule and splitting (4980), into two cases. % 215.60/149.18 |-Branch one: % 215.60/149.18 | (4986) all_397_0_1051 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4986) yields: % 215.60/149.18 | (4987) all_397_0_1051 = 0 % 215.60/149.18 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.60/149.18 | (593) all_165_2_96 = e % 215.60/149.18 | % 215.60/149.18 | From (593) and (288) follows: % 215.60/149.18 | (1959) mem(e, all_74_1_69) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.60/149.18 | (233) all_110_0_80 = 0 % 215.60/149.18 | % 215.60/149.18 | Equations (233) can reduce 209 to: % 215.60/149.18 | (175) $false % 215.60/149.18 | % 215.60/149.18 |-The branch is then unsatisfiable % 215.60/149.18 |-Branch two: % 215.60/149.18 | (4993) all_397_0_1051 = 0 & mem(all_165_2_96, e) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4993) yields: % 215.60/149.18 | (4987) all_397_0_1051 = 0 % 215.60/149.18 | (599) mem(all_165_2_96, e) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.60/149.18 | (538) $false % 215.60/149.18 | % 215.60/149.18 |-The branch is then unsatisfiable % 215.60/149.18 |-Branch two: % 215.60/149.18 | (4997) all_377_0_1049 = 0 & mem(all_110_1_81, e) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4997) yields: % 215.60/149.18 | (4982) all_377_0_1049 = 0 % 215.60/149.18 | (1968) mem(all_110_1_81, e) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.60/149.18 | (538) $false % 215.60/149.18 | % 215.60/149.18 |-The branch is then unsatisfiable % 215.60/149.18 |-Branch two: % 215.60/149.18 | (4880) all_332_0_1008 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4880) yields: % 215.60/149.18 | (4854) all_332_0_1008 = 0 % 215.60/149.18 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.60/149.18 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.60/149.18 | % 215.60/149.18 | Instantiating (669) with all_386_0_1052 yields: % 215.60/149.18 | (5005) (all_386_0_1052 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_386_0_1052 = 0 & mem(all_135_1_87, e) = 0) % 215.60/149.18 | % 215.60/149.18 +-Applying beta-rule and splitting (4963), into two cases. % 215.60/149.18 |-Branch one: % 215.60/149.18 | (4981) all_377_0_1049 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (4981) yields: % 215.60/149.18 | (4982) all_377_0_1049 = 0 % 215.60/149.18 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.60/149.18 | % 215.60/149.18 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.60/149.18 | (1953) all_110_1_81 = e % 215.60/149.18 | % 215.60/149.18 | From (1953) and (210) follows: % 215.60/149.18 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.60/149.18 | % 215.60/149.18 +-Applying beta-rule and splitting (5005), into two cases. % 215.60/149.18 |-Branch one: % 215.60/149.18 | (5011) all_386_0_1052 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.60/149.18 | % 215.60/149.18 | Applying alpha-rule on (5011) yields: % 215.60/149.18 | (5012) all_386_0_1052 = 0 % 215.60/149.18 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.60/149.19 | (711) all_135_1_87 = e % 215.60/149.19 | % 215.60/149.19 | From (711) and (232) follows: % 215.60/149.19 | (1959) mem(e, all_74_1_69) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.60/149.19 | (233) all_110_0_80 = 0 % 215.60/149.19 | % 215.60/149.19 | Equations (233) can reduce 209 to: % 215.60/149.19 | (175) $false % 215.60/149.19 | % 215.60/149.19 |-The branch is then unsatisfiable % 215.60/149.19 |-Branch two: % 215.60/149.19 | (5018) all_386_0_1052 = 0 & mem(all_135_1_87, e) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (5018) yields: % 215.60/149.19 | (5012) all_386_0_1052 = 0 % 215.60/149.19 | (726) mem(all_135_1_87, e) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.60/149.19 | (538) $false % 215.60/149.19 | % 215.60/149.19 |-The branch is then unsatisfiable % 215.60/149.19 |-Branch two: % 215.60/149.19 | (4997) all_377_0_1049 = 0 & mem(all_110_1_81, e) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (4997) yields: % 215.60/149.19 | (4982) all_377_0_1049 = 0 % 215.60/149.19 | (1968) mem(all_110_1_81, e) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.60/149.19 | (538) $false % 215.60/149.19 | % 215.60/149.19 |-The branch is then unsatisfiable % 215.60/149.19 |-Branch two: % 215.60/149.19 | (398) all_252_0_113 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (398) yields: % 215.60/149.19 | (368) all_252_0_113 = 0 % 215.60/149.19 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 215.60/149.19 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 215.60/149.19 | % 215.60/149.19 | Instantiating (401) with all_300_0_1066 yields: % 215.60/149.19 | (5030) (all_300_0_1066 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_1066 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 215.60/149.19 | % 215.60/149.19 +-Applying beta-rule and splitting (318), into two cases. % 215.60/149.19 |-Branch one: % 215.60/149.19 | (403) all_259_0_114 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (403) yields: % 215.60/149.19 | (404) all_259_0_114 = 0 % 215.60/149.19 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 215.60/149.19 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 215.60/149.19 | % 215.60/149.19 | Instantiating (406) with all_308_0_1067 yields: % 215.60/149.19 | (5035) (all_308_0_1067 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_1067 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 215.60/149.19 | % 215.60/149.19 +-Applying beta-rule and splitting (320), into two cases. % 215.60/149.19 |-Branch one: % 215.60/149.19 | (439) all_265_0_115 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (439) yields: % 215.60/149.19 | (440) all_265_0_115 = 0 % 215.60/149.19 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 215.60/149.19 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 215.60/149.19 | % 215.60/149.19 | Instantiating (442) with all_316_0_1068 yields: % 215.60/149.19 | (5040) (all_316_0_1068 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_1068 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 215.60/149.19 | % 215.60/149.19 +-Applying beta-rule and splitting (5035), into two cases. % 215.60/149.19 |-Branch one: % 215.60/149.19 | (5041) all_308_0_1067 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (5041) yields: % 215.60/149.19 | (5042) all_308_0_1067 = 0 % 215.60/149.19 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 215.60/149.19 | (423) all_165_2_96 = all_0_2_2 % 215.60/149.19 | % 215.60/149.19 | From (423) and (311) follows: % 215.60/149.19 | (5045) mem(all_244_1_112, all_0_2_2) = all_244_0_111 % 215.60/149.19 | % 215.60/149.19 +-Applying beta-rule and splitting (5040), into two cases. % 215.60/149.19 |-Branch one: % 215.60/149.19 | (5046) all_316_0_1068 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (5046) yields: % 215.60/149.19 | (5047) all_316_0_1068 = 0 % 215.60/149.19 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 215.60/149.19 | (459) all_212_1_107 = all_0_2_2 % 215.60/149.19 | % 215.60/149.19 | From (459) and (310) follows: % 215.60/149.19 | (5050) mem(all_244_1_112, all_0_2_2) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (65) with all_244_1_112, all_0_2_2, 0, all_244_0_111 and discharging atoms mem(all_244_1_112, all_0_2_2) = all_244_0_111, mem(all_244_1_112, all_0_2_2) = 0, yields: % 215.60/149.19 | (557) all_244_0_111 = 0 % 215.60/149.19 | % 215.60/149.19 | Equations (557) can reduce 309 to: % 215.60/149.19 | (175) $false % 215.60/149.19 | % 215.60/149.19 |-The branch is then unsatisfiable % 215.60/149.19 |-Branch two: % 215.60/149.19 | (5053) all_316_0_1068 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (5053) yields: % 215.60/149.19 | (5047) all_316_0_1068 = 0 % 215.60/149.19 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 215.60/149.19 | (466) all_212_1_107 = all_0_3_3 % 215.60/149.19 | % 215.60/149.19 | From (466) and (312) follows: % 215.60/149.19 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 215.60/149.19 | (212) all_85_0_72 = 0 % 215.60/149.19 | % 215.60/149.19 | Equations (212) can reduce 183 to: % 215.60/149.19 | (175) $false % 215.60/149.19 | % 215.60/149.19 |-The branch is then unsatisfiable % 215.60/149.19 |-Branch two: % 215.60/149.19 | (5060) all_308_0_1067 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (5060) yields: % 215.60/149.19 | (5042) all_308_0_1067 = 0 % 215.60/149.19 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 215.60/149.19 | (430) all_165_2_96 = all_0_3_3 % 215.60/149.19 | % 215.60/149.19 | From (430) and (303) follows: % 215.60/149.19 | (986) mem(all_0_3_3, all_57_1_62) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (65) with all_0_3_3, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_3_3, all_57_1_62) = all_85_0_72, mem(all_0_3_3, all_57_1_62) = 0, yields: % 215.60/149.19 | (212) all_85_0_72 = 0 % 215.60/149.19 | % 215.60/149.19 | Equations (212) can reduce 183 to: % 215.60/149.19 | (175) $false % 215.60/149.19 | % 215.60/149.19 |-The branch is then unsatisfiable % 215.60/149.19 |-Branch two: % 215.60/149.19 | (470) all_265_0_115 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (470) yields: % 215.60/149.19 | (440) all_265_0_115 = 0 % 215.60/149.19 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 215.60/149.19 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 215.60/149.19 | % 215.60/149.19 | Instantiating (473) with all_316_0_1075 yields: % 215.60/149.19 | (5071) (all_316_0_1075 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_1075 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 215.60/149.19 | % 215.60/149.19 +-Applying beta-rule and splitting (1598), into two cases. % 215.60/149.19 |-Branch one: % 215.60/149.19 | (1717) all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (1717) yields: % 215.60/149.19 | (1718) all_273_0_379 = 0 % 215.60/149.19 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 215.60/149.19 | (1720) all_110_1_81 = all_0_5_5 % 215.60/149.19 | % 215.60/149.19 | From (1720) and (210) follows: % 215.60/149.19 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 215.60/149.19 | % 215.60/149.19 +-Applying beta-rule and splitting (4463), into two cases. % 215.60/149.19 |-Branch one: % 215.60/149.19 | (4546) all_292_0_942 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (4546) yields: % 215.60/149.19 | (4547) all_292_0_942 = 0 % 215.60/149.19 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 215.60/149.19 | (478) all_135_1_87 = all_0_5_5 % 215.60/149.19 | % 215.60/149.19 | From (478) and (232) follows: % 215.60/149.19 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.60/149.19 | (233) all_110_0_80 = 0 % 215.60/149.19 | % 215.60/149.19 | Equations (233) can reduce 209 to: % 215.60/149.19 | (175) $false % 215.60/149.19 | % 215.60/149.19 |-The branch is then unsatisfiable % 215.60/149.19 |-Branch two: % 215.60/149.19 | (4553) all_292_0_942 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (4553) yields: % 215.60/149.19 | (4547) all_292_0_942 = 0 % 215.60/149.19 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 215.60/149.19 | % 215.60/149.19 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 215.60/149.19 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 215.60/149.19 | % 215.60/149.19 | Instantiating (608) with all_335_0_1076 yields: % 215.60/149.19 | (5088) (all_335_0_1076 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_1076 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 215.60/149.19 | % 215.60/149.19 +-Applying beta-rule and splitting (5030), into two cases. % 215.60/149.19 |-Branch one: % 215.60/149.19 | (5089) all_300_0_1066 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 215.60/149.19 | % 215.60/149.19 | Applying alpha-rule on (5089) yields: % 215.60/149.20 | (5090) all_300_0_1066 = 0 % 215.60/149.20 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 215.60/149.20 | (483) all_181_1_101 = all_0_5_5 % 215.60/149.20 | % 215.60/149.20 | From (483) and (267) follows: % 215.60/149.20 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.60/149.20 | (233) all_110_0_80 = 0 % 215.60/149.20 | % 215.60/149.20 | Equations (233) can reduce 209 to: % 215.60/149.20 | (175) $false % 215.60/149.20 | % 215.60/149.20 |-The branch is then unsatisfiable % 215.60/149.20 |-Branch two: % 215.60/149.20 | (5096) all_300_0_1066 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5096) yields: % 215.60/149.20 | (5090) all_300_0_1066 = 0 % 215.60/149.20 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 215.60/149.20 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 215.60/149.20 | % 215.60/149.20 | Instantiating (490) with all_343_0_1077 yields: % 215.60/149.20 | (5100) (all_343_0_1077 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_1077 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 215.60/149.20 | % 215.60/149.20 +-Applying beta-rule and splitting (5071), into two cases. % 215.60/149.20 |-Branch one: % 215.60/149.20 | (5101) all_316_0_1075 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5101) yields: % 215.60/149.20 | (5102) all_316_0_1075 = 0 % 215.60/149.20 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 215.60/149.20 | (507) all_212_1_107 = all_0_5_5 % 215.60/149.20 | % 215.60/149.20 | From (507) and (301) follows: % 215.60/149.20 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.60/149.20 | (233) all_110_0_80 = 0 % 215.60/149.20 | % 215.60/149.20 | Equations (233) can reduce 209 to: % 215.60/149.20 | (175) $false % 215.60/149.20 | % 215.60/149.20 |-The branch is then unsatisfiable % 215.60/149.20 |-Branch two: % 215.60/149.20 | (5108) all_316_0_1075 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5108) yields: % 215.60/149.20 | (5102) all_316_0_1075 = 0 % 215.60/149.20 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 215.60/149.20 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 215.60/149.20 | % 215.60/149.20 | Instantiating (514) with all_368_0_1082 yields: % 215.60/149.20 | (5112) (all_368_0_1082 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_1082 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 215.60/149.20 | % 215.60/149.20 +-Applying beta-rule and splitting (5088), into two cases. % 215.60/149.20 |-Branch one: % 215.60/149.20 | (5113) all_335_0_1076 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5113) yields: % 215.60/149.20 | (5114) all_335_0_1076 = 0 % 215.60/149.20 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.60/149.20 | (642) all_135_1_87 = all_0_6_6 % 215.60/149.20 | % 215.60/149.20 | From (642) and (231) follows: % 215.60/149.20 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 215.60/149.20 | % 215.60/149.20 +-Applying beta-rule and splitting (5112), into two cases. % 215.60/149.20 |-Branch one: % 215.60/149.20 | (5118) all_368_0_1082 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5118) yields: % 215.60/149.20 | (5119) all_368_0_1082 = 0 % 215.60/149.20 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.60/149.20 | (524) all_212_1_107 = all_0_6_6 % 215.60/149.20 | % 215.60/149.20 | From (524) and (286) follows: % 215.60/149.20 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.60/149.20 | (261) all_135_0_86 = 0 % 215.60/149.20 | % 215.60/149.20 | Equations (261) can reduce 230 to: % 215.60/149.20 | (175) $false % 215.60/149.20 | % 215.60/149.20 |-The branch is then unsatisfiable % 215.60/149.20 |-Branch two: % 215.60/149.20 | (5125) all_368_0_1082 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5125) yields: % 215.60/149.20 | (5119) all_368_0_1082 = 0 % 215.60/149.20 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.60/149.20 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.60/149.20 | % 215.60/149.20 | Instantiating (531) with all_395_0_1084 yields: % 215.60/149.20 | (5129) (all_395_0_1084 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1084 = 0 & mem(all_212_1_107, e) = 0) % 215.60/149.20 | % 215.60/149.20 +-Applying beta-rule and splitting (5129), into two cases. % 215.60/149.20 |-Branch one: % 215.60/149.20 | (5130) all_395_0_1084 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5130) yields: % 215.60/149.20 | (5131) all_395_0_1084 = 0 % 215.60/149.20 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.60/149.20 | (536) all_212_1_107 = e % 215.60/149.20 | % 215.60/149.20 | From (536) and (310) follows: % 215.60/149.20 | (537) mem(all_244_1_112, e) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.60/149.20 | (538) $false % 215.60/149.20 | % 215.60/149.20 |-The branch is then unsatisfiable % 215.60/149.20 |-Branch two: % 215.60/149.20 | (5136) all_395_0_1084 = 0 & mem(all_212_1_107, e) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5136) yields: % 215.60/149.20 | (5131) all_395_0_1084 = 0 % 215.60/149.20 | (541) mem(all_212_1_107, e) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.60/149.20 | (538) $false % 215.60/149.20 | % 215.60/149.20 |-The branch is then unsatisfiable % 215.60/149.20 |-Branch two: % 215.60/149.20 | (5140) all_335_0_1076 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5140) yields: % 215.60/149.20 | (5114) all_335_0_1076 = 0 % 215.60/149.20 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.60/149.20 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.60/149.20 | % 215.60/149.20 | Instantiating (669) with all_376_0_1085 yields: % 215.60/149.20 | (5144) (all_376_0_1085 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_376_0_1085 = 0 & mem(all_135_1_87, e) = 0) % 215.60/149.20 | % 215.60/149.20 +-Applying beta-rule and splitting (5100), into two cases. % 215.60/149.20 |-Branch one: % 215.60/149.20 | (5145) all_343_0_1077 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5145) yields: % 215.60/149.20 | (5146) all_343_0_1077 = 0 % 215.60/149.20 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.60/149.20 | (519) all_181_1_101 = all_0_6_6 % 215.60/149.20 | % 215.60/149.20 | From (519) and (259) follows: % 215.60/149.20 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 215.60/149.20 | % 215.60/149.20 +-Applying beta-rule and splitting (5112), into two cases. % 215.60/149.20 |-Branch one: % 215.60/149.20 | (5118) all_368_0_1082 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5118) yields: % 215.60/149.20 | (5119) all_368_0_1082 = 0 % 215.60/149.20 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.60/149.20 | (524) all_212_1_107 = all_0_6_6 % 215.60/149.20 | % 215.60/149.20 | From (524) and (281) follows: % 215.60/149.20 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 215.60/149.20 | (526) all_181_0_100 = 0 % 215.60/149.20 | % 215.60/149.20 | Equations (526) can reduce 258 to: % 215.60/149.20 | (175) $false % 215.60/149.20 | % 215.60/149.20 |-The branch is then unsatisfiable % 215.60/149.20 |-Branch two: % 215.60/149.20 | (5125) all_368_0_1082 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5125) yields: % 215.60/149.20 | (5119) all_368_0_1082 = 0 % 215.60/149.20 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.60/149.20 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.60/149.20 | % 215.60/149.20 | Instantiating (531) with all_395_0_1086 yields: % 215.60/149.20 | (5161) (all_395_0_1086 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1086 = 0 & mem(all_212_1_107, e) = 0) % 215.60/149.20 | % 215.60/149.20 +-Applying beta-rule and splitting (5161), into two cases. % 215.60/149.20 |-Branch one: % 215.60/149.20 | (5162) all_395_0_1086 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.60/149.20 | % 215.60/149.20 | Applying alpha-rule on (5162) yields: % 215.60/149.20 | (5163) all_395_0_1086 = 0 % 215.60/149.20 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.60/149.20 | (536) all_212_1_107 = e % 215.60/149.20 | % 215.60/149.20 | From (536) and (310) follows: % 215.60/149.20 | (537) mem(all_244_1_112, e) = 0 % 215.60/149.20 | % 215.60/149.20 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.60/149.20 | (538) $false % 215.60/149.20 | % 215.60/149.20 |-The branch is then unsatisfiable % 215.60/149.20 |-Branch two: % 215.60/149.21 | (5168) all_395_0_1086 = 0 & mem(all_212_1_107, e) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5168) yields: % 215.60/149.21 | (5163) all_395_0_1086 = 0 % 215.60/149.21 | (541) mem(all_212_1_107, e) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.60/149.21 | (538) $false % 215.60/149.21 | % 215.60/149.21 |-The branch is then unsatisfiable % 215.60/149.21 |-Branch two: % 215.60/149.21 | (5172) all_343_0_1077 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5172) yields: % 215.60/149.21 | (5146) all_343_0_1077 = 0 % 215.60/149.21 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.60/149.21 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.60/149.21 | % 215.60/149.21 | Instantiating (546) with all_384_0_1087 yields: % 215.60/149.21 | (5176) (all_384_0_1087 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_384_0_1087 = 0 & mem(all_181_1_101, e) = 0) % 215.60/149.21 | % 215.60/149.21 +-Applying beta-rule and splitting (5144), into two cases. % 215.60/149.21 |-Branch one: % 215.60/149.21 | (5177) all_376_0_1085 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5177) yields: % 215.60/149.21 | (5178) all_376_0_1085 = 0 % 215.60/149.21 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.60/149.21 | (711) all_135_1_87 = e % 215.60/149.21 | % 215.60/149.21 | From (711) and (231) follows: % 215.60/149.21 | (712) mem(e, all_99_1_77) = all_135_0_86 % 215.60/149.21 | % 215.60/149.21 +-Applying beta-rule and splitting (5176), into two cases. % 215.60/149.21 |-Branch one: % 215.60/149.21 | (5182) all_384_0_1087 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5182) yields: % 215.60/149.21 | (5183) all_384_0_1087 = 0 % 215.60/149.21 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.60/149.21 | (588) all_181_1_101 = e % 215.60/149.21 | % 215.60/149.21 | From (588) and (260) follows: % 215.60/149.21 | (717) mem(e, all_99_1_77) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 215.60/149.21 | (261) all_135_0_86 = 0 % 215.60/149.21 | % 215.60/149.21 | Equations (261) can reduce 230 to: % 215.60/149.21 | (175) $false % 215.60/149.21 | % 215.60/149.21 |-The branch is then unsatisfiable % 215.60/149.21 |-Branch two: % 215.60/149.21 | (5189) all_384_0_1087 = 0 & mem(all_181_1_101, e) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5189) yields: % 215.60/149.21 | (5183) all_384_0_1087 = 0 % 215.60/149.21 | (603) mem(all_181_1_101, e) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.60/149.21 | (538) $false % 215.60/149.21 | % 215.60/149.21 |-The branch is then unsatisfiable % 215.60/149.21 |-Branch two: % 215.60/149.21 | (5193) all_376_0_1085 = 0 & mem(all_135_1_87, e) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5193) yields: % 215.60/149.21 | (5178) all_376_0_1085 = 0 % 215.60/149.21 | (726) mem(all_135_1_87, e) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.60/149.21 | (538) $false % 215.60/149.21 | % 215.60/149.21 |-The branch is then unsatisfiable % 215.60/149.21 |-Branch two: % 215.60/149.21 | (1847) all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (1847) yields: % 215.60/149.21 | (1718) all_273_0_379 = 0 % 215.60/149.21 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 215.60/149.21 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 215.60/149.21 | % 215.60/149.21 | Instantiating (1850) with all_324_0_1095 yields: % 215.60/149.21 | (5201) (all_324_0_1095 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_1095 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 215.60/149.21 | % 215.60/149.21 +-Applying beta-rule and splitting (4463), into two cases. % 215.60/149.21 |-Branch one: % 215.60/149.21 | (4546) all_292_0_942 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (4546) yields: % 215.60/149.21 | (4547) all_292_0_942 = 0 % 215.60/149.21 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 215.60/149.21 | (478) all_135_1_87 = all_0_5_5 % 215.60/149.21 | % 215.60/149.21 | From (478) and (231) follows: % 215.60/149.21 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 215.60/149.21 | % 215.60/149.21 +-Applying beta-rule and splitting (5030), into two cases. % 215.60/149.21 |-Branch one: % 215.60/149.21 | (5089) all_300_0_1066 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5089) yields: % 215.60/149.21 | (5090) all_300_0_1066 = 0 % 215.60/149.21 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 215.60/149.21 | (483) all_181_1_101 = all_0_5_5 % 215.60/149.21 | % 215.60/149.21 | From (483) and (260) follows: % 215.60/149.21 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 215.60/149.21 | (261) all_135_0_86 = 0 % 215.60/149.21 | % 215.60/149.21 | Equations (261) can reduce 230 to: % 215.60/149.21 | (175) $false % 215.60/149.21 | % 215.60/149.21 |-The branch is then unsatisfiable % 215.60/149.21 |-Branch two: % 215.60/149.21 | (5096) all_300_0_1066 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5096) yields: % 215.60/149.21 | (5090) all_300_0_1066 = 0 % 215.60/149.21 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 215.60/149.21 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 215.60/149.21 | % 215.60/149.21 | Instantiating (490) with all_343_0_1096 yields: % 215.60/149.21 | (5218) (all_343_0_1096 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_1096 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 215.60/149.21 | % 215.60/149.21 +-Applying beta-rule and splitting (5071), into two cases. % 215.60/149.21 |-Branch one: % 215.60/149.21 | (5101) all_316_0_1075 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5101) yields: % 215.60/149.21 | (5102) all_316_0_1075 = 0 % 215.60/149.21 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 215.60/149.21 | (507) all_212_1_107 = all_0_5_5 % 215.60/149.21 | % 215.60/149.21 | From (507) and (286) follows: % 215.60/149.21 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 215.60/149.21 | (261) all_135_0_86 = 0 % 215.60/149.21 | % 215.60/149.21 | Equations (261) can reduce 230 to: % 215.60/149.21 | (175) $false % 215.60/149.21 | % 215.60/149.21 |-The branch is then unsatisfiable % 215.60/149.21 |-Branch two: % 215.60/149.21 | (5108) all_316_0_1075 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5108) yields: % 215.60/149.21 | (5102) all_316_0_1075 = 0 % 215.60/149.21 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 215.60/149.21 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 215.60/149.21 | % 215.60/149.21 | Instantiating (514) with all_368_0_1101 yields: % 215.60/149.21 | (5230) (all_368_0_1101 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_1101 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 215.60/149.21 | % 215.60/149.21 +-Applying beta-rule and splitting (5201), into two cases. % 215.60/149.21 |-Branch one: % 215.60/149.21 | (5231) all_324_0_1095 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.60/149.21 | % 215.60/149.21 | Applying alpha-rule on (5231) yields: % 215.60/149.21 | (5232) all_324_0_1095 = 0 % 215.60/149.21 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.60/149.21 | % 215.60/149.21 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.60/149.21 | (1884) all_110_1_81 = all_0_6_6 % 215.60/149.21 | % 215.60/149.21 | From (1884) and (210) follows: % 215.60/149.21 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.60/149.21 | % 215.60/149.21 +-Applying beta-rule and splitting (5230), into two cases. % 215.60/149.21 |-Branch one: % 215.60/149.22 | (5236) all_368_0_1101 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.60/149.22 | % 215.60/149.22 | Applying alpha-rule on (5236) yields: % 215.60/149.22 | (5237) all_368_0_1101 = 0 % 215.60/149.22 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.60/149.22 | % 215.60/149.22 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.60/149.22 | (524) all_212_1_107 = all_0_6_6 % 215.60/149.22 | % 215.60/149.22 | From (524) and (301) follows: % 215.60/149.22 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.60/149.22 | % 215.60/149.22 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.60/149.22 | (233) all_110_0_80 = 0 % 215.60/149.22 | % 215.60/149.22 | Equations (233) can reduce 209 to: % 215.60/149.22 | (175) $false % 215.60/149.22 | % 215.60/149.22 |-The branch is then unsatisfiable % 215.60/149.22 |-Branch two: % 215.60/149.22 | (5243) all_368_0_1101 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.60/149.22 | % 215.60/149.22 | Applying alpha-rule on (5243) yields: % 215.60/149.22 | (5237) all_368_0_1101 = 0 % 215.60/149.22 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.60/149.22 | % 215.60/149.22 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.60/149.22 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.60/149.22 | % 215.60/149.22 | Instantiating (531) with all_395_0_1103 yields: % 215.60/149.22 | (5247) (all_395_0_1103 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1103 = 0 & mem(all_212_1_107, e) = 0) % 215.60/149.22 | % 215.60/149.22 +-Applying beta-rule and splitting (5247), into two cases. % 215.60/149.22 |-Branch one: % 215.60/149.22 | (5248) all_395_0_1103 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.60/149.22 | % 215.60/149.22 | Applying alpha-rule on (5248) yields: % 215.60/149.22 | (5249) all_395_0_1103 = 0 % 215.60/149.22 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.60/149.22 | % 215.60/149.22 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.60/149.22 | (536) all_212_1_107 = e % 215.60/149.22 | % 215.60/149.22 | From (536) and (310) follows: % 215.60/149.22 | (537) mem(all_244_1_112, e) = 0 % 215.60/149.22 | % 215.60/149.22 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.60/149.22 | (538) $false % 215.60/149.22 | % 215.60/149.22 |-The branch is then unsatisfiable % 215.60/149.22 |-Branch two: % 215.60/149.22 | (5254) all_395_0_1103 = 0 & mem(all_212_1_107, e) = 0 % 215.60/149.22 | % 215.60/149.22 | Applying alpha-rule on (5254) yields: % 215.60/149.22 | (5249) all_395_0_1103 = 0 % 215.60/149.22 | (541) mem(all_212_1_107, e) = 0 % 215.60/149.22 | % 215.60/149.22 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.60/149.22 | (538) $false % 215.60/149.22 | % 215.60/149.22 |-The branch is then unsatisfiable % 215.60/149.22 |-Branch two: % 215.60/149.22 | (5258) all_324_0_1095 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.60/149.22 | % 215.60/149.22 | Applying alpha-rule on (5258) yields: % 215.60/149.22 | (5232) all_324_0_1095 = 0 % 215.60/149.22 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.60/149.22 | % 215.60/149.22 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.60/149.22 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.60/149.22 | % 215.60/149.22 | Instantiating (1911) with all_376_0_1104 yields: % 215.60/149.22 | (5262) (all_376_0_1104 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_376_0_1104 = 0 & mem(all_110_1_81, e) = 0) % 215.60/149.22 | % 215.60/149.22 +-Applying beta-rule and splitting (5218), into two cases. % 215.60/149.22 |-Branch one: % 215.60/149.22 | (5263) all_343_0_1096 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.60/149.22 | % 215.60/149.22 | Applying alpha-rule on (5263) yields: % 215.60/149.22 | (5264) all_343_0_1096 = 0 % 215.60/149.22 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.60/149.22 | % 215.60/149.22 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.75/149.22 | (519) all_181_1_101 = all_0_6_6 % 215.75/149.22 | % 215.75/149.22 | From (519) and (259) follows: % 215.75/149.22 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 215.75/149.22 | % 215.75/149.22 +-Applying beta-rule and splitting (5230), into two cases. % 215.75/149.22 |-Branch one: % 215.75/149.22 | (5236) all_368_0_1101 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.75/149.22 | % 215.75/149.22 | Applying alpha-rule on (5236) yields: % 215.75/149.22 | (5237) all_368_0_1101 = 0 % 215.75/149.22 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.75/149.22 | (524) all_212_1_107 = all_0_6_6 % 215.75/149.22 | % 215.75/149.22 | From (524) and (281) follows: % 215.75/149.22 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 215.75/149.22 | (526) all_181_0_100 = 0 % 215.75/149.22 | % 215.75/149.22 | Equations (526) can reduce 258 to: % 215.75/149.22 | (175) $false % 215.75/149.22 | % 215.75/149.22 |-The branch is then unsatisfiable % 215.75/149.22 |-Branch two: % 215.75/149.22 | (5243) all_368_0_1101 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.75/149.22 | % 215.75/149.22 | Applying alpha-rule on (5243) yields: % 215.75/149.22 | (5237) all_368_0_1101 = 0 % 215.75/149.22 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.75/149.22 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.75/149.22 | % 215.75/149.22 | Instantiating (531) with all_395_0_1105 yields: % 215.75/149.22 | (5279) (all_395_0_1105 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1105 = 0 & mem(all_212_1_107, e) = 0) % 215.75/149.22 | % 215.75/149.22 +-Applying beta-rule and splitting (5279), into two cases. % 215.75/149.22 |-Branch one: % 215.75/149.22 | (5280) all_395_0_1105 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.75/149.22 | % 215.75/149.22 | Applying alpha-rule on (5280) yields: % 215.75/149.22 | (5281) all_395_0_1105 = 0 % 215.75/149.22 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.75/149.22 | (536) all_212_1_107 = e % 215.75/149.22 | % 215.75/149.22 | From (536) and (310) follows: % 215.75/149.22 | (537) mem(all_244_1_112, e) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.75/149.22 | (538) $false % 215.75/149.22 | % 215.75/149.22 |-The branch is then unsatisfiable % 215.75/149.22 |-Branch two: % 215.75/149.22 | (5286) all_395_0_1105 = 0 & mem(all_212_1_107, e) = 0 % 215.75/149.22 | % 215.75/149.22 | Applying alpha-rule on (5286) yields: % 215.75/149.22 | (5281) all_395_0_1105 = 0 % 215.75/149.22 | (541) mem(all_212_1_107, e) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.75/149.22 | (538) $false % 215.75/149.22 | % 215.75/149.22 |-The branch is then unsatisfiable % 215.75/149.22 |-Branch two: % 215.75/149.22 | (5290) all_343_0_1096 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.75/149.22 | % 215.75/149.22 | Applying alpha-rule on (5290) yields: % 215.75/149.22 | (5264) all_343_0_1096 = 0 % 215.75/149.22 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.75/149.22 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.75/149.22 | % 215.75/149.22 | Instantiating (546) with all_384_0_1106 yields: % 215.75/149.22 | (5294) (all_384_0_1106 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_384_0_1106 = 0 & mem(all_181_1_101, e) = 0) % 215.75/149.22 | % 215.75/149.22 +-Applying beta-rule and splitting (5262), into two cases. % 215.75/149.22 |-Branch one: % 215.75/149.22 | (5295) all_376_0_1104 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.75/149.22 | % 215.75/149.22 | Applying alpha-rule on (5295) yields: % 215.75/149.22 | (5296) all_376_0_1104 = 0 % 215.75/149.22 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.75/149.22 | (1953) all_110_1_81 = e % 215.75/149.22 | % 215.75/149.22 | From (1953) and (210) follows: % 215.75/149.22 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.75/149.22 | % 215.75/149.22 +-Applying beta-rule and splitting (5294), into two cases. % 215.75/149.22 |-Branch one: % 215.75/149.22 | (5300) all_384_0_1106 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.75/149.22 | % 215.75/149.22 | Applying alpha-rule on (5300) yields: % 215.75/149.22 | (5301) all_384_0_1106 = 0 % 215.75/149.22 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.75/149.22 | (588) all_181_1_101 = e % 215.75/149.22 | % 215.75/149.22 | From (588) and (267) follows: % 215.75/149.22 | (1959) mem(e, all_74_1_69) = 0 % 215.75/149.22 | % 215.75/149.22 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.75/149.22 | (233) all_110_0_80 = 0 % 215.75/149.22 | % 215.75/149.22 | Equations (233) can reduce 209 to: % 215.75/149.22 | (175) $false % 215.75/149.22 | % 215.75/149.22 |-The branch is then unsatisfiable % 215.75/149.22 |-Branch two: % 215.75/149.22 | (5307) all_384_0_1106 = 0 & mem(all_181_1_101, e) = 0 % 215.75/149.22 | % 215.75/149.22 | Applying alpha-rule on (5307) yields: % 215.75/149.23 | (5301) all_384_0_1106 = 0 % 215.75/149.23 | (603) mem(all_181_1_101, e) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.75/149.23 | (538) $false % 215.75/149.23 | % 215.75/149.23 |-The branch is then unsatisfiable % 215.75/149.23 |-Branch two: % 215.75/149.23 | (5311) all_376_0_1104 = 0 & mem(all_110_1_81, e) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5311) yields: % 215.75/149.23 | (5296) all_376_0_1104 = 0 % 215.75/149.23 | (1968) mem(all_110_1_81, e) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.75/149.23 | (538) $false % 215.75/149.23 | % 215.75/149.23 |-The branch is then unsatisfiable % 215.75/149.23 |-Branch two: % 215.75/149.23 | (4553) all_292_0_942 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (4553) yields: % 215.75/149.23 | (4547) all_292_0_942 = 0 % 215.75/149.23 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 215.75/149.23 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 215.75/149.23 | % 215.75/149.23 | Instantiating (608) with all_332_0_1114 yields: % 215.75/149.23 | (5319) (all_332_0_1114 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_1114 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 215.75/149.23 | % 215.75/149.23 +-Applying beta-rule and splitting (5030), into two cases. % 215.75/149.23 |-Branch one: % 215.75/149.23 | (5089) all_300_0_1066 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5089) yields: % 215.75/149.23 | (5090) all_300_0_1066 = 0 % 215.75/149.23 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 215.75/149.23 | (483) all_181_1_101 = all_0_5_5 % 215.75/149.23 | % 215.75/149.23 | From (483) and (259) follows: % 215.75/149.23 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 215.75/149.23 | % 215.75/149.23 +-Applying beta-rule and splitting (5071), into two cases. % 215.75/149.23 |-Branch one: % 215.75/149.23 | (5101) all_316_0_1075 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5101) yields: % 215.75/149.23 | (5102) all_316_0_1075 = 0 % 215.75/149.23 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 215.75/149.23 | (507) all_212_1_107 = all_0_5_5 % 215.75/149.23 | % 215.75/149.23 | From (507) and (281) follows: % 215.75/149.23 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 215.75/149.23 | (526) all_181_0_100 = 0 % 215.75/149.23 | % 215.75/149.23 | Equations (526) can reduce 258 to: % 215.75/149.23 | (175) $false % 215.75/149.23 | % 215.75/149.23 |-The branch is then unsatisfiable % 215.75/149.23 |-Branch two: % 215.75/149.23 | (5108) all_316_0_1075 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5108) yields: % 215.75/149.23 | (5102) all_316_0_1075 = 0 % 215.75/149.23 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 215.75/149.23 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 215.75/149.23 | % 215.75/149.23 | Instantiating (514) with all_368_0_1119 yields: % 215.75/149.23 | (5336) (all_368_0_1119 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_1119 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 215.75/149.23 | % 215.75/149.23 +-Applying beta-rule and splitting (5201), into two cases. % 215.75/149.23 |-Branch one: % 215.75/149.23 | (5231) all_324_0_1095 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5231) yields: % 215.75/149.23 | (5232) all_324_0_1095 = 0 % 215.75/149.23 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.75/149.23 | (1884) all_110_1_81 = all_0_6_6 % 215.75/149.23 | % 215.75/149.23 | From (1884) and (210) follows: % 215.75/149.23 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.75/149.23 | % 215.75/149.23 +-Applying beta-rule and splitting (5336), into two cases. % 215.75/149.23 |-Branch one: % 215.75/149.23 | (5342) all_368_0_1119 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5342) yields: % 215.75/149.23 | (5343) all_368_0_1119 = 0 % 215.75/149.23 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.75/149.23 | (524) all_212_1_107 = all_0_6_6 % 215.75/149.23 | % 215.75/149.23 | From (524) and (301) follows: % 215.75/149.23 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.75/149.23 | (233) all_110_0_80 = 0 % 215.75/149.23 | % 215.75/149.23 | Equations (233) can reduce 209 to: % 215.75/149.23 | (175) $false % 215.75/149.23 | % 215.75/149.23 |-The branch is then unsatisfiable % 215.75/149.23 |-Branch two: % 215.75/149.23 | (5349) all_368_0_1119 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5349) yields: % 215.75/149.23 | (5343) all_368_0_1119 = 0 % 215.75/149.23 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.75/149.23 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.75/149.23 | % 215.75/149.23 | Instantiating (531) with all_395_0_1121 yields: % 215.75/149.23 | (5353) (all_395_0_1121 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1121 = 0 & mem(all_212_1_107, e) = 0) % 215.75/149.23 | % 215.75/149.23 +-Applying beta-rule and splitting (5353), into two cases. % 215.75/149.23 |-Branch one: % 215.75/149.23 | (5354) all_395_0_1121 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5354) yields: % 215.75/149.23 | (5355) all_395_0_1121 = 0 % 215.75/149.23 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.75/149.23 | (536) all_212_1_107 = e % 215.75/149.23 | % 215.75/149.23 | From (536) and (310) follows: % 215.75/149.23 | (537) mem(all_244_1_112, e) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.75/149.23 | (538) $false % 215.75/149.23 | % 215.75/149.23 |-The branch is then unsatisfiable % 215.75/149.23 |-Branch two: % 215.75/149.23 | (5360) all_395_0_1121 = 0 & mem(all_212_1_107, e) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5360) yields: % 215.75/149.23 | (5355) all_395_0_1121 = 0 % 215.75/149.23 | (541) mem(all_212_1_107, e) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.75/149.23 | (538) $false % 215.75/149.23 | % 215.75/149.23 |-The branch is then unsatisfiable % 215.75/149.23 |-Branch two: % 215.75/149.23 | (5258) all_324_0_1095 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5258) yields: % 215.75/149.23 | (5232) all_324_0_1095 = 0 % 215.75/149.23 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.75/149.23 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.75/149.23 | % 215.75/149.23 | Instantiating (1911) with all_376_0_1122 yields: % 215.75/149.23 | (5368) (all_376_0_1122 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_376_0_1122 = 0 & mem(all_110_1_81, e) = 0) % 215.75/149.23 | % 215.75/149.23 +-Applying beta-rule and splitting (5319), into two cases. % 215.75/149.23 |-Branch one: % 215.75/149.23 | (5369) all_332_0_1114 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.75/149.23 | % 215.75/149.23 | Applying alpha-rule on (5369) yields: % 215.75/149.23 | (5370) all_332_0_1114 = 0 % 215.75/149.23 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.75/149.23 | % 215.75/149.23 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.75/149.23 | (642) all_135_1_87 = all_0_6_6 % 215.75/149.23 | % 215.75/149.23 | From (642) and (231) follows: % 215.75/149.23 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 215.75/149.23 | % 215.75/149.24 +-Applying beta-rule and splitting (5336), into two cases. % 215.75/149.24 |-Branch one: % 215.75/149.24 | (5342) all_368_0_1119 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 215.75/149.24 | % 215.75/149.24 | Applying alpha-rule on (5342) yields: % 215.75/149.24 | (5343) all_368_0_1119 = 0 % 215.75/149.24 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 215.75/149.24 | % 215.75/149.24 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 215.75/149.24 | (524) all_212_1_107 = all_0_6_6 % 215.75/149.24 | % 215.75/149.24 | From (524) and (286) follows: % 215.75/149.24 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.75/149.24 | % 215.75/149.24 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.75/149.24 | (261) all_135_0_86 = 0 % 215.75/149.24 | % 215.75/149.24 | Equations (261) can reduce 230 to: % 215.75/149.24 | (175) $false % 215.75/149.24 | % 215.75/149.24 |-The branch is then unsatisfiable % 215.75/149.24 |-Branch two: % 215.75/149.24 | (5349) all_368_0_1119 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 215.75/149.24 | % 215.75/149.24 | Applying alpha-rule on (5349) yields: % 215.75/149.24 | (5343) all_368_0_1119 = 0 % 215.75/149.24 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 215.75/149.24 | % 215.75/149.24 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 215.75/149.24 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 215.75/149.24 | % 215.75/149.24 | Instantiating (531) with all_395_0_1123 yields: % 215.75/149.24 | (5385) (all_395_0_1123 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1123 = 0 & mem(all_212_1_107, e) = 0) % 215.75/149.24 | % 215.75/149.24 +-Applying beta-rule and splitting (5385), into two cases. % 215.75/149.24 |-Branch one: % 215.75/149.24 | (5386) all_395_0_1123 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 215.75/149.24 | % 215.75/149.24 | Applying alpha-rule on (5386) yields: % 215.75/149.24 | (5387) all_395_0_1123 = 0 % 215.75/149.24 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 215.75/149.24 | % 215.75/149.24 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 215.75/149.24 | (536) all_212_1_107 = e % 215.75/149.24 | % 215.75/149.24 | From (536) and (310) follows: % 215.75/149.24 | (537) mem(all_244_1_112, e) = 0 % 215.75/149.24 | % 215.75/149.24 | Instantiating formula (18) with all_244_1_112 and discharging atoms mem(all_244_1_112, e) = 0, yields: % 215.75/149.24 | (538) $false % 215.75/149.24 | % 215.75/149.24 |-The branch is then unsatisfiable % 215.75/149.24 |-Branch two: % 215.83/149.24 | (5392) all_395_0_1123 = 0 & mem(all_212_1_107, e) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5392) yields: % 215.83/149.24 | (5387) all_395_0_1123 = 0 % 215.83/149.24 | (541) mem(all_212_1_107, e) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 215.83/149.24 | (538) $false % 215.83/149.24 | % 215.83/149.24 |-The branch is then unsatisfiable % 215.83/149.24 |-Branch two: % 215.83/149.24 | (5396) all_332_0_1114 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5396) yields: % 215.83/149.24 | (5370) all_332_0_1114 = 0 % 215.83/149.24 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.83/149.24 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.83/149.24 | % 215.83/149.24 | Instantiating (669) with all_384_0_1124 yields: % 215.83/149.24 | (5400) (all_384_0_1124 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_384_0_1124 = 0 & mem(all_135_1_87, e) = 0) % 215.83/149.24 | % 215.83/149.24 +-Applying beta-rule and splitting (5368), into two cases. % 215.83/149.24 |-Branch one: % 215.83/149.24 | (5401) all_376_0_1122 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5401) yields: % 215.83/149.24 | (5402) all_376_0_1122 = 0 % 215.83/149.24 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.83/149.24 | (1953) all_110_1_81 = e % 215.83/149.24 | % 215.83/149.24 | From (1953) and (210) follows: % 215.83/149.24 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.83/149.24 | % 215.83/149.24 +-Applying beta-rule and splitting (5400), into two cases. % 215.83/149.24 |-Branch one: % 215.83/149.24 | (5406) all_384_0_1124 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5406) yields: % 215.83/149.24 | (5407) all_384_0_1124 = 0 % 215.83/149.24 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.83/149.24 | (711) all_135_1_87 = e % 215.83/149.24 | % 215.83/149.24 | From (711) and (232) follows: % 215.83/149.24 | (1959) mem(e, all_74_1_69) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.83/149.24 | (233) all_110_0_80 = 0 % 215.83/149.24 | % 215.83/149.24 | Equations (233) can reduce 209 to: % 215.83/149.24 | (175) $false % 215.83/149.24 | % 215.83/149.24 |-The branch is then unsatisfiable % 215.83/149.24 |-Branch two: % 215.83/149.24 | (5413) all_384_0_1124 = 0 & mem(all_135_1_87, e) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5413) yields: % 215.83/149.24 | (5407) all_384_0_1124 = 0 % 215.83/149.24 | (726) mem(all_135_1_87, e) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.83/149.24 | (538) $false % 215.83/149.24 | % 215.83/149.24 |-The branch is then unsatisfiable % 215.83/149.24 |-Branch two: % 215.83/149.24 | (5417) all_376_0_1122 = 0 & mem(all_110_1_81, e) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5417) yields: % 215.83/149.24 | (5402) all_376_0_1122 = 0 % 215.83/149.24 | (1968) mem(all_110_1_81, e) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.83/149.24 | (538) $false % 215.83/149.24 | % 215.83/149.24 |-The branch is then unsatisfiable % 215.83/149.24 |-Branch two: % 215.83/149.24 | (5096) all_300_0_1066 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5096) yields: % 215.83/149.24 | (5090) all_300_0_1066 = 0 % 215.83/149.24 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 215.83/149.24 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 215.83/149.24 | % 215.83/149.24 | Instantiating (490) with all_340_0_1132 yields: % 215.83/149.24 | (5425) (all_340_0_1132 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_340_0_1132 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 215.83/149.24 | % 215.83/149.24 +-Applying beta-rule and splitting (5201), into two cases. % 215.83/149.24 |-Branch one: % 215.83/149.24 | (5231) all_324_0_1095 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5231) yields: % 215.83/149.24 | (5232) all_324_0_1095 = 0 % 215.83/149.24 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.83/149.24 | (1884) all_110_1_81 = all_0_6_6 % 215.83/149.24 | % 215.83/149.24 | From (1884) and (210) follows: % 215.83/149.24 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.83/149.24 | % 215.83/149.24 +-Applying beta-rule and splitting (5319), into two cases. % 215.83/149.24 |-Branch one: % 215.83/149.24 | (5369) all_332_0_1114 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5369) yields: % 215.83/149.24 | (5370) all_332_0_1114 = 0 % 215.83/149.24 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.83/149.24 | (642) all_135_1_87 = all_0_6_6 % 215.83/149.24 | % 215.83/149.24 | From (642) and (232) follows: % 215.83/149.24 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.83/149.24 | (233) all_110_0_80 = 0 % 215.83/149.24 | % 215.83/149.24 | Equations (233) can reduce 209 to: % 215.83/149.24 | (175) $false % 215.83/149.24 | % 215.83/149.24 |-The branch is then unsatisfiable % 215.83/149.24 |-Branch two: % 215.83/149.24 | (5396) all_332_0_1114 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.24 | % 215.83/149.24 | Applying alpha-rule on (5396) yields: % 215.83/149.24 | (5370) all_332_0_1114 = 0 % 215.83/149.24 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.24 | % 215.83/149.24 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.83/149.25 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.83/149.25 | % 215.83/149.25 | Instantiating (669) with all_396_0_1140 yields: % 215.83/149.25 | (5442) (all_396_0_1140 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_396_0_1140 = 0 & mem(all_135_1_87, e) = 0) % 215.83/149.25 | % 215.83/149.25 +-Applying beta-rule and splitting (5425), into two cases. % 215.83/149.25 |-Branch one: % 215.83/149.25 | (5443) all_340_0_1132 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5443) yields: % 215.83/149.25 | (5444) all_340_0_1132 = 0 % 215.83/149.25 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.83/149.25 | (519) all_181_1_101 = all_0_6_6 % 215.83/149.25 | % 215.83/149.25 | From (519) and (267) follows: % 215.83/149.25 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.83/149.25 | (233) all_110_0_80 = 0 % 215.83/149.25 | % 215.83/149.25 | Equations (233) can reduce 209 to: % 215.83/149.25 | (175) $false % 215.83/149.25 | % 215.83/149.25 |-The branch is then unsatisfiable % 215.83/149.25 |-Branch two: % 215.83/149.25 | (5450) all_340_0_1132 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5450) yields: % 215.83/149.25 | (5444) all_340_0_1132 = 0 % 215.83/149.25 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.83/149.25 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.83/149.25 | % 215.83/149.25 | Instantiating (546) with all_404_0_1141 yields: % 215.83/149.25 | (5454) (all_404_0_1141 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_404_0_1141 = 0 & mem(all_181_1_101, e) = 0) % 215.83/149.25 | % 215.83/149.25 +-Applying beta-rule and splitting (5442), into two cases. % 215.83/149.25 |-Branch one: % 215.83/149.25 | (5455) all_396_0_1140 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5455) yields: % 215.83/149.25 | (5456) all_396_0_1140 = 0 % 215.83/149.25 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.83/149.25 | (711) all_135_1_87 = e % 215.83/149.25 | % 215.83/149.25 | From (711) and (231) follows: % 215.83/149.25 | (712) mem(e, all_99_1_77) = all_135_0_86 % 215.83/149.25 | % 215.83/149.25 +-Applying beta-rule and splitting (5454), into two cases. % 215.83/149.25 |-Branch one: % 215.83/149.25 | (5460) all_404_0_1141 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5460) yields: % 215.83/149.25 | (5461) all_404_0_1141 = 0 % 215.83/149.25 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.83/149.25 | (588) all_181_1_101 = e % 215.83/149.25 | % 215.83/149.25 | From (588) and (260) follows: % 215.83/149.25 | (717) mem(e, all_99_1_77) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 215.83/149.25 | (261) all_135_0_86 = 0 % 215.83/149.25 | % 215.83/149.25 | Equations (261) can reduce 230 to: % 215.83/149.25 | (175) $false % 215.83/149.25 | % 215.83/149.25 |-The branch is then unsatisfiable % 215.83/149.25 |-Branch two: % 215.83/149.25 | (5467) all_404_0_1141 = 0 & mem(all_181_1_101, e) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5467) yields: % 215.83/149.25 | (5461) all_404_0_1141 = 0 % 215.83/149.25 | (603) mem(all_181_1_101, e) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.83/149.25 | (538) $false % 215.83/149.25 | % 215.83/149.25 |-The branch is then unsatisfiable % 215.83/149.25 |-Branch two: % 215.83/149.25 | (5471) all_396_0_1140 = 0 & mem(all_135_1_87, e) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5471) yields: % 215.83/149.25 | (5456) all_396_0_1140 = 0 % 215.83/149.25 | (726) mem(all_135_1_87, e) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.83/149.25 | (538) $false % 215.83/149.25 | % 215.83/149.25 |-The branch is then unsatisfiable % 215.83/149.25 |-Branch two: % 215.83/149.25 | (5258) all_324_0_1095 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5258) yields: % 215.83/149.25 | (5232) all_324_0_1095 = 0 % 215.83/149.25 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.83/149.25 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.83/149.25 | % 215.83/149.25 | Instantiating (1911) with all_384_0_1144 yields: % 215.83/149.25 | (5479) (all_384_0_1144 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_384_0_1144 = 0 & mem(all_110_1_81, e) = 0) % 215.83/149.25 | % 215.83/149.25 +-Applying beta-rule and splitting (5319), into two cases. % 215.83/149.25 |-Branch one: % 215.83/149.25 | (5369) all_332_0_1114 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5369) yields: % 215.83/149.25 | (5370) all_332_0_1114 = 0 % 215.83/149.25 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.83/149.25 | (642) all_135_1_87 = all_0_6_6 % 215.83/149.25 | % 215.83/149.25 | From (642) and (231) follows: % 215.83/149.25 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 215.83/149.25 | % 215.83/149.25 +-Applying beta-rule and splitting (5425), into two cases. % 215.83/149.25 |-Branch one: % 215.83/149.25 | (5443) all_340_0_1132 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5443) yields: % 215.83/149.25 | (5444) all_340_0_1132 = 0 % 215.83/149.25 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.83/149.25 | (519) all_181_1_101 = all_0_6_6 % 215.83/149.25 | % 215.83/149.25 | From (519) and (260) follows: % 215.83/149.25 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.83/149.25 | (261) all_135_0_86 = 0 % 215.83/149.25 | % 215.83/149.25 | Equations (261) can reduce 230 to: % 215.83/149.25 | (175) $false % 215.83/149.25 | % 215.83/149.25 |-The branch is then unsatisfiable % 215.83/149.25 |-Branch two: % 215.83/149.25 | (5450) all_340_0_1132 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5450) yields: % 215.83/149.25 | (5444) all_340_0_1132 = 0 % 215.83/149.25 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.83/149.25 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.83/149.25 | % 215.83/149.25 | Instantiating (546) with all_404_0_1146 yields: % 215.83/149.25 | (5496) (all_404_0_1146 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_404_0_1146 = 0 & mem(all_181_1_101, e) = 0) % 215.83/149.25 | % 215.83/149.25 +-Applying beta-rule and splitting (5479), into two cases. % 215.83/149.25 |-Branch one: % 215.83/149.25 | (5497) all_384_0_1144 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5497) yields: % 215.83/149.25 | (5498) all_384_0_1144 = 0 % 215.83/149.25 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.83/149.25 | (1953) all_110_1_81 = e % 215.83/149.25 | % 215.83/149.25 | From (1953) and (210) follows: % 215.83/149.25 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.83/149.25 | % 215.83/149.25 +-Applying beta-rule and splitting (5496), into two cases. % 215.83/149.25 |-Branch one: % 215.83/149.25 | (5502) all_404_0_1146 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5502) yields: % 215.83/149.25 | (5503) all_404_0_1146 = 0 % 215.83/149.25 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.83/149.25 | (588) all_181_1_101 = e % 215.83/149.25 | % 215.83/149.25 | From (588) and (267) follows: % 215.83/149.25 | (1959) mem(e, all_74_1_69) = 0 % 215.83/149.25 | % 215.83/149.25 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.83/149.25 | (233) all_110_0_80 = 0 % 215.83/149.25 | % 215.83/149.25 | Equations (233) can reduce 209 to: % 215.83/149.25 | (175) $false % 215.83/149.25 | % 215.83/149.25 |-The branch is then unsatisfiable % 215.83/149.25 |-Branch two: % 215.83/149.25 | (5509) all_404_0_1146 = 0 & mem(all_181_1_101, e) = 0 % 215.83/149.25 | % 215.83/149.25 | Applying alpha-rule on (5509) yields: % 215.83/149.25 | (5503) all_404_0_1146 = 0 % 215.83/149.26 | (603) mem(all_181_1_101, e) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.83/149.26 | (538) $false % 215.83/149.26 | % 215.83/149.26 |-The branch is then unsatisfiable % 215.83/149.26 |-Branch two: % 215.83/149.26 | (5513) all_384_0_1144 = 0 & mem(all_110_1_81, e) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (5513) yields: % 215.83/149.26 | (5498) all_384_0_1144 = 0 % 215.83/149.26 | (1968) mem(all_110_1_81, e) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.83/149.26 | (538) $false % 215.83/149.26 | % 215.83/149.26 |-The branch is then unsatisfiable % 215.83/149.26 |-Branch two: % 215.83/149.26 | (5396) all_332_0_1114 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (5396) yields: % 215.83/149.26 | (5370) all_332_0_1114 = 0 % 215.83/149.26 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.83/149.26 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.83/149.26 | % 215.83/149.26 | Instantiating (669) with all_393_0_1147 yields: % 215.83/149.26 | (5521) (all_393_0_1147 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_393_0_1147 = 0 & mem(all_135_1_87, e) = 0) % 215.83/149.26 | % 215.83/149.26 +-Applying beta-rule and splitting (5479), into two cases. % 215.83/149.26 |-Branch one: % 215.83/149.26 | (5497) all_384_0_1144 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (5497) yields: % 215.83/149.26 | (5498) all_384_0_1144 = 0 % 215.83/149.26 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.83/149.26 | (1953) all_110_1_81 = e % 215.83/149.26 | % 215.83/149.26 | From (1953) and (210) follows: % 215.83/149.26 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.83/149.26 | % 215.83/149.26 +-Applying beta-rule and splitting (5521), into two cases. % 215.83/149.26 |-Branch one: % 215.83/149.26 | (5527) all_393_0_1147 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (5527) yields: % 215.83/149.26 | (5528) all_393_0_1147 = 0 % 215.83/149.26 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.83/149.26 | (711) all_135_1_87 = e % 215.83/149.26 | % 215.83/149.26 | From (711) and (232) follows: % 215.83/149.26 | (1959) mem(e, all_74_1_69) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.83/149.26 | (233) all_110_0_80 = 0 % 215.83/149.26 | % 215.83/149.26 | Equations (233) can reduce 209 to: % 215.83/149.26 | (175) $false % 215.83/149.26 | % 215.83/149.26 |-The branch is then unsatisfiable % 215.83/149.26 |-Branch two: % 215.83/149.26 | (5534) all_393_0_1147 = 0 & mem(all_135_1_87, e) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (5534) yields: % 215.83/149.26 | (5528) all_393_0_1147 = 0 % 215.83/149.26 | (726) mem(all_135_1_87, e) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.83/149.26 | (538) $false % 215.83/149.26 | % 215.83/149.26 |-The branch is then unsatisfiable % 215.83/149.26 |-Branch two: % 215.83/149.26 | (5513) all_384_0_1144 = 0 & mem(all_110_1_81, e) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (5513) yields: % 215.83/149.26 | (5498) all_384_0_1144 = 0 % 215.83/149.26 | (1968) mem(all_110_1_81, e) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.83/149.26 | (538) $false % 215.83/149.26 | % 215.83/149.26 |-The branch is then unsatisfiable % 215.83/149.26 |-Branch two: % 215.83/149.26 | (434) all_259_0_114 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (434) yields: % 215.83/149.26 | (404) all_259_0_114 = 0 % 215.83/149.26 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 215.83/149.26 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 215.83/149.26 | % 215.83/149.26 | Instantiating (437) with all_308_0_1148 yields: % 215.83/149.26 | (5546) (all_308_0_1148 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_1148 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 215.83/149.26 | % 215.83/149.26 +-Applying beta-rule and splitting (1598), into two cases. % 215.83/149.26 |-Branch one: % 215.83/149.26 | (1717) all_273_0_379 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (1717) yields: % 215.83/149.26 | (1718) all_273_0_379 = 0 % 215.83/149.26 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 215.83/149.26 | (1720) all_110_1_81 = all_0_5_5 % 215.83/149.26 | % 215.83/149.26 | From (1720) and (210) follows: % 215.83/149.26 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 215.83/149.26 | % 215.83/149.26 +-Applying beta-rule and splitting (4463), into two cases. % 215.83/149.26 |-Branch one: % 215.83/149.26 | (4546) all_292_0_942 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (4546) yields: % 215.83/149.26 | (4547) all_292_0_942 = 0 % 215.83/149.26 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 215.83/149.26 | (478) all_135_1_87 = all_0_5_5 % 215.83/149.26 | % 215.83/149.26 | From (478) and (232) follows: % 215.83/149.26 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.83/149.26 | (233) all_110_0_80 = 0 % 215.83/149.26 | % 215.83/149.26 | Equations (233) can reduce 209 to: % 215.83/149.26 | (175) $false % 215.83/149.26 | % 215.83/149.26 |-The branch is then unsatisfiable % 215.83/149.26 |-Branch two: % 215.83/149.26 | (4553) all_292_0_942 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (4553) yields: % 215.83/149.26 | (4547) all_292_0_942 = 0 % 215.83/149.26 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 215.83/149.26 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 215.83/149.26 | % 215.83/149.26 | Instantiating (608) with all_335_0_1150 yields: % 215.83/149.26 | (5563) (all_335_0_1150 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_1150 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 215.83/149.26 | % 215.83/149.26 +-Applying beta-rule and splitting (5030), into two cases. % 215.83/149.26 |-Branch one: % 215.83/149.26 | (5089) all_300_0_1066 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (5089) yields: % 215.83/149.26 | (5090) all_300_0_1066 = 0 % 215.83/149.26 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 215.83/149.26 | (483) all_181_1_101 = all_0_5_5 % 215.83/149.26 | % 215.83/149.26 | From (483) and (267) follows: % 215.83/149.26 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.83/149.26 | (233) all_110_0_80 = 0 % 215.83/149.26 | % 215.83/149.26 | Equations (233) can reduce 209 to: % 215.83/149.26 | (175) $false % 215.83/149.26 | % 215.83/149.26 |-The branch is then unsatisfiable % 215.83/149.26 |-Branch two: % 215.83/149.26 | (5096) all_300_0_1066 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 215.83/149.26 | % 215.83/149.26 | Applying alpha-rule on (5096) yields: % 215.83/149.26 | (5090) all_300_0_1066 = 0 % 215.83/149.26 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 215.83/149.26 | % 215.83/149.26 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 215.83/149.26 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 215.83/149.26 | % 215.83/149.26 | Instantiating (490) with all_343_0_1151 yields: % 215.83/149.26 | (5575) (all_343_0_1151 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_1151 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 215.83/149.26 | % 215.83/149.26 +-Applying beta-rule and splitting (5546), into two cases. % 215.83/149.26 |-Branch one: % 215.83/149.27 | (5576) all_308_0_1148 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5576) yields: % 215.83/149.27 | (5577) all_308_0_1148 = 0 % 215.83/149.27 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 215.83/149.27 | (495) all_165_2_96 = all_0_5_5 % 215.83/149.27 | % 215.83/149.27 | From (495) and (288) follows: % 215.83/149.27 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 215.83/149.27 | (233) all_110_0_80 = 0 % 215.83/149.27 | % 215.83/149.27 | Equations (233) can reduce 209 to: % 215.83/149.27 | (175) $false % 215.83/149.27 | % 215.83/149.27 |-The branch is then unsatisfiable % 215.83/149.27 |-Branch two: % 215.83/149.27 | (5583) all_308_0_1148 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5583) yields: % 215.83/149.27 | (5577) all_308_0_1148 = 0 % 215.83/149.27 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 215.83/149.27 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 215.83/149.27 | % 215.83/149.27 | Instantiating (502) with all_351_0_1152 yields: % 215.83/149.27 | (5587) (all_351_0_1152 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_1152 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 215.83/149.27 | % 215.83/149.27 +-Applying beta-rule and splitting (5563), into two cases. % 215.83/149.27 |-Branch one: % 215.83/149.27 | (5588) all_335_0_1150 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5588) yields: % 215.83/149.27 | (5589) all_335_0_1150 = 0 % 215.83/149.27 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.83/149.27 | (642) all_135_1_87 = all_0_6_6 % 215.83/149.27 | % 215.83/149.27 | From (642) and (231) follows: % 215.83/149.27 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 215.83/149.27 | % 215.83/149.27 +-Applying beta-rule and splitting (5575), into two cases. % 215.83/149.27 |-Branch one: % 215.83/149.27 | (5593) all_343_0_1151 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5593) yields: % 215.83/149.27 | (5594) all_343_0_1151 = 0 % 215.83/149.27 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.83/149.27 | (519) all_181_1_101 = all_0_6_6 % 215.83/149.27 | % 215.83/149.27 | From (519) and (260) follows: % 215.83/149.27 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.83/149.27 | (261) all_135_0_86 = 0 % 215.83/149.27 | % 215.83/149.27 | Equations (261) can reduce 230 to: % 215.83/149.27 | (175) $false % 215.83/149.27 | % 215.83/149.27 |-The branch is then unsatisfiable % 215.83/149.27 |-Branch two: % 215.83/149.27 | (5600) all_343_0_1151 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5600) yields: % 215.83/149.27 | (5594) all_343_0_1151 = 0 % 215.83/149.27 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.83/149.27 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.83/149.27 | % 215.83/149.27 | Instantiating (546) with all_395_0_1155 yields: % 215.83/149.27 | (5604) (all_395_0_1155 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_395_0_1155 = 0 & mem(all_181_1_101, e) = 0) % 215.83/149.27 | % 215.83/149.27 +-Applying beta-rule and splitting (5587), into two cases. % 215.83/149.27 |-Branch one: % 215.83/149.27 | (5605) all_351_0_1152 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5605) yields: % 215.83/149.27 | (5606) all_351_0_1152 = 0 % 215.83/149.27 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.83/149.27 | (551) all_165_2_96 = all_0_6_6 % 215.83/149.27 | % 215.83/149.27 | From (551) and (268) follows: % 215.83/149.27 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.83/149.27 | (261) all_135_0_86 = 0 % 215.83/149.27 | % 215.83/149.27 | Equations (261) can reduce 230 to: % 215.83/149.27 | (175) $false % 215.83/149.27 | % 215.83/149.27 |-The branch is then unsatisfiable % 215.83/149.27 |-Branch two: % 215.83/149.27 | (5612) all_351_0_1152 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5612) yields: % 215.83/149.27 | (5606) all_351_0_1152 = 0 % 215.83/149.27 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.83/149.27 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.83/149.27 | % 215.83/149.27 | Instantiating (583) with all_403_0_1156 yields: % 215.83/149.27 | (5616) (all_403_0_1156 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_1156 = 0 & mem(all_165_2_96, e) = 0) % 215.83/149.27 | % 215.83/149.27 +-Applying beta-rule and splitting (5604), into two cases. % 215.83/149.27 |-Branch one: % 215.83/149.27 | (5617) all_395_0_1155 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5617) yields: % 215.83/149.27 | (5618) all_395_0_1155 = 0 % 215.83/149.27 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.83/149.27 | (588) all_181_1_101 = e % 215.83/149.27 | % 215.83/149.27 | From (588) and (259) follows: % 215.83/149.27 | (589) mem(e, all_129_1_85) = all_181_0_100 % 215.83/149.27 | % 215.83/149.27 +-Applying beta-rule and splitting (5616), into two cases. % 215.83/149.27 |-Branch one: % 215.83/149.27 | (5622) all_403_0_1156 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5622) yields: % 215.83/149.27 | (5623) all_403_0_1156 = 0 % 215.83/149.27 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.83/149.27 | (593) all_165_2_96 = e % 215.83/149.27 | % 215.83/149.27 | From (593) and (248) follows: % 215.83/149.27 | (594) mem(e, all_129_1_85) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 215.83/149.27 | (526) all_181_0_100 = 0 % 215.83/149.27 | % 215.83/149.27 | Equations (526) can reduce 258 to: % 215.83/149.27 | (175) $false % 215.83/149.27 | % 215.83/149.27 |-The branch is then unsatisfiable % 215.83/149.27 |-Branch two: % 215.83/149.27 | (5629) all_403_0_1156 = 0 & mem(all_165_2_96, e) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5629) yields: % 215.83/149.27 | (5623) all_403_0_1156 = 0 % 215.83/149.27 | (599) mem(all_165_2_96, e) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.83/149.27 | (538) $false % 215.83/149.27 | % 215.83/149.27 |-The branch is then unsatisfiable % 215.83/149.27 |-Branch two: % 215.83/149.27 | (5633) all_395_0_1155 = 0 & mem(all_181_1_101, e) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5633) yields: % 215.83/149.27 | (5618) all_395_0_1155 = 0 % 215.83/149.27 | (603) mem(all_181_1_101, e) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.83/149.27 | (538) $false % 215.83/149.27 | % 215.83/149.27 |-The branch is then unsatisfiable % 215.83/149.27 |-Branch two: % 215.83/149.27 | (5637) all_335_0_1150 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5637) yields: % 215.83/149.27 | (5589) all_335_0_1150 = 0 % 215.83/149.27 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.83/149.27 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.83/149.27 | % 215.83/149.27 | Instantiating (669) with all_388_0_1159 yields: % 215.83/149.27 | (5641) (all_388_0_1159 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_388_0_1159 = 0 & mem(all_135_1_87, e) = 0) % 215.83/149.27 | % 215.83/149.27 +-Applying beta-rule and splitting (5575), into two cases. % 215.83/149.27 |-Branch one: % 215.83/149.27 | (5593) all_343_0_1151 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.27 | % 215.83/149.27 | Applying alpha-rule on (5593) yields: % 215.83/149.27 | (5594) all_343_0_1151 = 0 % 215.83/149.27 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.27 | % 215.83/149.27 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.83/149.27 | (519) all_181_1_101 = all_0_6_6 % 215.83/149.27 | % 215.83/149.27 | From (519) and (259) follows: % 215.83/149.27 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 215.83/149.27 | % 215.83/149.27 +-Applying beta-rule and splitting (5587), into two cases. % 215.83/149.27 |-Branch one: % 215.83/149.28 | (5605) all_351_0_1152 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5605) yields: % 215.83/149.28 | (5606) all_351_0_1152 = 0 % 215.83/149.28 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.83/149.28 | (551) all_165_2_96 = all_0_6_6 % 215.83/149.28 | % 215.83/149.28 | From (551) and (248) follows: % 215.83/149.28 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 215.83/149.28 | (526) all_181_0_100 = 0 % 215.83/149.28 | % 215.83/149.28 | Equations (526) can reduce 258 to: % 215.83/149.28 | (175) $false % 215.83/149.28 | % 215.83/149.28 |-The branch is then unsatisfiable % 215.83/149.28 |-Branch two: % 215.83/149.28 | (5612) all_351_0_1152 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5612) yields: % 215.83/149.28 | (5606) all_351_0_1152 = 0 % 215.83/149.28 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.83/149.28 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.83/149.28 | % 215.83/149.28 | Instantiating (583) with all_407_0_1160 yields: % 215.83/149.28 | (5658) (all_407_0_1160 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_1160 = 0 & mem(all_165_2_96, e) = 0) % 215.83/149.28 | % 215.83/149.28 +-Applying beta-rule and splitting (5641), into two cases. % 215.83/149.28 |-Branch one: % 215.83/149.28 | (5659) all_388_0_1159 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5659) yields: % 215.83/149.28 | (5660) all_388_0_1159 = 0 % 215.83/149.28 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.83/149.28 | (711) all_135_1_87 = e % 215.83/149.28 | % 215.83/149.28 | From (711) and (231) follows: % 215.83/149.28 | (712) mem(e, all_99_1_77) = all_135_0_86 % 215.83/149.28 | % 215.83/149.28 +-Applying beta-rule and splitting (5658), into two cases. % 215.83/149.28 |-Branch one: % 215.83/149.28 | (5664) all_407_0_1160 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5664) yields: % 215.83/149.28 | (5665) all_407_0_1160 = 0 % 215.83/149.28 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.83/149.28 | (593) all_165_2_96 = e % 215.83/149.28 | % 215.83/149.28 | From (593) and (268) follows: % 215.83/149.28 | (717) mem(e, all_99_1_77) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 215.83/149.28 | (261) all_135_0_86 = 0 % 215.83/149.28 | % 215.83/149.28 | Equations (261) can reduce 230 to: % 215.83/149.28 | (175) $false % 215.83/149.28 | % 215.83/149.28 |-The branch is then unsatisfiable % 215.83/149.28 |-Branch two: % 215.83/149.28 | (5671) all_407_0_1160 = 0 & mem(all_165_2_96, e) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5671) yields: % 215.83/149.28 | (5665) all_407_0_1160 = 0 % 215.83/149.28 | (599) mem(all_165_2_96, e) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.83/149.28 | (538) $false % 215.83/149.28 | % 215.83/149.28 |-The branch is then unsatisfiable % 215.83/149.28 |-Branch two: % 215.83/149.28 | (5675) all_388_0_1159 = 0 & mem(all_135_1_87, e) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5675) yields: % 215.83/149.28 | (5660) all_388_0_1159 = 0 % 215.83/149.28 | (726) mem(all_135_1_87, e) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.83/149.28 | (538) $false % 215.83/149.28 | % 215.83/149.28 |-The branch is then unsatisfiable % 215.83/149.28 |-Branch two: % 215.83/149.28 | (5600) all_343_0_1151 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5600) yields: % 215.83/149.28 | (5594) all_343_0_1151 = 0 % 215.83/149.28 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.83/149.28 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.83/149.28 | % 215.83/149.28 | Instantiating (546) with all_396_0_1161 yields: % 215.83/149.28 | (5683) (all_396_0_1161 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_396_0_1161 = 0 & mem(all_181_1_101, e) = 0) % 215.83/149.28 | % 215.83/149.28 +-Applying beta-rule and splitting (5641), into two cases. % 215.83/149.28 |-Branch one: % 215.83/149.28 | (5659) all_388_0_1159 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5659) yields: % 215.83/149.28 | (5660) all_388_0_1159 = 0 % 215.83/149.28 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.83/149.28 | (711) all_135_1_87 = e % 215.83/149.28 | % 215.83/149.28 | From (711) and (231) follows: % 215.83/149.28 | (712) mem(e, all_99_1_77) = all_135_0_86 % 215.83/149.28 | % 215.83/149.28 +-Applying beta-rule and splitting (5683), into two cases. % 215.83/149.28 |-Branch one: % 215.83/149.28 | (5689) all_396_0_1161 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5689) yields: % 215.83/149.28 | (5690) all_396_0_1161 = 0 % 215.83/149.28 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.83/149.28 | (588) all_181_1_101 = e % 215.83/149.28 | % 215.83/149.28 | From (588) and (260) follows: % 215.83/149.28 | (717) mem(e, all_99_1_77) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 215.83/149.28 | (261) all_135_0_86 = 0 % 215.83/149.28 | % 215.83/149.28 | Equations (261) can reduce 230 to: % 215.83/149.28 | (175) $false % 215.83/149.28 | % 215.83/149.28 |-The branch is then unsatisfiable % 215.83/149.28 |-Branch two: % 215.83/149.28 | (5696) all_396_0_1161 = 0 & mem(all_181_1_101, e) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5696) yields: % 215.83/149.28 | (5690) all_396_0_1161 = 0 % 215.83/149.28 | (603) mem(all_181_1_101, e) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.83/149.28 | (538) $false % 215.83/149.28 | % 215.83/149.28 |-The branch is then unsatisfiable % 215.83/149.28 |-Branch two: % 215.83/149.28 | (5675) all_388_0_1159 = 0 & mem(all_135_1_87, e) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (5675) yields: % 215.83/149.28 | (5660) all_388_0_1159 = 0 % 215.83/149.28 | (726) mem(all_135_1_87, e) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.83/149.28 | (538) $false % 215.83/149.28 | % 215.83/149.28 |-The branch is then unsatisfiable % 215.83/149.28 |-Branch two: % 215.83/149.28 | (1847) all_273_0_379 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (1847) yields: % 215.83/149.28 | (1718) all_273_0_379 = 0 % 215.83/149.28 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 215.83/149.28 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 215.83/149.28 | % 215.83/149.28 | Instantiating (1850) with all_324_0_1170 yields: % 215.83/149.28 | (5708) (all_324_0_1170 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_1170 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 215.83/149.28 | % 215.83/149.28 +-Applying beta-rule and splitting (4463), into two cases. % 215.83/149.28 |-Branch one: % 215.83/149.28 | (4546) all_292_0_942 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 215.83/149.28 | % 215.83/149.28 | Applying alpha-rule on (4546) yields: % 215.83/149.28 | (4547) all_292_0_942 = 0 % 215.83/149.28 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 215.83/149.28 | % 215.83/149.28 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 215.83/149.29 | (478) all_135_1_87 = all_0_5_5 % 215.83/149.29 | % 215.83/149.29 | From (478) and (231) follows: % 215.83/149.29 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 215.83/149.29 | % 215.83/149.29 +-Applying beta-rule and splitting (5030), into two cases. % 215.83/149.29 |-Branch one: % 215.83/149.29 | (5089) all_300_0_1066 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5089) yields: % 215.83/149.29 | (5090) all_300_0_1066 = 0 % 215.83/149.29 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 215.83/149.29 | (483) all_181_1_101 = all_0_5_5 % 215.83/149.29 | % 215.83/149.29 | From (483) and (260) follows: % 215.83/149.29 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 215.83/149.29 | (261) all_135_0_86 = 0 % 215.83/149.29 | % 215.83/149.29 | Equations (261) can reduce 230 to: % 215.83/149.29 | (175) $false % 215.83/149.29 | % 215.83/149.29 |-The branch is then unsatisfiable % 215.83/149.29 |-Branch two: % 215.83/149.29 | (5096) all_300_0_1066 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5096) yields: % 215.83/149.29 | (5090) all_300_0_1066 = 0 % 215.83/149.29 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 215.83/149.29 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 215.83/149.29 | % 215.83/149.29 | Instantiating (490) with all_343_0_1171 yields: % 215.83/149.29 | (5725) (all_343_0_1171 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_1171 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 215.83/149.29 | % 215.83/149.29 +-Applying beta-rule and splitting (5546), into two cases. % 215.83/149.29 |-Branch one: % 215.83/149.29 | (5576) all_308_0_1148 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5576) yields: % 215.83/149.29 | (5577) all_308_0_1148 = 0 % 215.83/149.29 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 215.83/149.29 | (495) all_165_2_96 = all_0_5_5 % 215.83/149.29 | % 215.83/149.29 | From (495) and (268) follows: % 215.83/149.29 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 215.83/149.29 | (261) all_135_0_86 = 0 % 215.83/149.29 | % 215.83/149.29 | Equations (261) can reduce 230 to: % 215.83/149.29 | (175) $false % 215.83/149.29 | % 215.83/149.29 |-The branch is then unsatisfiable % 215.83/149.29 |-Branch two: % 215.83/149.29 | (5583) all_308_0_1148 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5583) yields: % 215.83/149.29 | (5577) all_308_0_1148 = 0 % 215.83/149.29 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 215.83/149.29 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 215.83/149.29 | % 215.83/149.29 | Instantiating (502) with all_351_0_1172 yields: % 215.83/149.29 | (5737) (all_351_0_1172 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_1172 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 215.83/149.29 | % 215.83/149.29 +-Applying beta-rule and splitting (5708), into two cases. % 215.83/149.29 |-Branch one: % 215.83/149.29 | (5738) all_324_0_1170 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5738) yields: % 215.83/149.29 | (5739) all_324_0_1170 = 0 % 215.83/149.29 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.83/149.29 | (1884) all_110_1_81 = all_0_6_6 % 215.83/149.29 | % 215.83/149.29 | From (1884) and (210) follows: % 215.83/149.29 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.83/149.29 | % 215.83/149.29 +-Applying beta-rule and splitting (5725), into two cases. % 215.83/149.29 |-Branch one: % 215.83/149.29 | (5743) all_343_0_1171 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5743) yields: % 215.83/149.29 | (5744) all_343_0_1171 = 0 % 215.83/149.29 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.83/149.29 | (519) all_181_1_101 = all_0_6_6 % 215.83/149.29 | % 215.83/149.29 | From (519) and (267) follows: % 215.83/149.29 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.83/149.29 | (233) all_110_0_80 = 0 % 215.83/149.29 | % 215.83/149.29 | Equations (233) can reduce 209 to: % 215.83/149.29 | (175) $false % 215.83/149.29 | % 215.83/149.29 |-The branch is then unsatisfiable % 215.83/149.29 |-Branch two: % 215.83/149.29 | (5750) all_343_0_1171 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5750) yields: % 215.83/149.29 | (5744) all_343_0_1171 = 0 % 215.83/149.29 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.83/149.29 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.83/149.29 | % 215.83/149.29 | Instantiating (546) with all_395_0_1175 yields: % 215.83/149.29 | (5754) (all_395_0_1175 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_395_0_1175 = 0 & mem(all_181_1_101, e) = 0) % 215.83/149.29 | % 215.83/149.29 +-Applying beta-rule and splitting (5737), into two cases. % 215.83/149.29 |-Branch one: % 215.83/149.29 | (5755) all_351_0_1172 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5755) yields: % 215.83/149.29 | (5756) all_351_0_1172 = 0 % 215.83/149.29 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.83/149.29 | (551) all_165_2_96 = all_0_6_6 % 215.83/149.29 | % 215.83/149.29 | From (551) and (288) follows: % 215.83/149.29 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.83/149.29 | (233) all_110_0_80 = 0 % 215.83/149.29 | % 215.83/149.29 | Equations (233) can reduce 209 to: % 215.83/149.29 | (175) $false % 215.83/149.29 | % 215.83/149.29 |-The branch is then unsatisfiable % 215.83/149.29 |-Branch two: % 215.83/149.29 | (5762) all_351_0_1172 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5762) yields: % 215.83/149.29 | (5756) all_351_0_1172 = 0 % 215.83/149.29 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.83/149.29 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.83/149.29 | % 215.83/149.29 | Instantiating (583) with all_403_0_1176 yields: % 215.83/149.29 | (5766) (all_403_0_1176 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_1176 = 0 & mem(all_165_2_96, e) = 0) % 215.83/149.29 | % 215.83/149.29 +-Applying beta-rule and splitting (5754), into two cases. % 215.83/149.29 |-Branch one: % 215.83/149.29 | (5767) all_395_0_1175 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5767) yields: % 215.83/149.29 | (5768) all_395_0_1175 = 0 % 215.83/149.29 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.83/149.29 | (588) all_181_1_101 = e % 215.83/149.29 | % 215.83/149.29 | From (588) and (259) follows: % 215.83/149.29 | (589) mem(e, all_129_1_85) = all_181_0_100 % 215.83/149.29 | % 215.83/149.29 +-Applying beta-rule and splitting (5766), into two cases. % 215.83/149.29 |-Branch one: % 215.83/149.29 | (5772) all_403_0_1176 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5772) yields: % 215.83/149.29 | (5773) all_403_0_1176 = 0 % 215.83/149.29 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.83/149.29 | (593) all_165_2_96 = e % 215.83/149.29 | % 215.83/149.29 | From (593) and (248) follows: % 215.83/149.29 | (594) mem(e, all_129_1_85) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 215.83/149.29 | (526) all_181_0_100 = 0 % 215.83/149.29 | % 215.83/149.29 | Equations (526) can reduce 258 to: % 215.83/149.29 | (175) $false % 215.83/149.29 | % 215.83/149.29 |-The branch is then unsatisfiable % 215.83/149.29 |-Branch two: % 215.83/149.29 | (5779) all_403_0_1176 = 0 & mem(all_165_2_96, e) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5779) yields: % 215.83/149.29 | (5773) all_403_0_1176 = 0 % 215.83/149.29 | (599) mem(all_165_2_96, e) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.83/149.29 | (538) $false % 215.83/149.29 | % 215.83/149.29 |-The branch is then unsatisfiable % 215.83/149.29 |-Branch two: % 215.83/149.29 | (5783) all_395_0_1175 = 0 & mem(all_181_1_101, e) = 0 % 215.83/149.29 | % 215.83/149.29 | Applying alpha-rule on (5783) yields: % 215.83/149.29 | (5768) all_395_0_1175 = 0 % 215.83/149.29 | (603) mem(all_181_1_101, e) = 0 % 215.83/149.29 | % 215.83/149.29 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.83/149.29 | (538) $false % 215.83/149.29 | % 215.83/149.29 |-The branch is then unsatisfiable % 215.83/149.30 |-Branch two: % 215.83/149.30 | (5787) all_324_0_1170 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5787) yields: % 215.83/149.30 | (5739) all_324_0_1170 = 0 % 215.83/149.30 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.83/149.30 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.83/149.30 | % 215.83/149.30 | Instantiating (1911) with all_388_0_1179 yields: % 215.83/149.30 | (5791) (all_388_0_1179 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_388_0_1179 = 0 & mem(all_110_1_81, e) = 0) % 215.83/149.30 | % 215.83/149.30 +-Applying beta-rule and splitting (5725), into two cases. % 215.83/149.30 |-Branch one: % 215.83/149.30 | (5743) all_343_0_1171 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5743) yields: % 215.83/149.30 | (5744) all_343_0_1171 = 0 % 215.83/149.30 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 215.83/149.30 | (519) all_181_1_101 = all_0_6_6 % 215.83/149.30 | % 215.83/149.30 | From (519) and (259) follows: % 215.83/149.30 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 215.83/149.30 | % 215.83/149.30 +-Applying beta-rule and splitting (5737), into two cases. % 215.83/149.30 |-Branch one: % 215.83/149.30 | (5755) all_351_0_1172 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5755) yields: % 215.83/149.30 | (5756) all_351_0_1172 = 0 % 215.83/149.30 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.83/149.30 | (551) all_165_2_96 = all_0_6_6 % 215.83/149.30 | % 215.83/149.30 | From (551) and (248) follows: % 215.83/149.30 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 215.83/149.30 | (526) all_181_0_100 = 0 % 215.83/149.30 | % 215.83/149.30 | Equations (526) can reduce 258 to: % 215.83/149.30 | (175) $false % 215.83/149.30 | % 215.83/149.30 |-The branch is then unsatisfiable % 215.83/149.30 |-Branch two: % 215.83/149.30 | (5762) all_351_0_1172 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5762) yields: % 215.83/149.30 | (5756) all_351_0_1172 = 0 % 215.83/149.30 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.83/149.30 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.83/149.30 | % 215.83/149.30 | Instantiating (583) with all_407_0_1180 yields: % 215.83/149.30 | (5808) (all_407_0_1180 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_1180 = 0 & mem(all_165_2_96, e) = 0) % 215.83/149.30 | % 215.83/149.30 +-Applying beta-rule and splitting (5791), into two cases. % 215.83/149.30 |-Branch one: % 215.83/149.30 | (5809) all_388_0_1179 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5809) yields: % 215.83/149.30 | (5810) all_388_0_1179 = 0 % 215.83/149.30 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.83/149.30 | (1953) all_110_1_81 = e % 215.83/149.30 | % 215.83/149.30 | From (1953) and (210) follows: % 215.83/149.30 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.83/149.30 | % 215.83/149.30 +-Applying beta-rule and splitting (5808), into two cases. % 215.83/149.30 |-Branch one: % 215.83/149.30 | (5814) all_407_0_1180 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5814) yields: % 215.83/149.30 | (5815) all_407_0_1180 = 0 % 215.83/149.30 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.83/149.30 | (593) all_165_2_96 = e % 215.83/149.30 | % 215.83/149.30 | From (593) and (288) follows: % 215.83/149.30 | (1959) mem(e, all_74_1_69) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.83/149.30 | (233) all_110_0_80 = 0 % 215.83/149.30 | % 215.83/149.30 | Equations (233) can reduce 209 to: % 215.83/149.30 | (175) $false % 215.83/149.30 | % 215.83/149.30 |-The branch is then unsatisfiable % 215.83/149.30 |-Branch two: % 215.83/149.30 | (5821) all_407_0_1180 = 0 & mem(all_165_2_96, e) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5821) yields: % 215.83/149.30 | (5815) all_407_0_1180 = 0 % 215.83/149.30 | (599) mem(all_165_2_96, e) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.83/149.30 | (538) $false % 215.83/149.30 | % 215.83/149.30 |-The branch is then unsatisfiable % 215.83/149.30 |-Branch two: % 215.83/149.30 | (5825) all_388_0_1179 = 0 & mem(all_110_1_81, e) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5825) yields: % 215.83/149.30 | (5810) all_388_0_1179 = 0 % 215.83/149.30 | (1968) mem(all_110_1_81, e) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.83/149.30 | (538) $false % 215.83/149.30 | % 215.83/149.30 |-The branch is then unsatisfiable % 215.83/149.30 |-Branch two: % 215.83/149.30 | (5750) all_343_0_1171 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5750) yields: % 215.83/149.30 | (5744) all_343_0_1171 = 0 % 215.83/149.30 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 215.83/149.30 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 215.83/149.30 | % 215.83/149.30 | Instantiating (546) with all_396_0_1181 yields: % 215.83/149.30 | (5833) (all_396_0_1181 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_396_0_1181 = 0 & mem(all_181_1_101, e) = 0) % 215.83/149.30 | % 215.83/149.30 +-Applying beta-rule and splitting (5791), into two cases. % 215.83/149.30 |-Branch one: % 215.83/149.30 | (5809) all_388_0_1179 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5809) yields: % 215.83/149.30 | (5810) all_388_0_1179 = 0 % 215.83/149.30 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.83/149.30 | (1953) all_110_1_81 = e % 215.83/149.30 | % 215.83/149.30 | From (1953) and (210) follows: % 215.83/149.30 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.83/149.30 | % 215.83/149.30 +-Applying beta-rule and splitting (5833), into two cases. % 215.83/149.30 |-Branch one: % 215.83/149.30 | (5839) all_396_0_1181 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5839) yields: % 215.83/149.30 | (5840) all_396_0_1181 = 0 % 215.83/149.30 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 215.83/149.30 | (588) all_181_1_101 = e % 215.83/149.30 | % 215.83/149.30 | From (588) and (267) follows: % 215.83/149.30 | (1959) mem(e, all_74_1_69) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.83/149.30 | (233) all_110_0_80 = 0 % 215.83/149.30 | % 215.83/149.30 | Equations (233) can reduce 209 to: % 215.83/149.30 | (175) $false % 215.83/149.30 | % 215.83/149.30 |-The branch is then unsatisfiable % 215.83/149.30 |-Branch two: % 215.83/149.30 | (5846) all_396_0_1181 = 0 & mem(all_181_1_101, e) = 0 % 215.83/149.30 | % 215.83/149.30 | Applying alpha-rule on (5846) yields: % 215.83/149.30 | (5840) all_396_0_1181 = 0 % 215.83/149.30 | (603) mem(all_181_1_101, e) = 0 % 215.83/149.30 | % 215.83/149.30 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 215.83/149.31 | (538) $false % 215.83/149.31 | % 215.83/149.31 |-The branch is then unsatisfiable % 215.83/149.31 |-Branch two: % 215.83/149.31 | (5825) all_388_0_1179 = 0 & mem(all_110_1_81, e) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5825) yields: % 215.83/149.31 | (5810) all_388_0_1179 = 0 % 215.83/149.31 | (1968) mem(all_110_1_81, e) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.83/149.31 | (538) $false % 215.83/149.31 | % 215.83/149.31 |-The branch is then unsatisfiable % 215.83/149.31 |-Branch two: % 215.83/149.31 | (4553) all_292_0_942 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (4553) yields: % 215.83/149.31 | (4547) all_292_0_942 = 0 % 215.83/149.31 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 215.83/149.31 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 215.83/149.31 | % 215.83/149.31 | Instantiating (608) with all_332_0_1190 yields: % 215.83/149.31 | (5858) (all_332_0_1190 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_1190 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 215.83/149.31 | % 215.83/149.31 +-Applying beta-rule and splitting (5030), into two cases. % 215.83/149.31 |-Branch one: % 215.83/149.31 | (5089) all_300_0_1066 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5089) yields: % 215.83/149.31 | (5090) all_300_0_1066 = 0 % 215.83/149.31 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 215.83/149.31 | (483) all_181_1_101 = all_0_5_5 % 215.83/149.31 | % 215.83/149.31 | From (483) and (259) follows: % 215.83/149.31 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 215.83/149.31 | % 215.83/149.31 +-Applying beta-rule and splitting (5546), into two cases. % 215.83/149.31 |-Branch one: % 215.83/149.31 | (5576) all_308_0_1148 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5576) yields: % 215.83/149.31 | (5577) all_308_0_1148 = 0 % 215.83/149.31 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 215.83/149.31 | (495) all_165_2_96 = all_0_5_5 % 215.83/149.31 | % 215.83/149.31 | From (495) and (248) follows: % 215.83/149.31 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 215.83/149.31 | (526) all_181_0_100 = 0 % 215.83/149.31 | % 215.83/149.31 | Equations (526) can reduce 258 to: % 215.83/149.31 | (175) $false % 215.83/149.31 | % 215.83/149.31 |-The branch is then unsatisfiable % 215.83/149.31 |-Branch two: % 215.83/149.31 | (5583) all_308_0_1148 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5583) yields: % 215.83/149.31 | (5577) all_308_0_1148 = 0 % 215.83/149.31 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 215.83/149.31 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 215.83/149.31 | % 215.83/149.31 | Instantiating (502) with all_351_0_1191 yields: % 215.83/149.31 | (5875) (all_351_0_1191 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_1191 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 215.83/149.31 | % 215.83/149.31 +-Applying beta-rule and splitting (5708), into two cases. % 215.83/149.31 |-Branch one: % 215.83/149.31 | (5738) all_324_0_1170 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5738) yields: % 215.83/149.31 | (5739) all_324_0_1170 = 0 % 215.83/149.31 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 215.83/149.31 | (1884) all_110_1_81 = all_0_6_6 % 215.83/149.31 | % 215.83/149.31 | From (1884) and (210) follows: % 215.83/149.31 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 215.83/149.31 | % 215.83/149.31 +-Applying beta-rule and splitting (5858), into two cases. % 215.83/149.31 |-Branch one: % 215.83/149.31 | (5881) all_332_0_1190 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5881) yields: % 215.83/149.31 | (5882) all_332_0_1190 = 0 % 215.83/149.31 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.83/149.31 | (642) all_135_1_87 = all_0_6_6 % 215.83/149.31 | % 215.83/149.31 | From (642) and (232) follows: % 215.83/149.31 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.83/149.31 | (233) all_110_0_80 = 0 % 215.83/149.31 | % 215.83/149.31 | Equations (233) can reduce 209 to: % 215.83/149.31 | (175) $false % 215.83/149.31 | % 215.83/149.31 |-The branch is then unsatisfiable % 215.83/149.31 |-Branch two: % 215.83/149.31 | (5888) all_332_0_1190 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5888) yields: % 215.83/149.31 | (5882) all_332_0_1190 = 0 % 215.83/149.31 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.83/149.31 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.83/149.31 | % 215.83/149.31 | Instantiating (669) with all_395_0_1194 yields: % 215.83/149.31 | (5892) (all_395_0_1194 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_395_0_1194 = 0 & mem(all_135_1_87, e) = 0) % 215.83/149.31 | % 215.83/149.31 +-Applying beta-rule and splitting (5875), into two cases. % 215.83/149.31 |-Branch one: % 215.83/149.31 | (5893) all_351_0_1191 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5893) yields: % 215.83/149.31 | (5894) all_351_0_1191 = 0 % 215.83/149.31 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.83/149.31 | (551) all_165_2_96 = all_0_6_6 % 215.83/149.31 | % 215.83/149.31 | From (551) and (288) follows: % 215.83/149.31 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 215.83/149.31 | (233) all_110_0_80 = 0 % 215.83/149.31 | % 215.83/149.31 | Equations (233) can reduce 209 to: % 215.83/149.31 | (175) $false % 215.83/149.31 | % 215.83/149.31 |-The branch is then unsatisfiable % 215.83/149.31 |-Branch two: % 215.83/149.31 | (5900) all_351_0_1191 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5900) yields: % 215.83/149.31 | (5894) all_351_0_1191 = 0 % 215.83/149.31 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.83/149.31 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.83/149.31 | % 215.83/149.31 | Instantiating (583) with all_403_0_1195 yields: % 215.83/149.31 | (5904) (all_403_0_1195 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_1195 = 0 & mem(all_165_2_96, e) = 0) % 215.83/149.31 | % 215.83/149.31 +-Applying beta-rule and splitting (5892), into two cases. % 215.83/149.31 |-Branch one: % 215.83/149.31 | (5905) all_395_0_1194 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5905) yields: % 215.83/149.31 | (5906) all_395_0_1194 = 0 % 215.83/149.31 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 215.83/149.31 | % 215.83/149.31 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 215.83/149.31 | (711) all_135_1_87 = e % 215.83/149.31 | % 215.83/149.31 | From (711) and (231) follows: % 215.83/149.31 | (712) mem(e, all_99_1_77) = all_135_0_86 % 215.83/149.31 | % 215.83/149.31 +-Applying beta-rule and splitting (5904), into two cases. % 215.83/149.31 |-Branch one: % 215.83/149.31 | (5910) all_403_0_1195 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.31 | % 215.83/149.31 | Applying alpha-rule on (5910) yields: % 215.83/149.32 | (5911) all_403_0_1195 = 0 % 215.83/149.32 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.83/149.32 | (593) all_165_2_96 = e % 215.83/149.32 | % 215.83/149.32 | From (593) and (268) follows: % 215.83/149.32 | (717) mem(e, all_99_1_77) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 215.83/149.32 | (261) all_135_0_86 = 0 % 215.83/149.32 | % 215.83/149.32 | Equations (261) can reduce 230 to: % 215.83/149.32 | (175) $false % 215.83/149.32 | % 215.83/149.32 |-The branch is then unsatisfiable % 215.83/149.32 |-Branch two: % 215.83/149.32 | (5917) all_403_0_1195 = 0 & mem(all_165_2_96, e) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5917) yields: % 215.83/149.32 | (5911) all_403_0_1195 = 0 % 215.83/149.32 | (599) mem(all_165_2_96, e) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.83/149.32 | (538) $false % 215.83/149.32 | % 215.83/149.32 |-The branch is then unsatisfiable % 215.83/149.32 |-Branch two: % 215.83/149.32 | (5921) all_395_0_1194 = 0 & mem(all_135_1_87, e) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5921) yields: % 215.83/149.32 | (5906) all_395_0_1194 = 0 % 215.83/149.32 | (726) mem(all_135_1_87, e) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 215.83/149.32 | (538) $false % 215.83/149.32 | % 215.83/149.32 |-The branch is then unsatisfiable % 215.83/149.32 |-Branch two: % 215.83/149.32 | (5787) all_324_0_1170 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5787) yields: % 215.83/149.32 | (5739) all_324_0_1170 = 0 % 215.83/149.32 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 215.83/149.32 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 215.83/149.32 | % 215.83/149.32 | Instantiating (1911) with all_388_0_1198 yields: % 215.83/149.32 | (5929) (all_388_0_1198 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_388_0_1198 = 0 & mem(all_110_1_81, e) = 0) % 215.83/149.32 | % 215.83/149.32 +-Applying beta-rule and splitting (5858), into two cases. % 215.83/149.32 |-Branch one: % 215.83/149.32 | (5881) all_332_0_1190 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5881) yields: % 215.83/149.32 | (5882) all_332_0_1190 = 0 % 215.83/149.32 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 215.83/149.32 | (642) all_135_1_87 = all_0_6_6 % 215.83/149.32 | % 215.83/149.32 | From (642) and (231) follows: % 215.83/149.32 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 215.83/149.32 | % 215.83/149.32 +-Applying beta-rule and splitting (5875), into two cases. % 215.83/149.32 |-Branch one: % 215.83/149.32 | (5893) all_351_0_1191 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5893) yields: % 215.83/149.32 | (5894) all_351_0_1191 = 0 % 215.83/149.32 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 215.83/149.32 | (551) all_165_2_96 = all_0_6_6 % 215.83/149.32 | % 215.83/149.32 | From (551) and (268) follows: % 215.83/149.32 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 215.83/149.32 | (261) all_135_0_86 = 0 % 215.83/149.32 | % 215.83/149.32 | Equations (261) can reduce 230 to: % 215.83/149.32 | (175) $false % 215.83/149.32 | % 215.83/149.32 |-The branch is then unsatisfiable % 215.83/149.32 |-Branch two: % 215.83/149.32 | (5900) all_351_0_1191 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5900) yields: % 215.83/149.32 | (5894) all_351_0_1191 = 0 % 215.83/149.32 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 215.83/149.32 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 215.83/149.32 | % 215.83/149.32 | Instantiating (583) with all_407_0_1199 yields: % 215.83/149.32 | (5946) (all_407_0_1199 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_1199 = 0 & mem(all_165_2_96, e) = 0) % 215.83/149.32 | % 215.83/149.32 +-Applying beta-rule and splitting (5929), into two cases. % 215.83/149.32 |-Branch one: % 215.83/149.32 | (5947) all_388_0_1198 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5947) yields: % 215.83/149.32 | (5948) all_388_0_1198 = 0 % 215.83/149.32 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 215.83/149.32 | (1953) all_110_1_81 = e % 215.83/149.32 | % 215.83/149.32 | From (1953) and (210) follows: % 215.83/149.32 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 215.83/149.32 | % 215.83/149.32 +-Applying beta-rule and splitting (5946), into two cases. % 215.83/149.32 |-Branch one: % 215.83/149.32 | (5952) all_407_0_1199 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5952) yields: % 215.83/149.32 | (5953) all_407_0_1199 = 0 % 215.83/149.32 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 215.83/149.32 | (593) all_165_2_96 = e % 215.83/149.32 | % 215.83/149.32 | From (593) and (288) follows: % 215.83/149.32 | (1959) mem(e, all_74_1_69) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 215.83/149.32 | (233) all_110_0_80 = 0 % 215.83/149.32 | % 215.83/149.32 | Equations (233) can reduce 209 to: % 215.83/149.32 | (175) $false % 215.83/149.32 | % 215.83/149.32 |-The branch is then unsatisfiable % 215.83/149.32 |-Branch two: % 215.83/149.32 | (5959) all_407_0_1199 = 0 & mem(all_165_2_96, e) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5959) yields: % 215.83/149.32 | (5953) all_407_0_1199 = 0 % 215.83/149.32 | (599) mem(all_165_2_96, e) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 215.83/149.32 | (538) $false % 215.83/149.32 | % 215.83/149.32 |-The branch is then unsatisfiable % 215.83/149.32 |-Branch two: % 215.83/149.32 | (5963) all_388_0_1198 = 0 & mem(all_110_1_81, e) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5963) yields: % 215.83/149.32 | (5948) all_388_0_1198 = 0 % 215.83/149.32 | (1968) mem(all_110_1_81, e) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 215.83/149.32 | (538) $false % 215.83/149.32 | % 215.83/149.32 |-The branch is then unsatisfiable % 215.83/149.32 |-Branch two: % 215.83/149.32 | (5888) all_332_0_1190 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.32 | % 215.83/149.32 | Applying alpha-rule on (5888) yields: % 215.83/149.32 | (5882) all_332_0_1190 = 0 % 215.83/149.32 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 215.83/149.32 | % 215.83/149.32 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 215.83/149.32 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 215.83/149.32 | % 215.83/149.32 | Instantiating (669) with all_396_0_1200 yields: % 216.18/149.32 | (5971) (all_396_0_1200 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_396_0_1200 = 0 & mem(all_135_1_87, e) = 0) % 216.18/149.32 | % 216.18/149.32 +-Applying beta-rule and splitting (5929), into two cases. % 216.18/149.32 |-Branch one: % 216.18/149.32 | (5947) all_388_0_1198 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 216.18/149.32 | % 216.18/149.33 | Applying alpha-rule on (5947) yields: % 216.18/149.33 | (5948) all_388_0_1198 = 0 % 216.18/149.33 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 216.18/149.33 | (1953) all_110_1_81 = e % 216.18/149.33 | % 216.18/149.33 | From (1953) and (210) follows: % 216.18/149.33 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 216.18/149.33 | % 216.18/149.33 +-Applying beta-rule and splitting (5971), into two cases. % 216.18/149.33 |-Branch one: % 216.18/149.33 | (5977) all_396_0_1200 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (5977) yields: % 216.18/149.33 | (5978) all_396_0_1200 = 0 % 216.18/149.33 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 216.18/149.33 | (711) all_135_1_87 = e % 216.18/149.33 | % 216.18/149.33 | From (711) and (232) follows: % 216.18/149.33 | (1959) mem(e, all_74_1_69) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 216.18/149.33 | (233) all_110_0_80 = 0 % 216.18/149.33 | % 216.18/149.33 | Equations (233) can reduce 209 to: % 216.18/149.33 | (175) $false % 216.18/149.33 | % 216.18/149.33 |-The branch is then unsatisfiable % 216.18/149.33 |-Branch two: % 216.18/149.33 | (5984) all_396_0_1200 = 0 & mem(all_135_1_87, e) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (5984) yields: % 216.18/149.33 | (5978) all_396_0_1200 = 0 % 216.18/149.33 | (726) mem(all_135_1_87, e) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 216.18/149.33 | (538) $false % 216.18/149.33 | % 216.18/149.33 |-The branch is then unsatisfiable % 216.18/149.33 |-Branch two: % 216.18/149.33 | (5963) all_388_0_1198 = 0 & mem(all_110_1_81, e) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (5963) yields: % 216.18/149.33 | (5948) all_388_0_1198 = 0 % 216.18/149.33 | (1968) mem(all_110_1_81, e) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 216.18/149.33 | (538) $false % 216.18/149.33 | % 216.18/149.33 |-The branch is then unsatisfiable % 216.18/149.33 |-Branch two: % 216.18/149.33 | (5096) all_300_0_1066 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (5096) yields: % 216.18/149.33 | (5090) all_300_0_1066 = 0 % 216.18/149.33 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 216.18/149.33 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 216.18/149.33 | % 216.18/149.33 | Instantiating (490) with all_340_0_1209 yields: % 216.18/149.33 | (5996) (all_340_0_1209 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_340_0_1209 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 216.18/149.33 | % 216.18/149.33 +-Applying beta-rule and splitting (5708), into two cases. % 216.18/149.33 |-Branch one: % 216.18/149.33 | (5738) all_324_0_1170 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (5738) yields: % 216.18/149.33 | (5739) all_324_0_1170 = 0 % 216.18/149.33 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 216.18/149.33 | (1884) all_110_1_81 = all_0_6_6 % 216.18/149.33 | % 216.18/149.33 | From (1884) and (210) follows: % 216.18/149.33 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 216.18/149.33 | % 216.18/149.33 +-Applying beta-rule and splitting (5858), into two cases. % 216.18/149.33 |-Branch one: % 216.18/149.33 | (5881) all_332_0_1190 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (5881) yields: % 216.18/149.33 | (5882) all_332_0_1190 = 0 % 216.18/149.33 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 216.18/149.33 | (642) all_135_1_87 = all_0_6_6 % 216.18/149.33 | % 216.18/149.33 | From (642) and (232) follows: % 216.18/149.33 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 216.18/149.33 | (233) all_110_0_80 = 0 % 216.18/149.33 | % 216.18/149.33 | Equations (233) can reduce 209 to: % 216.18/149.33 | (175) $false % 216.18/149.33 | % 216.18/149.33 |-The branch is then unsatisfiable % 216.18/149.33 |-Branch two: % 216.18/149.33 | (5888) all_332_0_1190 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (5888) yields: % 216.18/149.33 | (5882) all_332_0_1190 = 0 % 216.18/149.33 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 216.18/149.33 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 216.18/149.33 | % 216.18/149.33 | Instantiating (669) with all_415_0_1218 yields: % 216.18/149.33 | (6013) (all_415_0_1218 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_415_0_1218 = 0 & mem(all_135_1_87, e) = 0) % 216.18/149.33 | % 216.18/149.33 +-Applying beta-rule and splitting (5996), into two cases. % 216.18/149.33 |-Branch one: % 216.18/149.33 | (6014) all_340_0_1209 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (6014) yields: % 216.18/149.33 | (6015) all_340_0_1209 = 0 % 216.18/149.33 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 216.18/149.33 | (519) all_181_1_101 = all_0_6_6 % 216.18/149.33 | % 216.18/149.33 | From (519) and (267) follows: % 216.18/149.33 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 216.18/149.33 | (233) all_110_0_80 = 0 % 216.18/149.33 | % 216.18/149.33 | Equations (233) can reduce 209 to: % 216.18/149.33 | (175) $false % 216.18/149.33 | % 216.18/149.33 |-The branch is then unsatisfiable % 216.18/149.33 |-Branch two: % 216.18/149.33 | (6021) all_340_0_1209 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (6021) yields: % 216.18/149.33 | (6015) all_340_0_1209 = 0 % 216.18/149.33 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 216.18/149.33 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 216.18/149.33 | % 216.18/149.33 | Instantiating (546) with all_423_0_1219 yields: % 216.18/149.33 | (6025) (all_423_0_1219 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_423_0_1219 = 0 & mem(all_181_1_101, e) = 0) % 216.18/149.33 | % 216.18/149.33 +-Applying beta-rule and splitting (6013), into two cases. % 216.18/149.33 |-Branch one: % 216.18/149.33 | (6026) all_415_0_1218 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (6026) yields: % 216.18/149.33 | (6027) all_415_0_1218 = 0 % 216.18/149.33 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 216.18/149.33 | (711) all_135_1_87 = e % 216.18/149.33 | % 216.18/149.33 | From (711) and (231) follows: % 216.18/149.33 | (712) mem(e, all_99_1_77) = all_135_0_86 % 216.18/149.33 | % 216.18/149.33 +-Applying beta-rule and splitting (6025), into two cases. % 216.18/149.33 |-Branch one: % 216.18/149.33 | (6031) all_423_0_1219 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (6031) yields: % 216.18/149.33 | (6032) all_423_0_1219 = 0 % 216.18/149.33 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 216.18/149.33 | (588) all_181_1_101 = e % 216.18/149.33 | % 216.18/149.33 | From (588) and (260) follows: % 216.18/149.33 | (717) mem(e, all_99_1_77) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 216.18/149.33 | (261) all_135_0_86 = 0 % 216.18/149.33 | % 216.18/149.33 | Equations (261) can reduce 230 to: % 216.18/149.33 | (175) $false % 216.18/149.33 | % 216.18/149.33 |-The branch is then unsatisfiable % 216.18/149.33 |-Branch two: % 216.18/149.33 | (6038) all_423_0_1219 = 0 & mem(all_181_1_101, e) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (6038) yields: % 216.18/149.33 | (6032) all_423_0_1219 = 0 % 216.18/149.33 | (603) mem(all_181_1_101, e) = 0 % 216.18/149.33 | % 216.18/149.33 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 216.18/149.33 | (538) $false % 216.18/149.33 | % 216.18/149.33 |-The branch is then unsatisfiable % 216.18/149.33 |-Branch two: % 216.18/149.33 | (6042) all_415_0_1218 = 0 & mem(all_135_1_87, e) = 0 % 216.18/149.33 | % 216.18/149.33 | Applying alpha-rule on (6042) yields: % 216.18/149.34 | (6027) all_415_0_1218 = 0 % 216.18/149.34 | (726) mem(all_135_1_87, e) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 216.18/149.34 | (538) $false % 216.18/149.34 | % 216.18/149.34 |-The branch is then unsatisfiable % 216.18/149.34 |-Branch two: % 216.18/149.34 | (5787) all_324_0_1170 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (5787) yields: % 216.18/149.34 | (5739) all_324_0_1170 = 0 % 216.18/149.34 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 216.18/149.34 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 216.18/149.34 | % 216.18/149.34 | Instantiating (1911) with all_408_0_1224 yields: % 216.18/149.34 | (6050) (all_408_0_1224 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_408_0_1224 = 0 & mem(all_110_1_81, e) = 0) % 216.18/149.34 | % 216.18/149.34 +-Applying beta-rule and splitting (5858), into two cases. % 216.18/149.34 |-Branch one: % 216.18/149.34 | (5881) all_332_0_1190 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (5881) yields: % 216.18/149.34 | (5882) all_332_0_1190 = 0 % 216.18/149.34 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 216.18/149.34 | (642) all_135_1_87 = all_0_6_6 % 216.18/149.34 | % 216.18/149.34 | From (642) and (231) follows: % 216.18/149.34 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 216.18/149.34 | % 216.18/149.34 +-Applying beta-rule and splitting (5996), into two cases. % 216.18/149.34 |-Branch one: % 216.18/149.34 | (6014) all_340_0_1209 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6014) yields: % 216.18/149.34 | (6015) all_340_0_1209 = 0 % 216.18/149.34 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 216.18/149.34 | (519) all_181_1_101 = all_0_6_6 % 216.18/149.34 | % 216.18/149.34 | From (519) and (260) follows: % 216.18/149.34 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 216.18/149.34 | (261) all_135_0_86 = 0 % 216.18/149.34 | % 216.18/149.34 | Equations (261) can reduce 230 to: % 216.18/149.34 | (175) $false % 216.18/149.34 | % 216.18/149.34 |-The branch is then unsatisfiable % 216.18/149.34 |-Branch two: % 216.18/149.34 | (6021) all_340_0_1209 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6021) yields: % 216.18/149.34 | (6015) all_340_0_1209 = 0 % 216.18/149.34 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 216.18/149.34 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 216.18/149.34 | % 216.18/149.34 | Instantiating (546) with all_427_0_1225 yields: % 216.18/149.34 | (6067) (all_427_0_1225 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_427_0_1225 = 0 & mem(all_181_1_101, e) = 0) % 216.18/149.34 | % 216.18/149.34 +-Applying beta-rule and splitting (6050), into two cases. % 216.18/149.34 |-Branch one: % 216.18/149.34 | (6068) all_408_0_1224 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6068) yields: % 216.18/149.34 | (6069) all_408_0_1224 = 0 % 216.18/149.34 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 216.18/149.34 | (1953) all_110_1_81 = e % 216.18/149.34 | % 216.18/149.34 | From (1953) and (210) follows: % 216.18/149.34 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 216.18/149.34 | % 216.18/149.34 +-Applying beta-rule and splitting (6067), into two cases. % 216.18/149.34 |-Branch one: % 216.18/149.34 | (6073) all_427_0_1225 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6073) yields: % 216.18/149.34 | (6074) all_427_0_1225 = 0 % 216.18/149.34 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 216.18/149.34 | (588) all_181_1_101 = e % 216.18/149.34 | % 216.18/149.34 | From (588) and (267) follows: % 216.18/149.34 | (1959) mem(e, all_74_1_69) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 216.18/149.34 | (233) all_110_0_80 = 0 % 216.18/149.34 | % 216.18/149.34 | Equations (233) can reduce 209 to: % 216.18/149.34 | (175) $false % 216.18/149.34 | % 216.18/149.34 |-The branch is then unsatisfiable % 216.18/149.34 |-Branch two: % 216.18/149.34 | (6080) all_427_0_1225 = 0 & mem(all_181_1_101, e) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6080) yields: % 216.18/149.34 | (6074) all_427_0_1225 = 0 % 216.18/149.34 | (603) mem(all_181_1_101, e) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 216.18/149.34 | (538) $false % 216.18/149.34 | % 216.18/149.34 |-The branch is then unsatisfiable % 216.18/149.34 |-Branch two: % 216.18/149.34 | (6084) all_408_0_1224 = 0 & mem(all_110_1_81, e) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6084) yields: % 216.18/149.34 | (6069) all_408_0_1224 = 0 % 216.18/149.34 | (1968) mem(all_110_1_81, e) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 216.18/149.34 | (538) $false % 216.18/149.34 | % 216.18/149.34 |-The branch is then unsatisfiable % 216.18/149.34 |-Branch two: % 216.18/149.34 | (5888) all_332_0_1190 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (5888) yields: % 216.18/149.34 | (5882) all_332_0_1190 = 0 % 216.18/149.34 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 216.18/149.34 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 216.18/149.34 | % 216.18/149.34 | Instantiating (669) with all_416_0_1226 yields: % 216.18/149.34 | (6092) (all_416_0_1226 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_416_0_1226 = 0 & mem(all_135_1_87, e) = 0) % 216.18/149.34 | % 216.18/149.34 +-Applying beta-rule and splitting (6050), into two cases. % 216.18/149.34 |-Branch one: % 216.18/149.34 | (6068) all_408_0_1224 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6068) yields: % 216.18/149.34 | (6069) all_408_0_1224 = 0 % 216.18/149.34 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 216.18/149.34 | (1953) all_110_1_81 = e % 216.18/149.34 | % 216.18/149.34 | From (1953) and (210) follows: % 216.18/149.34 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 216.18/149.34 | % 216.18/149.34 +-Applying beta-rule and splitting (6092), into two cases. % 216.18/149.34 |-Branch one: % 216.18/149.34 | (6098) all_416_0_1226 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6098) yields: % 216.18/149.34 | (6099) all_416_0_1226 = 0 % 216.18/149.34 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 216.18/149.34 | (711) all_135_1_87 = e % 216.18/149.34 | % 216.18/149.34 | From (711) and (232) follows: % 216.18/149.34 | (1959) mem(e, all_74_1_69) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 216.18/149.34 | (233) all_110_0_80 = 0 % 216.18/149.34 | % 216.18/149.34 | Equations (233) can reduce 209 to: % 216.18/149.34 | (175) $false % 216.18/149.34 | % 216.18/149.34 |-The branch is then unsatisfiable % 216.18/149.34 |-Branch two: % 216.18/149.34 | (6105) all_416_0_1226 = 0 & mem(all_135_1_87, e) = 0 % 216.18/149.34 | % 216.18/149.34 | Applying alpha-rule on (6105) yields: % 216.18/149.34 | (6099) all_416_0_1226 = 0 % 216.18/149.34 | (726) mem(all_135_1_87, e) = 0 % 216.18/149.34 | % 216.18/149.34 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 216.18/149.34 | (538) $false % 216.18/149.34 | % 216.18/149.34 |-The branch is then unsatisfiable % 216.18/149.34 |-Branch two: % 216.18/149.34 | (6084) all_408_0_1224 = 0 & mem(all_110_1_81, e) = 0 % 216.18/149.34 | % 216.18/149.35 | Applying alpha-rule on (6084) yields: % 216.18/149.35 | (6069) all_408_0_1224 = 0 % 216.18/149.35 | (1968) mem(all_110_1_81, e) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 216.18/149.35 | (538) $false % 216.18/149.35 | % 216.18/149.35 |-The branch is then unsatisfiable % 216.18/149.35 |-Branch two: % 216.18/149.35 | (6113) all_96_0_74 = 0 & mem(all_85_1_73, all_0_4_4) = 0 % 216.18/149.35 | % 216.18/149.35 | Applying alpha-rule on (6113) yields: % 216.18/149.35 | (283) all_96_0_74 = 0 % 216.18/149.35 | (6115) mem(all_85_1_73, all_0_4_4) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (2) with all_212_0_106, all_165_1_95, all_165_2_96, all_212_1_107 and discharging atoms p(all_165_2_96) = all_165_1_95, mem(all_212_1_107, all_165_1_95) = all_212_0_106, yields: % 216.18/149.35 | (285) all_212_0_106 = 0 | ? [v0] : ( ~ (v0 = 0) & subq(all_212_1_107, all_165_2_96) = v0) % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_212_1_107, all_99_1_77, all_129_1_85 and discharging atoms subq(all_129_1_85, all_99_1_77) = 0, mem(all_212_1_107, all_129_1_85) = 0, yields: % 216.18/149.35 | (286) mem(all_212_1_107, all_99_1_77) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_181_1_101, all_57_1_62, all_74_1_69 and discharging atoms subq(all_74_1_69, all_57_1_62) = 0, mem(all_181_1_101, all_74_1_69) = 0, yields: % 216.18/149.35 | (287) mem(all_181_1_101, all_57_1_62) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_165_2_96, all_74_1_69, all_99_1_77 and discharging atoms subq(all_99_1_77, all_74_1_69) = 0, mem(all_165_2_96, all_99_1_77) = 0, yields: % 216.18/149.35 | (288) mem(all_165_2_96, all_74_1_69) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_135_1_87 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_135_1_87, all_0_0_0) = 0, yields: % 216.18/149.35 | (289) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_1_1) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_4_4) = 0)) % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_85_1_73 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_85_1_73, all_0_4_4) = 0, yields: % 216.18/149.35 | (6121) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_70_0_66) = 0) | (v0 = 0 & mem(all_85_1_73, all_0_5_5) = 0)) % 216.18/149.35 | % 216.18/149.35 | Instantiating (6121) with all_226_0_1227 yields: % 216.18/149.35 | (6122) (all_226_0_1227 = 0 & mem(all_85_1_73, all_70_0_66) = 0) | (all_226_0_1227 = 0 & mem(all_85_1_73, all_0_5_5) = 0) % 216.18/149.35 | % 216.18/149.35 | Instantiating (289) with all_227_0_1228 yields: % 216.18/149.35 | (6123) (all_227_0_1228 = 0 & mem(all_135_1_87, all_0_1_1) = 0) | (all_227_0_1228 = 0 & mem(all_135_1_87, all_0_4_4) = 0) % 216.18/149.35 | % 216.18/149.35 +-Applying beta-rule and splitting (285), into two cases. % 216.18/149.35 |-Branch one: % 216.18/149.35 | (293) all_212_0_106 = 0 % 216.18/149.35 | % 216.18/149.35 | Equations (293) can reduce 279 to: % 216.18/149.35 | (175) $false % 216.18/149.35 | % 216.18/149.35 |-The branch is then unsatisfiable % 216.18/149.35 |-Branch two: % 216.18/149.35 | (279) ~ (all_212_0_106 = 0) % 216.18/149.35 | (296) ? [v0] : ( ~ (v0 = 0) & subq(all_212_1_107, all_165_2_96) = v0) % 216.18/149.35 | % 216.18/149.35 | Instantiating (296) with all_232_0_1229 yields: % 216.18/149.35 | (6128) ~ (all_232_0_1229 = 0) & subq(all_212_1_107, all_165_2_96) = all_232_0_1229 % 216.18/149.35 | % 216.18/149.35 | Applying alpha-rule on (6128) yields: % 216.18/149.35 | (6129) ~ (all_232_0_1229 = 0) % 216.18/149.35 | (6130) subq(all_212_1_107, all_165_2_96) = all_232_0_1229 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (139) with all_232_0_1229, all_165_2_96, all_212_1_107 and discharging atoms subq(all_212_1_107, all_165_2_96) = all_232_0_1229, yields: % 216.18/149.35 | (6131) all_232_0_1229 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_212_1_107) = 0 & mem(v0, all_165_2_96) = v1) % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_212_1_107, all_74_1_69, all_99_1_77 and discharging atoms subq(all_99_1_77, all_74_1_69) = 0, mem(all_212_1_107, all_99_1_77) = 0, yields: % 216.18/149.35 | (301) mem(all_212_1_107, all_74_1_69) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_181_1_101, all_0_0_0, all_57_1_62 and discharging atoms subq(all_57_1_62, all_0_0_0) = 0, mem(all_181_1_101, all_57_1_62) = 0, yields: % 216.18/149.35 | (302) mem(all_181_1_101, all_0_0_0) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_165_2_96, all_57_1_62, all_74_1_69 and discharging atoms subq(all_74_1_69, all_57_1_62) = 0, mem(all_165_2_96, all_74_1_69) = 0, yields: % 216.18/149.35 | (303) mem(all_165_2_96, all_57_1_62) = 0 % 216.18/149.35 | % 216.18/149.35 +-Applying beta-rule and splitting (6131), into two cases. % 216.18/149.35 |-Branch one: % 216.18/149.35 | (6135) all_232_0_1229 = 0 % 216.18/149.35 | % 216.18/149.35 | Equations (6135) can reduce 6129 to: % 216.18/149.35 | (175) $false % 216.18/149.35 | % 216.18/149.35 |-The branch is then unsatisfiable % 216.18/149.35 |-Branch two: % 216.18/149.35 | (6129) ~ (all_232_0_1229 = 0) % 216.18/149.35 | (307) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_212_1_107) = 0 & mem(v0, all_165_2_96) = v1) % 216.18/149.35 | % 216.18/149.35 | Instantiating (307) with all_244_0_1230, all_244_1_1231 yields: % 216.18/149.35 | (6139) ~ (all_244_0_1230 = 0) & mem(all_244_1_1231, all_212_1_107) = 0 & mem(all_244_1_1231, all_165_2_96) = all_244_0_1230 % 216.18/149.35 | % 216.18/149.35 | Applying alpha-rule on (6139) yields: % 216.18/149.35 | (6140) ~ (all_244_0_1230 = 0) % 216.18/149.35 | (6141) mem(all_244_1_1231, all_212_1_107) = 0 % 216.18/149.35 | (6142) mem(all_244_1_1231, all_165_2_96) = all_244_0_1230 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_212_1_107, all_57_1_62, all_74_1_69 and discharging atoms subq(all_74_1_69, all_57_1_62) = 0, mem(all_212_1_107, all_74_1_69) = 0, yields: % 216.18/149.35 | (312) mem(all_212_1_107, all_57_1_62) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_181_1_101 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_181_1_101, all_0_0_0) = 0, yields: % 216.18/149.35 | (313) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_1_1) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_4_4) = 0)) % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_165_2_96, all_0_0_0, all_57_1_62 and discharging atoms subq(all_57_1_62, all_0_0_0) = 0, mem(all_165_2_96, all_57_1_62) = 0, yields: % 216.18/149.35 | (314) mem(all_165_2_96, all_0_0_0) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating (313) with all_252_0_1232 yields: % 216.18/149.35 | (6146) (all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0) | (all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0) % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (125) with all_212_1_107, all_0_0_0, all_57_1_62 and discharging atoms subq(all_57_1_62, all_0_0_0) = 0, mem(all_212_1_107, all_57_1_62) = 0, yields: % 216.18/149.35 | (316) mem(all_212_1_107, all_0_0_0) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_165_2_96 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_165_2_96, all_0_0_0) = 0, yields: % 216.18/149.35 | (317) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_1_1) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_4_4) = 0)) % 216.18/149.35 | % 216.18/149.35 | Instantiating (317) with all_259_0_1233 yields: % 216.18/149.35 | (6149) (all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0) | (all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0) % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (120) with all_0_0_0, all_0_1_1, all_0_4_4, all_212_1_107 and discharging atoms u(all_0_4_4, all_0_1_1) = all_0_0_0, mem(all_212_1_107, all_0_0_0) = 0, yields: % 216.18/149.35 | (319) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_1_1) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_4_4) = 0)) % 216.18/149.35 | % 216.18/149.35 | Instantiating (319) with all_265_0_1234 yields: % 216.18/149.35 | (6151) (all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0) | (all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0) % 216.18/149.35 | % 216.18/149.35 +-Applying beta-rule and splitting (243), into two cases. % 216.18/149.35 |-Branch one: % 216.18/149.35 | (321) all_162_0_92 = 0 & mem(all_110_1_81, all_0_1_1) = 0 % 216.18/149.35 | % 216.18/149.35 | Applying alpha-rule on (321) yields: % 216.18/149.35 | (322) all_162_0_92 = 0 % 216.18/149.35 | (323) mem(all_110_1_81, all_0_1_1) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_110_1_81, all_0_1_1) = 0, yields: % 216.18/149.35 | (324) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_72_0_67) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_2_2) = 0)) % 216.18/149.35 | % 216.18/149.35 | Instantiating (324) with all_273_0_1235 yields: % 216.18/149.35 | (6156) (all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0) | (all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0) % 216.18/149.35 | % 216.18/149.35 +-Applying beta-rule and splitting (6122), into two cases. % 216.18/149.35 |-Branch one: % 216.18/149.35 | (6157) all_226_0_1227 = 0 & mem(all_85_1_73, all_70_0_66) = 0 % 216.18/149.35 | % 216.18/149.35 | Applying alpha-rule on (6157) yields: % 216.18/149.35 | (6158) all_226_0_1227 = 0 % 216.18/149.35 | (6159) mem(all_85_1_73, all_70_0_66) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_85_1_73 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_85_1_73, all_70_0_66) = 0, yields: % 216.18/149.35 | (6160) all_85_1_73 = all_0_5_5 % 216.18/149.35 | % 216.18/149.35 | From (6160) and (184) follows: % 216.18/149.35 | (6161) mem(all_0_5_5, all_57_1_62) = all_85_0_72 % 216.18/149.35 | % 216.18/149.35 +-Applying beta-rule and splitting (6123), into two cases. % 216.18/149.35 |-Branch one: % 216.18/149.35 | (6162) all_227_0_1228 = 0 & mem(all_135_1_87, all_0_1_1) = 0 % 216.18/149.35 | % 216.18/149.35 | Applying alpha-rule on (6162) yields: % 216.18/149.35 | (6163) all_227_0_1228 = 0 % 216.18/149.35 | (333) mem(all_135_1_87, all_0_1_1) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_135_1_87, all_0_1_1) = 0, yields: % 216.18/149.35 | (334) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_2_2) = 0)) % 216.18/149.35 | % 216.18/149.35 | Instantiating (334) with all_292_0_1236 yields: % 216.18/149.35 | (6166) (all_292_0_1236 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (all_292_0_1236 = 0 & mem(all_135_1_87, all_0_2_2) = 0) % 216.18/149.35 | % 216.18/149.35 +-Applying beta-rule and splitting (6146), into two cases. % 216.18/149.35 |-Branch one: % 216.18/149.35 | (6167) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 216.18/149.35 | % 216.18/149.35 | Applying alpha-rule on (6167) yields: % 216.18/149.35 | (6168) all_252_0_1232 = 0 % 216.18/149.35 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 216.18/149.35 | % 216.18/149.35 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 216.18/149.35 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 216.18/149.36 | % 216.18/149.36 | Instantiating (370) with all_300_0_1237 yields: % 216.18/149.36 | (6171) (all_300_0_1237 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_1237 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 216.18/149.36 | % 216.18/149.36 +-Applying beta-rule and splitting (6156), into two cases. % 216.18/149.36 |-Branch one: % 216.18/149.36 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6172) yields: % 216.18/149.36 | (6173) all_273_0_1235 = 0 % 216.18/149.36 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.18/149.36 | (339) all_110_1_81 = all_0_2_2 % 216.18/149.36 | % 216.18/149.36 | From (339) and (210) follows: % 216.18/149.36 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.18/149.36 | % 216.18/149.36 +-Applying beta-rule and splitting (6166), into two cases. % 216.18/149.36 |-Branch one: % 216.18/149.36 | (6177) all_292_0_1236 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6177) yields: % 216.18/149.36 | (6178) all_292_0_1236 = 0 % 216.18/149.36 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.18/149.36 | (351) all_135_1_87 = all_0_2_2 % 216.18/149.36 | % 216.18/149.36 | From (351) and (232) follows: % 216.18/149.36 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.18/149.36 | (233) all_110_0_80 = 0 % 216.18/149.36 | % 216.18/149.36 | Equations (233) can reduce 209 to: % 216.18/149.36 | (175) $false % 216.18/149.36 | % 216.18/149.36 |-The branch is then unsatisfiable % 216.18/149.36 |-Branch two: % 216.18/149.36 | (6184) all_292_0_1236 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6184) yields: % 216.18/149.36 | (6178) all_292_0_1236 = 0 % 216.18/149.36 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.18/149.36 | (358) all_135_1_87 = all_0_3_3 % 216.18/149.36 | % 216.18/149.36 | From (358) and (231) follows: % 216.18/149.36 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 216.18/149.36 | % 216.18/149.36 +-Applying beta-rule and splitting (6171), into two cases. % 216.18/149.36 |-Branch one: % 216.18/149.36 | (6189) all_300_0_1237 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6189) yields: % 216.18/149.36 | (6190) all_300_0_1237 = 0 % 216.18/149.36 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 216.18/149.36 | (387) all_181_1_101 = all_0_2_2 % 216.18/149.36 | % 216.18/149.36 | From (387) and (267) follows: % 216.18/149.36 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.18/149.36 | (233) all_110_0_80 = 0 % 216.18/149.36 | % 216.18/149.36 | Equations (233) can reduce 209 to: % 216.18/149.36 | (175) $false % 216.18/149.36 | % 216.18/149.36 |-The branch is then unsatisfiable % 216.18/149.36 |-Branch two: % 216.18/149.36 | (6196) all_300_0_1237 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6196) yields: % 216.18/149.36 | (6190) all_300_0_1237 = 0 % 216.18/149.36 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 216.18/149.36 | (394) all_181_1_101 = all_0_3_3 % 216.18/149.36 | % 216.18/149.36 | From (394) and (260) follows: % 216.18/149.36 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 216.18/149.36 | (261) all_135_0_86 = 0 % 216.18/149.36 | % 216.18/149.36 | Equations (261) can reduce 230 to: % 216.18/149.36 | (175) $false % 216.18/149.36 | % 216.18/149.36 |-The branch is then unsatisfiable % 216.18/149.36 |-Branch two: % 216.18/149.36 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6203) yields: % 216.18/149.36 | (6173) all_273_0_1235 = 0 % 216.18/149.36 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 216.18/149.36 | (346) all_110_1_81 = all_0_3_3 % 216.18/149.36 | % 216.18/149.36 | From (346) and (210) follows: % 216.18/149.36 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 216.18/149.36 | % 216.18/149.36 +-Applying beta-rule and splitting (6166), into two cases. % 216.18/149.36 |-Branch one: % 216.18/149.36 | (6177) all_292_0_1236 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6177) yields: % 216.18/149.36 | (6178) all_292_0_1236 = 0 % 216.18/149.36 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.18/149.36 | (351) all_135_1_87 = all_0_2_2 % 216.18/149.36 | % 216.18/149.36 | From (351) and (231) follows: % 216.18/149.36 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 216.18/149.36 | % 216.18/149.36 +-Applying beta-rule and splitting (6171), into two cases. % 216.18/149.36 |-Branch one: % 216.18/149.36 | (6189) all_300_0_1237 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6189) yields: % 216.18/149.36 | (6190) all_300_0_1237 = 0 % 216.18/149.36 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 216.18/149.36 | (387) all_181_1_101 = all_0_2_2 % 216.18/149.36 | % 216.18/149.36 | From (387) and (260) follows: % 216.18/149.36 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 216.18/149.36 | (261) all_135_0_86 = 0 % 216.18/149.36 | % 216.18/149.36 | Equations (261) can reduce 230 to: % 216.18/149.36 | (175) $false % 216.18/149.36 | % 216.18/149.36 |-The branch is then unsatisfiable % 216.18/149.36 |-Branch two: % 216.18/149.36 | (6196) all_300_0_1237 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6196) yields: % 216.18/149.36 | (6190) all_300_0_1237 = 0 % 216.18/149.36 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 216.18/149.36 | (394) all_181_1_101 = all_0_3_3 % 216.18/149.36 | % 216.18/149.36 | From (394) and (267) follows: % 216.18/149.36 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.18/149.36 | (233) all_110_0_80 = 0 % 216.18/149.36 | % 216.18/149.36 | Equations (233) can reduce 209 to: % 216.18/149.36 | (175) $false % 216.18/149.36 | % 216.18/149.36 |-The branch is then unsatisfiable % 216.18/149.36 |-Branch two: % 216.18/149.36 | (6184) all_292_0_1236 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6184) yields: % 216.18/149.36 | (6178) all_292_0_1236 = 0 % 216.18/149.36 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.18/149.36 | (358) all_135_1_87 = all_0_3_3 % 216.18/149.36 | % 216.18/149.36 | From (358) and (232) follows: % 216.18/149.36 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.18/149.36 | (233) all_110_0_80 = 0 % 216.18/149.36 | % 216.18/149.36 | Equations (233) can reduce 209 to: % 216.18/149.36 | (175) $false % 216.18/149.36 | % 216.18/149.36 |-The branch is then unsatisfiable % 216.18/149.36 |-Branch two: % 216.18/149.36 | (6234) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6234) yields: % 216.18/149.36 | (6168) all_252_0_1232 = 0 % 216.18/149.36 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 216.18/149.36 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 216.18/149.36 | % 216.18/149.36 | Instantiating (401) with all_300_0_1240 yields: % 216.18/149.36 | (6238) (all_300_0_1240 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_1240 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 216.18/149.36 | % 216.18/149.36 +-Applying beta-rule and splitting (6149), into two cases. % 216.18/149.36 |-Branch one: % 216.18/149.36 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 216.18/149.36 | % 216.18/149.36 | Applying alpha-rule on (6239) yields: % 216.18/149.36 | (6240) all_259_0_1233 = 0 % 216.18/149.36 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 216.18/149.36 | % 216.18/149.36 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 216.18/149.36 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 216.18/149.36 | % 216.18/149.36 | Instantiating (406) with all_308_0_1241 yields: % 216.18/149.36 | (6243) (all_308_0_1241 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_1241 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 216.18/149.36 | % 216.18/149.36 +-Applying beta-rule and splitting (6156), into two cases. % 216.18/149.36 |-Branch one: % 216.18/149.36 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.18/149.36 | % 216.18/149.37 | Applying alpha-rule on (6172) yields: % 216.18/149.37 | (6173) all_273_0_1235 = 0 % 216.18/149.37 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.18/149.37 | (339) all_110_1_81 = all_0_2_2 % 216.18/149.37 | % 216.18/149.37 | From (339) and (210) follows: % 216.18/149.37 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.18/149.37 | % 216.18/149.37 +-Applying beta-rule and splitting (6166), into two cases. % 216.18/149.37 |-Branch one: % 216.18/149.37 | (6177) all_292_0_1236 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6177) yields: % 216.18/149.37 | (6178) all_292_0_1236 = 0 % 216.18/149.37 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.18/149.37 | (351) all_135_1_87 = all_0_2_2 % 216.18/149.37 | % 216.18/149.37 | From (351) and (232) follows: % 216.18/149.37 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.18/149.37 | (233) all_110_0_80 = 0 % 216.18/149.37 | % 216.18/149.37 | Equations (233) can reduce 209 to: % 216.18/149.37 | (175) $false % 216.18/149.37 | % 216.18/149.37 |-The branch is then unsatisfiable % 216.18/149.37 |-Branch two: % 216.18/149.37 | (6184) all_292_0_1236 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6184) yields: % 216.18/149.37 | (6178) all_292_0_1236 = 0 % 216.18/149.37 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.18/149.37 | (358) all_135_1_87 = all_0_3_3 % 216.18/149.37 | % 216.18/149.37 | From (358) and (231) follows: % 216.18/149.37 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 216.18/149.37 | % 216.18/149.37 +-Applying beta-rule and splitting (6243), into two cases. % 216.18/149.37 |-Branch one: % 216.18/149.37 | (6261) all_308_0_1241 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6261) yields: % 216.18/149.37 | (6262) all_308_0_1241 = 0 % 216.18/149.37 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 216.18/149.37 | (423) all_165_2_96 = all_0_2_2 % 216.18/149.37 | % 216.18/149.37 | From (423) and (288) follows: % 216.18/149.37 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.18/149.37 | (233) all_110_0_80 = 0 % 216.18/149.37 | % 216.18/149.37 | Equations (233) can reduce 209 to: % 216.18/149.37 | (175) $false % 216.18/149.37 | % 216.18/149.37 |-The branch is then unsatisfiable % 216.18/149.37 |-Branch two: % 216.18/149.37 | (6268) all_308_0_1241 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6268) yields: % 216.18/149.37 | (6262) all_308_0_1241 = 0 % 216.18/149.37 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 216.18/149.37 | (430) all_165_2_96 = all_0_3_3 % 216.18/149.37 | % 216.18/149.37 | From (430) and (268) follows: % 216.18/149.37 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 216.18/149.37 | (261) all_135_0_86 = 0 % 216.18/149.37 | % 216.18/149.37 | Equations (261) can reduce 230 to: % 216.18/149.37 | (175) $false % 216.18/149.37 | % 216.18/149.37 |-The branch is then unsatisfiable % 216.18/149.37 |-Branch two: % 216.18/149.37 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6203) yields: % 216.18/149.37 | (6173) all_273_0_1235 = 0 % 216.18/149.37 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 216.18/149.37 | (346) all_110_1_81 = all_0_3_3 % 216.18/149.37 | % 216.18/149.37 | From (346) and (210) follows: % 216.18/149.37 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 216.18/149.37 | % 216.18/149.37 +-Applying beta-rule and splitting (6166), into two cases. % 216.18/149.37 |-Branch one: % 216.18/149.37 | (6177) all_292_0_1236 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6177) yields: % 216.18/149.37 | (6178) all_292_0_1236 = 0 % 216.18/149.37 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.18/149.37 | (351) all_135_1_87 = all_0_2_2 % 216.18/149.37 | % 216.18/149.37 | From (351) and (231) follows: % 216.18/149.37 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 216.18/149.37 | % 216.18/149.37 +-Applying beta-rule and splitting (6243), into two cases. % 216.18/149.37 |-Branch one: % 216.18/149.37 | (6261) all_308_0_1241 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6261) yields: % 216.18/149.37 | (6262) all_308_0_1241 = 0 % 216.18/149.37 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 216.18/149.37 | (423) all_165_2_96 = all_0_2_2 % 216.18/149.37 | % 216.18/149.37 | From (423) and (268) follows: % 216.18/149.37 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 216.18/149.37 | (261) all_135_0_86 = 0 % 216.18/149.37 | % 216.18/149.37 | Equations (261) can reduce 230 to: % 216.18/149.37 | (175) $false % 216.18/149.37 | % 216.18/149.37 |-The branch is then unsatisfiable % 216.18/149.37 |-Branch two: % 216.18/149.37 | (6268) all_308_0_1241 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6268) yields: % 216.18/149.37 | (6262) all_308_0_1241 = 0 % 216.18/149.37 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 216.18/149.37 | (430) all_165_2_96 = all_0_3_3 % 216.18/149.37 | % 216.18/149.37 | From (430) and (288) follows: % 216.18/149.37 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.18/149.37 | (233) all_110_0_80 = 0 % 216.18/149.37 | % 216.18/149.37 | Equations (233) can reduce 209 to: % 216.18/149.37 | (175) $false % 216.18/149.37 | % 216.18/149.37 |-The branch is then unsatisfiable % 216.18/149.37 |-Branch two: % 216.18/149.37 | (6184) all_292_0_1236 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6184) yields: % 216.18/149.37 | (6178) all_292_0_1236 = 0 % 216.18/149.37 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.18/149.37 | (358) all_135_1_87 = all_0_3_3 % 216.18/149.37 | % 216.18/149.37 | From (358) and (232) follows: % 216.18/149.37 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.18/149.37 | (233) all_110_0_80 = 0 % 216.18/149.37 | % 216.18/149.37 | Equations (233) can reduce 209 to: % 216.18/149.37 | (175) $false % 216.18/149.37 | % 216.18/149.37 |-The branch is then unsatisfiable % 216.18/149.37 |-Branch two: % 216.18/149.37 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6306) yields: % 216.18/149.37 | (6240) all_259_0_1233 = 0 % 216.18/149.37 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 216.18/149.37 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 216.18/149.37 | % 216.18/149.37 | Instantiating (437) with all_308_0_1245 yields: % 216.18/149.37 | (6310) (all_308_0_1245 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_1245 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 216.18/149.37 | % 216.18/149.37 +-Applying beta-rule and splitting (6151), into two cases. % 216.18/149.37 |-Branch one: % 216.18/149.37 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6311) yields: % 216.18/149.37 | (6312) all_265_0_1234 = 0 % 216.18/149.37 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 216.18/149.37 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 216.18/149.37 | % 216.18/149.37 | Instantiating (442) with all_316_0_1246 yields: % 216.18/149.37 | (6315) (all_316_0_1246 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_1246 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 216.18/149.37 | % 216.18/149.37 +-Applying beta-rule and splitting (6156), into two cases. % 216.18/149.37 |-Branch one: % 216.18/149.37 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Applying alpha-rule on (6172) yields: % 216.18/149.37 | (6173) all_273_0_1235 = 0 % 216.18/149.37 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.18/149.37 | % 216.18/149.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.18/149.37 | (339) all_110_1_81 = all_0_2_2 % 216.18/149.37 | % 216.18/149.37 | From (339) and (210) follows: % 216.18/149.37 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.18/149.37 | % 216.18/149.37 +-Applying beta-rule and splitting (6166), into two cases. % 216.18/149.37 |-Branch one: % 216.18/149.37 | (6177) all_292_0_1236 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6177) yields: % 216.18/149.38 | (6178) all_292_0_1236 = 0 % 216.18/149.38 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.18/149.38 | (351) all_135_1_87 = all_0_2_2 % 216.18/149.38 | % 216.18/149.38 | From (351) and (232) follows: % 216.18/149.38 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.18/149.38 | (233) all_110_0_80 = 0 % 216.18/149.38 | % 216.18/149.38 | Equations (233) can reduce 209 to: % 216.18/149.38 | (175) $false % 216.18/149.38 | % 216.18/149.38 |-The branch is then unsatisfiable % 216.18/149.38 |-Branch two: % 216.18/149.38 | (6184) all_292_0_1236 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6184) yields: % 216.18/149.38 | (6178) all_292_0_1236 = 0 % 216.18/149.38 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.18/149.38 | (358) all_135_1_87 = all_0_3_3 % 216.18/149.38 | % 216.18/149.38 | From (358) and (231) follows: % 216.18/149.38 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 216.18/149.38 | % 216.18/149.38 +-Applying beta-rule and splitting (6315), into two cases. % 216.18/149.38 |-Branch one: % 216.18/149.38 | (6333) all_316_0_1246 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6333) yields: % 216.18/149.38 | (6334) all_316_0_1246 = 0 % 216.18/149.38 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 216.18/149.38 | (459) all_212_1_107 = all_0_2_2 % 216.18/149.38 | % 216.18/149.38 | From (459) and (301) follows: % 216.18/149.38 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.18/149.38 | (233) all_110_0_80 = 0 % 216.18/149.38 | % 216.18/149.38 | Equations (233) can reduce 209 to: % 216.18/149.38 | (175) $false % 216.18/149.38 | % 216.18/149.38 |-The branch is then unsatisfiable % 216.18/149.38 |-Branch two: % 216.18/149.38 | (6340) all_316_0_1246 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6340) yields: % 216.18/149.38 | (6334) all_316_0_1246 = 0 % 216.18/149.38 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 216.18/149.38 | (466) all_212_1_107 = all_0_3_3 % 216.18/149.38 | % 216.18/149.38 | From (466) and (286) follows: % 216.18/149.38 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 216.18/149.38 | (261) all_135_0_86 = 0 % 216.18/149.38 | % 216.18/149.38 | Equations (261) can reduce 230 to: % 216.18/149.38 | (175) $false % 216.18/149.38 | % 216.18/149.38 |-The branch is then unsatisfiable % 216.18/149.38 |-Branch two: % 216.18/149.38 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6203) yields: % 216.18/149.38 | (6173) all_273_0_1235 = 0 % 216.18/149.38 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 216.18/149.38 | (346) all_110_1_81 = all_0_3_3 % 216.18/149.38 | % 216.18/149.38 | From (346) and (210) follows: % 216.18/149.38 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 216.18/149.38 | % 216.18/149.38 +-Applying beta-rule and splitting (6166), into two cases. % 216.18/149.38 |-Branch one: % 216.18/149.38 | (6177) all_292_0_1236 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6177) yields: % 216.18/149.38 | (6178) all_292_0_1236 = 0 % 216.18/149.38 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.18/149.38 | (351) all_135_1_87 = all_0_2_2 % 216.18/149.38 | % 216.18/149.38 | From (351) and (231) follows: % 216.18/149.38 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 216.18/149.38 | % 216.18/149.38 +-Applying beta-rule and splitting (6315), into two cases. % 216.18/149.38 |-Branch one: % 216.18/149.38 | (6333) all_316_0_1246 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6333) yields: % 216.18/149.38 | (6334) all_316_0_1246 = 0 % 216.18/149.38 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 216.18/149.38 | (459) all_212_1_107 = all_0_2_2 % 216.18/149.38 | % 216.18/149.38 | From (459) and (286) follows: % 216.18/149.38 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 216.18/149.38 | (261) all_135_0_86 = 0 % 216.18/149.38 | % 216.18/149.38 | Equations (261) can reduce 230 to: % 216.18/149.38 | (175) $false % 216.18/149.38 | % 216.18/149.38 |-The branch is then unsatisfiable % 216.18/149.38 |-Branch two: % 216.18/149.38 | (6340) all_316_0_1246 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6340) yields: % 216.18/149.38 | (6334) all_316_0_1246 = 0 % 216.18/149.38 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 216.18/149.38 | (466) all_212_1_107 = all_0_3_3 % 216.18/149.38 | % 216.18/149.38 | From (466) and (301) follows: % 216.18/149.38 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.18/149.38 | (233) all_110_0_80 = 0 % 216.18/149.38 | % 216.18/149.38 | Equations (233) can reduce 209 to: % 216.18/149.38 | (175) $false % 216.18/149.38 | % 216.18/149.38 |-The branch is then unsatisfiable % 216.18/149.38 |-Branch two: % 216.18/149.38 | (6184) all_292_0_1236 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6184) yields: % 216.18/149.38 | (6178) all_292_0_1236 = 0 % 216.18/149.38 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.18/149.38 | (358) all_135_1_87 = all_0_3_3 % 216.18/149.38 | % 216.18/149.38 | From (358) and (232) follows: % 216.18/149.38 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.18/149.38 | (233) all_110_0_80 = 0 % 216.18/149.38 | % 216.18/149.38 | Equations (233) can reduce 209 to: % 216.18/149.38 | (175) $false % 216.18/149.38 | % 216.18/149.38 |-The branch is then unsatisfiable % 216.18/149.38 |-Branch two: % 216.18/149.38 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6378) yields: % 216.18/149.38 | (6312) all_265_0_1234 = 0 % 216.18/149.38 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 216.18/149.38 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 216.18/149.38 | % 216.18/149.38 | Instantiating (473) with all_316_0_1251 yields: % 216.18/149.38 | (6382) (all_316_0_1251 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_1251 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 216.18/149.38 | % 216.18/149.38 +-Applying beta-rule and splitting (6238), into two cases. % 216.18/149.38 |-Branch one: % 216.18/149.38 | (6383) all_300_0_1240 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 216.18/149.38 | % 216.18/149.38 | Applying alpha-rule on (6383) yields: % 216.18/149.38 | (6384) all_300_0_1240 = 0 % 216.18/149.38 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 216.18/149.38 | % 216.18/149.38 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 216.18/149.38 | (483) all_181_1_101 = all_0_5_5 % 216.18/149.38 | % 216.18/149.38 | From (483) and (287) follows: % 216.41/149.38 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.41/149.38 | % 216.41/149.38 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.41/149.38 | (212) all_85_0_72 = 0 % 216.41/149.38 | % 216.41/149.38 | Equations (212) can reduce 183 to: % 216.41/149.38 | (175) $false % 216.41/149.38 | % 216.41/149.38 |-The branch is then unsatisfiable % 216.41/149.38 |-Branch two: % 216.41/149.38 | (6390) all_300_0_1240 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 216.41/149.38 | % 216.41/149.38 | Applying alpha-rule on (6390) yields: % 216.41/149.38 | (6384) all_300_0_1240 = 0 % 216.41/149.38 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 216.41/149.38 | % 216.41/149.38 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 216.41/149.38 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 216.41/149.38 | % 216.41/149.38 | Instantiating (490) with all_346_0_1252 yields: % 216.41/149.38 | (6394) (all_346_0_1252 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_346_0_1252 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 216.41/149.38 | % 216.41/149.38 +-Applying beta-rule and splitting (6310), into two cases. % 216.41/149.38 |-Branch one: % 216.41/149.38 | (6395) all_308_0_1245 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 216.41/149.38 | % 216.41/149.38 | Applying alpha-rule on (6395) yields: % 216.41/149.39 | (6396) all_308_0_1245 = 0 % 216.41/149.39 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 216.41/149.39 | (495) all_165_2_96 = all_0_5_5 % 216.41/149.39 | % 216.41/149.39 | From (495) and (303) follows: % 216.41/149.39 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.41/149.39 | (212) all_85_0_72 = 0 % 216.41/149.39 | % 216.41/149.39 | Equations (212) can reduce 183 to: % 216.41/149.39 | (175) $false % 216.41/149.39 | % 216.41/149.39 |-The branch is then unsatisfiable % 216.41/149.39 |-Branch two: % 216.41/149.39 | (6402) all_308_0_1245 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6402) yields: % 216.41/149.39 | (6396) all_308_0_1245 = 0 % 216.41/149.39 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 216.41/149.39 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 216.41/149.39 | % 216.41/149.39 | Instantiating (502) with all_354_0_1253 yields: % 216.41/149.39 | (6406) (all_354_0_1253 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_1253 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 216.41/149.39 | % 216.41/149.39 +-Applying beta-rule and splitting (6382), into two cases. % 216.41/149.39 |-Branch one: % 216.41/149.39 | (6407) all_316_0_1251 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6407) yields: % 216.41/149.39 | (6408) all_316_0_1251 = 0 % 216.41/149.39 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 216.41/149.39 | (507) all_212_1_107 = all_0_5_5 % 216.41/149.39 | % 216.41/149.39 | From (507) and (312) follows: % 216.41/149.39 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.41/149.39 | (212) all_85_0_72 = 0 % 216.41/149.39 | % 216.41/149.39 | Equations (212) can reduce 183 to: % 216.41/149.39 | (175) $false % 216.41/149.39 | % 216.41/149.39 |-The branch is then unsatisfiable % 216.41/149.39 |-Branch two: % 216.41/149.39 | (6414) all_316_0_1251 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6414) yields: % 216.41/149.39 | (6408) all_316_0_1251 = 0 % 216.41/149.39 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 216.41/149.39 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 216.41/149.39 | % 216.41/149.39 | Instantiating (514) with all_362_0_1254 yields: % 216.41/149.39 | (6418) (all_362_0_1254 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_1254 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 216.41/149.39 | % 216.41/149.39 +-Applying beta-rule and splitting (6394), into two cases. % 216.41/149.39 |-Branch one: % 216.41/149.39 | (6419) all_346_0_1252 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6419) yields: % 216.41/149.39 | (6420) all_346_0_1252 = 0 % 216.41/149.39 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 216.41/149.39 | (519) all_181_1_101 = all_0_6_6 % 216.41/149.39 | % 216.41/149.39 | From (519) and (259) follows: % 216.41/149.39 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 216.41/149.39 | % 216.41/149.39 +-Applying beta-rule and splitting (6418), into two cases. % 216.41/149.39 |-Branch one: % 216.41/149.39 | (6424) all_362_0_1254 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6424) yields: % 216.41/149.39 | (6425) all_362_0_1254 = 0 % 216.41/149.39 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 216.41/149.39 | (524) all_212_1_107 = all_0_6_6 % 216.41/149.39 | % 216.41/149.39 | From (524) and (281) follows: % 216.41/149.39 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 216.41/149.39 | (526) all_181_0_100 = 0 % 216.41/149.39 | % 216.41/149.39 | Equations (526) can reduce 258 to: % 216.41/149.39 | (175) $false % 216.41/149.39 | % 216.41/149.39 |-The branch is then unsatisfiable % 216.41/149.39 |-Branch two: % 216.41/149.39 | (6431) all_362_0_1254 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6431) yields: % 216.41/149.39 | (6425) all_362_0_1254 = 0 % 216.41/149.39 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 216.41/149.39 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 216.41/149.39 | % 216.41/149.39 | Instantiating (531) with all_389_0_1256 yields: % 216.41/149.39 | (6435) (all_389_0_1256 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_1256 = 0 & mem(all_212_1_107, e) = 0) % 216.41/149.39 | % 216.41/149.39 +-Applying beta-rule and splitting (6435), into two cases. % 216.41/149.39 |-Branch one: % 216.41/149.39 | (6436) all_389_0_1256 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6436) yields: % 216.41/149.39 | (6437) all_389_0_1256 = 0 % 216.41/149.39 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 216.41/149.39 | (536) all_212_1_107 = e % 216.41/149.39 | % 216.41/149.39 | From (536) and (6141) follows: % 216.41/149.39 | (6440) mem(all_244_1_1231, e) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 216.41/149.39 | (538) $false % 216.41/149.39 | % 216.41/149.39 |-The branch is then unsatisfiable % 216.41/149.39 |-Branch two: % 216.41/149.39 | (6442) all_389_0_1256 = 0 & mem(all_212_1_107, e) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6442) yields: % 216.41/149.39 | (6437) all_389_0_1256 = 0 % 216.41/149.39 | (541) mem(all_212_1_107, e) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 216.41/149.39 | (538) $false % 216.41/149.39 | % 216.41/149.39 |-The branch is then unsatisfiable % 216.41/149.39 |-Branch two: % 216.41/149.39 | (6446) all_346_0_1252 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6446) yields: % 216.41/149.39 | (6420) all_346_0_1252 = 0 % 216.41/149.39 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 216.41/149.39 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 216.41/149.39 | % 216.41/149.39 | Instantiating (546) with all_370_0_1261 yields: % 216.41/149.39 | (6450) (all_370_0_1261 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_370_0_1261 = 0 & mem(all_181_1_101, e) = 0) % 216.41/149.39 | % 216.41/149.39 +-Applying beta-rule and splitting (6406), into two cases. % 216.41/149.39 |-Branch one: % 216.41/149.39 | (6451) all_354_0_1253 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6451) yields: % 216.41/149.39 | (6452) all_354_0_1253 = 0 % 216.41/149.39 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 216.41/149.39 | (551) all_165_2_96 = all_0_6_6 % 216.41/149.39 | % 216.41/149.39 | From (551) and (6142) follows: % 216.41/149.39 | (6455) mem(all_244_1_1231, all_0_6_6) = all_244_0_1230 % 216.41/149.39 | % 216.41/149.39 | Instantiating formula (8) with all_244_0_1230, all_0_6_6, all_66_0_64, e, all_244_1_1231 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, yields: % 216.41/149.39 | (6456) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 216.41/149.39 | % 216.41/149.39 +-Applying beta-rule and splitting (6418), into two cases. % 216.41/149.39 |-Branch one: % 216.41/149.39 | (6424) all_362_0_1254 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 216.41/149.39 | % 216.41/149.39 | Applying alpha-rule on (6424) yields: % 216.41/149.39 | (6425) all_362_0_1254 = 0 % 216.41/149.39 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 216.41/149.39 | % 216.41/149.40 +-Applying beta-rule and splitting (6456), into two cases. % 216.41/149.40 |-Branch one: % 216.41/149.40 | (6460) all_244_0_1230 = 0 % 216.41/149.40 | % 216.41/149.40 | Equations (6460) can reduce 6140 to: % 216.41/149.40 | (175) $false % 216.41/149.40 | % 216.41/149.40 |-The branch is then unsatisfiable % 216.41/149.40 |-Branch two: % 216.41/149.40 | (6140) ~ (all_244_0_1230 = 0) % 216.41/149.40 | (6463) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 216.41/149.40 | (524) all_212_1_107 = all_0_6_6 % 216.41/149.40 | % 216.41/149.40 | From (524) and (6141) follows: % 216.41/149.40 | (6465) mem(all_244_1_1231, all_0_6_6) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (65) with all_244_1_1231, all_0_6_6, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, mem(all_244_1_1231, all_0_6_6) = 0, yields: % 216.41/149.40 | (6460) all_244_0_1230 = 0 % 216.41/149.40 | % 216.41/149.40 | Equations (6460) can reduce 6140 to: % 216.41/149.40 | (175) $false % 216.41/149.40 | % 216.41/149.40 |-The branch is then unsatisfiable % 216.41/149.40 |-Branch two: % 216.41/149.40 | (6431) all_362_0_1254 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 216.41/149.40 | % 216.41/149.40 | Applying alpha-rule on (6431) yields: % 216.41/149.40 | (6425) all_362_0_1254 = 0 % 216.41/149.40 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 216.41/149.40 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 216.41/149.40 | % 216.41/149.40 | Instantiating (531) with all_400_0_1270 yields: % 216.41/149.40 | (6472) (all_400_0_1270 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_1270 = 0 & mem(all_212_1_107, e) = 0) % 216.41/149.40 | % 216.41/149.40 +-Applying beta-rule and splitting (6472), into two cases. % 216.41/149.40 |-Branch one: % 216.41/149.40 | (6473) all_400_0_1270 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 216.41/149.40 | % 216.41/149.40 | Applying alpha-rule on (6473) yields: % 216.41/149.40 | (6474) all_400_0_1270 = 0 % 216.41/149.40 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 216.41/149.40 | (536) all_212_1_107 = e % 216.41/149.40 | % 216.41/149.40 | From (536) and (6141) follows: % 216.41/149.40 | (6440) mem(all_244_1_1231, e) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 216.41/149.40 | (538) $false % 216.41/149.40 | % 216.41/149.40 |-The branch is then unsatisfiable % 216.41/149.40 |-Branch two: % 216.41/149.40 | (6479) all_400_0_1270 = 0 & mem(all_212_1_107, e) = 0 % 216.41/149.40 | % 216.41/149.40 | Applying alpha-rule on (6479) yields: % 216.41/149.40 | (6474) all_400_0_1270 = 0 % 216.41/149.40 | (541) mem(all_212_1_107, e) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 216.41/149.40 | (538) $false % 216.41/149.40 | % 216.41/149.40 |-The branch is then unsatisfiable % 216.41/149.40 |-Branch two: % 216.41/149.40 | (6483) all_354_0_1253 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 216.41/149.40 | % 216.41/149.40 | Applying alpha-rule on (6483) yields: % 216.41/149.40 | (6452) all_354_0_1253 = 0 % 216.41/149.40 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 216.41/149.40 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 216.41/149.40 | % 216.41/149.40 | Instantiating (583) with all_378_0_1273 yields: % 216.41/149.40 | (6487) (all_378_0_1273 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_1273 = 0 & mem(all_165_2_96, e) = 0) % 216.41/149.40 | % 216.41/149.40 +-Applying beta-rule and splitting (6450), into two cases. % 216.41/149.40 |-Branch one: % 216.41/149.40 | (6488) all_370_0_1261 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 216.41/149.40 | % 216.41/149.40 | Applying alpha-rule on (6488) yields: % 216.41/149.40 | (6489) all_370_0_1261 = 0 % 216.41/149.40 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 216.41/149.40 | (588) all_181_1_101 = e % 216.41/149.40 | % 216.41/149.40 | From (588) and (259) follows: % 216.41/149.40 | (589) mem(e, all_129_1_85) = all_181_0_100 % 216.41/149.40 | % 216.41/149.40 +-Applying beta-rule and splitting (6487), into two cases. % 216.41/149.40 |-Branch one: % 216.41/149.40 | (6493) all_378_0_1273 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 216.41/149.40 | % 216.41/149.40 | Applying alpha-rule on (6493) yields: % 216.41/149.40 | (6494) all_378_0_1273 = 0 % 216.41/149.40 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 216.41/149.40 | (593) all_165_2_96 = e % 216.41/149.40 | % 216.41/149.40 | From (593) and (248) follows: % 216.41/149.40 | (594) mem(e, all_129_1_85) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 216.41/149.40 | (526) all_181_0_100 = 0 % 216.41/149.40 | % 216.41/149.40 | Equations (526) can reduce 258 to: % 216.41/149.40 | (175) $false % 216.41/149.40 | % 216.41/149.40 |-The branch is then unsatisfiable % 216.41/149.40 |-Branch two: % 216.41/149.40 | (6500) all_378_0_1273 = 0 & mem(all_165_2_96, e) = 0 % 216.41/149.40 | % 216.41/149.40 | Applying alpha-rule on (6500) yields: % 216.41/149.40 | (6494) all_378_0_1273 = 0 % 216.41/149.40 | (599) mem(all_165_2_96, e) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 216.41/149.40 | (538) $false % 216.41/149.40 | % 216.41/149.40 |-The branch is then unsatisfiable % 216.41/149.40 |-Branch two: % 216.41/149.40 | (6504) all_370_0_1261 = 0 & mem(all_181_1_101, e) = 0 % 216.41/149.40 | % 216.41/149.40 | Applying alpha-rule on (6504) yields: % 216.41/149.40 | (6489) all_370_0_1261 = 0 % 216.41/149.40 | (603) mem(all_181_1_101, e) = 0 % 216.41/149.40 | % 216.41/149.40 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 216.41/149.40 | (538) $false % 216.41/149.40 | % 216.41/149.40 |-The branch is then unsatisfiable % 216.41/149.41 |-Branch two: % 216.41/149.41 | (6508) all_227_0_1228 = 0 & mem(all_135_1_87, all_0_4_4) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6508) yields: % 216.41/149.41 | (6163) all_227_0_1228 = 0 % 216.41/149.41 | (364) mem(all_135_1_87, all_0_4_4) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_135_1_87, all_0_4_4) = 0, yields: % 216.41/149.41 | (365) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_5_5) = 0)) % 216.41/149.41 | % 216.41/149.41 | Instantiating (365) with all_292_0_1280 yields: % 216.41/149.41 | (6512) (all_292_0_1280 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (all_292_0_1280 = 0 & mem(all_135_1_87, all_0_5_5) = 0) % 216.41/149.41 | % 216.41/149.41 +-Applying beta-rule and splitting (6146), into two cases. % 216.41/149.41 |-Branch one: % 216.41/149.41 | (6167) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6167) yields: % 216.41/149.41 | (6168) all_252_0_1232 = 0 % 216.41/149.41 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 216.41/149.41 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 216.41/149.41 | % 216.41/149.41 | Instantiating (370) with all_300_0_1281 yields: % 216.41/149.41 | (6517) (all_300_0_1281 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_1281 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 216.41/149.41 | % 216.41/149.41 +-Applying beta-rule and splitting (6149), into two cases. % 216.41/149.41 |-Branch one: % 216.41/149.41 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6239) yields: % 216.41/149.41 | (6240) all_259_0_1233 = 0 % 216.41/149.41 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 216.41/149.41 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 216.41/149.41 | % 216.41/149.41 | Instantiating (406) with all_308_0_1282 yields: % 216.41/149.41 | (6522) (all_308_0_1282 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_1282 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 216.41/149.41 | % 216.41/149.41 +-Applying beta-rule and splitting (6156), into two cases. % 216.41/149.41 |-Branch one: % 216.41/149.41 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6172) yields: % 216.41/149.41 | (6173) all_273_0_1235 = 0 % 216.41/149.41 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.41/149.41 | (339) all_110_1_81 = all_0_2_2 % 216.41/149.41 | % 216.41/149.41 | From (339) and (210) follows: % 216.41/149.41 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.41/149.41 | % 216.41/149.41 +-Applying beta-rule and splitting (6517), into two cases. % 216.41/149.41 |-Branch one: % 216.41/149.41 | (6528) all_300_0_1281 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6528) yields: % 216.41/149.41 | (6529) all_300_0_1281 = 0 % 216.41/149.41 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 216.41/149.41 | (387) all_181_1_101 = all_0_2_2 % 216.41/149.41 | % 216.41/149.41 | From (387) and (267) follows: % 216.41/149.41 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.41/149.41 | (233) all_110_0_80 = 0 % 216.41/149.41 | % 216.41/149.41 | Equations (233) can reduce 209 to: % 216.41/149.41 | (175) $false % 216.41/149.41 | % 216.41/149.41 |-The branch is then unsatisfiable % 216.41/149.41 |-Branch two: % 216.41/149.41 | (6535) all_300_0_1281 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6535) yields: % 216.41/149.41 | (6529) all_300_0_1281 = 0 % 216.41/149.41 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 216.41/149.41 | (394) all_181_1_101 = all_0_3_3 % 216.41/149.41 | % 216.41/149.41 | From (394) and (259) follows: % 216.41/149.41 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 216.41/149.41 | % 216.41/149.41 +-Applying beta-rule and splitting (6522), into two cases. % 216.41/149.41 |-Branch one: % 216.41/149.41 | (6540) all_308_0_1282 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6540) yields: % 216.41/149.41 | (6541) all_308_0_1282 = 0 % 216.41/149.41 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 216.41/149.41 | (423) all_165_2_96 = all_0_2_2 % 216.41/149.41 | % 216.41/149.41 | From (423) and (288) follows: % 216.41/149.41 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.41/149.41 | (233) all_110_0_80 = 0 % 216.41/149.41 | % 216.41/149.41 | Equations (233) can reduce 209 to: % 216.41/149.41 | (175) $false % 216.41/149.41 | % 216.41/149.41 |-The branch is then unsatisfiable % 216.41/149.41 |-Branch two: % 216.41/149.41 | (6547) all_308_0_1282 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6547) yields: % 216.41/149.41 | (6541) all_308_0_1282 = 0 % 216.41/149.41 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 216.41/149.41 | (430) all_165_2_96 = all_0_3_3 % 216.41/149.41 | % 216.41/149.41 | From (430) and (248) follows: % 216.41/149.41 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 216.41/149.41 | (526) all_181_0_100 = 0 % 216.41/149.41 | % 216.41/149.41 | Equations (526) can reduce 258 to: % 216.41/149.41 | (175) $false % 216.41/149.41 | % 216.41/149.41 |-The branch is then unsatisfiable % 216.41/149.41 |-Branch two: % 216.41/149.41 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6203) yields: % 216.41/149.41 | (6173) all_273_0_1235 = 0 % 216.41/149.41 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 216.41/149.41 | (346) all_110_1_81 = all_0_3_3 % 216.41/149.41 | % 216.41/149.41 | From (346) and (210) follows: % 216.41/149.41 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 216.41/149.41 | % 216.41/149.41 +-Applying beta-rule and splitting (6517), into two cases. % 216.41/149.41 |-Branch one: % 216.41/149.41 | (6528) all_300_0_1281 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6528) yields: % 216.41/149.41 | (6529) all_300_0_1281 = 0 % 216.41/149.41 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 216.41/149.41 | (387) all_181_1_101 = all_0_2_2 % 216.41/149.41 | % 216.41/149.41 | From (387) and (259) follows: % 216.41/149.41 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 216.41/149.41 | % 216.41/149.41 +-Applying beta-rule and splitting (6522), into two cases. % 216.41/149.41 |-Branch one: % 216.41/149.41 | (6540) all_308_0_1282 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6540) yields: % 216.41/149.41 | (6541) all_308_0_1282 = 0 % 216.41/149.41 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 216.41/149.41 | (423) all_165_2_96 = all_0_2_2 % 216.41/149.41 | % 216.41/149.41 | From (423) and (248) follows: % 216.41/149.41 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 216.41/149.41 | (526) all_181_0_100 = 0 % 216.41/149.41 | % 216.41/149.41 | Equations (526) can reduce 258 to: % 216.41/149.41 | (175) $false % 216.41/149.41 | % 216.41/149.41 |-The branch is then unsatisfiable % 216.41/149.41 |-Branch two: % 216.41/149.41 | (6547) all_308_0_1282 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 216.41/149.41 | % 216.41/149.41 | Applying alpha-rule on (6547) yields: % 216.41/149.41 | (6541) all_308_0_1282 = 0 % 216.41/149.41 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 216.41/149.41 | (430) all_165_2_96 = all_0_3_3 % 216.41/149.41 | % 216.41/149.41 | From (430) and (288) follows: % 216.41/149.41 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.41/149.41 | % 216.41/149.41 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.41/149.41 | (233) all_110_0_80 = 0 % 216.41/149.41 | % 216.41/149.41 | Equations (233) can reduce 209 to: % 216.41/149.41 | (175) $false % 216.41/149.41 | % 216.41/149.41 |-The branch is then unsatisfiable % 216.41/149.41 |-Branch two: % 216.41/149.42 | (6535) all_300_0_1281 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6535) yields: % 216.41/149.42 | (6529) all_300_0_1281 = 0 % 216.41/149.42 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 216.41/149.42 | (394) all_181_1_101 = all_0_3_3 % 216.41/149.42 | % 216.41/149.42 | From (394) and (267) follows: % 216.41/149.42 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.41/149.42 | (233) all_110_0_80 = 0 % 216.41/149.42 | % 216.41/149.42 | Equations (233) can reduce 209 to: % 216.41/149.42 | (175) $false % 216.41/149.42 | % 216.41/149.42 |-The branch is then unsatisfiable % 216.41/149.42 |-Branch two: % 216.41/149.42 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6306) yields: % 216.41/149.42 | (6240) all_259_0_1233 = 0 % 216.41/149.42 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 216.41/149.42 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 216.41/149.42 | % 216.41/149.42 | Instantiating (437) with all_308_0_1286 yields: % 216.41/149.42 | (6589) (all_308_0_1286 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_1286 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 216.41/149.42 | % 216.41/149.42 +-Applying beta-rule and splitting (6151), into two cases. % 216.41/149.42 |-Branch one: % 216.41/149.42 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6311) yields: % 216.41/149.42 | (6312) all_265_0_1234 = 0 % 216.41/149.42 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 216.41/149.42 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 216.41/149.42 | % 216.41/149.42 | Instantiating (442) with all_316_0_1287 yields: % 216.41/149.42 | (6594) (all_316_0_1287 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_1287 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 216.41/149.42 | % 216.41/149.42 +-Applying beta-rule and splitting (6156), into two cases. % 216.41/149.42 |-Branch one: % 216.41/149.42 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6172) yields: % 216.41/149.42 | (6173) all_273_0_1235 = 0 % 216.41/149.42 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.41/149.42 | (339) all_110_1_81 = all_0_2_2 % 216.41/149.42 | % 216.41/149.42 | From (339) and (210) follows: % 216.41/149.42 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.41/149.42 | % 216.41/149.42 +-Applying beta-rule and splitting (6517), into two cases. % 216.41/149.42 |-Branch one: % 216.41/149.42 | (6528) all_300_0_1281 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6528) yields: % 216.41/149.42 | (6529) all_300_0_1281 = 0 % 216.41/149.42 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 216.41/149.42 | (387) all_181_1_101 = all_0_2_2 % 216.41/149.42 | % 216.41/149.42 | From (387) and (267) follows: % 216.41/149.42 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.41/149.42 | (233) all_110_0_80 = 0 % 216.41/149.42 | % 216.41/149.42 | Equations (233) can reduce 209 to: % 216.41/149.42 | (175) $false % 216.41/149.42 | % 216.41/149.42 |-The branch is then unsatisfiable % 216.41/149.42 |-Branch two: % 216.41/149.42 | (6535) all_300_0_1281 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6535) yields: % 216.41/149.42 | (6529) all_300_0_1281 = 0 % 216.41/149.42 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 216.41/149.42 | (394) all_181_1_101 = all_0_3_3 % 216.41/149.42 | % 216.41/149.42 | From (394) and (259) follows: % 216.41/149.42 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 216.41/149.42 | % 216.41/149.42 +-Applying beta-rule and splitting (6594), into two cases. % 216.41/149.42 |-Branch one: % 216.41/149.42 | (6612) all_316_0_1287 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6612) yields: % 216.41/149.42 | (6613) all_316_0_1287 = 0 % 216.41/149.42 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 216.41/149.42 | (459) all_212_1_107 = all_0_2_2 % 216.41/149.42 | % 216.41/149.42 | From (459) and (301) follows: % 216.41/149.42 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.41/149.42 | (233) all_110_0_80 = 0 % 216.41/149.42 | % 216.41/149.42 | Equations (233) can reduce 209 to: % 216.41/149.42 | (175) $false % 216.41/149.42 | % 216.41/149.42 |-The branch is then unsatisfiable % 216.41/149.42 |-Branch two: % 216.41/149.42 | (6619) all_316_0_1287 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6619) yields: % 216.41/149.42 | (6613) all_316_0_1287 = 0 % 216.41/149.42 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 216.41/149.42 | (466) all_212_1_107 = all_0_3_3 % 216.41/149.42 | % 216.41/149.42 | From (466) and (281) follows: % 216.41/149.42 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 216.41/149.42 | (526) all_181_0_100 = 0 % 216.41/149.42 | % 216.41/149.42 | Equations (526) can reduce 258 to: % 216.41/149.42 | (175) $false % 216.41/149.42 | % 216.41/149.42 |-The branch is then unsatisfiable % 216.41/149.42 |-Branch two: % 216.41/149.42 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6203) yields: % 216.41/149.42 | (6173) all_273_0_1235 = 0 % 216.41/149.42 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 216.41/149.42 | (346) all_110_1_81 = all_0_3_3 % 216.41/149.42 | % 216.41/149.42 | From (346) and (210) follows: % 216.41/149.42 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 216.41/149.42 | % 216.41/149.42 +-Applying beta-rule and splitting (6517), into two cases. % 216.41/149.42 |-Branch one: % 216.41/149.42 | (6528) all_300_0_1281 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6528) yields: % 216.41/149.42 | (6529) all_300_0_1281 = 0 % 216.41/149.42 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 216.41/149.42 | (387) all_181_1_101 = all_0_2_2 % 216.41/149.42 | % 216.41/149.42 | From (387) and (259) follows: % 216.41/149.42 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 216.41/149.42 | % 216.41/149.42 +-Applying beta-rule and splitting (6594), into two cases. % 216.41/149.42 |-Branch one: % 216.41/149.42 | (6612) all_316_0_1287 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6612) yields: % 216.41/149.42 | (6613) all_316_0_1287 = 0 % 216.41/149.42 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 216.41/149.42 | (459) all_212_1_107 = all_0_2_2 % 216.41/149.42 | % 216.41/149.42 | From (459) and (281) follows: % 216.41/149.42 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 216.41/149.42 | (526) all_181_0_100 = 0 % 216.41/149.42 | % 216.41/149.42 | Equations (526) can reduce 258 to: % 216.41/149.42 | (175) $false % 216.41/149.42 | % 216.41/149.42 |-The branch is then unsatisfiable % 216.41/149.42 |-Branch two: % 216.41/149.42 | (6619) all_316_0_1287 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Applying alpha-rule on (6619) yields: % 216.41/149.42 | (6613) all_316_0_1287 = 0 % 216.41/149.42 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 216.41/149.42 | (466) all_212_1_107 = all_0_3_3 % 216.41/149.42 | % 216.41/149.42 | From (466) and (301) follows: % 216.41/149.42 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.41/149.42 | % 216.41/149.42 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.41/149.42 | (233) all_110_0_80 = 0 % 216.41/149.42 | % 216.41/149.42 | Equations (233) can reduce 209 to: % 216.41/149.42 | (175) $false % 216.41/149.42 | % 216.41/149.42 |-The branch is then unsatisfiable % 216.41/149.42 |-Branch two: % 216.41/149.42 | (6535) all_300_0_1281 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 216.41/149.42 | % 216.41/149.43 | Applying alpha-rule on (6535) yields: % 216.41/149.43 | (6529) all_300_0_1281 = 0 % 216.41/149.43 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 216.41/149.43 | (394) all_181_1_101 = all_0_3_3 % 216.41/149.43 | % 216.41/149.43 | From (394) and (267) follows: % 216.41/149.43 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.41/149.43 | (233) all_110_0_80 = 0 % 216.41/149.43 | % 216.41/149.43 | Equations (233) can reduce 209 to: % 216.41/149.43 | (175) $false % 216.41/149.43 | % 216.41/149.43 |-The branch is then unsatisfiable % 216.41/149.43 |-Branch two: % 216.41/149.43 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6378) yields: % 216.41/149.43 | (6312) all_265_0_1234 = 0 % 216.41/149.43 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 216.41/149.43 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 216.41/149.43 | % 216.41/149.43 | Instantiating (473) with all_316_0_1292 yields: % 216.41/149.43 | (6661) (all_316_0_1292 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_1292 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 216.41/149.43 | % 216.41/149.43 +-Applying beta-rule and splitting (6512), into two cases. % 216.41/149.43 |-Branch one: % 216.41/149.43 | (6662) all_292_0_1280 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6662) yields: % 216.41/149.43 | (6663) all_292_0_1280 = 0 % 216.41/149.43 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 216.41/149.43 | (478) all_135_1_87 = all_0_5_5 % 216.41/149.43 | % 216.41/149.43 | From (478) and (241) follows: % 216.41/149.43 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.41/149.43 | (212) all_85_0_72 = 0 % 216.41/149.43 | % 216.41/149.43 | Equations (212) can reduce 183 to: % 216.41/149.43 | (175) $false % 216.41/149.43 | % 216.41/149.43 |-The branch is then unsatisfiable % 216.41/149.43 |-Branch two: % 216.41/149.43 | (6669) all_292_0_1280 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6669) yields: % 216.41/149.43 | (6663) all_292_0_1280 = 0 % 216.41/149.43 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 216.41/149.43 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 216.41/149.43 | % 216.41/149.43 | Instantiating (608) with all_335_0_1293 yields: % 216.41/149.43 | (6673) (all_335_0_1293 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_1293 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 216.41/149.43 | % 216.41/149.43 +-Applying beta-rule and splitting (6589), into two cases. % 216.41/149.43 |-Branch one: % 216.41/149.43 | (6674) all_308_0_1286 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6674) yields: % 216.41/149.43 | (6675) all_308_0_1286 = 0 % 216.41/149.43 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 216.41/149.43 | (495) all_165_2_96 = all_0_5_5 % 216.41/149.43 | % 216.41/149.43 | From (495) and (303) follows: % 216.41/149.43 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.41/149.43 | (212) all_85_0_72 = 0 % 216.41/149.43 | % 216.41/149.43 | Equations (212) can reduce 183 to: % 216.41/149.43 | (175) $false % 216.41/149.43 | % 216.41/149.43 |-The branch is then unsatisfiable % 216.41/149.43 |-Branch two: % 216.41/149.43 | (6681) all_308_0_1286 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6681) yields: % 216.41/149.43 | (6675) all_308_0_1286 = 0 % 216.41/149.43 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 216.41/149.43 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 216.41/149.43 | % 216.41/149.43 | Instantiating (502) with all_354_0_1294 yields: % 216.41/149.43 | (6685) (all_354_0_1294 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_1294 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 216.41/149.43 | % 216.41/149.43 +-Applying beta-rule and splitting (6661), into two cases. % 216.41/149.43 |-Branch one: % 216.41/149.43 | (6686) all_316_0_1292 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6686) yields: % 216.41/149.43 | (6687) all_316_0_1292 = 0 % 216.41/149.43 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 216.41/149.43 | (507) all_212_1_107 = all_0_5_5 % 216.41/149.43 | % 216.41/149.43 | From (507) and (312) follows: % 216.41/149.43 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.41/149.43 | (212) all_85_0_72 = 0 % 216.41/149.43 | % 216.41/149.43 | Equations (212) can reduce 183 to: % 216.41/149.43 | (175) $false % 216.41/149.43 | % 216.41/149.43 |-The branch is then unsatisfiable % 216.41/149.43 |-Branch two: % 216.41/149.43 | (6693) all_316_0_1292 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6693) yields: % 216.41/149.43 | (6687) all_316_0_1292 = 0 % 216.41/149.43 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 216.41/149.43 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 216.41/149.43 | % 216.41/149.43 | Instantiating (514) with all_362_0_1295 yields: % 216.41/149.43 | (6697) (all_362_0_1295 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_1295 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 216.41/149.43 | % 216.41/149.43 +-Applying beta-rule and splitting (6673), into two cases. % 216.41/149.43 |-Branch one: % 216.41/149.43 | (6698) all_335_0_1293 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6698) yields: % 216.41/149.43 | (6699) all_335_0_1293 = 0 % 216.41/149.43 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 216.41/149.43 | (642) all_135_1_87 = all_0_6_6 % 216.41/149.43 | % 216.41/149.43 | From (642) and (231) follows: % 216.41/149.43 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 216.41/149.43 | % 216.41/149.43 +-Applying beta-rule and splitting (6697), into two cases. % 216.41/149.43 |-Branch one: % 216.41/149.43 | (6703) all_362_0_1295 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6703) yields: % 216.41/149.43 | (6704) all_362_0_1295 = 0 % 216.41/149.43 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 216.41/149.43 | (524) all_212_1_107 = all_0_6_6 % 216.41/149.43 | % 216.41/149.43 | From (524) and (286) follows: % 216.41/149.43 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 216.41/149.43 | (261) all_135_0_86 = 0 % 216.41/149.43 | % 216.41/149.43 | Equations (261) can reduce 230 to: % 216.41/149.43 | (175) $false % 216.41/149.43 | % 216.41/149.43 |-The branch is then unsatisfiable % 216.41/149.43 |-Branch two: % 216.41/149.43 | (6710) all_362_0_1295 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6710) yields: % 216.41/149.43 | (6704) all_362_0_1295 = 0 % 216.41/149.43 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 216.41/149.43 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 216.41/149.43 | % 216.41/149.43 | Instantiating (531) with all_389_0_1297 yields: % 216.41/149.43 | (6714) (all_389_0_1297 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_1297 = 0 & mem(all_212_1_107, e) = 0) % 216.41/149.43 | % 216.41/149.43 +-Applying beta-rule and splitting (6714), into two cases. % 216.41/149.43 |-Branch one: % 216.41/149.43 | (6715) all_389_0_1297 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 216.41/149.43 | % 216.41/149.43 | Applying alpha-rule on (6715) yields: % 216.41/149.43 | (6716) all_389_0_1297 = 0 % 216.41/149.43 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 216.41/149.43 | % 216.41/149.43 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 216.41/149.43 | (536) all_212_1_107 = e % 216.41/149.43 | % 216.41/149.43 | From (536) and (6141) follows: % 216.41/149.44 | (6440) mem(all_244_1_1231, e) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 216.41/149.44 | (538) $false % 216.41/149.44 | % 216.41/149.44 |-The branch is then unsatisfiable % 216.41/149.44 |-Branch two: % 216.41/149.44 | (6721) all_389_0_1297 = 0 & mem(all_212_1_107, e) = 0 % 216.41/149.44 | % 216.41/149.44 | Applying alpha-rule on (6721) yields: % 216.41/149.44 | (6716) all_389_0_1297 = 0 % 216.41/149.44 | (541) mem(all_212_1_107, e) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 216.41/149.44 | (538) $false % 216.41/149.44 | % 216.41/149.44 |-The branch is then unsatisfiable % 216.41/149.44 |-Branch two: % 216.41/149.44 | (6725) all_335_0_1293 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 216.41/149.44 | % 216.41/149.44 | Applying alpha-rule on (6725) yields: % 216.41/149.44 | (6699) all_335_0_1293 = 0 % 216.41/149.44 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 216.41/149.44 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 216.41/149.44 | % 216.41/149.44 | Instantiating (669) with all_370_0_1302 yields: % 216.41/149.44 | (6729) (all_370_0_1302 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_370_0_1302 = 0 & mem(all_135_1_87, e) = 0) % 216.41/149.44 | % 216.41/149.44 +-Applying beta-rule and splitting (6685), into two cases. % 216.41/149.44 |-Branch one: % 216.41/149.44 | (6730) all_354_0_1294 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 216.41/149.44 | % 216.41/149.44 | Applying alpha-rule on (6730) yields: % 216.41/149.44 | (6731) all_354_0_1294 = 0 % 216.41/149.44 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 216.41/149.44 | (551) all_165_2_96 = all_0_6_6 % 216.41/149.44 | % 216.41/149.44 | From (551) and (6142) follows: % 216.41/149.44 | (6455) mem(all_244_1_1231, all_0_6_6) = all_244_0_1230 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (8) with all_244_0_1230, all_0_6_6, all_66_0_64, e, all_244_1_1231 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, yields: % 216.41/149.44 | (6456) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 216.41/149.44 | % 216.41/149.44 +-Applying beta-rule and splitting (6697), into two cases. % 216.41/149.44 |-Branch one: % 216.41/149.44 | (6703) all_362_0_1295 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 216.41/149.44 | % 216.41/149.44 | Applying alpha-rule on (6703) yields: % 216.41/149.44 | (6704) all_362_0_1295 = 0 % 216.41/149.44 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 216.41/149.44 | % 216.41/149.44 +-Applying beta-rule and splitting (6456), into two cases. % 216.41/149.44 |-Branch one: % 216.41/149.44 | (6460) all_244_0_1230 = 0 % 216.41/149.44 | % 216.41/149.44 | Equations (6460) can reduce 6140 to: % 216.41/149.44 | (175) $false % 216.41/149.44 | % 216.41/149.44 |-The branch is then unsatisfiable % 216.41/149.44 |-Branch two: % 216.41/149.44 | (6140) ~ (all_244_0_1230 = 0) % 216.41/149.44 | (6463) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 216.41/149.44 | (524) all_212_1_107 = all_0_6_6 % 216.41/149.44 | % 216.41/149.44 | From (524) and (6141) follows: % 216.41/149.44 | (6465) mem(all_244_1_1231, all_0_6_6) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (65) with all_244_1_1231, all_0_6_6, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, mem(all_244_1_1231, all_0_6_6) = 0, yields: % 216.41/149.44 | (6460) all_244_0_1230 = 0 % 216.41/149.44 | % 216.41/149.44 | Equations (6460) can reduce 6140 to: % 216.41/149.44 | (175) $false % 216.41/149.44 | % 216.41/149.44 |-The branch is then unsatisfiable % 216.41/149.44 |-Branch two: % 216.41/149.44 | (6710) all_362_0_1295 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 216.41/149.44 | % 216.41/149.44 | Applying alpha-rule on (6710) yields: % 216.41/149.44 | (6704) all_362_0_1295 = 0 % 216.41/149.44 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 216.41/149.44 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 216.41/149.44 | % 216.41/149.44 | Instantiating (531) with all_400_0_1311 yields: % 216.41/149.44 | (6751) (all_400_0_1311 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_1311 = 0 & mem(all_212_1_107, e) = 0) % 216.41/149.44 | % 216.41/149.44 +-Applying beta-rule and splitting (6751), into two cases. % 216.41/149.44 |-Branch one: % 216.41/149.44 | (6752) all_400_0_1311 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 216.41/149.44 | % 216.41/149.44 | Applying alpha-rule on (6752) yields: % 216.41/149.44 | (6753) all_400_0_1311 = 0 % 216.41/149.44 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 216.41/149.44 | (536) all_212_1_107 = e % 216.41/149.44 | % 216.41/149.44 | From (536) and (6141) follows: % 216.41/149.44 | (6440) mem(all_244_1_1231, e) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 216.41/149.44 | (538) $false % 216.41/149.44 | % 216.41/149.44 |-The branch is then unsatisfiable % 216.41/149.44 |-Branch two: % 216.41/149.44 | (6758) all_400_0_1311 = 0 & mem(all_212_1_107, e) = 0 % 216.41/149.44 | % 216.41/149.44 | Applying alpha-rule on (6758) yields: % 216.41/149.44 | (6753) all_400_0_1311 = 0 % 216.41/149.44 | (541) mem(all_212_1_107, e) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 216.41/149.44 | (538) $false % 216.41/149.44 | % 216.41/149.44 |-The branch is then unsatisfiable % 216.41/149.44 |-Branch two: % 216.41/149.44 | (6762) all_354_0_1294 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 216.41/149.44 | % 216.41/149.44 | Applying alpha-rule on (6762) yields: % 216.41/149.44 | (6731) all_354_0_1294 = 0 % 216.41/149.44 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 216.41/149.44 | % 216.41/149.44 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 216.41/149.44 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 216.41/149.44 | % 216.41/149.44 | Instantiating (583) with all_378_0_1314 yields: % 216.41/149.44 | (6766) (all_378_0_1314 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_1314 = 0 & mem(all_165_2_96, e) = 0) % 216.41/149.45 | % 216.41/149.45 +-Applying beta-rule and splitting (6729), into two cases. % 216.41/149.45 |-Branch one: % 216.41/149.45 | (6767) all_370_0_1302 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6767) yields: % 216.41/149.45 | (6768) all_370_0_1302 = 0 % 216.41/149.45 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 216.41/149.45 | (711) all_135_1_87 = e % 216.41/149.45 | % 216.41/149.45 | From (711) and (231) follows: % 216.41/149.45 | (712) mem(e, all_99_1_77) = all_135_0_86 % 216.41/149.45 | % 216.41/149.45 +-Applying beta-rule and splitting (6766), into two cases. % 216.41/149.45 |-Branch one: % 216.41/149.45 | (6772) all_378_0_1314 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6772) yields: % 216.41/149.45 | (6773) all_378_0_1314 = 0 % 216.41/149.45 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 216.41/149.45 | (593) all_165_2_96 = e % 216.41/149.45 | % 216.41/149.45 | From (593) and (268) follows: % 216.41/149.45 | (717) mem(e, all_99_1_77) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 216.41/149.45 | (261) all_135_0_86 = 0 % 216.41/149.45 | % 216.41/149.45 | Equations (261) can reduce 230 to: % 216.41/149.45 | (175) $false % 216.41/149.45 | % 216.41/149.45 |-The branch is then unsatisfiable % 216.41/149.45 |-Branch two: % 216.41/149.45 | (6779) all_378_0_1314 = 0 & mem(all_165_2_96, e) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6779) yields: % 216.41/149.45 | (6773) all_378_0_1314 = 0 % 216.41/149.45 | (599) mem(all_165_2_96, e) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 216.41/149.45 | (538) $false % 216.41/149.45 | % 216.41/149.45 |-The branch is then unsatisfiable % 216.41/149.45 |-Branch two: % 216.41/149.45 | (6783) all_370_0_1302 = 0 & mem(all_135_1_87, e) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6783) yields: % 216.41/149.45 | (6768) all_370_0_1302 = 0 % 216.41/149.45 | (726) mem(all_135_1_87, e) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 216.41/149.45 | (538) $false % 216.41/149.45 | % 216.41/149.45 |-The branch is then unsatisfiable % 216.41/149.45 |-Branch two: % 216.41/149.45 | (6234) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6234) yields: % 216.41/149.45 | (6168) all_252_0_1232 = 0 % 216.41/149.45 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 216.41/149.45 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 216.41/149.45 | % 216.41/149.45 | Instantiating (401) with all_300_0_1321 yields: % 216.41/149.45 | (6791) (all_300_0_1321 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_1321 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 216.41/149.45 | % 216.41/149.45 +-Applying beta-rule and splitting (6149), into two cases. % 216.41/149.45 |-Branch one: % 216.41/149.45 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6239) yields: % 216.41/149.45 | (6240) all_259_0_1233 = 0 % 216.41/149.45 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 216.41/149.45 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 216.41/149.45 | % 216.41/149.45 | Instantiating (406) with all_308_0_1322 yields: % 216.41/149.45 | (6796) (all_308_0_1322 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_1322 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 216.41/149.45 | % 216.41/149.45 +-Applying beta-rule and splitting (6151), into two cases. % 216.41/149.45 |-Branch one: % 216.41/149.45 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6311) yields: % 216.41/149.45 | (6312) all_265_0_1234 = 0 % 216.41/149.45 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 216.41/149.45 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 216.41/149.45 | % 216.41/149.45 | Instantiating (442) with all_316_0_1323 yields: % 216.41/149.45 | (6801) (all_316_0_1323 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_1323 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 216.41/149.45 | % 216.41/149.45 +-Applying beta-rule and splitting (6156), into two cases. % 216.41/149.45 |-Branch one: % 216.41/149.45 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6172) yields: % 216.41/149.45 | (6173) all_273_0_1235 = 0 % 216.41/149.45 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.41/149.45 | (339) all_110_1_81 = all_0_2_2 % 216.41/149.45 | % 216.41/149.45 | From (339) and (210) follows: % 216.41/149.45 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.41/149.45 | % 216.41/149.45 +-Applying beta-rule and splitting (6796), into two cases. % 216.41/149.45 |-Branch one: % 216.41/149.45 | (6807) all_308_0_1322 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6807) yields: % 216.41/149.45 | (6808) all_308_0_1322 = 0 % 216.41/149.45 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 216.41/149.45 | (423) all_165_2_96 = all_0_2_2 % 216.41/149.45 | % 216.41/149.45 | From (423) and (288) follows: % 216.41/149.45 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.41/149.45 | (233) all_110_0_80 = 0 % 216.41/149.45 | % 216.41/149.45 | Equations (233) can reduce 209 to: % 216.41/149.45 | (175) $false % 216.41/149.45 | % 216.41/149.45 |-The branch is then unsatisfiable % 216.41/149.45 |-Branch two: % 216.41/149.45 | (6814) all_308_0_1322 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 216.41/149.45 | % 216.41/149.45 | Applying alpha-rule on (6814) yields: % 216.41/149.45 | (6808) all_308_0_1322 = 0 % 216.41/149.45 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 216.41/149.45 | % 216.41/149.45 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 216.41/149.45 | (430) all_165_2_96 = all_0_3_3 % 216.41/149.45 | % 216.41/149.45 | From (430) and (6142) follows: % 216.41/149.45 | (6818) mem(all_244_1_1231, all_0_3_3) = all_244_0_1230 % 216.41/149.45 | % 216.41/149.46 +-Applying beta-rule and splitting (6801), into two cases. % 216.41/149.46 |-Branch one: % 216.41/149.46 | (6819) all_316_0_1323 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 216.41/149.46 | % 216.70/149.46 | Applying alpha-rule on (6819) yields: % 216.70/149.46 | (6820) all_316_0_1323 = 0 % 216.70/149.46 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 216.70/149.46 | (459) all_212_1_107 = all_0_2_2 % 216.70/149.46 | % 216.70/149.46 | From (459) and (301) follows: % 216.70/149.46 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.70/149.46 | (233) all_110_0_80 = 0 % 216.70/149.46 | % 216.70/149.46 | Equations (233) can reduce 209 to: % 216.70/149.46 | (175) $false % 216.70/149.46 | % 216.70/149.46 |-The branch is then unsatisfiable % 216.70/149.46 |-Branch two: % 216.70/149.46 | (6826) all_316_0_1323 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Applying alpha-rule on (6826) yields: % 216.70/149.46 | (6820) all_316_0_1323 = 0 % 216.70/149.46 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 216.70/149.46 | (466) all_212_1_107 = all_0_3_3 % 216.70/149.46 | % 216.70/149.46 | From (466) and (6141) follows: % 216.70/149.46 | (6830) mem(all_244_1_1231, all_0_3_3) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (65) with all_244_1_1231, all_0_3_3, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_3_3) = all_244_0_1230, mem(all_244_1_1231, all_0_3_3) = 0, yields: % 216.70/149.46 | (6460) all_244_0_1230 = 0 % 216.70/149.46 | % 216.70/149.46 | Equations (6460) can reduce 6140 to: % 216.70/149.46 | (175) $false % 216.70/149.46 | % 216.70/149.46 |-The branch is then unsatisfiable % 216.70/149.46 |-Branch two: % 216.70/149.46 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Applying alpha-rule on (6203) yields: % 216.70/149.46 | (6173) all_273_0_1235 = 0 % 216.70/149.46 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 216.70/149.46 | (346) all_110_1_81 = all_0_3_3 % 216.70/149.46 | % 216.70/149.46 | From (346) and (210) follows: % 216.70/149.46 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 216.70/149.46 | % 216.70/149.46 +-Applying beta-rule and splitting (6796), into two cases. % 216.70/149.46 |-Branch one: % 216.70/149.46 | (6807) all_308_0_1322 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 216.70/149.46 | % 216.70/149.46 | Applying alpha-rule on (6807) yields: % 216.70/149.46 | (6808) all_308_0_1322 = 0 % 216.70/149.46 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 216.70/149.46 | (423) all_165_2_96 = all_0_2_2 % 216.70/149.46 | % 216.70/149.46 | From (423) and (6142) follows: % 216.70/149.46 | (6842) mem(all_244_1_1231, all_0_2_2) = all_244_0_1230 % 216.70/149.46 | % 216.70/149.46 +-Applying beta-rule and splitting (6801), into two cases. % 216.70/149.46 |-Branch one: % 216.70/149.46 | (6819) all_316_0_1323 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 216.70/149.46 | % 216.70/149.46 | Applying alpha-rule on (6819) yields: % 216.70/149.46 | (6820) all_316_0_1323 = 0 % 216.70/149.46 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 216.70/149.46 | (459) all_212_1_107 = all_0_2_2 % 216.70/149.46 | % 216.70/149.46 | From (459) and (6141) follows: % 216.70/149.46 | (6847) mem(all_244_1_1231, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (65) with all_244_1_1231, all_0_2_2, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_2_2) = all_244_0_1230, mem(all_244_1_1231, all_0_2_2) = 0, yields: % 216.70/149.46 | (6460) all_244_0_1230 = 0 % 216.70/149.46 | % 216.70/149.46 | Equations (6460) can reduce 6140 to: % 216.70/149.46 | (175) $false % 216.70/149.46 | % 216.70/149.46 |-The branch is then unsatisfiable % 216.70/149.46 |-Branch two: % 216.70/149.46 | (6826) all_316_0_1323 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Applying alpha-rule on (6826) yields: % 216.70/149.46 | (6820) all_316_0_1323 = 0 % 216.70/149.46 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 216.70/149.46 | (466) all_212_1_107 = all_0_3_3 % 216.70/149.46 | % 216.70/149.46 | From (466) and (301) follows: % 216.70/149.46 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.70/149.46 | (233) all_110_0_80 = 0 % 216.70/149.46 | % 216.70/149.46 | Equations (233) can reduce 209 to: % 216.70/149.46 | (175) $false % 216.70/149.46 | % 216.70/149.46 |-The branch is then unsatisfiable % 216.70/149.46 |-Branch two: % 216.70/149.46 | (6814) all_308_0_1322 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Applying alpha-rule on (6814) yields: % 216.70/149.46 | (6808) all_308_0_1322 = 0 % 216.70/149.46 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 216.70/149.46 | (430) all_165_2_96 = all_0_3_3 % 216.70/149.46 | % 216.70/149.46 | From (430) and (288) follows: % 216.70/149.46 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.70/149.46 | (233) all_110_0_80 = 0 % 216.70/149.46 | % 216.70/149.46 | Equations (233) can reduce 209 to: % 216.70/149.46 | (175) $false % 216.70/149.46 | % 216.70/149.46 |-The branch is then unsatisfiable % 216.70/149.46 |-Branch two: % 216.70/149.46 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 216.70/149.46 | % 216.70/149.46 | Applying alpha-rule on (6378) yields: % 216.70/149.46 | (6312) all_265_0_1234 = 0 % 216.70/149.46 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 216.70/149.46 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 216.70/149.46 | % 216.70/149.46 | Instantiating (473) with all_316_0_1336 yields: % 216.70/149.46 | (6868) (all_316_0_1336 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_1336 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 216.70/149.46 | % 216.70/149.46 +-Applying beta-rule and splitting (6512), into two cases. % 216.70/149.46 |-Branch one: % 216.70/149.46 | (6662) all_292_0_1280 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 216.70/149.46 | % 216.70/149.46 | Applying alpha-rule on (6662) yields: % 216.70/149.46 | (6663) all_292_0_1280 = 0 % 216.70/149.46 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 216.70/149.46 | (478) all_135_1_87 = all_0_5_5 % 216.70/149.46 | % 216.70/149.46 | From (478) and (241) follows: % 216.70/149.46 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.70/149.46 | % 216.70/149.46 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.70/149.46 | (212) all_85_0_72 = 0 % 216.70/149.46 | % 216.70/149.46 | Equations (212) can reduce 183 to: % 216.70/149.46 | (175) $false % 216.70/149.46 | % 216.70/149.46 |-The branch is then unsatisfiable % 216.70/149.46 |-Branch two: % 216.70/149.47 | (6669) all_292_0_1280 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 216.70/149.47 | % 216.70/149.47 | Applying alpha-rule on (6669) yields: % 216.70/149.47 | (6663) all_292_0_1280 = 0 % 216.70/149.47 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 216.70/149.47 | % 216.70/149.47 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 216.70/149.47 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 216.70/149.47 | % 216.70/149.47 | Instantiating (608) with all_335_0_1337 yields: % 216.70/149.47 | (6880) (all_335_0_1337 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_1337 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 216.70/149.47 | % 216.70/149.47 +-Applying beta-rule and splitting (6791), into two cases. % 216.70/149.47 |-Branch one: % 216.70/149.47 | (6881) all_300_0_1321 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 216.70/149.47 | % 216.70/149.47 | Applying alpha-rule on (6881) yields: % 216.70/149.47 | (6882) all_300_0_1321 = 0 % 216.70/149.47 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 216.70/149.47 | % 216.70/149.47 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 216.70/149.47 | (483) all_181_1_101 = all_0_5_5 % 216.70/149.47 | % 216.70/149.47 | From (483) and (287) follows: % 216.70/149.47 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.70/149.47 | % 216.70/149.47 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.70/149.47 | (212) all_85_0_72 = 0 % 216.70/149.47 | % 216.70/149.47 | Equations (212) can reduce 183 to: % 216.70/149.47 | (175) $false % 216.70/149.47 | % 216.70/149.47 |-The branch is then unsatisfiable % 216.70/149.47 |-Branch two: % 216.70/149.47 | (6888) all_300_0_1321 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 216.70/149.47 | % 216.70/149.47 | Applying alpha-rule on (6888) yields: % 216.70/149.47 | (6882) all_300_0_1321 = 0 % 216.70/149.47 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 216.70/149.47 | % 216.70/149.47 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 216.70/149.47 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 216.70/149.47 | % 216.70/149.47 | Instantiating (490) with all_343_0_1338 yields: % 216.70/149.47 | (6892) (all_343_0_1338 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_1338 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 216.70/149.47 | % 216.75/149.47 +-Applying beta-rule and splitting (6868), into two cases. % 216.75/149.47 |-Branch one: % 216.75/149.47 | (6893) all_316_0_1336 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 216.75/149.47 | % 216.75/149.47 | Applying alpha-rule on (6893) yields: % 216.75/149.47 | (6894) all_316_0_1336 = 0 % 216.75/149.47 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 216.75/149.47 | (507) all_212_1_107 = all_0_5_5 % 216.75/149.47 | % 216.75/149.47 | From (507) and (312) follows: % 216.75/149.47 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.75/149.47 | (212) all_85_0_72 = 0 % 216.75/149.47 | % 216.75/149.47 | Equations (212) can reduce 183 to: % 216.75/149.47 | (175) $false % 216.75/149.47 | % 216.75/149.47 |-The branch is then unsatisfiable % 216.75/149.47 |-Branch two: % 216.75/149.47 | (6900) all_316_0_1336 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 216.75/149.47 | % 216.75/149.47 | Applying alpha-rule on (6900) yields: % 216.75/149.47 | (6894) all_316_0_1336 = 0 % 216.75/149.47 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 216.75/149.47 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 216.75/149.47 | % 216.75/149.47 | Instantiating (514) with all_368_0_1343 yields: % 216.75/149.47 | (6904) (all_368_0_1343 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_1343 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 216.75/149.47 | % 216.75/149.47 +-Applying beta-rule and splitting (6880), into two cases. % 216.75/149.47 |-Branch one: % 216.75/149.47 | (6905) all_335_0_1337 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 216.75/149.47 | % 216.75/149.47 | Applying alpha-rule on (6905) yields: % 216.75/149.47 | (6906) all_335_0_1337 = 0 % 216.75/149.47 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 216.75/149.47 | (642) all_135_1_87 = all_0_6_6 % 216.75/149.47 | % 216.75/149.47 | From (642) and (231) follows: % 216.75/149.47 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 216.75/149.47 | % 216.75/149.47 +-Applying beta-rule and splitting (6904), into two cases. % 216.75/149.47 |-Branch one: % 216.75/149.47 | (6910) all_368_0_1343 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 216.75/149.47 | % 216.75/149.47 | Applying alpha-rule on (6910) yields: % 216.75/149.47 | (6911) all_368_0_1343 = 0 % 216.75/149.47 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 216.75/149.47 | (524) all_212_1_107 = all_0_6_6 % 216.75/149.47 | % 216.75/149.47 | From (524) and (286) follows: % 216.75/149.47 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 216.75/149.47 | (261) all_135_0_86 = 0 % 216.75/149.47 | % 216.75/149.47 | Equations (261) can reduce 230 to: % 216.75/149.47 | (175) $false % 216.75/149.47 | % 216.75/149.47 |-The branch is then unsatisfiable % 216.75/149.47 |-Branch two: % 216.75/149.47 | (6917) all_368_0_1343 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 216.75/149.47 | % 216.75/149.47 | Applying alpha-rule on (6917) yields: % 216.75/149.47 | (6911) all_368_0_1343 = 0 % 216.75/149.47 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 216.75/149.47 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 216.75/149.47 | % 216.75/149.47 | Instantiating (531) with all_395_0_1345 yields: % 216.75/149.47 | (6921) (all_395_0_1345 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1345 = 0 & mem(all_212_1_107, e) = 0) % 216.75/149.47 | % 216.75/149.47 +-Applying beta-rule and splitting (6921), into two cases. % 216.75/149.47 |-Branch one: % 216.75/149.47 | (6922) all_395_0_1345 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 216.75/149.47 | % 216.75/149.47 | Applying alpha-rule on (6922) yields: % 216.75/149.47 | (6923) all_395_0_1345 = 0 % 216.75/149.47 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 216.75/149.47 | (536) all_212_1_107 = e % 216.75/149.47 | % 216.75/149.47 | From (536) and (6141) follows: % 216.75/149.47 | (6440) mem(all_244_1_1231, e) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 216.75/149.47 | (538) $false % 216.75/149.47 | % 216.75/149.47 |-The branch is then unsatisfiable % 216.75/149.47 |-Branch two: % 216.75/149.47 | (6928) all_395_0_1345 = 0 & mem(all_212_1_107, e) = 0 % 216.75/149.47 | % 216.75/149.47 | Applying alpha-rule on (6928) yields: % 216.75/149.47 | (6923) all_395_0_1345 = 0 % 216.75/149.47 | (541) mem(all_212_1_107, e) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 216.75/149.47 | (538) $false % 216.75/149.47 | % 216.75/149.47 |-The branch is then unsatisfiable % 216.75/149.47 |-Branch two: % 216.75/149.47 | (6932) all_335_0_1337 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 216.75/149.47 | % 216.75/149.47 | Applying alpha-rule on (6932) yields: % 216.75/149.47 | (6906) all_335_0_1337 = 0 % 216.75/149.47 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 216.75/149.47 | % 216.75/149.47 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 216.75/149.47 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 216.75/149.47 | % 216.75/149.47 | Instantiating (669) with all_376_0_1346 yields: % 216.75/149.47 | (6936) (all_376_0_1346 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_376_0_1346 = 0 & mem(all_135_1_87, e) = 0) % 216.75/149.47 | % 216.75/149.47 +-Applying beta-rule and splitting (6892), into two cases. % 216.75/149.47 |-Branch one: % 216.75/149.48 | (6937) all_343_0_1338 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6937) yields: % 216.75/149.48 | (6938) all_343_0_1338 = 0 % 216.75/149.48 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 216.75/149.48 | (519) all_181_1_101 = all_0_6_6 % 216.75/149.48 | % 216.75/149.48 | From (519) and (259) follows: % 216.75/149.48 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 216.75/149.48 | % 216.75/149.48 +-Applying beta-rule and splitting (6904), into two cases. % 216.75/149.48 |-Branch one: % 216.75/149.48 | (6910) all_368_0_1343 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6910) yields: % 216.75/149.48 | (6911) all_368_0_1343 = 0 % 216.75/149.48 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 216.75/149.48 | (524) all_212_1_107 = all_0_6_6 % 216.75/149.48 | % 216.75/149.48 | From (524) and (281) follows: % 216.75/149.48 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 216.75/149.48 | (526) all_181_0_100 = 0 % 216.75/149.48 | % 216.75/149.48 | Equations (526) can reduce 258 to: % 216.75/149.48 | (175) $false % 216.75/149.48 | % 216.75/149.48 |-The branch is then unsatisfiable % 216.75/149.48 |-Branch two: % 216.75/149.48 | (6917) all_368_0_1343 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6917) yields: % 216.75/149.48 | (6911) all_368_0_1343 = 0 % 216.75/149.48 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 216.75/149.48 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 216.75/149.48 | % 216.75/149.48 | Instantiating (531) with all_395_0_1347 yields: % 216.75/149.48 | (6953) (all_395_0_1347 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1347 = 0 & mem(all_212_1_107, e) = 0) % 216.75/149.48 | % 216.75/149.48 +-Applying beta-rule and splitting (6953), into two cases. % 216.75/149.48 |-Branch one: % 216.75/149.48 | (6954) all_395_0_1347 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6954) yields: % 216.75/149.48 | (6955) all_395_0_1347 = 0 % 216.75/149.48 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 216.75/149.48 | (536) all_212_1_107 = e % 216.75/149.48 | % 216.75/149.48 | From (536) and (6141) follows: % 216.75/149.48 | (6440) mem(all_244_1_1231, e) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 216.75/149.48 | (538) $false % 216.75/149.48 | % 216.75/149.48 |-The branch is then unsatisfiable % 216.75/149.48 |-Branch two: % 216.75/149.48 | (6960) all_395_0_1347 = 0 & mem(all_212_1_107, e) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6960) yields: % 216.75/149.48 | (6955) all_395_0_1347 = 0 % 216.75/149.48 | (541) mem(all_212_1_107, e) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 216.75/149.48 | (538) $false % 216.75/149.48 | % 216.75/149.48 |-The branch is then unsatisfiable % 216.75/149.48 |-Branch two: % 216.75/149.48 | (6964) all_343_0_1338 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6964) yields: % 216.75/149.48 | (6938) all_343_0_1338 = 0 % 216.75/149.48 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 216.75/149.48 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 216.75/149.48 | % 216.75/149.48 | Instantiating (546) with all_384_0_1348 yields: % 216.75/149.48 | (6968) (all_384_0_1348 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_384_0_1348 = 0 & mem(all_181_1_101, e) = 0) % 216.75/149.48 | % 216.75/149.48 +-Applying beta-rule and splitting (6936), into two cases. % 216.75/149.48 |-Branch one: % 216.75/149.48 | (6969) all_376_0_1346 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6969) yields: % 216.75/149.48 | (6970) all_376_0_1346 = 0 % 216.75/149.48 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 216.75/149.48 | (711) all_135_1_87 = e % 216.75/149.48 | % 216.75/149.48 | From (711) and (231) follows: % 216.75/149.48 | (712) mem(e, all_99_1_77) = all_135_0_86 % 216.75/149.48 | % 216.75/149.48 +-Applying beta-rule and splitting (6968), into two cases. % 216.75/149.48 |-Branch one: % 216.75/149.48 | (6974) all_384_0_1348 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6974) yields: % 216.75/149.48 | (6975) all_384_0_1348 = 0 % 216.75/149.48 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 216.75/149.48 | (588) all_181_1_101 = e % 216.75/149.48 | % 216.75/149.48 | From (588) and (260) follows: % 216.75/149.48 | (717) mem(e, all_99_1_77) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 216.75/149.48 | (261) all_135_0_86 = 0 % 216.75/149.48 | % 216.75/149.48 | Equations (261) can reduce 230 to: % 216.75/149.48 | (175) $false % 216.75/149.48 | % 216.75/149.48 |-The branch is then unsatisfiable % 216.75/149.48 |-Branch two: % 216.75/149.48 | (6981) all_384_0_1348 = 0 & mem(all_181_1_101, e) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6981) yields: % 216.75/149.48 | (6975) all_384_0_1348 = 0 % 216.75/149.48 | (603) mem(all_181_1_101, e) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 216.75/149.48 | (538) $false % 216.75/149.48 | % 216.75/149.48 |-The branch is then unsatisfiable % 216.75/149.48 |-Branch two: % 216.75/149.48 | (6985) all_376_0_1346 = 0 & mem(all_135_1_87, e) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6985) yields: % 216.75/149.48 | (6970) all_376_0_1346 = 0 % 216.75/149.48 | (726) mem(all_135_1_87, e) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 216.75/149.48 | (538) $false % 216.75/149.48 | % 216.75/149.48 |-The branch is then unsatisfiable % 216.75/149.48 |-Branch two: % 216.75/149.48 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 216.75/149.48 | % 216.75/149.48 | Applying alpha-rule on (6306) yields: % 216.75/149.48 | (6240) all_259_0_1233 = 0 % 216.75/149.48 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 216.75/149.48 | % 216.75/149.48 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 216.75/149.49 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 216.75/149.49 | % 216.75/149.49 | Instantiating (437) with all_308_0_1356 yields: % 216.75/149.49 | (6993) (all_308_0_1356 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_1356 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 216.75/149.49 | % 216.75/149.49 +-Applying beta-rule and splitting (6512), into two cases. % 216.75/149.49 |-Branch one: % 216.75/149.49 | (6662) all_292_0_1280 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (6662) yields: % 216.75/149.49 | (6663) all_292_0_1280 = 0 % 216.75/149.49 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 216.75/149.49 | (478) all_135_1_87 = all_0_5_5 % 216.75/149.49 | % 216.75/149.49 | From (478) and (241) follows: % 216.75/149.49 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.75/149.49 | (212) all_85_0_72 = 0 % 216.75/149.49 | % 216.75/149.49 | Equations (212) can reduce 183 to: % 216.75/149.49 | (175) $false % 216.75/149.49 | % 216.75/149.49 |-The branch is then unsatisfiable % 216.75/149.49 |-Branch two: % 216.75/149.49 | (6669) all_292_0_1280 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (6669) yields: % 216.75/149.49 | (6663) all_292_0_1280 = 0 % 216.75/149.49 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 216.75/149.49 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 216.75/149.49 | % 216.75/149.49 | Instantiating (608) with all_335_0_1358 yields: % 216.75/149.49 | (7005) (all_335_0_1358 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_335_0_1358 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 216.75/149.49 | % 216.75/149.49 +-Applying beta-rule and splitting (6791), into two cases. % 216.75/149.49 |-Branch one: % 216.75/149.49 | (6881) all_300_0_1321 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (6881) yields: % 216.75/149.49 | (6882) all_300_0_1321 = 0 % 216.75/149.49 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 216.75/149.49 | (483) all_181_1_101 = all_0_5_5 % 216.75/149.49 | % 216.75/149.49 | From (483) and (287) follows: % 216.75/149.49 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.75/149.49 | (212) all_85_0_72 = 0 % 216.75/149.49 | % 216.75/149.49 | Equations (212) can reduce 183 to: % 216.75/149.49 | (175) $false % 216.75/149.49 | % 216.75/149.49 |-The branch is then unsatisfiable % 216.75/149.49 |-Branch two: % 216.75/149.49 | (6888) all_300_0_1321 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (6888) yields: % 216.75/149.49 | (6882) all_300_0_1321 = 0 % 216.75/149.49 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 216.75/149.49 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 216.75/149.49 | % 216.75/149.49 | Instantiating (490) with all_343_0_1359 yields: % 216.75/149.49 | (7017) (all_343_0_1359 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_1359 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 216.75/149.49 | % 216.75/149.49 +-Applying beta-rule and splitting (6993), into two cases. % 216.75/149.49 |-Branch one: % 216.75/149.49 | (7018) all_308_0_1356 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (7018) yields: % 216.75/149.49 | (7019) all_308_0_1356 = 0 % 216.75/149.49 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 216.75/149.49 | (495) all_165_2_96 = all_0_5_5 % 216.75/149.49 | % 216.75/149.49 | From (495) and (303) follows: % 216.75/149.49 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 216.75/149.49 | (212) all_85_0_72 = 0 % 216.75/149.49 | % 216.75/149.49 | Equations (212) can reduce 183 to: % 216.75/149.49 | (175) $false % 216.75/149.49 | % 216.75/149.49 |-The branch is then unsatisfiable % 216.75/149.49 |-Branch two: % 216.75/149.49 | (7025) all_308_0_1356 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (7025) yields: % 216.75/149.49 | (7019) all_308_0_1356 = 0 % 216.75/149.49 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 216.75/149.49 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 216.75/149.49 | % 216.75/149.49 | Instantiating (502) with all_351_0_1360 yields: % 216.75/149.49 | (7029) (all_351_0_1360 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_1360 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 216.75/149.49 | % 216.75/149.49 +-Applying beta-rule and splitting (7005), into two cases. % 216.75/149.49 |-Branch one: % 216.75/149.49 | (7030) all_335_0_1358 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (7030) yields: % 216.75/149.49 | (7031) all_335_0_1358 = 0 % 216.75/149.49 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 216.75/149.49 | (642) all_135_1_87 = all_0_6_6 % 216.75/149.49 | % 216.75/149.49 | From (642) and (231) follows: % 216.75/149.49 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 216.75/149.49 | % 216.75/149.49 +-Applying beta-rule and splitting (7017), into two cases. % 216.75/149.49 |-Branch one: % 216.75/149.49 | (7035) all_343_0_1359 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (7035) yields: % 216.75/149.49 | (7036) all_343_0_1359 = 0 % 216.75/149.49 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 216.75/149.49 | (519) all_181_1_101 = all_0_6_6 % 216.75/149.49 | % 216.75/149.49 | From (519) and (260) follows: % 216.75/149.49 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 216.75/149.49 | (261) all_135_0_86 = 0 % 216.75/149.49 | % 216.75/149.49 | Equations (261) can reduce 230 to: % 216.75/149.49 | (175) $false % 216.75/149.49 | % 216.75/149.49 |-The branch is then unsatisfiable % 216.75/149.49 |-Branch two: % 216.75/149.49 | (7042) all_343_0_1359 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (7042) yields: % 216.75/149.49 | (7036) all_343_0_1359 = 0 % 216.75/149.49 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 216.75/149.49 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 216.75/149.49 | % 216.75/149.49 | Instantiating (546) with all_395_0_1363 yields: % 216.75/149.49 | (7046) (all_395_0_1363 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_395_0_1363 = 0 & mem(all_181_1_101, e) = 0) % 216.75/149.49 | % 216.75/149.49 +-Applying beta-rule and splitting (7029), into two cases. % 216.75/149.49 |-Branch one: % 216.75/149.49 | (7047) all_351_0_1360 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (7047) yields: % 216.75/149.49 | (7048) all_351_0_1360 = 0 % 216.75/149.49 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 216.75/149.49 | (551) all_165_2_96 = all_0_6_6 % 216.75/149.49 | % 216.75/149.49 | From (551) and (268) follows: % 216.75/149.49 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 216.75/149.49 | (261) all_135_0_86 = 0 % 216.75/149.49 | % 216.75/149.49 | Equations (261) can reduce 230 to: % 216.75/149.49 | (175) $false % 216.75/149.49 | % 216.75/149.49 |-The branch is then unsatisfiable % 216.75/149.49 |-Branch two: % 216.75/149.49 | (7054) all_351_0_1360 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (7054) yields: % 216.75/149.49 | (7048) all_351_0_1360 = 0 % 216.75/149.49 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 216.75/149.49 | % 216.75/149.49 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 216.75/149.49 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 216.75/149.49 | % 216.75/149.49 | Instantiating (583) with all_403_0_1364 yields: % 216.75/149.49 | (7058) (all_403_0_1364 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_1364 = 0 & mem(all_165_2_96, e) = 0) % 216.75/149.49 | % 216.75/149.49 +-Applying beta-rule and splitting (7046), into two cases. % 216.75/149.49 |-Branch one: % 216.75/149.49 | (7059) all_395_0_1363 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 216.75/149.49 | % 216.75/149.49 | Applying alpha-rule on (7059) yields: % 216.75/149.50 | (7060) all_395_0_1363 = 0 % 216.75/149.50 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 216.75/149.50 | (588) all_181_1_101 = e % 216.75/149.50 | % 216.75/149.50 | From (588) and (259) follows: % 216.75/149.50 | (589) mem(e, all_129_1_85) = all_181_0_100 % 216.75/149.50 | % 216.75/149.50 +-Applying beta-rule and splitting (7058), into two cases. % 216.75/149.50 |-Branch one: % 216.75/149.50 | (7064) all_403_0_1364 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7064) yields: % 216.75/149.50 | (7065) all_403_0_1364 = 0 % 216.75/149.50 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 216.75/149.50 | (593) all_165_2_96 = e % 216.75/149.50 | % 216.75/149.50 | From (593) and (248) follows: % 216.75/149.50 | (594) mem(e, all_129_1_85) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 216.75/149.50 | (526) all_181_0_100 = 0 % 216.75/149.50 | % 216.75/149.50 | Equations (526) can reduce 258 to: % 216.75/149.50 | (175) $false % 216.75/149.50 | % 216.75/149.50 |-The branch is then unsatisfiable % 216.75/149.50 |-Branch two: % 216.75/149.50 | (7071) all_403_0_1364 = 0 & mem(all_165_2_96, e) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7071) yields: % 216.75/149.50 | (7065) all_403_0_1364 = 0 % 216.75/149.50 | (599) mem(all_165_2_96, e) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 216.75/149.50 | (538) $false % 216.75/149.50 | % 216.75/149.50 |-The branch is then unsatisfiable % 216.75/149.50 |-Branch two: % 216.75/149.50 | (7075) all_395_0_1363 = 0 & mem(all_181_1_101, e) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7075) yields: % 216.75/149.50 | (7060) all_395_0_1363 = 0 % 216.75/149.50 | (603) mem(all_181_1_101, e) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 216.75/149.50 | (538) $false % 216.75/149.50 | % 216.75/149.50 |-The branch is then unsatisfiable % 216.75/149.50 |-Branch two: % 216.75/149.50 | (7079) all_335_0_1358 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7079) yields: % 216.75/149.50 | (7031) all_335_0_1358 = 0 % 216.75/149.50 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 216.75/149.50 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 216.75/149.50 | % 216.75/149.50 | Instantiating (669) with all_388_0_1367 yields: % 216.75/149.50 | (7083) (all_388_0_1367 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_388_0_1367 = 0 & mem(all_135_1_87, e) = 0) % 216.75/149.50 | % 216.75/149.50 +-Applying beta-rule and splitting (7017), into two cases. % 216.75/149.50 |-Branch one: % 216.75/149.50 | (7035) all_343_0_1359 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7035) yields: % 216.75/149.50 | (7036) all_343_0_1359 = 0 % 216.75/149.50 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 216.75/149.50 | (519) all_181_1_101 = all_0_6_6 % 216.75/149.50 | % 216.75/149.50 | From (519) and (259) follows: % 216.75/149.50 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 216.75/149.50 | % 216.75/149.50 +-Applying beta-rule and splitting (7029), into two cases. % 216.75/149.50 |-Branch one: % 216.75/149.50 | (7047) all_351_0_1360 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7047) yields: % 216.75/149.50 | (7048) all_351_0_1360 = 0 % 216.75/149.50 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 216.75/149.50 | (551) all_165_2_96 = all_0_6_6 % 216.75/149.50 | % 216.75/149.50 | From (551) and (248) follows: % 216.75/149.50 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 216.75/149.50 | (526) all_181_0_100 = 0 % 216.75/149.50 | % 216.75/149.50 | Equations (526) can reduce 258 to: % 216.75/149.50 | (175) $false % 216.75/149.50 | % 216.75/149.50 |-The branch is then unsatisfiable % 216.75/149.50 |-Branch two: % 216.75/149.50 | (7054) all_351_0_1360 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7054) yields: % 216.75/149.50 | (7048) all_351_0_1360 = 0 % 216.75/149.50 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 216.75/149.50 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 216.75/149.50 | % 216.75/149.50 | Instantiating (583) with all_407_0_1368 yields: % 216.75/149.50 | (7100) (all_407_0_1368 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_1368 = 0 & mem(all_165_2_96, e) = 0) % 216.75/149.50 | % 216.75/149.50 +-Applying beta-rule and splitting (7083), into two cases. % 216.75/149.50 |-Branch one: % 216.75/149.50 | (7101) all_388_0_1367 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7101) yields: % 216.75/149.50 | (7102) all_388_0_1367 = 0 % 216.75/149.50 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 216.75/149.50 | (711) all_135_1_87 = e % 216.75/149.50 | % 216.75/149.50 | From (711) and (231) follows: % 216.75/149.50 | (712) mem(e, all_99_1_77) = all_135_0_86 % 216.75/149.50 | % 216.75/149.50 +-Applying beta-rule and splitting (7100), into two cases. % 216.75/149.50 |-Branch one: % 216.75/149.50 | (7106) all_407_0_1368 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7106) yields: % 216.75/149.50 | (7107) all_407_0_1368 = 0 % 216.75/149.50 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 216.75/149.50 | (593) all_165_2_96 = e % 216.75/149.50 | % 216.75/149.50 | From (593) and (268) follows: % 216.75/149.50 | (717) mem(e, all_99_1_77) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 216.75/149.50 | (261) all_135_0_86 = 0 % 216.75/149.50 | % 216.75/149.50 | Equations (261) can reduce 230 to: % 216.75/149.50 | (175) $false % 216.75/149.50 | % 216.75/149.50 |-The branch is then unsatisfiable % 216.75/149.50 |-Branch two: % 216.75/149.50 | (7113) all_407_0_1368 = 0 & mem(all_165_2_96, e) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7113) yields: % 216.75/149.50 | (7107) all_407_0_1368 = 0 % 216.75/149.50 | (599) mem(all_165_2_96, e) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 216.75/149.50 | (538) $false % 216.75/149.50 | % 216.75/149.50 |-The branch is then unsatisfiable % 216.75/149.50 |-Branch two: % 216.75/149.50 | (7117) all_388_0_1367 = 0 & mem(all_135_1_87, e) = 0 % 216.75/149.50 | % 216.75/149.50 | Applying alpha-rule on (7117) yields: % 216.75/149.50 | (7102) all_388_0_1367 = 0 % 216.75/149.50 | (726) mem(all_135_1_87, e) = 0 % 216.75/149.50 | % 216.75/149.50 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 216.75/149.50 | (538) $false % 216.75/149.50 | % 216.75/149.50 |-The branch is then unsatisfiable % 216.75/149.50 |-Branch two: % 216.75/149.51 | (7042) all_343_0_1359 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 216.75/149.51 | % 216.75/149.51 | Applying alpha-rule on (7042) yields: % 216.75/149.51 | (7036) all_343_0_1359 = 0 % 216.75/149.51 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 216.75/149.51 | % 216.75/149.51 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 216.75/149.51 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 216.75/149.51 | % 216.75/149.51 | Instantiating (546) with all_396_0_1369 yields: % 216.75/149.51 | (7125) (all_396_0_1369 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_396_0_1369 = 0 & mem(all_181_1_101, e) = 0) % 216.75/149.51 | % 216.75/149.51 +-Applying beta-rule and splitting (7083), into two cases. % 216.75/149.51 |-Branch one: % 216.75/149.51 | (7101) all_388_0_1367 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 216.75/149.51 | % 216.75/149.51 | Applying alpha-rule on (7101) yields: % 216.75/149.51 | (7102) all_388_0_1367 = 0 % 216.75/149.51 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 216.75/149.51 | % 216.75/149.51 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 216.75/149.51 | (711) all_135_1_87 = e % 216.75/149.51 | % 216.75/149.51 | From (711) and (231) follows: % 216.75/149.51 | (712) mem(e, all_99_1_77) = all_135_0_86 % 216.75/149.51 | % 216.75/149.51 +-Applying beta-rule and splitting (7125), into two cases. % 216.75/149.51 |-Branch one: % 216.75/149.51 | (7131) all_396_0_1369 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 216.75/149.51 | % 216.75/149.51 | Applying alpha-rule on (7131) yields: % 216.75/149.51 | (7132) all_396_0_1369 = 0 % 216.75/149.51 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 216.75/149.51 | % 216.75/149.51 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 216.75/149.51 | (588) all_181_1_101 = e % 216.75/149.51 | % 216.75/149.51 | From (588) and (260) follows: % 216.75/149.51 | (717) mem(e, all_99_1_77) = 0 % 216.75/149.51 | % 216.75/149.51 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 216.75/149.51 | (261) all_135_0_86 = 0 % 216.75/149.51 | % 216.75/149.51 | Equations (261) can reduce 230 to: % 216.75/149.51 | (175) $false % 216.75/149.51 | % 216.75/149.51 |-The branch is then unsatisfiable % 216.75/149.51 |-Branch two: % 216.75/149.51 | (7138) all_396_0_1369 = 0 & mem(all_181_1_101, e) = 0 % 216.75/149.51 | % 216.75/149.51 | Applying alpha-rule on (7138) yields: % 216.75/149.51 | (7132) all_396_0_1369 = 0 % 216.75/149.51 | (603) mem(all_181_1_101, e) = 0 % 216.75/149.51 | % 216.75/149.51 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 216.75/149.51 | (538) $false % 216.75/149.51 | % 216.75/149.51 |-The branch is then unsatisfiable % 216.75/149.51 |-Branch two: % 216.75/149.51 | (7117) all_388_0_1367 = 0 & mem(all_135_1_87, e) = 0 % 216.75/149.51 | % 216.75/149.51 | Applying alpha-rule on (7117) yields: % 216.75/149.51 | (7102) all_388_0_1367 = 0 % 216.75/149.51 | (726) mem(all_135_1_87, e) = 0 % 216.75/149.51 | % 216.75/149.51 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 216.75/149.51 | (538) $false % 216.75/149.51 | % 216.75/149.51 |-The branch is then unsatisfiable % 216.92/149.51 |-Branch two: % 216.92/149.51 | (7146) all_226_0_1227 = 0 & mem(all_85_1_73, all_0_5_5) = 0 % 216.92/149.51 | % 216.92/149.51 | Applying alpha-rule on (7146) yields: % 216.92/149.51 | (6158) all_226_0_1227 = 0 % 216.92/149.51 | (7148) mem(all_85_1_73, all_0_5_5) = 0 % 216.92/149.51 | % 216.92/149.51 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_85_1_73, all_0_5_5) = 0, yields: % 216.92/149.51 | (7149) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_0_3_3) = 0) | (v0 = 0 & mem(all_85_1_73, all_0_6_6) = 0)) % 216.92/149.51 | % 216.92/149.51 | Instantiating (7149) with all_281_0_1378 yields: % 216.92/149.51 | (7150) (all_281_0_1378 = 0 & mem(all_85_1_73, all_0_3_3) = 0) | (all_281_0_1378 = 0 & mem(all_85_1_73, all_0_6_6) = 0) % 216.92/149.51 | % 216.92/149.51 +-Applying beta-rule and splitting (6123), into two cases. % 216.92/149.51 |-Branch one: % 216.92/149.51 | (6162) all_227_0_1228 = 0 & mem(all_135_1_87, all_0_1_1) = 0 % 216.92/149.51 | % 216.92/149.51 | Applying alpha-rule on (6162) yields: % 216.92/149.51 | (6163) all_227_0_1228 = 0 % 216.92/149.51 | (333) mem(all_135_1_87, all_0_1_1) = 0 % 216.92/149.51 | % 216.92/149.51 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_135_1_87, all_0_1_1) = 0, yields: % 216.92/149.51 | (334) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_2_2) = 0)) % 216.92/149.51 | % 216.92/149.51 | Instantiating (334) with all_289_0_1379 yields: % 216.92/149.51 | (7155) (all_289_0_1379 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (all_289_0_1379 = 0 & mem(all_135_1_87, all_0_2_2) = 0) % 216.92/149.51 | % 216.92/149.51 +-Applying beta-rule and splitting (6146), into two cases. % 216.92/149.51 |-Branch one: % 216.92/149.51 | (6167) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 216.92/149.51 | % 216.92/149.51 | Applying alpha-rule on (6167) yields: % 216.92/149.51 | (6168) all_252_0_1232 = 0 % 216.92/149.51 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 216.92/149.51 | % 216.92/149.51 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 216.92/149.51 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 216.92/149.51 | % 216.92/149.51 | Instantiating (370) with all_297_0_1380 yields: % 216.92/149.51 | (7160) (all_297_0_1380 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_297_0_1380 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 216.92/149.51 | % 216.92/149.51 +-Applying beta-rule and splitting (6156), into two cases. % 216.92/149.51 |-Branch one: % 216.92/149.51 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.92/149.51 | % 216.92/149.51 | Applying alpha-rule on (6172) yields: % 216.92/149.51 | (6173) all_273_0_1235 = 0 % 216.92/149.51 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.92/149.51 | % 216.92/149.51 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.92/149.51 | (339) all_110_1_81 = all_0_2_2 % 216.92/149.51 | % 216.92/149.51 | From (339) and (210) follows: % 216.92/149.51 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.92/149.51 | % 216.92/149.51 +-Applying beta-rule and splitting (7155), into two cases. % 216.92/149.51 |-Branch one: % 216.92/149.51 | (7166) all_289_0_1379 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.51 | % 216.92/149.51 | Applying alpha-rule on (7166) yields: % 216.92/149.51 | (7167) all_289_0_1379 = 0 % 216.92/149.52 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.92/149.52 | (351) all_135_1_87 = all_0_2_2 % 216.92/149.52 | % 216.92/149.52 | From (351) and (232) follows: % 216.92/149.52 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.92/149.52 | (233) all_110_0_80 = 0 % 216.92/149.52 | % 216.92/149.52 | Equations (233) can reduce 209 to: % 216.92/149.52 | (175) $false % 216.92/149.52 | % 216.92/149.52 |-The branch is then unsatisfiable % 216.92/149.52 |-Branch two: % 216.92/149.52 | (7173) all_289_0_1379 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (7173) yields: % 216.92/149.52 | (7167) all_289_0_1379 = 0 % 216.92/149.52 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.92/149.52 | (358) all_135_1_87 = all_0_3_3 % 216.92/149.52 | % 216.92/149.52 | From (358) and (231) follows: % 216.92/149.52 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 216.92/149.52 | % 216.92/149.52 +-Applying beta-rule and splitting (7160), into two cases. % 216.92/149.52 |-Branch one: % 216.92/149.52 | (7178) all_297_0_1380 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (7178) yields: % 216.92/149.52 | (7179) all_297_0_1380 = 0 % 216.92/149.52 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 216.92/149.52 | (387) all_181_1_101 = all_0_2_2 % 216.92/149.52 | % 216.92/149.52 | From (387) and (267) follows: % 216.92/149.52 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.92/149.52 | (233) all_110_0_80 = 0 % 216.92/149.52 | % 216.92/149.52 | Equations (233) can reduce 209 to: % 216.92/149.52 | (175) $false % 216.92/149.52 | % 216.92/149.52 |-The branch is then unsatisfiable % 216.92/149.52 |-Branch two: % 216.92/149.52 | (7185) all_297_0_1380 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (7185) yields: % 216.92/149.52 | (7179) all_297_0_1380 = 0 % 216.92/149.52 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 216.92/149.52 | (394) all_181_1_101 = all_0_3_3 % 216.92/149.52 | % 216.92/149.52 | From (394) and (260) follows: % 216.92/149.52 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 216.92/149.52 | (261) all_135_0_86 = 0 % 216.92/149.52 | % 216.92/149.52 | Equations (261) can reduce 230 to: % 216.92/149.52 | (175) $false % 216.92/149.52 | % 216.92/149.52 |-The branch is then unsatisfiable % 216.92/149.52 |-Branch two: % 216.92/149.52 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (6203) yields: % 216.92/149.52 | (6173) all_273_0_1235 = 0 % 216.92/149.52 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 216.92/149.52 | (346) all_110_1_81 = all_0_3_3 % 216.92/149.52 | % 216.92/149.52 | From (346) and (210) follows: % 216.92/149.52 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 216.92/149.52 | % 216.92/149.52 +-Applying beta-rule and splitting (7155), into two cases. % 216.92/149.52 |-Branch one: % 216.92/149.52 | (7166) all_289_0_1379 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (7166) yields: % 216.92/149.52 | (7167) all_289_0_1379 = 0 % 216.92/149.52 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.92/149.52 | (351) all_135_1_87 = all_0_2_2 % 216.92/149.52 | % 216.92/149.52 | From (351) and (231) follows: % 216.92/149.52 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 216.92/149.52 | % 216.92/149.52 +-Applying beta-rule and splitting (7160), into two cases. % 216.92/149.52 |-Branch one: % 216.92/149.52 | (7178) all_297_0_1380 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (7178) yields: % 216.92/149.52 | (7179) all_297_0_1380 = 0 % 216.92/149.52 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 216.92/149.52 | (387) all_181_1_101 = all_0_2_2 % 216.92/149.52 | % 216.92/149.52 | From (387) and (260) follows: % 216.92/149.52 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 216.92/149.52 | (261) all_135_0_86 = 0 % 216.92/149.52 | % 216.92/149.52 | Equations (261) can reduce 230 to: % 216.92/149.52 | (175) $false % 216.92/149.52 | % 216.92/149.52 |-The branch is then unsatisfiable % 216.92/149.52 |-Branch two: % 216.92/149.52 | (7185) all_297_0_1380 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (7185) yields: % 216.92/149.52 | (7179) all_297_0_1380 = 0 % 216.92/149.52 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 216.92/149.52 | (394) all_181_1_101 = all_0_3_3 % 216.92/149.52 | % 216.92/149.52 | From (394) and (267) follows: % 216.92/149.52 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.92/149.52 | (233) all_110_0_80 = 0 % 216.92/149.52 | % 216.92/149.52 | Equations (233) can reduce 209 to: % 216.92/149.52 | (175) $false % 216.92/149.52 | % 216.92/149.52 |-The branch is then unsatisfiable % 216.92/149.52 |-Branch two: % 216.92/149.52 | (7173) all_289_0_1379 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (7173) yields: % 216.92/149.52 | (7167) all_289_0_1379 = 0 % 216.92/149.52 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.92/149.52 | (358) all_135_1_87 = all_0_3_3 % 216.92/149.52 | % 216.92/149.52 | From (358) and (232) follows: % 216.92/149.52 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.92/149.52 | (233) all_110_0_80 = 0 % 216.92/149.52 | % 216.92/149.52 | Equations (233) can reduce 209 to: % 216.92/149.52 | (175) $false % 216.92/149.52 | % 216.92/149.52 |-The branch is then unsatisfiable % 216.92/149.52 |-Branch two: % 216.92/149.52 | (6234) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (6234) yields: % 216.92/149.52 | (6168) all_252_0_1232 = 0 % 216.92/149.52 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 216.92/149.52 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 216.92/149.52 | % 216.92/149.52 | Instantiating (401) with all_297_0_1383 yields: % 216.92/149.52 | (7227) (all_297_0_1383 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_297_0_1383 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 216.92/149.52 | % 216.92/149.52 +-Applying beta-rule and splitting (6149), into two cases. % 216.92/149.52 |-Branch one: % 216.92/149.52 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (6239) yields: % 216.92/149.52 | (6240) all_259_0_1233 = 0 % 216.92/149.52 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 216.92/149.52 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 216.92/149.52 | % 216.92/149.52 | Instantiating (406) with all_305_0_1384 yields: % 216.92/149.52 | (7232) (all_305_0_1384 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_305_0_1384 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 216.92/149.52 | % 216.92/149.52 +-Applying beta-rule and splitting (6156), into two cases. % 216.92/149.52 |-Branch one: % 216.92/149.52 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (6172) yields: % 216.92/149.52 | (6173) all_273_0_1235 = 0 % 216.92/149.52 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.92/149.52 | (339) all_110_1_81 = all_0_2_2 % 216.92/149.52 | % 216.92/149.52 | From (339) and (210) follows: % 216.92/149.52 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.92/149.52 | % 216.92/149.52 +-Applying beta-rule and splitting (7155), into two cases. % 216.92/149.52 |-Branch one: % 216.92/149.52 | (7166) all_289_0_1379 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Applying alpha-rule on (7166) yields: % 216.92/149.52 | (7167) all_289_0_1379 = 0 % 216.92/149.52 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.92/149.52 | (351) all_135_1_87 = all_0_2_2 % 216.92/149.52 | % 216.92/149.52 | From (351) and (232) follows: % 216.92/149.52 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.92/149.52 | % 216.92/149.52 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.92/149.53 | (233) all_110_0_80 = 0 % 216.92/149.53 | % 216.92/149.53 | Equations (233) can reduce 209 to: % 216.92/149.53 | (175) $false % 216.92/149.53 | % 216.92/149.53 |-The branch is then unsatisfiable % 216.92/149.53 |-Branch two: % 216.92/149.53 | (7173) all_289_0_1379 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7173) yields: % 216.92/149.53 | (7167) all_289_0_1379 = 0 % 216.92/149.53 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.92/149.53 | (358) all_135_1_87 = all_0_3_3 % 216.92/149.53 | % 216.92/149.53 | From (358) and (231) follows: % 216.92/149.53 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 216.92/149.53 | % 216.92/149.53 +-Applying beta-rule and splitting (7232), into two cases. % 216.92/149.53 |-Branch one: % 216.92/149.53 | (7250) all_305_0_1384 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7250) yields: % 216.92/149.53 | (7251) all_305_0_1384 = 0 % 216.92/149.53 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 216.92/149.53 | (423) all_165_2_96 = all_0_2_2 % 216.92/149.53 | % 216.92/149.53 | From (423) and (288) follows: % 216.92/149.53 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.92/149.53 | (233) all_110_0_80 = 0 % 216.92/149.53 | % 216.92/149.53 | Equations (233) can reduce 209 to: % 216.92/149.53 | (175) $false % 216.92/149.53 | % 216.92/149.53 |-The branch is then unsatisfiable % 216.92/149.53 |-Branch two: % 216.92/149.53 | (7257) all_305_0_1384 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7257) yields: % 216.92/149.53 | (7251) all_305_0_1384 = 0 % 216.92/149.53 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 216.92/149.53 | (430) all_165_2_96 = all_0_3_3 % 216.92/149.53 | % 216.92/149.53 | From (430) and (268) follows: % 216.92/149.53 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 216.92/149.53 | (261) all_135_0_86 = 0 % 216.92/149.53 | % 216.92/149.53 | Equations (261) can reduce 230 to: % 216.92/149.53 | (175) $false % 216.92/149.53 | % 216.92/149.53 |-The branch is then unsatisfiable % 216.92/149.53 |-Branch two: % 216.92/149.53 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (6203) yields: % 216.92/149.53 | (6173) all_273_0_1235 = 0 % 216.92/149.53 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 216.92/149.53 | (346) all_110_1_81 = all_0_3_3 % 216.92/149.53 | % 216.92/149.53 | From (346) and (210) follows: % 216.92/149.53 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 216.92/149.53 | % 216.92/149.53 +-Applying beta-rule and splitting (7155), into two cases. % 216.92/149.53 |-Branch one: % 216.92/149.53 | (7166) all_289_0_1379 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7166) yields: % 216.92/149.53 | (7167) all_289_0_1379 = 0 % 216.92/149.53 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.92/149.53 | (351) all_135_1_87 = all_0_2_2 % 216.92/149.53 | % 216.92/149.53 | From (351) and (231) follows: % 216.92/149.53 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 216.92/149.53 | % 216.92/149.53 +-Applying beta-rule and splitting (7232), into two cases. % 216.92/149.53 |-Branch one: % 216.92/149.53 | (7250) all_305_0_1384 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7250) yields: % 216.92/149.53 | (7251) all_305_0_1384 = 0 % 216.92/149.53 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 216.92/149.53 | (423) all_165_2_96 = all_0_2_2 % 216.92/149.53 | % 216.92/149.53 | From (423) and (268) follows: % 216.92/149.53 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 216.92/149.53 | (261) all_135_0_86 = 0 % 216.92/149.53 | % 216.92/149.53 | Equations (261) can reduce 230 to: % 216.92/149.53 | (175) $false % 216.92/149.53 | % 216.92/149.53 |-The branch is then unsatisfiable % 216.92/149.53 |-Branch two: % 216.92/149.53 | (7257) all_305_0_1384 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7257) yields: % 216.92/149.53 | (7251) all_305_0_1384 = 0 % 216.92/149.53 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 216.92/149.53 | (430) all_165_2_96 = all_0_3_3 % 216.92/149.53 | % 216.92/149.53 | From (430) and (288) follows: % 216.92/149.53 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.92/149.53 | (233) all_110_0_80 = 0 % 216.92/149.53 | % 216.92/149.53 | Equations (233) can reduce 209 to: % 216.92/149.53 | (175) $false % 216.92/149.53 | % 216.92/149.53 |-The branch is then unsatisfiable % 216.92/149.53 |-Branch two: % 216.92/149.53 | (7173) all_289_0_1379 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7173) yields: % 216.92/149.53 | (7167) all_289_0_1379 = 0 % 216.92/149.53 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.92/149.53 | (358) all_135_1_87 = all_0_3_3 % 216.92/149.53 | % 216.92/149.53 | From (358) and (232) follows: % 216.92/149.53 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 216.92/149.53 | (233) all_110_0_80 = 0 % 216.92/149.53 | % 216.92/149.53 | Equations (233) can reduce 209 to: % 216.92/149.53 | (175) $false % 216.92/149.53 | % 216.92/149.53 |-The branch is then unsatisfiable % 216.92/149.53 |-Branch two: % 216.92/149.53 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (6306) yields: % 216.92/149.53 | (6240) all_259_0_1233 = 0 % 216.92/149.53 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 216.92/149.53 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 216.92/149.53 | % 216.92/149.53 | Instantiating (437) with all_305_0_1386 yields: % 216.92/149.53 | (7299) (all_305_0_1386 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_305_0_1386 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 216.92/149.53 | % 216.92/149.53 +-Applying beta-rule and splitting (6151), into two cases. % 216.92/149.53 |-Branch one: % 216.92/149.53 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (6311) yields: % 216.92/149.53 | (6312) all_265_0_1234 = 0 % 216.92/149.53 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 216.92/149.53 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 216.92/149.53 | % 216.92/149.53 | Instantiating (442) with all_313_0_1387 yields: % 216.92/149.53 | (7304) (all_313_0_1387 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_313_0_1387 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 216.92/149.53 | % 216.92/149.53 +-Applying beta-rule and splitting (6156), into two cases. % 216.92/149.53 |-Branch one: % 216.92/149.53 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (6172) yields: % 216.92/149.53 | (6173) all_273_0_1235 = 0 % 216.92/149.53 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 216.92/149.53 | (339) all_110_1_81 = all_0_2_2 % 216.92/149.53 | % 216.92/149.53 | From (339) and (210) follows: % 216.92/149.53 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 216.92/149.53 | % 216.92/149.53 +-Applying beta-rule and splitting (7155), into two cases. % 216.92/149.53 |-Branch one: % 216.92/149.53 | (7166) all_289_0_1379 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7166) yields: % 216.92/149.53 | (7167) all_289_0_1379 = 0 % 216.92/149.53 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 216.92/149.53 | (351) all_135_1_87 = all_0_2_2 % 216.92/149.53 | % 216.92/149.53 | From (351) and (232) follows: % 216.92/149.53 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.92/149.53 | % 216.92/149.53 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.92/149.53 | (233) all_110_0_80 = 0 % 216.92/149.53 | % 216.92/149.53 | Equations (233) can reduce 209 to: % 216.92/149.53 | (175) $false % 216.92/149.53 | % 216.92/149.53 |-The branch is then unsatisfiable % 216.92/149.53 |-Branch two: % 216.92/149.53 | (7173) all_289_0_1379 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.53 | % 216.92/149.53 | Applying alpha-rule on (7173) yields: % 216.92/149.54 | (7167) all_289_0_1379 = 0 % 216.92/149.54 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 216.92/149.54 | % 216.92/149.54 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 216.92/149.54 | (358) all_135_1_87 = all_0_3_3 % 216.92/149.54 | % 216.92/149.54 | From (358) and (231) follows: % 216.92/149.54 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 216.92/149.54 | % 216.92/149.54 +-Applying beta-rule and splitting (7304), into two cases. % 216.92/149.54 |-Branch one: % 216.92/149.54 | (7322) all_313_0_1387 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 216.92/149.54 | % 216.92/149.54 | Applying alpha-rule on (7322) yields: % 216.92/149.54 | (7323) all_313_0_1387 = 0 % 216.92/149.54 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 216.92/149.54 | % 216.92/149.54 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 216.92/149.54 | (459) all_212_1_107 = all_0_2_2 % 216.92/149.54 | % 216.92/149.54 | From (459) and (301) follows: % 216.92/149.54 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 216.92/149.54 | % 216.92/149.54 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 216.92/149.54 | (233) all_110_0_80 = 0 % 216.92/149.54 | % 216.92/149.54 | Equations (233) can reduce 209 to: % 216.92/149.54 | (175) $false % 216.92/149.54 | % 216.92/149.54 |-The branch is then unsatisfiable % 216.92/149.54 |-Branch two: % 216.92/149.54 | (7329) all_313_0_1387 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 216.92/149.54 | % 216.92/149.54 | Applying alpha-rule on (7329) yields: % 216.92/149.54 | (7323) all_313_0_1387 = 0 % 216.92/149.54 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 216.92/149.54 | % 216.92/149.54 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 216.92/149.54 | (466) all_212_1_107 = all_0_3_3 % 216.92/149.54 | % 216.92/149.54 | From (466) and (286) follows: % 216.92/149.54 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 216.92/149.54 | % 216.92/149.54 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 216.92/149.54 | (261) all_135_0_86 = 0 % 216.92/149.54 | % 216.92/149.54 | Equations (261) can reduce 230 to: % 216.92/149.54 | (175) $false % 216.92/149.54 | % 216.92/149.54 |-The branch is then unsatisfiable % 217.00/149.54 |-Branch two: % 217.00/149.54 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (6203) yields: % 217.00/149.54 | (6173) all_273_0_1235 = 0 % 217.00/149.54 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 217.00/149.54 | (346) all_110_1_81 = all_0_3_3 % 217.00/149.54 | % 217.00/149.54 | From (346) and (210) follows: % 217.00/149.54 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 217.00/149.54 | % 217.00/149.54 +-Applying beta-rule and splitting (7155), into two cases. % 217.00/149.54 |-Branch one: % 217.00/149.54 | (7166) all_289_0_1379 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (7166) yields: % 217.00/149.54 | (7167) all_289_0_1379 = 0 % 217.00/149.54 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 217.00/149.54 | (351) all_135_1_87 = all_0_2_2 % 217.00/149.54 | % 217.00/149.54 | From (351) and (231) follows: % 217.00/149.54 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 217.00/149.54 | % 217.00/149.54 +-Applying beta-rule and splitting (7304), into two cases. % 217.00/149.54 |-Branch one: % 217.00/149.54 | (7322) all_313_0_1387 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (7322) yields: % 217.00/149.54 | (7323) all_313_0_1387 = 0 % 217.00/149.54 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.00/149.54 | (459) all_212_1_107 = all_0_2_2 % 217.00/149.54 | % 217.00/149.54 | From (459) and (286) follows: % 217.00/149.54 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.00/149.54 | (261) all_135_0_86 = 0 % 217.00/149.54 | % 217.00/149.54 | Equations (261) can reduce 230 to: % 217.00/149.54 | (175) $false % 217.00/149.54 | % 217.00/149.54 |-The branch is then unsatisfiable % 217.00/149.54 |-Branch two: % 217.00/149.54 | (7329) all_313_0_1387 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (7329) yields: % 217.00/149.54 | (7323) all_313_0_1387 = 0 % 217.00/149.54 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.00/149.54 | (466) all_212_1_107 = all_0_3_3 % 217.00/149.54 | % 217.00/149.54 | From (466) and (301) follows: % 217.00/149.54 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 217.00/149.54 | (233) all_110_0_80 = 0 % 217.00/149.54 | % 217.00/149.54 | Equations (233) can reduce 209 to: % 217.00/149.54 | (175) $false % 217.00/149.54 | % 217.00/149.54 |-The branch is then unsatisfiable % 217.00/149.54 |-Branch two: % 217.00/149.54 | (7173) all_289_0_1379 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (7173) yields: % 217.00/149.54 | (7167) all_289_0_1379 = 0 % 217.00/149.54 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 217.00/149.54 | (358) all_135_1_87 = all_0_3_3 % 217.00/149.54 | % 217.00/149.54 | From (358) and (232) follows: % 217.00/149.54 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 217.00/149.54 | (233) all_110_0_80 = 0 % 217.00/149.54 | % 217.00/149.54 | Equations (233) can reduce 209 to: % 217.00/149.54 | (175) $false % 217.00/149.54 | % 217.00/149.54 |-The branch is then unsatisfiable % 217.00/149.54 |-Branch two: % 217.00/149.54 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (6378) yields: % 217.00/149.54 | (6312) all_265_0_1234 = 0 % 217.00/149.54 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 217.00/149.54 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 217.00/149.54 | % 217.00/149.54 | Instantiating (473) with all_313_0_1390 yields: % 217.00/149.54 | (7371) (all_313_0_1390 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_313_0_1390 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 217.00/149.54 | % 217.00/149.54 +-Applying beta-rule and splitting (7150), into two cases. % 217.00/149.54 |-Branch one: % 217.00/149.54 | (7372) all_281_0_1378 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (7372) yields: % 217.00/149.54 | (7373) all_281_0_1378 = 0 % 217.00/149.54 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 217.00/149.54 | (7375) all_85_1_73 = all_0_6_6 % 217.00/149.54 | % 217.00/149.54 | From (7375) and (184) follows: % 217.00/149.54 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 217.00/149.54 | % 217.00/149.54 +-Applying beta-rule and splitting (7227), into two cases. % 217.00/149.54 |-Branch one: % 217.00/149.54 | (7377) all_297_0_1383 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (7377) yields: % 217.00/149.54 | (7378) all_297_0_1383 = 0 % 217.00/149.54 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.00/149.54 | % 217.00/149.54 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.00/149.54 | (483) all_181_1_101 = all_0_5_5 % 217.00/149.54 | % 217.00/149.54 | From (483) and (259) follows: % 217.00/149.54 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 217.00/149.54 | % 217.00/149.54 +-Applying beta-rule and splitting (7371), into two cases. % 217.00/149.54 |-Branch one: % 217.00/149.54 | (7382) all_313_0_1390 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.00/149.54 | % 217.00/149.54 | Applying alpha-rule on (7382) yields: % 217.00/149.55 | (7383) all_313_0_1390 = 0 % 217.00/149.55 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.00/149.55 | (507) all_212_1_107 = all_0_5_5 % 217.00/149.55 | % 217.00/149.55 | From (507) and (281) follows: % 217.00/149.55 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 217.00/149.55 | (526) all_181_0_100 = 0 % 217.00/149.55 | % 217.00/149.55 | Equations (526) can reduce 258 to: % 217.00/149.55 | (175) $false % 217.00/149.55 | % 217.00/149.55 |-The branch is then unsatisfiable % 217.00/149.55 |-Branch two: % 217.00/149.55 | (7389) all_313_0_1390 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.00/149.55 | % 217.00/149.55 | Applying alpha-rule on (7389) yields: % 217.00/149.55 | (7383) all_313_0_1390 = 0 % 217.00/149.55 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.00/149.55 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.00/149.55 | % 217.00/149.55 | Instantiating (514) with all_373_0_1392 yields: % 217.00/149.55 | (7393) (all_373_0_1392 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_1392 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.00/149.55 | % 217.00/149.55 +-Applying beta-rule and splitting (7393), into two cases. % 217.00/149.55 |-Branch one: % 217.00/149.55 | (7394) all_373_0_1392 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.00/149.55 | % 217.00/149.55 | Applying alpha-rule on (7394) yields: % 217.00/149.55 | (7395) all_373_0_1392 = 0 % 217.00/149.55 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.00/149.55 | (524) all_212_1_107 = all_0_6_6 % 217.00/149.55 | % 217.00/149.55 | From (524) and (312) follows: % 217.00/149.55 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.00/149.55 | (212) all_85_0_72 = 0 % 217.00/149.55 | % 217.00/149.55 | Equations (212) can reduce 183 to: % 217.00/149.55 | (175) $false % 217.00/149.55 | % 217.00/149.55 |-The branch is then unsatisfiable % 217.00/149.55 |-Branch two: % 217.00/149.55 | (7401) all_373_0_1392 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.00/149.55 | % 217.00/149.55 | Applying alpha-rule on (7401) yields: % 217.00/149.55 | (7395) all_373_0_1392 = 0 % 217.00/149.55 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.00/149.55 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.00/149.55 | % 217.00/149.55 | Instantiating (531) with all_389_0_1394 yields: % 217.00/149.55 | (7405) (all_389_0_1394 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_1394 = 0 & mem(all_212_1_107, e) = 0) % 217.00/149.55 | % 217.00/149.55 +-Applying beta-rule and splitting (7405), into two cases. % 217.00/149.55 |-Branch one: % 217.00/149.55 | (7406) all_389_0_1394 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.00/149.55 | % 217.00/149.55 | Applying alpha-rule on (7406) yields: % 217.00/149.55 | (7407) all_389_0_1394 = 0 % 217.00/149.55 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.00/149.55 | (536) all_212_1_107 = e % 217.00/149.55 | % 217.00/149.55 | From (536) and (6141) follows: % 217.00/149.55 | (6440) mem(all_244_1_1231, e) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.00/149.55 | (538) $false % 217.00/149.55 | % 217.00/149.55 |-The branch is then unsatisfiable % 217.00/149.55 |-Branch two: % 217.00/149.55 | (7412) all_389_0_1394 = 0 & mem(all_212_1_107, e) = 0 % 217.00/149.55 | % 217.00/149.55 | Applying alpha-rule on (7412) yields: % 217.00/149.55 | (7407) all_389_0_1394 = 0 % 217.00/149.55 | (541) mem(all_212_1_107, e) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.00/149.55 | (538) $false % 217.00/149.55 | % 217.00/149.55 |-The branch is then unsatisfiable % 217.00/149.55 |-Branch two: % 217.00/149.55 | (7416) all_297_0_1383 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.00/149.55 | % 217.00/149.55 | Applying alpha-rule on (7416) yields: % 217.00/149.55 | (7378) all_297_0_1383 = 0 % 217.00/149.55 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.00/149.55 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.00/149.55 | % 217.00/149.55 | Instantiating (490) with all_354_0_1399 yields: % 217.00/149.55 | (7420) (all_354_0_1399 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_354_0_1399 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.00/149.55 | % 217.00/149.55 +-Applying beta-rule and splitting (7299), into two cases. % 217.00/149.55 |-Branch one: % 217.00/149.55 | (7421) all_305_0_1386 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.00/149.55 | % 217.00/149.55 | Applying alpha-rule on (7421) yields: % 217.00/149.55 | (7422) all_305_0_1386 = 0 % 217.00/149.55 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.00/149.55 | (495) all_165_2_96 = all_0_5_5 % 217.00/149.55 | % 217.00/149.55 | From (495) and (6142) follows: % 217.00/149.55 | (7425) mem(all_244_1_1231, all_0_5_5) = all_244_0_1230 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (8) with all_244_0_1230, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_1231 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, yields: % 217.00/149.55 | (7426) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.00/149.55 | % 217.00/149.55 +-Applying beta-rule and splitting (7371), into two cases. % 217.00/149.55 |-Branch one: % 217.00/149.55 | (7382) all_313_0_1390 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.00/149.55 | % 217.00/149.55 | Applying alpha-rule on (7382) yields: % 217.00/149.55 | (7383) all_313_0_1390 = 0 % 217.00/149.55 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.00/149.55 | % 217.00/149.55 +-Applying beta-rule and splitting (7426), into two cases. % 217.00/149.55 |-Branch one: % 217.00/149.55 | (6460) all_244_0_1230 = 0 % 217.00/149.55 | % 217.00/149.55 | Equations (6460) can reduce 6140 to: % 217.00/149.55 | (175) $false % 217.00/149.55 | % 217.00/149.55 |-The branch is then unsatisfiable % 217.00/149.55 |-Branch two: % 217.00/149.55 | (6140) ~ (all_244_0_1230 = 0) % 217.00/149.55 | (7433) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.00/149.55 | (507) all_212_1_107 = all_0_5_5 % 217.00/149.55 | % 217.00/149.55 | From (507) and (6141) follows: % 217.00/149.55 | (7435) mem(all_244_1_1231, all_0_5_5) = 0 % 217.00/149.55 | % 217.00/149.55 | Instantiating formula (65) with all_244_1_1231, all_0_5_5, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, mem(all_244_1_1231, all_0_5_5) = 0, yields: % 217.00/149.56 | (6460) all_244_0_1230 = 0 % 217.00/149.56 | % 217.00/149.56 | Equations (6460) can reduce 6140 to: % 217.00/149.56 | (175) $false % 217.00/149.56 | % 217.00/149.56 |-The branch is then unsatisfiable % 217.00/149.56 |-Branch two: % 217.00/149.56 | (7389) all_313_0_1390 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7389) yields: % 217.00/149.56 | (7383) all_313_0_1390 = 0 % 217.00/149.56 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.00/149.56 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.00/149.56 | % 217.00/149.56 | Instantiating (514) with all_384_0_1408 yields: % 217.00/149.56 | (7442) (all_384_0_1408 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_384_0_1408 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.00/149.56 | % 217.00/149.56 +-Applying beta-rule and splitting (7442), into two cases. % 217.00/149.56 |-Branch one: % 217.00/149.56 | (7443) all_384_0_1408 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7443) yields: % 217.00/149.56 | (7444) all_384_0_1408 = 0 % 217.00/149.56 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.00/149.56 | (524) all_212_1_107 = all_0_6_6 % 217.00/149.56 | % 217.00/149.56 | From (524) and (312) follows: % 217.00/149.56 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.00/149.56 | (212) all_85_0_72 = 0 % 217.00/149.56 | % 217.00/149.56 | Equations (212) can reduce 183 to: % 217.00/149.56 | (175) $false % 217.00/149.56 | % 217.00/149.56 |-The branch is then unsatisfiable % 217.00/149.56 |-Branch two: % 217.00/149.56 | (7450) all_384_0_1408 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7450) yields: % 217.00/149.56 | (7444) all_384_0_1408 = 0 % 217.00/149.56 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.00/149.56 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.00/149.56 | % 217.00/149.56 | Instantiating (531) with all_417_0_1422 yields: % 217.00/149.56 | (7454) (all_417_0_1422 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_1422 = 0 & mem(all_212_1_107, e) = 0) % 217.00/149.56 | % 217.00/149.56 +-Applying beta-rule and splitting (7454), into two cases. % 217.00/149.56 |-Branch one: % 217.00/149.56 | (7455) all_417_0_1422 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7455) yields: % 217.00/149.56 | (7456) all_417_0_1422 = 0 % 217.00/149.56 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.00/149.56 | (536) all_212_1_107 = e % 217.00/149.56 | % 217.00/149.56 | From (536) and (6141) follows: % 217.00/149.56 | (6440) mem(all_244_1_1231, e) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.00/149.56 | (538) $false % 217.00/149.56 | % 217.00/149.56 |-The branch is then unsatisfiable % 217.00/149.56 |-Branch two: % 217.00/149.56 | (7461) all_417_0_1422 = 0 & mem(all_212_1_107, e) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7461) yields: % 217.00/149.56 | (7456) all_417_0_1422 = 0 % 217.00/149.56 | (541) mem(all_212_1_107, e) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.00/149.56 | (538) $false % 217.00/149.56 | % 217.00/149.56 |-The branch is then unsatisfiable % 217.00/149.56 |-Branch two: % 217.00/149.56 | (7465) all_305_0_1386 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7465) yields: % 217.00/149.56 | (7422) all_305_0_1386 = 0 % 217.00/149.56 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.00/149.56 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.00/149.56 | % 217.00/149.56 | Instantiating (502) with all_362_0_1423 yields: % 217.00/149.56 | (7469) (all_362_0_1423 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_1423 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.00/149.56 | % 217.00/149.56 +-Applying beta-rule and splitting (7420), into two cases. % 217.00/149.56 |-Branch one: % 217.00/149.56 | (7470) all_354_0_1399 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7470) yields: % 217.00/149.56 | (7471) all_354_0_1399 = 0 % 217.00/149.56 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.00/149.56 | (519) all_181_1_101 = all_0_6_6 % 217.00/149.56 | % 217.00/149.56 | From (519) and (287) follows: % 217.00/149.56 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.00/149.56 | (212) all_85_0_72 = 0 % 217.00/149.56 | % 217.00/149.56 | Equations (212) can reduce 183 to: % 217.00/149.56 | (175) $false % 217.00/149.56 | % 217.00/149.56 |-The branch is then unsatisfiable % 217.00/149.56 |-Branch two: % 217.00/149.56 | (7477) all_354_0_1399 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7477) yields: % 217.00/149.56 | (7471) all_354_0_1399 = 0 % 217.00/149.56 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.00/149.56 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.00/149.56 | % 217.00/149.56 | Instantiating (546) with all_388_0_1429 yields: % 217.00/149.56 | (7481) (all_388_0_1429 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_388_0_1429 = 0 & mem(all_181_1_101, e) = 0) % 217.00/149.56 | % 217.00/149.56 +-Applying beta-rule and splitting (7469), into two cases. % 217.00/149.56 |-Branch one: % 217.00/149.56 | (7482) all_362_0_1423 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7482) yields: % 217.00/149.56 | (7483) all_362_0_1423 = 0 % 217.00/149.56 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.00/149.56 | (551) all_165_2_96 = all_0_6_6 % 217.00/149.56 | % 217.00/149.56 | From (551) and (303) follows: % 217.00/149.56 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.00/149.56 | (212) all_85_0_72 = 0 % 217.00/149.56 | % 217.00/149.56 | Equations (212) can reduce 183 to: % 217.00/149.56 | (175) $false % 217.00/149.56 | % 217.00/149.56 |-The branch is then unsatisfiable % 217.00/149.56 |-Branch two: % 217.00/149.56 | (7489) all_362_0_1423 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.00/149.56 | % 217.00/149.56 | Applying alpha-rule on (7489) yields: % 217.00/149.56 | (7483) all_362_0_1423 = 0 % 217.00/149.56 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.00/149.56 | % 217.00/149.56 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.00/149.56 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.00/149.56 | % 217.00/149.56 | Instantiating (583) with all_397_0_1431 yields: % 217.00/149.57 | (7493) (all_397_0_1431 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_1431 = 0 & mem(all_165_2_96, e) = 0) % 217.00/149.57 | % 217.00/149.57 +-Applying beta-rule and splitting (7481), into two cases. % 217.00/149.57 |-Branch one: % 217.00/149.57 | (7494) all_388_0_1429 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7494) yields: % 217.00/149.57 | (7495) all_388_0_1429 = 0 % 217.00/149.57 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.00/149.57 | (588) all_181_1_101 = e % 217.00/149.57 | % 217.00/149.57 | From (588) and (259) follows: % 217.00/149.57 | (589) mem(e, all_129_1_85) = all_181_0_100 % 217.00/149.57 | % 217.00/149.57 +-Applying beta-rule and splitting (7493), into two cases. % 217.00/149.57 |-Branch one: % 217.00/149.57 | (7499) all_397_0_1431 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7499) yields: % 217.00/149.57 | (7500) all_397_0_1431 = 0 % 217.00/149.57 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.00/149.57 | (593) all_165_2_96 = e % 217.00/149.57 | % 217.00/149.57 | From (593) and (248) follows: % 217.00/149.57 | (594) mem(e, all_129_1_85) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 217.00/149.57 | (526) all_181_0_100 = 0 % 217.00/149.57 | % 217.00/149.57 | Equations (526) can reduce 258 to: % 217.00/149.57 | (175) $false % 217.00/149.57 | % 217.00/149.57 |-The branch is then unsatisfiable % 217.00/149.57 |-Branch two: % 217.00/149.57 | (7506) all_397_0_1431 = 0 & mem(all_165_2_96, e) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7506) yields: % 217.00/149.57 | (7500) all_397_0_1431 = 0 % 217.00/149.57 | (599) mem(all_165_2_96, e) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.00/149.57 | (538) $false % 217.00/149.57 | % 217.00/149.57 |-The branch is then unsatisfiable % 217.00/149.57 |-Branch two: % 217.00/149.57 | (7510) all_388_0_1429 = 0 & mem(all_181_1_101, e) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7510) yields: % 217.00/149.57 | (7495) all_388_0_1429 = 0 % 217.00/149.57 | (603) mem(all_181_1_101, e) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.00/149.57 | (538) $false % 217.00/149.57 | % 217.00/149.57 |-The branch is then unsatisfiable % 217.00/149.57 |-Branch two: % 217.00/149.57 | (7514) all_281_0_1378 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7514) yields: % 217.00/149.57 | (7373) all_281_0_1378 = 0 % 217.00/149.57 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 217.00/149.57 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 217.00/149.57 | % 217.00/149.57 | Instantiating (7517) with all_332_0_1432 yields: % 217.00/149.57 | (7518) (all_332_0_1432 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_1432 = 0 & mem(all_85_1_73, e) = 0) % 217.00/149.57 | % 217.00/149.57 +-Applying beta-rule and splitting (7227), into two cases. % 217.00/149.57 |-Branch one: % 217.00/149.57 | (7377) all_297_0_1383 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7377) yields: % 217.00/149.57 | (7378) all_297_0_1383 = 0 % 217.00/149.57 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.00/149.57 | (483) all_181_1_101 = all_0_5_5 % 217.00/149.57 | % 217.00/149.57 | From (483) and (259) follows: % 217.00/149.57 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 217.00/149.57 | % 217.00/149.57 +-Applying beta-rule and splitting (7299), into two cases. % 217.00/149.57 |-Branch one: % 217.00/149.57 | (7421) all_305_0_1386 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7421) yields: % 217.00/149.57 | (7422) all_305_0_1386 = 0 % 217.00/149.57 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.00/149.57 | (495) all_165_2_96 = all_0_5_5 % 217.00/149.57 | % 217.00/149.57 | From (495) and (248) follows: % 217.00/149.57 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 217.00/149.57 | (526) all_181_0_100 = 0 % 217.00/149.57 | % 217.00/149.57 | Equations (526) can reduce 258 to: % 217.00/149.57 | (175) $false % 217.00/149.57 | % 217.00/149.57 |-The branch is then unsatisfiable % 217.00/149.57 |-Branch two: % 217.00/149.57 | (7465) all_305_0_1386 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7465) yields: % 217.00/149.57 | (7422) all_305_0_1386 = 0 % 217.00/149.57 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.00/149.57 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.00/149.57 | % 217.00/149.57 | Instantiating (502) with all_362_0_1433 yields: % 217.00/149.57 | (7535) (all_362_0_1433 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_1433 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.00/149.57 | % 217.00/149.57 +-Applying beta-rule and splitting (7371), into two cases. % 217.00/149.57 |-Branch one: % 217.00/149.57 | (7382) all_313_0_1390 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7382) yields: % 217.00/149.57 | (7383) all_313_0_1390 = 0 % 217.00/149.57 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.00/149.57 | (507) all_212_1_107 = all_0_5_5 % 217.00/149.57 | % 217.00/149.57 | From (507) and (281) follows: % 217.00/149.57 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 217.00/149.57 | (526) all_181_0_100 = 0 % 217.00/149.57 | % 217.00/149.57 | Equations (526) can reduce 258 to: % 217.00/149.57 | (175) $false % 217.00/149.57 | % 217.00/149.57 |-The branch is then unsatisfiable % 217.00/149.57 |-Branch two: % 217.00/149.57 | (7389) all_313_0_1390 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.00/149.57 | % 217.00/149.57 | Applying alpha-rule on (7389) yields: % 217.00/149.57 | (7383) all_313_0_1390 = 0 % 217.00/149.57 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.00/149.57 | % 217.00/149.57 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.00/149.57 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.00/149.57 | % 217.00/149.57 | Instantiating (514) with all_370_0_1434 yields: % 217.00/149.57 | (7547) (all_370_0_1434 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_370_0_1434 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.00/149.57 | % 217.00/149.57 +-Applying beta-rule and splitting (7518), into two cases. % 217.00/149.57 |-Branch one: % 217.00/149.57 | (7548) all_332_0_1432 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.00/149.57 | % 217.00/149.58 | Applying alpha-rule on (7548) yields: % 217.00/149.58 | (7549) all_332_0_1432 = 0 % 217.00/149.58 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.00/149.58 | (7551) all_85_1_73 = e % 217.00/149.58 | % 217.00/149.58 | From (7551) and (184) follows: % 217.00/149.58 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.00/149.58 | % 217.00/149.58 +-Applying beta-rule and splitting (7535), into two cases. % 217.00/149.58 |-Branch one: % 217.00/149.58 | (7553) all_362_0_1433 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.00/149.58 | % 217.00/149.58 | Applying alpha-rule on (7553) yields: % 217.00/149.58 | (7554) all_362_0_1433 = 0 % 217.00/149.58 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.00/149.58 | (551) all_165_2_96 = all_0_6_6 % 217.00/149.58 | % 217.00/149.58 | From (551) and (6142) follows: % 217.00/149.58 | (6455) mem(all_244_1_1231, all_0_6_6) = all_244_0_1230 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (8) with all_244_0_1230, all_0_6_6, all_66_0_64, e, all_244_1_1231 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, yields: % 217.00/149.58 | (6456) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 217.00/149.58 | % 217.00/149.58 +-Applying beta-rule and splitting (7547), into two cases. % 217.00/149.58 |-Branch one: % 217.00/149.58 | (7559) all_370_0_1434 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.00/149.58 | % 217.00/149.58 | Applying alpha-rule on (7559) yields: % 217.00/149.58 | (7560) all_370_0_1434 = 0 % 217.00/149.58 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.00/149.58 | % 217.00/149.58 +-Applying beta-rule and splitting (6456), into two cases. % 217.00/149.58 |-Branch one: % 217.00/149.58 | (6460) all_244_0_1230 = 0 % 217.00/149.58 | % 217.00/149.58 | Equations (6460) can reduce 6140 to: % 217.00/149.58 | (175) $false % 217.00/149.58 | % 217.00/149.58 |-The branch is then unsatisfiable % 217.00/149.58 |-Branch two: % 217.00/149.58 | (6140) ~ (all_244_0_1230 = 0) % 217.00/149.58 | (6463) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.00/149.58 | (524) all_212_1_107 = all_0_6_6 % 217.00/149.58 | % 217.00/149.58 | From (524) and (6141) follows: % 217.00/149.58 | (6465) mem(all_244_1_1231, all_0_6_6) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (65) with all_244_1_1231, all_0_6_6, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, mem(all_244_1_1231, all_0_6_6) = 0, yields: % 217.00/149.58 | (6460) all_244_0_1230 = 0 % 217.00/149.58 | % 217.00/149.58 | Equations (6460) can reduce 6140 to: % 217.00/149.58 | (175) $false % 217.00/149.58 | % 217.00/149.58 |-The branch is then unsatisfiable % 217.00/149.58 |-Branch two: % 217.00/149.58 | (7570) all_370_0_1434 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.00/149.58 | % 217.00/149.58 | Applying alpha-rule on (7570) yields: % 217.00/149.58 | (7560) all_370_0_1434 = 0 % 217.00/149.58 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.00/149.58 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.00/149.58 | % 217.00/149.58 | Instantiating (531) with all_411_0_1443 yields: % 217.00/149.58 | (7574) (all_411_0_1443 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_411_0_1443 = 0 & mem(all_212_1_107, e) = 0) % 217.00/149.58 | % 217.00/149.58 +-Applying beta-rule and splitting (7574), into two cases. % 217.00/149.58 |-Branch one: % 217.00/149.58 | (7575) all_411_0_1443 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.00/149.58 | % 217.00/149.58 | Applying alpha-rule on (7575) yields: % 217.00/149.58 | (7576) all_411_0_1443 = 0 % 217.00/149.58 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.00/149.58 | (536) all_212_1_107 = e % 217.00/149.58 | % 217.00/149.58 | From (536) and (6141) follows: % 217.00/149.58 | (6440) mem(all_244_1_1231, e) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.00/149.58 | (538) $false % 217.00/149.58 | % 217.00/149.58 |-The branch is then unsatisfiable % 217.00/149.58 |-Branch two: % 217.00/149.58 | (7581) all_411_0_1443 = 0 & mem(all_212_1_107, e) = 0 % 217.00/149.58 | % 217.00/149.58 | Applying alpha-rule on (7581) yields: % 217.00/149.58 | (7576) all_411_0_1443 = 0 % 217.00/149.58 | (541) mem(all_212_1_107, e) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.00/149.58 | (538) $false % 217.00/149.58 | % 217.00/149.58 |-The branch is then unsatisfiable % 217.00/149.58 |-Branch two: % 217.00/149.58 | (7585) all_362_0_1433 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.00/149.58 | % 217.00/149.58 | Applying alpha-rule on (7585) yields: % 217.00/149.58 | (7554) all_362_0_1433 = 0 % 217.00/149.58 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.00/149.58 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.00/149.58 | % 217.00/149.58 | Instantiating (583) with all_389_0_1446 yields: % 217.00/149.58 | (7589) (all_389_0_1446 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_389_0_1446 = 0 & mem(all_165_2_96, e) = 0) % 217.00/149.58 | % 217.00/149.58 +-Applying beta-rule and splitting (7589), into two cases. % 217.00/149.58 |-Branch one: % 217.00/149.58 | (7590) all_389_0_1446 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.00/149.58 | % 217.00/149.58 | Applying alpha-rule on (7590) yields: % 217.00/149.58 | (7591) all_389_0_1446 = 0 % 217.00/149.58 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.00/149.58 | % 217.00/149.58 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.00/149.58 | (593) all_165_2_96 = e % 217.00/149.58 | % 217.00/149.58 | From (593) and (303) follows: % 217.00/149.59 | (7594) mem(e, all_57_1_62) = 0 % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.00/149.59 | (212) all_85_0_72 = 0 % 217.00/149.59 | % 217.00/149.59 | Equations (212) can reduce 183 to: % 217.00/149.59 | (175) $false % 217.00/149.59 | % 217.00/149.59 |-The branch is then unsatisfiable % 217.00/149.59 |-Branch two: % 217.00/149.59 | (7597) all_389_0_1446 = 0 & mem(all_165_2_96, e) = 0 % 217.00/149.59 | % 217.00/149.59 | Applying alpha-rule on (7597) yields: % 217.00/149.59 | (7591) all_389_0_1446 = 0 % 217.00/149.59 | (599) mem(all_165_2_96, e) = 0 % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.00/149.59 | (538) $false % 217.00/149.59 | % 217.00/149.59 |-The branch is then unsatisfiable % 217.00/149.59 |-Branch two: % 217.00/149.59 | (7601) all_332_0_1432 = 0 & mem(all_85_1_73, e) = 0 % 217.00/149.59 | % 217.00/149.59 | Applying alpha-rule on (7601) yields: % 217.00/149.59 | (7549) all_332_0_1432 = 0 % 217.00/149.59 | (7603) mem(all_85_1_73, e) = 0 % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.00/149.59 | (538) $false % 217.00/149.59 | % 217.00/149.59 |-The branch is then unsatisfiable % 217.00/149.59 |-Branch two: % 217.00/149.59 | (7416) all_297_0_1383 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.00/149.59 | % 217.00/149.59 | Applying alpha-rule on (7416) yields: % 217.00/149.59 | (7378) all_297_0_1383 = 0 % 217.00/149.59 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.00/149.59 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.00/149.59 | % 217.00/149.59 | Instantiating (490) with all_351_0_1452 yields: % 217.00/149.59 | (7609) (all_351_0_1452 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_1452 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.00/149.59 | % 217.00/149.59 +-Applying beta-rule and splitting (7299), into two cases. % 217.00/149.59 |-Branch one: % 217.00/149.59 | (7421) all_305_0_1386 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.00/149.59 | % 217.00/149.59 | Applying alpha-rule on (7421) yields: % 217.00/149.59 | (7422) all_305_0_1386 = 0 % 217.00/149.59 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.00/149.59 | (495) all_165_2_96 = all_0_5_5 % 217.00/149.59 | % 217.00/149.59 | From (495) and (6142) follows: % 217.00/149.59 | (7425) mem(all_244_1_1231, all_0_5_5) = all_244_0_1230 % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (8) with all_244_0_1230, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_1231 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, yields: % 217.00/149.59 | (7426) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.00/149.59 | % 217.00/149.59 +-Applying beta-rule and splitting (7371), into two cases. % 217.00/149.59 |-Branch one: % 217.00/149.59 | (7382) all_313_0_1390 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.00/149.59 | % 217.00/149.59 | Applying alpha-rule on (7382) yields: % 217.00/149.59 | (7383) all_313_0_1390 = 0 % 217.00/149.59 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.00/149.59 | % 217.00/149.59 +-Applying beta-rule and splitting (7426), into two cases. % 217.00/149.59 |-Branch one: % 217.00/149.59 | (6460) all_244_0_1230 = 0 % 217.00/149.59 | % 217.00/149.59 | Equations (6460) can reduce 6140 to: % 217.00/149.59 | (175) $false % 217.00/149.59 | % 217.00/149.59 |-The branch is then unsatisfiable % 217.00/149.59 |-Branch two: % 217.00/149.59 | (6140) ~ (all_244_0_1230 = 0) % 217.00/149.59 | (7433) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.00/149.59 | (507) all_212_1_107 = all_0_5_5 % 217.00/149.59 | % 217.00/149.59 | From (507) and (6141) follows: % 217.00/149.59 | (7435) mem(all_244_1_1231, all_0_5_5) = 0 % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (65) with all_244_1_1231, all_0_5_5, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, mem(all_244_1_1231, all_0_5_5) = 0, yields: % 217.00/149.59 | (6460) all_244_0_1230 = 0 % 217.00/149.59 | % 217.00/149.59 | Equations (6460) can reduce 6140 to: % 217.00/149.59 | (175) $false % 217.00/149.59 | % 217.00/149.59 |-The branch is then unsatisfiable % 217.00/149.59 |-Branch two: % 217.00/149.59 | (7389) all_313_0_1390 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.00/149.59 | % 217.00/149.59 | Applying alpha-rule on (7389) yields: % 217.00/149.59 | (7383) all_313_0_1390 = 0 % 217.00/149.59 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.00/149.59 | % 217.00/149.59 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.00/149.59 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.00/149.59 | % 217.00/149.59 | Instantiating (514) with all_381_0_1461 yields: % 217.00/149.59 | (7631) (all_381_0_1461 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_381_0_1461 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.00/149.59 | % 217.00/149.59 +-Applying beta-rule and splitting (7518), into two cases. % 217.00/149.59 |-Branch one: % 217.00/149.59 | (7548) all_332_0_1432 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.00/149.59 | % 217.00/149.59 | Applying alpha-rule on (7548) yields: % 217.00/149.59 | (7549) all_332_0_1432 = 0 % 217.00/149.60 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.00/149.60 | (7551) all_85_1_73 = e % 217.00/149.60 | % 217.00/149.60 | From (7551) and (184) follows: % 217.00/149.60 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.00/149.60 | % 217.00/149.60 +-Applying beta-rule and splitting (7609), into two cases. % 217.00/149.60 |-Branch one: % 217.00/149.60 | (7637) all_351_0_1452 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7637) yields: % 217.00/149.60 | (7638) all_351_0_1452 = 0 % 217.00/149.60 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.00/149.60 | (519) all_181_1_101 = all_0_6_6 % 217.00/149.60 | % 217.00/149.60 | From (519) and (259) follows: % 217.00/149.60 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 217.00/149.60 | % 217.00/149.60 +-Applying beta-rule and splitting (7631), into two cases. % 217.00/149.60 |-Branch one: % 217.00/149.60 | (7642) all_381_0_1461 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7642) yields: % 217.00/149.60 | (7643) all_381_0_1461 = 0 % 217.00/149.60 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.00/149.60 | (524) all_212_1_107 = all_0_6_6 % 217.00/149.60 | % 217.00/149.60 | From (524) and (281) follows: % 217.00/149.60 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 217.00/149.60 | (526) all_181_0_100 = 0 % 217.00/149.60 | % 217.00/149.60 | Equations (526) can reduce 258 to: % 217.00/149.60 | (175) $false % 217.00/149.60 | % 217.00/149.60 |-The branch is then unsatisfiable % 217.00/149.60 |-Branch two: % 217.00/149.60 | (7649) all_381_0_1461 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7649) yields: % 217.00/149.60 | (7643) all_381_0_1461 = 0 % 217.00/149.60 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.00/149.60 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.00/149.60 | % 217.00/149.60 | Instantiating (531) with all_428_0_1468 yields: % 217.00/149.60 | (7653) (all_428_0_1468 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_428_0_1468 = 0 & mem(all_212_1_107, e) = 0) % 217.00/149.60 | % 217.00/149.60 +-Applying beta-rule and splitting (7653), into two cases. % 217.00/149.60 |-Branch one: % 217.00/149.60 | (7654) all_428_0_1468 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7654) yields: % 217.00/149.60 | (7655) all_428_0_1468 = 0 % 217.00/149.60 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.00/149.60 | (536) all_212_1_107 = e % 217.00/149.60 | % 217.00/149.60 | From (536) and (6141) follows: % 217.00/149.60 | (6440) mem(all_244_1_1231, e) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.00/149.60 | (538) $false % 217.00/149.60 | % 217.00/149.60 |-The branch is then unsatisfiable % 217.00/149.60 |-Branch two: % 217.00/149.60 | (7660) all_428_0_1468 = 0 & mem(all_212_1_107, e) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7660) yields: % 217.00/149.60 | (7655) all_428_0_1468 = 0 % 217.00/149.60 | (541) mem(all_212_1_107, e) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.00/149.60 | (538) $false % 217.00/149.60 | % 217.00/149.60 |-The branch is then unsatisfiable % 217.00/149.60 |-Branch two: % 217.00/149.60 | (7664) all_351_0_1452 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7664) yields: % 217.00/149.60 | (7638) all_351_0_1452 = 0 % 217.00/149.60 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.00/149.60 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.00/149.60 | % 217.00/149.60 | Instantiating (546) with all_417_0_1471 yields: % 217.00/149.60 | (7668) (all_417_0_1471 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_417_0_1471 = 0 & mem(all_181_1_101, e) = 0) % 217.00/149.60 | % 217.00/149.60 +-Applying beta-rule and splitting (7668), into two cases. % 217.00/149.60 |-Branch one: % 217.00/149.60 | (7669) all_417_0_1471 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7669) yields: % 217.00/149.60 | (7670) all_417_0_1471 = 0 % 217.00/149.60 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.00/149.60 | (588) all_181_1_101 = e % 217.00/149.60 | % 217.00/149.60 | From (588) and (287) follows: % 217.00/149.60 | (7594) mem(e, all_57_1_62) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.00/149.60 | (212) all_85_0_72 = 0 % 217.00/149.60 | % 217.00/149.60 | Equations (212) can reduce 183 to: % 217.00/149.60 | (175) $false % 217.00/149.60 | % 217.00/149.60 |-The branch is then unsatisfiable % 217.00/149.60 |-Branch two: % 217.00/149.60 | (7676) all_417_0_1471 = 0 & mem(all_181_1_101, e) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7676) yields: % 217.00/149.60 | (7670) all_417_0_1471 = 0 % 217.00/149.60 | (603) mem(all_181_1_101, e) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.00/149.60 | (538) $false % 217.00/149.60 | % 217.00/149.60 |-The branch is then unsatisfiable % 217.00/149.60 |-Branch two: % 217.00/149.60 | (7601) all_332_0_1432 = 0 & mem(all_85_1_73, e) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7601) yields: % 217.00/149.60 | (7549) all_332_0_1432 = 0 % 217.00/149.60 | (7603) mem(all_85_1_73, e) = 0 % 217.00/149.60 | % 217.00/149.60 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.00/149.60 | (538) $false % 217.00/149.60 | % 217.00/149.60 |-The branch is then unsatisfiable % 217.00/149.60 |-Branch two: % 217.00/149.60 | (7465) all_305_0_1386 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.00/149.60 | % 217.00/149.60 | Applying alpha-rule on (7465) yields: % 217.00/149.61 | (7422) all_305_0_1386 = 0 % 217.00/149.61 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.00/149.61 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.00/149.61 | % 217.00/149.61 | Instantiating (502) with all_359_0_1477 yields: % 217.00/149.61 | (7688) (all_359_0_1477 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_1477 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.00/149.61 | % 217.00/149.61 +-Applying beta-rule and splitting (7518), into two cases. % 217.00/149.61 |-Branch one: % 217.00/149.61 | (7548) all_332_0_1432 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7548) yields: % 217.00/149.61 | (7549) all_332_0_1432 = 0 % 217.00/149.61 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.00/149.61 | (7551) all_85_1_73 = e % 217.00/149.61 | % 217.00/149.61 | From (7551) and (184) follows: % 217.00/149.61 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.00/149.61 | % 217.00/149.61 +-Applying beta-rule and splitting (7609), into two cases. % 217.00/149.61 |-Branch one: % 217.00/149.61 | (7637) all_351_0_1452 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7637) yields: % 217.00/149.61 | (7638) all_351_0_1452 = 0 % 217.00/149.61 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.00/149.61 | (519) all_181_1_101 = all_0_6_6 % 217.00/149.61 | % 217.00/149.61 | From (519) and (259) follows: % 217.00/149.61 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 217.00/149.61 | % 217.00/149.61 +-Applying beta-rule and splitting (7688), into two cases. % 217.00/149.61 |-Branch one: % 217.00/149.61 | (7699) all_359_0_1477 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7699) yields: % 217.00/149.61 | (7700) all_359_0_1477 = 0 % 217.00/149.61 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.00/149.61 | (551) all_165_2_96 = all_0_6_6 % 217.00/149.61 | % 217.00/149.61 | From (551) and (248) follows: % 217.00/149.61 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 217.00/149.61 | (526) all_181_0_100 = 0 % 217.00/149.61 | % 217.00/149.61 | Equations (526) can reduce 258 to: % 217.00/149.61 | (175) $false % 217.00/149.61 | % 217.00/149.61 |-The branch is then unsatisfiable % 217.00/149.61 |-Branch two: % 217.00/149.61 | (7706) all_359_0_1477 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7706) yields: % 217.00/149.61 | (7700) all_359_0_1477 = 0 % 217.00/149.61 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.00/149.61 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.00/149.61 | % 217.00/149.61 | Instantiating (583) with all_408_0_1482 yields: % 217.00/149.61 | (7710) (all_408_0_1482 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_408_0_1482 = 0 & mem(all_165_2_96, e) = 0) % 217.00/149.61 | % 217.00/149.61 +-Applying beta-rule and splitting (7710), into two cases. % 217.00/149.61 |-Branch one: % 217.00/149.61 | (7711) all_408_0_1482 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7711) yields: % 217.00/149.61 | (7712) all_408_0_1482 = 0 % 217.00/149.61 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.00/149.61 | (593) all_165_2_96 = e % 217.00/149.61 | % 217.00/149.61 | From (593) and (303) follows: % 217.00/149.61 | (7594) mem(e, all_57_1_62) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.00/149.61 | (212) all_85_0_72 = 0 % 217.00/149.61 | % 217.00/149.61 | Equations (212) can reduce 183 to: % 217.00/149.61 | (175) $false % 217.00/149.61 | % 217.00/149.61 |-The branch is then unsatisfiable % 217.00/149.61 |-Branch two: % 217.00/149.61 | (7718) all_408_0_1482 = 0 & mem(all_165_2_96, e) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7718) yields: % 217.00/149.61 | (7712) all_408_0_1482 = 0 % 217.00/149.61 | (599) mem(all_165_2_96, e) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.00/149.61 | (538) $false % 217.00/149.61 | % 217.00/149.61 |-The branch is then unsatisfiable % 217.00/149.61 |-Branch two: % 217.00/149.61 | (7664) all_351_0_1452 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7664) yields: % 217.00/149.61 | (7638) all_351_0_1452 = 0 % 217.00/149.61 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.00/149.61 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.00/149.61 | % 217.00/149.61 | Instantiating (546) with all_397_0_1483 yields: % 217.00/149.61 | (7726) (all_397_0_1483 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_397_0_1483 = 0 & mem(all_181_1_101, e) = 0) % 217.00/149.61 | % 217.00/149.61 +-Applying beta-rule and splitting (7726), into two cases. % 217.00/149.61 |-Branch one: % 217.00/149.61 | (7727) all_397_0_1483 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7727) yields: % 217.00/149.61 | (7728) all_397_0_1483 = 0 % 217.00/149.61 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.00/149.61 | (588) all_181_1_101 = e % 217.00/149.61 | % 217.00/149.61 | From (588) and (287) follows: % 217.00/149.61 | (7594) mem(e, all_57_1_62) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.00/149.61 | (212) all_85_0_72 = 0 % 217.00/149.61 | % 217.00/149.61 | Equations (212) can reduce 183 to: % 217.00/149.61 | (175) $false % 217.00/149.61 | % 217.00/149.61 |-The branch is then unsatisfiable % 217.00/149.61 |-Branch two: % 217.00/149.61 | (7734) all_397_0_1483 = 0 & mem(all_181_1_101, e) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7734) yields: % 217.00/149.61 | (7728) all_397_0_1483 = 0 % 217.00/149.61 | (603) mem(all_181_1_101, e) = 0 % 217.00/149.61 | % 217.00/149.61 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.00/149.61 | (538) $false % 217.00/149.61 | % 217.00/149.61 |-The branch is then unsatisfiable % 217.00/149.61 |-Branch two: % 217.00/149.61 | (7601) all_332_0_1432 = 0 & mem(all_85_1_73, e) = 0 % 217.00/149.61 | % 217.00/149.61 | Applying alpha-rule on (7601) yields: % 217.00/149.61 | (7549) all_332_0_1432 = 0 % 217.00/149.62 | (7603) mem(all_85_1_73, e) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.00/149.62 | (538) $false % 217.00/149.62 | % 217.00/149.62 |-The branch is then unsatisfiable % 217.00/149.62 |-Branch two: % 217.00/149.62 | (6508) all_227_0_1228 = 0 & mem(all_135_1_87, all_0_4_4) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (6508) yields: % 217.00/149.62 | (6163) all_227_0_1228 = 0 % 217.00/149.62 | (364) mem(all_135_1_87, all_0_4_4) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_135_1_87, all_0_4_4) = 0, yields: % 217.00/149.62 | (365) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_5_5) = 0)) % 217.00/149.62 | % 217.00/149.62 | Instantiating (365) with all_289_0_1494 yields: % 217.00/149.62 | (7746) (all_289_0_1494 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (all_289_0_1494 = 0 & mem(all_135_1_87, all_0_5_5) = 0) % 217.00/149.62 | % 217.00/149.62 +-Applying beta-rule and splitting (6146), into two cases. % 217.00/149.62 |-Branch one: % 217.00/149.62 | (6167) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (6167) yields: % 217.00/149.62 | (6168) all_252_0_1232 = 0 % 217.00/149.62 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 217.00/149.62 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 217.00/149.62 | % 217.00/149.62 | Instantiating (370) with all_297_0_1495 yields: % 217.00/149.62 | (7751) (all_297_0_1495 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_297_0_1495 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 217.00/149.62 | % 217.00/149.62 +-Applying beta-rule and splitting (6149), into two cases. % 217.00/149.62 |-Branch one: % 217.00/149.62 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (6239) yields: % 217.00/149.62 | (6240) all_259_0_1233 = 0 % 217.00/149.62 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 217.00/149.62 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 217.00/149.62 | % 217.00/149.62 | Instantiating (406) with all_305_0_1496 yields: % 217.00/149.62 | (7756) (all_305_0_1496 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_305_0_1496 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 217.00/149.62 | % 217.00/149.62 +-Applying beta-rule and splitting (6156), into two cases. % 217.00/149.62 |-Branch one: % 217.00/149.62 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (6172) yields: % 217.00/149.62 | (6173) all_273_0_1235 = 0 % 217.00/149.62 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 217.00/149.62 | (339) all_110_1_81 = all_0_2_2 % 217.00/149.62 | % 217.00/149.62 | From (339) and (210) follows: % 217.00/149.62 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 217.00/149.62 | % 217.00/149.62 +-Applying beta-rule and splitting (7751), into two cases. % 217.00/149.62 |-Branch one: % 217.00/149.62 | (7762) all_297_0_1495 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (7762) yields: % 217.00/149.62 | (7763) all_297_0_1495 = 0 % 217.00/149.62 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.00/149.62 | (387) all_181_1_101 = all_0_2_2 % 217.00/149.62 | % 217.00/149.62 | From (387) and (267) follows: % 217.00/149.62 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 217.00/149.62 | (233) all_110_0_80 = 0 % 217.00/149.62 | % 217.00/149.62 | Equations (233) can reduce 209 to: % 217.00/149.62 | (175) $false % 217.00/149.62 | % 217.00/149.62 |-The branch is then unsatisfiable % 217.00/149.62 |-Branch two: % 217.00/149.62 | (7769) all_297_0_1495 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (7769) yields: % 217.00/149.62 | (7763) all_297_0_1495 = 0 % 217.00/149.62 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.00/149.62 | (394) all_181_1_101 = all_0_3_3 % 217.00/149.62 | % 217.00/149.62 | From (394) and (259) follows: % 217.00/149.62 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 217.00/149.62 | % 217.00/149.62 +-Applying beta-rule and splitting (7756), into two cases. % 217.00/149.62 |-Branch one: % 217.00/149.62 | (7774) all_305_0_1496 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (7774) yields: % 217.00/149.62 | (7775) all_305_0_1496 = 0 % 217.00/149.62 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.00/149.62 | (423) all_165_2_96 = all_0_2_2 % 217.00/149.62 | % 217.00/149.62 | From (423) and (288) follows: % 217.00/149.62 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 217.00/149.62 | (233) all_110_0_80 = 0 % 217.00/149.62 | % 217.00/149.62 | Equations (233) can reduce 209 to: % 217.00/149.62 | (175) $false % 217.00/149.62 | % 217.00/149.62 |-The branch is then unsatisfiable % 217.00/149.62 |-Branch two: % 217.00/149.62 | (7781) all_305_0_1496 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (7781) yields: % 217.00/149.62 | (7775) all_305_0_1496 = 0 % 217.00/149.62 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.00/149.62 | (430) all_165_2_96 = all_0_3_3 % 217.00/149.62 | % 217.00/149.62 | From (430) and (248) follows: % 217.00/149.62 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 217.00/149.62 | (526) all_181_0_100 = 0 % 217.00/149.62 | % 217.00/149.62 | Equations (526) can reduce 258 to: % 217.00/149.62 | (175) $false % 217.00/149.62 | % 217.00/149.62 |-The branch is then unsatisfiable % 217.00/149.62 |-Branch two: % 217.00/149.62 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (6203) yields: % 217.00/149.62 | (6173) all_273_0_1235 = 0 % 217.00/149.62 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 217.00/149.62 | (346) all_110_1_81 = all_0_3_3 % 217.00/149.62 | % 217.00/149.62 | From (346) and (210) follows: % 217.00/149.62 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 217.00/149.62 | % 217.00/149.62 +-Applying beta-rule and splitting (7751), into two cases. % 217.00/149.62 |-Branch one: % 217.00/149.62 | (7762) all_297_0_1495 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.00/149.62 | % 217.00/149.62 | Applying alpha-rule on (7762) yields: % 217.00/149.62 | (7763) all_297_0_1495 = 0 % 217.00/149.62 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.00/149.62 | % 217.00/149.62 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.00/149.62 | (387) all_181_1_101 = all_0_2_2 % 217.00/149.62 | % 217.00/149.62 | From (387) and (259) follows: % 217.00/149.62 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 217.00/149.62 | % 217.00/149.62 +-Applying beta-rule and splitting (7756), into two cases. % 217.00/149.62 |-Branch one: % 217.20/149.62 | (7774) all_305_0_1496 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.20/149.62 | % 217.20/149.62 | Applying alpha-rule on (7774) yields: % 217.20/149.62 | (7775) all_305_0_1496 = 0 % 217.20/149.62 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.20/149.62 | % 217.20/149.62 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.20/149.63 | (423) all_165_2_96 = all_0_2_2 % 217.20/149.63 | % 217.20/149.63 | From (423) and (248) follows: % 217.20/149.63 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 217.20/149.63 | (526) all_181_0_100 = 0 % 217.20/149.63 | % 217.20/149.63 | Equations (526) can reduce 258 to: % 217.20/149.63 | (175) $false % 217.20/149.63 | % 217.20/149.63 |-The branch is then unsatisfiable % 217.20/149.63 |-Branch two: % 217.20/149.63 | (7781) all_305_0_1496 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (7781) yields: % 217.20/149.63 | (7775) all_305_0_1496 = 0 % 217.20/149.63 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.20/149.63 | (430) all_165_2_96 = all_0_3_3 % 217.20/149.63 | % 217.20/149.63 | From (430) and (288) follows: % 217.20/149.63 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 217.20/149.63 | (233) all_110_0_80 = 0 % 217.20/149.63 | % 217.20/149.63 | Equations (233) can reduce 209 to: % 217.20/149.63 | (175) $false % 217.20/149.63 | % 217.20/149.63 |-The branch is then unsatisfiable % 217.20/149.63 |-Branch two: % 217.20/149.63 | (7769) all_297_0_1495 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (7769) yields: % 217.20/149.63 | (7763) all_297_0_1495 = 0 % 217.20/149.63 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.20/149.63 | (394) all_181_1_101 = all_0_3_3 % 217.20/149.63 | % 217.20/149.63 | From (394) and (267) follows: % 217.20/149.63 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 217.20/149.63 | (233) all_110_0_80 = 0 % 217.20/149.63 | % 217.20/149.63 | Equations (233) can reduce 209 to: % 217.20/149.63 | (175) $false % 217.20/149.63 | % 217.20/149.63 |-The branch is then unsatisfiable % 217.20/149.63 |-Branch two: % 217.20/149.63 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (6306) yields: % 217.20/149.63 | (6240) all_259_0_1233 = 0 % 217.20/149.63 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 217.20/149.63 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 217.20/149.63 | % 217.20/149.63 | Instantiating (437) with all_305_0_1498 yields: % 217.20/149.63 | (7823) (all_305_0_1498 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_305_0_1498 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 217.20/149.63 | % 217.20/149.63 +-Applying beta-rule and splitting (6151), into two cases. % 217.20/149.63 |-Branch one: % 217.20/149.63 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (6311) yields: % 217.20/149.63 | (6312) all_265_0_1234 = 0 % 217.20/149.63 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 217.20/149.63 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 217.20/149.63 | % 217.20/149.63 | Instantiating (442) with all_313_0_1499 yields: % 217.20/149.63 | (7828) (all_313_0_1499 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_313_0_1499 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 217.20/149.63 | % 217.20/149.63 +-Applying beta-rule and splitting (6156), into two cases. % 217.20/149.63 |-Branch one: % 217.20/149.63 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (6172) yields: % 217.20/149.63 | (6173) all_273_0_1235 = 0 % 217.20/149.63 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 217.20/149.63 | (339) all_110_1_81 = all_0_2_2 % 217.20/149.63 | % 217.20/149.63 | From (339) and (210) follows: % 217.20/149.63 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 217.20/149.63 | % 217.20/149.63 +-Applying beta-rule and splitting (7751), into two cases. % 217.20/149.63 |-Branch one: % 217.20/149.63 | (7762) all_297_0_1495 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (7762) yields: % 217.20/149.63 | (7763) all_297_0_1495 = 0 % 217.20/149.63 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.20/149.63 | (387) all_181_1_101 = all_0_2_2 % 217.20/149.63 | % 217.20/149.63 | From (387) and (267) follows: % 217.20/149.63 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 217.20/149.63 | (233) all_110_0_80 = 0 % 217.20/149.63 | % 217.20/149.63 | Equations (233) can reduce 209 to: % 217.20/149.63 | (175) $false % 217.20/149.63 | % 217.20/149.63 |-The branch is then unsatisfiable % 217.20/149.63 |-Branch two: % 217.20/149.63 | (7769) all_297_0_1495 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (7769) yields: % 217.20/149.63 | (7763) all_297_0_1495 = 0 % 217.20/149.63 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.20/149.63 | (394) all_181_1_101 = all_0_3_3 % 217.20/149.63 | % 217.20/149.63 | From (394) and (259) follows: % 217.20/149.63 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 217.20/149.63 | % 217.20/149.63 +-Applying beta-rule and splitting (7828), into two cases. % 217.20/149.63 |-Branch one: % 217.20/149.63 | (7846) all_313_0_1499 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (7846) yields: % 217.20/149.63 | (7847) all_313_0_1499 = 0 % 217.20/149.63 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.20/149.63 | (459) all_212_1_107 = all_0_2_2 % 217.20/149.63 | % 217.20/149.63 | From (459) and (301) follows: % 217.20/149.63 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 217.20/149.63 | (233) all_110_0_80 = 0 % 217.20/149.63 | % 217.20/149.63 | Equations (233) can reduce 209 to: % 217.20/149.63 | (175) $false % 217.20/149.63 | % 217.20/149.63 |-The branch is then unsatisfiable % 217.20/149.63 |-Branch two: % 217.20/149.63 | (7853) all_313_0_1499 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (7853) yields: % 217.20/149.63 | (7847) all_313_0_1499 = 0 % 217.20/149.63 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.20/149.63 | (466) all_212_1_107 = all_0_3_3 % 217.20/149.63 | % 217.20/149.63 | From (466) and (281) follows: % 217.20/149.63 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 217.20/149.63 | (526) all_181_0_100 = 0 % 217.20/149.63 | % 217.20/149.63 | Equations (526) can reduce 258 to: % 217.20/149.63 | (175) $false % 217.20/149.63 | % 217.20/149.63 |-The branch is then unsatisfiable % 217.20/149.63 |-Branch two: % 217.20/149.63 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (6203) yields: % 217.20/149.63 | (6173) all_273_0_1235 = 0 % 217.20/149.63 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 217.20/149.63 | (346) all_110_1_81 = all_0_3_3 % 217.20/149.63 | % 217.20/149.63 | From (346) and (210) follows: % 217.20/149.63 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 217.20/149.63 | % 217.20/149.63 +-Applying beta-rule and splitting (7751), into two cases. % 217.20/149.63 |-Branch one: % 217.20/149.63 | (7762) all_297_0_1495 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (7762) yields: % 217.20/149.63 | (7763) all_297_0_1495 = 0 % 217.20/149.63 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.20/149.63 | (387) all_181_1_101 = all_0_2_2 % 217.20/149.63 | % 217.20/149.63 | From (387) and (259) follows: % 217.20/149.63 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 217.20/149.63 | % 217.20/149.63 +-Applying beta-rule and splitting (7828), into two cases. % 217.20/149.63 |-Branch one: % 217.20/149.63 | (7846) all_313_0_1499 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.20/149.63 | % 217.20/149.63 | Applying alpha-rule on (7846) yields: % 217.20/149.64 | (7847) all_313_0_1499 = 0 % 217.20/149.64 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.20/149.64 | (459) all_212_1_107 = all_0_2_2 % 217.20/149.64 | % 217.20/149.64 | From (459) and (281) follows: % 217.20/149.64 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 217.20/149.64 | (526) all_181_0_100 = 0 % 217.20/149.64 | % 217.20/149.64 | Equations (526) can reduce 258 to: % 217.20/149.64 | (175) $false % 217.20/149.64 | % 217.20/149.64 |-The branch is then unsatisfiable % 217.20/149.64 |-Branch two: % 217.20/149.64 | (7853) all_313_0_1499 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7853) yields: % 217.20/149.64 | (7847) all_313_0_1499 = 0 % 217.20/149.64 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.20/149.64 | (466) all_212_1_107 = all_0_3_3 % 217.20/149.64 | % 217.20/149.64 | From (466) and (301) follows: % 217.20/149.64 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 217.20/149.64 | (233) all_110_0_80 = 0 % 217.20/149.64 | % 217.20/149.64 | Equations (233) can reduce 209 to: % 217.20/149.64 | (175) $false % 217.20/149.64 | % 217.20/149.64 |-The branch is then unsatisfiable % 217.20/149.64 |-Branch two: % 217.20/149.64 | (7769) all_297_0_1495 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7769) yields: % 217.20/149.64 | (7763) all_297_0_1495 = 0 % 217.20/149.64 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.20/149.64 | (394) all_181_1_101 = all_0_3_3 % 217.20/149.64 | % 217.20/149.64 | From (394) and (267) follows: % 217.20/149.64 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 217.20/149.64 | (233) all_110_0_80 = 0 % 217.20/149.64 | % 217.20/149.64 | Equations (233) can reduce 209 to: % 217.20/149.64 | (175) $false % 217.20/149.64 | % 217.20/149.64 |-The branch is then unsatisfiable % 217.20/149.64 |-Branch two: % 217.20/149.64 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (6378) yields: % 217.20/149.64 | (6312) all_265_0_1234 = 0 % 217.20/149.64 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 217.20/149.64 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 217.20/149.64 | % 217.20/149.64 | Instantiating (473) with all_313_0_1502 yields: % 217.20/149.64 | (7895) (all_313_0_1502 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_313_0_1502 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 217.20/149.64 | % 217.20/149.64 +-Applying beta-rule and splitting (7150), into two cases. % 217.20/149.64 |-Branch one: % 217.20/149.64 | (7372) all_281_0_1378 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7372) yields: % 217.20/149.64 | (7373) all_281_0_1378 = 0 % 217.20/149.64 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 217.20/149.64 | (7375) all_85_1_73 = all_0_6_6 % 217.20/149.64 | % 217.20/149.64 | From (7375) and (184) follows: % 217.20/149.64 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 217.20/149.64 | % 217.20/149.64 +-Applying beta-rule and splitting (7746), into two cases. % 217.20/149.64 |-Branch one: % 217.20/149.64 | (7901) all_289_0_1494 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7901) yields: % 217.20/149.64 | (7902) all_289_0_1494 = 0 % 217.20/149.64 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.20/149.64 | (478) all_135_1_87 = all_0_5_5 % 217.20/149.64 | % 217.20/149.64 | From (478) and (231) follows: % 217.20/149.64 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 217.20/149.64 | % 217.20/149.64 +-Applying beta-rule and splitting (7895), into two cases. % 217.20/149.64 |-Branch one: % 217.20/149.64 | (7906) all_313_0_1502 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7906) yields: % 217.20/149.64 | (7907) all_313_0_1502 = 0 % 217.20/149.64 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.20/149.64 | (507) all_212_1_107 = all_0_5_5 % 217.20/149.64 | % 217.20/149.64 | From (507) and (286) follows: % 217.20/149.64 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.20/149.64 | (261) all_135_0_86 = 0 % 217.20/149.64 | % 217.20/149.64 | Equations (261) can reduce 230 to: % 217.20/149.64 | (175) $false % 217.20/149.64 | % 217.20/149.64 |-The branch is then unsatisfiable % 217.20/149.64 |-Branch two: % 217.20/149.64 | (7913) all_313_0_1502 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7913) yields: % 217.20/149.64 | (7907) all_313_0_1502 = 0 % 217.20/149.64 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.20/149.64 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.20/149.64 | % 217.20/149.64 | Instantiating (514) with all_373_0_1504 yields: % 217.20/149.64 | (7917) (all_373_0_1504 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_1504 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.20/149.64 | % 217.20/149.64 +-Applying beta-rule and splitting (7917), into two cases. % 217.20/149.64 |-Branch one: % 217.20/149.64 | (7918) all_373_0_1504 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7918) yields: % 217.20/149.64 | (7919) all_373_0_1504 = 0 % 217.20/149.64 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.20/149.64 | (524) all_212_1_107 = all_0_6_6 % 217.20/149.64 | % 217.20/149.64 | From (524) and (312) follows: % 217.20/149.64 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.20/149.64 | (212) all_85_0_72 = 0 % 217.20/149.64 | % 217.20/149.64 | Equations (212) can reduce 183 to: % 217.20/149.64 | (175) $false % 217.20/149.64 | % 217.20/149.64 |-The branch is then unsatisfiable % 217.20/149.64 |-Branch two: % 217.20/149.64 | (7925) all_373_0_1504 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7925) yields: % 217.20/149.64 | (7919) all_373_0_1504 = 0 % 217.20/149.64 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.20/149.64 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.20/149.64 | % 217.20/149.64 | Instantiating (531) with all_389_0_1506 yields: % 217.20/149.64 | (7929) (all_389_0_1506 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_1506 = 0 & mem(all_212_1_107, e) = 0) % 217.20/149.64 | % 217.20/149.64 +-Applying beta-rule and splitting (7929), into two cases. % 217.20/149.64 |-Branch one: % 217.20/149.64 | (7930) all_389_0_1506 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.20/149.64 | % 217.20/149.64 | Applying alpha-rule on (7930) yields: % 217.20/149.64 | (7931) all_389_0_1506 = 0 % 217.20/149.64 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.20/149.64 | % 217.20/149.64 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.20/149.64 | (536) all_212_1_107 = e % 217.20/149.64 | % 217.20/149.64 | From (536) and (6141) follows: % 217.20/149.65 | (6440) mem(all_244_1_1231, e) = 0 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.20/149.65 | (538) $false % 217.20/149.65 | % 217.20/149.65 |-The branch is then unsatisfiable % 217.20/149.65 |-Branch two: % 217.20/149.65 | (7936) all_389_0_1506 = 0 & mem(all_212_1_107, e) = 0 % 217.20/149.65 | % 217.20/149.65 | Applying alpha-rule on (7936) yields: % 217.20/149.65 | (7931) all_389_0_1506 = 0 % 217.20/149.65 | (541) mem(all_212_1_107, e) = 0 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.20/149.65 | (538) $false % 217.20/149.65 | % 217.20/149.65 |-The branch is then unsatisfiable % 217.20/149.65 |-Branch two: % 217.20/149.65 | (7940) all_289_0_1494 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.20/149.65 | % 217.20/149.65 | Applying alpha-rule on (7940) yields: % 217.20/149.65 | (7902) all_289_0_1494 = 0 % 217.20/149.65 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.20/149.65 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.20/149.65 | % 217.20/149.65 | Instantiating (608) with all_343_0_1511 yields: % 217.20/149.65 | (7944) (all_343_0_1511 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_343_0_1511 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.20/149.65 | % 217.20/149.65 +-Applying beta-rule and splitting (7823), into two cases. % 217.20/149.65 |-Branch one: % 217.20/149.65 | (7945) all_305_0_1498 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.20/149.65 | % 217.20/149.65 | Applying alpha-rule on (7945) yields: % 217.20/149.65 | (7946) all_305_0_1498 = 0 % 217.20/149.65 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.20/149.65 | (495) all_165_2_96 = all_0_5_5 % 217.20/149.65 | % 217.20/149.65 | From (495) and (6142) follows: % 217.20/149.65 | (7425) mem(all_244_1_1231, all_0_5_5) = all_244_0_1230 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (8) with all_244_0_1230, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_1231 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, yields: % 217.20/149.65 | (7426) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.20/149.65 | % 217.20/149.65 +-Applying beta-rule and splitting (7895), into two cases. % 217.20/149.65 |-Branch one: % 217.20/149.65 | (7906) all_313_0_1502 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.20/149.65 | % 217.20/149.65 | Applying alpha-rule on (7906) yields: % 217.20/149.65 | (7907) all_313_0_1502 = 0 % 217.20/149.65 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.20/149.65 | % 217.20/149.65 +-Applying beta-rule and splitting (7426), into two cases. % 217.20/149.65 |-Branch one: % 217.20/149.65 | (6460) all_244_0_1230 = 0 % 217.20/149.65 | % 217.20/149.65 | Equations (6460) can reduce 6140 to: % 217.20/149.65 | (175) $false % 217.20/149.65 | % 217.20/149.65 |-The branch is then unsatisfiable % 217.20/149.65 |-Branch two: % 217.20/149.65 | (6140) ~ (all_244_0_1230 = 0) % 217.20/149.65 | (7433) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.20/149.65 | (507) all_212_1_107 = all_0_5_5 % 217.20/149.65 | % 217.20/149.65 | From (507) and (6141) follows: % 217.20/149.65 | (7435) mem(all_244_1_1231, all_0_5_5) = 0 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (65) with all_244_1_1231, all_0_5_5, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, mem(all_244_1_1231, all_0_5_5) = 0, yields: % 217.20/149.65 | (6460) all_244_0_1230 = 0 % 217.20/149.65 | % 217.20/149.65 | Equations (6460) can reduce 6140 to: % 217.20/149.65 | (175) $false % 217.20/149.65 | % 217.20/149.65 |-The branch is then unsatisfiable % 217.20/149.65 |-Branch two: % 217.20/149.65 | (7913) all_313_0_1502 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.20/149.65 | % 217.20/149.65 | Applying alpha-rule on (7913) yields: % 217.20/149.65 | (7907) all_313_0_1502 = 0 % 217.20/149.65 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.20/149.65 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.20/149.65 | % 217.20/149.65 | Instantiating (514) with all_384_0_1520 yields: % 217.20/149.65 | (7966) (all_384_0_1520 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_384_0_1520 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.20/149.65 | % 217.20/149.65 +-Applying beta-rule and splitting (7966), into two cases. % 217.20/149.65 |-Branch one: % 217.20/149.65 | (7967) all_384_0_1520 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.20/149.65 | % 217.20/149.65 | Applying alpha-rule on (7967) yields: % 217.20/149.65 | (7968) all_384_0_1520 = 0 % 217.20/149.65 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.20/149.65 | (524) all_212_1_107 = all_0_6_6 % 217.20/149.65 | % 217.20/149.65 | From (524) and (312) follows: % 217.20/149.65 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.20/149.65 | % 217.20/149.65 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.20/149.65 | (212) all_85_0_72 = 0 % 217.20/149.65 | % 217.20/149.65 | Equations (212) can reduce 183 to: % 217.20/149.65 | (175) $false % 217.20/149.65 | % 217.20/149.65 |-The branch is then unsatisfiable % 217.20/149.65 |-Branch two: % 217.20/149.65 | (7974) all_384_0_1520 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.20/149.65 | % 217.20/149.66 | Applying alpha-rule on (7974) yields: % 217.20/149.66 | (7968) all_384_0_1520 = 0 % 217.20/149.66 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.20/149.66 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.20/149.66 | % 217.20/149.66 | Instantiating (531) with all_417_0_1534 yields: % 217.20/149.66 | (7978) (all_417_0_1534 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_1534 = 0 & mem(all_212_1_107, e) = 0) % 217.20/149.66 | % 217.20/149.66 +-Applying beta-rule and splitting (7978), into two cases. % 217.20/149.66 |-Branch one: % 217.20/149.66 | (7979) all_417_0_1534 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.20/149.66 | % 217.20/149.66 | Applying alpha-rule on (7979) yields: % 217.20/149.66 | (7980) all_417_0_1534 = 0 % 217.20/149.66 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.20/149.66 | (536) all_212_1_107 = e % 217.20/149.66 | % 217.20/149.66 | From (536) and (6141) follows: % 217.20/149.66 | (6440) mem(all_244_1_1231, e) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.20/149.66 | (538) $false % 217.20/149.66 | % 217.20/149.66 |-The branch is then unsatisfiable % 217.20/149.66 |-Branch two: % 217.20/149.66 | (7985) all_417_0_1534 = 0 & mem(all_212_1_107, e) = 0 % 217.20/149.66 | % 217.20/149.66 | Applying alpha-rule on (7985) yields: % 217.20/149.66 | (7980) all_417_0_1534 = 0 % 217.20/149.66 | (541) mem(all_212_1_107, e) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.20/149.66 | (538) $false % 217.20/149.66 | % 217.20/149.66 |-The branch is then unsatisfiable % 217.20/149.66 |-Branch two: % 217.20/149.66 | (7989) all_305_0_1498 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.20/149.66 | % 217.20/149.66 | Applying alpha-rule on (7989) yields: % 217.20/149.66 | (7946) all_305_0_1498 = 0 % 217.20/149.66 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.20/149.66 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.20/149.66 | % 217.20/149.66 | Instantiating (502) with all_362_0_1535 yields: % 217.20/149.66 | (7993) (all_362_0_1535 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_1535 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.20/149.66 | % 217.20/149.66 +-Applying beta-rule and splitting (7944), into two cases. % 217.20/149.66 |-Branch one: % 217.20/149.66 | (7994) all_343_0_1511 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.20/149.66 | % 217.20/149.66 | Applying alpha-rule on (7994) yields: % 217.20/149.66 | (7995) all_343_0_1511 = 0 % 217.20/149.66 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.20/149.66 | (642) all_135_1_87 = all_0_6_6 % 217.20/149.66 | % 217.20/149.66 | From (642) and (241) follows: % 217.20/149.66 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.20/149.66 | (212) all_85_0_72 = 0 % 217.20/149.66 | % 217.20/149.66 | Equations (212) can reduce 183 to: % 217.20/149.66 | (175) $false % 217.20/149.66 | % 217.20/149.66 |-The branch is then unsatisfiable % 217.20/149.66 |-Branch two: % 217.20/149.66 | (8001) all_343_0_1511 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.20/149.66 | % 217.20/149.66 | Applying alpha-rule on (8001) yields: % 217.20/149.66 | (7995) all_343_0_1511 = 0 % 217.20/149.66 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.20/149.66 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.20/149.66 | % 217.20/149.66 | Instantiating (669) with all_388_0_1541 yields: % 217.20/149.66 | (8005) (all_388_0_1541 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_388_0_1541 = 0 & mem(all_135_1_87, e) = 0) % 217.20/149.66 | % 217.20/149.66 +-Applying beta-rule and splitting (7993), into two cases. % 217.20/149.66 |-Branch one: % 217.20/149.66 | (8006) all_362_0_1535 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.20/149.66 | % 217.20/149.66 | Applying alpha-rule on (8006) yields: % 217.20/149.66 | (8007) all_362_0_1535 = 0 % 217.20/149.66 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.20/149.66 | (551) all_165_2_96 = all_0_6_6 % 217.20/149.66 | % 217.20/149.66 | From (551) and (303) follows: % 217.20/149.66 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.20/149.66 | (212) all_85_0_72 = 0 % 217.20/149.66 | % 217.20/149.66 | Equations (212) can reduce 183 to: % 217.20/149.66 | (175) $false % 217.20/149.66 | % 217.20/149.66 |-The branch is then unsatisfiable % 217.20/149.66 |-Branch two: % 217.20/149.66 | (8013) all_362_0_1535 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.20/149.66 | % 217.20/149.66 | Applying alpha-rule on (8013) yields: % 217.20/149.66 | (8007) all_362_0_1535 = 0 % 217.20/149.66 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.20/149.66 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.20/149.66 | % 217.20/149.66 | Instantiating (583) with all_397_0_1543 yields: % 217.20/149.66 | (8017) (all_397_0_1543 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_1543 = 0 & mem(all_165_2_96, e) = 0) % 217.20/149.66 | % 217.20/149.66 +-Applying beta-rule and splitting (8005), into two cases. % 217.20/149.66 |-Branch one: % 217.20/149.66 | (8018) all_388_0_1541 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.20/149.66 | % 217.20/149.66 | Applying alpha-rule on (8018) yields: % 217.20/149.66 | (8019) all_388_0_1541 = 0 % 217.20/149.66 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.20/149.66 | % 217.20/149.66 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.20/149.66 | (711) all_135_1_87 = e % 217.20/149.66 | % 217.20/149.66 | From (711) and (231) follows: % 217.20/149.67 | (712) mem(e, all_99_1_77) = all_135_0_86 % 217.20/149.67 | % 217.20/149.67 +-Applying beta-rule and splitting (8017), into two cases. % 217.20/149.67 |-Branch one: % 217.20/149.67 | (8023) all_397_0_1543 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (8023) yields: % 217.20/149.67 | (8024) all_397_0_1543 = 0 % 217.20/149.67 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.20/149.67 | (593) all_165_2_96 = e % 217.20/149.67 | % 217.20/149.67 | From (593) and (268) follows: % 217.20/149.67 | (717) mem(e, all_99_1_77) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 217.20/149.67 | (261) all_135_0_86 = 0 % 217.20/149.67 | % 217.20/149.67 | Equations (261) can reduce 230 to: % 217.20/149.67 | (175) $false % 217.20/149.67 | % 217.20/149.67 |-The branch is then unsatisfiable % 217.20/149.67 |-Branch two: % 217.20/149.67 | (8030) all_397_0_1543 = 0 & mem(all_165_2_96, e) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (8030) yields: % 217.20/149.67 | (8024) all_397_0_1543 = 0 % 217.20/149.67 | (599) mem(all_165_2_96, e) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.20/149.67 | (538) $false % 217.20/149.67 | % 217.20/149.67 |-The branch is then unsatisfiable % 217.20/149.67 |-Branch two: % 217.20/149.67 | (8034) all_388_0_1541 = 0 & mem(all_135_1_87, e) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (8034) yields: % 217.20/149.67 | (8019) all_388_0_1541 = 0 % 217.20/149.67 | (726) mem(all_135_1_87, e) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.20/149.67 | (538) $false % 217.20/149.67 | % 217.20/149.67 |-The branch is then unsatisfiable % 217.20/149.67 |-Branch two: % 217.20/149.67 | (7514) all_281_0_1378 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (7514) yields: % 217.20/149.67 | (7373) all_281_0_1378 = 0 % 217.20/149.67 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 217.20/149.67 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 217.20/149.67 | % 217.20/149.67 | Instantiating (7517) with all_332_0_1544 yields: % 217.20/149.67 | (8042) (all_332_0_1544 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_1544 = 0 & mem(all_85_1_73, e) = 0) % 217.20/149.67 | % 217.20/149.67 +-Applying beta-rule and splitting (7746), into two cases. % 217.20/149.67 |-Branch one: % 217.20/149.67 | (7901) all_289_0_1494 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (7901) yields: % 217.20/149.67 | (7902) all_289_0_1494 = 0 % 217.20/149.67 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.20/149.67 | (478) all_135_1_87 = all_0_5_5 % 217.20/149.67 | % 217.20/149.67 | From (478) and (231) follows: % 217.20/149.67 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 217.20/149.67 | % 217.20/149.67 +-Applying beta-rule and splitting (7823), into two cases. % 217.20/149.67 |-Branch one: % 217.20/149.67 | (7945) all_305_0_1498 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (7945) yields: % 217.20/149.67 | (7946) all_305_0_1498 = 0 % 217.20/149.67 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.20/149.67 | (495) all_165_2_96 = all_0_5_5 % 217.20/149.67 | % 217.20/149.67 | From (495) and (268) follows: % 217.20/149.67 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.20/149.67 | (261) all_135_0_86 = 0 % 217.20/149.67 | % 217.20/149.67 | Equations (261) can reduce 230 to: % 217.20/149.67 | (175) $false % 217.20/149.67 | % 217.20/149.67 |-The branch is then unsatisfiable % 217.20/149.67 |-Branch two: % 217.20/149.67 | (7989) all_305_0_1498 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (7989) yields: % 217.20/149.67 | (7946) all_305_0_1498 = 0 % 217.20/149.67 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.20/149.67 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.20/149.67 | % 217.20/149.67 | Instantiating (502) with all_362_0_1545 yields: % 217.20/149.67 | (8059) (all_362_0_1545 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_1545 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.20/149.67 | % 217.20/149.67 +-Applying beta-rule and splitting (7895), into two cases. % 217.20/149.67 |-Branch one: % 217.20/149.67 | (7906) all_313_0_1502 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (7906) yields: % 217.20/149.67 | (7907) all_313_0_1502 = 0 % 217.20/149.67 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.20/149.67 | (507) all_212_1_107 = all_0_5_5 % 217.20/149.67 | % 217.20/149.67 | From (507) and (286) follows: % 217.20/149.67 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.20/149.67 | % 217.20/149.67 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.20/149.67 | (261) all_135_0_86 = 0 % 217.20/149.67 | % 217.20/149.67 | Equations (261) can reduce 230 to: % 217.20/149.67 | (175) $false % 217.20/149.67 | % 217.20/149.67 |-The branch is then unsatisfiable % 217.20/149.67 |-Branch two: % 217.20/149.67 | (7913) all_313_0_1502 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.20/149.67 | % 217.20/149.67 | Applying alpha-rule on (7913) yields: % 217.20/149.68 | (7907) all_313_0_1502 = 0 % 217.20/149.68 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.20/149.68 | % 217.20/149.68 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.20/149.68 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.20/149.68 | % 217.20/149.68 | Instantiating (514) with all_370_0_1546 yields: % 217.20/149.68 | (8071) (all_370_0_1546 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_370_0_1546 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.20/149.68 | % 217.20/149.68 +-Applying beta-rule and splitting (8042), into two cases. % 217.20/149.68 |-Branch one: % 217.20/149.68 | (8072) all_332_0_1544 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.20/149.68 | % 217.20/149.68 | Applying alpha-rule on (8072) yields: % 217.20/149.68 | (8073) all_332_0_1544 = 0 % 217.20/149.68 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.20/149.68 | % 217.20/149.68 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.20/149.68 | (7551) all_85_1_73 = e % 217.20/149.68 | % 217.20/149.68 | From (7551) and (184) follows: % 217.20/149.68 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.20/149.68 | % 217.20/149.68 +-Applying beta-rule and splitting (8059), into two cases. % 217.20/149.68 |-Branch one: % 217.20/149.68 | (8077) all_362_0_1545 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.20/149.68 | % 217.20/149.68 | Applying alpha-rule on (8077) yields: % 217.20/149.68 | (8078) all_362_0_1545 = 0 % 217.20/149.68 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.20/149.68 | % 217.20/149.68 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.20/149.68 | (551) all_165_2_96 = all_0_6_6 % 217.20/149.68 | % 217.20/149.68 | From (551) and (6142) follows: % 217.20/149.68 | (6455) mem(all_244_1_1231, all_0_6_6) = all_244_0_1230 % 217.20/149.68 | % 217.20/149.68 | Instantiating formula (8) with all_244_0_1230, all_0_6_6, all_66_0_64, e, all_244_1_1231 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, yields: % 217.20/149.68 | (6456) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 217.20/149.68 | % 217.20/149.68 +-Applying beta-rule and splitting (8071), into two cases. % 217.20/149.68 |-Branch one: % 217.20/149.68 | (8083) all_370_0_1546 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.20/149.68 | % 217.20/149.68 | Applying alpha-rule on (8083) yields: % 217.20/149.68 | (8084) all_370_0_1546 = 0 % 217.20/149.68 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.20/149.68 | % 217.20/149.68 +-Applying beta-rule and splitting (6456), into two cases. % 217.20/149.68 |-Branch one: % 217.20/149.68 | (6460) all_244_0_1230 = 0 % 217.20/149.68 | % 217.20/149.68 | Equations (6460) can reduce 6140 to: % 217.20/149.68 | (175) $false % 217.20/149.68 | % 217.20/149.68 |-The branch is then unsatisfiable % 217.20/149.68 |-Branch two: % 217.20/149.68 | (6140) ~ (all_244_0_1230 = 0) % 217.20/149.68 | (6463) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 217.20/149.68 | % 217.20/149.68 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.20/149.68 | (524) all_212_1_107 = all_0_6_6 % 217.20/149.68 | % 217.20/149.68 | From (524) and (6141) follows: % 217.20/149.68 | (6465) mem(all_244_1_1231, all_0_6_6) = 0 % 217.20/149.68 | % 217.20/149.68 | Instantiating formula (65) with all_244_1_1231, all_0_6_6, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, mem(all_244_1_1231, all_0_6_6) = 0, yields: % 217.20/149.68 | (6460) all_244_0_1230 = 0 % 217.20/149.68 | % 217.20/149.68 | Equations (6460) can reduce 6140 to: % 217.20/149.68 | (175) $false % 217.20/149.68 | % 217.20/149.68 |-The branch is then unsatisfiable % 217.20/149.68 |-Branch two: % 217.20/149.68 | (8094) all_370_0_1546 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.20/149.68 | % 217.20/149.68 | Applying alpha-rule on (8094) yields: % 217.20/149.68 | (8084) all_370_0_1546 = 0 % 217.20/149.68 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.20/149.68 | % 217.20/149.68 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.20/149.68 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.20/149.68 | % 217.20/149.68 | Instantiating (531) with all_411_0_1555 yields: % 217.20/149.68 | (8098) (all_411_0_1555 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_411_0_1555 = 0 & mem(all_212_1_107, e) = 0) % 217.20/149.68 | % 217.20/149.68 +-Applying beta-rule and splitting (8098), into two cases. % 217.20/149.68 |-Branch one: % 217.30/149.68 | (8099) all_411_0_1555 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.30/149.68 | % 217.30/149.68 | Applying alpha-rule on (8099) yields: % 217.30/149.68 | (8100) all_411_0_1555 = 0 % 217.30/149.68 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.30/149.68 | % 217.30/149.68 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.30/149.68 | (536) all_212_1_107 = e % 217.30/149.68 | % 217.30/149.68 | From (536) and (6141) follows: % 217.30/149.68 | (6440) mem(all_244_1_1231, e) = 0 % 217.30/149.68 | % 217.30/149.68 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.30/149.68 | (538) $false % 217.30/149.68 | % 217.30/149.68 |-The branch is then unsatisfiable % 217.30/149.68 |-Branch two: % 217.30/149.68 | (8105) all_411_0_1555 = 0 & mem(all_212_1_107, e) = 0 % 217.30/149.68 | % 217.30/149.68 | Applying alpha-rule on (8105) yields: % 217.30/149.69 | (8100) all_411_0_1555 = 0 % 217.30/149.69 | (541) mem(all_212_1_107, e) = 0 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.30/149.69 | (538) $false % 217.30/149.69 | % 217.30/149.69 |-The branch is then unsatisfiable % 217.30/149.69 |-Branch two: % 217.30/149.69 | (8109) all_362_0_1545 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.30/149.69 | % 217.30/149.69 | Applying alpha-rule on (8109) yields: % 217.30/149.69 | (8078) all_362_0_1545 = 0 % 217.30/149.69 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.30/149.69 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.30/149.69 | % 217.30/149.69 | Instantiating (583) with all_389_0_1558 yields: % 217.30/149.69 | (8113) (all_389_0_1558 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_389_0_1558 = 0 & mem(all_165_2_96, e) = 0) % 217.30/149.69 | % 217.30/149.69 +-Applying beta-rule and splitting (8113), into two cases. % 217.30/149.69 |-Branch one: % 217.30/149.69 | (8114) all_389_0_1558 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.30/149.69 | % 217.30/149.69 | Applying alpha-rule on (8114) yields: % 217.30/149.69 | (8115) all_389_0_1558 = 0 % 217.30/149.69 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.30/149.69 | (593) all_165_2_96 = e % 217.30/149.69 | % 217.30/149.69 | From (593) and (303) follows: % 217.30/149.69 | (7594) mem(e, all_57_1_62) = 0 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.30/149.69 | (212) all_85_0_72 = 0 % 217.30/149.69 | % 217.30/149.69 | Equations (212) can reduce 183 to: % 217.30/149.69 | (175) $false % 217.30/149.69 | % 217.30/149.69 |-The branch is then unsatisfiable % 217.30/149.69 |-Branch two: % 217.30/149.69 | (8121) all_389_0_1558 = 0 & mem(all_165_2_96, e) = 0 % 217.30/149.69 | % 217.30/149.69 | Applying alpha-rule on (8121) yields: % 217.30/149.69 | (8115) all_389_0_1558 = 0 % 217.30/149.69 | (599) mem(all_165_2_96, e) = 0 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.30/149.69 | (538) $false % 217.30/149.69 | % 217.30/149.69 |-The branch is then unsatisfiable % 217.30/149.69 |-Branch two: % 217.30/149.69 | (8125) all_332_0_1544 = 0 & mem(all_85_1_73, e) = 0 % 217.30/149.69 | % 217.30/149.69 | Applying alpha-rule on (8125) yields: % 217.30/149.69 | (8073) all_332_0_1544 = 0 % 217.30/149.69 | (7603) mem(all_85_1_73, e) = 0 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.30/149.69 | (538) $false % 217.30/149.69 | % 217.30/149.69 |-The branch is then unsatisfiable % 217.30/149.69 |-Branch two: % 217.30/149.69 | (7940) all_289_0_1494 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.30/149.69 | % 217.30/149.69 | Applying alpha-rule on (7940) yields: % 217.30/149.69 | (7902) all_289_0_1494 = 0 % 217.30/149.69 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.30/149.69 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.30/149.69 | % 217.30/149.69 | Instantiating (608) with all_340_0_1564 yields: % 217.30/149.69 | (8133) (all_340_0_1564 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_1564 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.30/149.69 | % 217.30/149.69 +-Applying beta-rule and splitting (7823), into two cases. % 217.30/149.69 |-Branch one: % 217.30/149.69 | (7945) all_305_0_1498 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.30/149.69 | % 217.30/149.69 | Applying alpha-rule on (7945) yields: % 217.30/149.69 | (7946) all_305_0_1498 = 0 % 217.30/149.69 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.30/149.69 | (495) all_165_2_96 = all_0_5_5 % 217.30/149.69 | % 217.30/149.69 | From (495) and (6142) follows: % 217.30/149.69 | (7425) mem(all_244_1_1231, all_0_5_5) = all_244_0_1230 % 217.30/149.69 | % 217.30/149.69 | Instantiating formula (8) with all_244_0_1230, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_1231 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, yields: % 217.30/149.69 | (7426) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.30/149.69 | % 217.30/149.69 +-Applying beta-rule and splitting (7895), into two cases. % 217.30/149.69 |-Branch one: % 217.30/149.69 | (7906) all_313_0_1502 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.30/149.69 | % 217.30/149.69 | Applying alpha-rule on (7906) yields: % 217.30/149.69 | (7907) all_313_0_1502 = 0 % 217.30/149.69 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.30/149.69 | % 217.30/149.70 +-Applying beta-rule and splitting (7426), into two cases. % 217.30/149.70 |-Branch one: % 217.30/149.70 | (6460) all_244_0_1230 = 0 % 217.30/149.70 | % 217.30/149.70 | Equations (6460) can reduce 6140 to: % 217.30/149.70 | (175) $false % 217.30/149.70 | % 217.30/149.70 |-The branch is then unsatisfiable % 217.30/149.70 |-Branch two: % 217.30/149.70 | (6140) ~ (all_244_0_1230 = 0) % 217.30/149.70 | (7433) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.30/149.70 | (507) all_212_1_107 = all_0_5_5 % 217.30/149.70 | % 217.30/149.70 | From (507) and (6141) follows: % 217.30/149.70 | (7435) mem(all_244_1_1231, all_0_5_5) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (65) with all_244_1_1231, all_0_5_5, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, mem(all_244_1_1231, all_0_5_5) = 0, yields: % 217.30/149.70 | (6460) all_244_0_1230 = 0 % 217.30/149.70 | % 217.30/149.70 | Equations (6460) can reduce 6140 to: % 217.30/149.70 | (175) $false % 217.30/149.70 | % 217.30/149.70 |-The branch is then unsatisfiable % 217.30/149.70 |-Branch two: % 217.30/149.70 | (7913) all_313_0_1502 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.30/149.70 | % 217.30/149.70 | Applying alpha-rule on (7913) yields: % 217.30/149.70 | (7907) all_313_0_1502 = 0 % 217.30/149.70 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.30/149.70 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.30/149.70 | % 217.30/149.70 | Instantiating (514) with all_381_0_1573 yields: % 217.30/149.70 | (8155) (all_381_0_1573 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_381_0_1573 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.30/149.70 | % 217.30/149.70 +-Applying beta-rule and splitting (8042), into two cases. % 217.30/149.70 |-Branch one: % 217.30/149.70 | (8072) all_332_0_1544 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.30/149.70 | % 217.30/149.70 | Applying alpha-rule on (8072) yields: % 217.30/149.70 | (8073) all_332_0_1544 = 0 % 217.30/149.70 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.30/149.70 | (7551) all_85_1_73 = e % 217.30/149.70 | % 217.30/149.70 | From (7551) and (184) follows: % 217.30/149.70 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.30/149.70 | % 217.30/149.70 +-Applying beta-rule and splitting (8133), into two cases. % 217.30/149.70 |-Branch one: % 217.30/149.70 | (8161) all_340_0_1564 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.30/149.70 | % 217.30/149.70 | Applying alpha-rule on (8161) yields: % 217.30/149.70 | (8162) all_340_0_1564 = 0 % 217.30/149.70 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.30/149.70 | (642) all_135_1_87 = all_0_6_6 % 217.30/149.70 | % 217.30/149.70 | From (642) and (231) follows: % 217.30/149.70 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.30/149.70 | % 217.30/149.70 +-Applying beta-rule and splitting (8155), into two cases. % 217.30/149.70 |-Branch one: % 217.30/149.70 | (8166) all_381_0_1573 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.30/149.70 | % 217.30/149.70 | Applying alpha-rule on (8166) yields: % 217.30/149.70 | (8167) all_381_0_1573 = 0 % 217.30/149.70 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.30/149.70 | (524) all_212_1_107 = all_0_6_6 % 217.30/149.70 | % 217.30/149.70 | From (524) and (286) follows: % 217.30/149.70 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.30/149.70 | (261) all_135_0_86 = 0 % 217.30/149.70 | % 217.30/149.70 | Equations (261) can reduce 230 to: % 217.30/149.70 | (175) $false % 217.30/149.70 | % 217.30/149.70 |-The branch is then unsatisfiable % 217.30/149.70 |-Branch two: % 217.30/149.70 | (8173) all_381_0_1573 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.30/149.70 | % 217.30/149.70 | Applying alpha-rule on (8173) yields: % 217.30/149.70 | (8167) all_381_0_1573 = 0 % 217.30/149.70 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.30/149.70 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.30/149.70 | % 217.30/149.70 | Instantiating (531) with all_428_0_1580 yields: % 217.30/149.70 | (8177) (all_428_0_1580 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_428_0_1580 = 0 & mem(all_212_1_107, e) = 0) % 217.30/149.70 | % 217.30/149.70 +-Applying beta-rule and splitting (8177), into two cases. % 217.30/149.70 |-Branch one: % 217.30/149.70 | (8178) all_428_0_1580 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.30/149.70 | % 217.30/149.70 | Applying alpha-rule on (8178) yields: % 217.30/149.70 | (8179) all_428_0_1580 = 0 % 217.30/149.70 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.30/149.70 | (536) all_212_1_107 = e % 217.30/149.70 | % 217.30/149.70 | From (536) and (6141) follows: % 217.30/149.70 | (6440) mem(all_244_1_1231, e) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.30/149.70 | (538) $false % 217.30/149.70 | % 217.30/149.70 |-The branch is then unsatisfiable % 217.30/149.70 |-Branch two: % 217.30/149.70 | (8184) all_428_0_1580 = 0 & mem(all_212_1_107, e) = 0 % 217.30/149.70 | % 217.30/149.70 | Applying alpha-rule on (8184) yields: % 217.30/149.70 | (8179) all_428_0_1580 = 0 % 217.30/149.70 | (541) mem(all_212_1_107, e) = 0 % 217.30/149.70 | % 217.30/149.70 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.30/149.71 | (538) $false % 217.30/149.71 | % 217.30/149.71 |-The branch is then unsatisfiable % 217.30/149.71 |-Branch two: % 217.30/149.71 | (8188) all_340_0_1564 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.30/149.71 | % 217.30/149.71 | Applying alpha-rule on (8188) yields: % 217.30/149.71 | (8162) all_340_0_1564 = 0 % 217.30/149.71 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.30/149.71 | % 217.30/149.71 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.30/149.71 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.30/149.71 | % 217.30/149.71 | Instantiating (669) with all_417_0_1583 yields: % 217.30/149.71 | (8192) (all_417_0_1583 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_417_0_1583 = 0 & mem(all_135_1_87, e) = 0) % 217.30/149.71 | % 217.30/149.71 +-Applying beta-rule and splitting (8192), into two cases. % 217.30/149.71 |-Branch one: % 217.30/149.71 | (8193) all_417_0_1583 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.30/149.71 | % 217.30/149.71 | Applying alpha-rule on (8193) yields: % 217.30/149.71 | (8194) all_417_0_1583 = 0 % 217.30/149.71 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.30/149.71 | % 217.30/149.71 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.30/149.71 | (711) all_135_1_87 = e % 217.30/149.71 | % 217.30/149.71 | From (711) and (241) follows: % 217.30/149.71 | (7594) mem(e, all_57_1_62) = 0 % 217.30/149.71 | % 217.30/149.71 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.30/149.71 | (212) all_85_0_72 = 0 % 217.30/149.71 | % 217.30/149.71 | Equations (212) can reduce 183 to: % 217.30/149.71 | (175) $false % 217.30/149.71 | % 217.30/149.71 |-The branch is then unsatisfiable % 217.30/149.71 |-Branch two: % 217.30/149.71 | (8200) all_417_0_1583 = 0 & mem(all_135_1_87, e) = 0 % 217.30/149.71 | % 217.30/149.71 | Applying alpha-rule on (8200) yields: % 217.30/149.71 | (8194) all_417_0_1583 = 0 % 217.30/149.71 | (726) mem(all_135_1_87, e) = 0 % 217.30/149.71 | % 217.30/149.71 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.30/149.71 | (538) $false % 217.30/149.71 | % 217.30/149.71 |-The branch is then unsatisfiable % 217.30/149.71 |-Branch two: % 217.30/149.71 | (8125) all_332_0_1544 = 0 & mem(all_85_1_73, e) = 0 % 217.30/149.71 | % 217.30/149.71 | Applying alpha-rule on (8125) yields: % 217.30/149.71 | (8073) all_332_0_1544 = 0 % 217.30/149.71 | (7603) mem(all_85_1_73, e) = 0 % 217.30/149.71 | % 217.30/149.71 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.30/149.71 | (538) $false % 217.30/149.71 | % 217.30/149.71 |-The branch is then unsatisfiable % 217.30/149.71 |-Branch two: % 217.30/149.71 | (7989) all_305_0_1498 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.30/149.71 | % 217.30/149.71 | Applying alpha-rule on (7989) yields: % 217.30/149.71 | (7946) all_305_0_1498 = 0 % 217.30/149.71 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.30/149.71 | % 217.30/149.71 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.30/149.71 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.30/149.71 | % 217.30/149.71 | Instantiating (502) with all_359_0_1589 yields: % 217.30/149.71 | (8212) (all_359_0_1589 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_1589 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.30/149.71 | % 217.30/149.71 +-Applying beta-rule and splitting (8042), into two cases. % 217.30/149.71 |-Branch one: % 217.30/149.71 | (8072) all_332_0_1544 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.30/149.71 | % 217.30/149.71 | Applying alpha-rule on (8072) yields: % 217.30/149.71 | (8073) all_332_0_1544 = 0 % 217.30/149.71 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.30/149.71 | % 217.30/149.71 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.30/149.71 | (7551) all_85_1_73 = e % 217.30/149.71 | % 217.30/149.71 | From (7551) and (184) follows: % 217.30/149.71 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.30/149.71 | % 217.30/149.71 +-Applying beta-rule and splitting (8133), into two cases. % 217.30/149.71 |-Branch one: % 217.30/149.71 | (8161) all_340_0_1564 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.30/149.71 | % 217.30/149.71 | Applying alpha-rule on (8161) yields: % 217.30/149.71 | (8162) all_340_0_1564 = 0 % 217.30/149.71 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.30/149.71 | % 217.30/149.71 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.30/149.71 | (642) all_135_1_87 = all_0_6_6 % 217.30/149.71 | % 217.30/149.71 | From (642) and (231) follows: % 217.30/149.71 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.30/149.71 | % 217.30/149.71 +-Applying beta-rule and splitting (8212), into two cases. % 217.30/149.71 |-Branch one: % 217.30/149.71 | (8223) all_359_0_1589 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.30/149.72 | % 217.30/149.72 | Applying alpha-rule on (8223) yields: % 217.30/149.72 | (8224) all_359_0_1589 = 0 % 217.30/149.72 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.30/149.72 | (551) all_165_2_96 = all_0_6_6 % 217.30/149.72 | % 217.30/149.72 | From (551) and (268) follows: % 217.30/149.72 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.30/149.72 | (261) all_135_0_86 = 0 % 217.30/149.72 | % 217.30/149.72 | Equations (261) can reduce 230 to: % 217.30/149.72 | (175) $false % 217.30/149.72 | % 217.30/149.72 |-The branch is then unsatisfiable % 217.30/149.72 |-Branch two: % 217.30/149.72 | (8230) all_359_0_1589 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.30/149.72 | % 217.30/149.72 | Applying alpha-rule on (8230) yields: % 217.30/149.72 | (8224) all_359_0_1589 = 0 % 217.30/149.72 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.30/149.72 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.30/149.72 | % 217.30/149.72 | Instantiating (583) with all_408_0_1594 yields: % 217.30/149.72 | (8234) (all_408_0_1594 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_408_0_1594 = 0 & mem(all_165_2_96, e) = 0) % 217.30/149.72 | % 217.30/149.72 +-Applying beta-rule and splitting (8234), into two cases. % 217.30/149.72 |-Branch one: % 217.30/149.72 | (8235) all_408_0_1594 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.30/149.72 | % 217.30/149.72 | Applying alpha-rule on (8235) yields: % 217.30/149.72 | (8236) all_408_0_1594 = 0 % 217.30/149.72 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.30/149.72 | (593) all_165_2_96 = e % 217.30/149.72 | % 217.30/149.72 | From (593) and (303) follows: % 217.30/149.72 | (7594) mem(e, all_57_1_62) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.30/149.72 | (212) all_85_0_72 = 0 % 217.30/149.72 | % 217.30/149.72 | Equations (212) can reduce 183 to: % 217.30/149.72 | (175) $false % 217.30/149.72 | % 217.30/149.72 |-The branch is then unsatisfiable % 217.30/149.72 |-Branch two: % 217.30/149.72 | (8242) all_408_0_1594 = 0 & mem(all_165_2_96, e) = 0 % 217.30/149.72 | % 217.30/149.72 | Applying alpha-rule on (8242) yields: % 217.30/149.72 | (8236) all_408_0_1594 = 0 % 217.30/149.72 | (599) mem(all_165_2_96, e) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.30/149.72 | (538) $false % 217.30/149.72 | % 217.30/149.72 |-The branch is then unsatisfiable % 217.30/149.72 |-Branch two: % 217.30/149.72 | (8188) all_340_0_1564 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.30/149.72 | % 217.30/149.72 | Applying alpha-rule on (8188) yields: % 217.30/149.72 | (8162) all_340_0_1564 = 0 % 217.30/149.72 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.30/149.72 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.30/149.72 | % 217.30/149.72 | Instantiating (669) with all_397_0_1595 yields: % 217.30/149.72 | (8250) (all_397_0_1595 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_397_0_1595 = 0 & mem(all_135_1_87, e) = 0) % 217.30/149.72 | % 217.30/149.72 +-Applying beta-rule and splitting (8250), into two cases. % 217.30/149.72 |-Branch one: % 217.30/149.72 | (8251) all_397_0_1595 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.30/149.72 | % 217.30/149.72 | Applying alpha-rule on (8251) yields: % 217.30/149.72 | (8252) all_397_0_1595 = 0 % 217.30/149.72 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.30/149.72 | (711) all_135_1_87 = e % 217.30/149.72 | % 217.30/149.72 | From (711) and (241) follows: % 217.30/149.72 | (7594) mem(e, all_57_1_62) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.30/149.72 | (212) all_85_0_72 = 0 % 217.30/149.72 | % 217.30/149.72 | Equations (212) can reduce 183 to: % 217.30/149.72 | (175) $false % 217.30/149.72 | % 217.30/149.72 |-The branch is then unsatisfiable % 217.30/149.72 |-Branch two: % 217.30/149.72 | (8258) all_397_0_1595 = 0 & mem(all_135_1_87, e) = 0 % 217.30/149.72 | % 217.30/149.72 | Applying alpha-rule on (8258) yields: % 217.30/149.72 | (8252) all_397_0_1595 = 0 % 217.30/149.72 | (726) mem(all_135_1_87, e) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.30/149.72 | (538) $false % 217.30/149.72 | % 217.30/149.72 |-The branch is then unsatisfiable % 217.30/149.72 |-Branch two: % 217.30/149.72 | (8125) all_332_0_1544 = 0 & mem(all_85_1_73, e) = 0 % 217.30/149.72 | % 217.30/149.72 | Applying alpha-rule on (8125) yields: % 217.30/149.72 | (8073) all_332_0_1544 = 0 % 217.30/149.72 | (7603) mem(all_85_1_73, e) = 0 % 217.30/149.72 | % 217.30/149.72 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.30/149.72 | (538) $false % 217.30/149.72 | % 217.30/149.72 |-The branch is then unsatisfiable % 217.30/149.73 |-Branch two: % 217.30/149.73 | (6234) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 217.30/149.73 | % 217.30/149.73 | Applying alpha-rule on (6234) yields: % 217.30/149.73 | (6168) all_252_0_1232 = 0 % 217.30/149.73 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 217.30/149.73 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 217.30/149.73 | % 217.30/149.73 | Instantiating (401) with all_297_0_1606 yields: % 217.30/149.73 | (8270) (all_297_0_1606 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_297_0_1606 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 217.30/149.73 | % 217.30/149.73 +-Applying beta-rule and splitting (6149), into two cases. % 217.30/149.73 |-Branch one: % 217.30/149.73 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 217.30/149.73 | % 217.30/149.73 | Applying alpha-rule on (6239) yields: % 217.30/149.73 | (6240) all_259_0_1233 = 0 % 217.30/149.73 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 217.30/149.73 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 217.30/149.73 | % 217.30/149.73 | Instantiating (406) with all_305_0_1607 yields: % 217.30/149.73 | (8275) (all_305_0_1607 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_305_0_1607 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 217.30/149.73 | % 217.30/149.73 +-Applying beta-rule and splitting (6151), into two cases. % 217.30/149.73 |-Branch one: % 217.30/149.73 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 217.30/149.73 | % 217.30/149.73 | Applying alpha-rule on (6311) yields: % 217.30/149.73 | (6312) all_265_0_1234 = 0 % 217.30/149.73 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 217.30/149.73 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 217.30/149.73 | % 217.30/149.73 | Instantiating (442) with all_313_0_1608 yields: % 217.30/149.73 | (8280) (all_313_0_1608 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_313_0_1608 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 217.30/149.73 | % 217.30/149.73 +-Applying beta-rule and splitting (6156), into two cases. % 217.30/149.73 |-Branch one: % 217.30/149.73 | (6172) all_273_0_1235 = 0 & mem(all_110_1_81, all_72_0_67) = 0 % 217.30/149.73 | % 217.30/149.73 | Applying alpha-rule on (6172) yields: % 217.30/149.73 | (6173) all_273_0_1235 = 0 % 217.30/149.73 | (338) mem(all_110_1_81, all_72_0_67) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_110_1_81 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_110_1_81, all_72_0_67) = 0, yields: % 217.30/149.73 | (339) all_110_1_81 = all_0_2_2 % 217.30/149.73 | % 217.30/149.73 | From (339) and (210) follows: % 217.30/149.73 | (974) mem(all_0_2_2, all_74_1_69) = all_110_0_80 % 217.30/149.73 | % 217.30/149.73 +-Applying beta-rule and splitting (8275), into two cases. % 217.30/149.73 |-Branch one: % 217.30/149.73 | (8286) all_305_0_1607 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.30/149.73 | % 217.30/149.73 | Applying alpha-rule on (8286) yields: % 217.30/149.73 | (8287) all_305_0_1607 = 0 % 217.30/149.73 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.30/149.73 | (423) all_165_2_96 = all_0_2_2 % 217.30/149.73 | % 217.30/149.73 | From (423) and (288) follows: % 217.30/149.73 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 217.30/149.73 | (233) all_110_0_80 = 0 % 217.30/149.73 | % 217.30/149.73 | Equations (233) can reduce 209 to: % 217.30/149.73 | (175) $false % 217.30/149.73 | % 217.30/149.73 |-The branch is then unsatisfiable % 217.30/149.73 |-Branch two: % 217.30/149.73 | (8293) all_305_0_1607 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.30/149.73 | % 217.30/149.73 | Applying alpha-rule on (8293) yields: % 217.30/149.73 | (8287) all_305_0_1607 = 0 % 217.30/149.73 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.30/149.73 | (430) all_165_2_96 = all_0_3_3 % 217.30/149.73 | % 217.30/149.73 | From (430) and (6142) follows: % 217.30/149.73 | (6818) mem(all_244_1_1231, all_0_3_3) = all_244_0_1230 % 217.30/149.73 | % 217.30/149.73 +-Applying beta-rule and splitting (8280), into two cases. % 217.30/149.73 |-Branch one: % 217.30/149.73 | (8298) all_313_0_1608 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.30/149.73 | % 217.30/149.73 | Applying alpha-rule on (8298) yields: % 217.30/149.73 | (8299) all_313_0_1608 = 0 % 217.30/149.73 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.30/149.73 | (459) all_212_1_107 = all_0_2_2 % 217.30/149.73 | % 217.30/149.73 | From (459) and (301) follows: % 217.30/149.73 | (979) mem(all_0_2_2, all_74_1_69) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (65) with all_0_2_2, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_2_2, all_74_1_69) = all_110_0_80, mem(all_0_2_2, all_74_1_69) = 0, yields: % 217.30/149.73 | (233) all_110_0_80 = 0 % 217.30/149.73 | % 217.30/149.73 | Equations (233) can reduce 209 to: % 217.30/149.73 | (175) $false % 217.30/149.73 | % 217.30/149.73 |-The branch is then unsatisfiable % 217.30/149.73 |-Branch two: % 217.30/149.73 | (8305) all_313_0_1608 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.30/149.73 | % 217.30/149.73 | Applying alpha-rule on (8305) yields: % 217.30/149.73 | (8299) all_313_0_1608 = 0 % 217.30/149.73 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.30/149.73 | (466) all_212_1_107 = all_0_3_3 % 217.30/149.73 | % 217.30/149.73 | From (466) and (6141) follows: % 217.30/149.73 | (6830) mem(all_244_1_1231, all_0_3_3) = 0 % 217.30/149.73 | % 217.30/149.73 | Instantiating formula (65) with all_244_1_1231, all_0_3_3, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_3_3) = all_244_0_1230, mem(all_244_1_1231, all_0_3_3) = 0, yields: % 217.30/149.73 | (6460) all_244_0_1230 = 0 % 217.30/149.73 | % 217.30/149.73 | Equations (6460) can reduce 6140 to: % 217.30/149.73 | (175) $false % 217.30/149.73 | % 217.30/149.73 |-The branch is then unsatisfiable % 217.30/149.73 |-Branch two: % 217.30/149.74 | (6203) all_273_0_1235 = 0 & mem(all_110_1_81, all_0_2_2) = 0 % 217.30/149.74 | % 217.30/149.74 | Applying alpha-rule on (6203) yields: % 217.30/149.74 | (6173) all_273_0_1235 = 0 % 217.30/149.74 | (345) mem(all_110_1_81, all_0_2_2) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_110_1_81 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_110_1_81, all_0_2_2) = 0, yields: % 217.30/149.74 | (346) all_110_1_81 = all_0_3_3 % 217.30/149.74 | % 217.30/149.74 | From (346) and (210) follows: % 217.30/149.74 | (347) mem(all_0_3_3, all_74_1_69) = all_110_0_80 % 217.30/149.74 | % 217.30/149.74 +-Applying beta-rule and splitting (8275), into two cases. % 217.30/149.74 |-Branch one: % 217.30/149.74 | (8286) all_305_0_1607 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.30/149.74 | % 217.30/149.74 | Applying alpha-rule on (8286) yields: % 217.30/149.74 | (8287) all_305_0_1607 = 0 % 217.30/149.74 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.30/149.74 | (423) all_165_2_96 = all_0_2_2 % 217.30/149.74 | % 217.30/149.74 | From (423) and (6142) follows: % 217.30/149.74 | (6842) mem(all_244_1_1231, all_0_2_2) = all_244_0_1230 % 217.30/149.74 | % 217.30/149.74 +-Applying beta-rule and splitting (8280), into two cases. % 217.30/149.74 |-Branch one: % 217.30/149.74 | (8298) all_313_0_1608 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.30/149.74 | % 217.30/149.74 | Applying alpha-rule on (8298) yields: % 217.30/149.74 | (8299) all_313_0_1608 = 0 % 217.30/149.74 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.30/149.74 | (459) all_212_1_107 = all_0_2_2 % 217.30/149.74 | % 217.30/149.74 | From (459) and (6141) follows: % 217.30/149.74 | (6847) mem(all_244_1_1231, all_0_2_2) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (65) with all_244_1_1231, all_0_2_2, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_2_2) = all_244_0_1230, mem(all_244_1_1231, all_0_2_2) = 0, yields: % 217.30/149.74 | (6460) all_244_0_1230 = 0 % 217.30/149.74 | % 217.30/149.74 | Equations (6460) can reduce 6140 to: % 217.30/149.74 | (175) $false % 217.30/149.74 | % 217.30/149.74 |-The branch is then unsatisfiable % 217.30/149.74 |-Branch two: % 217.30/149.74 | (8305) all_313_0_1608 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.30/149.74 | % 217.30/149.74 | Applying alpha-rule on (8305) yields: % 217.30/149.74 | (8299) all_313_0_1608 = 0 % 217.30/149.74 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.30/149.74 | (466) all_212_1_107 = all_0_3_3 % 217.30/149.74 | % 217.30/149.74 | From (466) and (301) follows: % 217.30/149.74 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 217.30/149.74 | (233) all_110_0_80 = 0 % 217.30/149.74 | % 217.30/149.74 | Equations (233) can reduce 209 to: % 217.30/149.74 | (175) $false % 217.30/149.74 | % 217.30/149.74 |-The branch is then unsatisfiable % 217.30/149.74 |-Branch two: % 217.30/149.74 | (8293) all_305_0_1607 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.30/149.74 | % 217.30/149.74 | Applying alpha-rule on (8293) yields: % 217.30/149.74 | (8287) all_305_0_1607 = 0 % 217.30/149.74 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.30/149.74 | (430) all_165_2_96 = all_0_3_3 % 217.30/149.74 | % 217.30/149.74 | From (430) and (288) follows: % 217.30/149.74 | (359) mem(all_0_3_3, all_74_1_69) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (65) with all_0_3_3, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_3_3, all_74_1_69) = all_110_0_80, mem(all_0_3_3, all_74_1_69) = 0, yields: % 217.30/149.74 | (233) all_110_0_80 = 0 % 217.30/149.74 | % 217.30/149.74 | Equations (233) can reduce 209 to: % 217.30/149.74 | (175) $false % 217.30/149.74 | % 217.30/149.74 |-The branch is then unsatisfiable % 217.30/149.74 |-Branch two: % 217.30/149.74 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 217.30/149.74 | % 217.30/149.74 | Applying alpha-rule on (6378) yields: % 217.30/149.74 | (6312) all_265_0_1234 = 0 % 217.30/149.74 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 217.30/149.74 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 217.30/149.74 | % 217.30/149.74 | Instantiating (473) with all_313_0_1619 yields: % 217.30/149.74 | (8347) (all_313_0_1619 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_313_0_1619 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 217.30/149.74 | % 217.30/149.74 +-Applying beta-rule and splitting (7150), into two cases. % 217.30/149.74 |-Branch one: % 217.30/149.74 | (7372) all_281_0_1378 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 217.30/149.74 | % 217.30/149.74 | Applying alpha-rule on (7372) yields: % 217.30/149.74 | (7373) all_281_0_1378 = 0 % 217.30/149.74 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 217.30/149.74 | (7375) all_85_1_73 = all_0_6_6 % 217.30/149.74 | % 217.30/149.74 | From (7375) and (184) follows: % 217.30/149.74 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 217.30/149.74 | % 217.30/149.74 +-Applying beta-rule and splitting (7746), into two cases. % 217.30/149.74 |-Branch one: % 217.30/149.74 | (7901) all_289_0_1494 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.30/149.74 | % 217.30/149.74 | Applying alpha-rule on (7901) yields: % 217.30/149.74 | (7902) all_289_0_1494 = 0 % 217.30/149.74 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.30/149.74 | % 217.30/149.74 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.30/149.74 | (478) all_135_1_87 = all_0_5_5 % 217.30/149.74 | % 217.30/149.74 | From (478) and (231) follows: % 217.30/149.74 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 217.30/149.74 | % 217.30/149.74 +-Applying beta-rule and splitting (8347), into two cases. % 217.30/149.74 |-Branch one: % 217.30/149.75 | (8358) all_313_0_1619 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (8358) yields: % 217.30/149.75 | (8359) all_313_0_1619 = 0 % 217.30/149.75 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.30/149.75 | (507) all_212_1_107 = all_0_5_5 % 217.30/149.75 | % 217.30/149.75 | From (507) and (286) follows: % 217.30/149.75 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.30/149.75 | (261) all_135_0_86 = 0 % 217.30/149.75 | % 217.30/149.75 | Equations (261) can reduce 230 to: % 217.30/149.75 | (175) $false % 217.30/149.75 | % 217.30/149.75 |-The branch is then unsatisfiable % 217.30/149.75 |-Branch two: % 217.30/149.75 | (8365) all_313_0_1619 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (8365) yields: % 217.30/149.75 | (8359) all_313_0_1619 = 0 % 217.30/149.75 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.30/149.75 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.30/149.75 | % 217.30/149.75 | Instantiating (514) with all_379_0_1625 yields: % 217.30/149.75 | (8369) (all_379_0_1625 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_379_0_1625 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.30/149.75 | % 217.30/149.75 +-Applying beta-rule and splitting (8369), into two cases. % 217.30/149.75 |-Branch one: % 217.30/149.75 | (8370) all_379_0_1625 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (8370) yields: % 217.30/149.75 | (8371) all_379_0_1625 = 0 % 217.30/149.75 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.30/149.75 | (524) all_212_1_107 = all_0_6_6 % 217.30/149.75 | % 217.30/149.75 | From (524) and (312) follows: % 217.30/149.75 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.30/149.75 | (212) all_85_0_72 = 0 % 217.30/149.75 | % 217.30/149.75 | Equations (212) can reduce 183 to: % 217.30/149.75 | (175) $false % 217.30/149.75 | % 217.30/149.75 |-The branch is then unsatisfiable % 217.30/149.75 |-Branch two: % 217.30/149.75 | (8377) all_379_0_1625 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (8377) yields: % 217.30/149.75 | (8371) all_379_0_1625 = 0 % 217.30/149.75 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.30/149.75 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.30/149.75 | % 217.30/149.75 | Instantiating (531) with all_395_0_1627 yields: % 217.30/149.75 | (8381) (all_395_0_1627 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1627 = 0 & mem(all_212_1_107, e) = 0) % 217.30/149.75 | % 217.30/149.75 +-Applying beta-rule and splitting (8381), into two cases. % 217.30/149.75 |-Branch one: % 217.30/149.75 | (8382) all_395_0_1627 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (8382) yields: % 217.30/149.75 | (8383) all_395_0_1627 = 0 % 217.30/149.75 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.30/149.75 | (536) all_212_1_107 = e % 217.30/149.75 | % 217.30/149.75 | From (536) and (6141) follows: % 217.30/149.75 | (6440) mem(all_244_1_1231, e) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.30/149.75 | (538) $false % 217.30/149.75 | % 217.30/149.75 |-The branch is then unsatisfiable % 217.30/149.75 |-Branch two: % 217.30/149.75 | (8388) all_395_0_1627 = 0 & mem(all_212_1_107, e) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (8388) yields: % 217.30/149.75 | (8383) all_395_0_1627 = 0 % 217.30/149.75 | (541) mem(all_212_1_107, e) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.30/149.75 | (538) $false % 217.30/149.75 | % 217.30/149.75 |-The branch is then unsatisfiable % 217.30/149.75 |-Branch two: % 217.30/149.75 | (7940) all_289_0_1494 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (7940) yields: % 217.30/149.75 | (7902) all_289_0_1494 = 0 % 217.30/149.75 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.30/149.75 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.30/149.75 | % 217.30/149.75 | Instantiating (608) with all_343_0_1628 yields: % 217.30/149.75 | (8396) (all_343_0_1628 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_343_0_1628 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.30/149.75 | % 217.30/149.75 +-Applying beta-rule and splitting (8270), into two cases. % 217.30/149.75 |-Branch one: % 217.30/149.75 | (8397) all_297_0_1606 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (8397) yields: % 217.30/149.75 | (8398) all_297_0_1606 = 0 % 217.30/149.75 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.30/149.75 | (483) all_181_1_101 = all_0_5_5 % 217.30/149.75 | % 217.30/149.75 | From (483) and (259) follows: % 217.30/149.75 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 217.30/149.75 | % 217.30/149.75 +-Applying beta-rule and splitting (8347), into two cases. % 217.30/149.75 |-Branch one: % 217.30/149.75 | (8358) all_313_0_1619 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.30/149.75 | % 217.30/149.75 | Applying alpha-rule on (8358) yields: % 217.30/149.75 | (8359) all_313_0_1619 = 0 % 217.30/149.75 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.30/149.75 | (507) all_212_1_107 = all_0_5_5 % 217.30/149.75 | % 217.30/149.75 | From (507) and (281) follows: % 217.30/149.75 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 217.30/149.75 | % 217.30/149.75 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 217.30/149.76 | (526) all_181_0_100 = 0 % 217.30/149.76 | % 217.30/149.76 | Equations (526) can reduce 258 to: % 217.30/149.76 | (175) $false % 217.30/149.76 | % 217.30/149.76 |-The branch is then unsatisfiable % 217.30/149.76 |-Branch two: % 217.36/149.76 | (8365) all_313_0_1619 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.36/149.76 | % 217.36/149.76 | Applying alpha-rule on (8365) yields: % 217.36/149.76 | (8359) all_313_0_1619 = 0 % 217.36/149.76 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.36/149.76 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.36/149.76 | % 217.36/149.76 | Instantiating (514) with all_379_0_1633 yields: % 217.36/149.76 | (8413) (all_379_0_1633 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_379_0_1633 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.36/149.76 | % 217.36/149.76 +-Applying beta-rule and splitting (8413), into two cases. % 217.36/149.76 |-Branch one: % 217.36/149.76 | (8414) all_379_0_1633 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.36/149.76 | % 217.36/149.76 | Applying alpha-rule on (8414) yields: % 217.36/149.76 | (8415) all_379_0_1633 = 0 % 217.36/149.76 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.36/149.76 | (524) all_212_1_107 = all_0_6_6 % 217.36/149.76 | % 217.36/149.76 | From (524) and (312) follows: % 217.36/149.76 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.36/149.76 | (212) all_85_0_72 = 0 % 217.36/149.76 | % 217.36/149.76 | Equations (212) can reduce 183 to: % 217.36/149.76 | (175) $false % 217.36/149.76 | % 217.36/149.76 |-The branch is then unsatisfiable % 217.36/149.76 |-Branch two: % 217.36/149.76 | (8421) all_379_0_1633 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.36/149.76 | % 217.36/149.76 | Applying alpha-rule on (8421) yields: % 217.36/149.76 | (8415) all_379_0_1633 = 0 % 217.36/149.76 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.36/149.76 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.36/149.76 | % 217.36/149.76 | Instantiating (531) with all_395_0_1635 yields: % 217.36/149.76 | (8425) (all_395_0_1635 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1635 = 0 & mem(all_212_1_107, e) = 0) % 217.36/149.76 | % 217.36/149.76 +-Applying beta-rule and splitting (8425), into two cases. % 217.36/149.76 |-Branch one: % 217.36/149.76 | (8426) all_395_0_1635 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.36/149.76 | % 217.36/149.76 | Applying alpha-rule on (8426) yields: % 217.36/149.76 | (8427) all_395_0_1635 = 0 % 217.36/149.76 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.36/149.76 | (536) all_212_1_107 = e % 217.36/149.76 | % 217.36/149.76 | From (536) and (6141) follows: % 217.36/149.76 | (6440) mem(all_244_1_1231, e) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.36/149.76 | (538) $false % 217.36/149.76 | % 217.36/149.76 |-The branch is then unsatisfiable % 217.36/149.76 |-Branch two: % 217.36/149.76 | (8432) all_395_0_1635 = 0 & mem(all_212_1_107, e) = 0 % 217.36/149.76 | % 217.36/149.76 | Applying alpha-rule on (8432) yields: % 217.36/149.76 | (8427) all_395_0_1635 = 0 % 217.36/149.76 | (541) mem(all_212_1_107, e) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.36/149.76 | (538) $false % 217.36/149.76 | % 217.36/149.76 |-The branch is then unsatisfiable % 217.36/149.76 |-Branch two: % 217.36/149.76 | (8436) all_297_0_1606 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.36/149.76 | % 217.36/149.76 | Applying alpha-rule on (8436) yields: % 217.36/149.76 | (8398) all_297_0_1606 = 0 % 217.36/149.76 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.36/149.76 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.36/149.76 | % 217.36/149.76 | Instantiating (490) with all_351_0_1636 yields: % 217.36/149.76 | (8440) (all_351_0_1636 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_1636 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.36/149.76 | % 217.36/149.76 +-Applying beta-rule and splitting (8396), into two cases. % 217.36/149.76 |-Branch one: % 217.36/149.76 | (8441) all_343_0_1628 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.36/149.76 | % 217.36/149.76 | Applying alpha-rule on (8441) yields: % 217.36/149.76 | (8442) all_343_0_1628 = 0 % 217.36/149.76 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.36/149.76 | (642) all_135_1_87 = all_0_6_6 % 217.36/149.76 | % 217.36/149.76 | From (642) and (241) follows: % 217.36/149.76 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.36/149.76 | (212) all_85_0_72 = 0 % 217.36/149.76 | % 217.36/149.76 | Equations (212) can reduce 183 to: % 217.36/149.76 | (175) $false % 217.36/149.76 | % 217.36/149.76 |-The branch is then unsatisfiable % 217.36/149.76 |-Branch two: % 217.36/149.76 | (8448) all_343_0_1628 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.36/149.76 | % 217.36/149.76 | Applying alpha-rule on (8448) yields: % 217.36/149.76 | (8442) all_343_0_1628 = 0 % 217.36/149.76 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.36/149.76 | % 217.36/149.76 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.36/149.76 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.36/149.77 | % 217.36/149.77 | Instantiating (669) with all_402_0_1657 yields: % 217.36/149.77 | (8452) (all_402_0_1657 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_402_0_1657 = 0 & mem(all_135_1_87, e) = 0) % 217.36/149.77 | % 217.36/149.77 +-Applying beta-rule and splitting (8440), into two cases. % 217.36/149.77 |-Branch one: % 217.36/149.77 | (8453) all_351_0_1636 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.36/149.77 | % 217.36/149.77 | Applying alpha-rule on (8453) yields: % 217.36/149.77 | (8454) all_351_0_1636 = 0 % 217.36/149.77 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.36/149.77 | (519) all_181_1_101 = all_0_6_6 % 217.36/149.77 | % 217.36/149.77 | From (519) and (287) follows: % 217.36/149.77 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.36/149.77 | (212) all_85_0_72 = 0 % 217.36/149.77 | % 217.36/149.77 | Equations (212) can reduce 183 to: % 217.36/149.77 | (175) $false % 217.36/149.77 | % 217.36/149.77 |-The branch is then unsatisfiable % 217.36/149.77 |-Branch two: % 217.36/149.77 | (8460) all_351_0_1636 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.36/149.77 | % 217.36/149.77 | Applying alpha-rule on (8460) yields: % 217.36/149.77 | (8454) all_351_0_1636 = 0 % 217.36/149.77 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.36/149.77 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.36/149.77 | % 217.36/149.77 | Instantiating (546) with all_417_0_1661 yields: % 217.36/149.77 | (8464) (all_417_0_1661 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_417_0_1661 = 0 & mem(all_181_1_101, e) = 0) % 217.36/149.77 | % 217.36/149.77 +-Applying beta-rule and splitting (8452), into two cases. % 217.36/149.77 |-Branch one: % 217.36/149.77 | (8465) all_402_0_1657 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.36/149.77 | % 217.36/149.77 | Applying alpha-rule on (8465) yields: % 217.36/149.77 | (8466) all_402_0_1657 = 0 % 217.36/149.77 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.36/149.77 | (711) all_135_1_87 = e % 217.36/149.77 | % 217.36/149.77 | From (711) and (231) follows: % 217.36/149.77 | (712) mem(e, all_99_1_77) = all_135_0_86 % 217.36/149.77 | % 217.36/149.77 +-Applying beta-rule and splitting (8464), into two cases. % 217.36/149.77 |-Branch one: % 217.36/149.77 | (8470) all_417_0_1661 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.36/149.77 | % 217.36/149.77 | Applying alpha-rule on (8470) yields: % 217.36/149.77 | (8471) all_417_0_1661 = 0 % 217.36/149.77 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.36/149.77 | (588) all_181_1_101 = e % 217.36/149.77 | % 217.36/149.77 | From (588) and (260) follows: % 217.36/149.77 | (717) mem(e, all_99_1_77) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 217.36/149.77 | (261) all_135_0_86 = 0 % 217.36/149.77 | % 217.36/149.77 | Equations (261) can reduce 230 to: % 217.36/149.77 | (175) $false % 217.36/149.77 | % 217.36/149.77 |-The branch is then unsatisfiable % 217.36/149.77 |-Branch two: % 217.36/149.77 | (8477) all_417_0_1661 = 0 & mem(all_181_1_101, e) = 0 % 217.36/149.77 | % 217.36/149.77 | Applying alpha-rule on (8477) yields: % 217.36/149.77 | (8471) all_417_0_1661 = 0 % 217.36/149.77 | (603) mem(all_181_1_101, e) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.36/149.77 | (538) $false % 217.36/149.77 | % 217.36/149.77 |-The branch is then unsatisfiable % 217.36/149.77 |-Branch two: % 217.36/149.77 | (8481) all_402_0_1657 = 0 & mem(all_135_1_87, e) = 0 % 217.36/149.77 | % 217.36/149.77 | Applying alpha-rule on (8481) yields: % 217.36/149.77 | (8466) all_402_0_1657 = 0 % 217.36/149.77 | (726) mem(all_135_1_87, e) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.36/149.77 | (538) $false % 217.36/149.77 | % 217.36/149.77 |-The branch is then unsatisfiable % 217.36/149.77 |-Branch two: % 217.36/149.77 | (7514) all_281_0_1378 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 217.36/149.77 | % 217.36/149.77 | Applying alpha-rule on (7514) yields: % 217.36/149.77 | (7373) all_281_0_1378 = 0 % 217.36/149.77 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 217.36/149.77 | % 217.36/149.77 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 217.36/149.77 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 217.36/149.77 | % 217.36/149.77 | Instantiating (7517) with all_332_0_1663 yields: % 217.36/149.77 | (8489) (all_332_0_1663 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_1663 = 0 & mem(all_85_1_73, e) = 0) % 217.36/149.77 | % 217.36/149.77 +-Applying beta-rule and splitting (7746), into two cases. % 217.36/149.77 |-Branch one: % 217.36/149.78 | (7901) all_289_0_1494 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (7901) yields: % 217.36/149.78 | (7902) all_289_0_1494 = 0 % 217.36/149.78 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.36/149.78 | (478) all_135_1_87 = all_0_5_5 % 217.36/149.78 | % 217.36/149.78 | From (478) and (231) follows: % 217.36/149.78 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 217.36/149.78 | % 217.36/149.78 +-Applying beta-rule and splitting (8270), into two cases. % 217.36/149.78 |-Branch one: % 217.36/149.78 | (8397) all_297_0_1606 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (8397) yields: % 217.36/149.78 | (8398) all_297_0_1606 = 0 % 217.36/149.78 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.36/149.78 | (483) all_181_1_101 = all_0_5_5 % 217.36/149.78 | % 217.36/149.78 | From (483) and (260) follows: % 217.36/149.78 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.36/149.78 | (261) all_135_0_86 = 0 % 217.36/149.78 | % 217.36/149.78 | Equations (261) can reduce 230 to: % 217.36/149.78 | (175) $false % 217.36/149.78 | % 217.36/149.78 |-The branch is then unsatisfiable % 217.36/149.78 |-Branch two: % 217.36/149.78 | (8436) all_297_0_1606 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (8436) yields: % 217.36/149.78 | (8398) all_297_0_1606 = 0 % 217.36/149.78 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.36/149.78 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.36/149.78 | % 217.36/149.78 | Instantiating (490) with all_351_0_1664 yields: % 217.36/149.78 | (8506) (all_351_0_1664 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_1664 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.36/149.78 | % 217.36/149.78 +-Applying beta-rule and splitting (8347), into two cases. % 217.36/149.78 |-Branch one: % 217.36/149.78 | (8358) all_313_0_1619 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (8358) yields: % 217.36/149.78 | (8359) all_313_0_1619 = 0 % 217.36/149.78 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.36/149.78 | (507) all_212_1_107 = all_0_5_5 % 217.36/149.78 | % 217.36/149.78 | From (507) and (286) follows: % 217.36/149.78 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.36/149.78 | (261) all_135_0_86 = 0 % 217.36/149.78 | % 217.36/149.78 | Equations (261) can reduce 230 to: % 217.36/149.78 | (175) $false % 217.36/149.78 | % 217.36/149.78 |-The branch is then unsatisfiable % 217.36/149.78 |-Branch two: % 217.36/149.78 | (8365) all_313_0_1619 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (8365) yields: % 217.36/149.78 | (8359) all_313_0_1619 = 0 % 217.36/149.78 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.36/149.78 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.36/149.78 | % 217.36/149.78 | Instantiating (514) with all_376_0_1669 yields: % 217.36/149.78 | (8518) (all_376_0_1669 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_376_0_1669 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.36/149.78 | % 217.36/149.78 +-Applying beta-rule and splitting (8489), into two cases. % 217.36/149.78 |-Branch one: % 217.36/149.78 | (8519) all_332_0_1663 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (8519) yields: % 217.36/149.78 | (8520) all_332_0_1663 = 0 % 217.36/149.78 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.36/149.78 | (7551) all_85_1_73 = e % 217.36/149.78 | % 217.36/149.78 | From (7551) and (184) follows: % 217.36/149.78 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.36/149.78 | % 217.36/149.78 +-Applying beta-rule and splitting (8506), into two cases. % 217.36/149.78 |-Branch one: % 217.36/149.78 | (8524) all_351_0_1664 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (8524) yields: % 217.36/149.78 | (8525) all_351_0_1664 = 0 % 217.36/149.78 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.36/149.78 | (519) all_181_1_101 = all_0_6_6 % 217.36/149.78 | % 217.36/149.78 | From (519) and (259) follows: % 217.36/149.78 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 217.36/149.78 | % 217.36/149.78 +-Applying beta-rule and splitting (8518), into two cases. % 217.36/149.78 |-Branch one: % 217.36/149.78 | (8529) all_376_0_1669 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (8529) yields: % 217.36/149.78 | (8530) all_376_0_1669 = 0 % 217.36/149.78 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.36/149.78 | (524) all_212_1_107 = all_0_6_6 % 217.36/149.78 | % 217.36/149.78 | From (524) and (281) follows: % 217.36/149.78 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 217.36/149.78 | % 217.36/149.78 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 217.36/149.78 | (526) all_181_0_100 = 0 % 217.36/149.78 | % 217.36/149.78 | Equations (526) can reduce 258 to: % 217.36/149.78 | (175) $false % 217.36/149.78 | % 217.36/149.78 |-The branch is then unsatisfiable % 217.36/149.78 |-Branch two: % 217.36/149.78 | (8536) all_376_0_1669 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.36/149.78 | % 217.36/149.78 | Applying alpha-rule on (8536) yields: % 217.39/149.78 | (8530) all_376_0_1669 = 0 % 217.39/149.78 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.39/149.78 | % 217.39/149.78 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.39/149.78 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.39/149.78 | % 217.39/149.78 | Instantiating (531) with all_406_0_1670 yields: % 217.39/149.78 | (8540) (all_406_0_1670 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_406_0_1670 = 0 & mem(all_212_1_107, e) = 0) % 217.39/149.78 | % 217.39/149.78 +-Applying beta-rule and splitting (8540), into two cases. % 217.39/149.78 |-Branch one: % 217.39/149.79 | (8541) all_406_0_1670 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.39/149.79 | % 217.39/149.79 | Applying alpha-rule on (8541) yields: % 217.39/149.79 | (8542) all_406_0_1670 = 0 % 217.39/149.79 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.39/149.79 | (536) all_212_1_107 = e % 217.39/149.79 | % 217.39/149.79 | From (536) and (6141) follows: % 217.39/149.79 | (6440) mem(all_244_1_1231, e) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.39/149.79 | (538) $false % 217.39/149.79 | % 217.39/149.79 |-The branch is then unsatisfiable % 217.39/149.79 |-Branch two: % 217.39/149.79 | (8547) all_406_0_1670 = 0 & mem(all_212_1_107, e) = 0 % 217.39/149.79 | % 217.39/149.79 | Applying alpha-rule on (8547) yields: % 217.39/149.79 | (8542) all_406_0_1670 = 0 % 217.39/149.79 | (541) mem(all_212_1_107, e) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.39/149.79 | (538) $false % 217.39/149.79 | % 217.39/149.79 |-The branch is then unsatisfiable % 217.39/149.79 |-Branch two: % 217.39/149.79 | (8551) all_351_0_1664 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.39/149.79 | % 217.39/149.79 | Applying alpha-rule on (8551) yields: % 217.39/149.79 | (8525) all_351_0_1664 = 0 % 217.39/149.79 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.39/149.79 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.39/149.79 | % 217.39/149.79 | Instantiating (546) with all_395_0_1671 yields: % 217.39/149.79 | (8555) (all_395_0_1671 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_395_0_1671 = 0 & mem(all_181_1_101, e) = 0) % 217.39/149.79 | % 217.39/149.79 +-Applying beta-rule and splitting (8555), into two cases. % 217.39/149.79 |-Branch one: % 217.39/149.79 | (8556) all_395_0_1671 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.39/149.79 | % 217.39/149.79 | Applying alpha-rule on (8556) yields: % 217.39/149.79 | (8557) all_395_0_1671 = 0 % 217.39/149.79 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.39/149.79 | (588) all_181_1_101 = e % 217.39/149.79 | % 217.39/149.79 | From (588) and (287) follows: % 217.39/149.79 | (7594) mem(e, all_57_1_62) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.39/149.79 | (212) all_85_0_72 = 0 % 217.39/149.79 | % 217.39/149.79 | Equations (212) can reduce 183 to: % 217.39/149.79 | (175) $false % 217.39/149.79 | % 217.39/149.79 |-The branch is then unsatisfiable % 217.39/149.79 |-Branch two: % 217.39/149.79 | (8563) all_395_0_1671 = 0 & mem(all_181_1_101, e) = 0 % 217.39/149.79 | % 217.39/149.79 | Applying alpha-rule on (8563) yields: % 217.39/149.79 | (8557) all_395_0_1671 = 0 % 217.39/149.79 | (603) mem(all_181_1_101, e) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.39/149.79 | (538) $false % 217.39/149.79 | % 217.39/149.79 |-The branch is then unsatisfiable % 217.39/149.79 |-Branch two: % 217.39/149.79 | (8567) all_332_0_1663 = 0 & mem(all_85_1_73, e) = 0 % 217.39/149.79 | % 217.39/149.79 | Applying alpha-rule on (8567) yields: % 217.39/149.79 | (8520) all_332_0_1663 = 0 % 217.39/149.79 | (7603) mem(all_85_1_73, e) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.39/149.79 | (538) $false % 217.39/149.79 | % 217.39/149.79 |-The branch is then unsatisfiable % 217.39/149.79 |-Branch two: % 217.39/149.79 | (7940) all_289_0_1494 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.39/149.79 | % 217.39/149.79 | Applying alpha-rule on (7940) yields: % 217.39/149.79 | (7902) all_289_0_1494 = 0 % 217.39/149.79 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.39/149.79 | % 217.39/149.79 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.39/149.79 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.39/149.79 | % 217.39/149.79 | Instantiating (608) with all_340_0_1678 yields: % 217.39/149.79 | (8575) (all_340_0_1678 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_1678 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.39/149.79 | % 217.39/149.79 +-Applying beta-rule and splitting (8270), into two cases. % 217.39/149.79 |-Branch one: % 217.39/149.79 | (8397) all_297_0_1606 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.39/149.79 | % 217.39/149.80 | Applying alpha-rule on (8397) yields: % 217.39/149.80 | (8398) all_297_0_1606 = 0 % 217.39/149.80 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.39/149.80 | (483) all_181_1_101 = all_0_5_5 % 217.39/149.80 | % 217.39/149.80 | From (483) and (259) follows: % 217.39/149.80 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 217.39/149.80 | % 217.39/149.80 +-Applying beta-rule and splitting (8347), into two cases. % 217.39/149.80 |-Branch one: % 217.39/149.80 | (8358) all_313_0_1619 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.39/149.80 | % 217.39/149.80 | Applying alpha-rule on (8358) yields: % 217.39/149.80 | (8359) all_313_0_1619 = 0 % 217.39/149.80 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.39/149.80 | (507) all_212_1_107 = all_0_5_5 % 217.39/149.80 | % 217.39/149.80 | From (507) and (281) follows: % 217.39/149.80 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 217.39/149.80 | (526) all_181_0_100 = 0 % 217.39/149.80 | % 217.39/149.80 | Equations (526) can reduce 258 to: % 217.39/149.80 | (175) $false % 217.39/149.80 | % 217.39/149.80 |-The branch is then unsatisfiable % 217.39/149.80 |-Branch two: % 217.39/149.80 | (8365) all_313_0_1619 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.39/149.80 | % 217.39/149.80 | Applying alpha-rule on (8365) yields: % 217.39/149.80 | (8359) all_313_0_1619 = 0 % 217.39/149.80 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.39/149.80 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.39/149.80 | % 217.39/149.80 | Instantiating (514) with all_376_0_1683 yields: % 217.39/149.80 | (8592) (all_376_0_1683 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_376_0_1683 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.39/149.80 | % 217.39/149.80 +-Applying beta-rule and splitting (8489), into two cases. % 217.39/149.80 |-Branch one: % 217.39/149.80 | (8519) all_332_0_1663 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.39/149.80 | % 217.39/149.80 | Applying alpha-rule on (8519) yields: % 217.39/149.80 | (8520) all_332_0_1663 = 0 % 217.39/149.80 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.39/149.80 | (7551) all_85_1_73 = e % 217.39/149.80 | % 217.39/149.80 | From (7551) and (184) follows: % 217.39/149.80 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.39/149.80 | % 217.39/149.80 +-Applying beta-rule and splitting (8575), into two cases. % 217.39/149.80 |-Branch one: % 217.39/149.80 | (8598) all_340_0_1678 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.39/149.80 | % 217.39/149.80 | Applying alpha-rule on (8598) yields: % 217.39/149.80 | (8599) all_340_0_1678 = 0 % 217.39/149.80 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.39/149.80 | (642) all_135_1_87 = all_0_6_6 % 217.39/149.80 | % 217.39/149.80 | From (642) and (231) follows: % 217.39/149.80 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.39/149.80 | % 217.39/149.80 +-Applying beta-rule and splitting (8592), into two cases. % 217.39/149.80 |-Branch one: % 217.39/149.80 | (8603) all_376_0_1683 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.39/149.80 | % 217.39/149.80 | Applying alpha-rule on (8603) yields: % 217.39/149.80 | (8604) all_376_0_1683 = 0 % 217.39/149.80 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.39/149.80 | (524) all_212_1_107 = all_0_6_6 % 217.39/149.80 | % 217.39/149.80 | From (524) and (286) follows: % 217.39/149.80 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.39/149.80 | (261) all_135_0_86 = 0 % 217.39/149.80 | % 217.39/149.80 | Equations (261) can reduce 230 to: % 217.39/149.80 | (175) $false % 217.39/149.80 | % 217.39/149.80 |-The branch is then unsatisfiable % 217.39/149.80 |-Branch two: % 217.39/149.80 | (8610) all_376_0_1683 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.39/149.80 | % 217.39/149.80 | Applying alpha-rule on (8610) yields: % 217.39/149.80 | (8604) all_376_0_1683 = 0 % 217.39/149.80 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.39/149.80 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.39/149.80 | % 217.39/149.80 | Instantiating (531) with all_406_0_1684 yields: % 217.39/149.80 | (8614) (all_406_0_1684 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_406_0_1684 = 0 & mem(all_212_1_107, e) = 0) % 217.39/149.80 | % 217.39/149.80 +-Applying beta-rule and splitting (8614), into two cases. % 217.39/149.80 |-Branch one: % 217.39/149.80 | (8615) all_406_0_1684 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.39/149.80 | % 217.39/149.80 | Applying alpha-rule on (8615) yields: % 217.39/149.80 | (8616) all_406_0_1684 = 0 % 217.39/149.80 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.39/149.80 | (536) all_212_1_107 = e % 217.39/149.80 | % 217.39/149.80 | From (536) and (6141) follows: % 217.39/149.80 | (6440) mem(all_244_1_1231, e) = 0 % 217.39/149.80 | % 217.39/149.80 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.39/149.80 | (538) $false % 217.39/149.80 | % 217.39/149.80 |-The branch is then unsatisfiable % 217.39/149.80 |-Branch two: % 217.39/149.80 | (8621) all_406_0_1684 = 0 & mem(all_212_1_107, e) = 0 % 217.39/149.80 | % 217.39/149.80 | Applying alpha-rule on (8621) yields: % 217.39/149.81 | (8616) all_406_0_1684 = 0 % 217.39/149.81 | (541) mem(all_212_1_107, e) = 0 % 217.39/149.81 | % 217.39/149.81 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.39/149.81 | (538) $false % 217.39/149.81 | % 217.39/149.81 |-The branch is then unsatisfiable % 217.39/149.81 |-Branch two: % 217.39/149.81 | (8625) all_340_0_1678 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.39/149.81 | % 217.39/149.81 | Applying alpha-rule on (8625) yields: % 217.39/149.81 | (8599) all_340_0_1678 = 0 % 217.39/149.81 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.39/149.81 | % 217.39/149.81 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.39/149.81 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.39/149.81 | % 217.39/149.81 | Instantiating (669) with all_395_0_1685 yields: % 217.39/149.81 | (8629) (all_395_0_1685 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_395_0_1685 = 0 & mem(all_135_1_87, e) = 0) % 217.39/149.81 | % 217.39/149.81 +-Applying beta-rule and splitting (8629), into two cases. % 217.39/149.81 |-Branch one: % 217.39/149.81 | (8630) all_395_0_1685 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.39/149.81 | % 217.39/149.81 | Applying alpha-rule on (8630) yields: % 217.39/149.81 | (8631) all_395_0_1685 = 0 % 217.39/149.81 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.39/149.81 | % 217.39/149.81 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.39/149.81 | (711) all_135_1_87 = e % 217.39/149.81 | % 217.39/149.81 | From (711) and (241) follows: % 217.39/149.81 | (7594) mem(e, all_57_1_62) = 0 % 217.39/149.81 | % 217.39/149.81 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.39/149.81 | (212) all_85_0_72 = 0 % 217.39/149.81 | % 217.39/149.81 | Equations (212) can reduce 183 to: % 217.39/149.81 | (175) $false % 217.39/149.81 | % 217.39/149.81 |-The branch is then unsatisfiable % 217.39/149.81 |-Branch two: % 217.39/149.81 | (8637) all_395_0_1685 = 0 & mem(all_135_1_87, e) = 0 % 217.39/149.81 | % 217.39/149.81 | Applying alpha-rule on (8637) yields: % 217.39/149.81 | (8631) all_395_0_1685 = 0 % 217.39/149.81 | (726) mem(all_135_1_87, e) = 0 % 217.39/149.81 | % 217.39/149.81 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.39/149.81 | (538) $false % 217.39/149.81 | % 217.39/149.81 |-The branch is then unsatisfiable % 217.39/149.81 |-Branch two: % 217.39/149.81 | (8567) all_332_0_1663 = 0 & mem(all_85_1_73, e) = 0 % 217.39/149.81 | % 217.39/149.81 | Applying alpha-rule on (8567) yields: % 217.39/149.81 | (8520) all_332_0_1663 = 0 % 217.39/149.81 | (7603) mem(all_85_1_73, e) = 0 % 217.39/149.81 | % 217.39/149.81 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.39/149.81 | (538) $false % 217.39/149.81 | % 217.39/149.81 |-The branch is then unsatisfiable % 217.39/149.81 |-Branch two: % 217.39/149.81 | (8436) all_297_0_1606 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.39/149.81 | % 217.39/149.81 | Applying alpha-rule on (8436) yields: % 217.39/149.81 | (8398) all_297_0_1606 = 0 % 217.39/149.81 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.39/149.81 | % 217.39/149.81 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.39/149.81 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.39/149.81 | % 217.39/149.81 | Instantiating (490) with all_348_0_1692 yields: % 217.39/149.81 | (8649) (all_348_0_1692 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_348_0_1692 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.39/149.81 | % 217.39/149.81 +-Applying beta-rule and splitting (8489), into two cases. % 217.39/149.81 |-Branch one: % 217.39/149.81 | (8519) all_332_0_1663 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.39/149.81 | % 217.39/149.81 | Applying alpha-rule on (8519) yields: % 217.39/149.81 | (8520) all_332_0_1663 = 0 % 217.39/149.81 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.39/149.81 | % 217.39/149.81 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.39/149.81 | (7551) all_85_1_73 = e % 217.39/149.81 | % 217.39/149.81 | From (7551) and (184) follows: % 217.39/149.81 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.39/149.81 | % 217.39/149.81 +-Applying beta-rule and splitting (8575), into two cases. % 217.39/149.81 |-Branch one: % 217.39/149.81 | (8598) all_340_0_1678 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.39/149.81 | % 217.39/149.81 | Applying alpha-rule on (8598) yields: % 217.39/149.82 | (8599) all_340_0_1678 = 0 % 217.39/149.82 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.39/149.82 | (642) all_135_1_87 = all_0_6_6 % 217.39/149.82 | % 217.39/149.82 | From (642) and (231) follows: % 217.39/149.82 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.39/149.82 | % 217.39/149.82 +-Applying beta-rule and splitting (8649), into two cases. % 217.39/149.82 |-Branch one: % 217.39/149.82 | (8660) all_348_0_1692 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.39/149.82 | % 217.39/149.82 | Applying alpha-rule on (8660) yields: % 217.39/149.82 | (8661) all_348_0_1692 = 0 % 217.39/149.82 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.39/149.82 | (519) all_181_1_101 = all_0_6_6 % 217.39/149.82 | % 217.39/149.82 | From (519) and (260) follows: % 217.39/149.82 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.39/149.82 | (261) all_135_0_86 = 0 % 217.39/149.82 | % 217.39/149.82 | Equations (261) can reduce 230 to: % 217.39/149.82 | (175) $false % 217.39/149.82 | % 217.39/149.82 |-The branch is then unsatisfiable % 217.39/149.82 |-Branch two: % 217.39/149.82 | (8667) all_348_0_1692 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.39/149.82 | % 217.39/149.82 | Applying alpha-rule on (8667) yields: % 217.39/149.82 | (8661) all_348_0_1692 = 0 % 217.39/149.82 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.39/149.82 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.39/149.82 | % 217.39/149.82 | Instantiating (546) with all_429_0_1709 yields: % 217.39/149.82 | (8671) (all_429_0_1709 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_429_0_1709 = 0 & mem(all_181_1_101, e) = 0) % 217.39/149.82 | % 217.39/149.82 +-Applying beta-rule and splitting (8671), into two cases. % 217.39/149.82 |-Branch one: % 217.39/149.82 | (8672) all_429_0_1709 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.39/149.82 | % 217.39/149.82 | Applying alpha-rule on (8672) yields: % 217.39/149.82 | (8673) all_429_0_1709 = 0 % 217.39/149.82 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.39/149.82 | (588) all_181_1_101 = e % 217.39/149.82 | % 217.39/149.82 | From (588) and (287) follows: % 217.39/149.82 | (7594) mem(e, all_57_1_62) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.39/149.82 | (212) all_85_0_72 = 0 % 217.39/149.82 | % 217.39/149.82 | Equations (212) can reduce 183 to: % 217.39/149.82 | (175) $false % 217.39/149.82 | % 217.39/149.82 |-The branch is then unsatisfiable % 217.39/149.82 |-Branch two: % 217.39/149.82 | (8679) all_429_0_1709 = 0 & mem(all_181_1_101, e) = 0 % 217.39/149.82 | % 217.39/149.82 | Applying alpha-rule on (8679) yields: % 217.39/149.82 | (8673) all_429_0_1709 = 0 % 217.39/149.82 | (603) mem(all_181_1_101, e) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.39/149.82 | (538) $false % 217.39/149.82 | % 217.39/149.82 |-The branch is then unsatisfiable % 217.39/149.82 |-Branch two: % 217.39/149.82 | (8625) all_340_0_1678 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.39/149.82 | % 217.39/149.82 | Applying alpha-rule on (8625) yields: % 217.39/149.82 | (8599) all_340_0_1678 = 0 % 217.39/149.82 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.39/149.82 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.39/149.82 | % 217.39/149.82 | Instantiating (669) with all_417_0_1710 yields: % 217.39/149.82 | (8687) (all_417_0_1710 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_417_0_1710 = 0 & mem(all_135_1_87, e) = 0) % 217.39/149.82 | % 217.39/149.82 +-Applying beta-rule and splitting (8687), into two cases. % 217.39/149.82 |-Branch one: % 217.39/149.82 | (8688) all_417_0_1710 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.39/149.82 | % 217.39/149.82 | Applying alpha-rule on (8688) yields: % 217.39/149.82 | (8689) all_417_0_1710 = 0 % 217.39/149.82 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.39/149.82 | (711) all_135_1_87 = e % 217.39/149.82 | % 217.39/149.82 | From (711) and (241) follows: % 217.39/149.82 | (7594) mem(e, all_57_1_62) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.39/149.82 | (212) all_85_0_72 = 0 % 217.39/149.82 | % 217.39/149.82 | Equations (212) can reduce 183 to: % 217.39/149.82 | (175) $false % 217.39/149.82 | % 217.39/149.82 |-The branch is then unsatisfiable % 217.39/149.82 |-Branch two: % 217.39/149.82 | (8695) all_417_0_1710 = 0 & mem(all_135_1_87, e) = 0 % 217.39/149.82 | % 217.39/149.82 | Applying alpha-rule on (8695) yields: % 217.39/149.82 | (8689) all_417_0_1710 = 0 % 217.39/149.82 | (726) mem(all_135_1_87, e) = 0 % 217.39/149.82 | % 217.39/149.82 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.39/149.82 | (538) $false % 217.39/149.82 | % 217.39/149.82 |-The branch is then unsatisfiable % 217.39/149.82 |-Branch two: % 217.39/149.82 | (8567) all_332_0_1663 = 0 & mem(all_85_1_73, e) = 0 % 217.39/149.82 | % 217.39/149.82 | Applying alpha-rule on (8567) yields: % 217.39/149.82 | (8520) all_332_0_1663 = 0 % 217.39/149.83 | (7603) mem(all_85_1_73, e) = 0 % 217.39/149.83 | % 217.39/149.83 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.39/149.83 | (538) $false % 217.39/149.83 | % 217.39/149.83 |-The branch is then unsatisfiable % 217.44/149.83 |-Branch two: % 217.44/149.83 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 217.44/149.83 | % 217.44/149.83 | Applying alpha-rule on (6306) yields: % 217.44/149.83 | (6240) all_259_0_1233 = 0 % 217.44/149.83 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 217.44/149.83 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 217.44/149.83 | % 217.44/149.83 | Instantiating (437) with all_305_0_1714 yields: % 217.44/149.83 | (8707) (all_305_0_1714 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_305_0_1714 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 217.44/149.83 | % 217.44/149.83 +-Applying beta-rule and splitting (7150), into two cases. % 217.44/149.83 |-Branch one: % 217.44/149.83 | (7372) all_281_0_1378 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 217.44/149.83 | % 217.44/149.83 | Applying alpha-rule on (7372) yields: % 217.44/149.83 | (7373) all_281_0_1378 = 0 % 217.44/149.83 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 217.44/149.83 | (7375) all_85_1_73 = all_0_6_6 % 217.44/149.83 | % 217.44/149.83 | From (7375) and (184) follows: % 217.44/149.83 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 217.44/149.83 | % 217.44/149.83 +-Applying beta-rule and splitting (7746), into two cases. % 217.44/149.83 |-Branch one: % 217.44/149.83 | (7901) all_289_0_1494 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.44/149.83 | % 217.44/149.83 | Applying alpha-rule on (7901) yields: % 217.44/149.83 | (7902) all_289_0_1494 = 0 % 217.44/149.83 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.44/149.83 | (478) all_135_1_87 = all_0_5_5 % 217.44/149.83 | % 217.44/149.83 | From (478) and (231) follows: % 217.44/149.83 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 217.44/149.83 | % 217.44/149.83 +-Applying beta-rule and splitting (8270), into two cases. % 217.44/149.83 |-Branch one: % 217.44/149.83 | (8397) all_297_0_1606 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.44/149.83 | % 217.44/149.83 | Applying alpha-rule on (8397) yields: % 217.44/149.83 | (8398) all_297_0_1606 = 0 % 217.44/149.83 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.44/149.83 | (483) all_181_1_101 = all_0_5_5 % 217.44/149.83 | % 217.44/149.83 | From (483) and (260) follows: % 217.44/149.83 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.44/149.83 | (261) all_135_0_86 = 0 % 217.44/149.83 | % 217.44/149.83 | Equations (261) can reduce 230 to: % 217.44/149.83 | (175) $false % 217.44/149.83 | % 217.44/149.83 |-The branch is then unsatisfiable % 217.44/149.83 |-Branch two: % 217.44/149.83 | (8436) all_297_0_1606 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.44/149.83 | % 217.44/149.83 | Applying alpha-rule on (8436) yields: % 217.44/149.83 | (8398) all_297_0_1606 = 0 % 217.44/149.83 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.44/149.83 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.44/149.83 | % 217.44/149.83 | Instantiating (490) with all_354_0_1716 yields: % 217.44/149.83 | (8729) (all_354_0_1716 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_354_0_1716 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.44/149.83 | % 217.44/149.83 +-Applying beta-rule and splitting (8707), into two cases. % 217.44/149.83 |-Branch one: % 217.44/149.83 | (8730) all_305_0_1714 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.44/149.83 | % 217.44/149.83 | Applying alpha-rule on (8730) yields: % 217.44/149.83 | (8731) all_305_0_1714 = 0 % 217.44/149.83 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.44/149.83 | (495) all_165_2_96 = all_0_5_5 % 217.44/149.83 | % 217.44/149.83 | From (495) and (268) follows: % 217.44/149.83 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.44/149.83 | (261) all_135_0_86 = 0 % 217.44/149.83 | % 217.44/149.83 | Equations (261) can reduce 230 to: % 217.44/149.83 | (175) $false % 217.44/149.83 | % 217.44/149.83 |-The branch is then unsatisfiable % 217.44/149.83 |-Branch two: % 217.44/149.83 | (8737) all_305_0_1714 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.44/149.83 | % 217.44/149.83 | Applying alpha-rule on (8737) yields: % 217.44/149.83 | (8731) all_305_0_1714 = 0 % 217.44/149.83 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.44/149.83 | % 217.44/149.83 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.44/149.83 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.44/149.83 | % 217.44/149.83 | Instantiating (502) with all_362_0_1717 yields: % 217.44/149.83 | (8741) (all_362_0_1717 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_1717 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.44/149.83 | % 217.44/149.83 +-Applying beta-rule and splitting (8729), into two cases. % 217.44/149.83 |-Branch one: % 217.44/149.83 | (8742) all_354_0_1716 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.44/149.83 | % 217.44/149.84 | Applying alpha-rule on (8742) yields: % 217.44/149.84 | (8743) all_354_0_1716 = 0 % 217.44/149.84 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.44/149.84 | (519) all_181_1_101 = all_0_6_6 % 217.44/149.84 | % 217.44/149.84 | From (519) and (287) follows: % 217.44/149.84 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.44/149.84 | (212) all_85_0_72 = 0 % 217.44/149.84 | % 217.44/149.84 | Equations (212) can reduce 183 to: % 217.44/149.84 | (175) $false % 217.44/149.84 | % 217.44/149.84 |-The branch is then unsatisfiable % 217.44/149.84 |-Branch two: % 217.44/149.84 | (8749) all_354_0_1716 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.44/149.84 | % 217.44/149.84 | Applying alpha-rule on (8749) yields: % 217.44/149.84 | (8743) all_354_0_1716 = 0 % 217.44/149.84 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.44/149.84 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.44/149.84 | % 217.44/149.84 | Instantiating (546) with all_399_0_1722 yields: % 217.44/149.84 | (8753) (all_399_0_1722 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_399_0_1722 = 0 & mem(all_181_1_101, e) = 0) % 217.44/149.84 | % 217.44/149.84 +-Applying beta-rule and splitting (8741), into two cases. % 217.44/149.84 |-Branch one: % 217.44/149.84 | (8754) all_362_0_1717 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.44/149.84 | % 217.44/149.84 | Applying alpha-rule on (8754) yields: % 217.44/149.84 | (8755) all_362_0_1717 = 0 % 217.44/149.84 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.44/149.84 | (551) all_165_2_96 = all_0_6_6 % 217.44/149.84 | % 217.44/149.84 | From (551) and (303) follows: % 217.44/149.84 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.44/149.84 | (212) all_85_0_72 = 0 % 217.44/149.84 | % 217.44/149.84 | Equations (212) can reduce 183 to: % 217.44/149.84 | (175) $false % 217.44/149.84 | % 217.44/149.84 |-The branch is then unsatisfiable % 217.44/149.84 |-Branch two: % 217.44/149.84 | (8761) all_362_0_1717 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.44/149.84 | % 217.44/149.84 | Applying alpha-rule on (8761) yields: % 217.44/149.84 | (8755) all_362_0_1717 = 0 % 217.44/149.84 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.44/149.84 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.44/149.84 | % 217.44/149.84 | Instantiating (583) with all_407_0_1723 yields: % 217.44/149.84 | (8765) (all_407_0_1723 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_1723 = 0 & mem(all_165_2_96, e) = 0) % 217.44/149.84 | % 217.44/149.84 +-Applying beta-rule and splitting (8753), into two cases. % 217.44/149.84 |-Branch one: % 217.44/149.84 | (8766) all_399_0_1722 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.44/149.84 | % 217.44/149.84 | Applying alpha-rule on (8766) yields: % 217.44/149.84 | (8767) all_399_0_1722 = 0 % 217.44/149.84 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.44/149.84 | (588) all_181_1_101 = e % 217.44/149.84 | % 217.44/149.84 | From (588) and (259) follows: % 217.44/149.84 | (589) mem(e, all_129_1_85) = all_181_0_100 % 217.44/149.84 | % 217.44/149.84 +-Applying beta-rule and splitting (8765), into two cases. % 217.44/149.84 |-Branch one: % 217.44/149.84 | (8771) all_407_0_1723 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.44/149.84 | % 217.44/149.84 | Applying alpha-rule on (8771) yields: % 217.44/149.84 | (8772) all_407_0_1723 = 0 % 217.44/149.84 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.44/149.84 | (593) all_165_2_96 = e % 217.44/149.84 | % 217.44/149.84 | From (593) and (248) follows: % 217.44/149.84 | (594) mem(e, all_129_1_85) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 217.44/149.84 | (526) all_181_0_100 = 0 % 217.44/149.84 | % 217.44/149.84 | Equations (526) can reduce 258 to: % 217.44/149.84 | (175) $false % 217.44/149.84 | % 217.44/149.84 |-The branch is then unsatisfiable % 217.44/149.84 |-Branch two: % 217.44/149.84 | (8778) all_407_0_1723 = 0 & mem(all_165_2_96, e) = 0 % 217.44/149.84 | % 217.44/149.84 | Applying alpha-rule on (8778) yields: % 217.44/149.84 | (8772) all_407_0_1723 = 0 % 217.44/149.84 | (599) mem(all_165_2_96, e) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.44/149.84 | (538) $false % 217.44/149.84 | % 217.44/149.84 |-The branch is then unsatisfiable % 217.44/149.84 |-Branch two: % 217.44/149.84 | (8782) all_399_0_1722 = 0 & mem(all_181_1_101, e) = 0 % 217.44/149.84 | % 217.44/149.84 | Applying alpha-rule on (8782) yields: % 217.44/149.84 | (8767) all_399_0_1722 = 0 % 217.44/149.84 | (603) mem(all_181_1_101, e) = 0 % 217.44/149.84 | % 217.44/149.84 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.44/149.84 | (538) $false % 217.44/149.84 | % 217.44/149.84 |-The branch is then unsatisfiable % 217.44/149.84 |-Branch two: % 217.44/149.85 | (7940) all_289_0_1494 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.44/149.85 | % 217.44/149.85 | Applying alpha-rule on (7940) yields: % 217.44/149.85 | (7902) all_289_0_1494 = 0 % 217.44/149.85 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.44/149.85 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.44/149.85 | % 217.44/149.85 | Instantiating (608) with all_343_0_1724 yields: % 217.44/149.85 | (8790) (all_343_0_1724 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_343_0_1724 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.44/149.85 | % 217.44/149.85 +-Applying beta-rule and splitting (8270), into two cases. % 217.44/149.85 |-Branch one: % 217.44/149.85 | (8397) all_297_0_1606 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.44/149.85 | % 217.44/149.85 | Applying alpha-rule on (8397) yields: % 217.44/149.85 | (8398) all_297_0_1606 = 0 % 217.44/149.85 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.44/149.85 | (483) all_181_1_101 = all_0_5_5 % 217.44/149.85 | % 217.44/149.85 | From (483) and (259) follows: % 217.44/149.85 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 217.44/149.85 | % 217.44/149.85 +-Applying beta-rule and splitting (8707), into two cases. % 217.44/149.85 |-Branch one: % 217.44/149.85 | (8730) all_305_0_1714 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.44/149.85 | % 217.44/149.85 | Applying alpha-rule on (8730) yields: % 217.44/149.85 | (8731) all_305_0_1714 = 0 % 217.44/149.85 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.44/149.85 | (495) all_165_2_96 = all_0_5_5 % 217.44/149.85 | % 217.44/149.85 | From (495) and (248) follows: % 217.44/149.85 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 217.44/149.85 | (526) all_181_0_100 = 0 % 217.44/149.85 | % 217.44/149.85 | Equations (526) can reduce 258 to: % 217.44/149.85 | (175) $false % 217.44/149.85 | % 217.44/149.85 |-The branch is then unsatisfiable % 217.44/149.85 |-Branch two: % 217.44/149.85 | (8737) all_305_0_1714 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.44/149.85 | % 217.44/149.85 | Applying alpha-rule on (8737) yields: % 217.44/149.85 | (8731) all_305_0_1714 = 0 % 217.44/149.85 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.44/149.85 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.44/149.85 | % 217.44/149.85 | Instantiating (502) with all_362_0_1725 yields: % 217.44/149.85 | (8807) (all_362_0_1725 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_1725 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.44/149.85 | % 217.44/149.85 +-Applying beta-rule and splitting (8790), into two cases. % 217.44/149.85 |-Branch one: % 217.44/149.85 | (8808) all_343_0_1724 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.44/149.85 | % 217.44/149.85 | Applying alpha-rule on (8808) yields: % 217.44/149.85 | (8809) all_343_0_1724 = 0 % 217.44/149.85 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.44/149.85 | (642) all_135_1_87 = all_0_6_6 % 217.44/149.85 | % 217.44/149.85 | From (642) and (241) follows: % 217.44/149.85 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.44/149.85 | (212) all_85_0_72 = 0 % 217.44/149.85 | % 217.44/149.85 | Equations (212) can reduce 183 to: % 217.44/149.85 | (175) $false % 217.44/149.85 | % 217.44/149.85 |-The branch is then unsatisfiable % 217.44/149.85 |-Branch two: % 217.44/149.85 | (8815) all_343_0_1724 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.44/149.85 | % 217.44/149.85 | Applying alpha-rule on (8815) yields: % 217.44/149.85 | (8809) all_343_0_1724 = 0 % 217.44/149.85 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.44/149.85 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.44/149.85 | % 217.44/149.85 | Instantiating (669) with all_399_0_1730 yields: % 217.44/149.85 | (8819) (all_399_0_1730 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_399_0_1730 = 0 & mem(all_135_1_87, e) = 0) % 217.44/149.85 | % 217.44/149.85 +-Applying beta-rule and splitting (8807), into two cases. % 217.44/149.85 |-Branch one: % 217.44/149.85 | (8820) all_362_0_1725 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.44/149.85 | % 217.44/149.85 | Applying alpha-rule on (8820) yields: % 217.44/149.85 | (8821) all_362_0_1725 = 0 % 217.44/149.85 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.44/149.85 | (551) all_165_2_96 = all_0_6_6 % 217.44/149.85 | % 217.44/149.85 | From (551) and (303) follows: % 217.44/149.85 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.44/149.85 | (212) all_85_0_72 = 0 % 217.44/149.85 | % 217.44/149.85 | Equations (212) can reduce 183 to: % 217.44/149.85 | (175) $false % 217.44/149.85 | % 217.44/149.85 |-The branch is then unsatisfiable % 217.44/149.85 |-Branch two: % 217.44/149.85 | (8827) all_362_0_1725 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.44/149.85 | % 217.44/149.85 | Applying alpha-rule on (8827) yields: % 217.44/149.85 | (8821) all_362_0_1725 = 0 % 217.44/149.85 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.44/149.85 | % 217.44/149.85 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.44/149.85 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.44/149.85 | % 217.44/149.85 | Instantiating (583) with all_407_0_1731 yields: % 217.46/149.85 | (8831) (all_407_0_1731 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_1731 = 0 & mem(all_165_2_96, e) = 0) % 217.46/149.85 | % 217.46/149.85 +-Applying beta-rule and splitting (8819), into two cases. % 217.46/149.85 |-Branch one: % 217.46/149.85 | (8832) all_399_0_1730 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.46/149.85 | % 217.46/149.85 | Applying alpha-rule on (8832) yields: % 217.46/149.86 | (8833) all_399_0_1730 = 0 % 217.46/149.86 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.46/149.86 | (711) all_135_1_87 = e % 217.46/149.86 | % 217.46/149.86 | From (711) and (231) follows: % 217.46/149.86 | (712) mem(e, all_99_1_77) = all_135_0_86 % 217.46/149.86 | % 217.46/149.86 +-Applying beta-rule and splitting (8831), into two cases. % 217.46/149.86 |-Branch one: % 217.46/149.86 | (8837) all_407_0_1731 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.46/149.86 | % 217.46/149.86 | Applying alpha-rule on (8837) yields: % 217.46/149.86 | (8838) all_407_0_1731 = 0 % 217.46/149.86 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.46/149.86 | (593) all_165_2_96 = e % 217.46/149.86 | % 217.46/149.86 | From (593) and (268) follows: % 217.46/149.86 | (717) mem(e, all_99_1_77) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 217.46/149.86 | (261) all_135_0_86 = 0 % 217.46/149.86 | % 217.46/149.86 | Equations (261) can reduce 230 to: % 217.46/149.86 | (175) $false % 217.46/149.86 | % 217.46/149.86 |-The branch is then unsatisfiable % 217.46/149.86 |-Branch two: % 217.46/149.86 | (8844) all_407_0_1731 = 0 & mem(all_165_2_96, e) = 0 % 217.46/149.86 | % 217.46/149.86 | Applying alpha-rule on (8844) yields: % 217.46/149.86 | (8838) all_407_0_1731 = 0 % 217.46/149.86 | (599) mem(all_165_2_96, e) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.46/149.86 | (538) $false % 217.46/149.86 | % 217.46/149.86 |-The branch is then unsatisfiable % 217.46/149.86 |-Branch two: % 217.46/149.86 | (8848) all_399_0_1730 = 0 & mem(all_135_1_87, e) = 0 % 217.46/149.86 | % 217.46/149.86 | Applying alpha-rule on (8848) yields: % 217.46/149.86 | (8833) all_399_0_1730 = 0 % 217.46/149.86 | (726) mem(all_135_1_87, e) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.46/149.86 | (538) $false % 217.46/149.86 | % 217.46/149.86 |-The branch is then unsatisfiable % 217.46/149.86 |-Branch two: % 217.46/149.86 | (8436) all_297_0_1606 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.46/149.86 | % 217.46/149.86 | Applying alpha-rule on (8436) yields: % 217.46/149.86 | (8398) all_297_0_1606 = 0 % 217.46/149.86 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.46/149.86 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.46/149.86 | % 217.46/149.86 | Instantiating (490) with all_351_0_1732 yields: % 217.46/149.86 | (8856) (all_351_0_1732 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_1732 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.46/149.86 | % 217.46/149.86 +-Applying beta-rule and splitting (8790), into two cases. % 217.46/149.86 |-Branch one: % 217.46/149.86 | (8808) all_343_0_1724 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.46/149.86 | % 217.46/149.86 | Applying alpha-rule on (8808) yields: % 217.46/149.86 | (8809) all_343_0_1724 = 0 % 217.46/149.86 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.46/149.86 | (642) all_135_1_87 = all_0_6_6 % 217.46/149.86 | % 217.46/149.86 | From (642) and (241) follows: % 217.46/149.86 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.46/149.86 | (212) all_85_0_72 = 0 % 217.46/149.86 | % 217.46/149.86 | Equations (212) can reduce 183 to: % 217.46/149.86 | (175) $false % 217.46/149.86 | % 217.46/149.86 |-The branch is then unsatisfiable % 217.46/149.86 |-Branch two: % 217.46/149.86 | (8815) all_343_0_1724 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.46/149.86 | % 217.46/149.86 | Applying alpha-rule on (8815) yields: % 217.46/149.86 | (8809) all_343_0_1724 = 0 % 217.46/149.86 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.46/149.86 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.46/149.86 | % 217.46/149.86 | Instantiating (669) with all_396_0_1746 yields: % 217.46/149.86 | (8868) (all_396_0_1746 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_396_0_1746 = 0 & mem(all_135_1_87, e) = 0) % 217.46/149.86 | % 217.46/149.86 +-Applying beta-rule and splitting (8856), into two cases. % 217.46/149.86 |-Branch one: % 217.46/149.86 | (8869) all_351_0_1732 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.46/149.86 | % 217.46/149.86 | Applying alpha-rule on (8869) yields: % 217.46/149.86 | (8870) all_351_0_1732 = 0 % 217.46/149.86 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.46/149.86 | (519) all_181_1_101 = all_0_6_6 % 217.46/149.86 | % 217.46/149.86 | From (519) and (287) follows: % 217.46/149.86 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.46/149.86 | % 217.46/149.86 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.46/149.86 | (212) all_85_0_72 = 0 % 217.46/149.86 | % 217.46/149.86 | Equations (212) can reduce 183 to: % 217.46/149.86 | (175) $false % 217.46/149.86 | % 217.46/149.86 |-The branch is then unsatisfiable % 217.46/149.86 |-Branch two: % 217.46/149.86 | (8876) all_351_0_1732 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.46/149.86 | % 217.46/149.87 | Applying alpha-rule on (8876) yields: % 217.46/149.87 | (8870) all_351_0_1732 = 0 % 217.46/149.87 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.46/149.87 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.46/149.87 | % 217.46/149.87 | Instantiating (546) with all_404_0_1747 yields: % 217.46/149.87 | (8880) (all_404_0_1747 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_404_0_1747 = 0 & mem(all_181_1_101, e) = 0) % 217.46/149.87 | % 217.46/149.87 +-Applying beta-rule and splitting (8868), into two cases. % 217.46/149.87 |-Branch one: % 217.46/149.87 | (8881) all_396_0_1746 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.46/149.87 | % 217.46/149.87 | Applying alpha-rule on (8881) yields: % 217.46/149.87 | (8882) all_396_0_1746 = 0 % 217.46/149.87 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.46/149.87 | (711) all_135_1_87 = e % 217.46/149.87 | % 217.46/149.87 | From (711) and (231) follows: % 217.46/149.87 | (712) mem(e, all_99_1_77) = all_135_0_86 % 217.46/149.87 | % 217.46/149.87 +-Applying beta-rule and splitting (8880), into two cases. % 217.46/149.87 |-Branch one: % 217.46/149.87 | (8886) all_404_0_1747 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.46/149.87 | % 217.46/149.87 | Applying alpha-rule on (8886) yields: % 217.46/149.87 | (8887) all_404_0_1747 = 0 % 217.46/149.87 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.46/149.87 | (588) all_181_1_101 = e % 217.46/149.87 | % 217.46/149.87 | From (588) and (260) follows: % 217.46/149.87 | (717) mem(e, all_99_1_77) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 217.46/149.87 | (261) all_135_0_86 = 0 % 217.46/149.87 | % 217.46/149.87 | Equations (261) can reduce 230 to: % 217.46/149.87 | (175) $false % 217.46/149.87 | % 217.46/149.87 |-The branch is then unsatisfiable % 217.46/149.87 |-Branch two: % 217.46/149.87 | (8893) all_404_0_1747 = 0 & mem(all_181_1_101, e) = 0 % 217.46/149.87 | % 217.46/149.87 | Applying alpha-rule on (8893) yields: % 217.46/149.87 | (8887) all_404_0_1747 = 0 % 217.46/149.87 | (603) mem(all_181_1_101, e) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.46/149.87 | (538) $false % 217.46/149.87 | % 217.46/149.87 |-The branch is then unsatisfiable % 217.46/149.87 |-Branch two: % 217.46/149.87 | (8897) all_396_0_1746 = 0 & mem(all_135_1_87, e) = 0 % 217.46/149.87 | % 217.46/149.87 | Applying alpha-rule on (8897) yields: % 217.46/149.87 | (8882) all_396_0_1746 = 0 % 217.46/149.87 | (726) mem(all_135_1_87, e) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.46/149.87 | (538) $false % 217.46/149.87 | % 217.46/149.87 |-The branch is then unsatisfiable % 217.46/149.87 |-Branch two: % 217.46/149.87 | (7514) all_281_0_1378 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 217.46/149.87 | % 217.46/149.87 | Applying alpha-rule on (7514) yields: % 217.46/149.87 | (7373) all_281_0_1378 = 0 % 217.46/149.87 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 217.46/149.87 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 217.46/149.87 | % 217.46/149.87 | Instantiating (7517) with all_332_0_1749 yields: % 217.46/149.87 | (8905) (all_332_0_1749 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_1749 = 0 & mem(all_85_1_73, e) = 0) % 217.46/149.87 | % 217.46/149.87 +-Applying beta-rule and splitting (7746), into two cases. % 217.46/149.87 |-Branch one: % 217.46/149.87 | (7901) all_289_0_1494 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.46/149.87 | % 217.46/149.87 | Applying alpha-rule on (7901) yields: % 217.46/149.87 | (7902) all_289_0_1494 = 0 % 217.46/149.87 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.46/149.87 | (478) all_135_1_87 = all_0_5_5 % 217.46/149.87 | % 217.46/149.87 | From (478) and (231) follows: % 217.46/149.87 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 217.46/149.87 | % 217.46/149.87 +-Applying beta-rule and splitting (8270), into two cases. % 217.46/149.87 |-Branch one: % 217.46/149.87 | (8397) all_297_0_1606 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.46/149.87 | % 217.46/149.87 | Applying alpha-rule on (8397) yields: % 217.46/149.87 | (8398) all_297_0_1606 = 0 % 217.46/149.87 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.46/149.87 | (483) all_181_1_101 = all_0_5_5 % 217.46/149.87 | % 217.46/149.87 | From (483) and (260) follows: % 217.46/149.87 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.46/149.87 | % 217.46/149.87 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.46/149.87 | (261) all_135_0_86 = 0 % 217.46/149.87 | % 217.46/149.87 | Equations (261) can reduce 230 to: % 217.46/149.87 | (175) $false % 217.46/149.87 | % 217.46/149.87 |-The branch is then unsatisfiable % 217.46/149.87 |-Branch two: % 217.46/149.87 | (8436) all_297_0_1606 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.46/149.87 | % 217.46/149.87 | Applying alpha-rule on (8436) yields: % 217.46/149.88 | (8398) all_297_0_1606 = 0 % 217.46/149.88 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.46/149.88 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.46/149.88 | % 217.46/149.88 | Instantiating (490) with all_351_0_1750 yields: % 217.46/149.88 | (8922) (all_351_0_1750 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_1750 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.46/149.88 | % 217.46/149.88 +-Applying beta-rule and splitting (8707), into two cases. % 217.46/149.88 |-Branch one: % 217.46/149.88 | (8730) all_305_0_1714 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.46/149.88 | % 217.46/149.88 | Applying alpha-rule on (8730) yields: % 217.46/149.88 | (8731) all_305_0_1714 = 0 % 217.46/149.88 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.46/149.88 | (495) all_165_2_96 = all_0_5_5 % 217.46/149.88 | % 217.46/149.88 | From (495) and (268) follows: % 217.46/149.88 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 217.46/149.88 | (261) all_135_0_86 = 0 % 217.46/149.88 | % 217.46/149.88 | Equations (261) can reduce 230 to: % 217.46/149.88 | (175) $false % 217.46/149.88 | % 217.46/149.88 |-The branch is then unsatisfiable % 217.46/149.88 |-Branch two: % 217.46/149.88 | (8737) all_305_0_1714 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.46/149.88 | % 217.46/149.88 | Applying alpha-rule on (8737) yields: % 217.46/149.88 | (8731) all_305_0_1714 = 0 % 217.46/149.88 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.46/149.88 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.46/149.88 | % 217.46/149.88 | Instantiating (502) with all_359_0_1751 yields: % 217.46/149.88 | (8934) (all_359_0_1751 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_1751 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.46/149.88 | % 217.46/149.88 +-Applying beta-rule and splitting (8905), into two cases. % 217.46/149.88 |-Branch one: % 217.46/149.88 | (8935) all_332_0_1749 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.46/149.88 | % 217.46/149.88 | Applying alpha-rule on (8935) yields: % 217.46/149.88 | (8936) all_332_0_1749 = 0 % 217.46/149.88 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.46/149.88 | (7551) all_85_1_73 = e % 217.46/149.88 | % 217.46/149.88 | From (7551) and (184) follows: % 217.46/149.88 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.46/149.88 | % 217.46/149.88 +-Applying beta-rule and splitting (8922), into two cases. % 217.46/149.88 |-Branch one: % 217.46/149.88 | (8940) all_351_0_1750 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.46/149.88 | % 217.46/149.88 | Applying alpha-rule on (8940) yields: % 217.46/149.88 | (8941) all_351_0_1750 = 0 % 217.46/149.88 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.46/149.88 | (519) all_181_1_101 = all_0_6_6 % 217.46/149.88 | % 217.46/149.88 | From (519) and (259) follows: % 217.46/149.88 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 217.46/149.88 | % 217.46/149.88 +-Applying beta-rule and splitting (8934), into two cases. % 217.46/149.88 |-Branch one: % 217.46/149.88 | (8945) all_359_0_1751 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.46/149.88 | % 217.46/149.88 | Applying alpha-rule on (8945) yields: % 217.46/149.88 | (8946) all_359_0_1751 = 0 % 217.46/149.88 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.46/149.88 | (551) all_165_2_96 = all_0_6_6 % 217.46/149.88 | % 217.46/149.88 | From (551) and (248) follows: % 217.46/149.88 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 217.46/149.88 | (526) all_181_0_100 = 0 % 217.46/149.88 | % 217.46/149.88 | Equations (526) can reduce 258 to: % 217.46/149.88 | (175) $false % 217.46/149.88 | % 217.46/149.88 |-The branch is then unsatisfiable % 217.46/149.88 |-Branch two: % 217.46/149.88 | (8952) all_359_0_1751 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.46/149.88 | % 217.46/149.88 | Applying alpha-rule on (8952) yields: % 217.46/149.88 | (8946) all_359_0_1751 = 0 % 217.46/149.88 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.46/149.88 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.46/149.88 | % 217.46/149.88 | Instantiating (583) with all_414_0_1754 yields: % 217.46/149.88 | (8956) (all_414_0_1754 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_414_0_1754 = 0 & mem(all_165_2_96, e) = 0) % 217.46/149.88 | % 217.46/149.88 +-Applying beta-rule and splitting (8956), into two cases. % 217.46/149.88 |-Branch one: % 217.46/149.88 | (8957) all_414_0_1754 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.46/149.88 | % 217.46/149.88 | Applying alpha-rule on (8957) yields: % 217.46/149.88 | (8958) all_414_0_1754 = 0 % 217.46/149.88 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.46/149.88 | (593) all_165_2_96 = e % 217.46/149.88 | % 217.46/149.88 | From (593) and (303) follows: % 217.46/149.88 | (7594) mem(e, all_57_1_62) = 0 % 217.46/149.88 | % 217.46/149.88 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.46/149.88 | (212) all_85_0_72 = 0 % 217.46/149.88 | % 217.46/149.88 | Equations (212) can reduce 183 to: % 217.46/149.88 | (175) $false % 217.46/149.88 | % 217.46/149.88 |-The branch is then unsatisfiable % 217.46/149.88 |-Branch two: % 217.46/149.88 | (8964) all_414_0_1754 = 0 & mem(all_165_2_96, e) = 0 % 217.46/149.88 | % 217.46/149.88 | Applying alpha-rule on (8964) yields: % 217.46/149.89 | (8958) all_414_0_1754 = 0 % 217.46/149.89 | (599) mem(all_165_2_96, e) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.46/149.89 | (538) $false % 217.46/149.89 | % 217.46/149.89 |-The branch is then unsatisfiable % 217.46/149.89 |-Branch two: % 217.46/149.89 | (8968) all_351_0_1750 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.46/149.89 | % 217.46/149.89 | Applying alpha-rule on (8968) yields: % 217.46/149.89 | (8941) all_351_0_1750 = 0 % 217.46/149.89 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.46/149.89 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.46/149.89 | % 217.46/149.89 | Instantiating (546) with all_403_0_1755 yields: % 217.46/149.89 | (8972) (all_403_0_1755 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_403_0_1755 = 0 & mem(all_181_1_101, e) = 0) % 217.46/149.89 | % 217.46/149.89 +-Applying beta-rule and splitting (8972), into two cases. % 217.46/149.89 |-Branch one: % 217.46/149.89 | (8973) all_403_0_1755 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.46/149.89 | % 217.46/149.89 | Applying alpha-rule on (8973) yields: % 217.46/149.89 | (8974) all_403_0_1755 = 0 % 217.46/149.89 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.46/149.89 | (588) all_181_1_101 = e % 217.46/149.89 | % 217.46/149.89 | From (588) and (287) follows: % 217.46/149.89 | (7594) mem(e, all_57_1_62) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.46/149.89 | (212) all_85_0_72 = 0 % 217.46/149.89 | % 217.46/149.89 | Equations (212) can reduce 183 to: % 217.46/149.89 | (175) $false % 217.46/149.89 | % 217.46/149.89 |-The branch is then unsatisfiable % 217.46/149.89 |-Branch two: % 217.46/149.89 | (8980) all_403_0_1755 = 0 & mem(all_181_1_101, e) = 0 % 217.46/149.89 | % 217.46/149.89 | Applying alpha-rule on (8980) yields: % 217.46/149.89 | (8974) all_403_0_1755 = 0 % 217.46/149.89 | (603) mem(all_181_1_101, e) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.46/149.89 | (538) $false % 217.46/149.89 | % 217.46/149.89 |-The branch is then unsatisfiable % 217.46/149.89 |-Branch two: % 217.46/149.89 | (8984) all_332_0_1749 = 0 & mem(all_85_1_73, e) = 0 % 217.46/149.89 | % 217.46/149.89 | Applying alpha-rule on (8984) yields: % 217.46/149.89 | (8936) all_332_0_1749 = 0 % 217.46/149.89 | (7603) mem(all_85_1_73, e) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.46/149.89 | (538) $false % 217.46/149.89 | % 217.46/149.89 |-The branch is then unsatisfiable % 217.46/149.89 |-Branch two: % 217.46/149.89 | (7940) all_289_0_1494 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.46/149.89 | % 217.46/149.89 | Applying alpha-rule on (7940) yields: % 217.46/149.89 | (7902) all_289_0_1494 = 0 % 217.46/149.89 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.46/149.89 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.46/149.89 | % 217.46/149.89 | Instantiating (608) with all_340_0_1766 yields: % 217.46/149.89 | (8992) (all_340_0_1766 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_1766 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.46/149.89 | % 217.46/149.89 +-Applying beta-rule and splitting (8270), into two cases. % 217.46/149.89 |-Branch one: % 217.46/149.89 | (8397) all_297_0_1606 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.46/149.89 | % 217.46/149.89 | Applying alpha-rule on (8397) yields: % 217.46/149.89 | (8398) all_297_0_1606 = 0 % 217.46/149.89 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.46/149.89 | (483) all_181_1_101 = all_0_5_5 % 217.46/149.89 | % 217.46/149.89 | From (483) and (259) follows: % 217.46/149.89 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 217.46/149.89 | % 217.46/149.89 +-Applying beta-rule and splitting (8707), into two cases. % 217.46/149.89 |-Branch one: % 217.46/149.89 | (8730) all_305_0_1714 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.46/149.89 | % 217.46/149.89 | Applying alpha-rule on (8730) yields: % 217.46/149.89 | (8731) all_305_0_1714 = 0 % 217.46/149.89 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.46/149.89 | (495) all_165_2_96 = all_0_5_5 % 217.46/149.89 | % 217.46/149.89 | From (495) and (248) follows: % 217.46/149.89 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 217.46/149.89 | % 217.46/149.89 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 217.46/149.89 | (526) all_181_0_100 = 0 % 217.46/149.89 | % 217.46/149.89 | Equations (526) can reduce 258 to: % 217.46/149.89 | (175) $false % 217.46/149.89 | % 217.46/149.89 |-The branch is then unsatisfiable % 217.46/149.89 |-Branch two: % 217.46/149.89 | (8737) all_305_0_1714 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.46/149.89 | % 217.46/149.90 | Applying alpha-rule on (8737) yields: % 217.46/149.90 | (8731) all_305_0_1714 = 0 % 217.46/149.90 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.46/149.90 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.46/149.90 | % 217.46/149.90 | Instantiating (502) with all_359_0_1767 yields: % 217.46/149.90 | (9009) (all_359_0_1767 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_1767 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.46/149.90 | % 217.46/149.90 +-Applying beta-rule and splitting (8905), into two cases. % 217.46/149.90 |-Branch one: % 217.46/149.90 | (8935) all_332_0_1749 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.46/149.90 | % 217.46/149.90 | Applying alpha-rule on (8935) yields: % 217.46/149.90 | (8936) all_332_0_1749 = 0 % 217.46/149.90 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.46/149.90 | (7551) all_85_1_73 = e % 217.46/149.90 | % 217.46/149.90 | From (7551) and (184) follows: % 217.46/149.90 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.46/149.90 | % 217.46/149.90 +-Applying beta-rule and splitting (8992), into two cases. % 217.46/149.90 |-Branch one: % 217.46/149.90 | (9015) all_340_0_1766 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.46/149.90 | % 217.46/149.90 | Applying alpha-rule on (9015) yields: % 217.46/149.90 | (9016) all_340_0_1766 = 0 % 217.46/149.90 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.46/149.90 | (642) all_135_1_87 = all_0_6_6 % 217.46/149.90 | % 217.46/149.90 | From (642) and (231) follows: % 217.46/149.90 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.46/149.90 | % 217.46/149.90 +-Applying beta-rule and splitting (9009), into two cases. % 217.46/149.90 |-Branch one: % 217.46/149.90 | (9020) all_359_0_1767 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.46/149.90 | % 217.46/149.90 | Applying alpha-rule on (9020) yields: % 217.46/149.90 | (9021) all_359_0_1767 = 0 % 217.46/149.90 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.46/149.90 | (551) all_165_2_96 = all_0_6_6 % 217.46/149.90 | % 217.46/149.90 | From (551) and (268) follows: % 217.46/149.90 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.46/149.90 | (261) all_135_0_86 = 0 % 217.46/149.90 | % 217.46/149.90 | Equations (261) can reduce 230 to: % 217.46/149.90 | (175) $false % 217.46/149.90 | % 217.46/149.90 |-The branch is then unsatisfiable % 217.46/149.90 |-Branch two: % 217.46/149.90 | (9027) all_359_0_1767 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.46/149.90 | % 217.46/149.90 | Applying alpha-rule on (9027) yields: % 217.46/149.90 | (9021) all_359_0_1767 = 0 % 217.46/149.90 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.46/149.90 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.46/149.90 | % 217.46/149.90 | Instantiating (583) with all_414_0_1770 yields: % 217.46/149.90 | (9031) (all_414_0_1770 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_414_0_1770 = 0 & mem(all_165_2_96, e) = 0) % 217.46/149.90 | % 217.46/149.90 +-Applying beta-rule and splitting (9031), into two cases. % 217.46/149.90 |-Branch one: % 217.46/149.90 | (9032) all_414_0_1770 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.46/149.90 | % 217.46/149.90 | Applying alpha-rule on (9032) yields: % 217.46/149.90 | (9033) all_414_0_1770 = 0 % 217.46/149.90 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.46/149.90 | (593) all_165_2_96 = e % 217.46/149.90 | % 217.46/149.90 | From (593) and (303) follows: % 217.46/149.90 | (7594) mem(e, all_57_1_62) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.46/149.90 | (212) all_85_0_72 = 0 % 217.46/149.90 | % 217.46/149.90 | Equations (212) can reduce 183 to: % 217.46/149.90 | (175) $false % 217.46/149.90 | % 217.46/149.90 |-The branch is then unsatisfiable % 217.46/149.90 |-Branch two: % 217.46/149.90 | (9039) all_414_0_1770 = 0 & mem(all_165_2_96, e) = 0 % 217.46/149.90 | % 217.46/149.90 | Applying alpha-rule on (9039) yields: % 217.46/149.90 | (9033) all_414_0_1770 = 0 % 217.46/149.90 | (599) mem(all_165_2_96, e) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.46/149.90 | (538) $false % 217.46/149.90 | % 217.46/149.90 |-The branch is then unsatisfiable % 217.46/149.90 |-Branch two: % 217.46/149.90 | (9043) all_340_0_1766 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.46/149.90 | % 217.46/149.90 | Applying alpha-rule on (9043) yields: % 217.46/149.90 | (9016) all_340_0_1766 = 0 % 217.46/149.90 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.46/149.90 | % 217.46/149.90 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.46/149.90 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.46/149.90 | % 217.46/149.90 | Instantiating (669) with all_403_0_1771 yields: % 217.46/149.90 | (9047) (all_403_0_1771 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_403_0_1771 = 0 & mem(all_135_1_87, e) = 0) % 217.46/149.90 | % 217.46/149.90 +-Applying beta-rule and splitting (9047), into two cases. % 217.46/149.90 |-Branch one: % 217.46/149.91 | (9048) all_403_0_1771 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.46/149.91 | % 217.46/149.91 | Applying alpha-rule on (9048) yields: % 217.46/149.91 | (9049) all_403_0_1771 = 0 % 217.46/149.91 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.46/149.91 | (711) all_135_1_87 = e % 217.46/149.91 | % 217.46/149.91 | From (711) and (241) follows: % 217.46/149.91 | (7594) mem(e, all_57_1_62) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.46/149.91 | (212) all_85_0_72 = 0 % 217.46/149.91 | % 217.46/149.91 | Equations (212) can reduce 183 to: % 217.46/149.91 | (175) $false % 217.46/149.91 | % 217.46/149.91 |-The branch is then unsatisfiable % 217.46/149.91 |-Branch two: % 217.46/149.91 | (9055) all_403_0_1771 = 0 & mem(all_135_1_87, e) = 0 % 217.46/149.91 | % 217.46/149.91 | Applying alpha-rule on (9055) yields: % 217.46/149.91 | (9049) all_403_0_1771 = 0 % 217.46/149.91 | (726) mem(all_135_1_87, e) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.46/149.91 | (538) $false % 217.46/149.91 | % 217.46/149.91 |-The branch is then unsatisfiable % 217.46/149.91 |-Branch two: % 217.46/149.91 | (8984) all_332_0_1749 = 0 & mem(all_85_1_73, e) = 0 % 217.46/149.91 | % 217.46/149.91 | Applying alpha-rule on (8984) yields: % 217.46/149.91 | (8936) all_332_0_1749 = 0 % 217.46/149.91 | (7603) mem(all_85_1_73, e) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.46/149.91 | (538) $false % 217.46/149.91 | % 217.46/149.91 |-The branch is then unsatisfiable % 217.46/149.91 |-Branch two: % 217.46/149.91 | (8436) all_297_0_1606 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.46/149.91 | % 217.46/149.91 | Applying alpha-rule on (8436) yields: % 217.46/149.91 | (8398) all_297_0_1606 = 0 % 217.46/149.91 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.46/149.91 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.46/149.91 | % 217.46/149.91 | Instantiating (490) with all_348_0_1782 yields: % 217.46/149.91 | (9067) (all_348_0_1782 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_348_0_1782 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.46/149.91 | % 217.46/149.91 +-Applying beta-rule and splitting (8905), into two cases. % 217.46/149.91 |-Branch one: % 217.46/149.91 | (8935) all_332_0_1749 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.46/149.91 | % 217.46/149.91 | Applying alpha-rule on (8935) yields: % 217.46/149.91 | (8936) all_332_0_1749 = 0 % 217.46/149.91 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.46/149.91 | (7551) all_85_1_73 = e % 217.46/149.91 | % 217.46/149.91 | From (7551) and (184) follows: % 217.46/149.91 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.46/149.91 | % 217.46/149.91 +-Applying beta-rule and splitting (8992), into two cases. % 217.46/149.91 |-Branch one: % 217.46/149.91 | (9015) all_340_0_1766 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.46/149.91 | % 217.46/149.91 | Applying alpha-rule on (9015) yields: % 217.46/149.91 | (9016) all_340_0_1766 = 0 % 217.46/149.91 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.46/149.91 | (642) all_135_1_87 = all_0_6_6 % 217.46/149.91 | % 217.46/149.91 | From (642) and (231) follows: % 217.46/149.91 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.46/149.91 | % 217.46/149.91 +-Applying beta-rule and splitting (9067), into two cases. % 217.46/149.91 |-Branch one: % 217.46/149.91 | (9078) all_348_0_1782 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.46/149.91 | % 217.46/149.91 | Applying alpha-rule on (9078) yields: % 217.46/149.91 | (9079) all_348_0_1782 = 0 % 217.46/149.91 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.46/149.91 | (519) all_181_1_101 = all_0_6_6 % 217.46/149.91 | % 217.46/149.91 | From (519) and (260) follows: % 217.46/149.91 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.46/149.91 | (261) all_135_0_86 = 0 % 217.46/149.91 | % 217.46/149.91 | Equations (261) can reduce 230 to: % 217.46/149.91 | (175) $false % 217.46/149.91 | % 217.46/149.91 |-The branch is then unsatisfiable % 217.46/149.91 |-Branch two: % 217.46/149.91 | (9085) all_348_0_1782 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.46/149.91 | % 217.46/149.91 | Applying alpha-rule on (9085) yields: % 217.46/149.91 | (9079) all_348_0_1782 = 0 % 217.46/149.91 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.46/149.91 | % 217.46/149.91 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.46/149.92 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.46/149.92 | % 217.46/149.92 | Instantiating (546) with all_411_0_1794 yields: % 217.46/149.92 | (9089) (all_411_0_1794 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_411_0_1794 = 0 & mem(all_181_1_101, e) = 0) % 217.46/149.92 | % 217.46/149.92 +-Applying beta-rule and splitting (9089), into two cases. % 217.46/149.92 |-Branch one: % 217.46/149.92 | (9090) all_411_0_1794 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.46/149.92 | % 217.46/149.92 | Applying alpha-rule on (9090) yields: % 217.46/149.92 | (9091) all_411_0_1794 = 0 % 217.46/149.92 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.46/149.92 | % 217.46/149.92 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.46/149.92 | (588) all_181_1_101 = e % 217.46/149.92 | % 217.46/149.92 | From (588) and (287) follows: % 217.46/149.92 | (7594) mem(e, all_57_1_62) = 0 % 217.46/149.92 | % 217.46/149.92 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.46/149.92 | (212) all_85_0_72 = 0 % 217.46/149.92 | % 217.46/149.92 | Equations (212) can reduce 183 to: % 217.46/149.92 | (175) $false % 217.46/149.92 | % 217.46/149.92 |-The branch is then unsatisfiable % 217.46/149.92 |-Branch two: % 217.46/149.92 | (9097) all_411_0_1794 = 0 & mem(all_181_1_101, e) = 0 % 217.46/149.92 | % 217.46/149.92 | Applying alpha-rule on (9097) yields: % 217.46/149.92 | (9091) all_411_0_1794 = 0 % 217.46/149.92 | (603) mem(all_181_1_101, e) = 0 % 217.46/149.92 | % 217.46/149.92 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.46/149.92 | (538) $false % 217.46/149.92 | % 217.46/149.92 |-The branch is then unsatisfiable % 217.46/149.92 |-Branch two: % 217.46/149.92 | (9043) all_340_0_1766 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.46/149.92 | % 217.46/149.92 | Applying alpha-rule on (9043) yields: % 217.46/149.92 | (9016) all_340_0_1766 = 0 % 217.46/149.92 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.46/149.92 | % 217.46/149.92 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.46/149.92 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.46/149.92 | % 217.46/149.92 | Instantiating (669) with all_400_0_1796 yields: % 217.46/149.92 | (9105) (all_400_0_1796 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_400_0_1796 = 0 & mem(all_135_1_87, e) = 0) % 217.46/149.92 | % 217.46/149.92 +-Applying beta-rule and splitting (9105), into two cases. % 217.46/149.92 |-Branch one: % 217.46/149.92 | (9106) all_400_0_1796 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.46/149.92 | % 217.46/149.92 | Applying alpha-rule on (9106) yields: % 217.46/149.92 | (9107) all_400_0_1796 = 0 % 217.46/149.92 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.46/149.92 | % 217.46/149.92 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.46/149.92 | (711) all_135_1_87 = e % 217.46/149.92 | % 217.46/149.92 | From (711) and (241) follows: % 217.46/149.92 | (7594) mem(e, all_57_1_62) = 0 % 217.46/149.92 | % 217.46/149.92 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.46/149.92 | (212) all_85_0_72 = 0 % 217.46/149.92 | % 217.46/149.92 | Equations (212) can reduce 183 to: % 217.46/149.92 | (175) $false % 217.46/149.92 | % 217.46/149.92 |-The branch is then unsatisfiable % 217.46/149.92 |-Branch two: % 217.46/149.92 | (9113) all_400_0_1796 = 0 & mem(all_135_1_87, e) = 0 % 217.46/149.92 | % 217.46/149.92 | Applying alpha-rule on (9113) yields: % 217.46/149.92 | (9107) all_400_0_1796 = 0 % 217.46/149.92 | (726) mem(all_135_1_87, e) = 0 % 217.46/149.92 | % 217.46/149.92 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.46/149.92 | (538) $false % 217.46/149.92 | % 217.46/149.92 |-The branch is then unsatisfiable % 217.46/149.92 |-Branch two: % 217.46/149.92 | (8984) all_332_0_1749 = 0 & mem(all_85_1_73, e) = 0 % 217.46/149.92 | % 217.46/149.92 | Applying alpha-rule on (8984) yields: % 217.46/149.92 | (8936) all_332_0_1749 = 0 % 217.46/149.92 | (7603) mem(all_85_1_73, e) = 0 % 217.46/149.92 | % 217.46/149.92 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.46/149.92 | (538) $false % 217.46/149.92 | % 217.46/149.92 |-The branch is then unsatisfiable % 217.54/149.93 |-Branch two: % 217.54/149.93 | (1594) all_162_0_92 = 0 & mem(all_110_1_81, all_0_4_4) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (1594) yields: % 217.54/149.93 | (322) all_162_0_92 = 0 % 217.54/149.93 | (1596) mem(all_110_1_81, all_0_4_4) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_110_1_81, all_0_4_4) = 0, yields: % 217.54/149.93 | (1597) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_70_0_66) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_5_5) = 0)) % 217.54/149.93 | % 217.54/149.93 | Instantiating (1597) with all_273_0_1800 yields: % 217.54/149.93 | (9125) (all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0) | (all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0) % 217.54/149.93 | % 217.54/149.93 +-Applying beta-rule and splitting (6122), into two cases. % 217.54/149.93 |-Branch one: % 217.54/149.93 | (6157) all_226_0_1227 = 0 & mem(all_85_1_73, all_70_0_66) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (6157) yields: % 217.54/149.93 | (6158) all_226_0_1227 = 0 % 217.54/149.93 | (6159) mem(all_85_1_73, all_70_0_66) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_85_1_73 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_85_1_73, all_70_0_66) = 0, yields: % 217.54/149.93 | (6160) all_85_1_73 = all_0_5_5 % 217.54/149.93 | % 217.54/149.93 | From (6160) and (184) follows: % 217.54/149.93 | (6161) mem(all_0_5_5, all_57_1_62) = all_85_0_72 % 217.54/149.93 | % 217.54/149.93 +-Applying beta-rule and splitting (6123), into two cases. % 217.54/149.93 |-Branch one: % 217.54/149.93 | (6162) all_227_0_1228 = 0 & mem(all_135_1_87, all_0_1_1) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (6162) yields: % 217.54/149.93 | (6163) all_227_0_1228 = 0 % 217.54/149.93 | (333) mem(all_135_1_87, all_0_1_1) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_135_1_87, all_0_1_1) = 0, yields: % 217.54/149.93 | (334) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_2_2) = 0)) % 217.54/149.93 | % 217.54/149.93 | Instantiating (334) with all_292_0_1801 yields: % 217.54/149.93 | (9135) (all_292_0_1801 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (all_292_0_1801 = 0 & mem(all_135_1_87, all_0_2_2) = 0) % 217.54/149.93 | % 217.54/149.93 +-Applying beta-rule and splitting (6146), into two cases. % 217.54/149.93 |-Branch one: % 217.54/149.93 | (6167) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (6167) yields: % 217.54/149.93 | (6168) all_252_0_1232 = 0 % 217.54/149.93 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 217.54/149.93 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 217.54/149.93 | % 217.54/149.93 | Instantiating (370) with all_300_0_1802 yields: % 217.54/149.93 | (9140) (all_300_0_1802 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_1802 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 217.54/149.93 | % 217.54/149.93 +-Applying beta-rule and splitting (6149), into two cases. % 217.54/149.93 |-Branch one: % 217.54/149.93 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (6239) yields: % 217.54/149.93 | (6240) all_259_0_1233 = 0 % 217.54/149.93 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 217.54/149.93 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 217.54/149.93 | % 217.54/149.93 | Instantiating (406) with all_308_0_1803 yields: % 217.54/149.93 | (9145) (all_308_0_1803 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_1803 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 217.54/149.93 | % 217.54/149.93 +-Applying beta-rule and splitting (9135), into two cases. % 217.54/149.93 |-Branch one: % 217.54/149.93 | (9146) all_292_0_1801 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (9146) yields: % 217.54/149.93 | (9147) all_292_0_1801 = 0 % 217.54/149.93 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 217.54/149.93 | (351) all_135_1_87 = all_0_2_2 % 217.54/149.93 | % 217.54/149.93 | From (351) and (231) follows: % 217.54/149.93 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 217.54/149.93 | % 217.54/149.93 +-Applying beta-rule and splitting (9140), into two cases. % 217.54/149.93 |-Branch one: % 217.54/149.93 | (9151) all_300_0_1802 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (9151) yields: % 217.54/149.93 | (9152) all_300_0_1802 = 0 % 217.54/149.93 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.54/149.93 | (387) all_181_1_101 = all_0_2_2 % 217.54/149.93 | % 217.54/149.93 | From (387) and (260) follows: % 217.54/149.93 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.54/149.93 | (261) all_135_0_86 = 0 % 217.54/149.93 | % 217.54/149.93 | Equations (261) can reduce 230 to: % 217.54/149.93 | (175) $false % 217.54/149.93 | % 217.54/149.93 |-The branch is then unsatisfiable % 217.54/149.93 |-Branch two: % 217.54/149.93 | (9158) all_300_0_1802 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (9158) yields: % 217.54/149.93 | (9152) all_300_0_1802 = 0 % 217.54/149.93 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.54/149.93 | (394) all_181_1_101 = all_0_3_3 % 217.54/149.93 | % 217.54/149.93 | From (394) and (259) follows: % 217.54/149.93 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 217.54/149.93 | % 217.54/149.93 +-Applying beta-rule and splitting (9145), into two cases. % 217.54/149.93 |-Branch one: % 217.54/149.93 | (9163) all_308_0_1803 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.54/149.93 | % 217.54/149.93 | Applying alpha-rule on (9163) yields: % 217.54/149.93 | (9164) all_308_0_1803 = 0 % 217.54/149.93 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.54/149.93 | (423) all_165_2_96 = all_0_2_2 % 217.54/149.93 | % 217.54/149.93 | From (423) and (268) follows: % 217.54/149.93 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.54/149.93 | % 217.54/149.93 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.54/149.93 | (261) all_135_0_86 = 0 % 217.54/149.93 | % 217.54/149.93 | Equations (261) can reduce 230 to: % 217.54/149.93 | (175) $false % 217.54/149.93 | % 217.54/149.93 |-The branch is then unsatisfiable % 217.54/149.93 |-Branch two: % 217.54/149.94 | (9170) all_308_0_1803 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.54/149.94 | % 217.54/149.94 | Applying alpha-rule on (9170) yields: % 217.54/149.94 | (9164) all_308_0_1803 = 0 % 217.54/149.94 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.54/149.94 | (430) all_165_2_96 = all_0_3_3 % 217.54/149.94 | % 217.54/149.94 | From (430) and (248) follows: % 217.54/149.94 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 217.54/149.94 | (526) all_181_0_100 = 0 % 217.54/149.94 | % 217.54/149.94 | Equations (526) can reduce 258 to: % 217.54/149.94 | (175) $false % 217.54/149.94 | % 217.54/149.94 |-The branch is then unsatisfiable % 217.54/149.94 |-Branch two: % 217.54/149.94 | (9177) all_292_0_1801 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 217.54/149.94 | % 217.54/149.94 | Applying alpha-rule on (9177) yields: % 217.54/149.94 | (9147) all_292_0_1801 = 0 % 217.54/149.94 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 217.54/149.94 | (358) all_135_1_87 = all_0_3_3 % 217.54/149.94 | % 217.54/149.94 | From (358) and (231) follows: % 217.54/149.94 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 217.54/149.94 | % 217.54/149.94 +-Applying beta-rule and splitting (9140), into two cases. % 217.54/149.94 |-Branch one: % 217.54/149.94 | (9151) all_300_0_1802 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.54/149.94 | % 217.54/149.94 | Applying alpha-rule on (9151) yields: % 217.54/149.94 | (9152) all_300_0_1802 = 0 % 217.54/149.94 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.54/149.94 | (387) all_181_1_101 = all_0_2_2 % 217.54/149.94 | % 217.54/149.94 | From (387) and (259) follows: % 217.54/149.94 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 217.54/149.94 | % 217.54/149.94 +-Applying beta-rule and splitting (9145), into two cases. % 217.54/149.94 |-Branch one: % 217.54/149.94 | (9163) all_308_0_1803 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.54/149.94 | % 217.54/149.94 | Applying alpha-rule on (9163) yields: % 217.54/149.94 | (9164) all_308_0_1803 = 0 % 217.54/149.94 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.54/149.94 | (423) all_165_2_96 = all_0_2_2 % 217.54/149.94 | % 217.54/149.94 | From (423) and (248) follows: % 217.54/149.94 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 217.54/149.94 | (526) all_181_0_100 = 0 % 217.54/149.94 | % 217.54/149.94 | Equations (526) can reduce 258 to: % 217.54/149.94 | (175) $false % 217.54/149.94 | % 217.54/149.94 |-The branch is then unsatisfiable % 217.54/149.94 |-Branch two: % 217.54/149.94 | (9170) all_308_0_1803 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.54/149.94 | % 217.54/149.94 | Applying alpha-rule on (9170) yields: % 217.54/149.94 | (9164) all_308_0_1803 = 0 % 217.54/149.94 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.54/149.94 | (430) all_165_2_96 = all_0_3_3 % 217.54/149.94 | % 217.54/149.94 | From (430) and (268) follows: % 217.54/149.94 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.54/149.94 | (261) all_135_0_86 = 0 % 217.54/149.94 | % 217.54/149.94 | Equations (261) can reduce 230 to: % 217.54/149.94 | (175) $false % 217.54/149.94 | % 217.54/149.94 |-The branch is then unsatisfiable % 217.54/149.94 |-Branch two: % 217.54/149.94 | (9158) all_300_0_1802 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.54/149.94 | % 217.54/149.94 | Applying alpha-rule on (9158) yields: % 217.54/149.94 | (9152) all_300_0_1802 = 0 % 217.54/149.94 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.54/149.94 | (394) all_181_1_101 = all_0_3_3 % 217.54/149.94 | % 217.54/149.94 | From (394) and (260) follows: % 217.54/149.94 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.54/149.94 | (261) all_135_0_86 = 0 % 217.54/149.94 | % 217.54/149.94 | Equations (261) can reduce 230 to: % 217.54/149.94 | (175) $false % 217.54/149.94 | % 217.54/149.94 |-The branch is then unsatisfiable % 217.54/149.94 |-Branch two: % 217.54/149.94 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 217.54/149.94 | % 217.54/149.94 | Applying alpha-rule on (6306) yields: % 217.54/149.94 | (6240) all_259_0_1233 = 0 % 217.54/149.94 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 217.54/149.94 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 217.54/149.94 | % 217.54/149.94 | Instantiating (437) with all_308_0_1806 yields: % 217.54/149.94 | (9212) (all_308_0_1806 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_1806 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 217.54/149.94 | % 217.54/149.94 +-Applying beta-rule and splitting (6151), into two cases. % 217.54/149.94 |-Branch one: % 217.54/149.94 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 217.54/149.94 | % 217.54/149.94 | Applying alpha-rule on (6311) yields: % 217.54/149.94 | (6312) all_265_0_1234 = 0 % 217.54/149.94 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 217.54/149.94 | % 217.54/149.94 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 217.54/149.94 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 217.54/149.94 | % 217.54/149.94 | Instantiating (442) with all_316_0_1807 yields: % 217.54/149.94 | (9217) (all_316_0_1807 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_1807 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 217.54/149.94 | % 217.54/149.94 +-Applying beta-rule and splitting (9135), into two cases. % 217.54/149.94 |-Branch one: % 217.54/149.95 | (9146) all_292_0_1801 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9146) yields: % 217.54/149.95 | (9147) all_292_0_1801 = 0 % 217.54/149.95 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 217.54/149.95 | (351) all_135_1_87 = all_0_2_2 % 217.54/149.95 | % 217.54/149.95 | From (351) and (231) follows: % 217.54/149.95 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 217.54/149.95 | % 217.54/149.95 +-Applying beta-rule and splitting (9140), into two cases. % 217.54/149.95 |-Branch one: % 217.54/149.95 | (9151) all_300_0_1802 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9151) yields: % 217.54/149.95 | (9152) all_300_0_1802 = 0 % 217.54/149.95 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.54/149.95 | (387) all_181_1_101 = all_0_2_2 % 217.54/149.95 | % 217.54/149.95 | From (387) and (260) follows: % 217.54/149.95 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.54/149.95 | (261) all_135_0_86 = 0 % 217.54/149.95 | % 217.54/149.95 | Equations (261) can reduce 230 to: % 217.54/149.95 | (175) $false % 217.54/149.95 | % 217.54/149.95 |-The branch is then unsatisfiable % 217.54/149.95 |-Branch two: % 217.54/149.95 | (9158) all_300_0_1802 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9158) yields: % 217.54/149.95 | (9152) all_300_0_1802 = 0 % 217.54/149.95 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.54/149.95 | (394) all_181_1_101 = all_0_3_3 % 217.54/149.95 | % 217.54/149.95 | From (394) and (259) follows: % 217.54/149.95 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 217.54/149.95 | % 217.54/149.95 +-Applying beta-rule and splitting (9217), into two cases. % 217.54/149.95 |-Branch one: % 217.54/149.95 | (9235) all_316_0_1807 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9235) yields: % 217.54/149.95 | (9236) all_316_0_1807 = 0 % 217.54/149.95 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.54/149.95 | (459) all_212_1_107 = all_0_2_2 % 217.54/149.95 | % 217.54/149.95 | From (459) and (286) follows: % 217.54/149.95 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.54/149.95 | (261) all_135_0_86 = 0 % 217.54/149.95 | % 217.54/149.95 | Equations (261) can reduce 230 to: % 217.54/149.95 | (175) $false % 217.54/149.95 | % 217.54/149.95 |-The branch is then unsatisfiable % 217.54/149.95 |-Branch two: % 217.54/149.95 | (9242) all_316_0_1807 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9242) yields: % 217.54/149.95 | (9236) all_316_0_1807 = 0 % 217.54/149.95 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.54/149.95 | (466) all_212_1_107 = all_0_3_3 % 217.54/149.95 | % 217.54/149.95 | From (466) and (281) follows: % 217.54/149.95 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 217.54/149.95 | (526) all_181_0_100 = 0 % 217.54/149.95 | % 217.54/149.95 | Equations (526) can reduce 258 to: % 217.54/149.95 | (175) $false % 217.54/149.95 | % 217.54/149.95 |-The branch is then unsatisfiable % 217.54/149.95 |-Branch two: % 217.54/149.95 | (9177) all_292_0_1801 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9177) yields: % 217.54/149.95 | (9147) all_292_0_1801 = 0 % 217.54/149.95 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 217.54/149.95 | (358) all_135_1_87 = all_0_3_3 % 217.54/149.95 | % 217.54/149.95 | From (358) and (231) follows: % 217.54/149.95 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 217.54/149.95 | % 217.54/149.95 +-Applying beta-rule and splitting (9140), into two cases. % 217.54/149.95 |-Branch one: % 217.54/149.95 | (9151) all_300_0_1802 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9151) yields: % 217.54/149.95 | (9152) all_300_0_1802 = 0 % 217.54/149.95 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.54/149.95 | (387) all_181_1_101 = all_0_2_2 % 217.54/149.95 | % 217.54/149.95 | From (387) and (259) follows: % 217.54/149.95 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 217.54/149.95 | % 217.54/149.95 +-Applying beta-rule and splitting (9217), into two cases. % 217.54/149.95 |-Branch one: % 217.54/149.95 | (9235) all_316_0_1807 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9235) yields: % 217.54/149.95 | (9236) all_316_0_1807 = 0 % 217.54/149.95 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.54/149.95 | (459) all_212_1_107 = all_0_2_2 % 217.54/149.95 | % 217.54/149.95 | From (459) and (281) follows: % 217.54/149.95 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 217.54/149.95 | (526) all_181_0_100 = 0 % 217.54/149.95 | % 217.54/149.95 | Equations (526) can reduce 258 to: % 217.54/149.95 | (175) $false % 217.54/149.95 | % 217.54/149.95 |-The branch is then unsatisfiable % 217.54/149.95 |-Branch two: % 217.54/149.95 | (9242) all_316_0_1807 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.54/149.95 | % 217.54/149.95 | Applying alpha-rule on (9242) yields: % 217.54/149.95 | (9236) all_316_0_1807 = 0 % 217.54/149.95 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.54/149.95 | (466) all_212_1_107 = all_0_3_3 % 217.54/149.95 | % 217.54/149.95 | From (466) and (286) follows: % 217.54/149.95 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.54/149.95 | % 217.54/149.95 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.54/149.95 | (261) all_135_0_86 = 0 % 217.54/149.95 | % 217.54/149.95 | Equations (261) can reduce 230 to: % 217.54/149.95 | (175) $false % 217.54/149.95 | % 217.54/149.95 |-The branch is then unsatisfiable % 217.54/149.96 |-Branch two: % 217.54/149.96 | (9158) all_300_0_1802 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.54/149.96 | % 217.54/149.96 | Applying alpha-rule on (9158) yields: % 217.54/149.96 | (9152) all_300_0_1802 = 0 % 217.54/149.96 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.54/149.96 | (394) all_181_1_101 = all_0_3_3 % 217.54/149.96 | % 217.54/149.96 | From (394) and (260) follows: % 217.54/149.96 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.54/149.96 | (261) all_135_0_86 = 0 % 217.54/149.96 | % 217.54/149.96 | Equations (261) can reduce 230 to: % 217.54/149.96 | (175) $false % 217.54/149.96 | % 217.54/149.96 |-The branch is then unsatisfiable % 217.54/149.96 |-Branch two: % 217.54/149.96 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 217.54/149.96 | % 217.54/149.96 | Applying alpha-rule on (6378) yields: % 217.54/149.96 | (6312) all_265_0_1234 = 0 % 217.54/149.96 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 217.54/149.96 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 217.54/149.96 | % 217.54/149.96 | Instantiating (473) with all_316_0_1811 yields: % 217.54/149.96 | (9284) (all_316_0_1811 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_1811 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 217.54/149.96 | % 217.54/149.96 +-Applying beta-rule and splitting (9125), into two cases. % 217.54/149.96 |-Branch one: % 217.54/149.96 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 217.54/149.96 | % 217.54/149.96 | Applying alpha-rule on (9285) yields: % 217.54/149.96 | (9286) all_273_0_1800 = 0 % 217.54/149.96 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 217.54/149.96 | (1720) all_110_1_81 = all_0_5_5 % 217.54/149.96 | % 217.54/149.96 | From (1720) and (211) follows: % 217.54/149.96 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.54/149.96 | (212) all_85_0_72 = 0 % 217.54/149.96 | % 217.54/149.96 | Equations (212) can reduce 183 to: % 217.54/149.96 | (175) $false % 217.54/149.96 | % 217.54/149.96 |-The branch is then unsatisfiable % 217.54/149.96 |-Branch two: % 217.54/149.96 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 217.54/149.96 | % 217.54/149.96 | Applying alpha-rule on (9292) yields: % 217.54/149.96 | (9286) all_273_0_1800 = 0 % 217.54/149.96 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 217.54/149.96 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 217.54/149.96 | % 217.54/149.96 | Instantiating (1850) with all_324_0_1812 yields: % 217.54/149.96 | (9296) (all_324_0_1812 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_1812 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 217.54/149.96 | % 217.54/149.96 +-Applying beta-rule and splitting (9212), into two cases. % 217.54/149.96 |-Branch one: % 217.54/149.96 | (9297) all_308_0_1806 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.54/149.96 | % 217.54/149.96 | Applying alpha-rule on (9297) yields: % 217.54/149.96 | (9298) all_308_0_1806 = 0 % 217.54/149.96 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.54/149.96 | (495) all_165_2_96 = all_0_5_5 % 217.54/149.96 | % 217.54/149.96 | From (495) and (303) follows: % 217.54/149.96 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.54/149.96 | (212) all_85_0_72 = 0 % 217.54/149.96 | % 217.54/149.96 | Equations (212) can reduce 183 to: % 217.54/149.96 | (175) $false % 217.54/149.96 | % 217.54/149.96 |-The branch is then unsatisfiable % 217.54/149.96 |-Branch two: % 217.54/149.96 | (9304) all_308_0_1806 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.54/149.96 | % 217.54/149.96 | Applying alpha-rule on (9304) yields: % 217.54/149.96 | (9298) all_308_0_1806 = 0 % 217.54/149.96 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.54/149.96 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.54/149.96 | % 217.54/149.96 | Instantiating (502) with all_354_0_1813 yields: % 217.54/149.96 | (9308) (all_354_0_1813 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_354_0_1813 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.54/149.96 | % 217.54/149.96 +-Applying beta-rule and splitting (9284), into two cases. % 217.54/149.96 |-Branch one: % 217.54/149.96 | (9309) all_316_0_1811 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.54/149.96 | % 217.54/149.96 | Applying alpha-rule on (9309) yields: % 217.54/149.96 | (9310) all_316_0_1811 = 0 % 217.54/149.96 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.54/149.96 | (507) all_212_1_107 = all_0_5_5 % 217.54/149.96 | % 217.54/149.96 | From (507) and (312) follows: % 217.54/149.96 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.54/149.96 | % 217.54/149.96 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.54/149.96 | (212) all_85_0_72 = 0 % 217.54/149.96 | % 217.54/149.96 | Equations (212) can reduce 183 to: % 217.54/149.96 | (175) $false % 217.54/149.96 | % 217.54/149.96 |-The branch is then unsatisfiable % 217.54/149.96 |-Branch two: % 217.54/149.96 | (9316) all_316_0_1811 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.54/149.96 | % 217.54/149.96 | Applying alpha-rule on (9316) yields: % 217.54/149.96 | (9310) all_316_0_1811 = 0 % 217.54/149.96 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.54/149.97 | % 217.54/149.97 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.54/149.97 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.54/149.97 | % 217.54/149.97 | Instantiating (514) with all_362_0_1814 yields: % 217.54/149.97 | (9320) (all_362_0_1814 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_362_0_1814 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.54/149.97 | % 217.54/149.97 +-Applying beta-rule and splitting (9296), into two cases. % 217.54/149.97 |-Branch one: % 217.54/149.97 | (9321) all_324_0_1812 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.54/149.97 | % 217.54/149.97 | Applying alpha-rule on (9321) yields: % 217.54/149.97 | (9322) all_324_0_1812 = 0 % 217.54/149.97 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.54/149.97 | % 217.54/149.97 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.54/149.97 | (1884) all_110_1_81 = all_0_6_6 % 217.54/149.97 | % 217.54/149.97 | From (1884) and (210) follows: % 217.54/149.97 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 217.54/149.97 | % 217.54/149.97 +-Applying beta-rule and splitting (9320), into two cases. % 217.54/149.97 |-Branch one: % 217.54/149.97 | (9326) all_362_0_1814 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.54/149.97 | % 217.54/149.97 | Applying alpha-rule on (9326) yields: % 217.54/149.97 | (9327) all_362_0_1814 = 0 % 217.54/149.97 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.54/149.97 | % 217.54/149.97 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.54/149.97 | (524) all_212_1_107 = all_0_6_6 % 217.54/149.97 | % 217.54/149.97 | From (524) and (301) follows: % 217.58/149.97 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.58/149.97 | % 217.58/149.97 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.58/149.97 | (233) all_110_0_80 = 0 % 217.58/149.97 | % 217.58/149.97 | Equations (233) can reduce 209 to: % 217.58/149.97 | (175) $false % 217.58/149.97 | % 217.58/149.97 |-The branch is then unsatisfiable % 217.58/149.97 |-Branch two: % 217.58/149.97 | (9333) all_362_0_1814 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.58/149.97 | % 217.58/149.97 | Applying alpha-rule on (9333) yields: % 217.58/149.97 | (9327) all_362_0_1814 = 0 % 217.58/149.97 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.58/149.97 | % 217.58/149.97 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.58/149.97 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.58/149.97 | % 217.58/149.97 | Instantiating (531) with all_389_0_1816 yields: % 217.58/149.97 | (9337) (all_389_0_1816 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_1816 = 0 & mem(all_212_1_107, e) = 0) % 217.58/149.97 | % 217.58/149.97 +-Applying beta-rule and splitting (9337), into two cases. % 217.58/149.97 |-Branch one: % 217.58/149.97 | (9338) all_389_0_1816 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.58/149.97 | % 217.58/149.97 | Applying alpha-rule on (9338) yields: % 217.58/149.97 | (9339) all_389_0_1816 = 0 % 217.58/149.97 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.58/149.97 | % 217.58/149.97 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.58/149.97 | (536) all_212_1_107 = e % 217.58/149.97 | % 217.58/149.97 | From (536) and (6141) follows: % 217.58/149.97 | (6440) mem(all_244_1_1231, e) = 0 % 217.58/149.97 | % 217.58/149.97 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.58/149.97 | (538) $false % 217.58/149.97 | % 217.58/149.97 |-The branch is then unsatisfiable % 217.58/149.97 |-Branch two: % 217.58/149.97 | (9344) all_389_0_1816 = 0 & mem(all_212_1_107, e) = 0 % 217.58/149.97 | % 217.58/149.97 | Applying alpha-rule on (9344) yields: % 217.58/149.97 | (9339) all_389_0_1816 = 0 % 217.58/149.97 | (541) mem(all_212_1_107, e) = 0 % 217.58/149.97 | % 217.58/149.97 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.58/149.97 | (538) $false % 217.58/149.97 | % 217.58/149.97 |-The branch is then unsatisfiable % 217.58/149.97 |-Branch two: % 217.58/149.97 | (9348) all_324_0_1812 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 217.58/149.97 | % 217.58/149.97 | Applying alpha-rule on (9348) yields: % 217.58/149.97 | (9322) all_324_0_1812 = 0 % 217.58/149.97 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 217.58/149.97 | % 217.58/149.97 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 217.58/149.97 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 217.58/149.97 | % 217.58/149.97 | Instantiating (1911) with all_370_0_1821 yields: % 217.58/149.97 | (9352) (all_370_0_1821 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_370_0_1821 = 0 & mem(all_110_1_81, e) = 0) % 217.58/149.97 | % 217.58/149.97 +-Applying beta-rule and splitting (9308), into two cases. % 217.58/149.97 |-Branch one: % 217.58/149.97 | (9353) all_354_0_1813 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.58/149.97 | % 217.58/149.97 | Applying alpha-rule on (9353) yields: % 217.58/149.97 | (9354) all_354_0_1813 = 0 % 217.58/149.97 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.58/149.97 | % 217.58/149.97 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.58/149.97 | (551) all_165_2_96 = all_0_6_6 % 217.58/149.97 | % 217.58/149.97 | From (551) and (6142) follows: % 217.58/149.97 | (6455) mem(all_244_1_1231, all_0_6_6) = all_244_0_1230 % 217.58/149.97 | % 217.58/149.97 | Instantiating formula (8) with all_244_0_1230, all_0_6_6, all_66_0_64, e, all_244_1_1231 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, yields: % 217.58/149.98 | (6456) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 217.58/149.98 | % 217.58/149.98 +-Applying beta-rule and splitting (9320), into two cases. % 217.58/149.98 |-Branch one: % 217.58/149.98 | (9326) all_362_0_1814 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.58/149.98 | % 217.58/149.98 | Applying alpha-rule on (9326) yields: % 217.58/149.98 | (9327) all_362_0_1814 = 0 % 217.58/149.98 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.58/149.98 | % 217.58/149.98 +-Applying beta-rule and splitting (6456), into two cases. % 217.58/149.98 |-Branch one: % 217.58/149.98 | (6460) all_244_0_1230 = 0 % 217.58/149.98 | % 217.58/149.98 | Equations (6460) can reduce 6140 to: % 217.58/149.98 | (175) $false % 217.58/149.98 | % 217.58/149.98 |-The branch is then unsatisfiable % 217.58/149.98 |-Branch two: % 217.58/149.98 | (6140) ~ (all_244_0_1230 = 0) % 217.58/149.98 | (6463) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 217.58/149.98 | % 217.58/149.98 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.58/149.98 | (524) all_212_1_107 = all_0_6_6 % 217.58/149.98 | % 217.58/149.98 | From (524) and (6141) follows: % 217.58/149.98 | (6465) mem(all_244_1_1231, all_0_6_6) = 0 % 217.58/149.98 | % 217.58/149.98 | Instantiating formula (65) with all_244_1_1231, all_0_6_6, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, mem(all_244_1_1231, all_0_6_6) = 0, yields: % 217.58/149.98 | (6460) all_244_0_1230 = 0 % 217.58/149.98 | % 217.58/149.98 | Equations (6460) can reduce 6140 to: % 217.58/149.98 | (175) $false % 217.58/149.98 | % 217.58/149.98 |-The branch is then unsatisfiable % 217.58/149.98 |-Branch two: % 217.58/149.98 | (9333) all_362_0_1814 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.58/149.98 | % 217.58/149.98 | Applying alpha-rule on (9333) yields: % 217.58/149.98 | (9327) all_362_0_1814 = 0 % 217.58/149.98 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.58/149.98 | % 217.58/149.98 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.58/149.98 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.58/149.98 | % 217.58/149.98 | Instantiating (531) with all_400_0_1830 yields: % 217.58/149.98 | (9374) (all_400_0_1830 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_400_0_1830 = 0 & mem(all_212_1_107, e) = 0) % 217.58/149.98 | % 217.58/149.98 +-Applying beta-rule and splitting (9374), into two cases. % 217.58/149.98 |-Branch one: % 217.58/149.98 | (9375) all_400_0_1830 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.58/149.98 | % 217.58/149.98 | Applying alpha-rule on (9375) yields: % 217.58/149.98 | (9376) all_400_0_1830 = 0 % 217.58/149.98 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.58/149.98 | % 217.58/149.98 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.58/149.98 | (536) all_212_1_107 = e % 217.58/149.98 | % 217.58/149.98 | From (536) and (6141) follows: % 217.58/149.98 | (6440) mem(all_244_1_1231, e) = 0 % 217.58/149.98 | % 217.58/149.98 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.58/149.98 | (538) $false % 217.58/149.98 | % 217.58/149.98 |-The branch is then unsatisfiable % 217.58/149.98 |-Branch two: % 217.58/149.98 | (9381) all_400_0_1830 = 0 & mem(all_212_1_107, e) = 0 % 217.58/149.98 | % 217.58/149.98 | Applying alpha-rule on (9381) yields: % 217.58/149.98 | (9376) all_400_0_1830 = 0 % 217.58/149.98 | (541) mem(all_212_1_107, e) = 0 % 217.58/149.98 | % 217.58/149.98 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.58/149.98 | (538) $false % 217.58/149.98 | % 217.58/149.98 |-The branch is then unsatisfiable % 217.58/149.98 |-Branch two: % 217.58/149.98 | (9385) all_354_0_1813 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.58/149.98 | % 217.58/149.98 | Applying alpha-rule on (9385) yields: % 217.58/149.98 | (9354) all_354_0_1813 = 0 % 217.58/149.98 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.58/149.98 | % 217.58/149.98 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.58/149.98 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.58/149.98 | % 217.58/149.98 | Instantiating (583) with all_378_0_1833 yields: % 217.58/149.98 | (9389) (all_378_0_1833 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_378_0_1833 = 0 & mem(all_165_2_96, e) = 0) % 217.58/149.98 | % 217.58/149.98 +-Applying beta-rule and splitting (9352), into two cases. % 217.58/149.98 |-Branch one: % 217.58/149.98 | (9390) all_370_0_1821 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.58/149.98 | % 217.58/149.98 | Applying alpha-rule on (9390) yields: % 217.58/149.98 | (9391) all_370_0_1821 = 0 % 217.58/149.98 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.58/149.98 | % 217.58/149.98 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.58/149.98 | (1953) all_110_1_81 = e % 217.58/149.98 | % 217.58/149.98 | From (1953) and (210) follows: % 217.58/149.98 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.58/149.98 | % 217.58/149.98 +-Applying beta-rule and splitting (9389), into two cases. % 217.58/149.98 |-Branch one: % 217.58/149.99 | (9395) all_378_0_1833 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.58/149.99 | % 217.58/149.99 | Applying alpha-rule on (9395) yields: % 217.58/149.99 | (9396) all_378_0_1833 = 0 % 217.58/149.99 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.58/149.99 | (593) all_165_2_96 = e % 217.58/149.99 | % 217.58/149.99 | From (593) and (288) follows: % 217.58/149.99 | (1959) mem(e, all_74_1_69) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.58/149.99 | (233) all_110_0_80 = 0 % 217.58/149.99 | % 217.58/149.99 | Equations (233) can reduce 209 to: % 217.58/149.99 | (175) $false % 217.58/149.99 | % 217.58/149.99 |-The branch is then unsatisfiable % 217.58/149.99 |-Branch two: % 217.58/149.99 | (9402) all_378_0_1833 = 0 & mem(all_165_2_96, e) = 0 % 217.58/149.99 | % 217.58/149.99 | Applying alpha-rule on (9402) yields: % 217.58/149.99 | (9396) all_378_0_1833 = 0 % 217.58/149.99 | (599) mem(all_165_2_96, e) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.58/149.99 | (538) $false % 217.58/149.99 | % 217.58/149.99 |-The branch is then unsatisfiable % 217.58/149.99 |-Branch two: % 217.58/149.99 | (9406) all_370_0_1821 = 0 & mem(all_110_1_81, e) = 0 % 217.58/149.99 | % 217.58/149.99 | Applying alpha-rule on (9406) yields: % 217.58/149.99 | (9391) all_370_0_1821 = 0 % 217.58/149.99 | (1968) mem(all_110_1_81, e) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.58/149.99 | (538) $false % 217.58/149.99 | % 217.58/149.99 |-The branch is then unsatisfiable % 217.58/149.99 |-Branch two: % 217.58/149.99 | (6234) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 217.58/149.99 | % 217.58/149.99 | Applying alpha-rule on (6234) yields: % 217.58/149.99 | (6168) all_252_0_1232 = 0 % 217.58/149.99 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 217.58/149.99 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 217.58/149.99 | % 217.58/149.99 | Instantiating (401) with all_300_0_1840 yields: % 217.58/149.99 | (9414) (all_300_0_1840 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_1840 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 217.58/149.99 | % 217.58/149.99 +-Applying beta-rule and splitting (6149), into two cases. % 217.58/149.99 |-Branch one: % 217.58/149.99 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 217.58/149.99 | % 217.58/149.99 | Applying alpha-rule on (6239) yields: % 217.58/149.99 | (6240) all_259_0_1233 = 0 % 217.58/149.99 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 217.58/149.99 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 217.58/149.99 | % 217.58/149.99 | Instantiating (406) with all_308_0_1841 yields: % 217.58/149.99 | (9419) (all_308_0_1841 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_1841 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 217.58/149.99 | % 217.58/149.99 +-Applying beta-rule and splitting (6151), into two cases. % 217.58/149.99 |-Branch one: % 217.58/149.99 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 217.58/149.99 | % 217.58/149.99 | Applying alpha-rule on (6311) yields: % 217.58/149.99 | (6312) all_265_0_1234 = 0 % 217.58/149.99 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 217.58/149.99 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 217.58/149.99 | % 217.58/149.99 | Instantiating (442) with all_316_0_1842 yields: % 217.58/149.99 | (9424) (all_316_0_1842 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_1842 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 217.58/149.99 | % 217.58/149.99 +-Applying beta-rule and splitting (9135), into two cases. % 217.58/149.99 |-Branch one: % 217.58/149.99 | (9146) all_292_0_1801 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 217.58/149.99 | % 217.58/149.99 | Applying alpha-rule on (9146) yields: % 217.58/149.99 | (9147) all_292_0_1801 = 0 % 217.58/149.99 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 217.58/149.99 | (351) all_135_1_87 = all_0_2_2 % 217.58/149.99 | % 217.58/149.99 | From (351) and (231) follows: % 217.58/149.99 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 217.58/149.99 | % 217.58/149.99 +-Applying beta-rule and splitting (9419), into two cases. % 217.58/149.99 |-Branch one: % 217.58/149.99 | (9430) all_308_0_1841 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.58/149.99 | % 217.58/149.99 | Applying alpha-rule on (9430) yields: % 217.58/149.99 | (9431) all_308_0_1841 = 0 % 217.58/149.99 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.58/149.99 | % 217.58/149.99 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.58/149.99 | (423) all_165_2_96 = all_0_2_2 % 217.58/149.99 | % 217.58/150.00 | From (423) and (268) follows: % 217.58/150.00 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.58/150.00 | (261) all_135_0_86 = 0 % 217.58/150.00 | % 217.58/150.00 | Equations (261) can reduce 230 to: % 217.58/150.00 | (175) $false % 217.58/150.00 | % 217.58/150.00 |-The branch is then unsatisfiable % 217.58/150.00 |-Branch two: % 217.58/150.00 | (9437) all_308_0_1841 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.58/150.00 | % 217.58/150.00 | Applying alpha-rule on (9437) yields: % 217.58/150.00 | (9431) all_308_0_1841 = 0 % 217.58/150.00 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.58/150.00 | (430) all_165_2_96 = all_0_3_3 % 217.58/150.00 | % 217.58/150.00 | From (430) and (6142) follows: % 217.58/150.00 | (6818) mem(all_244_1_1231, all_0_3_3) = all_244_0_1230 % 217.58/150.00 | % 217.58/150.00 +-Applying beta-rule and splitting (9424), into two cases. % 217.58/150.00 |-Branch one: % 217.58/150.00 | (9442) all_316_0_1842 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.58/150.00 | % 217.58/150.00 | Applying alpha-rule on (9442) yields: % 217.58/150.00 | (9443) all_316_0_1842 = 0 % 217.58/150.00 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.58/150.00 | (459) all_212_1_107 = all_0_2_2 % 217.58/150.00 | % 217.58/150.00 | From (459) and (286) follows: % 217.58/150.00 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.58/150.00 | (261) all_135_0_86 = 0 % 217.58/150.00 | % 217.58/150.00 | Equations (261) can reduce 230 to: % 217.58/150.00 | (175) $false % 217.58/150.00 | % 217.58/150.00 |-The branch is then unsatisfiable % 217.58/150.00 |-Branch two: % 217.58/150.00 | (9449) all_316_0_1842 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.58/150.00 | % 217.58/150.00 | Applying alpha-rule on (9449) yields: % 217.58/150.00 | (9443) all_316_0_1842 = 0 % 217.58/150.00 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.58/150.00 | (466) all_212_1_107 = all_0_3_3 % 217.58/150.00 | % 217.58/150.00 | From (466) and (6141) follows: % 217.58/150.00 | (6830) mem(all_244_1_1231, all_0_3_3) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (65) with all_244_1_1231, all_0_3_3, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_3_3) = all_244_0_1230, mem(all_244_1_1231, all_0_3_3) = 0, yields: % 217.58/150.00 | (6460) all_244_0_1230 = 0 % 217.58/150.00 | % 217.58/150.00 | Equations (6460) can reduce 6140 to: % 217.58/150.00 | (175) $false % 217.58/150.00 | % 217.58/150.00 |-The branch is then unsatisfiable % 217.58/150.00 |-Branch two: % 217.58/150.00 | (9177) all_292_0_1801 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 217.58/150.00 | % 217.58/150.00 | Applying alpha-rule on (9177) yields: % 217.58/150.00 | (9147) all_292_0_1801 = 0 % 217.58/150.00 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 217.58/150.00 | (358) all_135_1_87 = all_0_3_3 % 217.58/150.00 | % 217.58/150.00 | From (358) and (231) follows: % 217.58/150.00 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 217.58/150.00 | % 217.58/150.00 +-Applying beta-rule and splitting (9419), into two cases. % 217.58/150.00 |-Branch one: % 217.58/150.00 | (9430) all_308_0_1841 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.58/150.00 | % 217.58/150.00 | Applying alpha-rule on (9430) yields: % 217.58/150.00 | (9431) all_308_0_1841 = 0 % 217.58/150.00 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.58/150.00 | (423) all_165_2_96 = all_0_2_2 % 217.58/150.00 | % 217.58/150.00 | From (423) and (6142) follows: % 217.58/150.00 | (6842) mem(all_244_1_1231, all_0_2_2) = all_244_0_1230 % 217.58/150.00 | % 217.58/150.00 +-Applying beta-rule and splitting (9424), into two cases. % 217.58/150.00 |-Branch one: % 217.58/150.00 | (9442) all_316_0_1842 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.58/150.00 | % 217.58/150.00 | Applying alpha-rule on (9442) yields: % 217.58/150.00 | (9443) all_316_0_1842 = 0 % 217.58/150.00 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.58/150.00 | (459) all_212_1_107 = all_0_2_2 % 217.58/150.00 | % 217.58/150.00 | From (459) and (6141) follows: % 217.58/150.00 | (6847) mem(all_244_1_1231, all_0_2_2) = 0 % 217.58/150.00 | % 217.58/150.00 | Instantiating formula (65) with all_244_1_1231, all_0_2_2, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_2_2) = all_244_0_1230, mem(all_244_1_1231, all_0_2_2) = 0, yields: % 217.58/150.00 | (6460) all_244_0_1230 = 0 % 217.58/150.00 | % 217.58/150.00 | Equations (6460) can reduce 6140 to: % 217.58/150.00 | (175) $false % 217.58/150.00 | % 217.58/150.00 |-The branch is then unsatisfiable % 217.58/150.00 |-Branch two: % 217.58/150.00 | (9449) all_316_0_1842 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.58/150.00 | % 217.58/150.01 | Applying alpha-rule on (9449) yields: % 217.58/150.01 | (9443) all_316_0_1842 = 0 % 217.58/150.01 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.58/150.01 | (466) all_212_1_107 = all_0_3_3 % 217.58/150.01 | % 217.58/150.01 | From (466) and (286) follows: % 217.58/150.01 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.58/150.01 | (261) all_135_0_86 = 0 % 217.58/150.01 | % 217.58/150.01 | Equations (261) can reduce 230 to: % 217.58/150.01 | (175) $false % 217.58/150.01 | % 217.58/150.01 |-The branch is then unsatisfiable % 217.58/150.01 |-Branch two: % 217.58/150.01 | (9437) all_308_0_1841 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.58/150.01 | % 217.58/150.01 | Applying alpha-rule on (9437) yields: % 217.58/150.01 | (9431) all_308_0_1841 = 0 % 217.58/150.01 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.58/150.01 | (430) all_165_2_96 = all_0_3_3 % 217.58/150.01 | % 217.58/150.01 | From (430) and (268) follows: % 217.58/150.01 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.58/150.01 | (261) all_135_0_86 = 0 % 217.58/150.01 | % 217.58/150.01 | Equations (261) can reduce 230 to: % 217.58/150.01 | (175) $false % 217.58/150.01 | % 217.58/150.01 |-The branch is then unsatisfiable % 217.58/150.01 |-Branch two: % 217.58/150.01 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 217.58/150.01 | % 217.58/150.01 | Applying alpha-rule on (6378) yields: % 217.58/150.01 | (6312) all_265_0_1234 = 0 % 217.58/150.01 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 217.58/150.01 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 217.58/150.01 | % 217.58/150.01 | Instantiating (473) with all_316_0_1854 yields: % 217.58/150.01 | (9491) (all_316_0_1854 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_1854 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 217.58/150.01 | % 217.58/150.01 +-Applying beta-rule and splitting (9125), into two cases. % 217.58/150.01 |-Branch one: % 217.58/150.01 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 217.58/150.01 | % 217.58/150.01 | Applying alpha-rule on (9285) yields: % 217.58/150.01 | (9286) all_273_0_1800 = 0 % 217.58/150.01 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 217.58/150.01 | (1720) all_110_1_81 = all_0_5_5 % 217.58/150.01 | % 217.58/150.01 | From (1720) and (211) follows: % 217.58/150.01 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.58/150.01 | (212) all_85_0_72 = 0 % 217.58/150.01 | % 217.58/150.01 | Equations (212) can reduce 183 to: % 217.58/150.01 | (175) $false % 217.58/150.01 | % 217.58/150.01 |-The branch is then unsatisfiable % 217.58/150.01 |-Branch two: % 217.58/150.01 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 217.58/150.01 | % 217.58/150.01 | Applying alpha-rule on (9292) yields: % 217.58/150.01 | (9286) all_273_0_1800 = 0 % 217.58/150.01 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 217.58/150.01 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 217.58/150.01 | % 217.58/150.01 | Instantiating (1850) with all_324_0_1855 yields: % 217.58/150.01 | (9503) (all_324_0_1855 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_1855 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 217.58/150.01 | % 217.58/150.01 +-Applying beta-rule and splitting (9414), into two cases. % 217.58/150.01 |-Branch one: % 217.58/150.01 | (9504) all_300_0_1840 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.58/150.01 | % 217.58/150.01 | Applying alpha-rule on (9504) yields: % 217.58/150.01 | (9505) all_300_0_1840 = 0 % 217.58/150.01 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.58/150.01 | (483) all_181_1_101 = all_0_5_5 % 217.58/150.01 | % 217.58/150.01 | From (483) and (287) follows: % 217.58/150.01 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.58/150.01 | (212) all_85_0_72 = 0 % 217.58/150.01 | % 217.58/150.01 | Equations (212) can reduce 183 to: % 217.58/150.01 | (175) $false % 217.58/150.01 | % 217.58/150.01 |-The branch is then unsatisfiable % 217.58/150.01 |-Branch two: % 217.58/150.01 | (9511) all_300_0_1840 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.58/150.01 | % 217.58/150.01 | Applying alpha-rule on (9511) yields: % 217.58/150.01 | (9505) all_300_0_1840 = 0 % 217.58/150.01 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.58/150.01 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.58/150.01 | % 217.58/150.01 | Instantiating (490) with all_343_0_1856 yields: % 217.58/150.01 | (9515) (all_343_0_1856 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_1856 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.58/150.01 | % 217.58/150.01 +-Applying beta-rule and splitting (9491), into two cases. % 217.58/150.01 |-Branch one: % 217.58/150.01 | (9516) all_316_0_1854 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.58/150.01 | % 217.58/150.01 | Applying alpha-rule on (9516) yields: % 217.58/150.01 | (9517) all_316_0_1854 = 0 % 217.58/150.01 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.58/150.01 | % 217.58/150.01 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.58/150.01 | (507) all_212_1_107 = all_0_5_5 % 217.58/150.01 | % 217.58/150.01 | From (507) and (312) follows: % 217.58/150.02 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.58/150.02 | (212) all_85_0_72 = 0 % 217.58/150.02 | % 217.58/150.02 | Equations (212) can reduce 183 to: % 217.58/150.02 | (175) $false % 217.58/150.02 | % 217.58/150.02 |-The branch is then unsatisfiable % 217.58/150.02 |-Branch two: % 217.58/150.02 | (9523) all_316_0_1854 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.58/150.02 | % 217.58/150.02 | Applying alpha-rule on (9523) yields: % 217.58/150.02 | (9517) all_316_0_1854 = 0 % 217.58/150.02 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.58/150.02 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.58/150.02 | % 217.58/150.02 | Instantiating (514) with all_368_0_1861 yields: % 217.58/150.02 | (9527) (all_368_0_1861 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_1861 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.58/150.02 | % 217.58/150.02 +-Applying beta-rule and splitting (9503), into two cases. % 217.58/150.02 |-Branch one: % 217.58/150.02 | (9528) all_324_0_1855 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.58/150.02 | % 217.58/150.02 | Applying alpha-rule on (9528) yields: % 217.58/150.02 | (9529) all_324_0_1855 = 0 % 217.58/150.02 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.58/150.02 | (1884) all_110_1_81 = all_0_6_6 % 217.58/150.02 | % 217.58/150.02 | From (1884) and (210) follows: % 217.58/150.02 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 217.58/150.02 | % 217.58/150.02 +-Applying beta-rule and splitting (9527), into two cases. % 217.58/150.02 |-Branch one: % 217.58/150.02 | (9533) all_368_0_1861 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.58/150.02 | % 217.58/150.02 | Applying alpha-rule on (9533) yields: % 217.58/150.02 | (9534) all_368_0_1861 = 0 % 217.58/150.02 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.58/150.02 | (524) all_212_1_107 = all_0_6_6 % 217.58/150.02 | % 217.58/150.02 | From (524) and (301) follows: % 217.58/150.02 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.58/150.02 | (233) all_110_0_80 = 0 % 217.58/150.02 | % 217.58/150.02 | Equations (233) can reduce 209 to: % 217.58/150.02 | (175) $false % 217.58/150.02 | % 217.58/150.02 |-The branch is then unsatisfiable % 217.58/150.02 |-Branch two: % 217.58/150.02 | (9540) all_368_0_1861 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.58/150.02 | % 217.58/150.02 | Applying alpha-rule on (9540) yields: % 217.58/150.02 | (9534) all_368_0_1861 = 0 % 217.58/150.02 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.58/150.02 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.58/150.02 | % 217.58/150.02 | Instantiating (531) with all_395_0_1863 yields: % 217.58/150.02 | (9544) (all_395_0_1863 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1863 = 0 & mem(all_212_1_107, e) = 0) % 217.58/150.02 | % 217.58/150.02 +-Applying beta-rule and splitting (9544), into two cases. % 217.58/150.02 |-Branch one: % 217.58/150.02 | (9545) all_395_0_1863 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.58/150.02 | % 217.58/150.02 | Applying alpha-rule on (9545) yields: % 217.58/150.02 | (9546) all_395_0_1863 = 0 % 217.58/150.02 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.58/150.02 | (536) all_212_1_107 = e % 217.58/150.02 | % 217.58/150.02 | From (536) and (6141) follows: % 217.58/150.02 | (6440) mem(all_244_1_1231, e) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.58/150.02 | (538) $false % 217.58/150.02 | % 217.58/150.02 |-The branch is then unsatisfiable % 217.58/150.02 |-Branch two: % 217.58/150.02 | (9551) all_395_0_1863 = 0 & mem(all_212_1_107, e) = 0 % 217.58/150.02 | % 217.58/150.02 | Applying alpha-rule on (9551) yields: % 217.58/150.02 | (9546) all_395_0_1863 = 0 % 217.58/150.02 | (541) mem(all_212_1_107, e) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.58/150.02 | (538) $false % 217.58/150.02 | % 217.58/150.02 |-The branch is then unsatisfiable % 217.58/150.02 |-Branch two: % 217.58/150.02 | (9555) all_324_0_1855 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 217.58/150.02 | % 217.58/150.02 | Applying alpha-rule on (9555) yields: % 217.58/150.02 | (9529) all_324_0_1855 = 0 % 217.58/150.02 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 217.58/150.02 | % 217.58/150.02 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 217.58/150.02 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 217.58/150.02 | % 217.58/150.02 | Instantiating (1911) with all_376_0_1864 yields: % 217.58/150.02 | (9559) (all_376_0_1864 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_376_0_1864 = 0 & mem(all_110_1_81, e) = 0) % 217.58/150.02 | % 217.58/150.02 +-Applying beta-rule and splitting (9515), into two cases. % 217.58/150.02 |-Branch one: % 217.58/150.02 | (9560) all_343_0_1856 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.58/150.02 | % 217.58/150.03 | Applying alpha-rule on (9560) yields: % 217.58/150.03 | (9561) all_343_0_1856 = 0 % 217.58/150.03 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.58/150.03 | (519) all_181_1_101 = all_0_6_6 % 217.58/150.03 | % 217.58/150.03 | From (519) and (259) follows: % 217.58/150.03 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 217.58/150.03 | % 217.58/150.03 +-Applying beta-rule and splitting (9527), into two cases. % 217.58/150.03 |-Branch one: % 217.58/150.03 | (9533) all_368_0_1861 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.58/150.03 | % 217.58/150.03 | Applying alpha-rule on (9533) yields: % 217.58/150.03 | (9534) all_368_0_1861 = 0 % 217.58/150.03 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.58/150.03 | (524) all_212_1_107 = all_0_6_6 % 217.58/150.03 | % 217.58/150.03 | From (524) and (281) follows: % 217.58/150.03 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 217.58/150.03 | (526) all_181_0_100 = 0 % 217.58/150.03 | % 217.58/150.03 | Equations (526) can reduce 258 to: % 217.58/150.03 | (175) $false % 217.58/150.03 | % 217.58/150.03 |-The branch is then unsatisfiable % 217.58/150.03 |-Branch two: % 217.58/150.03 | (9540) all_368_0_1861 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.58/150.03 | % 217.58/150.03 | Applying alpha-rule on (9540) yields: % 217.58/150.03 | (9534) all_368_0_1861 = 0 % 217.58/150.03 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.58/150.03 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.58/150.03 | % 217.58/150.03 | Instantiating (531) with all_395_0_1865 yields: % 217.58/150.03 | (9576) (all_395_0_1865 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1865 = 0 & mem(all_212_1_107, e) = 0) % 217.58/150.03 | % 217.58/150.03 +-Applying beta-rule and splitting (9576), into two cases. % 217.58/150.03 |-Branch one: % 217.58/150.03 | (9577) all_395_0_1865 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.58/150.03 | % 217.58/150.03 | Applying alpha-rule on (9577) yields: % 217.58/150.03 | (9578) all_395_0_1865 = 0 % 217.58/150.03 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.58/150.03 | (536) all_212_1_107 = e % 217.58/150.03 | % 217.58/150.03 | From (536) and (6141) follows: % 217.58/150.03 | (6440) mem(all_244_1_1231, e) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.58/150.03 | (538) $false % 217.58/150.03 | % 217.58/150.03 |-The branch is then unsatisfiable % 217.58/150.03 |-Branch two: % 217.58/150.03 | (9583) all_395_0_1865 = 0 & mem(all_212_1_107, e) = 0 % 217.58/150.03 | % 217.58/150.03 | Applying alpha-rule on (9583) yields: % 217.58/150.03 | (9578) all_395_0_1865 = 0 % 217.58/150.03 | (541) mem(all_212_1_107, e) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.58/150.03 | (538) $false % 217.58/150.03 | % 217.58/150.03 |-The branch is then unsatisfiable % 217.58/150.03 |-Branch two: % 217.58/150.03 | (9587) all_343_0_1856 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.58/150.03 | % 217.58/150.03 | Applying alpha-rule on (9587) yields: % 217.58/150.03 | (9561) all_343_0_1856 = 0 % 217.58/150.03 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.58/150.03 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.58/150.03 | % 217.58/150.03 | Instantiating (546) with all_384_0_1866 yields: % 217.58/150.03 | (9591) (all_384_0_1866 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_384_0_1866 = 0 & mem(all_181_1_101, e) = 0) % 217.58/150.03 | % 217.58/150.03 +-Applying beta-rule and splitting (9559), into two cases. % 217.58/150.03 |-Branch one: % 217.58/150.03 | (9592) all_376_0_1864 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.58/150.03 | % 217.58/150.03 | Applying alpha-rule on (9592) yields: % 217.58/150.03 | (9593) all_376_0_1864 = 0 % 217.58/150.03 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.58/150.03 | (1953) all_110_1_81 = e % 217.58/150.03 | % 217.58/150.03 | From (1953) and (210) follows: % 217.58/150.03 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.58/150.03 | % 217.58/150.03 +-Applying beta-rule and splitting (9591), into two cases. % 217.58/150.03 |-Branch one: % 217.58/150.03 | (9597) all_384_0_1866 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.58/150.03 | % 217.58/150.03 | Applying alpha-rule on (9597) yields: % 217.58/150.03 | (9598) all_384_0_1866 = 0 % 217.58/150.03 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.58/150.03 | (588) all_181_1_101 = e % 217.58/150.03 | % 217.58/150.03 | From (588) and (267) follows: % 217.58/150.03 | (1959) mem(e, all_74_1_69) = 0 % 217.58/150.03 | % 217.58/150.03 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.58/150.03 | (233) all_110_0_80 = 0 % 217.58/150.03 | % 217.58/150.03 | Equations (233) can reduce 209 to: % 217.58/150.03 | (175) $false % 217.58/150.03 | % 217.58/150.03 |-The branch is then unsatisfiable % 217.58/150.03 |-Branch two: % 217.58/150.03 | (9604) all_384_0_1866 = 0 & mem(all_181_1_101, e) = 0 % 217.58/150.03 | % 217.58/150.04 | Applying alpha-rule on (9604) yields: % 217.58/150.04 | (9598) all_384_0_1866 = 0 % 217.58/150.04 | (603) mem(all_181_1_101, e) = 0 % 217.58/150.04 | % 217.58/150.04 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.58/150.04 | (538) $false % 217.58/150.04 | % 217.58/150.04 |-The branch is then unsatisfiable % 217.58/150.04 |-Branch two: % 217.58/150.04 | (9608) all_376_0_1864 = 0 & mem(all_110_1_81, e) = 0 % 217.58/150.04 | % 217.58/150.04 | Applying alpha-rule on (9608) yields: % 217.58/150.04 | (9593) all_376_0_1864 = 0 % 217.58/150.04 | (1968) mem(all_110_1_81, e) = 0 % 217.58/150.04 | % 217.58/150.04 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.58/150.04 | (538) $false % 217.58/150.04 | % 217.58/150.04 |-The branch is then unsatisfiable % 217.58/150.04 |-Branch two: % 217.65/150.04 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 217.65/150.04 | % 217.65/150.04 | Applying alpha-rule on (6306) yields: % 217.65/150.04 | (6240) all_259_0_1233 = 0 % 217.65/150.04 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 217.65/150.04 | % 217.65/150.04 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 217.65/150.04 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 217.65/150.04 | % 217.65/150.04 | Instantiating (437) with all_308_0_1874 yields: % 217.65/150.04 | (9616) (all_308_0_1874 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_1874 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 217.65/150.04 | % 217.65/150.04 +-Applying beta-rule and splitting (9125), into two cases. % 217.65/150.04 |-Branch one: % 217.65/150.04 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 217.65/150.04 | % 217.65/150.04 | Applying alpha-rule on (9285) yields: % 217.65/150.04 | (9286) all_273_0_1800 = 0 % 217.65/150.04 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 217.65/150.04 | % 217.65/150.04 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 217.65/150.04 | (1720) all_110_1_81 = all_0_5_5 % 217.65/150.04 | % 217.65/150.04 | From (1720) and (211) follows: % 217.65/150.04 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.65/150.04 | % 217.65/150.04 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.65/150.04 | (212) all_85_0_72 = 0 % 217.65/150.04 | % 217.65/150.04 | Equations (212) can reduce 183 to: % 217.65/150.04 | (175) $false % 217.65/150.04 | % 217.65/150.04 |-The branch is then unsatisfiable % 217.65/150.04 |-Branch two: % 217.65/150.04 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 217.65/150.04 | % 217.65/150.04 | Applying alpha-rule on (9292) yields: % 217.65/150.04 | (9286) all_273_0_1800 = 0 % 217.65/150.04 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 217.65/150.04 | % 217.65/150.04 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 217.65/150.04 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 217.65/150.04 | % 217.65/150.04 | Instantiating (1850) with all_324_0_1876 yields: % 217.65/150.04 | (9628) (all_324_0_1876 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_1876 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 217.65/150.04 | % 217.65/150.04 +-Applying beta-rule and splitting (9414), into two cases. % 217.65/150.04 |-Branch one: % 217.65/150.04 | (9504) all_300_0_1840 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.65/150.04 | % 217.65/150.04 | Applying alpha-rule on (9504) yields: % 217.65/150.04 | (9505) all_300_0_1840 = 0 % 217.65/150.04 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.65/150.04 | % 217.65/150.04 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.65/150.04 | (483) all_181_1_101 = all_0_5_5 % 217.65/150.04 | % 217.65/150.04 | From (483) and (287) follows: % 217.65/150.04 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.65/150.04 | % 217.65/150.04 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.65/150.04 | (212) all_85_0_72 = 0 % 217.65/150.04 | % 217.65/150.04 | Equations (212) can reduce 183 to: % 217.65/150.04 | (175) $false % 217.65/150.04 | % 217.65/150.04 |-The branch is then unsatisfiable % 217.65/150.04 |-Branch two: % 217.65/150.04 | (9511) all_300_0_1840 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.65/150.04 | % 217.65/150.04 | Applying alpha-rule on (9511) yields: % 217.65/150.04 | (9505) all_300_0_1840 = 0 % 217.65/150.04 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.65/150.04 | % 217.65/150.04 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.65/150.04 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.65/150.04 | % 217.65/150.04 | Instantiating (490) with all_343_0_1877 yields: % 217.65/150.05 | (9640) (all_343_0_1877 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_343_0_1877 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.65/150.05 | % 217.65/150.05 +-Applying beta-rule and splitting (9616), into two cases. % 217.65/150.05 |-Branch one: % 217.65/150.05 | (9641) all_308_0_1874 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.65/150.05 | % 217.65/150.05 | Applying alpha-rule on (9641) yields: % 217.65/150.05 | (9642) all_308_0_1874 = 0 % 217.65/150.05 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.65/150.05 | (495) all_165_2_96 = all_0_5_5 % 217.65/150.05 | % 217.65/150.05 | From (495) and (303) follows: % 217.65/150.05 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.65/150.05 | (212) all_85_0_72 = 0 % 217.65/150.05 | % 217.65/150.05 | Equations (212) can reduce 183 to: % 217.65/150.05 | (175) $false % 217.65/150.05 | % 217.65/150.05 |-The branch is then unsatisfiable % 217.65/150.05 |-Branch two: % 217.65/150.05 | (9648) all_308_0_1874 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.65/150.05 | % 217.65/150.05 | Applying alpha-rule on (9648) yields: % 217.65/150.05 | (9642) all_308_0_1874 = 0 % 217.65/150.05 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.65/150.05 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.65/150.05 | % 217.65/150.05 | Instantiating (502) with all_351_0_1878 yields: % 217.65/150.05 | (9652) (all_351_0_1878 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_1878 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.65/150.05 | % 217.65/150.05 +-Applying beta-rule and splitting (9628), into two cases. % 217.65/150.05 |-Branch one: % 217.65/150.05 | (9653) all_324_0_1876 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.65/150.05 | % 217.65/150.05 | Applying alpha-rule on (9653) yields: % 217.65/150.05 | (9654) all_324_0_1876 = 0 % 217.65/150.05 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.65/150.05 | (1884) all_110_1_81 = all_0_6_6 % 217.65/150.05 | % 217.65/150.05 | From (1884) and (210) follows: % 217.65/150.05 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 217.65/150.05 | % 217.65/150.05 +-Applying beta-rule and splitting (9640), into two cases. % 217.65/150.05 |-Branch one: % 217.65/150.05 | (9658) all_343_0_1877 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.65/150.05 | % 217.65/150.05 | Applying alpha-rule on (9658) yields: % 217.65/150.05 | (9659) all_343_0_1877 = 0 % 217.65/150.05 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.65/150.05 | (519) all_181_1_101 = all_0_6_6 % 217.65/150.05 | % 217.65/150.05 | From (519) and (267) follows: % 217.65/150.05 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.65/150.05 | (233) all_110_0_80 = 0 % 217.65/150.05 | % 217.65/150.05 | Equations (233) can reduce 209 to: % 217.65/150.05 | (175) $false % 217.65/150.05 | % 217.65/150.05 |-The branch is then unsatisfiable % 217.65/150.05 |-Branch two: % 217.65/150.05 | (9665) all_343_0_1877 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.65/150.05 | % 217.65/150.05 | Applying alpha-rule on (9665) yields: % 217.65/150.05 | (9659) all_343_0_1877 = 0 % 217.65/150.05 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.65/150.05 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.65/150.05 | % 217.65/150.05 | Instantiating (546) with all_395_0_1881 yields: % 217.65/150.05 | (9669) (all_395_0_1881 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_395_0_1881 = 0 & mem(all_181_1_101, e) = 0) % 217.65/150.05 | % 217.65/150.05 +-Applying beta-rule and splitting (9652), into two cases. % 217.65/150.05 |-Branch one: % 217.65/150.05 | (9670) all_351_0_1878 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.65/150.05 | % 217.65/150.05 | Applying alpha-rule on (9670) yields: % 217.65/150.05 | (9671) all_351_0_1878 = 0 % 217.65/150.05 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.65/150.05 | (551) all_165_2_96 = all_0_6_6 % 217.65/150.05 | % 217.65/150.05 | From (551) and (288) follows: % 217.65/150.05 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.65/150.05 | (233) all_110_0_80 = 0 % 217.65/150.05 | % 217.65/150.05 | Equations (233) can reduce 209 to: % 217.65/150.05 | (175) $false % 217.65/150.05 | % 217.65/150.05 |-The branch is then unsatisfiable % 217.65/150.05 |-Branch two: % 217.65/150.05 | (9677) all_351_0_1878 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.65/150.05 | % 217.65/150.05 | Applying alpha-rule on (9677) yields: % 217.65/150.05 | (9671) all_351_0_1878 = 0 % 217.65/150.05 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.65/150.05 | % 217.65/150.05 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.65/150.05 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.65/150.05 | % 217.65/150.05 | Instantiating (583) with all_403_0_1882 yields: % 217.65/150.05 | (9681) (all_403_0_1882 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_1882 = 0 & mem(all_165_2_96, e) = 0) % 217.65/150.05 | % 217.65/150.05 +-Applying beta-rule and splitting (9669), into two cases. % 217.65/150.05 |-Branch one: % 217.65/150.05 | (9682) all_395_0_1881 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.65/150.05 | % 217.65/150.05 | Applying alpha-rule on (9682) yields: % 217.65/150.05 | (9683) all_395_0_1881 = 0 % 217.65/150.05 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.65/150.05 | % 217.65/150.06 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.65/150.06 | (588) all_181_1_101 = e % 217.65/150.06 | % 217.65/150.06 | From (588) and (259) follows: % 217.65/150.06 | (589) mem(e, all_129_1_85) = all_181_0_100 % 217.65/150.06 | % 217.65/150.06 +-Applying beta-rule and splitting (9681), into two cases. % 217.65/150.06 |-Branch one: % 217.65/150.06 | (9687) all_403_0_1882 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.65/150.06 | % 217.65/150.06 | Applying alpha-rule on (9687) yields: % 217.65/150.06 | (9688) all_403_0_1882 = 0 % 217.65/150.06 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.65/150.06 | (593) all_165_2_96 = e % 217.65/150.06 | % 217.65/150.06 | From (593) and (248) follows: % 217.65/150.06 | (594) mem(e, all_129_1_85) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 217.65/150.06 | (526) all_181_0_100 = 0 % 217.65/150.06 | % 217.65/150.06 | Equations (526) can reduce 258 to: % 217.65/150.06 | (175) $false % 217.65/150.06 | % 217.65/150.06 |-The branch is then unsatisfiable % 217.65/150.06 |-Branch two: % 217.65/150.06 | (9694) all_403_0_1882 = 0 & mem(all_165_2_96, e) = 0 % 217.65/150.06 | % 217.65/150.06 | Applying alpha-rule on (9694) yields: % 217.65/150.06 | (9688) all_403_0_1882 = 0 % 217.65/150.06 | (599) mem(all_165_2_96, e) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.65/150.06 | (538) $false % 217.65/150.06 | % 217.65/150.06 |-The branch is then unsatisfiable % 217.65/150.06 |-Branch two: % 217.65/150.06 | (9698) all_395_0_1881 = 0 & mem(all_181_1_101, e) = 0 % 217.65/150.06 | % 217.65/150.06 | Applying alpha-rule on (9698) yields: % 217.65/150.06 | (9683) all_395_0_1881 = 0 % 217.65/150.06 | (603) mem(all_181_1_101, e) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.65/150.06 | (538) $false % 217.65/150.06 | % 217.65/150.06 |-The branch is then unsatisfiable % 217.65/150.06 |-Branch two: % 217.65/150.06 | (9702) all_324_0_1876 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 217.65/150.06 | % 217.65/150.06 | Applying alpha-rule on (9702) yields: % 217.65/150.06 | (9654) all_324_0_1876 = 0 % 217.65/150.06 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 217.65/150.06 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 217.65/150.06 | % 217.65/150.06 | Instantiating (1911) with all_388_0_1885 yields: % 217.65/150.06 | (9706) (all_388_0_1885 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_388_0_1885 = 0 & mem(all_110_1_81, e) = 0) % 217.65/150.06 | % 217.65/150.06 +-Applying beta-rule and splitting (9640), into two cases. % 217.65/150.06 |-Branch one: % 217.65/150.06 | (9658) all_343_0_1877 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.65/150.06 | % 217.65/150.06 | Applying alpha-rule on (9658) yields: % 217.65/150.06 | (9659) all_343_0_1877 = 0 % 217.65/150.06 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.65/150.06 | (519) all_181_1_101 = all_0_6_6 % 217.65/150.06 | % 217.65/150.06 | From (519) and (259) follows: % 217.65/150.06 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 217.65/150.06 | % 217.65/150.06 +-Applying beta-rule and splitting (9652), into two cases. % 217.65/150.06 |-Branch one: % 217.65/150.06 | (9670) all_351_0_1878 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.65/150.06 | % 217.65/150.06 | Applying alpha-rule on (9670) yields: % 217.65/150.06 | (9671) all_351_0_1878 = 0 % 217.65/150.06 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.65/150.06 | (551) all_165_2_96 = all_0_6_6 % 217.65/150.06 | % 217.65/150.06 | From (551) and (248) follows: % 217.65/150.06 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 217.65/150.06 | (526) all_181_0_100 = 0 % 217.65/150.06 | % 217.65/150.06 | Equations (526) can reduce 258 to: % 217.65/150.06 | (175) $false % 217.65/150.06 | % 217.65/150.06 |-The branch is then unsatisfiable % 217.65/150.06 |-Branch two: % 217.65/150.06 | (9677) all_351_0_1878 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.65/150.06 | % 217.65/150.06 | Applying alpha-rule on (9677) yields: % 217.65/150.06 | (9671) all_351_0_1878 = 0 % 217.65/150.06 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.65/150.06 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.65/150.06 | % 217.65/150.06 | Instantiating (583) with all_407_0_1886 yields: % 217.65/150.06 | (9723) (all_407_0_1886 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_1886 = 0 & mem(all_165_2_96, e) = 0) % 217.65/150.06 | % 217.65/150.06 +-Applying beta-rule and splitting (9706), into two cases. % 217.65/150.06 |-Branch one: % 217.65/150.06 | (9724) all_388_0_1885 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.65/150.06 | % 217.65/150.06 | Applying alpha-rule on (9724) yields: % 217.65/150.06 | (9725) all_388_0_1885 = 0 % 217.65/150.06 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.65/150.06 | % 217.65/150.06 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.65/150.06 | (1953) all_110_1_81 = e % 217.65/150.07 | % 217.65/150.07 | From (1953) and (210) follows: % 217.65/150.07 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.65/150.07 | % 217.65/150.07 +-Applying beta-rule and splitting (9723), into two cases. % 217.65/150.07 |-Branch one: % 217.65/150.07 | (9729) all_407_0_1886 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.65/150.07 | % 217.65/150.07 | Applying alpha-rule on (9729) yields: % 217.65/150.07 | (9730) all_407_0_1886 = 0 % 217.65/150.07 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.65/150.07 | % 217.65/150.07 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.65/150.07 | (593) all_165_2_96 = e % 217.65/150.07 | % 217.65/150.07 | From (593) and (288) follows: % 217.65/150.07 | (1959) mem(e, all_74_1_69) = 0 % 217.65/150.07 | % 217.65/150.07 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.65/150.07 | (233) all_110_0_80 = 0 % 217.65/150.07 | % 217.65/150.07 | Equations (233) can reduce 209 to: % 217.65/150.07 | (175) $false % 217.65/150.07 | % 217.65/150.07 |-The branch is then unsatisfiable % 217.65/150.07 |-Branch two: % 217.65/150.07 | (9736) all_407_0_1886 = 0 & mem(all_165_2_96, e) = 0 % 217.65/150.07 | % 217.65/150.07 | Applying alpha-rule on (9736) yields: % 217.65/150.07 | (9730) all_407_0_1886 = 0 % 217.65/150.07 | (599) mem(all_165_2_96, e) = 0 % 217.65/150.07 | % 217.65/150.07 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.65/150.07 | (538) $false % 217.65/150.07 | % 217.65/150.07 |-The branch is then unsatisfiable % 217.65/150.07 |-Branch two: % 217.65/150.07 | (9740) all_388_0_1885 = 0 & mem(all_110_1_81, e) = 0 % 217.65/150.07 | % 217.65/150.07 | Applying alpha-rule on (9740) yields: % 217.68/150.07 | (9725) all_388_0_1885 = 0 % 217.68/150.07 | (1968) mem(all_110_1_81, e) = 0 % 217.68/150.07 | % 217.68/150.07 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.68/150.07 | (538) $false % 217.68/150.07 | % 217.68/150.07 |-The branch is then unsatisfiable % 217.68/150.07 |-Branch two: % 217.68/150.07 | (9665) all_343_0_1877 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.68/150.07 | % 217.68/150.07 | Applying alpha-rule on (9665) yields: % 217.68/150.07 | (9659) all_343_0_1877 = 0 % 217.68/150.07 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.68/150.07 | % 217.68/150.07 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.68/150.07 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.68/150.07 | % 217.68/150.07 | Instantiating (546) with all_396_0_1887 yields: % 217.68/150.07 | (9748) (all_396_0_1887 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_396_0_1887 = 0 & mem(all_181_1_101, e) = 0) % 217.68/150.07 | % 217.68/150.07 +-Applying beta-rule and splitting (9706), into two cases. % 217.68/150.07 |-Branch one: % 217.68/150.07 | (9724) all_388_0_1885 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.68/150.07 | % 217.68/150.07 | Applying alpha-rule on (9724) yields: % 217.68/150.07 | (9725) all_388_0_1885 = 0 % 217.68/150.07 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.68/150.07 | % 217.68/150.07 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.68/150.07 | (1953) all_110_1_81 = e % 217.68/150.07 | % 217.68/150.07 | From (1953) and (210) follows: % 217.68/150.07 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.68/150.07 | % 217.68/150.07 +-Applying beta-rule and splitting (9748), into two cases. % 217.68/150.07 |-Branch one: % 217.68/150.07 | (9754) all_396_0_1887 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.68/150.07 | % 217.68/150.07 | Applying alpha-rule on (9754) yields: % 217.68/150.07 | (9755) all_396_0_1887 = 0 % 217.68/150.07 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.68/150.07 | % 217.68/150.07 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.68/150.07 | (588) all_181_1_101 = e % 217.68/150.07 | % 217.68/150.07 | From (588) and (267) follows: % 217.68/150.07 | (1959) mem(e, all_74_1_69) = 0 % 217.68/150.07 | % 217.68/150.07 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.68/150.07 | (233) all_110_0_80 = 0 % 217.68/150.07 | % 217.68/150.07 | Equations (233) can reduce 209 to: % 217.68/150.07 | (175) $false % 217.68/150.07 | % 217.68/150.07 |-The branch is then unsatisfiable % 217.68/150.07 |-Branch two: % 217.68/150.07 | (9761) all_396_0_1887 = 0 & mem(all_181_1_101, e) = 0 % 217.68/150.07 | % 217.68/150.07 | Applying alpha-rule on (9761) yields: % 217.68/150.07 | (9755) all_396_0_1887 = 0 % 217.68/150.07 | (603) mem(all_181_1_101, e) = 0 % 217.68/150.07 | % 217.68/150.07 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.68/150.07 | (538) $false % 217.68/150.07 | % 217.68/150.07 |-The branch is then unsatisfiable % 217.68/150.07 |-Branch two: % 217.68/150.07 | (9740) all_388_0_1885 = 0 & mem(all_110_1_81, e) = 0 % 217.68/150.07 | % 217.68/150.07 | Applying alpha-rule on (9740) yields: % 217.68/150.07 | (9725) all_388_0_1885 = 0 % 217.68/150.07 | (1968) mem(all_110_1_81, e) = 0 % 217.68/150.07 | % 217.68/150.07 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.68/150.08 | (538) $false % 217.68/150.08 | % 217.68/150.08 |-The branch is then unsatisfiable % 217.68/150.08 |-Branch two: % 217.68/150.08 | (6508) all_227_0_1228 = 0 & mem(all_135_1_87, all_0_4_4) = 0 % 217.68/150.08 | % 217.68/150.08 | Applying alpha-rule on (6508) yields: % 217.68/150.08 | (6163) all_227_0_1228 = 0 % 217.68/150.08 | (364) mem(all_135_1_87, all_0_4_4) = 0 % 217.68/150.08 | % 217.68/150.08 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_135_1_87, all_0_4_4) = 0, yields: % 217.68/150.08 | (365) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_5_5) = 0)) % 217.68/150.08 | % 217.68/150.08 | Instantiating (365) with all_292_0_1896 yields: % 217.68/150.08 | (9773) (all_292_0_1896 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (all_292_0_1896 = 0 & mem(all_135_1_87, all_0_5_5) = 0) % 217.68/150.08 | % 217.68/150.08 +-Applying beta-rule and splitting (6146), into two cases. % 217.68/150.08 |-Branch one: % 217.68/150.08 | (6167) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 217.68/150.08 | % 217.68/150.08 | Applying alpha-rule on (6167) yields: % 217.68/150.08 | (6168) all_252_0_1232 = 0 % 217.68/150.08 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 217.68/150.08 | % 217.68/150.08 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 217.68/150.08 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 217.68/150.08 | % 217.68/150.08 | Instantiating (370) with all_300_0_1897 yields: % 217.68/150.08 | (9778) (all_300_0_1897 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_300_0_1897 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 217.68/150.08 | % 217.68/150.08 +-Applying beta-rule and splitting (6149), into two cases. % 217.68/150.08 |-Branch one: % 217.68/150.08 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 217.68/150.08 | % 217.68/150.08 | Applying alpha-rule on (6239) yields: % 217.68/150.08 | (6240) all_259_0_1233 = 0 % 217.68/150.08 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 217.68/150.08 | % 217.68/150.08 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 217.68/150.08 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 217.68/150.08 | % 217.68/150.08 | Instantiating (406) with all_308_0_1898 yields: % 217.68/150.08 | (9783) (all_308_0_1898 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_308_0_1898 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 217.68/150.08 | % 217.68/150.08 +-Applying beta-rule and splitting (6151), into two cases. % 217.68/150.08 |-Branch one: % 217.68/150.08 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 217.68/150.08 | % 217.68/150.08 | Applying alpha-rule on (6311) yields: % 217.68/150.08 | (6312) all_265_0_1234 = 0 % 217.68/150.08 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 217.68/150.08 | % 217.68/150.08 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 217.68/150.08 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 217.68/150.08 | % 217.68/150.08 | Instantiating (442) with all_316_0_1899 yields: % 217.68/150.08 | (9788) (all_316_0_1899 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_316_0_1899 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 217.68/150.08 | % 217.68/150.08 +-Applying beta-rule and splitting (9778), into two cases. % 217.68/150.08 |-Branch one: % 217.68/150.08 | (9789) all_300_0_1897 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.68/150.08 | % 217.68/150.08 | Applying alpha-rule on (9789) yields: % 217.68/150.08 | (9790) all_300_0_1897 = 0 % 217.68/150.08 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.68/150.08 | % 217.68/150.08 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.68/150.08 | (387) all_181_1_101 = all_0_2_2 % 217.68/150.08 | % 217.68/150.08 | From (387) and (259) follows: % 217.68/150.08 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 217.68/150.08 | % 217.68/150.08 +-Applying beta-rule and splitting (9783), into two cases. % 217.68/150.08 |-Branch one: % 217.68/150.08 | (9794) all_308_0_1898 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.68/150.08 | % 217.68/150.08 | Applying alpha-rule on (9794) yields: % 217.68/150.08 | (9795) all_308_0_1898 = 0 % 217.68/150.08 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.68/150.08 | % 217.68/150.08 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.68/150.08 | (423) all_165_2_96 = all_0_2_2 % 217.68/150.08 | % 217.68/150.08 | From (423) and (248) follows: % 217.68/150.08 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 217.68/150.08 | % 217.68/150.08 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 217.68/150.08 | (526) all_181_0_100 = 0 % 217.68/150.08 | % 217.68/150.08 | Equations (526) can reduce 258 to: % 217.68/150.08 | (175) $false % 217.68/150.08 | % 217.68/150.08 |-The branch is then unsatisfiable % 217.68/150.08 |-Branch two: % 217.68/150.08 | (9801) all_308_0_1898 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.68/150.08 | % 217.68/150.08 | Applying alpha-rule on (9801) yields: % 217.68/150.08 | (9795) all_308_0_1898 = 0 % 217.68/150.08 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.68/150.08 | % 217.68/150.08 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.68/150.08 | (430) all_165_2_96 = all_0_3_3 % 217.68/150.08 | % 217.68/150.08 | From (430) and (6142) follows: % 217.68/150.09 | (6818) mem(all_244_1_1231, all_0_3_3) = all_244_0_1230 % 217.68/150.09 | % 217.68/150.09 +-Applying beta-rule and splitting (9788), into two cases. % 217.68/150.09 |-Branch one: % 217.68/150.09 | (9806) all_316_0_1899 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.68/150.09 | % 217.68/150.09 | Applying alpha-rule on (9806) yields: % 217.68/150.09 | (9807) all_316_0_1899 = 0 % 217.68/150.09 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.68/150.09 | (459) all_212_1_107 = all_0_2_2 % 217.68/150.09 | % 217.68/150.09 | From (459) and (281) follows: % 217.68/150.09 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 217.68/150.09 | (526) all_181_0_100 = 0 % 217.68/150.09 | % 217.68/150.09 | Equations (526) can reduce 258 to: % 217.68/150.09 | (175) $false % 217.68/150.09 | % 217.68/150.09 |-The branch is then unsatisfiable % 217.68/150.09 |-Branch two: % 217.68/150.09 | (9813) all_316_0_1899 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.68/150.09 | % 217.68/150.09 | Applying alpha-rule on (9813) yields: % 217.68/150.09 | (9807) all_316_0_1899 = 0 % 217.68/150.09 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.68/150.09 | (466) all_212_1_107 = all_0_3_3 % 217.68/150.09 | % 217.68/150.09 | From (466) and (6141) follows: % 217.68/150.09 | (6830) mem(all_244_1_1231, all_0_3_3) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (65) with all_244_1_1231, all_0_3_3, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_3_3) = all_244_0_1230, mem(all_244_1_1231, all_0_3_3) = 0, yields: % 217.68/150.09 | (6460) all_244_0_1230 = 0 % 217.68/150.09 | % 217.68/150.09 | Equations (6460) can reduce 6140 to: % 217.68/150.09 | (175) $false % 217.68/150.09 | % 217.68/150.09 |-The branch is then unsatisfiable % 217.68/150.09 |-Branch two: % 217.68/150.09 | (9820) all_300_0_1897 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.68/150.09 | % 217.68/150.09 | Applying alpha-rule on (9820) yields: % 217.68/150.09 | (9790) all_300_0_1897 = 0 % 217.68/150.09 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.68/150.09 | (394) all_181_1_101 = all_0_3_3 % 217.68/150.09 | % 217.68/150.09 | From (394) and (259) follows: % 217.68/150.09 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 217.68/150.09 | % 217.68/150.09 +-Applying beta-rule and splitting (9783), into two cases. % 217.68/150.09 |-Branch one: % 217.68/150.09 | (9794) all_308_0_1898 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.68/150.09 | % 217.68/150.09 | Applying alpha-rule on (9794) yields: % 217.68/150.09 | (9795) all_308_0_1898 = 0 % 217.68/150.09 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.68/150.09 | (423) all_165_2_96 = all_0_2_2 % 217.68/150.09 | % 217.68/150.09 | From (423) and (6142) follows: % 217.68/150.09 | (6842) mem(all_244_1_1231, all_0_2_2) = all_244_0_1230 % 217.68/150.09 | % 217.68/150.09 +-Applying beta-rule and splitting (9788), into two cases. % 217.68/150.09 |-Branch one: % 217.68/150.09 | (9806) all_316_0_1899 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.68/150.09 | % 217.68/150.09 | Applying alpha-rule on (9806) yields: % 217.68/150.09 | (9807) all_316_0_1899 = 0 % 217.68/150.09 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.68/150.09 | (459) all_212_1_107 = all_0_2_2 % 217.68/150.09 | % 217.68/150.09 | From (459) and (6141) follows: % 217.68/150.09 | (6847) mem(all_244_1_1231, all_0_2_2) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (65) with all_244_1_1231, all_0_2_2, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_2_2) = all_244_0_1230, mem(all_244_1_1231, all_0_2_2) = 0, yields: % 217.68/150.09 | (6460) all_244_0_1230 = 0 % 217.68/150.09 | % 217.68/150.09 | Equations (6460) can reduce 6140 to: % 217.68/150.09 | (175) $false % 217.68/150.09 | % 217.68/150.09 |-The branch is then unsatisfiable % 217.68/150.09 |-Branch two: % 217.68/150.09 | (9813) all_316_0_1899 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.68/150.09 | % 217.68/150.09 | Applying alpha-rule on (9813) yields: % 217.68/150.09 | (9807) all_316_0_1899 = 0 % 217.68/150.09 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.68/150.09 | % 217.68/150.09 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.68/150.09 | (466) all_212_1_107 = all_0_3_3 % 217.68/150.09 | % 217.68/150.09 | From (466) and (281) follows: % 217.68/150.10 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 217.68/150.10 | (526) all_181_0_100 = 0 % 217.68/150.10 | % 217.68/150.10 | Equations (526) can reduce 258 to: % 217.68/150.10 | (175) $false % 217.68/150.10 | % 217.68/150.10 |-The branch is then unsatisfiable % 217.68/150.10 |-Branch two: % 217.68/150.10 | (9801) all_308_0_1898 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.68/150.10 | % 217.68/150.10 | Applying alpha-rule on (9801) yields: % 217.68/150.10 | (9795) all_308_0_1898 = 0 % 217.68/150.10 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.68/150.10 | (430) all_165_2_96 = all_0_3_3 % 217.68/150.10 | % 217.68/150.10 | From (430) and (248) follows: % 217.68/150.10 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 217.68/150.10 | (526) all_181_0_100 = 0 % 217.68/150.10 | % 217.68/150.10 | Equations (526) can reduce 258 to: % 217.68/150.10 | (175) $false % 217.68/150.10 | % 217.68/150.10 |-The branch is then unsatisfiable % 217.68/150.10 |-Branch two: % 217.68/150.10 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 217.68/150.10 | % 217.68/150.10 | Applying alpha-rule on (6378) yields: % 217.68/150.10 | (6312) all_265_0_1234 = 0 % 217.68/150.10 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 217.68/150.10 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 217.68/150.10 | % 217.68/150.10 | Instantiating (473) with all_316_0_1910 yields: % 217.68/150.10 | (9855) (all_316_0_1910 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_316_0_1910 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 217.68/150.10 | % 217.68/150.10 +-Applying beta-rule and splitting (9125), into two cases. % 217.68/150.10 |-Branch one: % 217.68/150.10 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 217.68/150.10 | % 217.68/150.10 | Applying alpha-rule on (9285) yields: % 217.68/150.10 | (9286) all_273_0_1800 = 0 % 217.68/150.10 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 217.68/150.10 | (1720) all_110_1_81 = all_0_5_5 % 217.68/150.10 | % 217.68/150.10 | From (1720) and (211) follows: % 217.68/150.10 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.68/150.10 | (212) all_85_0_72 = 0 % 217.68/150.10 | % 217.68/150.10 | Equations (212) can reduce 183 to: % 217.68/150.10 | (175) $false % 217.68/150.10 | % 217.68/150.10 |-The branch is then unsatisfiable % 217.68/150.10 |-Branch two: % 217.68/150.10 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 217.68/150.10 | % 217.68/150.10 | Applying alpha-rule on (9292) yields: % 217.68/150.10 | (9286) all_273_0_1800 = 0 % 217.68/150.10 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 217.68/150.10 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 217.68/150.10 | % 217.68/150.10 | Instantiating (1850) with all_324_0_1911 yields: % 217.68/150.10 | (9867) (all_324_0_1911 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_1911 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 217.68/150.10 | % 217.68/150.10 +-Applying beta-rule and splitting (9773), into two cases. % 217.68/150.10 |-Branch one: % 217.68/150.10 | (9868) all_292_0_1896 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.68/150.10 | % 217.68/150.10 | Applying alpha-rule on (9868) yields: % 217.68/150.10 | (9869) all_292_0_1896 = 0 % 217.68/150.10 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.68/150.10 | (478) all_135_1_87 = all_0_5_5 % 217.68/150.10 | % 217.68/150.10 | From (478) and (241) follows: % 217.68/150.10 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.68/150.10 | (212) all_85_0_72 = 0 % 217.68/150.10 | % 217.68/150.10 | Equations (212) can reduce 183 to: % 217.68/150.10 | (175) $false % 217.68/150.10 | % 217.68/150.10 |-The branch is then unsatisfiable % 217.68/150.10 |-Branch two: % 217.68/150.10 | (9875) all_292_0_1896 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.68/150.10 | % 217.68/150.10 | Applying alpha-rule on (9875) yields: % 217.68/150.10 | (9869) all_292_0_1896 = 0 % 217.68/150.10 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.68/150.10 | % 217.68/150.10 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.68/150.10 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.68/150.10 | % 217.68/150.10 | Instantiating (608) with all_332_0_1912 yields: % 217.68/150.10 | (9879) (all_332_0_1912 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_1912 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.68/150.10 | % 217.68/150.10 +-Applying beta-rule and splitting (9855), into two cases. % 217.68/150.10 |-Branch one: % 217.68/150.10 | (9880) all_316_0_1910 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.68/150.10 | % 217.68/150.10 | Applying alpha-rule on (9880) yields: % 217.68/150.10 | (9881) all_316_0_1910 = 0 % 217.68/150.10 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.68/150.11 | (507) all_212_1_107 = all_0_5_5 % 217.68/150.11 | % 217.68/150.11 | From (507) and (312) follows: % 217.68/150.11 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.68/150.11 | (212) all_85_0_72 = 0 % 217.68/150.11 | % 217.68/150.11 | Equations (212) can reduce 183 to: % 217.68/150.11 | (175) $false % 217.68/150.11 | % 217.68/150.11 |-The branch is then unsatisfiable % 217.68/150.11 |-Branch two: % 217.68/150.11 | (9887) all_316_0_1910 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.68/150.11 | % 217.68/150.11 | Applying alpha-rule on (9887) yields: % 217.68/150.11 | (9881) all_316_0_1910 = 0 % 217.68/150.11 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.68/150.11 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.68/150.11 | % 217.68/150.11 | Instantiating (514) with all_368_0_1917 yields: % 217.68/150.11 | (9891) (all_368_0_1917 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_368_0_1917 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.68/150.11 | % 217.68/150.11 +-Applying beta-rule and splitting (9867), into two cases. % 217.68/150.11 |-Branch one: % 217.68/150.11 | (9892) all_324_0_1911 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.68/150.11 | % 217.68/150.11 | Applying alpha-rule on (9892) yields: % 217.68/150.11 | (9893) all_324_0_1911 = 0 % 217.68/150.11 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.68/150.11 | (1884) all_110_1_81 = all_0_6_6 % 217.68/150.11 | % 217.68/150.11 | From (1884) and (210) follows: % 217.68/150.11 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 217.68/150.11 | % 217.68/150.11 +-Applying beta-rule and splitting (9891), into two cases. % 217.68/150.11 |-Branch one: % 217.68/150.11 | (9897) all_368_0_1917 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.68/150.11 | % 217.68/150.11 | Applying alpha-rule on (9897) yields: % 217.68/150.11 | (9898) all_368_0_1917 = 0 % 217.68/150.11 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.68/150.11 | (524) all_212_1_107 = all_0_6_6 % 217.68/150.11 | % 217.68/150.11 | From (524) and (301) follows: % 217.68/150.11 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.68/150.11 | (233) all_110_0_80 = 0 % 217.68/150.11 | % 217.68/150.11 | Equations (233) can reduce 209 to: % 217.68/150.11 | (175) $false % 217.68/150.11 | % 217.68/150.11 |-The branch is then unsatisfiable % 217.68/150.11 |-Branch two: % 217.68/150.11 | (9904) all_368_0_1917 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.68/150.11 | % 217.68/150.11 | Applying alpha-rule on (9904) yields: % 217.68/150.11 | (9898) all_368_0_1917 = 0 % 217.68/150.11 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.68/150.11 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.68/150.11 | % 217.68/150.11 | Instantiating (531) with all_395_0_1919 yields: % 217.68/150.11 | (9908) (all_395_0_1919 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1919 = 0 & mem(all_212_1_107, e) = 0) % 217.68/150.11 | % 217.68/150.11 +-Applying beta-rule and splitting (9908), into two cases. % 217.68/150.11 |-Branch one: % 217.68/150.11 | (9909) all_395_0_1919 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.68/150.11 | % 217.68/150.11 | Applying alpha-rule on (9909) yields: % 217.68/150.11 | (9910) all_395_0_1919 = 0 % 217.68/150.11 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.68/150.11 | (536) all_212_1_107 = e % 217.68/150.11 | % 217.68/150.11 | From (536) and (6141) follows: % 217.68/150.11 | (6440) mem(all_244_1_1231, e) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.68/150.11 | (538) $false % 217.68/150.11 | % 217.68/150.11 |-The branch is then unsatisfiable % 217.68/150.11 |-Branch two: % 217.68/150.11 | (9915) all_395_0_1919 = 0 & mem(all_212_1_107, e) = 0 % 217.68/150.11 | % 217.68/150.11 | Applying alpha-rule on (9915) yields: % 217.68/150.11 | (9910) all_395_0_1919 = 0 % 217.68/150.11 | (541) mem(all_212_1_107, e) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.68/150.11 | (538) $false % 217.68/150.11 | % 217.68/150.11 |-The branch is then unsatisfiable % 217.68/150.11 |-Branch two: % 217.68/150.11 | (9919) all_324_0_1911 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 217.68/150.11 | % 217.68/150.11 | Applying alpha-rule on (9919) yields: % 217.68/150.11 | (9893) all_324_0_1911 = 0 % 217.68/150.11 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 217.68/150.11 | % 217.68/150.11 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 217.68/150.11 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 217.68/150.11 | % 217.68/150.11 | Instantiating (1911) with all_376_0_1920 yields: % 217.68/150.11 | (9923) (all_376_0_1920 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_376_0_1920 = 0 & mem(all_110_1_81, e) = 0) % 217.68/150.11 | % 217.68/150.12 +-Applying beta-rule and splitting (9879), into two cases. % 217.68/150.12 |-Branch one: % 217.68/150.12 | (9924) all_332_0_1912 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.68/150.12 | % 217.68/150.12 | Applying alpha-rule on (9924) yields: % 217.68/150.12 | (9925) all_332_0_1912 = 0 % 217.68/150.12 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.68/150.12 | (642) all_135_1_87 = all_0_6_6 % 217.68/150.12 | % 217.68/150.12 | From (642) and (231) follows: % 217.68/150.12 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.68/150.12 | % 217.68/150.12 +-Applying beta-rule and splitting (9891), into two cases. % 217.68/150.12 |-Branch one: % 217.68/150.12 | (9897) all_368_0_1917 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.68/150.12 | % 217.68/150.12 | Applying alpha-rule on (9897) yields: % 217.68/150.12 | (9898) all_368_0_1917 = 0 % 217.68/150.12 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.68/150.12 | (524) all_212_1_107 = all_0_6_6 % 217.68/150.12 | % 217.68/150.12 | From (524) and (286) follows: % 217.68/150.12 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.68/150.12 | (261) all_135_0_86 = 0 % 217.68/150.12 | % 217.68/150.12 | Equations (261) can reduce 230 to: % 217.68/150.12 | (175) $false % 217.68/150.12 | % 217.68/150.12 |-The branch is then unsatisfiable % 217.68/150.12 |-Branch two: % 217.68/150.12 | (9904) all_368_0_1917 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.68/150.12 | % 217.68/150.12 | Applying alpha-rule on (9904) yields: % 217.68/150.12 | (9898) all_368_0_1917 = 0 % 217.68/150.12 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.68/150.12 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.68/150.12 | % 217.68/150.12 | Instantiating (531) with all_395_0_1921 yields: % 217.68/150.12 | (9940) (all_395_0_1921 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_1921 = 0 & mem(all_212_1_107, e) = 0) % 217.68/150.12 | % 217.68/150.12 +-Applying beta-rule and splitting (9940), into two cases. % 217.68/150.12 |-Branch one: % 217.68/150.12 | (9941) all_395_0_1921 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.68/150.12 | % 217.68/150.12 | Applying alpha-rule on (9941) yields: % 217.68/150.12 | (9942) all_395_0_1921 = 0 % 217.68/150.12 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.68/150.12 | (536) all_212_1_107 = e % 217.68/150.12 | % 217.68/150.12 | From (536) and (6141) follows: % 217.68/150.12 | (6440) mem(all_244_1_1231, e) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.68/150.12 | (538) $false % 217.68/150.12 | % 217.68/150.12 |-The branch is then unsatisfiable % 217.68/150.12 |-Branch two: % 217.68/150.12 | (9947) all_395_0_1921 = 0 & mem(all_212_1_107, e) = 0 % 217.68/150.12 | % 217.68/150.12 | Applying alpha-rule on (9947) yields: % 217.68/150.12 | (9942) all_395_0_1921 = 0 % 217.68/150.12 | (541) mem(all_212_1_107, e) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.68/150.12 | (538) $false % 217.68/150.12 | % 217.68/150.12 |-The branch is then unsatisfiable % 217.68/150.12 |-Branch two: % 217.68/150.12 | (9951) all_332_0_1912 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.68/150.12 | % 217.68/150.12 | Applying alpha-rule on (9951) yields: % 217.68/150.12 | (9925) all_332_0_1912 = 0 % 217.68/150.12 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.68/150.12 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.68/150.12 | % 217.68/150.12 | Instantiating (669) with all_384_0_1922 yields: % 217.68/150.12 | (9955) (all_384_0_1922 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_384_0_1922 = 0 & mem(all_135_1_87, e) = 0) % 217.68/150.12 | % 217.68/150.12 +-Applying beta-rule and splitting (9923), into two cases. % 217.68/150.12 |-Branch one: % 217.68/150.12 | (9956) all_376_0_1920 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.68/150.12 | % 217.68/150.12 | Applying alpha-rule on (9956) yields: % 217.68/150.12 | (9957) all_376_0_1920 = 0 % 217.68/150.12 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.68/150.12 | % 217.68/150.12 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.68/150.12 | (1953) all_110_1_81 = e % 217.68/150.12 | % 217.68/150.12 | From (1953) and (210) follows: % 217.68/150.12 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.68/150.12 | % 217.68/150.12 +-Applying beta-rule and splitting (9955), into two cases. % 217.68/150.12 |-Branch one: % 217.68/150.12 | (9961) all_384_0_1922 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.68/150.12 | % 217.68/150.12 | Applying alpha-rule on (9961) yields: % 217.68/150.13 | (9962) all_384_0_1922 = 0 % 217.68/150.13 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.68/150.13 | % 217.68/150.13 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.68/150.13 | (711) all_135_1_87 = e % 217.68/150.13 | % 217.68/150.13 | From (711) and (232) follows: % 217.68/150.13 | (1959) mem(e, all_74_1_69) = 0 % 217.68/150.13 | % 217.68/150.13 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.68/150.13 | (233) all_110_0_80 = 0 % 217.68/150.13 | % 217.68/150.13 | Equations (233) can reduce 209 to: % 217.68/150.13 | (175) $false % 217.68/150.13 | % 217.68/150.13 |-The branch is then unsatisfiable % 217.68/150.13 |-Branch two: % 217.74/150.13 | (9968) all_384_0_1922 = 0 & mem(all_135_1_87, e) = 0 % 217.74/150.13 | % 217.74/150.13 | Applying alpha-rule on (9968) yields: % 217.74/150.13 | (9962) all_384_0_1922 = 0 % 217.74/150.13 | (726) mem(all_135_1_87, e) = 0 % 217.74/150.13 | % 217.74/150.13 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.74/150.13 | (538) $false % 217.74/150.13 | % 217.74/150.13 |-The branch is then unsatisfiable % 217.74/150.13 |-Branch two: % 217.74/150.13 | (9972) all_376_0_1920 = 0 & mem(all_110_1_81, e) = 0 % 217.74/150.13 | % 217.74/150.13 | Applying alpha-rule on (9972) yields: % 217.74/150.13 | (9957) all_376_0_1920 = 0 % 217.74/150.13 | (1968) mem(all_110_1_81, e) = 0 % 217.74/150.13 | % 217.74/150.13 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.74/150.13 | (538) $false % 217.74/150.13 | % 217.74/150.13 |-The branch is then unsatisfiable % 217.74/150.13 |-Branch two: % 217.74/150.13 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 217.74/150.13 | % 217.74/150.13 | Applying alpha-rule on (6306) yields: % 217.74/150.13 | (6240) all_259_0_1233 = 0 % 217.74/150.13 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 217.74/150.13 | % 217.74/150.13 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 217.74/150.13 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 217.74/150.13 | % 217.74/150.13 | Instantiating (437) with all_308_0_1930 yields: % 217.74/150.13 | (9980) (all_308_0_1930 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_308_0_1930 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 217.74/150.13 | % 217.74/150.13 +-Applying beta-rule and splitting (9125), into two cases. % 217.74/150.13 |-Branch one: % 217.74/150.13 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 217.74/150.13 | % 217.74/150.13 | Applying alpha-rule on (9285) yields: % 217.74/150.13 | (9286) all_273_0_1800 = 0 % 217.74/150.13 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 217.74/150.13 | % 217.74/150.13 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 217.74/150.13 | (1720) all_110_1_81 = all_0_5_5 % 217.74/150.13 | % 217.74/150.13 | From (1720) and (211) follows: % 217.74/150.13 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.74/150.13 | % 217.74/150.13 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.74/150.13 | (212) all_85_0_72 = 0 % 217.74/150.13 | % 217.74/150.13 | Equations (212) can reduce 183 to: % 217.74/150.13 | (175) $false % 217.74/150.13 | % 217.74/150.13 |-The branch is then unsatisfiable % 217.74/150.13 |-Branch two: % 217.74/150.13 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 217.74/150.13 | % 217.74/150.13 | Applying alpha-rule on (9292) yields: % 217.74/150.13 | (9286) all_273_0_1800 = 0 % 217.74/150.13 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 217.74/150.13 | % 217.74/150.13 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 217.74/150.13 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 217.74/150.13 | % 217.74/150.13 | Instantiating (1850) with all_324_0_1932 yields: % 217.74/150.13 | (9992) (all_324_0_1932 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_1932 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 217.74/150.13 | % 217.74/150.13 +-Applying beta-rule and splitting (9773), into two cases. % 217.74/150.13 |-Branch one: % 217.74/150.13 | (9868) all_292_0_1896 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.74/150.13 | % 217.74/150.13 | Applying alpha-rule on (9868) yields: % 217.74/150.13 | (9869) all_292_0_1896 = 0 % 217.74/150.13 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.74/150.13 | % 217.74/150.13 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.74/150.13 | (478) all_135_1_87 = all_0_5_5 % 217.74/150.13 | % 217.74/150.13 | From (478) and (241) follows: % 217.74/150.14 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.74/150.14 | (212) all_85_0_72 = 0 % 217.74/150.14 | % 217.74/150.14 | Equations (212) can reduce 183 to: % 217.74/150.14 | (175) $false % 217.74/150.14 | % 217.74/150.14 |-The branch is then unsatisfiable % 217.74/150.14 |-Branch two: % 217.74/150.14 | (9875) all_292_0_1896 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.74/150.14 | % 217.74/150.14 | Applying alpha-rule on (9875) yields: % 217.74/150.14 | (9869) all_292_0_1896 = 0 % 217.74/150.14 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.74/150.14 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.74/150.14 | % 217.74/150.14 | Instantiating (608) with all_332_0_1933 yields: % 217.74/150.14 | (10004) (all_332_0_1933 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_1933 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.74/150.14 | % 217.74/150.14 +-Applying beta-rule and splitting (9980), into two cases. % 217.74/150.14 |-Branch one: % 217.74/150.14 | (10005) all_308_0_1930 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.74/150.14 | % 217.74/150.14 | Applying alpha-rule on (10005) yields: % 217.74/150.14 | (10006) all_308_0_1930 = 0 % 217.74/150.14 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.74/150.14 | (495) all_165_2_96 = all_0_5_5 % 217.74/150.14 | % 217.74/150.14 | From (495) and (303) follows: % 217.74/150.14 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.74/150.14 | (212) all_85_0_72 = 0 % 217.74/150.14 | % 217.74/150.14 | Equations (212) can reduce 183 to: % 217.74/150.14 | (175) $false % 217.74/150.14 | % 217.74/150.14 |-The branch is then unsatisfiable % 217.74/150.14 |-Branch two: % 217.74/150.14 | (10012) all_308_0_1930 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.74/150.14 | % 217.74/150.14 | Applying alpha-rule on (10012) yields: % 217.74/150.14 | (10006) all_308_0_1930 = 0 % 217.74/150.14 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.74/150.14 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.74/150.14 | % 217.74/150.14 | Instantiating (502) with all_351_0_1934 yields: % 217.74/150.14 | (10016) (all_351_0_1934 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_351_0_1934 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.74/150.14 | % 217.74/150.14 +-Applying beta-rule and splitting (9992), into two cases. % 217.74/150.14 |-Branch one: % 217.74/150.14 | (10017) all_324_0_1932 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.74/150.14 | % 217.74/150.14 | Applying alpha-rule on (10017) yields: % 217.74/150.14 | (10018) all_324_0_1932 = 0 % 217.74/150.14 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.74/150.14 | (1884) all_110_1_81 = all_0_6_6 % 217.74/150.14 | % 217.74/150.14 | From (1884) and (210) follows: % 217.74/150.14 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 217.74/150.14 | % 217.74/150.14 +-Applying beta-rule and splitting (10004), into two cases. % 217.74/150.14 |-Branch one: % 217.74/150.14 | (10022) all_332_0_1933 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.74/150.14 | % 217.74/150.14 | Applying alpha-rule on (10022) yields: % 217.74/150.14 | (10023) all_332_0_1933 = 0 % 217.74/150.14 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.74/150.14 | (642) all_135_1_87 = all_0_6_6 % 217.74/150.14 | % 217.74/150.14 | From (642) and (232) follows: % 217.74/150.14 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.74/150.14 | (233) all_110_0_80 = 0 % 217.74/150.14 | % 217.74/150.14 | Equations (233) can reduce 209 to: % 217.74/150.14 | (175) $false % 217.74/150.14 | % 217.74/150.14 |-The branch is then unsatisfiable % 217.74/150.14 |-Branch two: % 217.74/150.14 | (10029) all_332_0_1933 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.74/150.14 | % 217.74/150.14 | Applying alpha-rule on (10029) yields: % 217.74/150.14 | (10023) all_332_0_1933 = 0 % 217.74/150.14 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.74/150.14 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.74/150.14 | % 217.74/150.14 | Instantiating (669) with all_395_0_1937 yields: % 217.74/150.14 | (10033) (all_395_0_1937 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_395_0_1937 = 0 & mem(all_135_1_87, e) = 0) % 217.74/150.14 | % 217.74/150.14 +-Applying beta-rule and splitting (10016), into two cases. % 217.74/150.14 |-Branch one: % 217.74/150.14 | (10034) all_351_0_1934 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.74/150.14 | % 217.74/150.14 | Applying alpha-rule on (10034) yields: % 217.74/150.14 | (10035) all_351_0_1934 = 0 % 217.74/150.14 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.74/150.14 | (551) all_165_2_96 = all_0_6_6 % 217.74/150.14 | % 217.74/150.14 | From (551) and (288) follows: % 217.74/150.14 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.74/150.14 | % 217.74/150.14 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.74/150.14 | (233) all_110_0_80 = 0 % 217.74/150.14 | % 217.74/150.14 | Equations (233) can reduce 209 to: % 217.74/150.14 | (175) $false % 217.74/150.14 | % 217.74/150.14 |-The branch is then unsatisfiable % 217.74/150.14 |-Branch two: % 217.74/150.14 | (10041) all_351_0_1934 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.74/150.14 | % 217.74/150.14 | Applying alpha-rule on (10041) yields: % 217.74/150.14 | (10035) all_351_0_1934 = 0 % 217.74/150.15 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.74/150.15 | % 217.74/150.15 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.74/150.15 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.74/150.15 | % 217.74/150.15 | Instantiating (583) with all_403_0_1938 yields: % 217.74/150.15 | (10045) (all_403_0_1938 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_403_0_1938 = 0 & mem(all_165_2_96, e) = 0) % 217.74/150.15 | % 217.74/150.15 +-Applying beta-rule and splitting (10033), into two cases. % 217.74/150.15 |-Branch one: % 217.74/150.15 | (10046) all_395_0_1937 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.74/150.15 | % 217.74/150.15 | Applying alpha-rule on (10046) yields: % 217.74/150.15 | (10047) all_395_0_1937 = 0 % 217.74/150.15 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.74/150.15 | % 217.74/150.15 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.74/150.15 | (711) all_135_1_87 = e % 217.74/150.15 | % 217.74/150.15 | From (711) and (231) follows: % 217.74/150.15 | (712) mem(e, all_99_1_77) = all_135_0_86 % 217.74/150.15 | % 217.74/150.15 +-Applying beta-rule and splitting (10045), into two cases. % 217.74/150.15 |-Branch one: % 217.74/150.15 | (10051) all_403_0_1938 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.74/150.15 | % 217.74/150.15 | Applying alpha-rule on (10051) yields: % 217.74/150.15 | (10052) all_403_0_1938 = 0 % 217.74/150.15 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.74/150.15 | % 217.74/150.15 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.74/150.15 | (593) all_165_2_96 = e % 217.74/150.15 | % 217.74/150.15 | From (593) and (268) follows: % 217.74/150.15 | (717) mem(e, all_99_1_77) = 0 % 217.74/150.15 | % 217.74/150.15 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 217.74/150.15 | (261) all_135_0_86 = 0 % 217.74/150.15 | % 217.74/150.15 | Equations (261) can reduce 230 to: % 217.74/150.15 | (175) $false % 217.74/150.15 | % 217.74/150.15 |-The branch is then unsatisfiable % 217.74/150.15 |-Branch two: % 217.74/150.15 | (10058) all_403_0_1938 = 0 & mem(all_165_2_96, e) = 0 % 217.74/150.15 | % 217.74/150.15 | Applying alpha-rule on (10058) yields: % 217.74/150.15 | (10052) all_403_0_1938 = 0 % 217.74/150.15 | (599) mem(all_165_2_96, e) = 0 % 217.74/150.15 | % 217.74/150.15 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.74/150.15 | (538) $false % 217.74/150.15 | % 217.74/150.15 |-The branch is then unsatisfiable % 217.74/150.15 |-Branch two: % 217.74/150.15 | (10062) all_395_0_1937 = 0 & mem(all_135_1_87, e) = 0 % 217.74/150.15 | % 217.74/150.15 | Applying alpha-rule on (10062) yields: % 217.74/150.15 | (10047) all_395_0_1937 = 0 % 217.74/150.15 | (726) mem(all_135_1_87, e) = 0 % 217.74/150.15 | % 217.74/150.15 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.74/150.15 | (538) $false % 217.74/150.15 | % 217.74/150.15 |-The branch is then unsatisfiable % 217.74/150.15 |-Branch two: % 217.74/150.15 | (10066) all_324_0_1932 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 217.74/150.15 | % 217.74/150.15 | Applying alpha-rule on (10066) yields: % 217.74/150.15 | (10018) all_324_0_1932 = 0 % 217.74/150.15 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 217.74/150.15 | % 217.74/150.15 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 217.74/150.15 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 217.74/150.15 | % 217.74/150.15 | Instantiating (1911) with all_388_0_1941 yields: % 217.74/150.15 | (10070) (all_388_0_1941 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_388_0_1941 = 0 & mem(all_110_1_81, e) = 0) % 217.74/150.15 | % 217.74/150.15 +-Applying beta-rule and splitting (10004), into two cases. % 217.74/150.15 |-Branch one: % 217.74/150.15 | (10022) all_332_0_1933 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.74/150.15 | % 217.74/150.15 | Applying alpha-rule on (10022) yields: % 217.74/150.15 | (10023) all_332_0_1933 = 0 % 217.74/150.15 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.74/150.15 | % 217.74/150.15 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.74/150.15 | (642) all_135_1_87 = all_0_6_6 % 217.74/150.15 | % 217.74/150.15 | From (642) and (231) follows: % 217.74/150.15 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.74/150.15 | % 217.74/150.15 +-Applying beta-rule and splitting (10016), into two cases. % 217.74/150.15 |-Branch one: % 217.74/150.15 | (10034) all_351_0_1934 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.74/150.15 | % 217.77/150.15 | Applying alpha-rule on (10034) yields: % 217.77/150.15 | (10035) all_351_0_1934 = 0 % 217.77/150.15 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.77/150.15 | % 217.77/150.15 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.77/150.15 | (551) all_165_2_96 = all_0_6_6 % 217.77/150.15 | % 217.77/150.15 | From (551) and (268) follows: % 217.77/150.15 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.77/150.15 | % 217.77/150.15 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.77/150.15 | (261) all_135_0_86 = 0 % 217.77/150.15 | % 217.77/150.15 | Equations (261) can reduce 230 to: % 217.77/150.15 | (175) $false % 217.77/150.15 | % 217.77/150.15 |-The branch is then unsatisfiable % 217.77/150.15 |-Branch two: % 217.77/150.16 | (10041) all_351_0_1934 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.77/150.16 | % 217.77/150.16 | Applying alpha-rule on (10041) yields: % 217.77/150.16 | (10035) all_351_0_1934 = 0 % 217.77/150.16 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.77/150.16 | % 217.77/150.16 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.77/150.16 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.77/150.16 | % 217.77/150.16 | Instantiating (583) with all_407_0_1942 yields: % 217.77/150.16 | (10087) (all_407_0_1942 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_1942 = 0 & mem(all_165_2_96, e) = 0) % 217.77/150.16 | % 217.77/150.16 +-Applying beta-rule and splitting (10070), into two cases. % 217.77/150.16 |-Branch one: % 217.77/150.16 | (10088) all_388_0_1941 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.77/150.16 | % 217.77/150.16 | Applying alpha-rule on (10088) yields: % 217.77/150.16 | (10089) all_388_0_1941 = 0 % 217.77/150.16 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.77/150.16 | % 217.77/150.16 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.77/150.16 | (1953) all_110_1_81 = e % 217.77/150.16 | % 217.77/150.16 | From (1953) and (210) follows: % 217.77/150.16 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.77/150.16 | % 217.77/150.16 +-Applying beta-rule and splitting (10087), into two cases. % 217.77/150.16 |-Branch one: % 217.77/150.16 | (10093) all_407_0_1942 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.77/150.16 | % 217.77/150.16 | Applying alpha-rule on (10093) yields: % 217.77/150.16 | (10094) all_407_0_1942 = 0 % 217.77/150.16 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.77/150.16 | % 217.77/150.16 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.77/150.16 | (593) all_165_2_96 = e % 217.77/150.16 | % 217.77/150.16 | From (593) and (288) follows: % 217.77/150.16 | (1959) mem(e, all_74_1_69) = 0 % 217.77/150.16 | % 217.77/150.16 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.77/150.16 | (233) all_110_0_80 = 0 % 217.77/150.16 | % 217.77/150.16 | Equations (233) can reduce 209 to: % 217.77/150.16 | (175) $false % 217.77/150.16 | % 217.77/150.16 |-The branch is then unsatisfiable % 217.77/150.16 |-Branch two: % 217.77/150.16 | (10100) all_407_0_1942 = 0 & mem(all_165_2_96, e) = 0 % 217.77/150.16 | % 217.77/150.16 | Applying alpha-rule on (10100) yields: % 217.77/150.16 | (10094) all_407_0_1942 = 0 % 217.77/150.16 | (599) mem(all_165_2_96, e) = 0 % 217.77/150.16 | % 217.77/150.16 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.77/150.16 | (538) $false % 217.77/150.16 | % 217.77/150.16 |-The branch is then unsatisfiable % 217.77/150.16 |-Branch two: % 217.77/150.16 | (10104) all_388_0_1941 = 0 & mem(all_110_1_81, e) = 0 % 217.77/150.16 | % 217.77/150.16 | Applying alpha-rule on (10104) yields: % 217.77/150.16 | (10089) all_388_0_1941 = 0 % 217.77/150.16 | (1968) mem(all_110_1_81, e) = 0 % 217.77/150.16 | % 217.77/150.16 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.77/150.16 | (538) $false % 217.77/150.16 | % 217.77/150.16 |-The branch is then unsatisfiable % 217.77/150.16 |-Branch two: % 217.77/150.16 | (10029) all_332_0_1933 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.77/150.16 | % 217.77/150.16 | Applying alpha-rule on (10029) yields: % 217.77/150.16 | (10023) all_332_0_1933 = 0 % 217.77/150.16 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.77/150.16 | % 217.77/150.16 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.77/150.16 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.77/150.16 | % 217.77/150.16 | Instantiating (669) with all_396_0_1943 yields: % 217.77/150.16 | (10112) (all_396_0_1943 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_396_0_1943 = 0 & mem(all_135_1_87, e) = 0) % 217.77/150.16 | % 217.77/150.16 +-Applying beta-rule and splitting (10070), into two cases. % 217.77/150.16 |-Branch one: % 217.77/150.16 | (10088) all_388_0_1941 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.77/150.16 | % 217.77/150.16 | Applying alpha-rule on (10088) yields: % 217.77/150.16 | (10089) all_388_0_1941 = 0 % 217.77/150.16 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.77/150.16 | % 217.77/150.16 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.77/150.16 | (1953) all_110_1_81 = e % 217.77/150.16 | % 217.77/150.16 | From (1953) and (210) follows: % 217.77/150.16 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.77/150.16 | % 217.77/150.16 +-Applying beta-rule and splitting (10112), into two cases. % 217.77/150.16 |-Branch one: % 217.77/150.16 | (10118) all_396_0_1943 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.77/150.16 | % 217.77/150.17 | Applying alpha-rule on (10118) yields: % 217.77/150.17 | (10119) all_396_0_1943 = 0 % 217.77/150.17 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.77/150.17 | (711) all_135_1_87 = e % 217.77/150.17 | % 217.77/150.17 | From (711) and (232) follows: % 217.77/150.17 | (1959) mem(e, all_74_1_69) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.77/150.17 | (233) all_110_0_80 = 0 % 217.77/150.17 | % 217.77/150.17 | Equations (233) can reduce 209 to: % 217.77/150.17 | (175) $false % 217.77/150.17 | % 217.77/150.17 |-The branch is then unsatisfiable % 217.77/150.17 |-Branch two: % 217.77/150.17 | (10125) all_396_0_1943 = 0 & mem(all_135_1_87, e) = 0 % 217.77/150.17 | % 217.77/150.17 | Applying alpha-rule on (10125) yields: % 217.77/150.17 | (10119) all_396_0_1943 = 0 % 217.77/150.17 | (726) mem(all_135_1_87, e) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.77/150.17 | (538) $false % 217.77/150.17 | % 217.77/150.17 |-The branch is then unsatisfiable % 217.77/150.17 |-Branch two: % 217.77/150.17 | (10104) all_388_0_1941 = 0 & mem(all_110_1_81, e) = 0 % 217.77/150.17 | % 217.77/150.17 | Applying alpha-rule on (10104) yields: % 217.77/150.17 | (10089) all_388_0_1941 = 0 % 217.77/150.17 | (1968) mem(all_110_1_81, e) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.77/150.17 | (538) $false % 217.77/150.17 | % 217.77/150.17 |-The branch is then unsatisfiable % 217.77/150.17 |-Branch two: % 217.77/150.17 | (6234) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 217.77/150.17 | % 217.77/150.17 | Applying alpha-rule on (6234) yields: % 217.77/150.17 | (6168) all_252_0_1232 = 0 % 217.77/150.17 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 217.77/150.17 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 217.77/150.17 | % 217.77/150.17 | Instantiating (401) with all_300_0_1952 yields: % 217.77/150.17 | (10137) (all_300_0_1952 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_300_0_1952 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 217.77/150.17 | % 217.77/150.17 +-Applying beta-rule and splitting (9125), into two cases. % 217.77/150.17 |-Branch one: % 217.77/150.17 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 217.77/150.17 | % 217.77/150.17 | Applying alpha-rule on (9285) yields: % 217.77/150.17 | (9286) all_273_0_1800 = 0 % 217.77/150.17 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 217.77/150.17 | (1720) all_110_1_81 = all_0_5_5 % 217.77/150.17 | % 217.77/150.17 | From (1720) and (211) follows: % 217.77/150.17 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.77/150.17 | (212) all_85_0_72 = 0 % 217.77/150.17 | % 217.77/150.17 | Equations (212) can reduce 183 to: % 217.77/150.17 | (175) $false % 217.77/150.17 | % 217.77/150.17 |-The branch is then unsatisfiable % 217.77/150.17 |-Branch two: % 217.77/150.17 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 217.77/150.17 | % 217.77/150.17 | Applying alpha-rule on (9292) yields: % 217.77/150.17 | (9286) all_273_0_1800 = 0 % 217.77/150.17 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 217.77/150.17 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 217.77/150.17 | % 217.77/150.17 | Instantiating (1850) with all_324_0_1955 yields: % 217.77/150.17 | (10149) (all_324_0_1955 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_324_0_1955 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 217.77/150.17 | % 217.77/150.17 +-Applying beta-rule and splitting (9773), into two cases. % 217.77/150.17 |-Branch one: % 217.77/150.17 | (9868) all_292_0_1896 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 217.77/150.17 | % 217.77/150.17 | Applying alpha-rule on (9868) yields: % 217.77/150.17 | (9869) all_292_0_1896 = 0 % 217.77/150.17 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 217.77/150.17 | % 217.77/150.17 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 217.77/150.18 | (478) all_135_1_87 = all_0_5_5 % 217.77/150.18 | % 217.77/150.18 | From (478) and (241) follows: % 217.77/150.18 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.77/150.18 | (212) all_85_0_72 = 0 % 217.77/150.18 | % 217.77/150.18 | Equations (212) can reduce 183 to: % 217.77/150.18 | (175) $false % 217.77/150.18 | % 217.77/150.18 |-The branch is then unsatisfiable % 217.77/150.18 |-Branch two: % 217.77/150.18 | (9875) all_292_0_1896 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 217.77/150.18 | % 217.77/150.18 | Applying alpha-rule on (9875) yields: % 217.77/150.18 | (9869) all_292_0_1896 = 0 % 217.77/150.18 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 217.77/150.18 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 217.77/150.18 | % 217.77/150.18 | Instantiating (608) with all_332_0_1956 yields: % 217.77/150.18 | (10161) (all_332_0_1956 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_332_0_1956 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 217.77/150.18 | % 217.77/150.18 +-Applying beta-rule and splitting (10137), into two cases. % 217.77/150.18 |-Branch one: % 217.77/150.18 | (10162) all_300_0_1952 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 217.77/150.18 | % 217.77/150.18 | Applying alpha-rule on (10162) yields: % 217.77/150.18 | (10163) all_300_0_1952 = 0 % 217.77/150.18 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 217.77/150.18 | (483) all_181_1_101 = all_0_5_5 % 217.77/150.18 | % 217.77/150.18 | From (483) and (287) follows: % 217.77/150.18 | (6387) mem(all_0_5_5, all_57_1_62) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (65) with all_0_5_5, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_5_5, all_57_1_62) = all_85_0_72, mem(all_0_5_5, all_57_1_62) = 0, yields: % 217.77/150.18 | (212) all_85_0_72 = 0 % 217.77/150.18 | % 217.77/150.18 | Equations (212) can reduce 183 to: % 217.77/150.18 | (175) $false % 217.77/150.18 | % 217.77/150.18 |-The branch is then unsatisfiable % 217.77/150.18 |-Branch two: % 217.77/150.18 | (10169) all_300_0_1952 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 217.77/150.18 | % 217.77/150.18 | Applying alpha-rule on (10169) yields: % 217.77/150.18 | (10163) all_300_0_1952 = 0 % 217.77/150.18 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 217.77/150.18 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 217.77/150.18 | % 217.77/150.18 | Instantiating (490) with all_340_0_1957 yields: % 217.77/150.18 | (10173) (all_340_0_1957 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_340_0_1957 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 217.77/150.18 | % 217.77/150.18 +-Applying beta-rule and splitting (10149), into two cases. % 217.77/150.18 |-Branch one: % 217.77/150.18 | (10174) all_324_0_1955 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.77/150.18 | % 217.77/150.18 | Applying alpha-rule on (10174) yields: % 217.77/150.18 | (10175) all_324_0_1955 = 0 % 217.77/150.18 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.77/150.18 | (1884) all_110_1_81 = all_0_6_6 % 217.77/150.18 | % 217.77/150.18 | From (1884) and (210) follows: % 217.77/150.18 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 217.77/150.18 | % 217.77/150.18 +-Applying beta-rule and splitting (10161), into two cases. % 217.77/150.18 |-Branch one: % 217.77/150.18 | (10179) all_332_0_1956 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.77/150.18 | % 217.77/150.18 | Applying alpha-rule on (10179) yields: % 217.77/150.18 | (10180) all_332_0_1956 = 0 % 217.77/150.18 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.77/150.18 | (642) all_135_1_87 = all_0_6_6 % 217.77/150.18 | % 217.77/150.18 | From (642) and (232) follows: % 217.77/150.18 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.77/150.18 | (233) all_110_0_80 = 0 % 217.77/150.18 | % 217.77/150.18 | Equations (233) can reduce 209 to: % 217.77/150.18 | (175) $false % 217.77/150.18 | % 217.77/150.18 |-The branch is then unsatisfiable % 217.77/150.18 |-Branch two: % 217.77/150.18 | (10186) all_332_0_1956 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.77/150.18 | % 217.77/150.18 | Applying alpha-rule on (10186) yields: % 217.77/150.18 | (10180) all_332_0_1956 = 0 % 217.77/150.18 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.77/150.18 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.77/150.18 | % 217.77/150.18 | Instantiating (669) with all_405_0_1964 yields: % 217.77/150.18 | (10190) (all_405_0_1964 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_405_0_1964 = 0 & mem(all_135_1_87, e) = 0) % 217.77/150.18 | % 217.77/150.18 +-Applying beta-rule and splitting (10173), into two cases. % 217.77/150.18 |-Branch one: % 217.77/150.18 | (10191) all_340_0_1957 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.77/150.18 | % 217.77/150.18 | Applying alpha-rule on (10191) yields: % 217.77/150.18 | (10192) all_340_0_1957 = 0 % 217.77/150.18 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.77/150.18 | (519) all_181_1_101 = all_0_6_6 % 217.77/150.18 | % 217.77/150.18 | From (519) and (267) follows: % 217.77/150.18 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.77/150.18 | % 217.77/150.18 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.77/150.18 | (233) all_110_0_80 = 0 % 217.77/150.18 | % 217.77/150.18 | Equations (233) can reduce 209 to: % 217.77/150.18 | (175) $false % 217.77/150.18 | % 217.77/150.18 |-The branch is then unsatisfiable % 217.77/150.18 |-Branch two: % 217.77/150.18 | (10198) all_340_0_1957 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.77/150.18 | % 217.77/150.19 | Applying alpha-rule on (10198) yields: % 217.77/150.19 | (10192) all_340_0_1957 = 0 % 217.77/150.19 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.77/150.19 | % 217.77/150.19 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.77/150.19 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.77/150.19 | % 217.77/150.19 | Instantiating (546) with all_413_0_1965 yields: % 217.77/150.19 | (10202) (all_413_0_1965 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_413_0_1965 = 0 & mem(all_181_1_101, e) = 0) % 217.77/150.19 | % 217.77/150.19 +-Applying beta-rule and splitting (10190), into two cases. % 217.77/150.19 |-Branch one: % 217.77/150.19 | (10203) all_405_0_1964 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.77/150.19 | % 217.77/150.19 | Applying alpha-rule on (10203) yields: % 217.77/150.19 | (10204) all_405_0_1964 = 0 % 217.77/150.19 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.77/150.19 | % 217.77/150.19 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.77/150.19 | (711) all_135_1_87 = e % 217.77/150.19 | % 217.77/150.19 | From (711) and (231) follows: % 217.77/150.19 | (712) mem(e, all_99_1_77) = all_135_0_86 % 217.77/150.19 | % 217.77/150.19 +-Applying beta-rule and splitting (10202), into two cases. % 217.77/150.19 |-Branch one: % 217.77/150.19 | (10208) all_413_0_1965 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.77/150.19 | % 217.77/150.19 | Applying alpha-rule on (10208) yields: % 217.77/150.19 | (10209) all_413_0_1965 = 0 % 217.77/150.19 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.77/150.19 | % 217.77/150.19 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.77/150.19 | (588) all_181_1_101 = e % 217.77/150.19 | % 217.77/150.19 | From (588) and (260) follows: % 217.77/150.19 | (717) mem(e, all_99_1_77) = 0 % 217.77/150.19 | % 217.77/150.19 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 217.77/150.19 | (261) all_135_0_86 = 0 % 217.77/150.19 | % 217.77/150.19 | Equations (261) can reduce 230 to: % 217.77/150.19 | (175) $false % 217.77/150.19 | % 217.77/150.19 |-The branch is then unsatisfiable % 217.77/150.19 |-Branch two: % 217.77/150.19 | (10215) all_413_0_1965 = 0 & mem(all_181_1_101, e) = 0 % 217.77/150.19 | % 217.77/150.19 | Applying alpha-rule on (10215) yields: % 217.77/150.19 | (10209) all_413_0_1965 = 0 % 217.77/150.19 | (603) mem(all_181_1_101, e) = 0 % 217.77/150.19 | % 217.77/150.19 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.77/150.19 | (538) $false % 217.77/150.19 | % 217.77/150.19 |-The branch is then unsatisfiable % 217.77/150.19 |-Branch two: % 217.77/150.19 | (10219) all_405_0_1964 = 0 & mem(all_135_1_87, e) = 0 % 217.77/150.19 | % 217.77/150.19 | Applying alpha-rule on (10219) yields: % 217.77/150.19 | (10204) all_405_0_1964 = 0 % 217.77/150.19 | (726) mem(all_135_1_87, e) = 0 % 217.77/150.19 | % 217.77/150.19 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.77/150.19 | (538) $false % 217.77/150.19 | % 217.77/150.19 |-The branch is then unsatisfiable % 217.77/150.19 |-Branch two: % 217.77/150.19 | (10223) all_324_0_1955 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 217.77/150.19 | % 217.77/150.19 | Applying alpha-rule on (10223) yields: % 217.77/150.19 | (10175) all_324_0_1955 = 0 % 217.77/150.19 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 217.77/150.19 | % 217.77/150.19 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 217.77/150.19 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 217.77/150.19 | % 217.77/150.19 | Instantiating (1911) with all_398_0_1968 yields: % 217.77/150.19 | (10227) (all_398_0_1968 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_398_0_1968 = 0 & mem(all_110_1_81, e) = 0) % 217.77/150.19 | % 217.77/150.19 +-Applying beta-rule and splitting (10161), into two cases. % 217.77/150.19 |-Branch one: % 217.77/150.19 | (10179) all_332_0_1956 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 217.77/150.19 | % 217.77/150.19 | Applying alpha-rule on (10179) yields: % 217.77/150.19 | (10180) all_332_0_1956 = 0 % 217.77/150.19 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 217.77/150.19 | % 217.77/150.19 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 217.77/150.19 | (642) all_135_1_87 = all_0_6_6 % 217.77/150.19 | % 217.77/150.19 | From (642) and (231) follows: % 217.77/150.19 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 217.77/150.19 | % 217.77/150.19 +-Applying beta-rule and splitting (10173), into two cases. % 217.77/150.19 |-Branch one: % 217.77/150.19 | (10191) all_340_0_1957 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 217.77/150.19 | % 217.77/150.19 | Applying alpha-rule on (10191) yields: % 217.77/150.20 | (10192) all_340_0_1957 = 0 % 217.77/150.20 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 217.77/150.20 | (519) all_181_1_101 = all_0_6_6 % 217.77/150.20 | % 217.77/150.20 | From (519) and (260) follows: % 217.77/150.20 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 217.77/150.20 | (261) all_135_0_86 = 0 % 217.77/150.20 | % 217.77/150.20 | Equations (261) can reduce 230 to: % 217.77/150.20 | (175) $false % 217.77/150.20 | % 217.77/150.20 |-The branch is then unsatisfiable % 217.77/150.20 |-Branch two: % 217.77/150.20 | (10198) all_340_0_1957 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 217.77/150.20 | % 217.77/150.20 | Applying alpha-rule on (10198) yields: % 217.77/150.20 | (10192) all_340_0_1957 = 0 % 217.77/150.20 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 217.77/150.20 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 217.77/150.20 | % 217.77/150.20 | Instantiating (546) with all_417_0_1969 yields: % 217.77/150.20 | (10244) (all_417_0_1969 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_417_0_1969 = 0 & mem(all_181_1_101, e) = 0) % 217.77/150.20 | % 217.77/150.20 +-Applying beta-rule and splitting (10227), into two cases. % 217.77/150.20 |-Branch one: % 217.77/150.20 | (10245) all_398_0_1968 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.77/150.20 | % 217.77/150.20 | Applying alpha-rule on (10245) yields: % 217.77/150.20 | (10246) all_398_0_1968 = 0 % 217.77/150.20 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.77/150.20 | (1953) all_110_1_81 = e % 217.77/150.20 | % 217.77/150.20 | From (1953) and (210) follows: % 217.77/150.20 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.77/150.20 | % 217.77/150.20 +-Applying beta-rule and splitting (10244), into two cases. % 217.77/150.20 |-Branch one: % 217.77/150.20 | (10250) all_417_0_1969 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 217.77/150.20 | % 217.77/150.20 | Applying alpha-rule on (10250) yields: % 217.77/150.20 | (10251) all_417_0_1969 = 0 % 217.77/150.20 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 217.77/150.20 | (588) all_181_1_101 = e % 217.77/150.20 | % 217.77/150.20 | From (588) and (267) follows: % 217.77/150.20 | (1959) mem(e, all_74_1_69) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.77/150.20 | (233) all_110_0_80 = 0 % 217.77/150.20 | % 217.77/150.20 | Equations (233) can reduce 209 to: % 217.77/150.20 | (175) $false % 217.77/150.20 | % 217.77/150.20 |-The branch is then unsatisfiable % 217.77/150.20 |-Branch two: % 217.77/150.20 | (10257) all_417_0_1969 = 0 & mem(all_181_1_101, e) = 0 % 217.77/150.20 | % 217.77/150.20 | Applying alpha-rule on (10257) yields: % 217.77/150.20 | (10251) all_417_0_1969 = 0 % 217.77/150.20 | (603) mem(all_181_1_101, e) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 217.77/150.20 | (538) $false % 217.77/150.20 | % 217.77/150.20 |-The branch is then unsatisfiable % 217.77/150.20 |-Branch two: % 217.77/150.20 | (10261) all_398_0_1968 = 0 & mem(all_110_1_81, e) = 0 % 217.77/150.20 | % 217.77/150.20 | Applying alpha-rule on (10261) yields: % 217.77/150.20 | (10246) all_398_0_1968 = 0 % 217.77/150.20 | (1968) mem(all_110_1_81, e) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.77/150.20 | (538) $false % 217.77/150.20 | % 217.77/150.20 |-The branch is then unsatisfiable % 217.77/150.20 |-Branch two: % 217.77/150.20 | (10186) all_332_0_1956 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 217.77/150.20 | % 217.77/150.20 | Applying alpha-rule on (10186) yields: % 217.77/150.20 | (10180) all_332_0_1956 = 0 % 217.77/150.20 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 217.77/150.20 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 217.77/150.20 | % 217.77/150.20 | Instantiating (669) with all_406_0_1970 yields: % 217.77/150.20 | (10269) (all_406_0_1970 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_406_0_1970 = 0 & mem(all_135_1_87, e) = 0) % 217.77/150.20 | % 217.77/150.20 +-Applying beta-rule and splitting (10227), into two cases. % 217.77/150.20 |-Branch one: % 217.77/150.20 | (10245) all_398_0_1968 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.77/150.20 | % 217.77/150.20 | Applying alpha-rule on (10245) yields: % 217.77/150.20 | (10246) all_398_0_1968 = 0 % 217.77/150.20 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.77/150.20 | % 217.77/150.20 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.77/150.20 | (1953) all_110_1_81 = e % 217.77/150.20 | % 217.77/150.20 | From (1953) and (210) follows: % 217.77/150.20 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.77/150.20 | % 217.77/150.21 +-Applying beta-rule and splitting (10269), into two cases. % 217.77/150.21 |-Branch one: % 217.77/150.21 | (10275) all_406_0_1970 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 217.77/150.21 | % 217.77/150.21 | Applying alpha-rule on (10275) yields: % 217.77/150.21 | (10276) all_406_0_1970 = 0 % 217.77/150.21 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 217.77/150.21 | % 217.77/150.21 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 217.77/150.21 | (711) all_135_1_87 = e % 217.77/150.21 | % 217.77/150.21 | From (711) and (232) follows: % 217.77/150.21 | (1959) mem(e, all_74_1_69) = 0 % 217.77/150.21 | % 217.77/150.21 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.77/150.21 | (233) all_110_0_80 = 0 % 217.77/150.21 | % 217.77/150.21 | Equations (233) can reduce 209 to: % 217.77/150.21 | (175) $false % 217.77/150.21 | % 217.77/150.21 |-The branch is then unsatisfiable % 217.77/150.21 |-Branch two: % 217.77/150.21 | (10282) all_406_0_1970 = 0 & mem(all_135_1_87, e) = 0 % 217.77/150.21 | % 217.77/150.21 | Applying alpha-rule on (10282) yields: % 217.77/150.21 | (10276) all_406_0_1970 = 0 % 217.77/150.21 | (726) mem(all_135_1_87, e) = 0 % 217.77/150.21 | % 217.77/150.21 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 217.77/150.21 | (538) $false % 217.77/150.21 | % 217.77/150.21 |-The branch is then unsatisfiable % 217.77/150.21 |-Branch two: % 217.77/150.21 | (10261) all_398_0_1968 = 0 & mem(all_110_1_81, e) = 0 % 217.77/150.21 | % 217.77/150.21 | Applying alpha-rule on (10261) yields: % 217.77/150.21 | (10246) all_398_0_1968 = 0 % 217.77/150.21 | (1968) mem(all_110_1_81, e) = 0 % 217.77/150.21 | % 217.77/150.21 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.77/150.21 | (538) $false % 217.77/150.21 | % 217.77/150.21 |-The branch is then unsatisfiable % 217.77/150.21 |-Branch two: % 217.77/150.21 | (7146) all_226_0_1227 = 0 & mem(all_85_1_73, all_0_5_5) = 0 % 217.77/150.21 | % 217.77/150.21 | Applying alpha-rule on (7146) yields: % 217.77/150.21 | (6158) all_226_0_1227 = 0 % 217.77/150.21 | (7148) mem(all_85_1_73, all_0_5_5) = 0 % 217.77/150.21 | % 217.77/150.21 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_85_1_73, all_0_5_5) = 0, yields: % 217.77/150.21 | (7149) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_0_3_3) = 0) | (v0 = 0 & mem(all_85_1_73, all_0_6_6) = 0)) % 217.77/150.21 | % 217.77/150.21 | Instantiating (7149) with all_281_0_1971 yields: % 217.77/150.21 | (10294) (all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0) | (all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0) % 217.77/150.21 | % 217.77/150.21 +-Applying beta-rule and splitting (6123), into two cases. % 217.77/150.21 |-Branch one: % 217.77/150.21 | (6162) all_227_0_1228 = 0 & mem(all_135_1_87, all_0_1_1) = 0 % 217.77/150.21 | % 217.77/150.21 | Applying alpha-rule on (6162) yields: % 217.77/150.21 | (6163) all_227_0_1228 = 0 % 217.77/150.21 | (333) mem(all_135_1_87, all_0_1_1) = 0 % 217.77/150.21 | % 217.77/150.21 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_135_1_87, all_0_1_1) = 0, yields: % 217.77/150.21 | (334) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_2_2) = 0)) % 217.77/150.21 | % 217.77/150.21 | Instantiating (334) with all_289_0_1972 yields: % 217.77/150.21 | (10299) (all_289_0_1972 = 0 & mem(all_135_1_87, all_72_0_67) = 0) | (all_289_0_1972 = 0 & mem(all_135_1_87, all_0_2_2) = 0) % 217.77/150.21 | % 217.77/150.21 +-Applying beta-rule and splitting (6146), into two cases. % 217.77/150.21 |-Branch one: % 217.77/150.21 | (6167) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 217.77/150.21 | % 217.77/150.21 | Applying alpha-rule on (6167) yields: % 217.77/150.21 | (6168) all_252_0_1232 = 0 % 217.77/150.21 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 217.77/150.21 | % 217.77/150.21 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 217.77/150.21 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 217.77/150.21 | % 217.77/150.21 | Instantiating (370) with all_297_0_1973 yields: % 217.77/150.21 | (10304) (all_297_0_1973 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_297_0_1973 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 217.77/150.21 | % 217.77/150.21 +-Applying beta-rule and splitting (6149), into two cases. % 217.77/150.21 |-Branch one: % 217.77/150.22 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 217.77/150.22 | % 217.77/150.22 | Applying alpha-rule on (6239) yields: % 217.77/150.22 | (6240) all_259_0_1233 = 0 % 217.77/150.22 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 217.77/150.22 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 217.77/150.22 | % 217.77/150.22 | Instantiating (406) with all_305_0_1974 yields: % 217.77/150.22 | (10309) (all_305_0_1974 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_305_0_1974 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 217.77/150.22 | % 217.77/150.22 +-Applying beta-rule and splitting (10299), into two cases. % 217.77/150.22 |-Branch one: % 217.77/150.22 | (10310) all_289_0_1972 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 217.77/150.22 | % 217.77/150.22 | Applying alpha-rule on (10310) yields: % 217.77/150.22 | (10311) all_289_0_1972 = 0 % 217.77/150.22 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 217.77/150.22 | (351) all_135_1_87 = all_0_2_2 % 217.77/150.22 | % 217.77/150.22 | From (351) and (231) follows: % 217.77/150.22 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 217.77/150.22 | % 217.77/150.22 +-Applying beta-rule and splitting (10304), into two cases. % 217.77/150.22 |-Branch one: % 217.77/150.22 | (10315) all_297_0_1973 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.77/150.22 | % 217.77/150.22 | Applying alpha-rule on (10315) yields: % 217.77/150.22 | (10316) all_297_0_1973 = 0 % 217.77/150.22 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.77/150.22 | (387) all_181_1_101 = all_0_2_2 % 217.77/150.22 | % 217.77/150.22 | From (387) and (260) follows: % 217.77/150.22 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.77/150.22 | (261) all_135_0_86 = 0 % 217.77/150.22 | % 217.77/150.22 | Equations (261) can reduce 230 to: % 217.77/150.22 | (175) $false % 217.77/150.22 | % 217.77/150.22 |-The branch is then unsatisfiable % 217.77/150.22 |-Branch two: % 217.77/150.22 | (10322) all_297_0_1973 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.77/150.22 | % 217.77/150.22 | Applying alpha-rule on (10322) yields: % 217.77/150.22 | (10316) all_297_0_1973 = 0 % 217.77/150.22 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.77/150.22 | (394) all_181_1_101 = all_0_3_3 % 217.77/150.22 | % 217.77/150.22 | From (394) and (259) follows: % 217.77/150.22 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 217.77/150.22 | % 217.77/150.22 +-Applying beta-rule and splitting (10309), into two cases. % 217.77/150.22 |-Branch one: % 217.77/150.22 | (10327) all_305_0_1974 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.77/150.22 | % 217.77/150.22 | Applying alpha-rule on (10327) yields: % 217.77/150.22 | (10328) all_305_0_1974 = 0 % 217.77/150.22 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.77/150.22 | (423) all_165_2_96 = all_0_2_2 % 217.77/150.22 | % 217.77/150.22 | From (423) and (268) follows: % 217.77/150.22 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.77/150.22 | (261) all_135_0_86 = 0 % 217.77/150.22 | % 217.77/150.22 | Equations (261) can reduce 230 to: % 217.77/150.22 | (175) $false % 217.77/150.22 | % 217.77/150.22 |-The branch is then unsatisfiable % 217.77/150.22 |-Branch two: % 217.77/150.22 | (10334) all_305_0_1974 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.77/150.22 | % 217.77/150.22 | Applying alpha-rule on (10334) yields: % 217.77/150.22 | (10328) all_305_0_1974 = 0 % 217.77/150.22 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.77/150.22 | (430) all_165_2_96 = all_0_3_3 % 217.77/150.22 | % 217.77/150.22 | From (430) and (248) follows: % 217.77/150.22 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 217.77/150.22 | (526) all_181_0_100 = 0 % 217.77/150.22 | % 217.77/150.22 | Equations (526) can reduce 258 to: % 217.77/150.22 | (175) $false % 217.77/150.22 | % 217.77/150.22 |-The branch is then unsatisfiable % 217.77/150.22 |-Branch two: % 217.77/150.22 | (10341) all_289_0_1972 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 217.77/150.22 | % 217.77/150.22 | Applying alpha-rule on (10341) yields: % 217.77/150.22 | (10311) all_289_0_1972 = 0 % 217.77/150.22 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 217.77/150.22 | (358) all_135_1_87 = all_0_3_3 % 217.77/150.22 | % 217.77/150.22 | From (358) and (231) follows: % 217.77/150.22 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 217.77/150.22 | % 217.77/150.22 +-Applying beta-rule and splitting (10304), into two cases. % 217.77/150.22 |-Branch one: % 217.77/150.22 | (10315) all_297_0_1973 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.77/150.22 | % 217.77/150.22 | Applying alpha-rule on (10315) yields: % 217.77/150.22 | (10316) all_297_0_1973 = 0 % 217.77/150.22 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.77/150.22 | % 217.77/150.22 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.77/150.22 | (387) all_181_1_101 = all_0_2_2 % 217.77/150.22 | % 217.77/150.22 | From (387) and (259) follows: % 217.77/150.22 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 217.77/150.23 | % 217.77/150.23 +-Applying beta-rule and splitting (10309), into two cases. % 217.77/150.23 |-Branch one: % 217.85/150.23 | (10327) all_305_0_1974 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 217.85/150.23 | % 217.85/150.23 | Applying alpha-rule on (10327) yields: % 217.85/150.23 | (10328) all_305_0_1974 = 0 % 217.85/150.23 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 217.85/150.23 | (423) all_165_2_96 = all_0_2_2 % 217.85/150.23 | % 217.85/150.23 | From (423) and (248) follows: % 217.85/150.23 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 217.85/150.23 | (526) all_181_0_100 = 0 % 217.85/150.23 | % 217.85/150.23 | Equations (526) can reduce 258 to: % 217.85/150.23 | (175) $false % 217.85/150.23 | % 217.85/150.23 |-The branch is then unsatisfiable % 217.85/150.23 |-Branch two: % 217.85/150.23 | (10334) all_305_0_1974 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 217.85/150.23 | % 217.85/150.23 | Applying alpha-rule on (10334) yields: % 217.85/150.23 | (10328) all_305_0_1974 = 0 % 217.85/150.23 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 217.85/150.23 | (430) all_165_2_96 = all_0_3_3 % 217.85/150.23 | % 217.85/150.23 | From (430) and (268) follows: % 217.85/150.23 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.85/150.23 | (261) all_135_0_86 = 0 % 217.85/150.23 | % 217.85/150.23 | Equations (261) can reduce 230 to: % 217.85/150.23 | (175) $false % 217.85/150.23 | % 217.85/150.23 |-The branch is then unsatisfiable % 217.85/150.23 |-Branch two: % 217.85/150.23 | (10322) all_297_0_1973 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.85/150.23 | % 217.85/150.23 | Applying alpha-rule on (10322) yields: % 217.85/150.23 | (10316) all_297_0_1973 = 0 % 217.85/150.23 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.85/150.23 | (394) all_181_1_101 = all_0_3_3 % 217.85/150.23 | % 217.85/150.23 | From (394) and (260) follows: % 217.85/150.23 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.85/150.23 | (261) all_135_0_86 = 0 % 217.85/150.23 | % 217.85/150.23 | Equations (261) can reduce 230 to: % 217.85/150.23 | (175) $false % 217.85/150.23 | % 217.85/150.23 |-The branch is then unsatisfiable % 217.85/150.23 |-Branch two: % 217.85/150.23 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 217.85/150.23 | % 217.85/150.23 | Applying alpha-rule on (6306) yields: % 217.85/150.23 | (6240) all_259_0_1233 = 0 % 217.85/150.23 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 217.85/150.23 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 217.85/150.23 | % 217.85/150.23 | Instantiating (437) with all_305_0_1976 yields: % 217.85/150.23 | (10376) (all_305_0_1976 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_305_0_1976 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 217.85/150.23 | % 217.85/150.23 +-Applying beta-rule and splitting (6151), into two cases. % 217.85/150.23 |-Branch one: % 217.85/150.23 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 217.85/150.23 | % 217.85/150.23 | Applying alpha-rule on (6311) yields: % 217.85/150.23 | (6312) all_265_0_1234 = 0 % 217.85/150.23 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 217.85/150.23 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 217.85/150.23 | % 217.85/150.23 | Instantiating (442) with all_313_0_1977 yields: % 217.85/150.23 | (10381) (all_313_0_1977 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_313_0_1977 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 217.85/150.23 | % 217.85/150.23 +-Applying beta-rule and splitting (10299), into two cases. % 217.85/150.23 |-Branch one: % 217.85/150.23 | (10310) all_289_0_1972 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 217.85/150.23 | % 217.85/150.23 | Applying alpha-rule on (10310) yields: % 217.85/150.23 | (10311) all_289_0_1972 = 0 % 217.85/150.23 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 217.85/150.23 | (351) all_135_1_87 = all_0_2_2 % 217.85/150.23 | % 217.85/150.23 | From (351) and (231) follows: % 217.85/150.23 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 217.85/150.23 | % 217.85/150.23 +-Applying beta-rule and splitting (10304), into two cases. % 217.85/150.23 |-Branch one: % 217.85/150.23 | (10315) all_297_0_1973 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.85/150.23 | % 217.85/150.23 | Applying alpha-rule on (10315) yields: % 217.85/150.23 | (10316) all_297_0_1973 = 0 % 217.85/150.23 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.85/150.23 | (387) all_181_1_101 = all_0_2_2 % 217.85/150.23 | % 217.85/150.23 | From (387) and (260) follows: % 217.85/150.23 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.85/150.23 | % 217.85/150.23 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.85/150.23 | (261) all_135_0_86 = 0 % 217.85/150.23 | % 217.85/150.23 | Equations (261) can reduce 230 to: % 217.85/150.23 | (175) $false % 217.85/150.23 | % 217.85/150.23 |-The branch is then unsatisfiable % 217.85/150.23 |-Branch two: % 217.85/150.23 | (10322) all_297_0_1973 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.85/150.23 | % 217.85/150.23 | Applying alpha-rule on (10322) yields: % 217.85/150.24 | (10316) all_297_0_1973 = 0 % 217.85/150.24 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.85/150.24 | (394) all_181_1_101 = all_0_3_3 % 217.85/150.24 | % 217.85/150.24 | From (394) and (259) follows: % 217.85/150.24 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 217.85/150.24 | % 217.85/150.24 +-Applying beta-rule and splitting (10381), into two cases. % 217.85/150.24 |-Branch one: % 217.85/150.24 | (10399) all_313_0_1977 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.85/150.24 | % 217.85/150.24 | Applying alpha-rule on (10399) yields: % 217.85/150.24 | (10400) all_313_0_1977 = 0 % 217.85/150.24 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.85/150.24 | (459) all_212_1_107 = all_0_2_2 % 217.85/150.24 | % 217.85/150.24 | From (459) and (286) follows: % 217.85/150.24 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 217.85/150.24 | (261) all_135_0_86 = 0 % 217.85/150.24 | % 217.85/150.24 | Equations (261) can reduce 230 to: % 217.85/150.24 | (175) $false % 217.85/150.24 | % 217.85/150.24 |-The branch is then unsatisfiable % 217.85/150.24 |-Branch two: % 217.85/150.24 | (10406) all_313_0_1977 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Applying alpha-rule on (10406) yields: % 217.85/150.24 | (10400) all_313_0_1977 = 0 % 217.85/150.24 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.85/150.24 | (466) all_212_1_107 = all_0_3_3 % 217.85/150.24 | % 217.85/150.24 | From (466) and (281) follows: % 217.85/150.24 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 217.85/150.24 | (526) all_181_0_100 = 0 % 217.85/150.24 | % 217.85/150.24 | Equations (526) can reduce 258 to: % 217.85/150.24 | (175) $false % 217.85/150.24 | % 217.85/150.24 |-The branch is then unsatisfiable % 217.85/150.24 |-Branch two: % 217.85/150.24 | (10341) all_289_0_1972 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Applying alpha-rule on (10341) yields: % 217.85/150.24 | (10311) all_289_0_1972 = 0 % 217.85/150.24 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 217.85/150.24 | (358) all_135_1_87 = all_0_3_3 % 217.85/150.24 | % 217.85/150.24 | From (358) and (231) follows: % 217.85/150.24 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 217.85/150.24 | % 217.85/150.24 +-Applying beta-rule and splitting (10304), into two cases. % 217.85/150.24 |-Branch one: % 217.85/150.24 | (10315) all_297_0_1973 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 217.85/150.24 | % 217.85/150.24 | Applying alpha-rule on (10315) yields: % 217.85/150.24 | (10316) all_297_0_1973 = 0 % 217.85/150.24 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 217.85/150.24 | (387) all_181_1_101 = all_0_2_2 % 217.85/150.24 | % 217.85/150.24 | From (387) and (259) follows: % 217.85/150.24 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 217.85/150.24 | % 217.85/150.24 +-Applying beta-rule and splitting (10381), into two cases. % 217.85/150.24 |-Branch one: % 217.85/150.24 | (10399) all_313_0_1977 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 217.85/150.24 | % 217.85/150.24 | Applying alpha-rule on (10399) yields: % 217.85/150.24 | (10400) all_313_0_1977 = 0 % 217.85/150.24 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 217.85/150.24 | (459) all_212_1_107 = all_0_2_2 % 217.85/150.24 | % 217.85/150.24 | From (459) and (281) follows: % 217.85/150.24 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 217.85/150.24 | (526) all_181_0_100 = 0 % 217.85/150.24 | % 217.85/150.24 | Equations (526) can reduce 258 to: % 217.85/150.24 | (175) $false % 217.85/150.24 | % 217.85/150.24 |-The branch is then unsatisfiable % 217.85/150.24 |-Branch two: % 217.85/150.24 | (10406) all_313_0_1977 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Applying alpha-rule on (10406) yields: % 217.85/150.24 | (10400) all_313_0_1977 = 0 % 217.85/150.24 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 217.85/150.24 | (466) all_212_1_107 = all_0_3_3 % 217.85/150.24 | % 217.85/150.24 | From (466) and (286) follows: % 217.85/150.24 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.85/150.24 | (261) all_135_0_86 = 0 % 217.85/150.24 | % 217.85/150.24 | Equations (261) can reduce 230 to: % 217.85/150.24 | (175) $false % 217.85/150.24 | % 217.85/150.24 |-The branch is then unsatisfiable % 217.85/150.24 |-Branch two: % 217.85/150.24 | (10322) all_297_0_1973 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Applying alpha-rule on (10322) yields: % 217.85/150.24 | (10316) all_297_0_1973 = 0 % 217.85/150.24 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 217.85/150.24 | % 217.85/150.24 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 217.85/150.24 | (394) all_181_1_101 = all_0_3_3 % 217.85/150.24 | % 217.85/150.24 | From (394) and (260) follows: % 217.85/150.25 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 217.85/150.25 | (261) all_135_0_86 = 0 % 217.85/150.25 | % 217.85/150.25 | Equations (261) can reduce 230 to: % 217.85/150.25 | (175) $false % 217.85/150.25 | % 217.85/150.25 |-The branch is then unsatisfiable % 217.85/150.25 |-Branch two: % 217.85/150.25 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 217.85/150.25 | % 217.85/150.25 | Applying alpha-rule on (6378) yields: % 217.85/150.25 | (6312) all_265_0_1234 = 0 % 217.85/150.25 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 217.85/150.25 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 217.85/150.25 | % 217.85/150.25 | Instantiating (473) with all_313_0_1980 yields: % 217.85/150.25 | (10448) (all_313_0_1980 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_313_0_1980 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 217.85/150.25 | % 217.85/150.25 +-Applying beta-rule and splitting (9125), into two cases. % 217.85/150.25 |-Branch one: % 217.85/150.25 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 217.85/150.25 | % 217.85/150.25 | Applying alpha-rule on (9285) yields: % 217.85/150.25 | (9286) all_273_0_1800 = 0 % 217.85/150.25 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 217.85/150.25 | (1720) all_110_1_81 = all_0_5_5 % 217.85/150.25 | % 217.85/150.25 | From (1720) and (210) follows: % 217.85/150.25 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 217.85/150.25 | % 217.85/150.25 +-Applying beta-rule and splitting (10294), into two cases. % 217.85/150.25 |-Branch one: % 217.85/150.25 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 217.85/150.25 | % 217.85/150.25 | Applying alpha-rule on (10454) yields: % 217.85/150.25 | (10455) all_281_0_1971 = 0 % 217.85/150.25 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 217.85/150.25 | (7375) all_85_1_73 = all_0_6_6 % 217.85/150.25 | % 217.85/150.25 | From (7375) and (184) follows: % 217.85/150.25 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 217.85/150.25 | % 217.85/150.25 +-Applying beta-rule and splitting (10448), into two cases. % 217.85/150.25 |-Branch one: % 217.85/150.25 | (10459) all_313_0_1980 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.85/150.25 | % 217.85/150.25 | Applying alpha-rule on (10459) yields: % 217.85/150.25 | (10460) all_313_0_1980 = 0 % 217.85/150.25 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.85/150.25 | (507) all_212_1_107 = all_0_5_5 % 217.85/150.25 | % 217.85/150.25 | From (507) and (301) follows: % 217.85/150.25 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 217.85/150.25 | (233) all_110_0_80 = 0 % 217.85/150.25 | % 217.85/150.25 | Equations (233) can reduce 209 to: % 217.85/150.25 | (175) $false % 217.85/150.25 | % 217.85/150.25 |-The branch is then unsatisfiable % 217.85/150.25 |-Branch two: % 217.85/150.25 | (10466) all_313_0_1980 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.85/150.25 | % 217.85/150.25 | Applying alpha-rule on (10466) yields: % 217.85/150.25 | (10460) all_313_0_1980 = 0 % 217.85/150.25 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.85/150.25 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.85/150.25 | % 217.85/150.25 | Instantiating (514) with all_373_0_1982 yields: % 217.85/150.25 | (10470) (all_373_0_1982 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_373_0_1982 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.85/150.25 | % 217.85/150.25 +-Applying beta-rule and splitting (10470), into two cases. % 217.85/150.25 |-Branch one: % 217.85/150.25 | (10471) all_373_0_1982 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.85/150.25 | % 217.85/150.25 | Applying alpha-rule on (10471) yields: % 217.85/150.25 | (10472) all_373_0_1982 = 0 % 217.85/150.25 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.85/150.25 | (524) all_212_1_107 = all_0_6_6 % 217.85/150.25 | % 217.85/150.25 | From (524) and (312) follows: % 217.85/150.25 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.85/150.25 | % 217.85/150.25 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.85/150.25 | (212) all_85_0_72 = 0 % 217.85/150.25 | % 217.85/150.25 | Equations (212) can reduce 183 to: % 217.85/150.25 | (175) $false % 217.85/150.25 | % 217.85/150.25 |-The branch is then unsatisfiable % 217.85/150.25 |-Branch two: % 217.85/150.25 | (10478) all_373_0_1982 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.85/150.25 | % 217.85/150.25 | Applying alpha-rule on (10478) yields: % 217.85/150.26 | (10472) all_373_0_1982 = 0 % 217.85/150.26 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.85/150.26 | % 217.85/150.26 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.85/150.26 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.85/150.26 | % 217.85/150.26 | Instantiating (531) with all_389_0_1984 yields: % 217.85/150.26 | (10482) (all_389_0_1984 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_389_0_1984 = 0 & mem(all_212_1_107, e) = 0) % 217.85/150.26 | % 217.85/150.26 +-Applying beta-rule and splitting (10482), into two cases. % 217.85/150.26 |-Branch one: % 217.85/150.26 | (10483) all_389_0_1984 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.85/150.26 | % 217.85/150.26 | Applying alpha-rule on (10483) yields: % 217.85/150.26 | (10484) all_389_0_1984 = 0 % 217.85/150.26 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.85/150.26 | % 217.85/150.26 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.85/150.26 | (536) all_212_1_107 = e % 217.85/150.26 | % 217.85/150.26 | From (536) and (6141) follows: % 217.85/150.26 | (6440) mem(all_244_1_1231, e) = 0 % 217.85/150.26 | % 217.85/150.26 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.85/150.26 | (538) $false % 217.85/150.26 | % 217.85/150.26 |-The branch is then unsatisfiable % 217.85/150.26 |-Branch two: % 217.85/150.26 | (10489) all_389_0_1984 = 0 & mem(all_212_1_107, e) = 0 % 217.85/150.26 | % 217.85/150.26 | Applying alpha-rule on (10489) yields: % 217.85/150.26 | (10484) all_389_0_1984 = 0 % 217.85/150.26 | (541) mem(all_212_1_107, e) = 0 % 217.85/150.26 | % 217.85/150.26 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.85/150.26 | (538) $false % 217.85/150.26 | % 217.85/150.26 |-The branch is then unsatisfiable % 217.85/150.26 |-Branch two: % 217.85/150.26 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 217.85/150.26 | % 217.85/150.26 | Applying alpha-rule on (10493) yields: % 217.85/150.26 | (10455) all_281_0_1971 = 0 % 217.85/150.26 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 217.85/150.26 | % 217.85/150.26 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 217.85/150.26 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 217.85/150.26 | % 217.85/150.26 | Instantiating (7517) with all_332_0_1989 yields: % 217.85/150.26 | (10497) (all_332_0_1989 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_1989 = 0 & mem(all_85_1_73, e) = 0) % 217.85/150.26 | % 217.85/150.26 +-Applying beta-rule and splitting (10376), into two cases. % 217.85/150.26 |-Branch one: % 217.85/150.26 | (10498) all_305_0_1976 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.85/150.26 | % 217.85/150.26 | Applying alpha-rule on (10498) yields: % 217.85/150.26 | (10499) all_305_0_1976 = 0 % 217.85/150.26 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.85/150.26 | % 217.85/150.26 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.85/150.26 | (495) all_165_2_96 = all_0_5_5 % 217.85/150.26 | % 217.85/150.26 | From (495) and (288) follows: % 217.85/150.26 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 217.85/150.26 | % 217.85/150.26 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 217.85/150.26 | (233) all_110_0_80 = 0 % 217.85/150.26 | % 217.85/150.26 | Equations (233) can reduce 209 to: % 217.85/150.26 | (175) $false % 217.85/150.26 | % 217.85/150.26 |-The branch is then unsatisfiable % 217.85/150.26 |-Branch two: % 217.85/150.26 | (10505) all_305_0_1976 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.85/150.26 | % 217.85/150.26 | Applying alpha-rule on (10505) yields: % 217.85/150.26 | (10499) all_305_0_1976 = 0 % 217.85/150.26 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.85/150.26 | % 217.85/150.26 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.85/150.26 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.85/150.26 | % 217.85/150.26 | Instantiating (502) with all_362_0_1990 yields: % 217.85/150.26 | (10509) (all_362_0_1990 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_1990 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.85/150.26 | % 217.85/150.26 +-Applying beta-rule and splitting (10448), into two cases. % 217.85/150.26 |-Branch one: % 217.85/150.26 | (10459) all_313_0_1980 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.85/150.26 | % 217.85/150.27 | Applying alpha-rule on (10459) yields: % 217.85/150.27 | (10460) all_313_0_1980 = 0 % 217.85/150.27 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.85/150.27 | % 217.85/150.27 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.85/150.27 | (507) all_212_1_107 = all_0_5_5 % 217.85/150.27 | % 217.85/150.27 | From (507) and (301) follows: % 217.85/150.27 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 217.85/150.27 | % 217.85/150.27 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 217.85/150.27 | (233) all_110_0_80 = 0 % 217.85/150.27 | % 217.85/150.27 | Equations (233) can reduce 209 to: % 217.85/150.27 | (175) $false % 217.85/150.27 | % 217.85/150.27 |-The branch is then unsatisfiable % 217.85/150.27 |-Branch two: % 217.85/150.27 | (10466) all_313_0_1980 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.85/150.27 | % 217.85/150.27 | Applying alpha-rule on (10466) yields: % 217.85/150.27 | (10460) all_313_0_1980 = 0 % 217.85/150.27 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.85/150.27 | % 217.85/150.27 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.85/150.27 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.85/150.27 | % 217.85/150.27 | Instantiating (514) with all_370_0_1991 yields: % 217.85/150.27 | (10521) (all_370_0_1991 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_370_0_1991 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.85/150.27 | % 217.85/150.27 +-Applying beta-rule and splitting (10497), into two cases. % 217.85/150.27 |-Branch one: % 217.85/150.27 | (10522) all_332_0_1989 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.85/150.27 | % 217.85/150.27 | Applying alpha-rule on (10522) yields: % 217.94/150.27 | (10523) all_332_0_1989 = 0 % 217.94/150.27 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.94/150.27 | % 217.94/150.27 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.94/150.27 | (7551) all_85_1_73 = e % 217.94/150.27 | % 217.94/150.27 | From (7551) and (184) follows: % 217.94/150.27 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.94/150.27 | % 217.94/150.27 +-Applying beta-rule and splitting (10509), into two cases. % 217.94/150.27 |-Branch one: % 217.94/150.27 | (10527) all_362_0_1990 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.94/150.27 | % 217.94/150.27 | Applying alpha-rule on (10527) yields: % 217.94/150.27 | (10528) all_362_0_1990 = 0 % 217.94/150.27 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.94/150.27 | % 217.94/150.27 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.94/150.27 | (551) all_165_2_96 = all_0_6_6 % 217.94/150.27 | % 217.94/150.27 | From (551) and (6142) follows: % 217.94/150.27 | (6455) mem(all_244_1_1231, all_0_6_6) = all_244_0_1230 % 217.94/150.27 | % 217.94/150.27 | Instantiating formula (8) with all_244_0_1230, all_0_6_6, all_66_0_64, e, all_244_1_1231 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, yields: % 217.94/150.27 | (6456) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 217.94/150.27 | % 217.94/150.27 +-Applying beta-rule and splitting (10521), into two cases. % 217.94/150.27 |-Branch one: % 217.94/150.27 | (10533) all_370_0_1991 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.94/150.27 | % 217.94/150.27 | Applying alpha-rule on (10533) yields: % 217.94/150.27 | (10534) all_370_0_1991 = 0 % 217.94/150.27 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.94/150.27 | % 217.94/150.27 +-Applying beta-rule and splitting (6456), into two cases. % 217.94/150.27 |-Branch one: % 217.94/150.27 | (6460) all_244_0_1230 = 0 % 217.94/150.27 | % 217.94/150.27 | Equations (6460) can reduce 6140 to: % 217.94/150.27 | (175) $false % 217.94/150.27 | % 217.94/150.27 |-The branch is then unsatisfiable % 217.94/150.27 |-Branch two: % 217.94/150.27 | (6140) ~ (all_244_0_1230 = 0) % 217.94/150.27 | (6463) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_66_0_64) = v1 & mem(all_244_1_1231, e) = v0) % 217.94/150.27 | % 217.94/150.27 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.94/150.27 | (524) all_212_1_107 = all_0_6_6 % 217.94/150.27 | % 217.94/150.27 | From (524) and (6141) follows: % 217.94/150.27 | (6465) mem(all_244_1_1231, all_0_6_6) = 0 % 217.94/150.27 | % 217.94/150.27 | Instantiating formula (65) with all_244_1_1231, all_0_6_6, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_6_6) = all_244_0_1230, mem(all_244_1_1231, all_0_6_6) = 0, yields: % 217.94/150.27 | (6460) all_244_0_1230 = 0 % 217.94/150.27 | % 217.94/150.27 | Equations (6460) can reduce 6140 to: % 217.94/150.27 | (175) $false % 217.94/150.27 | % 217.94/150.27 |-The branch is then unsatisfiable % 217.94/150.27 |-Branch two: % 217.94/150.27 | (10544) all_370_0_1991 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.94/150.27 | % 217.94/150.27 | Applying alpha-rule on (10544) yields: % 217.94/150.28 | (10534) all_370_0_1991 = 0 % 217.94/150.28 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.94/150.28 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.94/150.28 | % 217.94/150.28 | Instantiating (531) with all_411_0_2000 yields: % 217.94/150.28 | (10548) (all_411_0_2000 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_411_0_2000 = 0 & mem(all_212_1_107, e) = 0) % 217.94/150.28 | % 217.94/150.28 +-Applying beta-rule and splitting (10548), into two cases. % 217.94/150.28 |-Branch one: % 217.94/150.28 | (10549) all_411_0_2000 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.94/150.28 | % 217.94/150.28 | Applying alpha-rule on (10549) yields: % 217.94/150.28 | (10550) all_411_0_2000 = 0 % 217.94/150.28 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.94/150.28 | (536) all_212_1_107 = e % 217.94/150.28 | % 217.94/150.28 | From (536) and (6141) follows: % 217.94/150.28 | (6440) mem(all_244_1_1231, e) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.94/150.28 | (538) $false % 217.94/150.28 | % 217.94/150.28 |-The branch is then unsatisfiable % 217.94/150.28 |-Branch two: % 217.94/150.28 | (10555) all_411_0_2000 = 0 & mem(all_212_1_107, e) = 0 % 217.94/150.28 | % 217.94/150.28 | Applying alpha-rule on (10555) yields: % 217.94/150.28 | (10550) all_411_0_2000 = 0 % 217.94/150.28 | (541) mem(all_212_1_107, e) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.94/150.28 | (538) $false % 217.94/150.28 | % 217.94/150.28 |-The branch is then unsatisfiable % 217.94/150.28 |-Branch two: % 217.94/150.28 | (10559) all_362_0_1990 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.94/150.28 | % 217.94/150.28 | Applying alpha-rule on (10559) yields: % 217.94/150.28 | (10528) all_362_0_1990 = 0 % 217.94/150.28 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.94/150.28 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.94/150.28 | % 217.94/150.28 | Instantiating (583) with all_389_0_2003 yields: % 217.94/150.28 | (10563) (all_389_0_2003 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_389_0_2003 = 0 & mem(all_165_2_96, e) = 0) % 217.94/150.28 | % 217.94/150.28 +-Applying beta-rule and splitting (10563), into two cases. % 217.94/150.28 |-Branch one: % 217.94/150.28 | (10564) all_389_0_2003 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.94/150.28 | % 217.94/150.28 | Applying alpha-rule on (10564) yields: % 217.94/150.28 | (10565) all_389_0_2003 = 0 % 217.94/150.28 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.94/150.28 | (593) all_165_2_96 = e % 217.94/150.28 | % 217.94/150.28 | From (593) and (303) follows: % 217.94/150.28 | (7594) mem(e, all_57_1_62) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.94/150.28 | (212) all_85_0_72 = 0 % 217.94/150.28 | % 217.94/150.28 | Equations (212) can reduce 183 to: % 217.94/150.28 | (175) $false % 217.94/150.28 | % 217.94/150.28 |-The branch is then unsatisfiable % 217.94/150.28 |-Branch two: % 217.94/150.28 | (10571) all_389_0_2003 = 0 & mem(all_165_2_96, e) = 0 % 217.94/150.28 | % 217.94/150.28 | Applying alpha-rule on (10571) yields: % 217.94/150.28 | (10565) all_389_0_2003 = 0 % 217.94/150.28 | (599) mem(all_165_2_96, e) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.94/150.28 | (538) $false % 217.94/150.28 | % 217.94/150.28 |-The branch is then unsatisfiable % 217.94/150.28 |-Branch two: % 217.94/150.28 | (10575) all_332_0_1989 = 0 & mem(all_85_1_73, e) = 0 % 217.94/150.28 | % 217.94/150.28 | Applying alpha-rule on (10575) yields: % 217.94/150.28 | (10523) all_332_0_1989 = 0 % 217.94/150.28 | (7603) mem(all_85_1_73, e) = 0 % 217.94/150.28 | % 217.94/150.28 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.94/150.28 | (538) $false % 217.94/150.28 | % 217.94/150.28 |-The branch is then unsatisfiable % 217.94/150.29 |-Branch two: % 217.94/150.29 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 217.94/150.29 | % 217.94/150.29 | Applying alpha-rule on (9292) yields: % 217.94/150.29 | (9286) all_273_0_1800 = 0 % 217.94/150.29 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 217.94/150.29 | % 217.94/150.29 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 217.94/150.29 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 217.94/150.29 | % 217.94/150.29 | Instantiating (1850) with all_321_0_2009 yields: % 217.94/150.29 | (10583) (all_321_0_2009 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_321_0_2009 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 217.94/150.29 | % 217.94/150.29 +-Applying beta-rule and splitting (10294), into two cases. % 217.94/150.29 |-Branch one: % 217.94/150.29 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 217.94/150.29 | % 217.94/150.29 | Applying alpha-rule on (10454) yields: % 217.94/150.29 | (10455) all_281_0_1971 = 0 % 217.94/150.29 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 217.94/150.29 | % 217.94/150.29 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 217.94/150.29 | (7375) all_85_1_73 = all_0_6_6 % 217.94/150.29 | % 217.94/150.29 | From (7375) and (184) follows: % 217.94/150.29 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 217.94/150.29 | % 217.94/150.29 +-Applying beta-rule and splitting (10376), into two cases. % 217.94/150.29 |-Branch one: % 217.94/150.29 | (10498) all_305_0_1976 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.94/150.29 | % 217.94/150.29 | Applying alpha-rule on (10498) yields: % 217.94/150.29 | (10499) all_305_0_1976 = 0 % 217.94/150.29 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.94/150.29 | % 217.94/150.29 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.94/150.29 | (495) all_165_2_96 = all_0_5_5 % 217.94/150.29 | % 217.94/150.29 | From (495) and (6142) follows: % 217.94/150.29 | (7425) mem(all_244_1_1231, all_0_5_5) = all_244_0_1230 % 217.94/150.29 | % 217.94/150.29 | Instantiating formula (8) with all_244_0_1230, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_1231 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, yields: % 217.94/150.29 | (7426) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.94/150.29 | % 217.94/150.29 +-Applying beta-rule and splitting (10448), into two cases. % 217.94/150.29 |-Branch one: % 217.94/150.29 | (10459) all_313_0_1980 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.94/150.29 | % 217.94/150.29 | Applying alpha-rule on (10459) yields: % 217.94/150.29 | (10460) all_313_0_1980 = 0 % 217.94/150.29 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.94/150.29 | % 217.94/150.29 +-Applying beta-rule and splitting (7426), into two cases. % 217.94/150.29 |-Branch one: % 217.94/150.29 | (6460) all_244_0_1230 = 0 % 217.94/150.29 | % 217.94/150.29 | Equations (6460) can reduce 6140 to: % 217.94/150.29 | (175) $false % 217.94/150.29 | % 217.94/150.29 |-The branch is then unsatisfiable % 217.94/150.29 |-Branch two: % 217.94/150.29 | (6140) ~ (all_244_0_1230 = 0) % 217.94/150.29 | (7433) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.94/150.29 | % 217.94/150.29 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.94/150.29 | (507) all_212_1_107 = all_0_5_5 % 217.94/150.29 | % 217.94/150.29 | From (507) and (6141) follows: % 217.94/150.29 | (7435) mem(all_244_1_1231, all_0_5_5) = 0 % 217.94/150.29 | % 217.94/150.29 | Instantiating formula (65) with all_244_1_1231, all_0_5_5, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, mem(all_244_1_1231, all_0_5_5) = 0, yields: % 217.94/150.29 | (6460) all_244_0_1230 = 0 % 217.94/150.29 | % 217.94/150.29 | Equations (6460) can reduce 6140 to: % 217.94/150.29 | (175) $false % 217.94/150.29 | % 217.94/150.29 |-The branch is then unsatisfiable % 217.94/150.30 |-Branch two: % 217.94/150.30 | (10466) all_313_0_1980 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.94/150.30 | % 217.94/150.30 | Applying alpha-rule on (10466) yields: % 217.94/150.30 | (10460) all_313_0_1980 = 0 % 217.94/150.30 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.94/150.30 | % 217.94/150.30 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.94/150.30 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.94/150.30 | % 217.94/150.30 | Instantiating (514) with all_384_0_2018 yields: % 217.94/150.30 | (10610) (all_384_0_2018 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_384_0_2018 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.94/150.30 | % 217.94/150.30 +-Applying beta-rule and splitting (10610), into two cases. % 217.94/150.30 |-Branch one: % 217.94/150.30 | (10611) all_384_0_2018 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.94/150.30 | % 217.94/150.30 | Applying alpha-rule on (10611) yields: % 217.94/150.30 | (10612) all_384_0_2018 = 0 % 217.94/150.30 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.94/150.30 | % 217.94/150.30 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.94/150.30 | (524) all_212_1_107 = all_0_6_6 % 217.94/150.30 | % 217.94/150.30 | From (524) and (312) follows: % 217.94/150.30 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.94/150.30 | % 217.94/150.30 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.94/150.30 | (212) all_85_0_72 = 0 % 217.94/150.30 | % 217.94/150.30 | Equations (212) can reduce 183 to: % 217.94/150.30 | (175) $false % 217.94/150.30 | % 217.94/150.30 |-The branch is then unsatisfiable % 217.94/150.30 |-Branch two: % 217.94/150.30 | (10618) all_384_0_2018 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.94/150.30 | % 217.94/150.30 | Applying alpha-rule on (10618) yields: % 217.94/150.30 | (10612) all_384_0_2018 = 0 % 217.94/150.30 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.94/150.30 | % 217.94/150.30 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.94/150.30 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.94/150.30 | % 217.94/150.30 | Instantiating (531) with all_417_0_2032 yields: % 217.94/150.30 | (10622) (all_417_0_2032 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_417_0_2032 = 0 & mem(all_212_1_107, e) = 0) % 217.94/150.30 | % 217.94/150.30 +-Applying beta-rule and splitting (10622), into two cases. % 217.94/150.30 |-Branch one: % 217.94/150.30 | (10623) all_417_0_2032 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.94/150.30 | % 217.94/150.30 | Applying alpha-rule on (10623) yields: % 217.94/150.30 | (10624) all_417_0_2032 = 0 % 217.94/150.30 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.94/150.30 | % 217.94/150.30 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.94/150.30 | (536) all_212_1_107 = e % 217.94/150.30 | % 217.94/150.30 | From (536) and (6141) follows: % 217.94/150.30 | (6440) mem(all_244_1_1231, e) = 0 % 217.94/150.30 | % 217.94/150.30 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.94/150.30 | (538) $false % 217.94/150.30 | % 217.94/150.30 |-The branch is then unsatisfiable % 217.94/150.30 |-Branch two: % 217.94/150.30 | (10629) all_417_0_2032 = 0 & mem(all_212_1_107, e) = 0 % 217.94/150.30 | % 217.94/150.30 | Applying alpha-rule on (10629) yields: % 217.94/150.30 | (10624) all_417_0_2032 = 0 % 217.94/150.30 | (541) mem(all_212_1_107, e) = 0 % 217.94/150.30 | % 217.94/150.30 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.94/150.30 | (538) $false % 217.94/150.30 | % 217.94/150.30 |-The branch is then unsatisfiable % 217.94/150.30 |-Branch two: % 217.94/150.30 | (10505) all_305_0_1976 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.94/150.30 | % 217.94/150.30 | Applying alpha-rule on (10505) yields: % 217.94/150.30 | (10499) all_305_0_1976 = 0 % 217.94/150.30 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.94/150.30 | % 217.94/150.30 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.94/150.30 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.94/150.30 | % 217.94/150.30 | Instantiating (502) with all_362_0_2033 yields: % 217.94/150.30 | (10637) (all_362_0_2033 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_2033 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.94/150.30 | % 217.94/150.30 +-Applying beta-rule and splitting (10583), into two cases. % 217.94/150.30 |-Branch one: % 217.94/150.30 | (10638) all_321_0_2009 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.94/150.30 | % 217.94/150.31 | Applying alpha-rule on (10638) yields: % 217.94/150.31 | (10639) all_321_0_2009 = 0 % 217.94/150.31 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.94/150.31 | (1884) all_110_1_81 = all_0_6_6 % 217.94/150.31 | % 217.94/150.31 | From (1884) and (211) follows: % 217.94/150.31 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.94/150.31 | (212) all_85_0_72 = 0 % 217.94/150.31 | % 217.94/150.31 | Equations (212) can reduce 183 to: % 217.94/150.31 | (175) $false % 217.94/150.31 | % 217.94/150.31 |-The branch is then unsatisfiable % 217.94/150.31 |-Branch two: % 217.94/150.31 | (10645) all_321_0_2009 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 217.94/150.31 | % 217.94/150.31 | Applying alpha-rule on (10645) yields: % 217.94/150.31 | (10639) all_321_0_2009 = 0 % 217.94/150.31 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 217.94/150.31 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 217.94/150.31 | % 217.94/150.31 | Instantiating (1911) with all_388_0_2039 yields: % 217.94/150.31 | (10649) (all_388_0_2039 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_388_0_2039 = 0 & mem(all_110_1_81, e) = 0) % 217.94/150.31 | % 217.94/150.31 +-Applying beta-rule and splitting (10637), into two cases. % 217.94/150.31 |-Branch one: % 217.94/150.31 | (10650) all_362_0_2033 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.94/150.31 | % 217.94/150.31 | Applying alpha-rule on (10650) yields: % 217.94/150.31 | (10651) all_362_0_2033 = 0 % 217.94/150.31 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.94/150.31 | (551) all_165_2_96 = all_0_6_6 % 217.94/150.31 | % 217.94/150.31 | From (551) and (303) follows: % 217.94/150.31 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 217.94/150.31 | (212) all_85_0_72 = 0 % 217.94/150.31 | % 217.94/150.31 | Equations (212) can reduce 183 to: % 217.94/150.31 | (175) $false % 217.94/150.31 | % 217.94/150.31 |-The branch is then unsatisfiable % 217.94/150.31 |-Branch two: % 217.94/150.31 | (10657) all_362_0_2033 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.94/150.31 | % 217.94/150.31 | Applying alpha-rule on (10657) yields: % 217.94/150.31 | (10651) all_362_0_2033 = 0 % 217.94/150.31 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 217.94/150.31 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 217.94/150.31 | % 217.94/150.31 | Instantiating (583) with all_397_0_2041 yields: % 217.94/150.31 | (10661) (all_397_0_2041 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_397_0_2041 = 0 & mem(all_165_2_96, e) = 0) % 217.94/150.31 | % 217.94/150.31 +-Applying beta-rule and splitting (10649), into two cases. % 217.94/150.31 |-Branch one: % 217.94/150.31 | (10662) all_388_0_2039 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.94/150.31 | % 217.94/150.31 | Applying alpha-rule on (10662) yields: % 217.94/150.31 | (10663) all_388_0_2039 = 0 % 217.94/150.31 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.94/150.31 | (1953) all_110_1_81 = e % 217.94/150.31 | % 217.94/150.31 | From (1953) and (210) follows: % 217.94/150.31 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 217.94/150.31 | % 217.94/150.31 +-Applying beta-rule and splitting (10661), into two cases. % 217.94/150.31 |-Branch one: % 217.94/150.31 | (10667) all_397_0_2041 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 217.94/150.31 | % 217.94/150.31 | Applying alpha-rule on (10667) yields: % 217.94/150.31 | (10668) all_397_0_2041 = 0 % 217.94/150.31 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 217.94/150.31 | (593) all_165_2_96 = e % 217.94/150.31 | % 217.94/150.31 | From (593) and (288) follows: % 217.94/150.31 | (1959) mem(e, all_74_1_69) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 217.94/150.31 | (233) all_110_0_80 = 0 % 217.94/150.31 | % 217.94/150.31 | Equations (233) can reduce 209 to: % 217.94/150.31 | (175) $false % 217.94/150.31 | % 217.94/150.31 |-The branch is then unsatisfiable % 217.94/150.31 |-Branch two: % 217.94/150.31 | (10674) all_397_0_2041 = 0 & mem(all_165_2_96, e) = 0 % 217.94/150.31 | % 217.94/150.31 | Applying alpha-rule on (10674) yields: % 217.94/150.31 | (10668) all_397_0_2041 = 0 % 217.94/150.31 | (599) mem(all_165_2_96, e) = 0 % 217.94/150.31 | % 217.94/150.31 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 217.94/150.31 | (538) $false % 217.94/150.31 | % 217.94/150.31 |-The branch is then unsatisfiable % 217.94/150.31 |-Branch two: % 217.94/150.31 | (10678) all_388_0_2039 = 0 & mem(all_110_1_81, e) = 0 % 217.94/150.31 | % 217.94/150.32 | Applying alpha-rule on (10678) yields: % 217.94/150.32 | (10663) all_388_0_2039 = 0 % 217.94/150.32 | (1968) mem(all_110_1_81, e) = 0 % 217.94/150.32 | % 217.94/150.32 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.94/150.32 | (538) $false % 217.94/150.32 | % 217.94/150.32 |-The branch is then unsatisfiable % 217.94/150.32 |-Branch two: % 217.94/150.32 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 217.94/150.32 | % 217.94/150.32 | Applying alpha-rule on (10493) yields: % 217.94/150.32 | (10455) all_281_0_1971 = 0 % 217.94/150.32 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 217.94/150.32 | % 217.94/150.32 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 217.94/150.32 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 217.94/150.32 | % 217.94/150.32 | Instantiating (7517) with all_329_0_2042 yields: % 217.94/150.32 | (10686) (all_329_0_2042 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_329_0_2042 = 0 & mem(all_85_1_73, e) = 0) % 217.94/150.32 | % 217.94/150.32 +-Applying beta-rule and splitting (10376), into two cases. % 217.94/150.32 |-Branch one: % 217.94/150.32 | (10498) all_305_0_1976 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 217.94/150.32 | % 217.94/150.32 | Applying alpha-rule on (10498) yields: % 217.94/150.32 | (10499) all_305_0_1976 = 0 % 217.94/150.32 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 217.94/150.32 | % 217.94/150.32 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 217.94/150.32 | (495) all_165_2_96 = all_0_5_5 % 217.94/150.32 | % 217.94/150.32 | From (495) and (6142) follows: % 217.94/150.32 | (7425) mem(all_244_1_1231, all_0_5_5) = all_244_0_1230 % 217.94/150.32 | % 217.94/150.32 | Instantiating formula (8) with all_244_0_1230, all_0_5_5, all_0_3_3, all_0_6_6, all_244_1_1231 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, yields: % 217.94/150.32 | (7426) all_244_0_1230 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.94/150.32 | % 217.94/150.32 +-Applying beta-rule and splitting (10448), into two cases. % 217.94/150.32 |-Branch one: % 217.94/150.32 | (10459) all_313_0_1980 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 217.94/150.32 | % 217.94/150.32 | Applying alpha-rule on (10459) yields: % 217.94/150.32 | (10460) all_313_0_1980 = 0 % 217.94/150.32 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 217.94/150.32 | % 217.94/150.32 +-Applying beta-rule and splitting (7426), into two cases. % 217.94/150.32 |-Branch one: % 217.94/150.32 | (6460) all_244_0_1230 = 0 % 217.94/150.32 | % 217.94/150.32 | Equations (6460) can reduce 6140 to: % 217.94/150.32 | (175) $false % 217.94/150.32 | % 217.94/150.32 |-The branch is then unsatisfiable % 217.94/150.32 |-Branch two: % 217.94/150.32 | (6140) ~ (all_244_0_1230 = 0) % 217.94/150.32 | (7433) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & mem(all_244_1_1231, all_0_3_3) = v1 & mem(all_244_1_1231, all_0_6_6) = v0) % 217.94/150.32 | % 217.94/150.32 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 217.94/150.32 | (507) all_212_1_107 = all_0_5_5 % 217.94/150.32 | % 217.94/150.32 | From (507) and (6141) follows: % 217.94/150.32 | (7435) mem(all_244_1_1231, all_0_5_5) = 0 % 217.94/150.32 | % 217.94/150.32 | Instantiating formula (65) with all_244_1_1231, all_0_5_5, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_5_5) = all_244_0_1230, mem(all_244_1_1231, all_0_5_5) = 0, yields: % 217.94/150.32 | (6460) all_244_0_1230 = 0 % 217.94/150.32 | % 217.94/150.32 | Equations (6460) can reduce 6140 to: % 217.94/150.32 | (175) $false % 217.94/150.32 | % 217.94/150.32 |-The branch is then unsatisfiable % 217.94/150.32 |-Branch two: % 217.94/150.32 | (10466) all_313_0_1980 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 217.94/150.32 | % 217.94/150.32 | Applying alpha-rule on (10466) yields: % 217.94/150.33 | (10460) all_313_0_1980 = 0 % 217.94/150.33 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 217.94/150.33 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 217.94/150.33 | % 217.94/150.33 | Instantiating (514) with all_381_0_2051 yields: % 217.94/150.33 | (10708) (all_381_0_2051 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_381_0_2051 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 217.94/150.33 | % 217.94/150.33 +-Applying beta-rule and splitting (10583), into two cases. % 217.94/150.33 |-Branch one: % 217.94/150.33 | (10638) all_321_0_2009 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.94/150.33 | % 217.94/150.33 | Applying alpha-rule on (10638) yields: % 217.94/150.33 | (10639) all_321_0_2009 = 0 % 217.94/150.33 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.94/150.33 | (1884) all_110_1_81 = all_0_6_6 % 217.94/150.33 | % 217.94/150.33 | From (1884) and (210) follows: % 217.94/150.33 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 217.94/150.33 | % 217.94/150.33 +-Applying beta-rule and splitting (10708), into two cases. % 217.94/150.33 |-Branch one: % 217.94/150.33 | (10714) all_381_0_2051 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 217.94/150.33 | % 217.94/150.33 | Applying alpha-rule on (10714) yields: % 217.94/150.33 | (10715) all_381_0_2051 = 0 % 217.94/150.33 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 217.94/150.33 | (524) all_212_1_107 = all_0_6_6 % 217.94/150.33 | % 217.94/150.33 | From (524) and (301) follows: % 217.94/150.33 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.94/150.33 | (233) all_110_0_80 = 0 % 217.94/150.33 | % 217.94/150.33 | Equations (233) can reduce 209 to: % 217.94/150.33 | (175) $false % 217.94/150.33 | % 217.94/150.33 |-The branch is then unsatisfiable % 217.94/150.33 |-Branch two: % 217.94/150.33 | (10721) all_381_0_2051 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 217.94/150.33 | % 217.94/150.33 | Applying alpha-rule on (10721) yields: % 217.94/150.33 | (10715) all_381_0_2051 = 0 % 217.94/150.33 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 217.94/150.33 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 217.94/150.33 | % 217.94/150.33 | Instantiating (531) with all_428_0_2058 yields: % 217.94/150.33 | (10725) (all_428_0_2058 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_428_0_2058 = 0 & mem(all_212_1_107, e) = 0) % 217.94/150.33 | % 217.94/150.33 +-Applying beta-rule and splitting (10725), into two cases. % 217.94/150.33 |-Branch one: % 217.94/150.33 | (10726) all_428_0_2058 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 217.94/150.33 | % 217.94/150.33 | Applying alpha-rule on (10726) yields: % 217.94/150.33 | (10727) all_428_0_2058 = 0 % 217.94/150.33 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 217.94/150.33 | (536) all_212_1_107 = e % 217.94/150.33 | % 217.94/150.33 | From (536) and (6141) follows: % 217.94/150.33 | (6440) mem(all_244_1_1231, e) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 217.94/150.33 | (538) $false % 217.94/150.33 | % 217.94/150.33 |-The branch is then unsatisfiable % 217.94/150.33 |-Branch two: % 217.94/150.33 | (10732) all_428_0_2058 = 0 & mem(all_212_1_107, e) = 0 % 217.94/150.33 | % 217.94/150.33 | Applying alpha-rule on (10732) yields: % 217.94/150.33 | (10727) all_428_0_2058 = 0 % 217.94/150.33 | (541) mem(all_212_1_107, e) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 217.94/150.33 | (538) $false % 217.94/150.33 | % 217.94/150.33 |-The branch is then unsatisfiable % 217.94/150.33 |-Branch two: % 217.94/150.33 | (10645) all_321_0_2009 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 217.94/150.33 | % 217.94/150.33 | Applying alpha-rule on (10645) yields: % 217.94/150.33 | (10639) all_321_0_2009 = 0 % 217.94/150.33 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 217.94/150.33 | % 217.94/150.33 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 217.94/150.33 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 217.94/150.33 | % 217.94/150.33 | Instantiating (1911) with all_400_0_2063 yields: % 217.94/150.33 | (10740) (all_400_0_2063 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_400_0_2063 = 0 & mem(all_110_1_81, e) = 0) % 217.94/150.33 | % 217.94/150.33 +-Applying beta-rule and splitting (10686), into two cases. % 217.94/150.33 |-Branch one: % 217.94/150.34 | (10741) all_329_0_2042 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.94/150.34 | % 217.94/150.34 | Applying alpha-rule on (10741) yields: % 217.94/150.34 | (10742) all_329_0_2042 = 0 % 217.94/150.34 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.94/150.34 | % 217.94/150.34 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.94/150.34 | (7551) all_85_1_73 = e % 217.94/150.34 | % 217.94/150.34 | From (7551) and (184) follows: % 217.94/150.34 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.94/150.34 | % 217.94/150.34 +-Applying beta-rule and splitting (10740), into two cases. % 217.94/150.34 |-Branch one: % 217.94/150.34 | (10746) all_400_0_2063 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 217.94/150.34 | % 217.94/150.34 | Applying alpha-rule on (10746) yields: % 217.94/150.34 | (10747) all_400_0_2063 = 0 % 217.94/150.34 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 217.94/150.34 | % 217.94/150.34 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 217.94/150.34 | (1953) all_110_1_81 = e % 217.94/150.34 | % 217.94/150.34 | From (1953) and (211) follows: % 217.94/150.34 | (7594) mem(e, all_57_1_62) = 0 % 217.94/150.34 | % 217.94/150.34 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 217.94/150.34 | (212) all_85_0_72 = 0 % 217.94/150.34 | % 217.94/150.34 | Equations (212) can reduce 183 to: % 217.94/150.34 | (175) $false % 217.94/150.34 | % 217.94/150.34 |-The branch is then unsatisfiable % 217.94/150.34 |-Branch two: % 217.94/150.34 | (10753) all_400_0_2063 = 0 & mem(all_110_1_81, e) = 0 % 217.94/150.34 | % 217.94/150.34 | Applying alpha-rule on (10753) yields: % 217.94/150.34 | (10747) all_400_0_2063 = 0 % 217.94/150.34 | (1968) mem(all_110_1_81, e) = 0 % 217.94/150.34 | % 217.94/150.34 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 217.94/150.34 | (538) $false % 217.94/150.34 | % 217.94/150.34 |-The branch is then unsatisfiable % 217.94/150.34 |-Branch two: % 217.94/150.34 | (10757) all_329_0_2042 = 0 & mem(all_85_1_73, e) = 0 % 217.94/150.34 | % 217.94/150.34 | Applying alpha-rule on (10757) yields: % 217.94/150.34 | (10742) all_329_0_2042 = 0 % 217.94/150.34 | (7603) mem(all_85_1_73, e) = 0 % 217.94/150.34 | % 217.94/150.34 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 217.94/150.34 | (538) $false % 217.94/150.34 | % 217.94/150.34 |-The branch is then unsatisfiable % 217.94/150.34 |-Branch two: % 217.94/150.34 | (10505) all_305_0_1976 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 217.94/150.34 | % 217.94/150.34 | Applying alpha-rule on (10505) yields: % 217.94/150.34 | (10499) all_305_0_1976 = 0 % 217.94/150.34 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 217.94/150.34 | % 217.94/150.34 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 217.94/150.34 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 217.94/150.34 | % 217.94/150.34 | Instantiating (502) with all_359_0_2069 yields: % 217.94/150.34 | (10765) (all_359_0_2069 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_2069 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 217.94/150.34 | % 217.94/150.34 +-Applying beta-rule and splitting (10583), into two cases. % 217.94/150.34 |-Branch one: % 217.94/150.34 | (10638) all_321_0_2009 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 217.94/150.34 | % 217.94/150.34 | Applying alpha-rule on (10638) yields: % 217.94/150.34 | (10639) all_321_0_2009 = 0 % 217.94/150.34 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 217.94/150.34 | % 217.94/150.34 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 217.94/150.35 | (1884) all_110_1_81 = all_0_6_6 % 217.94/150.35 | % 217.94/150.35 | From (1884) and (210) follows: % 217.94/150.35 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 217.94/150.35 | % 217.94/150.35 +-Applying beta-rule and splitting (10686), into two cases. % 217.94/150.35 |-Branch one: % 217.94/150.35 | (10741) all_329_0_2042 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 217.94/150.35 | % 217.94/150.35 | Applying alpha-rule on (10741) yields: % 217.94/150.35 | (10742) all_329_0_2042 = 0 % 217.94/150.35 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 217.94/150.35 | % 217.94/150.35 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 217.94/150.35 | (7551) all_85_1_73 = e % 217.94/150.35 | % 217.94/150.35 | From (7551) and (184) follows: % 217.94/150.35 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 217.94/150.35 | % 217.94/150.35 +-Applying beta-rule and splitting (10765), into two cases. % 217.94/150.35 |-Branch one: % 217.94/150.35 | (10776) all_359_0_2069 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 217.94/150.35 | % 217.94/150.35 | Applying alpha-rule on (10776) yields: % 217.94/150.35 | (10777) all_359_0_2069 = 0 % 217.94/150.35 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 217.94/150.35 | % 217.94/150.35 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 217.94/150.35 | (551) all_165_2_96 = all_0_6_6 % 217.94/150.35 | % 217.94/150.35 | From (551) and (288) follows: % 217.94/150.35 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 217.94/150.35 | % 217.94/150.35 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 217.94/150.35 | (233) all_110_0_80 = 0 % 217.94/150.35 | % 217.94/150.35 | Equations (233) can reduce 209 to: % 217.94/150.35 | (175) $false % 217.94/150.35 | % 217.94/150.35 |-The branch is then unsatisfiable % 217.94/150.35 |-Branch two: % 217.94/150.35 | (10783) all_359_0_2069 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 217.94/150.35 | % 217.94/150.35 | Applying alpha-rule on (10783) yields: % 218.10/150.35 | (10777) all_359_0_2069 = 0 % 218.10/150.35 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.10/150.35 | % 218.10/150.35 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.10/150.35 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.10/150.35 | % 218.10/150.35 | Instantiating (583) with all_408_0_2074 yields: % 218.10/150.35 | (10787) (all_408_0_2074 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_408_0_2074 = 0 & mem(all_165_2_96, e) = 0) % 218.10/150.35 | % 218.10/150.35 +-Applying beta-rule and splitting (10787), into two cases. % 218.10/150.35 |-Branch one: % 218.10/150.35 | (10788) all_408_0_2074 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.10/150.35 | % 218.10/150.35 | Applying alpha-rule on (10788) yields: % 218.10/150.35 | (10789) all_408_0_2074 = 0 % 218.10/150.35 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.10/150.35 | % 218.10/150.35 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.10/150.35 | (593) all_165_2_96 = e % 218.10/150.35 | % 218.10/150.35 | From (593) and (303) follows: % 218.10/150.35 | (7594) mem(e, all_57_1_62) = 0 % 218.10/150.35 | % 218.10/150.35 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.10/150.35 | (212) all_85_0_72 = 0 % 218.10/150.35 | % 218.10/150.35 | Equations (212) can reduce 183 to: % 218.10/150.35 | (175) $false % 218.10/150.35 | % 218.10/150.35 |-The branch is then unsatisfiable % 218.10/150.35 |-Branch two: % 218.10/150.35 | (10795) all_408_0_2074 = 0 & mem(all_165_2_96, e) = 0 % 218.10/150.35 | % 218.10/150.35 | Applying alpha-rule on (10795) yields: % 218.10/150.35 | (10789) all_408_0_2074 = 0 % 218.10/150.35 | (599) mem(all_165_2_96, e) = 0 % 218.10/150.35 | % 218.10/150.35 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.10/150.35 | (538) $false % 218.10/150.35 | % 218.10/150.35 |-The branch is then unsatisfiable % 218.10/150.35 |-Branch two: % 218.10/150.35 | (10757) all_329_0_2042 = 0 & mem(all_85_1_73, e) = 0 % 218.10/150.35 | % 218.10/150.35 | Applying alpha-rule on (10757) yields: % 218.10/150.35 | (10742) all_329_0_2042 = 0 % 218.10/150.35 | (7603) mem(all_85_1_73, e) = 0 % 218.10/150.35 | % 218.10/150.35 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.10/150.35 | (538) $false % 218.10/150.35 | % 218.10/150.35 |-The branch is then unsatisfiable % 218.10/150.36 |-Branch two: % 218.10/150.36 | (10645) all_321_0_2009 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.10/150.36 | % 218.10/150.36 | Applying alpha-rule on (10645) yields: % 218.10/150.36 | (10639) all_321_0_2009 = 0 % 218.10/150.36 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.10/150.36 | % 218.10/150.36 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.10/150.36 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.10/150.36 | % 218.10/150.36 | Instantiating (1911) with all_385_0_2077 yields: % 218.10/150.36 | (10807) (all_385_0_2077 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_385_0_2077 = 0 & mem(all_110_1_81, e) = 0) % 218.10/150.36 | % 218.10/150.36 +-Applying beta-rule and splitting (10686), into two cases. % 218.10/150.36 |-Branch one: % 218.10/150.36 | (10741) all_329_0_2042 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.10/150.36 | % 218.10/150.36 | Applying alpha-rule on (10741) yields: % 218.10/150.36 | (10742) all_329_0_2042 = 0 % 218.10/150.36 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.10/150.36 | % 218.10/150.36 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.10/150.36 | (7551) all_85_1_73 = e % 218.10/150.36 | % 218.10/150.36 | From (7551) and (184) follows: % 218.10/150.36 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.10/150.36 | % 218.10/150.36 +-Applying beta-rule and splitting (10807), into two cases. % 218.10/150.36 |-Branch one: % 218.10/150.36 | (10813) all_385_0_2077 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.10/150.36 | % 218.10/150.36 | Applying alpha-rule on (10813) yields: % 218.10/150.36 | (10814) all_385_0_2077 = 0 % 218.10/150.36 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.10/150.36 | % 218.10/150.36 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.10/150.36 | (1953) all_110_1_81 = e % 218.10/150.36 | % 218.10/150.36 | From (1953) and (211) follows: % 218.10/150.36 | (7594) mem(e, all_57_1_62) = 0 % 218.10/150.36 | % 218.10/150.36 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.10/150.36 | (212) all_85_0_72 = 0 % 218.10/150.36 | % 218.10/150.36 | Equations (212) can reduce 183 to: % 218.10/150.36 | (175) $false % 218.10/150.36 | % 218.10/150.36 |-The branch is then unsatisfiable % 218.10/150.36 |-Branch two: % 218.10/150.36 | (10820) all_385_0_2077 = 0 & mem(all_110_1_81, e) = 0 % 218.10/150.36 | % 218.10/150.36 | Applying alpha-rule on (10820) yields: % 218.10/150.36 | (10814) all_385_0_2077 = 0 % 218.10/150.36 | (1968) mem(all_110_1_81, e) = 0 % 218.10/150.36 | % 218.10/150.36 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.10/150.36 | (538) $false % 218.10/150.36 | % 218.10/150.36 |-The branch is then unsatisfiable % 218.10/150.36 |-Branch two: % 218.10/150.36 | (10757) all_329_0_2042 = 0 & mem(all_85_1_73, e) = 0 % 218.10/150.36 | % 218.10/150.36 | Applying alpha-rule on (10757) yields: % 218.10/150.36 | (10742) all_329_0_2042 = 0 % 218.10/150.36 | (7603) mem(all_85_1_73, e) = 0 % 218.10/150.36 | % 218.10/150.36 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.10/150.36 | (538) $false % 218.10/150.36 | % 218.10/150.36 |-The branch is then unsatisfiable % 218.10/150.37 |-Branch two: % 218.10/150.37 | (6234) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 218.10/150.37 | % 218.10/150.37 | Applying alpha-rule on (6234) yields: % 218.10/150.37 | (6168) all_252_0_1232 = 0 % 218.10/150.37 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 218.10/150.37 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 218.10/150.37 | % 218.10/150.37 | Instantiating (401) with all_297_0_2087 yields: % 218.10/150.37 | (10832) (all_297_0_2087 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_297_0_2087 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 218.10/150.37 | % 218.10/150.37 +-Applying beta-rule and splitting (6149), into two cases. % 218.10/150.37 |-Branch one: % 218.10/150.37 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 218.10/150.37 | % 218.10/150.37 | Applying alpha-rule on (6239) yields: % 218.10/150.37 | (6240) all_259_0_1233 = 0 % 218.10/150.37 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 218.10/150.37 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 218.10/150.37 | % 218.10/150.37 | Instantiating (406) with all_305_0_2088 yields: % 218.10/150.37 | (10837) (all_305_0_2088 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_305_0_2088 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 218.10/150.37 | % 218.10/150.37 +-Applying beta-rule and splitting (6151), into two cases. % 218.10/150.37 |-Branch one: % 218.10/150.37 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 218.10/150.37 | % 218.10/150.37 | Applying alpha-rule on (6311) yields: % 218.10/150.37 | (6312) all_265_0_1234 = 0 % 218.10/150.37 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 218.10/150.37 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 218.10/150.37 | % 218.10/150.37 | Instantiating (442) with all_313_0_2089 yields: % 218.10/150.37 | (10842) (all_313_0_2089 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_313_0_2089 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 218.10/150.37 | % 218.10/150.37 +-Applying beta-rule and splitting (10299), into two cases. % 218.10/150.37 |-Branch one: % 218.10/150.37 | (10310) all_289_0_1972 = 0 & mem(all_135_1_87, all_72_0_67) = 0 % 218.10/150.37 | % 218.10/150.37 | Applying alpha-rule on (10310) yields: % 218.10/150.37 | (10311) all_289_0_1972 = 0 % 218.10/150.37 | (350) mem(all_135_1_87, all_72_0_67) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_135_1_87 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_135_1_87, all_72_0_67) = 0, yields: % 218.10/150.37 | (351) all_135_1_87 = all_0_2_2 % 218.10/150.37 | % 218.10/150.37 | From (351) and (231) follows: % 218.10/150.37 | (3875) mem(all_0_2_2, all_99_1_77) = all_135_0_86 % 218.10/150.37 | % 218.10/150.37 +-Applying beta-rule and splitting (10837), into two cases. % 218.10/150.37 |-Branch one: % 218.10/150.37 | (10848) all_305_0_2088 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 218.10/150.37 | % 218.10/150.37 | Applying alpha-rule on (10848) yields: % 218.10/150.37 | (10849) all_305_0_2088 = 0 % 218.10/150.37 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 218.10/150.37 | (423) all_165_2_96 = all_0_2_2 % 218.10/150.37 | % 218.10/150.37 | From (423) and (268) follows: % 218.10/150.37 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 218.10/150.37 | (261) all_135_0_86 = 0 % 218.10/150.37 | % 218.10/150.37 | Equations (261) can reduce 230 to: % 218.10/150.37 | (175) $false % 218.10/150.37 | % 218.10/150.37 |-The branch is then unsatisfiable % 218.10/150.37 |-Branch two: % 218.10/150.37 | (10855) all_305_0_2088 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 218.10/150.37 | % 218.10/150.37 | Applying alpha-rule on (10855) yields: % 218.10/150.37 | (10849) all_305_0_2088 = 0 % 218.10/150.37 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 218.10/150.37 | (430) all_165_2_96 = all_0_3_3 % 218.10/150.37 | % 218.10/150.37 | From (430) and (6142) follows: % 218.10/150.37 | (6818) mem(all_244_1_1231, all_0_3_3) = all_244_0_1230 % 218.10/150.37 | % 218.10/150.37 +-Applying beta-rule and splitting (10842), into two cases. % 218.10/150.37 |-Branch one: % 218.10/150.37 | (10860) all_313_0_2089 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 218.10/150.37 | % 218.10/150.37 | Applying alpha-rule on (10860) yields: % 218.10/150.37 | (10861) all_313_0_2089 = 0 % 218.10/150.37 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 218.10/150.37 | (459) all_212_1_107 = all_0_2_2 % 218.10/150.37 | % 218.10/150.37 | From (459) and (286) follows: % 218.10/150.37 | (3880) mem(all_0_2_2, all_99_1_77) = 0 % 218.10/150.37 | % 218.10/150.37 | Instantiating formula (65) with all_0_2_2, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_2_2, all_99_1_77) = all_135_0_86, mem(all_0_2_2, all_99_1_77) = 0, yields: % 218.10/150.37 | (261) all_135_0_86 = 0 % 218.10/150.37 | % 218.10/150.37 | Equations (261) can reduce 230 to: % 218.10/150.37 | (175) $false % 218.10/150.37 | % 218.10/150.37 |-The branch is then unsatisfiable % 218.10/150.37 |-Branch two: % 218.10/150.38 | (10867) all_313_0_2089 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 218.10/150.38 | % 218.10/150.38 | Applying alpha-rule on (10867) yields: % 218.10/150.38 | (10861) all_313_0_2089 = 0 % 218.10/150.38 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 218.10/150.38 | % 218.10/150.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 218.10/150.38 | (466) all_212_1_107 = all_0_3_3 % 218.10/150.38 | % 218.10/150.38 | From (466) and (6141) follows: % 218.10/150.38 | (6830) mem(all_244_1_1231, all_0_3_3) = 0 % 218.10/150.38 | % 218.10/150.38 | Instantiating formula (65) with all_244_1_1231, all_0_3_3, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_3_3) = all_244_0_1230, mem(all_244_1_1231, all_0_3_3) = 0, yields: % 218.10/150.38 | (6460) all_244_0_1230 = 0 % 218.10/150.38 | % 218.10/150.38 | Equations (6460) can reduce 6140 to: % 218.10/150.38 | (175) $false % 218.10/150.38 | % 218.10/150.38 |-The branch is then unsatisfiable % 218.10/150.38 |-Branch two: % 218.10/150.38 | (10341) all_289_0_1972 = 0 & mem(all_135_1_87, all_0_2_2) = 0 % 218.10/150.38 | % 218.10/150.38 | Applying alpha-rule on (10341) yields: % 218.16/150.38 | (10311) all_289_0_1972 = 0 % 218.16/150.38 | (357) mem(all_135_1_87, all_0_2_2) = 0 % 218.16/150.38 | % 218.16/150.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_135_1_87 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_135_1_87, all_0_2_2) = 0, yields: % 218.16/150.38 | (358) all_135_1_87 = all_0_3_3 % 218.16/150.38 | % 218.16/150.38 | From (358) and (231) follows: % 218.16/150.38 | (1625) mem(all_0_3_3, all_99_1_77) = all_135_0_86 % 218.16/150.38 | % 218.16/150.38 +-Applying beta-rule and splitting (10837), into two cases. % 218.16/150.38 |-Branch one: % 218.16/150.38 | (10848) all_305_0_2088 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 218.16/150.38 | % 218.16/150.38 | Applying alpha-rule on (10848) yields: % 218.16/150.38 | (10849) all_305_0_2088 = 0 % 218.16/150.38 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 218.16/150.38 | % 218.16/150.38 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 218.16/150.38 | (423) all_165_2_96 = all_0_2_2 % 218.16/150.38 | % 218.16/150.38 | From (423) and (6142) follows: % 218.16/150.38 | (6842) mem(all_244_1_1231, all_0_2_2) = all_244_0_1230 % 218.16/150.38 | % 218.16/150.38 +-Applying beta-rule and splitting (10842), into two cases. % 218.16/150.38 |-Branch one: % 218.16/150.38 | (10860) all_313_0_2089 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 218.16/150.38 | % 218.16/150.38 | Applying alpha-rule on (10860) yields: % 218.16/150.38 | (10861) all_313_0_2089 = 0 % 218.16/150.38 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 218.16/150.38 | % 218.16/150.38 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 218.16/150.38 | (459) all_212_1_107 = all_0_2_2 % 218.16/150.38 | % 218.16/150.38 | From (459) and (6141) follows: % 218.16/150.38 | (6847) mem(all_244_1_1231, all_0_2_2) = 0 % 218.16/150.38 | % 218.16/150.38 | Instantiating formula (65) with all_244_1_1231, all_0_2_2, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_2_2) = all_244_0_1230, mem(all_244_1_1231, all_0_2_2) = 0, yields: % 218.16/150.38 | (6460) all_244_0_1230 = 0 % 218.16/150.38 | % 218.16/150.38 | Equations (6460) can reduce 6140 to: % 218.16/150.38 | (175) $false % 218.16/150.38 | % 218.16/150.38 |-The branch is then unsatisfiable % 218.16/150.38 |-Branch two: % 218.16/150.38 | (10867) all_313_0_2089 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 218.16/150.38 | % 218.16/150.38 | Applying alpha-rule on (10867) yields: % 218.16/150.38 | (10861) all_313_0_2089 = 0 % 218.16/150.38 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 218.16/150.38 | % 218.16/150.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 218.16/150.38 | (466) all_212_1_107 = all_0_3_3 % 218.16/150.38 | % 218.16/150.38 | From (466) and (286) follows: % 218.16/150.38 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 218.16/150.38 | % 218.16/150.38 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 218.16/150.38 | (261) all_135_0_86 = 0 % 218.16/150.38 | % 218.16/150.38 | Equations (261) can reduce 230 to: % 218.16/150.38 | (175) $false % 218.16/150.38 | % 218.16/150.38 |-The branch is then unsatisfiable % 218.16/150.38 |-Branch two: % 218.16/150.38 | (10855) all_305_0_2088 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 218.16/150.38 | % 218.16/150.38 | Applying alpha-rule on (10855) yields: % 218.16/150.38 | (10849) all_305_0_2088 = 0 % 218.16/150.38 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 218.16/150.38 | % 218.16/150.38 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 218.16/150.39 | (430) all_165_2_96 = all_0_3_3 % 218.16/150.39 | % 218.16/150.39 | From (430) and (268) follows: % 218.16/150.39 | (1637) mem(all_0_3_3, all_99_1_77) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (65) with all_0_3_3, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_3_3, all_99_1_77) = all_135_0_86, mem(all_0_3_3, all_99_1_77) = 0, yields: % 218.16/150.39 | (261) all_135_0_86 = 0 % 218.16/150.39 | % 218.16/150.39 | Equations (261) can reduce 230 to: % 218.16/150.39 | (175) $false % 218.16/150.39 | % 218.16/150.39 |-The branch is then unsatisfiable % 218.16/150.39 |-Branch two: % 218.16/150.39 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 218.16/150.39 | % 218.16/150.39 | Applying alpha-rule on (6378) yields: % 218.16/150.39 | (6312) all_265_0_1234 = 0 % 218.16/150.39 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 218.16/150.39 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 218.16/150.39 | % 218.16/150.39 | Instantiating (473) with all_313_0_2100 yields: % 218.16/150.39 | (10909) (all_313_0_2100 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_313_0_2100 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 218.16/150.39 | % 218.16/150.39 +-Applying beta-rule and splitting (9125), into two cases. % 218.16/150.39 |-Branch one: % 218.16/150.39 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 218.16/150.39 | % 218.16/150.39 | Applying alpha-rule on (9285) yields: % 218.16/150.39 | (9286) all_273_0_1800 = 0 % 218.16/150.39 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 218.16/150.39 | (1720) all_110_1_81 = all_0_5_5 % 218.16/150.39 | % 218.16/150.39 | From (1720) and (210) follows: % 218.16/150.39 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 218.16/150.39 | % 218.16/150.39 +-Applying beta-rule and splitting (10294), into two cases. % 218.16/150.39 |-Branch one: % 218.16/150.39 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.16/150.39 | % 218.16/150.39 | Applying alpha-rule on (10454) yields: % 218.16/150.39 | (10455) all_281_0_1971 = 0 % 218.16/150.39 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.16/150.39 | (7375) all_85_1_73 = all_0_6_6 % 218.16/150.39 | % 218.16/150.39 | From (7375) and (184) follows: % 218.16/150.39 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.16/150.39 | % 218.16/150.39 +-Applying beta-rule and splitting (10909), into two cases. % 218.16/150.39 |-Branch one: % 218.16/150.39 | (10920) all_313_0_2100 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 218.16/150.39 | % 218.16/150.39 | Applying alpha-rule on (10920) yields: % 218.16/150.39 | (10921) all_313_0_2100 = 0 % 218.16/150.39 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 218.16/150.39 | (507) all_212_1_107 = all_0_5_5 % 218.16/150.39 | % 218.16/150.39 | From (507) and (301) follows: % 218.16/150.39 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.16/150.39 | (233) all_110_0_80 = 0 % 218.16/150.39 | % 218.16/150.39 | Equations (233) can reduce 209 to: % 218.16/150.39 | (175) $false % 218.16/150.39 | % 218.16/150.39 |-The branch is then unsatisfiable % 218.16/150.39 |-Branch two: % 218.16/150.39 | (10927) all_313_0_2100 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 218.16/150.39 | % 218.16/150.39 | Applying alpha-rule on (10927) yields: % 218.16/150.39 | (10921) all_313_0_2100 = 0 % 218.16/150.39 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 218.16/150.39 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 218.16/150.39 | % 218.16/150.39 | Instantiating (514) with all_379_0_2106 yields: % 218.16/150.39 | (10931) (all_379_0_2106 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_379_0_2106 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 218.16/150.39 | % 218.16/150.39 +-Applying beta-rule and splitting (10931), into two cases. % 218.16/150.39 |-Branch one: % 218.16/150.39 | (10932) all_379_0_2106 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 218.16/150.39 | % 218.16/150.39 | Applying alpha-rule on (10932) yields: % 218.16/150.39 | (10933) all_379_0_2106 = 0 % 218.16/150.39 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 218.16/150.39 | (524) all_212_1_107 = all_0_6_6 % 218.16/150.39 | % 218.16/150.39 | From (524) and (312) follows: % 218.16/150.39 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.16/150.39 | % 218.16/150.39 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.16/150.39 | (212) all_85_0_72 = 0 % 218.16/150.39 | % 218.16/150.39 | Equations (212) can reduce 183 to: % 218.16/150.39 | (175) $false % 218.16/150.39 | % 218.16/150.39 |-The branch is then unsatisfiable % 218.16/150.40 |-Branch two: % 218.16/150.40 | (10939) all_379_0_2106 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 218.16/150.40 | % 218.16/150.40 | Applying alpha-rule on (10939) yields: % 218.16/150.40 | (10933) all_379_0_2106 = 0 % 218.16/150.40 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 218.16/150.40 | % 218.16/150.40 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 218.16/150.40 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 218.16/150.40 | % 218.16/150.40 | Instantiating (531) with all_395_0_2108 yields: % 218.16/150.40 | (10943) (all_395_0_2108 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_2108 = 0 & mem(all_212_1_107, e) = 0) % 218.16/150.40 | % 218.16/150.40 +-Applying beta-rule and splitting (10943), into two cases. % 218.16/150.40 |-Branch one: % 218.16/150.40 | (10944) all_395_0_2108 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 218.16/150.40 | % 218.16/150.40 | Applying alpha-rule on (10944) yields: % 218.16/150.40 | (10945) all_395_0_2108 = 0 % 218.16/150.40 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 218.16/150.40 | % 218.16/150.40 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 218.16/150.40 | (536) all_212_1_107 = e % 218.16/150.40 | % 218.16/150.40 | From (536) and (6141) follows: % 218.16/150.40 | (6440) mem(all_244_1_1231, e) = 0 % 218.16/150.40 | % 218.16/150.40 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 218.16/150.40 | (538) $false % 218.16/150.40 | % 218.16/150.40 |-The branch is then unsatisfiable % 218.16/150.40 |-Branch two: % 218.16/150.40 | (10950) all_395_0_2108 = 0 & mem(all_212_1_107, e) = 0 % 218.16/150.40 | % 218.16/150.40 | Applying alpha-rule on (10950) yields: % 218.16/150.40 | (10945) all_395_0_2108 = 0 % 218.16/150.40 | (541) mem(all_212_1_107, e) = 0 % 218.16/150.40 | % 218.16/150.40 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 218.16/150.40 | (538) $false % 218.16/150.40 | % 218.16/150.40 |-The branch is then unsatisfiable % 218.16/150.40 |-Branch two: % 218.16/150.40 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.16/150.40 | % 218.16/150.40 | Applying alpha-rule on (10493) yields: % 218.16/150.40 | (10455) all_281_0_1971 = 0 % 218.16/150.40 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.16/150.40 | % 218.16/150.40 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.16/150.40 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.16/150.40 | % 218.16/150.40 | Instantiating (7517) with all_332_0_2109 yields: % 218.16/150.40 | (10958) (all_332_0_2109 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_2109 = 0 & mem(all_85_1_73, e) = 0) % 218.16/150.40 | % 218.16/150.40 +-Applying beta-rule and splitting (10832), into two cases. % 218.16/150.40 |-Branch one: % 218.16/150.40 | (10959) all_297_0_2087 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.16/150.40 | % 218.16/150.40 | Applying alpha-rule on (10959) yields: % 218.16/150.40 | (10960) all_297_0_2087 = 0 % 218.16/150.40 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.16/150.40 | % 218.16/150.40 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.16/150.40 | (483) all_181_1_101 = all_0_5_5 % 218.16/150.40 | % 218.16/150.40 | From (483) and (267) follows: % 218.16/150.40 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.16/150.40 | % 218.16/150.40 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.16/150.40 | (233) all_110_0_80 = 0 % 218.16/150.40 | % 218.16/150.40 | Equations (233) can reduce 209 to: % 218.16/150.40 | (175) $false % 218.16/150.40 | % 218.16/150.40 |-The branch is then unsatisfiable % 218.16/150.40 |-Branch two: % 218.16/150.40 | (10966) all_297_0_2087 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.16/150.40 | % 218.16/150.40 | Applying alpha-rule on (10966) yields: % 218.16/150.40 | (10960) all_297_0_2087 = 0 % 218.16/150.40 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.16/150.40 | % 218.16/150.40 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.16/150.40 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.16/150.40 | % 218.16/150.40 | Instantiating (490) with all_351_0_2110 yields: % 218.16/150.41 | (10970) (all_351_0_2110 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_2110 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.16/150.41 | % 218.16/150.41 +-Applying beta-rule and splitting (10909), into two cases. % 218.16/150.41 |-Branch one: % 218.16/150.41 | (10920) all_313_0_2100 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 218.16/150.41 | % 218.16/150.41 | Applying alpha-rule on (10920) yields: % 218.16/150.41 | (10921) all_313_0_2100 = 0 % 218.16/150.41 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 218.16/150.41 | % 218.16/150.41 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 218.16/150.41 | (507) all_212_1_107 = all_0_5_5 % 218.16/150.41 | % 218.16/150.41 | From (507) and (301) follows: % 218.16/150.41 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.16/150.41 | % 218.16/150.41 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.16/150.41 | (233) all_110_0_80 = 0 % 218.16/150.41 | % 218.16/150.41 | Equations (233) can reduce 209 to: % 218.16/150.41 | (175) $false % 218.16/150.41 | % 218.16/150.41 |-The branch is then unsatisfiable % 218.16/150.41 |-Branch two: % 218.16/150.41 | (10927) all_313_0_2100 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 218.16/150.41 | % 218.16/150.41 | Applying alpha-rule on (10927) yields: % 218.16/150.41 | (10921) all_313_0_2100 = 0 % 218.16/150.41 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 218.16/150.41 | % 218.16/150.41 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 218.16/150.41 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 218.16/150.41 | % 218.16/150.41 | Instantiating (514) with all_376_0_2115 yields: % 218.16/150.41 | (10982) (all_376_0_2115 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_376_0_2115 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 218.16/150.41 | % 218.16/150.41 +-Applying beta-rule and splitting (10958), into two cases. % 218.16/150.41 |-Branch one: % 218.16/150.41 | (10983) all_332_0_2109 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.16/150.41 | % 218.16/150.41 | Applying alpha-rule on (10983) yields: % 218.16/150.41 | (10984) all_332_0_2109 = 0 % 218.16/150.41 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.16/150.41 | % 218.16/150.41 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.16/150.41 | (7551) all_85_1_73 = e % 218.16/150.41 | % 218.16/150.41 | From (7551) and (184) follows: % 218.16/150.41 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.16/150.41 | % 218.16/150.41 +-Applying beta-rule and splitting (10970), into two cases. % 218.16/150.41 |-Branch one: % 218.16/150.41 | (10988) all_351_0_2110 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.16/150.41 | % 218.16/150.41 | Applying alpha-rule on (10988) yields: % 218.16/150.41 | (10989) all_351_0_2110 = 0 % 218.16/150.41 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.16/150.41 | % 218.16/150.41 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.16/150.41 | (519) all_181_1_101 = all_0_6_6 % 218.16/150.41 | % 218.16/150.41 | From (519) and (259) follows: % 218.16/150.41 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 218.16/150.41 | % 218.16/150.41 +-Applying beta-rule and splitting (10982), into two cases. % 218.16/150.41 |-Branch one: % 218.16/150.41 | (10993) all_376_0_2115 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 218.16/150.41 | % 218.16/150.41 | Applying alpha-rule on (10993) yields: % 218.16/150.41 | (10994) all_376_0_2115 = 0 % 218.16/150.41 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 218.16/150.41 | % 218.16/150.41 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 218.16/150.41 | (524) all_212_1_107 = all_0_6_6 % 218.16/150.41 | % 218.16/150.41 | From (524) and (281) follows: % 218.16/150.41 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 218.16/150.41 | % 218.16/150.41 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 218.16/150.41 | (526) all_181_0_100 = 0 % 218.16/150.41 | % 218.16/150.41 | Equations (526) can reduce 258 to: % 218.16/150.41 | (175) $false % 218.16/150.41 | % 218.16/150.41 |-The branch is then unsatisfiable % 218.16/150.41 |-Branch two: % 218.16/150.41 | (11000) all_376_0_2115 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 218.16/150.41 | % 218.16/150.41 | Applying alpha-rule on (11000) yields: % 218.16/150.41 | (10994) all_376_0_2115 = 0 % 218.16/150.41 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 218.16/150.41 | % 218.16/150.41 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 218.16/150.41 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 218.16/150.41 | % 218.16/150.41 | Instantiating (531) with all_406_0_2116 yields: % 218.16/150.41 | (11004) (all_406_0_2116 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_406_0_2116 = 0 & mem(all_212_1_107, e) = 0) % 218.16/150.41 | % 218.16/150.41 +-Applying beta-rule and splitting (11004), into two cases. % 218.16/150.41 |-Branch one: % 218.16/150.41 | (11005) all_406_0_2116 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 218.16/150.41 | % 218.16/150.41 | Applying alpha-rule on (11005) yields: % 218.16/150.42 | (11006) all_406_0_2116 = 0 % 218.16/150.42 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 218.16/150.42 | % 218.16/150.42 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 218.16/150.42 | (536) all_212_1_107 = e % 218.16/150.42 | % 218.16/150.42 | From (536) and (6141) follows: % 218.16/150.42 | (6440) mem(all_244_1_1231, e) = 0 % 218.16/150.42 | % 218.16/150.42 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 218.16/150.42 | (538) $false % 218.16/150.42 | % 218.16/150.42 |-The branch is then unsatisfiable % 218.16/150.42 |-Branch two: % 218.16/150.42 | (11011) all_406_0_2116 = 0 & mem(all_212_1_107, e) = 0 % 218.16/150.42 | % 218.16/150.42 | Applying alpha-rule on (11011) yields: % 218.16/150.42 | (11006) all_406_0_2116 = 0 % 218.16/150.42 | (541) mem(all_212_1_107, e) = 0 % 218.16/150.42 | % 218.16/150.42 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 218.16/150.42 | (538) $false % 218.16/150.42 | % 218.16/150.42 |-The branch is then unsatisfiable % 218.16/150.42 |-Branch two: % 218.16/150.42 | (11015) all_351_0_2110 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.16/150.42 | % 218.16/150.42 | Applying alpha-rule on (11015) yields: % 218.16/150.42 | (10989) all_351_0_2110 = 0 % 218.16/150.42 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.16/150.42 | % 218.16/150.42 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.16/150.42 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.16/150.42 | % 218.16/150.42 | Instantiating (546) with all_395_0_2117 yields: % 218.16/150.42 | (11019) (all_395_0_2117 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_395_0_2117 = 0 & mem(all_181_1_101, e) = 0) % 218.16/150.42 | % 218.16/150.42 +-Applying beta-rule and splitting (11019), into two cases. % 218.16/150.42 |-Branch one: % 218.16/150.42 | (11020) all_395_0_2117 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.16/150.42 | % 218.16/150.42 | Applying alpha-rule on (11020) yields: % 218.16/150.42 | (11021) all_395_0_2117 = 0 % 218.16/150.42 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.16/150.42 | % 218.16/150.42 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.16/150.42 | (588) all_181_1_101 = e % 218.16/150.42 | % 218.16/150.42 | From (588) and (287) follows: % 218.16/150.42 | (7594) mem(e, all_57_1_62) = 0 % 218.16/150.42 | % 218.16/150.42 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.16/150.42 | (212) all_85_0_72 = 0 % 218.16/150.42 | % 218.16/150.42 | Equations (212) can reduce 183 to: % 218.16/150.42 | (175) $false % 218.16/150.42 | % 218.16/150.42 |-The branch is then unsatisfiable % 218.16/150.42 |-Branch two: % 218.16/150.42 | (11027) all_395_0_2117 = 0 & mem(all_181_1_101, e) = 0 % 218.16/150.42 | % 218.16/150.42 | Applying alpha-rule on (11027) yields: % 218.16/150.42 | (11021) all_395_0_2117 = 0 % 218.16/150.42 | (603) mem(all_181_1_101, e) = 0 % 218.16/150.42 | % 218.16/150.42 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.16/150.42 | (538) $false % 218.16/150.42 | % 218.16/150.42 |-The branch is then unsatisfiable % 218.16/150.42 |-Branch two: % 218.16/150.42 | (11031) all_332_0_2109 = 0 & mem(all_85_1_73, e) = 0 % 218.16/150.42 | % 218.16/150.42 | Applying alpha-rule on (11031) yields: % 218.16/150.42 | (10984) all_332_0_2109 = 0 % 218.16/150.42 | (7603) mem(all_85_1_73, e) = 0 % 218.16/150.42 | % 218.16/150.42 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.16/150.42 | (538) $false % 218.16/150.42 | % 218.16/150.42 |-The branch is then unsatisfiable % 218.16/150.43 |-Branch two: % 218.16/150.43 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 218.16/150.43 | % 218.16/150.43 | Applying alpha-rule on (9292) yields: % 218.16/150.43 | (9286) all_273_0_1800 = 0 % 218.16/150.43 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 218.16/150.43 | % 218.16/150.43 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 218.16/150.43 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 218.16/150.43 | % 218.16/150.43 | Instantiating (1850) with all_321_0_2124 yields: % 218.16/150.43 | (11039) (all_321_0_2124 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_321_0_2124 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 218.16/150.43 | % 218.16/150.43 +-Applying beta-rule and splitting (10294), into two cases. % 218.16/150.43 |-Branch one: % 218.16/150.43 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.16/150.43 | % 218.16/150.43 | Applying alpha-rule on (10454) yields: % 218.16/150.43 | (10455) all_281_0_1971 = 0 % 218.16/150.43 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.16/150.43 | % 218.16/150.43 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.16/150.43 | (7375) all_85_1_73 = all_0_6_6 % 218.16/150.43 | % 218.16/150.43 | From (7375) and (184) follows: % 218.16/150.43 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.16/150.43 | % 218.16/150.43 +-Applying beta-rule and splitting (10832), into two cases. % 218.16/150.43 |-Branch one: % 218.16/150.43 | (10959) all_297_0_2087 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.16/150.43 | % 218.16/150.43 | Applying alpha-rule on (10959) yields: % 218.16/150.43 | (10960) all_297_0_2087 = 0 % 218.16/150.43 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.16/150.43 | % 218.16/150.43 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.16/150.43 | (483) all_181_1_101 = all_0_5_5 % 218.16/150.43 | % 218.16/150.43 | From (483) and (259) follows: % 218.16/150.43 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 218.16/150.43 | % 218.16/150.43 +-Applying beta-rule and splitting (10909), into two cases. % 218.16/150.43 |-Branch one: % 218.16/150.43 | (10920) all_313_0_2100 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 218.16/150.43 | % 218.16/150.43 | Applying alpha-rule on (10920) yields: % 218.16/150.43 | (10921) all_313_0_2100 = 0 % 218.16/150.43 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 218.16/150.43 | % 218.16/150.43 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 218.16/150.43 | (507) all_212_1_107 = all_0_5_5 % 218.16/150.43 | % 218.16/150.43 | From (507) and (281) follows: % 218.16/150.43 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 218.16/150.43 | % 218.16/150.43 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 218.16/150.43 | (526) all_181_0_100 = 0 % 218.16/150.43 | % 218.16/150.43 | Equations (526) can reduce 258 to: % 218.16/150.43 | (175) $false % 218.16/150.43 | % 218.16/150.43 |-The branch is then unsatisfiable % 218.16/150.43 |-Branch two: % 218.16/150.43 | (10927) all_313_0_2100 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 218.16/150.43 | % 218.16/150.43 | Applying alpha-rule on (10927) yields: % 218.16/150.43 | (10921) all_313_0_2100 = 0 % 218.16/150.43 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 218.16/150.43 | % 218.16/150.43 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 218.16/150.43 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 218.16/150.43 | % 218.16/150.43 | Instantiating (514) with all_379_0_2129 yields: % 218.16/150.43 | (11061) (all_379_0_2129 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_379_0_2129 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 218.16/150.43 | % 218.16/150.43 +-Applying beta-rule and splitting (11061), into two cases. % 218.16/150.43 |-Branch one: % 218.16/150.43 | (11062) all_379_0_2129 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 218.16/150.43 | % 218.16/150.43 | Applying alpha-rule on (11062) yields: % 218.16/150.43 | (11063) all_379_0_2129 = 0 % 218.16/150.43 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 218.16/150.43 | % 218.16/150.43 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 218.16/150.43 | (524) all_212_1_107 = all_0_6_6 % 218.16/150.43 | % 218.16/150.43 | From (524) and (312) follows: % 218.16/150.43 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.16/150.43 | % 218.16/150.43 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.16/150.43 | (212) all_85_0_72 = 0 % 218.16/150.43 | % 218.16/150.43 | Equations (212) can reduce 183 to: % 218.16/150.43 | (175) $false % 218.16/150.43 | % 218.16/150.43 |-The branch is then unsatisfiable % 218.16/150.43 |-Branch two: % 218.16/150.43 | (11069) all_379_0_2129 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 218.16/150.43 | % 218.16/150.43 | Applying alpha-rule on (11069) yields: % 218.16/150.44 | (11063) all_379_0_2129 = 0 % 218.16/150.44 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 218.16/150.44 | % 218.16/150.44 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 218.16/150.44 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 218.16/150.44 | % 218.16/150.44 | Instantiating (531) with all_395_0_2131 yields: % 218.27/150.44 | (11073) (all_395_0_2131 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_2131 = 0 & mem(all_212_1_107, e) = 0) % 218.27/150.44 | % 218.27/150.44 +-Applying beta-rule and splitting (11073), into two cases. % 218.27/150.44 |-Branch one: % 218.27/150.44 | (11074) all_395_0_2131 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 218.27/150.44 | % 218.27/150.44 | Applying alpha-rule on (11074) yields: % 218.27/150.44 | (11075) all_395_0_2131 = 0 % 218.27/150.44 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 218.27/150.44 | % 218.27/150.44 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 218.27/150.44 | (536) all_212_1_107 = e % 218.27/150.44 | % 218.27/150.44 | From (536) and (6141) follows: % 218.27/150.44 | (6440) mem(all_244_1_1231, e) = 0 % 218.27/150.44 | % 218.27/150.44 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 218.27/150.44 | (538) $false % 218.27/150.44 | % 218.27/150.44 |-The branch is then unsatisfiable % 218.27/150.44 |-Branch two: % 218.27/150.44 | (11080) all_395_0_2131 = 0 & mem(all_212_1_107, e) = 0 % 218.27/150.44 | % 218.27/150.44 | Applying alpha-rule on (11080) yields: % 218.27/150.44 | (11075) all_395_0_2131 = 0 % 218.27/150.44 | (541) mem(all_212_1_107, e) = 0 % 218.27/150.44 | % 218.27/150.44 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 218.27/150.44 | (538) $false % 218.27/150.44 | % 218.27/150.44 |-The branch is then unsatisfiable % 218.27/150.44 |-Branch two: % 218.27/150.44 | (10966) all_297_0_2087 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.27/150.44 | % 218.27/150.44 | Applying alpha-rule on (10966) yields: % 218.27/150.44 | (10960) all_297_0_2087 = 0 % 218.27/150.44 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.27/150.44 | % 218.27/150.44 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.27/150.44 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.27/150.44 | % 218.27/150.44 | Instantiating (490) with all_351_0_2132 yields: % 218.27/150.44 | (11088) (all_351_0_2132 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_2132 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.27/150.44 | % 218.27/150.44 +-Applying beta-rule and splitting (11039), into two cases. % 218.27/150.44 |-Branch one: % 218.27/150.44 | (11089) all_321_0_2124 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.27/150.44 | % 218.27/150.44 | Applying alpha-rule on (11089) yields: % 218.27/150.44 | (11090) all_321_0_2124 = 0 % 218.27/150.44 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.27/150.44 | % 218.27/150.44 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.27/150.44 | (1884) all_110_1_81 = all_0_6_6 % 218.27/150.44 | % 218.27/150.44 | From (1884) and (211) follows: % 218.27/150.44 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.27/150.44 | % 218.27/150.44 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.27/150.44 | (212) all_85_0_72 = 0 % 218.27/150.44 | % 218.27/150.44 | Equations (212) can reduce 183 to: % 218.27/150.44 | (175) $false % 218.27/150.44 | % 218.27/150.44 |-The branch is then unsatisfiable % 218.27/150.44 |-Branch two: % 218.27/150.44 | (11096) all_321_0_2124 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.27/150.44 | % 218.27/150.44 | Applying alpha-rule on (11096) yields: % 218.27/150.44 | (11090) all_321_0_2124 = 0 % 218.27/150.44 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.27/150.44 | % 218.27/150.44 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.27/150.44 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.27/150.44 | % 218.27/150.44 | Instantiating (1911) with all_402_0_2153 yields: % 218.27/150.44 | (11100) (all_402_0_2153 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_402_0_2153 = 0 & mem(all_110_1_81, e) = 0) % 218.27/150.44 | % 218.27/150.44 +-Applying beta-rule and splitting (11088), into two cases. % 218.27/150.44 |-Branch one: % 218.27/150.45 | (11101) all_351_0_2132 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.27/150.45 | % 218.27/150.45 | Applying alpha-rule on (11101) yields: % 218.27/150.45 | (11102) all_351_0_2132 = 0 % 218.27/150.45 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.27/150.45 | % 218.27/150.45 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.27/150.45 | (519) all_181_1_101 = all_0_6_6 % 218.27/150.45 | % 218.27/150.45 | From (519) and (287) follows: % 218.27/150.45 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.27/150.45 | % 218.27/150.45 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.27/150.45 | (212) all_85_0_72 = 0 % 218.27/150.45 | % 218.27/150.45 | Equations (212) can reduce 183 to: % 218.27/150.45 | (175) $false % 218.27/150.45 | % 218.27/150.45 |-The branch is then unsatisfiable % 218.27/150.45 |-Branch two: % 218.27/150.45 | (11108) all_351_0_2132 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.27/150.45 | % 218.27/150.45 | Applying alpha-rule on (11108) yields: % 218.27/150.45 | (11102) all_351_0_2132 = 0 % 218.27/150.45 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.27/150.45 | % 218.27/150.45 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.27/150.45 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.27/150.45 | % 218.27/150.45 | Instantiating (546) with all_417_0_2157 yields: % 218.27/150.45 | (11112) (all_417_0_2157 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_417_0_2157 = 0 & mem(all_181_1_101, e) = 0) % 218.27/150.45 | % 218.27/150.45 +-Applying beta-rule and splitting (11100), into two cases. % 218.27/150.45 |-Branch one: % 218.27/150.45 | (11113) all_402_0_2153 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.27/150.45 | % 218.27/150.45 | Applying alpha-rule on (11113) yields: % 218.27/150.45 | (11114) all_402_0_2153 = 0 % 218.27/150.45 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.27/150.45 | % 218.27/150.45 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.27/150.45 | (1953) all_110_1_81 = e % 218.27/150.45 | % 218.27/150.45 | From (1953) and (210) follows: % 218.27/150.45 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 218.27/150.45 | % 218.27/150.45 +-Applying beta-rule and splitting (11112), into two cases. % 218.27/150.45 |-Branch one: % 218.27/150.45 | (11118) all_417_0_2157 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.27/150.45 | % 218.27/150.45 | Applying alpha-rule on (11118) yields: % 218.27/150.45 | (11119) all_417_0_2157 = 0 % 218.27/150.45 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.27/150.45 | % 218.27/150.45 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.27/150.45 | (588) all_181_1_101 = e % 218.27/150.45 | % 218.27/150.45 | From (588) and (267) follows: % 218.27/150.45 | (1959) mem(e, all_74_1_69) = 0 % 218.27/150.45 | % 218.27/150.45 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 218.27/150.45 | (233) all_110_0_80 = 0 % 218.27/150.45 | % 218.27/150.45 | Equations (233) can reduce 209 to: % 218.27/150.45 | (175) $false % 218.27/150.45 | % 218.27/150.45 |-The branch is then unsatisfiable % 218.27/150.45 |-Branch two: % 218.27/150.45 | (11125) all_417_0_2157 = 0 & mem(all_181_1_101, e) = 0 % 218.27/150.45 | % 218.27/150.45 | Applying alpha-rule on (11125) yields: % 218.27/150.45 | (11119) all_417_0_2157 = 0 % 218.27/150.45 | (603) mem(all_181_1_101, e) = 0 % 218.27/150.45 | % 218.27/150.45 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.27/150.45 | (538) $false % 218.27/150.45 | % 218.27/150.45 |-The branch is then unsatisfiable % 218.27/150.45 |-Branch two: % 218.27/150.45 | (11129) all_402_0_2153 = 0 & mem(all_110_1_81, e) = 0 % 218.27/150.45 | % 218.27/150.45 | Applying alpha-rule on (11129) yields: % 218.27/150.45 | (11114) all_402_0_2153 = 0 % 218.27/150.45 | (1968) mem(all_110_1_81, e) = 0 % 218.27/150.45 | % 218.27/150.45 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.27/150.45 | (538) $false % 218.27/150.45 | % 218.27/150.45 |-The branch is then unsatisfiable % 218.30/150.45 |-Branch two: % 218.30/150.45 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.30/150.46 | % 218.30/150.46 | Applying alpha-rule on (10493) yields: % 218.30/150.46 | (10455) all_281_0_1971 = 0 % 218.30/150.46 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.30/150.46 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.30/150.46 | % 218.30/150.46 | Instantiating (7517) with all_329_0_2159 yields: % 218.30/150.46 | (11137) (all_329_0_2159 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_329_0_2159 = 0 & mem(all_85_1_73, e) = 0) % 218.30/150.46 | % 218.30/150.46 +-Applying beta-rule and splitting (10832), into two cases. % 218.30/150.46 |-Branch one: % 218.30/150.46 | (10959) all_297_0_2087 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.30/150.46 | % 218.30/150.46 | Applying alpha-rule on (10959) yields: % 218.30/150.46 | (10960) all_297_0_2087 = 0 % 218.30/150.46 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.30/150.46 | (483) all_181_1_101 = all_0_5_5 % 218.30/150.46 | % 218.30/150.46 | From (483) and (259) follows: % 218.30/150.46 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 218.30/150.46 | % 218.30/150.46 +-Applying beta-rule and splitting (10909), into two cases. % 218.30/150.46 |-Branch one: % 218.30/150.46 | (10920) all_313_0_2100 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 218.30/150.46 | % 218.30/150.46 | Applying alpha-rule on (10920) yields: % 218.30/150.46 | (10921) all_313_0_2100 = 0 % 218.30/150.46 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 218.30/150.46 | (507) all_212_1_107 = all_0_5_5 % 218.30/150.46 | % 218.30/150.46 | From (507) and (281) follows: % 218.30/150.46 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 218.30/150.46 | (526) all_181_0_100 = 0 % 218.30/150.46 | % 218.30/150.46 | Equations (526) can reduce 258 to: % 218.30/150.46 | (175) $false % 218.30/150.46 | % 218.30/150.46 |-The branch is then unsatisfiable % 218.30/150.46 |-Branch two: % 218.30/150.46 | (10927) all_313_0_2100 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 218.30/150.46 | % 218.30/150.46 | Applying alpha-rule on (10927) yields: % 218.30/150.46 | (10921) all_313_0_2100 = 0 % 218.30/150.46 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 218.30/150.46 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 218.30/150.46 | % 218.30/150.46 | Instantiating (514) with all_376_0_2164 yields: % 218.30/150.46 | (11154) (all_376_0_2164 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_376_0_2164 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 218.30/150.46 | % 218.30/150.46 +-Applying beta-rule and splitting (11039), into two cases. % 218.30/150.46 |-Branch one: % 218.30/150.46 | (11089) all_321_0_2124 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.30/150.46 | % 218.30/150.46 | Applying alpha-rule on (11089) yields: % 218.30/150.46 | (11090) all_321_0_2124 = 0 % 218.30/150.46 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.30/150.46 | (1884) all_110_1_81 = all_0_6_6 % 218.30/150.46 | % 218.30/150.46 | From (1884) and (210) follows: % 218.30/150.46 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.30/150.46 | % 218.30/150.46 +-Applying beta-rule and splitting (11154), into two cases. % 218.30/150.46 |-Branch one: % 218.30/150.46 | (11160) all_376_0_2164 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 218.30/150.46 | % 218.30/150.46 | Applying alpha-rule on (11160) yields: % 218.30/150.46 | (11161) all_376_0_2164 = 0 % 218.30/150.46 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 218.30/150.46 | (524) all_212_1_107 = all_0_6_6 % 218.30/150.46 | % 218.30/150.46 | From (524) and (301) follows: % 218.30/150.46 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.30/150.46 | (233) all_110_0_80 = 0 % 218.30/150.46 | % 218.30/150.46 | Equations (233) can reduce 209 to: % 218.30/150.46 | (175) $false % 218.30/150.46 | % 218.30/150.46 |-The branch is then unsatisfiable % 218.30/150.46 |-Branch two: % 218.30/150.46 | (11167) all_376_0_2164 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 218.30/150.46 | % 218.30/150.46 | Applying alpha-rule on (11167) yields: % 218.30/150.46 | (11161) all_376_0_2164 = 0 % 218.30/150.46 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 218.30/150.46 | % 218.30/150.46 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 218.30/150.46 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 218.30/150.46 | % 218.30/150.46 | Instantiating (531) with all_406_0_2165 yields: % 218.30/150.47 | (11171) (all_406_0_2165 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_406_0_2165 = 0 & mem(all_212_1_107, e) = 0) % 218.30/150.47 | % 218.30/150.47 +-Applying beta-rule and splitting (11171), into two cases. % 218.30/150.47 |-Branch one: % 218.30/150.47 | (11172) all_406_0_2165 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 218.30/150.47 | % 218.30/150.47 | Applying alpha-rule on (11172) yields: % 218.30/150.47 | (11173) all_406_0_2165 = 0 % 218.30/150.47 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 218.30/150.47 | % 218.30/150.47 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 218.30/150.47 | (536) all_212_1_107 = e % 218.30/150.47 | % 218.30/150.47 | From (536) and (6141) follows: % 218.30/150.47 | (6440) mem(all_244_1_1231, e) = 0 % 218.30/150.47 | % 218.30/150.47 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 218.30/150.47 | (538) $false % 218.30/150.47 | % 218.30/150.47 |-The branch is then unsatisfiable % 218.30/150.47 |-Branch two: % 218.30/150.47 | (11178) all_406_0_2165 = 0 & mem(all_212_1_107, e) = 0 % 218.30/150.47 | % 218.30/150.47 | Applying alpha-rule on (11178) yields: % 218.30/150.47 | (11173) all_406_0_2165 = 0 % 218.30/150.47 | (541) mem(all_212_1_107, e) = 0 % 218.30/150.47 | % 218.30/150.47 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 218.30/150.47 | (538) $false % 218.30/150.47 | % 218.30/150.47 |-The branch is then unsatisfiable % 218.30/150.47 |-Branch two: % 218.30/150.47 | (11096) all_321_0_2124 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.30/150.47 | % 218.30/150.47 | Applying alpha-rule on (11096) yields: % 218.30/150.47 | (11090) all_321_0_2124 = 0 % 218.30/150.47 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.30/150.47 | % 218.30/150.47 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.30/150.47 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.30/150.47 | % 218.30/150.47 | Instantiating (1911) with all_384_0_2166 yields: % 218.30/150.47 | (11186) (all_384_0_2166 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_384_0_2166 = 0 & mem(all_110_1_81, e) = 0) % 218.30/150.47 | % 218.30/150.47 +-Applying beta-rule and splitting (11137), into two cases. % 218.30/150.47 |-Branch one: % 218.30/150.47 | (11187) all_329_0_2159 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.30/150.47 | % 218.30/150.47 | Applying alpha-rule on (11187) yields: % 218.30/150.47 | (11188) all_329_0_2159 = 0 % 218.30/150.47 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.30/150.47 | % 218.30/150.47 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.30/150.47 | (7551) all_85_1_73 = e % 218.30/150.47 | % 218.30/150.47 | From (7551) and (184) follows: % 218.30/150.47 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.30/150.47 | % 218.30/150.47 +-Applying beta-rule and splitting (11186), into two cases. % 218.30/150.47 |-Branch one: % 218.30/150.47 | (11192) all_384_0_2166 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.30/150.47 | % 218.30/150.47 | Applying alpha-rule on (11192) yields: % 218.30/150.47 | (11193) all_384_0_2166 = 0 % 218.30/150.47 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.30/150.47 | % 218.30/150.47 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.30/150.47 | (1953) all_110_1_81 = e % 218.30/150.47 | % 218.30/150.47 | From (1953) and (211) follows: % 218.30/150.47 | (7594) mem(e, all_57_1_62) = 0 % 218.30/150.47 | % 218.30/150.47 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.30/150.47 | (212) all_85_0_72 = 0 % 218.30/150.47 | % 218.30/150.47 | Equations (212) can reduce 183 to: % 218.30/150.47 | (175) $false % 218.30/150.47 | % 218.30/150.47 |-The branch is then unsatisfiable % 218.30/150.47 |-Branch two: % 218.30/150.47 | (11199) all_384_0_2166 = 0 & mem(all_110_1_81, e) = 0 % 218.30/150.47 | % 218.30/150.47 | Applying alpha-rule on (11199) yields: % 218.30/150.48 | (11193) all_384_0_2166 = 0 % 218.30/150.48 | (1968) mem(all_110_1_81, e) = 0 % 218.30/150.48 | % 218.30/150.48 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.30/150.48 | (538) $false % 218.30/150.48 | % 218.30/150.48 |-The branch is then unsatisfiable % 218.30/150.48 |-Branch two: % 218.30/150.48 | (11203) all_329_0_2159 = 0 & mem(all_85_1_73, e) = 0 % 218.30/150.48 | % 218.30/150.48 | Applying alpha-rule on (11203) yields: % 218.30/150.48 | (11188) all_329_0_2159 = 0 % 218.30/150.48 | (7603) mem(all_85_1_73, e) = 0 % 218.30/150.48 | % 218.30/150.48 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.30/150.48 | (538) $false % 218.30/150.48 | % 218.30/150.48 |-The branch is then unsatisfiable % 218.30/150.48 |-Branch two: % 218.30/150.48 | (10966) all_297_0_2087 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.30/150.48 | % 218.30/150.48 | Applying alpha-rule on (10966) yields: % 218.30/150.48 | (10960) all_297_0_2087 = 0 % 218.30/150.48 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.30/150.48 | % 218.30/150.48 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.30/150.48 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.30/150.48 | % 218.30/150.48 | Instantiating (490) with all_348_0_2173 yields: % 218.30/150.48 | (11211) (all_348_0_2173 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_348_0_2173 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.30/150.48 | % 218.30/150.48 +-Applying beta-rule and splitting (11039), into two cases. % 218.30/150.48 |-Branch one: % 218.30/150.48 | (11089) all_321_0_2124 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.30/150.48 | % 218.30/150.48 | Applying alpha-rule on (11089) yields: % 218.30/150.48 | (11090) all_321_0_2124 = 0 % 218.30/150.48 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.30/150.48 | % 218.30/150.48 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.30/150.48 | (1884) all_110_1_81 = all_0_6_6 % 218.30/150.48 | % 218.30/150.48 | From (1884) and (210) follows: % 218.30/150.48 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.30/150.48 | % 218.30/150.48 +-Applying beta-rule and splitting (11137), into two cases. % 218.30/150.48 |-Branch one: % 218.30/150.48 | (11187) all_329_0_2159 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.30/150.48 | % 218.30/150.48 | Applying alpha-rule on (11187) yields: % 218.30/150.48 | (11188) all_329_0_2159 = 0 % 218.30/150.48 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.30/150.48 | % 218.30/150.48 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.30/150.48 | (7551) all_85_1_73 = e % 218.30/150.48 | % 218.30/150.48 | From (7551) and (184) follows: % 218.30/150.48 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.30/150.48 | % 218.30/150.48 +-Applying beta-rule and splitting (11211), into two cases. % 218.30/150.48 |-Branch one: % 218.30/150.48 | (11222) all_348_0_2173 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.30/150.48 | % 218.30/150.48 | Applying alpha-rule on (11222) yields: % 218.30/150.48 | (11223) all_348_0_2173 = 0 % 218.30/150.48 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.30/150.48 | % 218.30/150.48 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.30/150.48 | (519) all_181_1_101 = all_0_6_6 % 218.30/150.48 | % 218.30/150.48 | From (519) and (267) follows: % 218.30/150.49 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.30/150.49 | % 218.30/150.49 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.30/150.49 | (233) all_110_0_80 = 0 % 218.30/150.49 | % 218.30/150.49 | Equations (233) can reduce 209 to: % 218.30/150.49 | (175) $false % 218.30/150.49 | % 218.30/150.49 |-The branch is then unsatisfiable % 218.30/150.49 |-Branch two: % 218.30/150.49 | (11229) all_348_0_2173 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.30/150.49 | % 218.30/150.49 | Applying alpha-rule on (11229) yields: % 218.30/150.49 | (11223) all_348_0_2173 = 0 % 218.30/150.49 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.30/150.49 | % 218.30/150.49 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.30/150.49 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.30/150.49 | % 218.30/150.49 | Instantiating (546) with all_429_0_2190 yields: % 218.30/150.49 | (11233) (all_429_0_2190 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_429_0_2190 = 0 & mem(all_181_1_101, e) = 0) % 218.30/150.49 | % 218.30/150.49 +-Applying beta-rule and splitting (11233), into two cases. % 218.30/150.49 |-Branch one: % 218.30/150.49 | (11234) all_429_0_2190 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.30/150.49 | % 218.30/150.49 | Applying alpha-rule on (11234) yields: % 218.30/150.49 | (11235) all_429_0_2190 = 0 % 218.30/150.49 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.30/150.49 | % 218.30/150.49 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.30/150.49 | (588) all_181_1_101 = e % 218.30/150.49 | % 218.30/150.49 | From (588) and (287) follows: % 218.30/150.49 | (7594) mem(e, all_57_1_62) = 0 % 218.30/150.49 | % 218.30/150.49 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.30/150.49 | (212) all_85_0_72 = 0 % 218.30/150.49 | % 218.30/150.49 | Equations (212) can reduce 183 to: % 218.30/150.49 | (175) $false % 218.30/150.49 | % 218.30/150.49 |-The branch is then unsatisfiable % 218.30/150.49 |-Branch two: % 218.30/150.49 | (11241) all_429_0_2190 = 0 & mem(all_181_1_101, e) = 0 % 218.30/150.49 | % 218.30/150.49 | Applying alpha-rule on (11241) yields: % 218.30/150.49 | (11235) all_429_0_2190 = 0 % 218.30/150.49 | (603) mem(all_181_1_101, e) = 0 % 218.30/150.49 | % 218.30/150.49 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.30/150.49 | (538) $false % 218.30/150.49 | % 218.30/150.49 |-The branch is then unsatisfiable % 218.30/150.49 |-Branch two: % 218.30/150.49 | (11203) all_329_0_2159 = 0 & mem(all_85_1_73, e) = 0 % 218.30/150.49 | % 218.30/150.49 | Applying alpha-rule on (11203) yields: % 218.30/150.49 | (11188) all_329_0_2159 = 0 % 218.30/150.49 | (7603) mem(all_85_1_73, e) = 0 % 218.30/150.49 | % 218.30/150.49 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.30/150.49 | (538) $false % 218.30/150.49 | % 218.30/150.49 |-The branch is then unsatisfiable % 218.30/150.49 |-Branch two: % 218.30/150.49 | (11096) all_321_0_2124 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.30/150.49 | % 218.30/150.49 | Applying alpha-rule on (11096) yields: % 218.30/150.49 | (11090) all_321_0_2124 = 0 % 218.30/150.49 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.30/150.49 | % 218.30/150.49 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.30/150.49 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.30/150.49 | % 218.30/150.49 | Instantiating (1911) with all_399_0_2199 yields: % 218.30/150.49 | (11253) (all_399_0_2199 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_399_0_2199 = 0 & mem(all_110_1_81, e) = 0) % 218.30/150.49 | % 218.30/150.49 +-Applying beta-rule and splitting (11137), into two cases. % 218.30/150.49 |-Branch one: % 218.30/150.49 | (11187) all_329_0_2159 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.30/150.49 | % 218.30/150.49 | Applying alpha-rule on (11187) yields: % 218.30/150.49 | (11188) all_329_0_2159 = 0 % 218.30/150.49 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.30/150.49 | % 218.30/150.49 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.30/150.50 | (7551) all_85_1_73 = e % 218.30/150.50 | % 218.30/150.50 | From (7551) and (184) follows: % 218.30/150.50 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.30/150.50 | % 218.30/150.50 +-Applying beta-rule and splitting (11253), into two cases. % 218.30/150.50 |-Branch one: % 218.30/150.50 | (11259) all_399_0_2199 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.30/150.50 | % 218.30/150.50 | Applying alpha-rule on (11259) yields: % 218.30/150.50 | (11260) all_399_0_2199 = 0 % 218.30/150.50 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.30/150.50 | % 218.30/150.50 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.30/150.50 | (1953) all_110_1_81 = e % 218.30/150.50 | % 218.30/150.50 | From (1953) and (211) follows: % 218.30/150.50 | (7594) mem(e, all_57_1_62) = 0 % 218.30/150.50 | % 218.30/150.50 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.30/150.50 | (212) all_85_0_72 = 0 % 218.30/150.50 | % 218.30/150.50 | Equations (212) can reduce 183 to: % 218.30/150.50 | (175) $false % 218.30/150.50 | % 218.30/150.50 |-The branch is then unsatisfiable % 218.30/150.50 |-Branch two: % 218.30/150.50 | (11266) all_399_0_2199 = 0 & mem(all_110_1_81, e) = 0 % 218.30/150.50 | % 218.30/150.50 | Applying alpha-rule on (11266) yields: % 218.30/150.50 | (11260) all_399_0_2199 = 0 % 218.30/150.50 | (1968) mem(all_110_1_81, e) = 0 % 218.30/150.50 | % 218.30/150.50 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.30/150.50 | (538) $false % 218.30/150.50 | % 218.30/150.50 |-The branch is then unsatisfiable % 218.30/150.50 |-Branch two: % 218.30/150.50 | (11203) all_329_0_2159 = 0 & mem(all_85_1_73, e) = 0 % 218.30/150.50 | % 218.30/150.50 | Applying alpha-rule on (11203) yields: % 218.30/150.50 | (11188) all_329_0_2159 = 0 % 218.30/150.50 | (7603) mem(all_85_1_73, e) = 0 % 218.30/150.50 | % 218.30/150.50 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.30/150.50 | (538) $false % 218.30/150.50 | % 218.30/150.50 |-The branch is then unsatisfiable % 218.30/150.50 |-Branch two: % 218.30/150.50 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 218.30/150.50 | % 218.30/150.50 | Applying alpha-rule on (6306) yields: % 218.30/150.50 | (6240) all_259_0_1233 = 0 % 218.30/150.50 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 218.30/150.50 | % 218.30/150.50 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 218.30/150.50 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 218.30/150.50 | % 218.30/150.50 | Instantiating (437) with all_305_0_2204 yields: % 218.30/150.50 | (11278) (all_305_0_2204 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_305_0_2204 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 218.30/150.50 | % 218.30/150.50 +-Applying beta-rule and splitting (9125), into two cases. % 218.30/150.50 |-Branch one: % 218.30/150.50 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 218.30/150.50 | % 218.30/150.50 | Applying alpha-rule on (9285) yields: % 218.30/150.50 | (9286) all_273_0_1800 = 0 % 218.30/150.50 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 218.30/150.50 | % 218.30/150.50 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 218.30/150.50 | (1720) all_110_1_81 = all_0_5_5 % 218.30/150.50 | % 218.30/150.50 | From (1720) and (210) follows: % 218.30/150.51 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 218.30/150.51 | % 218.30/150.51 +-Applying beta-rule and splitting (10294), into two cases. % 218.30/150.51 |-Branch one: % 218.30/150.51 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.30/150.51 | % 218.30/150.51 | Applying alpha-rule on (10454) yields: % 218.30/150.51 | (10455) all_281_0_1971 = 0 % 218.30/150.51 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.30/150.51 | % 218.30/150.51 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.30/150.51 | (7375) all_85_1_73 = all_0_6_6 % 218.30/150.51 | % 218.30/150.51 | From (7375) and (184) follows: % 218.30/150.51 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.30/150.51 | % 218.30/150.51 +-Applying beta-rule and splitting (10832), into two cases. % 218.30/150.51 |-Branch one: % 218.30/150.51 | (10959) all_297_0_2087 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.30/150.51 | % 218.30/150.51 | Applying alpha-rule on (10959) yields: % 218.30/150.51 | (10960) all_297_0_2087 = 0 % 218.30/150.51 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.30/150.51 | % 218.30/150.51 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.30/150.51 | (483) all_181_1_101 = all_0_5_5 % 218.30/150.51 | % 218.30/150.51 | From (483) and (267) follows: % 218.30/150.51 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.30/150.51 | % 218.30/150.51 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.30/150.51 | (233) all_110_0_80 = 0 % 218.30/150.51 | % 218.30/150.51 | Equations (233) can reduce 209 to: % 218.30/150.51 | (175) $false % 218.30/150.51 | % 218.30/150.51 |-The branch is then unsatisfiable % 218.30/150.51 |-Branch two: % 218.30/150.51 | (10966) all_297_0_2087 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.30/150.51 | % 218.30/150.51 | Applying alpha-rule on (10966) yields: % 218.30/150.51 | (10960) all_297_0_2087 = 0 % 218.30/150.51 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.30/150.51 | % 218.30/150.51 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.30/150.51 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.30/150.51 | % 218.30/150.51 | Instantiating (490) with all_354_0_2206 yields: % 218.30/150.51 | (11300) (all_354_0_2206 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_354_0_2206 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.30/150.51 | % 218.30/150.51 +-Applying beta-rule and splitting (11278), into two cases. % 218.30/150.51 |-Branch one: % 218.30/150.51 | (11301) all_305_0_2204 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 218.30/150.51 | % 218.30/150.51 | Applying alpha-rule on (11301) yields: % 218.30/150.51 | (11302) all_305_0_2204 = 0 % 218.30/150.51 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 218.30/150.51 | % 218.30/150.51 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 218.30/150.51 | (495) all_165_2_96 = all_0_5_5 % 218.30/150.51 | % 218.30/150.51 | From (495) and (288) follows: % 218.30/150.51 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.30/150.51 | % 218.30/150.51 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.30/150.51 | (233) all_110_0_80 = 0 % 218.30/150.51 | % 218.30/150.51 | Equations (233) can reduce 209 to: % 218.30/150.51 | (175) $false % 218.30/150.51 | % 218.30/150.51 |-The branch is then unsatisfiable % 218.30/150.51 |-Branch two: % 218.30/150.51 | (11308) all_305_0_2204 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 218.30/150.51 | % 218.30/150.51 | Applying alpha-rule on (11308) yields: % 218.30/150.51 | (11302) all_305_0_2204 = 0 % 218.30/150.51 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 218.30/150.51 | % 218.30/150.51 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 218.30/150.51 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 218.30/150.51 | % 218.30/150.51 | Instantiating (502) with all_362_0_2207 yields: % 218.30/150.51 | (11312) (all_362_0_2207 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_2207 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 218.30/150.51 | % 218.30/150.51 +-Applying beta-rule and splitting (11300), into two cases. % 218.30/150.51 |-Branch one: % 218.30/150.51 | (11313) all_354_0_2206 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.30/150.51 | % 218.30/150.51 | Applying alpha-rule on (11313) yields: % 218.30/150.51 | (11314) all_354_0_2206 = 0 % 218.30/150.51 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.30/150.51 | % 218.30/150.51 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.30/150.51 | (519) all_181_1_101 = all_0_6_6 % 218.30/150.51 | % 218.30/150.51 | From (519) and (287) follows: % 218.41/150.52 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.41/150.52 | (212) all_85_0_72 = 0 % 218.41/150.52 | % 218.41/150.52 | Equations (212) can reduce 183 to: % 218.41/150.52 | (175) $false % 218.41/150.52 | % 218.41/150.52 |-The branch is then unsatisfiable % 218.41/150.52 |-Branch two: % 218.41/150.52 | (11320) all_354_0_2206 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.41/150.52 | % 218.41/150.52 | Applying alpha-rule on (11320) yields: % 218.41/150.52 | (11314) all_354_0_2206 = 0 % 218.41/150.52 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.41/150.52 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.41/150.52 | % 218.41/150.52 | Instantiating (546) with all_399_0_2212 yields: % 218.41/150.52 | (11324) (all_399_0_2212 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_399_0_2212 = 0 & mem(all_181_1_101, e) = 0) % 218.41/150.52 | % 218.41/150.52 +-Applying beta-rule and splitting (11312), into two cases. % 218.41/150.52 |-Branch one: % 218.41/150.52 | (11325) all_362_0_2207 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 218.41/150.52 | % 218.41/150.52 | Applying alpha-rule on (11325) yields: % 218.41/150.52 | (11326) all_362_0_2207 = 0 % 218.41/150.52 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 218.41/150.52 | (551) all_165_2_96 = all_0_6_6 % 218.41/150.52 | % 218.41/150.52 | From (551) and (303) follows: % 218.41/150.52 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.41/150.52 | (212) all_85_0_72 = 0 % 218.41/150.52 | % 218.41/150.52 | Equations (212) can reduce 183 to: % 218.41/150.52 | (175) $false % 218.41/150.52 | % 218.41/150.52 |-The branch is then unsatisfiable % 218.41/150.52 |-Branch two: % 218.41/150.52 | (11332) all_362_0_2207 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 218.41/150.52 | % 218.41/150.52 | Applying alpha-rule on (11332) yields: % 218.41/150.52 | (11326) all_362_0_2207 = 0 % 218.41/150.52 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.41/150.52 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.41/150.52 | % 218.41/150.52 | Instantiating (583) with all_407_0_2213 yields: % 218.41/150.52 | (11336) (all_407_0_2213 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_2213 = 0 & mem(all_165_2_96, e) = 0) % 218.41/150.52 | % 218.41/150.52 +-Applying beta-rule and splitting (11324), into two cases. % 218.41/150.52 |-Branch one: % 218.41/150.52 | (11337) all_399_0_2212 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.41/150.52 | % 218.41/150.52 | Applying alpha-rule on (11337) yields: % 218.41/150.52 | (11338) all_399_0_2212 = 0 % 218.41/150.52 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.41/150.52 | (588) all_181_1_101 = e % 218.41/150.52 | % 218.41/150.52 | From (588) and (259) follows: % 218.41/150.52 | (589) mem(e, all_129_1_85) = all_181_0_100 % 218.41/150.52 | % 218.41/150.52 +-Applying beta-rule and splitting (11336), into two cases. % 218.41/150.52 |-Branch one: % 218.41/150.52 | (11342) all_407_0_2213 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.41/150.52 | % 218.41/150.52 | Applying alpha-rule on (11342) yields: % 218.41/150.52 | (11343) all_407_0_2213 = 0 % 218.41/150.52 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.41/150.52 | (593) all_165_2_96 = e % 218.41/150.52 | % 218.41/150.52 | From (593) and (248) follows: % 218.41/150.52 | (594) mem(e, all_129_1_85) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (65) with e, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(e, all_129_1_85) = all_181_0_100, mem(e, all_129_1_85) = 0, yields: % 218.41/150.52 | (526) all_181_0_100 = 0 % 218.41/150.52 | % 218.41/150.52 | Equations (526) can reduce 258 to: % 218.41/150.52 | (175) $false % 218.41/150.52 | % 218.41/150.52 |-The branch is then unsatisfiable % 218.41/150.52 |-Branch two: % 218.41/150.52 | (11349) all_407_0_2213 = 0 & mem(all_165_2_96, e) = 0 % 218.41/150.52 | % 218.41/150.52 | Applying alpha-rule on (11349) yields: % 218.41/150.52 | (11343) all_407_0_2213 = 0 % 218.41/150.52 | (599) mem(all_165_2_96, e) = 0 % 218.41/150.52 | % 218.41/150.52 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.41/150.52 | (538) $false % 218.41/150.52 | % 218.41/150.52 |-The branch is then unsatisfiable % 218.41/150.52 |-Branch two: % 218.41/150.53 | (11353) all_399_0_2212 = 0 & mem(all_181_1_101, e) = 0 % 218.41/150.53 | % 218.41/150.53 | Applying alpha-rule on (11353) yields: % 218.41/150.53 | (11338) all_399_0_2212 = 0 % 218.41/150.53 | (603) mem(all_181_1_101, e) = 0 % 218.41/150.53 | % 218.41/150.53 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.41/150.53 | (538) $false % 218.41/150.53 | % 218.41/150.53 |-The branch is then unsatisfiable % 218.41/150.53 |-Branch two: % 218.41/150.53 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.41/150.53 | % 218.41/150.53 | Applying alpha-rule on (10493) yields: % 218.41/150.53 | (10455) all_281_0_1971 = 0 % 218.41/150.53 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.41/150.53 | % 218.41/150.53 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.41/150.53 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.41/150.53 | % 218.41/150.53 | Instantiating (7517) with all_332_0_2214 yields: % 218.41/150.53 | (11361) (all_332_0_2214 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_2214 = 0 & mem(all_85_1_73, e) = 0) % 218.41/150.53 | % 218.41/150.53 +-Applying beta-rule and splitting (10832), into two cases. % 218.41/150.53 |-Branch one: % 218.41/150.53 | (10959) all_297_0_2087 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.41/150.53 | % 218.41/150.53 | Applying alpha-rule on (10959) yields: % 218.41/150.53 | (10960) all_297_0_2087 = 0 % 218.41/150.53 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.41/150.53 | % 218.41/150.53 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.41/150.53 | (483) all_181_1_101 = all_0_5_5 % 218.41/150.53 | % 218.41/150.53 | From (483) and (267) follows: % 218.41/150.53 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.41/150.53 | % 218.41/150.53 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.41/150.53 | (233) all_110_0_80 = 0 % 218.41/150.53 | % 218.41/150.53 | Equations (233) can reduce 209 to: % 218.41/150.53 | (175) $false % 218.41/150.53 | % 218.41/150.53 |-The branch is then unsatisfiable % 218.41/150.53 |-Branch two: % 218.41/150.53 | (10966) all_297_0_2087 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.41/150.53 | % 218.41/150.53 | Applying alpha-rule on (10966) yields: % 218.41/150.53 | (10960) all_297_0_2087 = 0 % 218.41/150.53 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.41/150.53 | % 218.41/150.53 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.41/150.53 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.41/150.53 | % 218.41/150.53 | Instantiating (490) with all_351_0_2215 yields: % 218.41/150.53 | (11373) (all_351_0_2215 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_2215 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.41/150.53 | % 218.41/150.53 +-Applying beta-rule and splitting (11278), into two cases. % 218.41/150.53 |-Branch one: % 218.41/150.53 | (11301) all_305_0_2204 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 218.41/150.53 | % 218.41/150.53 | Applying alpha-rule on (11301) yields: % 218.41/150.53 | (11302) all_305_0_2204 = 0 % 218.41/150.53 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 218.41/150.53 | % 218.41/150.53 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 218.41/150.53 | (495) all_165_2_96 = all_0_5_5 % 218.41/150.53 | % 218.41/150.53 | From (495) and (288) follows: % 218.41/150.53 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.41/150.53 | % 218.41/150.53 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.41/150.53 | (233) all_110_0_80 = 0 % 218.41/150.53 | % 218.41/150.53 | Equations (233) can reduce 209 to: % 218.41/150.53 | (175) $false % 218.41/150.53 | % 218.41/150.53 |-The branch is then unsatisfiable % 218.41/150.53 |-Branch two: % 218.41/150.53 | (11308) all_305_0_2204 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 218.41/150.53 | % 218.41/150.54 | Applying alpha-rule on (11308) yields: % 218.41/150.54 | (11302) all_305_0_2204 = 0 % 218.41/150.54 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 218.41/150.54 | % 218.41/150.54 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 218.41/150.54 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 218.41/150.54 | % 218.41/150.54 | Instantiating (502) with all_359_0_2216 yields: % 218.41/150.54 | (11385) (all_359_0_2216 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_2216 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 218.41/150.54 | % 218.41/150.54 +-Applying beta-rule and splitting (11361), into two cases. % 218.41/150.54 |-Branch one: % 218.41/150.54 | (11386) all_332_0_2214 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.41/150.54 | % 218.41/150.54 | Applying alpha-rule on (11386) yields: % 218.41/150.54 | (11387) all_332_0_2214 = 0 % 218.41/150.54 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.41/150.54 | % 218.41/150.54 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.41/150.54 | (7551) all_85_1_73 = e % 218.41/150.54 | % 218.41/150.54 | From (7551) and (184) follows: % 218.41/150.54 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.41/150.54 | % 218.41/150.54 +-Applying beta-rule and splitting (11373), into two cases. % 218.41/150.54 |-Branch one: % 218.41/150.54 | (11391) all_351_0_2215 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.41/150.54 | % 218.41/150.54 | Applying alpha-rule on (11391) yields: % 218.41/150.54 | (11392) all_351_0_2215 = 0 % 218.41/150.54 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.41/150.54 | % 218.41/150.54 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.41/150.54 | (519) all_181_1_101 = all_0_6_6 % 218.41/150.54 | % 218.41/150.54 | From (519) and (259) follows: % 218.41/150.54 | (520) mem(all_0_6_6, all_129_1_85) = all_181_0_100 % 218.41/150.54 | % 218.41/150.54 +-Applying beta-rule and splitting (11385), into two cases. % 218.41/150.54 |-Branch one: % 218.41/150.54 | (11396) all_359_0_2216 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 218.41/150.54 | % 218.41/150.54 | Applying alpha-rule on (11396) yields: % 218.41/150.54 | (11397) all_359_0_2216 = 0 % 218.41/150.54 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 218.41/150.54 | % 218.41/150.54 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 218.41/150.54 | (551) all_165_2_96 = all_0_6_6 % 218.41/150.54 | % 218.41/150.54 | From (551) and (248) follows: % 218.41/150.54 | (525) mem(all_0_6_6, all_129_1_85) = 0 % 218.41/150.54 | % 218.41/150.54 | Instantiating formula (65) with all_0_6_6, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_6_6, all_129_1_85) = all_181_0_100, mem(all_0_6_6, all_129_1_85) = 0, yields: % 218.41/150.54 | (526) all_181_0_100 = 0 % 218.41/150.54 | % 218.41/150.54 | Equations (526) can reduce 258 to: % 218.41/150.54 | (175) $false % 218.41/150.54 | % 218.41/150.54 |-The branch is then unsatisfiable % 218.41/150.54 |-Branch two: % 218.41/150.54 | (11403) all_359_0_2216 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 218.41/150.54 | % 218.41/150.54 | Applying alpha-rule on (11403) yields: % 218.41/150.54 | (11397) all_359_0_2216 = 0 % 218.41/150.54 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.41/150.54 | % 218.41/150.54 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.41/150.54 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.41/150.54 | % 218.41/150.54 | Instantiating (583) with all_414_0_2219 yields: % 218.41/150.54 | (11407) (all_414_0_2219 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_414_0_2219 = 0 & mem(all_165_2_96, e) = 0) % 218.41/150.54 | % 218.41/150.54 +-Applying beta-rule and splitting (11407), into two cases. % 218.41/150.54 |-Branch one: % 218.41/150.54 | (11408) all_414_0_2219 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.41/150.54 | % 218.41/150.54 | Applying alpha-rule on (11408) yields: % 218.41/150.54 | (11409) all_414_0_2219 = 0 % 218.41/150.54 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.41/150.54 | % 218.41/150.54 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.41/150.54 | (593) all_165_2_96 = e % 218.41/150.54 | % 218.41/150.54 | From (593) and (303) follows: % 218.41/150.54 | (7594) mem(e, all_57_1_62) = 0 % 218.41/150.54 | % 218.41/150.54 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.41/150.54 | (212) all_85_0_72 = 0 % 218.41/150.54 | % 218.41/150.54 | Equations (212) can reduce 183 to: % 218.41/150.54 | (175) $false % 218.41/150.54 | % 218.41/150.54 |-The branch is then unsatisfiable % 218.41/150.54 |-Branch two: % 218.41/150.54 | (11415) all_414_0_2219 = 0 & mem(all_165_2_96, e) = 0 % 218.41/150.54 | % 218.41/150.55 | Applying alpha-rule on (11415) yields: % 218.41/150.55 | (11409) all_414_0_2219 = 0 % 218.41/150.55 | (599) mem(all_165_2_96, e) = 0 % 218.41/150.55 | % 218.41/150.55 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.41/150.55 | (538) $false % 218.41/150.55 | % 218.41/150.55 |-The branch is then unsatisfiable % 218.41/150.55 |-Branch two: % 218.41/150.55 | (11419) all_351_0_2215 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.41/150.55 | % 218.41/150.55 | Applying alpha-rule on (11419) yields: % 218.41/150.55 | (11392) all_351_0_2215 = 0 % 218.41/150.55 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.41/150.55 | % 218.41/150.55 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.41/150.55 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.41/150.55 | % 218.41/150.55 | Instantiating (546) with all_403_0_2220 yields: % 218.41/150.55 | (11423) (all_403_0_2220 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_403_0_2220 = 0 & mem(all_181_1_101, e) = 0) % 218.41/150.55 | % 218.41/150.55 +-Applying beta-rule and splitting (11423), into two cases. % 218.41/150.55 |-Branch one: % 218.41/150.55 | (11424) all_403_0_2220 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.41/150.55 | % 218.41/150.55 | Applying alpha-rule on (11424) yields: % 218.41/150.55 | (11425) all_403_0_2220 = 0 % 218.41/150.55 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.41/150.55 | % 218.41/150.55 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.41/150.55 | (588) all_181_1_101 = e % 218.41/150.55 | % 218.41/150.55 | From (588) and (287) follows: % 218.41/150.55 | (7594) mem(e, all_57_1_62) = 0 % 218.41/150.55 | % 218.41/150.55 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.41/150.55 | (212) all_85_0_72 = 0 % 218.41/150.55 | % 218.41/150.55 | Equations (212) can reduce 183 to: % 218.41/150.55 | (175) $false % 218.41/150.55 | % 218.41/150.55 |-The branch is then unsatisfiable % 218.41/150.55 |-Branch two: % 218.41/150.55 | (11431) all_403_0_2220 = 0 & mem(all_181_1_101, e) = 0 % 218.41/150.55 | % 218.41/150.55 | Applying alpha-rule on (11431) yields: % 218.41/150.55 | (11425) all_403_0_2220 = 0 % 218.41/150.55 | (603) mem(all_181_1_101, e) = 0 % 218.41/150.55 | % 218.41/150.55 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.41/150.55 | (538) $false % 218.41/150.55 | % 218.41/150.55 |-The branch is then unsatisfiable % 218.41/150.55 |-Branch two: % 218.41/150.55 | (11435) all_332_0_2214 = 0 & mem(all_85_1_73, e) = 0 % 218.41/150.55 | % 218.41/150.55 | Applying alpha-rule on (11435) yields: % 218.41/150.55 | (11387) all_332_0_2214 = 0 % 218.41/150.55 | (7603) mem(all_85_1_73, e) = 0 % 218.41/150.55 | % 218.41/150.55 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.41/150.55 | (538) $false % 218.41/150.55 | % 218.41/150.55 |-The branch is then unsatisfiable % 218.41/150.55 |-Branch two: % 218.41/150.55 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 218.41/150.55 | % 218.41/150.56 | Applying alpha-rule on (9292) yields: % 218.41/150.56 | (9286) all_273_0_1800 = 0 % 218.41/150.56 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 218.41/150.56 | % 218.41/150.56 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 218.41/150.56 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 218.41/150.56 | % 218.41/150.56 | Instantiating (1850) with all_321_0_2231 yields: % 218.41/150.56 | (11443) (all_321_0_2231 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_321_0_2231 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 218.41/150.56 | % 218.41/150.56 +-Applying beta-rule and splitting (10294), into two cases. % 218.41/150.56 |-Branch one: % 218.41/150.56 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.41/150.56 | % 218.41/150.56 | Applying alpha-rule on (10454) yields: % 218.41/150.56 | (10455) all_281_0_1971 = 0 % 218.41/150.56 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.41/150.56 | % 218.41/150.56 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.46/150.56 | (7375) all_85_1_73 = all_0_6_6 % 218.46/150.56 | % 218.46/150.56 | From (7375) and (184) follows: % 218.46/150.56 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.46/150.56 | % 218.46/150.56 +-Applying beta-rule and splitting (10832), into two cases. % 218.46/150.56 |-Branch one: % 218.46/150.56 | (10959) all_297_0_2087 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.46/150.56 | % 218.46/150.56 | Applying alpha-rule on (10959) yields: % 218.46/150.56 | (10960) all_297_0_2087 = 0 % 218.46/150.56 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.46/150.56 | % 218.46/150.56 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.46/150.56 | (483) all_181_1_101 = all_0_5_5 % 218.46/150.56 | % 218.46/150.56 | From (483) and (259) follows: % 218.46/150.56 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 218.46/150.56 | % 218.46/150.56 +-Applying beta-rule and splitting (11278), into two cases. % 218.46/150.56 |-Branch one: % 218.46/150.56 | (11301) all_305_0_2204 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 218.46/150.56 | % 218.46/150.56 | Applying alpha-rule on (11301) yields: % 218.46/150.56 | (11302) all_305_0_2204 = 0 % 218.46/150.56 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 218.46/150.56 | % 218.46/150.56 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 218.46/150.56 | (495) all_165_2_96 = all_0_5_5 % 218.46/150.56 | % 218.46/150.56 | From (495) and (248) follows: % 218.46/150.56 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 218.46/150.56 | % 218.46/150.56 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 218.46/150.56 | (526) all_181_0_100 = 0 % 218.46/150.56 | % 218.46/150.56 | Equations (526) can reduce 258 to: % 218.46/150.56 | (175) $false % 218.46/150.56 | % 218.46/150.56 |-The branch is then unsatisfiable % 218.46/150.56 |-Branch two: % 218.46/150.56 | (11308) all_305_0_2204 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 218.46/150.56 | % 218.46/150.56 | Applying alpha-rule on (11308) yields: % 218.46/150.56 | (11302) all_305_0_2204 = 0 % 218.46/150.56 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 218.46/150.56 | % 218.46/150.56 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 218.46/150.56 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 218.46/150.56 | % 218.46/150.56 | Instantiating (502) with all_362_0_2232 yields: % 218.46/150.56 | (11465) (all_362_0_2232 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_2232 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 218.46/150.56 | % 218.46/150.56 +-Applying beta-rule and splitting (11443), into two cases. % 218.46/150.56 |-Branch one: % 218.46/150.56 | (11466) all_321_0_2231 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.46/150.56 | % 218.46/150.56 | Applying alpha-rule on (11466) yields: % 218.46/150.56 | (11467) all_321_0_2231 = 0 % 218.46/150.56 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.46/150.56 | % 218.46/150.56 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.46/150.56 | (1884) all_110_1_81 = all_0_6_6 % 218.46/150.56 | % 218.46/150.56 | From (1884) and (211) follows: % 218.46/150.56 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.46/150.56 | % 218.46/150.56 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.46/150.56 | (212) all_85_0_72 = 0 % 218.46/150.56 | % 218.46/150.56 | Equations (212) can reduce 183 to: % 218.46/150.56 | (175) $false % 218.46/150.56 | % 218.46/150.56 |-The branch is then unsatisfiable % 218.46/150.56 |-Branch two: % 218.46/150.56 | (11473) all_321_0_2231 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.46/150.56 | % 218.46/150.57 | Applying alpha-rule on (11473) yields: % 218.46/150.57 | (11467) all_321_0_2231 = 0 % 218.46/150.57 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.46/150.57 | % 218.46/150.57 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.46/150.57 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.46/150.57 | % 218.46/150.57 | Instantiating (1911) with all_399_0_2237 yields: % 218.46/150.57 | (11477) (all_399_0_2237 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_399_0_2237 = 0 & mem(all_110_1_81, e) = 0) % 218.46/150.57 | % 218.46/150.57 +-Applying beta-rule and splitting (11465), into two cases. % 218.46/150.57 |-Branch one: % 218.46/150.57 | (11478) all_362_0_2232 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 218.46/150.57 | % 218.46/150.57 | Applying alpha-rule on (11478) yields: % 218.46/150.57 | (11479) all_362_0_2232 = 0 % 218.46/150.57 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 218.46/150.57 | % 218.46/150.57 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 218.46/150.57 | (551) all_165_2_96 = all_0_6_6 % 218.46/150.57 | % 218.46/150.57 | From (551) and (303) follows: % 218.46/150.57 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.46/150.57 | % 218.46/150.57 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.46/150.57 | (212) all_85_0_72 = 0 % 218.46/150.57 | % 218.46/150.57 | Equations (212) can reduce 183 to: % 218.46/150.57 | (175) $false % 218.46/150.57 | % 218.46/150.57 |-The branch is then unsatisfiable % 218.46/150.57 |-Branch two: % 218.46/150.57 | (11485) all_362_0_2232 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 218.46/150.57 | % 218.46/150.57 | Applying alpha-rule on (11485) yields: % 218.46/150.57 | (11479) all_362_0_2232 = 0 % 218.46/150.57 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.46/150.57 | % 218.46/150.57 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.46/150.57 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.46/150.57 | % 218.46/150.57 | Instantiating (583) with all_407_0_2238 yields: % 218.46/150.57 | (11489) (all_407_0_2238 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_2238 = 0 & mem(all_165_2_96, e) = 0) % 218.46/150.57 | % 218.46/150.57 +-Applying beta-rule and splitting (11477), into two cases. % 218.46/150.57 |-Branch one: % 218.46/150.57 | (11490) all_399_0_2237 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.46/150.57 | % 218.46/150.57 | Applying alpha-rule on (11490) yields: % 218.46/150.57 | (11491) all_399_0_2237 = 0 % 218.46/150.57 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.46/150.57 | % 218.46/150.57 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.46/150.57 | (1953) all_110_1_81 = e % 218.46/150.57 | % 218.46/150.57 | From (1953) and (210) follows: % 218.46/150.57 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 218.46/150.57 | % 218.46/150.57 +-Applying beta-rule and splitting (11489), into two cases. % 218.46/150.57 |-Branch one: % 218.46/150.57 | (11495) all_407_0_2238 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.46/150.57 | % 218.46/150.57 | Applying alpha-rule on (11495) yields: % 218.46/150.57 | (11496) all_407_0_2238 = 0 % 218.46/150.57 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.46/150.57 | % 218.46/150.57 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.46/150.57 | (593) all_165_2_96 = e % 218.46/150.57 | % 218.46/150.57 | From (593) and (288) follows: % 218.46/150.57 | (1959) mem(e, all_74_1_69) = 0 % 218.46/150.57 | % 218.46/150.57 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 218.46/150.57 | (233) all_110_0_80 = 0 % 218.46/150.57 | % 218.46/150.57 | Equations (233) can reduce 209 to: % 218.46/150.57 | (175) $false % 218.46/150.57 | % 218.46/150.57 |-The branch is then unsatisfiable % 218.46/150.57 |-Branch two: % 218.46/150.57 | (11502) all_407_0_2238 = 0 & mem(all_165_2_96, e) = 0 % 218.46/150.57 | % 218.46/150.57 | Applying alpha-rule on (11502) yields: % 218.46/150.57 | (11496) all_407_0_2238 = 0 % 218.46/150.57 | (599) mem(all_165_2_96, e) = 0 % 218.46/150.57 | % 218.46/150.57 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.46/150.57 | (538) $false % 218.46/150.57 | % 218.46/150.57 |-The branch is then unsatisfiable % 218.46/150.57 |-Branch two: % 218.46/150.57 | (11506) all_399_0_2237 = 0 & mem(all_110_1_81, e) = 0 % 218.46/150.57 | % 218.46/150.57 | Applying alpha-rule on (11506) yields: % 218.46/150.58 | (11491) all_399_0_2237 = 0 % 218.46/150.58 | (1968) mem(all_110_1_81, e) = 0 % 218.46/150.58 | % 218.46/150.58 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.46/150.58 | (538) $false % 218.46/150.58 | % 218.46/150.58 |-The branch is then unsatisfiable % 218.46/150.58 |-Branch two: % 218.46/150.58 | (10966) all_297_0_2087 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.46/150.58 | % 218.46/150.58 | Applying alpha-rule on (10966) yields: % 218.46/150.58 | (10960) all_297_0_2087 = 0 % 218.46/150.58 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.46/150.58 | % 218.46/150.58 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.46/150.58 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.46/150.58 | % 218.46/150.58 | Instantiating (490) with all_351_0_2239 yields: % 218.46/150.58 | (11514) (all_351_0_2239 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_2239 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.46/150.58 | % 218.46/150.58 +-Applying beta-rule and splitting (11443), into two cases. % 218.46/150.58 |-Branch one: % 218.46/150.58 | (11466) all_321_0_2231 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.46/150.58 | % 218.46/150.58 | Applying alpha-rule on (11466) yields: % 218.46/150.58 | (11467) all_321_0_2231 = 0 % 218.46/150.58 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.46/150.58 | % 218.46/150.58 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.46/150.58 | (1884) all_110_1_81 = all_0_6_6 % 218.46/150.58 | % 218.46/150.58 | From (1884) and (211) follows: % 218.46/150.58 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.46/150.58 | % 218.46/150.58 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.46/150.58 | (212) all_85_0_72 = 0 % 218.46/150.58 | % 218.46/150.58 | Equations (212) can reduce 183 to: % 218.46/150.58 | (175) $false % 218.46/150.58 | % 218.46/150.58 |-The branch is then unsatisfiable % 218.46/150.58 |-Branch two: % 218.46/150.58 | (11473) all_321_0_2231 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.46/150.58 | % 218.46/150.58 | Applying alpha-rule on (11473) yields: % 218.46/150.58 | (11467) all_321_0_2231 = 0 % 218.46/150.58 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.46/150.58 | % 218.46/150.58 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.46/150.58 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.46/150.58 | % 218.46/150.58 | Instantiating (1911) with all_396_0_2253 yields: % 218.46/150.58 | (11526) (all_396_0_2253 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_396_0_2253 = 0 & mem(all_110_1_81, e) = 0) % 218.46/150.58 | % 218.46/150.58 +-Applying beta-rule and splitting (11514), into two cases. % 218.46/150.58 |-Branch one: % 218.46/150.58 | (11527) all_351_0_2239 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.46/150.58 | % 218.46/150.58 | Applying alpha-rule on (11527) yields: % 218.46/150.58 | (11528) all_351_0_2239 = 0 % 218.46/150.58 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.46/150.58 | % 218.46/150.58 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.46/150.58 | (519) all_181_1_101 = all_0_6_6 % 218.46/150.58 | % 218.46/150.58 | From (519) and (287) follows: % 218.46/150.58 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.46/150.58 | % 218.46/150.58 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.46/150.58 | (212) all_85_0_72 = 0 % 218.46/150.58 | % 218.46/150.58 | Equations (212) can reduce 183 to: % 218.46/150.58 | (175) $false % 218.46/150.58 | % 218.46/150.58 |-The branch is then unsatisfiable % 218.46/150.58 |-Branch two: % 218.46/150.58 | (11534) all_351_0_2239 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.46/150.58 | % 218.46/150.58 | Applying alpha-rule on (11534) yields: % 218.46/150.59 | (11528) all_351_0_2239 = 0 % 218.46/150.59 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.46/150.59 | % 218.46/150.59 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.46/150.59 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.46/150.59 | % 218.46/150.59 | Instantiating (546) with all_404_0_2254 yields: % 218.46/150.59 | (11538) (all_404_0_2254 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_404_0_2254 = 0 & mem(all_181_1_101, e) = 0) % 218.46/150.59 | % 218.46/150.59 +-Applying beta-rule and splitting (11526), into two cases. % 218.46/150.59 |-Branch one: % 218.46/150.59 | (11539) all_396_0_2253 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.46/150.59 | % 218.46/150.59 | Applying alpha-rule on (11539) yields: % 218.46/150.59 | (11540) all_396_0_2253 = 0 % 218.46/150.59 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.46/150.59 | % 218.46/150.59 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.46/150.59 | (1953) all_110_1_81 = e % 218.46/150.59 | % 218.46/150.59 | From (1953) and (210) follows: % 218.46/150.59 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 218.46/150.59 | % 218.46/150.59 +-Applying beta-rule and splitting (11538), into two cases. % 218.46/150.59 |-Branch one: % 218.46/150.59 | (11544) all_404_0_2254 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.46/150.59 | % 218.46/150.59 | Applying alpha-rule on (11544) yields: % 218.46/150.59 | (11545) all_404_0_2254 = 0 % 218.46/150.59 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.46/150.59 | % 218.46/150.59 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.46/150.59 | (588) all_181_1_101 = e % 218.46/150.59 | % 218.46/150.59 | From (588) and (267) follows: % 218.46/150.59 | (1959) mem(e, all_74_1_69) = 0 % 218.46/150.59 | % 218.46/150.59 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 218.46/150.59 | (233) all_110_0_80 = 0 % 218.46/150.59 | % 218.46/150.59 | Equations (233) can reduce 209 to: % 218.46/150.59 | (175) $false % 218.46/150.59 | % 218.46/150.59 |-The branch is then unsatisfiable % 218.46/150.59 |-Branch two: % 218.46/150.59 | (11551) all_404_0_2254 = 0 & mem(all_181_1_101, e) = 0 % 218.46/150.59 | % 218.46/150.59 | Applying alpha-rule on (11551) yields: % 218.46/150.59 | (11545) all_404_0_2254 = 0 % 218.46/150.59 | (603) mem(all_181_1_101, e) = 0 % 218.46/150.59 | % 218.46/150.59 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.46/150.59 | (538) $false % 218.46/150.59 | % 218.46/150.59 |-The branch is then unsatisfiable % 218.46/150.59 |-Branch two: % 218.46/150.59 | (11555) all_396_0_2253 = 0 & mem(all_110_1_81, e) = 0 % 218.46/150.59 | % 218.46/150.59 | Applying alpha-rule on (11555) yields: % 218.46/150.59 | (11540) all_396_0_2253 = 0 % 218.46/150.59 | (1968) mem(all_110_1_81, e) = 0 % 218.46/150.59 | % 218.46/150.59 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.46/150.59 | (538) $false % 218.46/150.59 | % 218.46/150.59 |-The branch is then unsatisfiable % 218.46/150.59 |-Branch two: % 218.46/150.59 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.46/150.59 | % 218.46/150.59 | Applying alpha-rule on (10493) yields: % 218.46/150.59 | (10455) all_281_0_1971 = 0 % 218.46/150.59 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.46/150.59 | % 218.46/150.59 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.46/150.59 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.46/150.59 | % 218.46/150.60 | Instantiating (7517) with all_329_0_2256 yields: % 218.46/150.60 | (11563) (all_329_0_2256 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_329_0_2256 = 0 & mem(all_85_1_73, e) = 0) % 218.46/150.60 | % 218.46/150.60 +-Applying beta-rule and splitting (10832), into two cases. % 218.46/150.60 |-Branch one: % 218.46/150.60 | (10959) all_297_0_2087 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.46/150.60 | % 218.46/150.60 | Applying alpha-rule on (10959) yields: % 218.46/150.60 | (10960) all_297_0_2087 = 0 % 218.46/150.60 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.46/150.60 | % 218.46/150.60 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.46/150.60 | (483) all_181_1_101 = all_0_5_5 % 218.46/150.60 | % 218.46/150.60 | From (483) and (259) follows: % 218.46/150.60 | (614) mem(all_0_5_5, all_129_1_85) = all_181_0_100 % 218.46/150.60 | % 218.46/150.60 +-Applying beta-rule and splitting (11278), into two cases. % 218.46/150.60 |-Branch one: % 218.46/150.60 | (11301) all_305_0_2204 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 218.46/150.60 | % 218.46/150.60 | Applying alpha-rule on (11301) yields: % 218.46/150.60 | (11302) all_305_0_2204 = 0 % 218.46/150.60 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 218.46/150.60 | % 218.46/150.60 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 218.46/150.60 | (495) all_165_2_96 = all_0_5_5 % 218.46/150.60 | % 218.46/150.60 | From (495) and (248) follows: % 218.46/150.60 | (619) mem(all_0_5_5, all_129_1_85) = 0 % 218.46/150.60 | % 218.46/150.60 | Instantiating formula (65) with all_0_5_5, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_5_5, all_129_1_85) = all_181_0_100, mem(all_0_5_5, all_129_1_85) = 0, yields: % 218.46/150.60 | (526) all_181_0_100 = 0 % 218.46/150.60 | % 218.46/150.60 | Equations (526) can reduce 258 to: % 218.46/150.60 | (175) $false % 218.46/150.60 | % 218.46/150.60 |-The branch is then unsatisfiable % 218.46/150.60 |-Branch two: % 218.46/150.60 | (11308) all_305_0_2204 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 218.46/150.60 | % 218.46/150.60 | Applying alpha-rule on (11308) yields: % 218.46/150.60 | (11302) all_305_0_2204 = 0 % 218.46/150.60 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 218.46/150.60 | % 218.46/150.60 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 218.46/150.60 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 218.46/150.60 | % 218.46/150.60 | Instantiating (502) with all_359_0_2257 yields: % 218.46/150.60 | (11580) (all_359_0_2257 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_2257 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 218.46/150.60 | % 218.46/150.60 +-Applying beta-rule and splitting (11443), into two cases. % 218.46/150.60 |-Branch one: % 218.46/150.60 | (11466) all_321_0_2231 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.46/150.60 | % 218.46/150.60 | Applying alpha-rule on (11466) yields: % 218.46/150.60 | (11467) all_321_0_2231 = 0 % 218.46/150.60 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.46/150.60 | % 218.46/150.60 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.46/150.60 | (1884) all_110_1_81 = all_0_6_6 % 218.46/150.60 | % 218.46/150.60 | From (1884) and (210) follows: % 218.46/150.60 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.46/150.60 | % 218.46/150.60 +-Applying beta-rule and splitting (11563), into two cases. % 218.46/150.60 |-Branch one: % 218.46/150.60 | (11586) all_329_0_2256 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.46/150.60 | % 218.46/150.60 | Applying alpha-rule on (11586) yields: % 218.46/150.60 | (11587) all_329_0_2256 = 0 % 218.46/150.60 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.46/150.60 | % 218.46/150.60 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.46/150.60 | (7551) all_85_1_73 = e % 218.46/150.60 | % 218.46/150.60 | From (7551) and (184) follows: % 218.46/150.60 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.46/150.60 | % 218.46/150.60 +-Applying beta-rule and splitting (11580), into two cases. % 218.46/150.60 |-Branch one: % 218.46/150.60 | (11591) all_359_0_2257 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 218.46/150.60 | % 218.46/150.60 | Applying alpha-rule on (11591) yields: % 218.46/150.60 | (11592) all_359_0_2257 = 0 % 218.46/150.60 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 218.46/150.60 | % 218.46/150.60 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 218.46/150.60 | (551) all_165_2_96 = all_0_6_6 % 218.46/150.60 | % 218.46/150.60 | From (551) and (288) follows: % 218.46/150.60 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.46/150.61 | % 218.46/150.61 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.46/150.61 | (233) all_110_0_80 = 0 % 218.46/150.61 | % 218.46/150.61 | Equations (233) can reduce 209 to: % 218.46/150.61 | (175) $false % 218.46/150.61 | % 218.46/150.61 |-The branch is then unsatisfiable % 218.46/150.61 |-Branch two: % 218.46/150.61 | (11598) all_359_0_2257 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 218.46/150.61 | % 218.46/150.61 | Applying alpha-rule on (11598) yields: % 218.46/150.61 | (11592) all_359_0_2257 = 0 % 218.46/150.61 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.46/150.61 | % 218.46/150.61 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.46/150.61 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.46/150.61 | % 218.46/150.61 | Instantiating (583) with all_414_0_2260 yields: % 218.46/150.61 | (11602) (all_414_0_2260 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_414_0_2260 = 0 & mem(all_165_2_96, e) = 0) % 218.46/150.61 | % 218.46/150.61 +-Applying beta-rule and splitting (11602), into two cases. % 218.46/150.61 |-Branch one: % 218.46/150.61 | (11603) all_414_0_2260 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.46/150.61 | % 218.46/150.61 | Applying alpha-rule on (11603) yields: % 218.46/150.61 | (11604) all_414_0_2260 = 0 % 218.46/150.61 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.46/150.61 | % 218.46/150.61 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.46/150.61 | (593) all_165_2_96 = e % 218.46/150.61 | % 218.46/150.61 | From (593) and (303) follows: % 218.46/150.61 | (7594) mem(e, all_57_1_62) = 0 % 218.46/150.61 | % 218.46/150.61 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.46/150.61 | (212) all_85_0_72 = 0 % 218.46/150.61 | % 218.46/150.61 | Equations (212) can reduce 183 to: % 218.46/150.61 | (175) $false % 218.46/150.61 | % 218.46/150.61 |-The branch is then unsatisfiable % 218.46/150.61 |-Branch two: % 218.46/150.61 | (11610) all_414_0_2260 = 0 & mem(all_165_2_96, e) = 0 % 218.46/150.61 | % 218.46/150.61 | Applying alpha-rule on (11610) yields: % 218.46/150.61 | (11604) all_414_0_2260 = 0 % 218.46/150.61 | (599) mem(all_165_2_96, e) = 0 % 218.46/150.61 | % 218.46/150.61 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.46/150.61 | (538) $false % 218.46/150.61 | % 218.46/150.61 |-The branch is then unsatisfiable % 218.46/150.61 |-Branch two: % 218.46/150.61 | (11614) all_329_0_2256 = 0 & mem(all_85_1_73, e) = 0 % 218.46/150.61 | % 218.46/150.61 | Applying alpha-rule on (11614) yields: % 218.46/150.61 | (11587) all_329_0_2256 = 0 % 218.46/150.61 | (7603) mem(all_85_1_73, e) = 0 % 218.46/150.61 | % 218.46/150.61 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.46/150.61 | (538) $false % 218.46/150.61 | % 218.46/150.61 |-The branch is then unsatisfiable % 218.46/150.61 |-Branch two: % 218.46/150.61 | (11473) all_321_0_2231 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.46/150.61 | % 218.46/150.61 | Applying alpha-rule on (11473) yields: % 218.46/150.61 | (11467) all_321_0_2231 = 0 % 218.46/150.61 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.46/150.61 | % 218.46/150.61 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.46/150.61 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.46/150.61 | % 218.46/150.61 | Instantiating (1911) with all_396_0_2263 yields: % 218.46/150.61 | (11622) (all_396_0_2263 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_396_0_2263 = 0 & mem(all_110_1_81, e) = 0) % 218.46/150.61 | % 218.46/150.61 +-Applying beta-rule and splitting (11563), into two cases. % 218.46/150.61 |-Branch one: % 218.46/150.61 | (11586) all_329_0_2256 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.46/150.61 | % 218.46/150.61 | Applying alpha-rule on (11586) yields: % 218.46/150.62 | (11587) all_329_0_2256 = 0 % 218.46/150.62 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.46/150.62 | % 218.46/150.62 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.46/150.62 | (7551) all_85_1_73 = e % 218.46/150.62 | % 218.46/150.62 | From (7551) and (184) follows: % 218.46/150.62 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.46/150.62 | % 218.46/150.62 +-Applying beta-rule and splitting (11622), into two cases. % 218.46/150.62 |-Branch one: % 218.46/150.62 | (11628) all_396_0_2263 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.46/150.62 | % 218.46/150.62 | Applying alpha-rule on (11628) yields: % 218.46/150.62 | (11629) all_396_0_2263 = 0 % 218.46/150.62 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.46/150.62 | % 218.46/150.62 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.46/150.62 | (1953) all_110_1_81 = e % 218.46/150.62 | % 218.46/150.62 | From (1953) and (211) follows: % 218.46/150.62 | (7594) mem(e, all_57_1_62) = 0 % 218.46/150.62 | % 218.46/150.62 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.46/150.62 | (212) all_85_0_72 = 0 % 218.46/150.62 | % 218.46/150.62 | Equations (212) can reduce 183 to: % 218.46/150.62 | (175) $false % 218.46/150.62 | % 218.46/150.62 |-The branch is then unsatisfiable % 218.46/150.62 |-Branch two: % 218.46/150.62 | (11635) all_396_0_2263 = 0 & mem(all_110_1_81, e) = 0 % 218.46/150.62 | % 218.46/150.62 | Applying alpha-rule on (11635) yields: % 218.46/150.62 | (11629) all_396_0_2263 = 0 % 218.46/150.62 | (1968) mem(all_110_1_81, e) = 0 % 218.46/150.62 | % 218.46/150.62 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.46/150.62 | (538) $false % 218.46/150.62 | % 218.46/150.62 |-The branch is then unsatisfiable % 218.46/150.62 |-Branch two: % 218.46/150.62 | (11614) all_329_0_2256 = 0 & mem(all_85_1_73, e) = 0 % 218.46/150.62 | % 218.46/150.62 | Applying alpha-rule on (11614) yields: % 218.46/150.62 | (11587) all_329_0_2256 = 0 % 218.46/150.62 | (7603) mem(all_85_1_73, e) = 0 % 218.46/150.62 | % 218.46/150.62 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.46/150.62 | (538) $false % 218.46/150.62 | % 218.46/150.62 |-The branch is then unsatisfiable % 218.46/150.62 |-Branch two: % 218.46/150.62 | (10966) all_297_0_2087 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.46/150.62 | % 218.46/150.62 | Applying alpha-rule on (10966) yields: % 218.46/150.62 | (10960) all_297_0_2087 = 0 % 218.46/150.62 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.46/150.62 | % 218.46/150.62 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.46/150.62 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.46/150.62 | % 218.46/150.62 | Instantiating (490) with all_348_0_2272 yields: % 218.46/150.62 | (11647) (all_348_0_2272 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_348_0_2272 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.46/150.62 | % 218.46/150.62 +-Applying beta-rule and splitting (11443), into two cases. % 218.46/150.62 |-Branch one: % 218.46/150.62 | (11466) all_321_0_2231 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.46/150.62 | % 218.46/150.62 | Applying alpha-rule on (11466) yields: % 218.46/150.63 | (11467) all_321_0_2231 = 0 % 218.46/150.63 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.46/150.63 | % 218.46/150.63 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.46/150.63 | (1884) all_110_1_81 = all_0_6_6 % 218.46/150.63 | % 218.46/150.63 | From (1884) and (210) follows: % 218.46/150.63 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.46/150.63 | % 218.46/150.63 +-Applying beta-rule and splitting (11563), into two cases. % 218.46/150.63 |-Branch one: % 218.46/150.63 | (11586) all_329_0_2256 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.46/150.63 | % 218.46/150.63 | Applying alpha-rule on (11586) yields: % 218.46/150.63 | (11587) all_329_0_2256 = 0 % 218.46/150.63 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.46/150.63 | % 218.46/150.63 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.46/150.63 | (7551) all_85_1_73 = e % 218.46/150.63 | % 218.46/150.63 | From (7551) and (184) follows: % 218.46/150.63 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.46/150.63 | % 218.46/150.63 +-Applying beta-rule and splitting (11647), into two cases. % 218.46/150.63 |-Branch one: % 218.46/150.63 | (11658) all_348_0_2272 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.46/150.63 | % 218.46/150.63 | Applying alpha-rule on (11658) yields: % 218.46/150.63 | (11659) all_348_0_2272 = 0 % 218.46/150.63 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.46/150.63 | % 218.46/150.63 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.46/150.63 | (519) all_181_1_101 = all_0_6_6 % 218.46/150.63 | % 218.46/150.63 | From (519) and (267) follows: % 218.46/150.63 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.46/150.63 | % 218.46/150.63 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.46/150.63 | (233) all_110_0_80 = 0 % 218.46/150.63 | % 218.46/150.63 | Equations (233) can reduce 209 to: % 218.46/150.63 | (175) $false % 218.46/150.63 | % 218.46/150.63 |-The branch is then unsatisfiable % 218.46/150.63 |-Branch two: % 218.46/150.63 | (11665) all_348_0_2272 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.46/150.63 | % 218.46/150.63 | Applying alpha-rule on (11665) yields: % 218.46/150.63 | (11659) all_348_0_2272 = 0 % 218.46/150.63 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.46/150.63 | % 218.46/150.63 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.46/150.63 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.46/150.63 | % 218.46/150.63 | Instantiating (546) with all_411_0_2284 yields: % 218.46/150.63 | (11669) (all_411_0_2284 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_411_0_2284 = 0 & mem(all_181_1_101, e) = 0) % 218.46/150.63 | % 218.46/150.63 +-Applying beta-rule and splitting (11669), into two cases. % 218.46/150.63 |-Branch one: % 218.46/150.63 | (11670) all_411_0_2284 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.46/150.63 | % 218.46/150.63 | Applying alpha-rule on (11670) yields: % 218.46/150.63 | (11671) all_411_0_2284 = 0 % 218.46/150.63 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.46/150.63 | % 218.46/150.63 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.46/150.63 | (588) all_181_1_101 = e % 218.46/150.63 | % 218.46/150.63 | From (588) and (287) follows: % 218.46/150.63 | (7594) mem(e, all_57_1_62) = 0 % 218.46/150.63 | % 218.46/150.63 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.46/150.63 | (212) all_85_0_72 = 0 % 218.46/150.63 | % 218.46/150.63 | Equations (212) can reduce 183 to: % 218.46/150.63 | (175) $false % 218.46/150.63 | % 218.46/150.63 |-The branch is then unsatisfiable % 218.46/150.63 |-Branch two: % 218.46/150.63 | (11677) all_411_0_2284 = 0 & mem(all_181_1_101, e) = 0 % 218.46/150.63 | % 218.46/150.63 | Applying alpha-rule on (11677) yields: % 218.46/150.63 | (11671) all_411_0_2284 = 0 % 218.46/150.63 | (603) mem(all_181_1_101, e) = 0 % 218.46/150.63 | % 218.46/150.63 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.46/150.63 | (538) $false % 218.46/150.63 | % 218.46/150.63 |-The branch is then unsatisfiable % 218.46/150.64 |-Branch two: % 218.46/150.64 | (11614) all_329_0_2256 = 0 & mem(all_85_1_73, e) = 0 % 218.46/150.64 | % 218.46/150.64 | Applying alpha-rule on (11614) yields: % 218.46/150.64 | (11587) all_329_0_2256 = 0 % 218.46/150.64 | (7603) mem(all_85_1_73, e) = 0 % 218.46/150.64 | % 218.46/150.64 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.46/150.64 | (538) $false % 218.46/150.64 | % 218.46/150.64 |-The branch is then unsatisfiable % 218.46/150.64 |-Branch two: % 218.46/150.64 | (11473) all_321_0_2231 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.46/150.64 | % 218.46/150.64 | Applying alpha-rule on (11473) yields: % 218.46/150.64 | (11467) all_321_0_2231 = 0 % 218.46/150.64 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.46/150.64 | % 218.46/150.64 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.46/150.64 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.46/150.64 | % 218.46/150.64 | Instantiating (1911) with all_393_0_2288 yields: % 218.46/150.64 | (11689) (all_393_0_2288 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_393_0_2288 = 0 & mem(all_110_1_81, e) = 0) % 218.46/150.64 | % 218.46/150.64 +-Applying beta-rule and splitting (11563), into two cases. % 218.46/150.64 |-Branch one: % 218.46/150.64 | (11586) all_329_0_2256 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.46/150.64 | % 218.55/150.64 | Applying alpha-rule on (11586) yields: % 218.55/150.64 | (11587) all_329_0_2256 = 0 % 218.55/150.64 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.55/150.64 | % 218.55/150.64 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.55/150.64 | (7551) all_85_1_73 = e % 218.55/150.64 | % 218.55/150.64 | From (7551) and (184) follows: % 218.55/150.64 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.55/150.64 | % 218.55/150.64 +-Applying beta-rule and splitting (11689), into two cases. % 218.55/150.64 |-Branch one: % 218.55/150.64 | (11695) all_393_0_2288 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.55/150.64 | % 218.55/150.64 | Applying alpha-rule on (11695) yields: % 218.55/150.64 | (11696) all_393_0_2288 = 0 % 218.55/150.64 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.55/150.64 | % 218.55/150.64 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.55/150.64 | (1953) all_110_1_81 = e % 218.55/150.64 | % 218.55/150.64 | From (1953) and (211) follows: % 218.55/150.64 | (7594) mem(e, all_57_1_62) = 0 % 218.55/150.64 | % 218.55/150.64 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.55/150.64 | (212) all_85_0_72 = 0 % 218.55/150.64 | % 218.55/150.64 | Equations (212) can reduce 183 to: % 218.55/150.64 | (175) $false % 218.55/150.64 | % 218.55/150.64 |-The branch is then unsatisfiable % 218.55/150.64 |-Branch two: % 218.55/150.64 | (11702) all_393_0_2288 = 0 & mem(all_110_1_81, e) = 0 % 218.55/150.64 | % 218.55/150.64 | Applying alpha-rule on (11702) yields: % 218.55/150.64 | (11696) all_393_0_2288 = 0 % 218.55/150.64 | (1968) mem(all_110_1_81, e) = 0 % 218.55/150.64 | % 218.55/150.64 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.55/150.64 | (538) $false % 218.55/150.64 | % 218.55/150.64 |-The branch is then unsatisfiable % 218.55/150.64 |-Branch two: % 218.55/150.65 | (11614) all_329_0_2256 = 0 & mem(all_85_1_73, e) = 0 % 218.55/150.65 | % 218.55/150.65 | Applying alpha-rule on (11614) yields: % 218.55/150.65 | (11587) all_329_0_2256 = 0 % 218.55/150.65 | (7603) mem(all_85_1_73, e) = 0 % 218.55/150.65 | % 218.55/150.65 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.55/150.65 | (538) $false % 218.55/150.65 | % 218.55/150.65 |-The branch is then unsatisfiable % 218.55/150.65 |-Branch two: % 218.55/150.65 | (6508) all_227_0_1228 = 0 & mem(all_135_1_87, all_0_4_4) = 0 % 218.55/150.65 | % 218.55/150.65 | Applying alpha-rule on (6508) yields: % 218.55/150.65 | (6163) all_227_0_1228 = 0 % 218.55/150.65 | (364) mem(all_135_1_87, all_0_4_4) = 0 % 218.55/150.65 | % 218.55/150.65 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_135_1_87, all_0_4_4) = 0, yields: % 218.55/150.65 | (365) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_5_5) = 0)) % 218.55/150.65 | % 218.55/150.65 | Instantiating (365) with all_289_0_2290 yields: % 218.55/150.65 | (11714) (all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0) | (all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0) % 218.55/150.65 | % 218.55/150.65 +-Applying beta-rule and splitting (6146), into two cases. % 218.55/150.65 |-Branch one: % 218.55/150.65 | (6167) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_1_1) = 0 % 218.55/150.65 | % 218.55/150.65 | Applying alpha-rule on (6167) yields: % 218.55/150.65 | (6168) all_252_0_1232 = 0 % 218.55/150.65 | (369) mem(all_181_1_101, all_0_1_1) = 0 % 218.55/150.65 | % 218.55/150.65 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_181_1_101, all_0_1_1) = 0, yields: % 218.55/150.65 | (370) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_2_2) = 0)) % 218.55/150.65 | % 218.55/150.65 | Instantiating (370) with all_297_0_2291 yields: % 218.55/150.65 | (11719) (all_297_0_2291 = 0 & mem(all_181_1_101, all_72_0_67) = 0) | (all_297_0_2291 = 0 & mem(all_181_1_101, all_0_2_2) = 0) % 218.55/150.65 | % 218.55/150.65 +-Applying beta-rule and splitting (6149), into two cases. % 218.55/150.65 |-Branch one: % 218.55/150.65 | (6239) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_1_1) = 0 % 218.55/150.65 | % 218.55/150.65 | Applying alpha-rule on (6239) yields: % 218.55/150.65 | (6240) all_259_0_1233 = 0 % 218.55/150.65 | (405) mem(all_165_2_96, all_0_1_1) = 0 % 218.55/150.65 | % 218.55/150.65 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_165_2_96, all_0_1_1) = 0, yields: % 218.55/150.65 | (406) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_2_2) = 0)) % 218.55/150.65 | % 218.55/150.65 | Instantiating (406) with all_305_0_2292 yields: % 218.55/150.65 | (11724) (all_305_0_2292 = 0 & mem(all_165_2_96, all_72_0_67) = 0) | (all_305_0_2292 = 0 & mem(all_165_2_96, all_0_2_2) = 0) % 218.55/150.65 | % 218.55/150.65 +-Applying beta-rule and splitting (6151), into two cases. % 218.55/150.65 |-Branch one: % 218.55/150.65 | (6311) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_1_1) = 0 % 218.55/150.65 | % 218.55/150.65 | Applying alpha-rule on (6311) yields: % 218.55/150.65 | (6312) all_265_0_1234 = 0 % 218.55/150.65 | (441) mem(all_212_1_107, all_0_1_1) = 0 % 218.55/150.65 | % 218.55/150.65 | Instantiating formula (120) with all_0_1_1, all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms u(all_0_2_2, all_72_0_67) = all_0_1_1, mem(all_212_1_107, all_0_1_1) = 0, yields: % 218.55/150.65 | (442) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_2_2) = 0)) % 218.55/150.65 | % 218.55/150.65 | Instantiating (442) with all_313_0_2293 yields: % 218.55/150.65 | (11729) (all_313_0_2293 = 0 & mem(all_212_1_107, all_72_0_67) = 0) | (all_313_0_2293 = 0 & mem(all_212_1_107, all_0_2_2) = 0) % 218.55/150.65 | % 218.55/150.65 +-Applying beta-rule and splitting (11719), into two cases. % 218.55/150.65 |-Branch one: % 218.55/150.65 | (11730) all_297_0_2291 = 0 & mem(all_181_1_101, all_72_0_67) = 0 % 218.55/150.65 | % 218.55/150.65 | Applying alpha-rule on (11730) yields: % 218.55/150.65 | (11731) all_297_0_2291 = 0 % 218.55/150.65 | (386) mem(all_181_1_101, all_72_0_67) = 0 % 218.55/150.65 | % 218.55/150.65 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_181_1_101 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_181_1_101, all_72_0_67) = 0, yields: % 218.55/150.65 | (387) all_181_1_101 = all_0_2_2 % 218.55/150.65 | % 218.55/150.65 | From (387) and (259) follows: % 218.55/150.65 | (4478) mem(all_0_2_2, all_129_1_85) = all_181_0_100 % 218.55/150.65 | % 218.55/150.65 +-Applying beta-rule and splitting (11724), into two cases. % 218.55/150.65 |-Branch one: % 218.55/150.66 | (11735) all_305_0_2292 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 218.55/150.66 | % 218.55/150.66 | Applying alpha-rule on (11735) yields: % 218.55/150.66 | (11736) all_305_0_2292 = 0 % 218.55/150.66 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 218.55/150.66 | % 218.55/150.66 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 218.55/150.66 | (423) all_165_2_96 = all_0_2_2 % 218.55/150.66 | % 218.55/150.66 | From (423) and (248) follows: % 218.55/150.66 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 218.55/150.66 | % 218.55/150.66 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 218.55/150.66 | (526) all_181_0_100 = 0 % 218.55/150.66 | % 218.55/150.66 | Equations (526) can reduce 258 to: % 218.55/150.66 | (175) $false % 218.55/150.66 | % 218.55/150.66 |-The branch is then unsatisfiable % 218.55/150.66 |-Branch two: % 218.55/150.66 | (11742) all_305_0_2292 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 218.55/150.66 | % 218.55/150.66 | Applying alpha-rule on (11742) yields: % 218.55/150.66 | (11736) all_305_0_2292 = 0 % 218.55/150.66 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 218.55/150.66 | % 218.55/150.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 218.55/150.66 | (430) all_165_2_96 = all_0_3_3 % 218.55/150.66 | % 218.55/150.66 | From (430) and (6142) follows: % 218.55/150.66 | (6818) mem(all_244_1_1231, all_0_3_3) = all_244_0_1230 % 218.55/150.66 | % 218.55/150.66 +-Applying beta-rule and splitting (11729), into two cases. % 218.55/150.66 |-Branch one: % 218.55/150.66 | (11747) all_313_0_2293 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 218.55/150.66 | % 218.55/150.66 | Applying alpha-rule on (11747) yields: % 218.55/150.66 | (11748) all_313_0_2293 = 0 % 218.55/150.66 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 218.55/150.66 | % 218.55/150.66 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 218.55/150.66 | (459) all_212_1_107 = all_0_2_2 % 218.55/150.66 | % 218.55/150.66 | From (459) and (281) follows: % 218.55/150.66 | (4483) mem(all_0_2_2, all_129_1_85) = 0 % 218.55/150.66 | % 218.55/150.66 | Instantiating formula (65) with all_0_2_2, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_2_2, all_129_1_85) = all_181_0_100, mem(all_0_2_2, all_129_1_85) = 0, yields: % 218.55/150.66 | (526) all_181_0_100 = 0 % 218.55/150.66 | % 218.55/150.66 | Equations (526) can reduce 258 to: % 218.55/150.66 | (175) $false % 218.55/150.66 | % 218.55/150.66 |-The branch is then unsatisfiable % 218.55/150.66 |-Branch two: % 218.55/150.66 | (11754) all_313_0_2293 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 218.55/150.66 | % 218.55/150.66 | Applying alpha-rule on (11754) yields: % 218.55/150.66 | (11748) all_313_0_2293 = 0 % 218.55/150.66 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 218.55/150.66 | % 218.55/150.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 218.55/150.66 | (466) all_212_1_107 = all_0_3_3 % 218.55/150.66 | % 218.55/150.66 | From (466) and (6141) follows: % 218.55/150.66 | (6830) mem(all_244_1_1231, all_0_3_3) = 0 % 218.55/150.66 | % 218.55/150.66 | Instantiating formula (65) with all_244_1_1231, all_0_3_3, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_3_3) = all_244_0_1230, mem(all_244_1_1231, all_0_3_3) = 0, yields: % 218.55/150.66 | (6460) all_244_0_1230 = 0 % 218.55/150.66 | % 218.55/150.66 | Equations (6460) can reduce 6140 to: % 218.55/150.66 | (175) $false % 218.55/150.66 | % 218.55/150.66 |-The branch is then unsatisfiable % 218.55/150.66 |-Branch two: % 218.55/150.66 | (11761) all_297_0_2291 = 0 & mem(all_181_1_101, all_0_2_2) = 0 % 218.55/150.66 | % 218.55/150.66 | Applying alpha-rule on (11761) yields: % 218.55/150.66 | (11731) all_297_0_2291 = 0 % 218.55/150.66 | (393) mem(all_181_1_101, all_0_2_2) = 0 % 218.55/150.66 | % 218.55/150.66 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_181_1_101 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_181_1_101, all_0_2_2) = 0, yields: % 218.55/150.66 | (394) all_181_1_101 = all_0_3_3 % 218.55/150.66 | % 218.55/150.66 | From (394) and (259) follows: % 218.55/150.66 | (2228) mem(all_0_3_3, all_129_1_85) = all_181_0_100 % 218.55/150.66 | % 218.55/150.66 +-Applying beta-rule and splitting (11724), into two cases. % 218.55/150.66 |-Branch one: % 218.55/150.66 | (11735) all_305_0_2292 = 0 & mem(all_165_2_96, all_72_0_67) = 0 % 218.55/150.66 | % 218.55/150.66 | Applying alpha-rule on (11735) yields: % 218.55/150.67 | (11736) all_305_0_2292 = 0 % 218.55/150.67 | (422) mem(all_165_2_96, all_72_0_67) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_165_2_96 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_165_2_96, all_72_0_67) = 0, yields: % 218.55/150.67 | (423) all_165_2_96 = all_0_2_2 % 218.55/150.67 | % 218.55/150.67 | From (423) and (6142) follows: % 218.55/150.67 | (6842) mem(all_244_1_1231, all_0_2_2) = all_244_0_1230 % 218.55/150.67 | % 218.55/150.67 +-Applying beta-rule and splitting (11729), into two cases. % 218.55/150.67 |-Branch one: % 218.55/150.67 | (11747) all_313_0_2293 = 0 & mem(all_212_1_107, all_72_0_67) = 0 % 218.55/150.67 | % 218.55/150.67 | Applying alpha-rule on (11747) yields: % 218.55/150.67 | (11748) all_313_0_2293 = 0 % 218.55/150.67 | (458) mem(all_212_1_107, all_72_0_67) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (23) with all_72_0_67, all_0_2_2, all_212_1_107 and discharging atoms s(all_0_2_2) = all_72_0_67, mem(all_212_1_107, all_72_0_67) = 0, yields: % 218.55/150.67 | (459) all_212_1_107 = all_0_2_2 % 218.55/150.67 | % 218.55/150.67 | From (459) and (6141) follows: % 218.55/150.67 | (6847) mem(all_244_1_1231, all_0_2_2) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (65) with all_244_1_1231, all_0_2_2, 0, all_244_0_1230 and discharging atoms mem(all_244_1_1231, all_0_2_2) = all_244_0_1230, mem(all_244_1_1231, all_0_2_2) = 0, yields: % 218.55/150.67 | (6460) all_244_0_1230 = 0 % 218.55/150.67 | % 218.55/150.67 | Equations (6460) can reduce 6140 to: % 218.55/150.67 | (175) $false % 218.55/150.67 | % 218.55/150.67 |-The branch is then unsatisfiable % 218.55/150.67 |-Branch two: % 218.55/150.67 | (11754) all_313_0_2293 = 0 & mem(all_212_1_107, all_0_2_2) = 0 % 218.55/150.67 | % 218.55/150.67 | Applying alpha-rule on (11754) yields: % 218.55/150.67 | (11748) all_313_0_2293 = 0 % 218.55/150.67 | (465) mem(all_212_1_107, all_0_2_2) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_212_1_107 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_212_1_107, all_0_2_2) = 0, yields: % 218.55/150.67 | (466) all_212_1_107 = all_0_3_3 % 218.55/150.67 | % 218.55/150.67 | From (466) and (281) follows: % 218.55/150.67 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 218.55/150.67 | (526) all_181_0_100 = 0 % 218.55/150.67 | % 218.55/150.67 | Equations (526) can reduce 258 to: % 218.55/150.67 | (175) $false % 218.55/150.67 | % 218.55/150.67 |-The branch is then unsatisfiable % 218.55/150.67 |-Branch two: % 218.55/150.67 | (11742) all_305_0_2292 = 0 & mem(all_165_2_96, all_0_2_2) = 0 % 218.55/150.67 | % 218.55/150.67 | Applying alpha-rule on (11742) yields: % 218.55/150.67 | (11736) all_305_0_2292 = 0 % 218.55/150.67 | (429) mem(all_165_2_96, all_0_2_2) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_165_2_96 and discharging atoms s(all_0_3_3) = all_0_2_2, mem(all_165_2_96, all_0_2_2) = 0, yields: % 218.55/150.67 | (430) all_165_2_96 = all_0_3_3 % 218.55/150.67 | % 218.55/150.67 | From (430) and (248) follows: % 218.55/150.67 | (2240) mem(all_0_3_3, all_129_1_85) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (65) with all_0_3_3, all_129_1_85, 0, all_181_0_100 and discharging atoms mem(all_0_3_3, all_129_1_85) = all_181_0_100, mem(all_0_3_3, all_129_1_85) = 0, yields: % 218.55/150.67 | (526) all_181_0_100 = 0 % 218.55/150.67 | % 218.55/150.67 | Equations (526) can reduce 258 to: % 218.55/150.67 | (175) $false % 218.55/150.67 | % 218.55/150.67 |-The branch is then unsatisfiable % 218.55/150.67 |-Branch two: % 218.55/150.67 | (6378) all_265_0_1234 = 0 & mem(all_212_1_107, all_0_4_4) = 0 % 218.55/150.67 | % 218.55/150.67 | Applying alpha-rule on (6378) yields: % 218.55/150.67 | (6312) all_265_0_1234 = 0 % 218.55/150.67 | (472) mem(all_212_1_107, all_0_4_4) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_212_1_107, all_0_4_4) = 0, yields: % 218.55/150.67 | (473) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_5_5) = 0)) % 218.55/150.67 | % 218.55/150.67 | Instantiating (473) with all_313_0_2303 yields: % 218.55/150.67 | (11796) (all_313_0_2303 = 0 & mem(all_212_1_107, all_70_0_66) = 0) | (all_313_0_2303 = 0 & mem(all_212_1_107, all_0_5_5) = 0) % 218.55/150.67 | % 218.55/150.67 +-Applying beta-rule and splitting (9125), into two cases. % 218.55/150.67 |-Branch one: % 218.55/150.67 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 218.55/150.67 | % 218.55/150.67 | Applying alpha-rule on (9285) yields: % 218.55/150.67 | (9286) all_273_0_1800 = 0 % 218.55/150.67 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 218.55/150.67 | % 218.55/150.67 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 218.55/150.67 | (1720) all_110_1_81 = all_0_5_5 % 218.55/150.67 | % 218.55/150.67 | From (1720) and (210) follows: % 218.55/150.67 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 218.55/150.67 | % 218.55/150.67 +-Applying beta-rule and splitting (10294), into two cases. % 218.55/150.67 |-Branch one: % 218.55/150.67 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.55/150.67 | % 218.55/150.68 | Applying alpha-rule on (10454) yields: % 218.55/150.68 | (10455) all_281_0_1971 = 0 % 218.55/150.68 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.55/150.68 | % 218.55/150.68 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.55/150.68 | (7375) all_85_1_73 = all_0_6_6 % 218.55/150.68 | % 218.55/150.68 | From (7375) and (184) follows: % 218.55/150.68 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.55/150.68 | % 218.55/150.68 +-Applying beta-rule and splitting (11796), into two cases. % 218.55/150.68 |-Branch one: % 218.55/150.68 | (11807) all_313_0_2303 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 218.55/150.68 | % 218.55/150.68 | Applying alpha-rule on (11807) yields: % 218.55/150.68 | (11808) all_313_0_2303 = 0 % 218.55/150.68 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 218.55/150.68 | % 218.55/150.68 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 218.55/150.68 | (507) all_212_1_107 = all_0_5_5 % 218.55/150.68 | % 218.55/150.68 | From (507) and (301) follows: % 218.55/150.68 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.55/150.68 | % 218.55/150.68 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.55/150.68 | (233) all_110_0_80 = 0 % 218.55/150.68 | % 218.55/150.68 | Equations (233) can reduce 209 to: % 218.55/150.68 | (175) $false % 218.55/150.68 | % 218.55/150.68 |-The branch is then unsatisfiable % 218.55/150.68 |-Branch two: % 218.59/150.68 | (11814) all_313_0_2303 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 218.59/150.68 | % 218.59/150.68 | Applying alpha-rule on (11814) yields: % 218.59/150.68 | (11808) all_313_0_2303 = 0 % 218.59/150.68 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 218.59/150.68 | % 218.59/150.68 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 218.59/150.68 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 218.59/150.68 | % 218.59/150.68 | Instantiating (514) with all_379_0_2309 yields: % 218.59/150.68 | (11818) (all_379_0_2309 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_379_0_2309 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 218.59/150.68 | % 218.59/150.68 +-Applying beta-rule and splitting (11818), into two cases. % 218.59/150.68 |-Branch one: % 218.59/150.68 | (11819) all_379_0_2309 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 218.59/150.68 | % 218.59/150.68 | Applying alpha-rule on (11819) yields: % 218.59/150.68 | (11820) all_379_0_2309 = 0 % 218.59/150.68 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 218.59/150.68 | % 218.59/150.68 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 218.59/150.68 | (524) all_212_1_107 = all_0_6_6 % 218.59/150.68 | % 218.59/150.68 | From (524) and (312) follows: % 218.59/150.68 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.59/150.68 | % 218.59/150.68 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.59/150.68 | (212) all_85_0_72 = 0 % 218.59/150.68 | % 218.59/150.68 | Equations (212) can reduce 183 to: % 218.59/150.68 | (175) $false % 218.59/150.68 | % 218.59/150.68 |-The branch is then unsatisfiable % 218.59/150.68 |-Branch two: % 218.59/150.68 | (11826) all_379_0_2309 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 218.59/150.68 | % 218.59/150.68 | Applying alpha-rule on (11826) yields: % 218.59/150.68 | (11820) all_379_0_2309 = 0 % 218.59/150.68 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 218.59/150.68 | % 218.59/150.68 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 218.59/150.68 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 218.59/150.68 | % 218.59/150.68 | Instantiating (531) with all_395_0_2311 yields: % 218.59/150.68 | (11830) (all_395_0_2311 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_2311 = 0 & mem(all_212_1_107, e) = 0) % 218.59/150.68 | % 218.59/150.68 +-Applying beta-rule and splitting (11830), into two cases. % 218.59/150.68 |-Branch one: % 218.59/150.68 | (11831) all_395_0_2311 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 218.59/150.68 | % 218.59/150.68 | Applying alpha-rule on (11831) yields: % 218.59/150.68 | (11832) all_395_0_2311 = 0 % 218.59/150.68 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 218.59/150.68 | % 218.59/150.68 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 218.59/150.68 | (536) all_212_1_107 = e % 218.59/150.68 | % 218.59/150.68 | From (536) and (6141) follows: % 218.59/150.69 | (6440) mem(all_244_1_1231, e) = 0 % 218.59/150.69 | % 218.59/150.69 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 218.59/150.69 | (538) $false % 218.59/150.69 | % 218.59/150.69 |-The branch is then unsatisfiable % 218.59/150.69 |-Branch two: % 218.59/150.69 | (11837) all_395_0_2311 = 0 & mem(all_212_1_107, e) = 0 % 218.59/150.69 | % 218.59/150.69 | Applying alpha-rule on (11837) yields: % 218.59/150.69 | (11832) all_395_0_2311 = 0 % 218.59/150.69 | (541) mem(all_212_1_107, e) = 0 % 218.59/150.69 | % 218.59/150.69 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 218.59/150.69 | (538) $false % 218.59/150.69 | % 218.59/150.69 |-The branch is then unsatisfiable % 218.59/150.69 |-Branch two: % 218.59/150.69 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.59/150.69 | % 218.59/150.69 | Applying alpha-rule on (10493) yields: % 218.59/150.69 | (10455) all_281_0_1971 = 0 % 218.59/150.69 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.59/150.69 | % 218.59/150.69 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.59/150.69 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.59/150.69 | % 218.59/150.69 | Instantiating (7517) with all_332_0_2312 yields: % 218.59/150.69 | (11845) (all_332_0_2312 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_2312 = 0 & mem(all_85_1_73, e) = 0) % 218.59/150.69 | % 218.59/150.69 +-Applying beta-rule and splitting (11714), into two cases. % 218.59/150.69 |-Branch one: % 218.59/150.69 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.59/150.69 | % 218.59/150.69 | Applying alpha-rule on (11846) yields: % 218.59/150.69 | (11847) all_289_0_2290 = 0 % 218.59/150.69 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.59/150.69 | % 218.59/150.69 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.59/150.69 | (478) all_135_1_87 = all_0_5_5 % 218.59/150.69 | % 218.59/150.69 | From (478) and (232) follows: % 218.59/150.69 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.59/150.69 | % 218.59/150.69 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.59/150.69 | (233) all_110_0_80 = 0 % 218.59/150.69 | % 218.59/150.69 | Equations (233) can reduce 209 to: % 218.59/150.69 | (175) $false % 218.59/150.69 | % 218.59/150.69 |-The branch is then unsatisfiable % 218.59/150.69 |-Branch two: % 218.59/150.69 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.59/150.69 | % 218.59/150.69 | Applying alpha-rule on (11853) yields: % 218.59/150.69 | (11847) all_289_0_2290 = 0 % 218.59/150.69 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.59/150.69 | % 218.59/150.69 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.59/150.69 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.59/150.69 | % 218.59/150.69 | Instantiating (608) with all_340_0_2313 yields: % 218.59/150.69 | (11857) (all_340_0_2313 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_2313 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.59/150.69 | % 218.59/150.69 +-Applying beta-rule and splitting (11796), into two cases. % 218.59/150.69 |-Branch one: % 218.59/150.69 | (11807) all_313_0_2303 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 218.59/150.69 | % 218.59/150.69 | Applying alpha-rule on (11807) yields: % 218.59/150.69 | (11808) all_313_0_2303 = 0 % 218.59/150.69 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 218.59/150.69 | % 218.59/150.69 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 218.59/150.69 | (507) all_212_1_107 = all_0_5_5 % 218.59/150.69 | % 218.59/150.69 | From (507) and (301) follows: % 218.59/150.69 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.59/150.69 | % 218.59/150.69 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.59/150.69 | (233) all_110_0_80 = 0 % 218.59/150.69 | % 218.59/150.69 | Equations (233) can reduce 209 to: % 218.59/150.69 | (175) $false % 218.59/150.69 | % 218.59/150.69 |-The branch is then unsatisfiable % 218.59/150.69 |-Branch two: % 218.59/150.70 | (11814) all_313_0_2303 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 218.59/150.70 | % 218.59/150.70 | Applying alpha-rule on (11814) yields: % 218.59/150.70 | (11808) all_313_0_2303 = 0 % 218.59/150.70 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 218.59/150.70 | % 218.59/150.70 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 218.59/150.70 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 218.59/150.70 | % 218.59/150.70 | Instantiating (514) with all_376_0_2318 yields: % 218.59/150.70 | (11869) (all_376_0_2318 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_376_0_2318 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 218.59/150.70 | % 218.59/150.70 +-Applying beta-rule and splitting (11845), into two cases. % 218.59/150.70 |-Branch one: % 218.59/150.70 | (11870) all_332_0_2312 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.59/150.70 | % 218.59/150.70 | Applying alpha-rule on (11870) yields: % 218.59/150.70 | (11871) all_332_0_2312 = 0 % 218.59/150.70 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.59/150.70 | % 218.59/150.70 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.59/150.70 | (7551) all_85_1_73 = e % 218.59/150.70 | % 218.59/150.70 | From (7551) and (184) follows: % 218.59/150.70 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.59/150.70 | % 218.59/150.70 +-Applying beta-rule and splitting (11857), into two cases. % 218.59/150.70 |-Branch one: % 218.59/150.70 | (11875) all_340_0_2313 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.59/150.70 | % 218.59/150.70 | Applying alpha-rule on (11875) yields: % 218.59/150.70 | (11876) all_340_0_2313 = 0 % 218.59/150.70 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.59/150.70 | % 218.59/150.70 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.59/150.70 | (642) all_135_1_87 = all_0_6_6 % 218.59/150.70 | % 218.59/150.70 | From (642) and (231) follows: % 218.59/150.70 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 218.59/150.70 | % 218.59/150.70 +-Applying beta-rule and splitting (11869), into two cases. % 218.59/150.70 |-Branch one: % 218.59/150.70 | (11880) all_376_0_2318 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 218.59/150.70 | % 218.59/150.70 | Applying alpha-rule on (11880) yields: % 218.59/150.70 | (11881) all_376_0_2318 = 0 % 218.59/150.70 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 218.59/150.70 | % 218.59/150.70 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 218.59/150.70 | (524) all_212_1_107 = all_0_6_6 % 218.59/150.70 | % 218.59/150.70 | From (524) and (286) follows: % 218.59/150.70 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 218.59/150.70 | % 218.59/150.70 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 218.59/150.70 | (261) all_135_0_86 = 0 % 218.59/150.70 | % 218.59/150.70 | Equations (261) can reduce 230 to: % 218.59/150.70 | (175) $false % 218.59/150.70 | % 218.59/150.70 |-The branch is then unsatisfiable % 218.59/150.70 |-Branch two: % 218.59/150.70 | (11887) all_376_0_2318 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 218.59/150.70 | % 218.59/150.70 | Applying alpha-rule on (11887) yields: % 218.59/150.70 | (11881) all_376_0_2318 = 0 % 218.59/150.70 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 218.59/150.70 | % 218.59/150.70 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 218.59/150.70 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 218.59/150.70 | % 218.59/150.70 | Instantiating (531) with all_406_0_2319 yields: % 218.59/150.70 | (11891) (all_406_0_2319 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_406_0_2319 = 0 & mem(all_212_1_107, e) = 0) % 218.59/150.70 | % 218.59/150.70 +-Applying beta-rule and splitting (11891), into two cases. % 218.59/150.70 |-Branch one: % 218.59/150.70 | (11892) all_406_0_2319 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 218.59/150.70 | % 218.59/150.70 | Applying alpha-rule on (11892) yields: % 218.59/150.70 | (11893) all_406_0_2319 = 0 % 218.59/150.70 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 218.59/150.70 | % 218.59/150.70 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 218.59/150.70 | (536) all_212_1_107 = e % 218.59/150.70 | % 218.59/150.70 | From (536) and (6141) follows: % 218.59/150.71 | (6440) mem(all_244_1_1231, e) = 0 % 218.59/150.71 | % 218.59/150.71 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 218.59/150.71 | (538) $false % 218.59/150.71 | % 218.59/150.71 |-The branch is then unsatisfiable % 218.59/150.71 |-Branch two: % 218.59/150.71 | (11898) all_406_0_2319 = 0 & mem(all_212_1_107, e) = 0 % 218.59/150.71 | % 218.59/150.71 | Applying alpha-rule on (11898) yields: % 218.59/150.71 | (11893) all_406_0_2319 = 0 % 218.59/150.71 | (541) mem(all_212_1_107, e) = 0 % 218.59/150.71 | % 218.59/150.71 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 218.59/150.71 | (538) $false % 218.59/150.71 | % 218.59/150.71 |-The branch is then unsatisfiable % 218.59/150.71 |-Branch two: % 218.59/150.71 | (11902) all_340_0_2313 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.59/150.71 | % 218.59/150.71 | Applying alpha-rule on (11902) yields: % 218.59/150.71 | (11876) all_340_0_2313 = 0 % 218.59/150.71 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.59/150.71 | % 218.59/150.71 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.59/150.71 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.59/150.71 | % 218.59/150.71 | Instantiating (669) with all_395_0_2320 yields: % 218.59/150.71 | (11906) (all_395_0_2320 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_395_0_2320 = 0 & mem(all_135_1_87, e) = 0) % 218.59/150.71 | % 218.59/150.71 +-Applying beta-rule and splitting (11906), into two cases. % 218.59/150.71 |-Branch one: % 218.59/150.71 | (11907) all_395_0_2320 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.59/150.71 | % 218.59/150.71 | Applying alpha-rule on (11907) yields: % 218.59/150.71 | (11908) all_395_0_2320 = 0 % 218.59/150.71 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.59/150.71 | % 218.59/150.71 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.59/150.71 | (711) all_135_1_87 = e % 218.59/150.71 | % 218.59/150.71 | From (711) and (241) follows: % 218.59/150.71 | (7594) mem(e, all_57_1_62) = 0 % 218.59/150.71 | % 218.59/150.71 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.59/150.71 | (212) all_85_0_72 = 0 % 218.59/150.71 | % 218.59/150.71 | Equations (212) can reduce 183 to: % 218.59/150.71 | (175) $false % 218.59/150.71 | % 218.59/150.71 |-The branch is then unsatisfiable % 218.59/150.71 |-Branch two: % 218.59/150.71 | (11914) all_395_0_2320 = 0 & mem(all_135_1_87, e) = 0 % 218.59/150.71 | % 218.59/150.71 | Applying alpha-rule on (11914) yields: % 218.59/150.71 | (11908) all_395_0_2320 = 0 % 218.59/150.71 | (726) mem(all_135_1_87, e) = 0 % 218.59/150.71 | % 218.59/150.71 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.59/150.71 | (538) $false % 218.59/150.71 | % 218.59/150.71 |-The branch is then unsatisfiable % 218.59/150.71 |-Branch two: % 218.59/150.71 | (11918) all_332_0_2312 = 0 & mem(all_85_1_73, e) = 0 % 218.59/150.71 | % 218.59/150.71 | Applying alpha-rule on (11918) yields: % 218.59/150.71 | (11871) all_332_0_2312 = 0 % 218.59/150.71 | (7603) mem(all_85_1_73, e) = 0 % 218.59/150.71 | % 218.59/150.71 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.59/150.71 | (538) $false % 218.59/150.71 | % 218.59/150.71 |-The branch is then unsatisfiable % 218.59/150.72 |-Branch two: % 218.59/150.72 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 218.59/150.72 | % 218.59/150.72 | Applying alpha-rule on (9292) yields: % 218.59/150.72 | (9286) all_273_0_1800 = 0 % 218.59/150.72 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 218.59/150.72 | % 218.59/150.72 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 218.59/150.72 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 218.59/150.72 | % 218.59/150.72 | Instantiating (1850) with all_321_0_2327 yields: % 218.59/150.72 | (11926) (all_321_0_2327 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_321_0_2327 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 218.59/150.72 | % 218.59/150.72 +-Applying beta-rule and splitting (10294), into two cases. % 218.59/150.72 |-Branch one: % 218.59/150.72 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.59/150.72 | % 218.59/150.72 | Applying alpha-rule on (10454) yields: % 218.59/150.72 | (10455) all_281_0_1971 = 0 % 218.59/150.72 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.59/150.72 | % 218.59/150.72 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.59/150.72 | (7375) all_85_1_73 = all_0_6_6 % 218.59/150.72 | % 218.59/150.72 | From (7375) and (184) follows: % 218.59/150.72 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.59/150.72 | % 218.59/150.72 +-Applying beta-rule and splitting (11714), into two cases. % 218.59/150.72 |-Branch one: % 218.59/150.72 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.59/150.72 | % 218.59/150.72 | Applying alpha-rule on (11846) yields: % 218.59/150.72 | (11847) all_289_0_2290 = 0 % 218.59/150.72 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.59/150.72 | % 218.59/150.72 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.59/150.72 | (478) all_135_1_87 = all_0_5_5 % 218.59/150.72 | % 218.59/150.72 | From (478) and (231) follows: % 218.59/150.72 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 218.59/150.72 | % 218.59/150.72 +-Applying beta-rule and splitting (11796), into two cases. % 218.59/150.72 |-Branch one: % 218.59/150.72 | (11807) all_313_0_2303 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 218.59/150.72 | % 218.59/150.72 | Applying alpha-rule on (11807) yields: % 218.59/150.72 | (11808) all_313_0_2303 = 0 % 218.59/150.72 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 218.59/150.72 | % 218.59/150.72 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 218.59/150.72 | (507) all_212_1_107 = all_0_5_5 % 218.59/150.72 | % 218.59/150.72 | From (507) and (286) follows: % 218.59/150.72 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 218.59/150.72 | % 218.59/150.72 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 218.59/150.72 | (261) all_135_0_86 = 0 % 218.59/150.72 | % 218.59/150.72 | Equations (261) can reduce 230 to: % 218.59/150.72 | (175) $false % 218.59/150.72 | % 218.59/150.72 |-The branch is then unsatisfiable % 218.59/150.72 |-Branch two: % 218.59/150.72 | (11814) all_313_0_2303 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 218.59/150.72 | % 218.59/150.72 | Applying alpha-rule on (11814) yields: % 218.59/150.72 | (11808) all_313_0_2303 = 0 % 218.59/150.72 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 218.59/150.72 | % 218.59/150.72 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 218.59/150.72 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 218.59/150.72 | % 218.59/150.72 | Instantiating (514) with all_379_0_2332 yields: % 218.59/150.72 | (11948) (all_379_0_2332 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_379_0_2332 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 218.59/150.72 | % 218.59/150.72 +-Applying beta-rule and splitting (11948), into two cases. % 218.59/150.72 |-Branch one: % 218.59/150.72 | (11949) all_379_0_2332 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 218.59/150.72 | % 218.59/150.72 | Applying alpha-rule on (11949) yields: % 218.59/150.73 | (11950) all_379_0_2332 = 0 % 218.59/150.73 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 218.59/150.73 | % 218.59/150.73 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 218.59/150.73 | (524) all_212_1_107 = all_0_6_6 % 218.59/150.73 | % 218.59/150.73 | From (524) and (312) follows: % 218.59/150.73 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.59/150.73 | % 218.59/150.73 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.59/150.73 | (212) all_85_0_72 = 0 % 218.59/150.73 | % 218.59/150.73 | Equations (212) can reduce 183 to: % 218.59/150.73 | (175) $false % 218.59/150.73 | % 218.59/150.73 |-The branch is then unsatisfiable % 218.59/150.73 |-Branch two: % 218.59/150.73 | (11956) all_379_0_2332 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 218.59/150.73 | % 218.59/150.73 | Applying alpha-rule on (11956) yields: % 218.59/150.73 | (11950) all_379_0_2332 = 0 % 218.59/150.73 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 218.59/150.73 | % 218.59/150.73 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 218.59/150.73 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 218.59/150.73 | % 218.59/150.73 | Instantiating (531) with all_395_0_2334 yields: % 218.59/150.73 | (11960) (all_395_0_2334 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_395_0_2334 = 0 & mem(all_212_1_107, e) = 0) % 218.59/150.73 | % 218.59/150.73 +-Applying beta-rule and splitting (11960), into two cases. % 218.59/150.73 |-Branch one: % 218.59/150.73 | (11961) all_395_0_2334 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 218.59/150.73 | % 218.59/150.73 | Applying alpha-rule on (11961) yields: % 218.59/150.73 | (11962) all_395_0_2334 = 0 % 218.59/150.73 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 218.59/150.73 | % 218.59/150.73 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 218.59/150.73 | (536) all_212_1_107 = e % 218.59/150.73 | % 218.59/150.73 | From (536) and (6141) follows: % 218.59/150.73 | (6440) mem(all_244_1_1231, e) = 0 % 218.59/150.73 | % 218.59/150.73 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 218.59/150.73 | (538) $false % 218.59/150.73 | % 218.59/150.73 |-The branch is then unsatisfiable % 218.59/150.73 |-Branch two: % 218.59/150.73 | (11967) all_395_0_2334 = 0 & mem(all_212_1_107, e) = 0 % 218.59/150.73 | % 218.59/150.73 | Applying alpha-rule on (11967) yields: % 218.59/150.73 | (11962) all_395_0_2334 = 0 % 218.59/150.73 | (541) mem(all_212_1_107, e) = 0 % 218.59/150.73 | % 218.59/150.73 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 218.59/150.73 | (538) $false % 218.59/150.73 | % 218.59/150.73 |-The branch is then unsatisfiable % 218.59/150.73 |-Branch two: % 218.59/150.73 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.59/150.73 | % 218.59/150.73 | Applying alpha-rule on (11853) yields: % 218.59/150.73 | (11847) all_289_0_2290 = 0 % 218.59/150.73 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.59/150.73 | % 218.59/150.73 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.59/150.73 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.59/150.73 | % 218.59/150.73 | Instantiating (608) with all_340_0_2335 yields: % 218.59/150.73 | (11975) (all_340_0_2335 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_2335 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.59/150.73 | % 218.59/150.73 +-Applying beta-rule and splitting (11926), into two cases. % 218.59/150.73 |-Branch one: % 218.59/150.73 | (11976) all_321_0_2327 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.59/150.73 | % 218.59/150.73 | Applying alpha-rule on (11976) yields: % 218.59/150.73 | (11977) all_321_0_2327 = 0 % 218.59/150.73 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.59/150.73 | % 218.59/150.73 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.59/150.74 | (1884) all_110_1_81 = all_0_6_6 % 218.59/150.74 | % 218.59/150.74 | From (1884) and (211) follows: % 218.59/150.74 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.59/150.74 | % 218.59/150.74 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.59/150.74 | (212) all_85_0_72 = 0 % 218.59/150.74 | % 218.59/150.74 | Equations (212) can reduce 183 to: % 218.59/150.74 | (175) $false % 218.59/150.74 | % 218.59/150.74 |-The branch is then unsatisfiable % 218.59/150.74 |-Branch two: % 218.65/150.74 | (11983) all_321_0_2327 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.65/150.74 | % 218.65/150.74 | Applying alpha-rule on (11983) yields: % 218.65/150.74 | (11977) all_321_0_2327 = 0 % 218.65/150.74 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.65/150.74 | % 218.65/150.74 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.65/150.74 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.65/150.74 | % 218.65/150.74 | Instantiating (1911) with all_402_0_2356 yields: % 218.65/150.74 | (11987) (all_402_0_2356 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_402_0_2356 = 0 & mem(all_110_1_81, e) = 0) % 218.65/150.74 | % 218.65/150.74 +-Applying beta-rule and splitting (11975), into two cases. % 218.65/150.74 |-Branch one: % 218.65/150.74 | (11988) all_340_0_2335 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.65/150.74 | % 218.65/150.74 | Applying alpha-rule on (11988) yields: % 218.65/150.74 | (11989) all_340_0_2335 = 0 % 218.65/150.74 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.65/150.74 | % 218.65/150.74 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.65/150.74 | (642) all_135_1_87 = all_0_6_6 % 218.65/150.74 | % 218.65/150.74 | From (642) and (241) follows: % 218.65/150.74 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.65/150.74 | % 218.65/150.74 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.65/150.74 | (212) all_85_0_72 = 0 % 218.65/150.74 | % 218.65/150.74 | Equations (212) can reduce 183 to: % 218.65/150.74 | (175) $false % 218.65/150.74 | % 218.65/150.74 |-The branch is then unsatisfiable % 218.65/150.74 |-Branch two: % 218.65/150.74 | (11995) all_340_0_2335 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.65/150.74 | % 218.65/150.74 | Applying alpha-rule on (11995) yields: % 218.65/150.74 | (11989) all_340_0_2335 = 0 % 218.65/150.74 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.65/150.74 | % 218.65/150.74 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.65/150.74 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.65/150.74 | % 218.65/150.74 | Instantiating (669) with all_417_0_2360 yields: % 218.65/150.74 | (11999) (all_417_0_2360 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_417_0_2360 = 0 & mem(all_135_1_87, e) = 0) % 218.65/150.74 | % 218.65/150.74 +-Applying beta-rule and splitting (11987), into two cases. % 218.65/150.74 |-Branch one: % 218.65/150.74 | (12000) all_402_0_2356 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.65/150.74 | % 218.65/150.74 | Applying alpha-rule on (12000) yields: % 218.65/150.74 | (12001) all_402_0_2356 = 0 % 218.65/150.74 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.65/150.74 | % 218.65/150.74 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.65/150.74 | (1953) all_110_1_81 = e % 218.65/150.74 | % 218.65/150.74 | From (1953) and (210) follows: % 218.65/150.74 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 218.65/150.74 | % 218.65/150.74 +-Applying beta-rule and splitting (11999), into two cases. % 218.65/150.74 |-Branch one: % 218.65/150.74 | (12005) all_417_0_2360 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.65/150.74 | % 218.65/150.74 | Applying alpha-rule on (12005) yields: % 218.65/150.74 | (12006) all_417_0_2360 = 0 % 218.65/150.74 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.65/150.74 | % 218.65/150.74 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.65/150.74 | (711) all_135_1_87 = e % 218.65/150.74 | % 218.65/150.74 | From (711) and (232) follows: % 218.65/150.74 | (1959) mem(e, all_74_1_69) = 0 % 218.65/150.74 | % 218.65/150.74 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 218.65/150.74 | (233) all_110_0_80 = 0 % 218.65/150.74 | % 218.65/150.74 | Equations (233) can reduce 209 to: % 218.65/150.74 | (175) $false % 218.65/150.74 | % 218.65/150.74 |-The branch is then unsatisfiable % 218.65/150.74 |-Branch two: % 218.65/150.74 | (12012) all_417_0_2360 = 0 & mem(all_135_1_87, e) = 0 % 218.65/150.74 | % 218.65/150.75 | Applying alpha-rule on (12012) yields: % 218.65/150.75 | (12006) all_417_0_2360 = 0 % 218.65/150.75 | (726) mem(all_135_1_87, e) = 0 % 218.65/150.75 | % 218.65/150.75 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.65/150.75 | (538) $false % 218.65/150.75 | % 218.65/150.75 |-The branch is then unsatisfiable % 218.65/150.75 |-Branch two: % 218.65/150.75 | (12016) all_402_0_2356 = 0 & mem(all_110_1_81, e) = 0 % 218.65/150.75 | % 218.65/150.75 | Applying alpha-rule on (12016) yields: % 218.65/150.75 | (12001) all_402_0_2356 = 0 % 218.65/150.75 | (1968) mem(all_110_1_81, e) = 0 % 218.65/150.75 | % 218.65/150.75 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.65/150.75 | (538) $false % 218.65/150.75 | % 218.65/150.75 |-The branch is then unsatisfiable % 218.65/150.75 |-Branch two: % 218.65/150.75 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.65/150.75 | % 218.65/150.75 | Applying alpha-rule on (10493) yields: % 218.65/150.75 | (10455) all_281_0_1971 = 0 % 218.65/150.75 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.65/150.75 | % 218.65/150.75 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.65/150.75 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.65/150.75 | % 218.65/150.75 | Instantiating (7517) with all_329_0_2362 yields: % 218.65/150.75 | (12024) (all_329_0_2362 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_329_0_2362 = 0 & mem(all_85_1_73, e) = 0) % 218.65/150.75 | % 218.65/150.75 +-Applying beta-rule and splitting (11714), into two cases. % 218.65/150.75 |-Branch one: % 218.65/150.75 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.65/150.75 | % 218.65/150.75 | Applying alpha-rule on (11846) yields: % 218.65/150.75 | (11847) all_289_0_2290 = 0 % 218.65/150.75 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.65/150.75 | % 218.65/150.75 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.65/150.75 | (478) all_135_1_87 = all_0_5_5 % 218.65/150.75 | % 218.65/150.75 | From (478) and (231) follows: % 218.65/150.75 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 218.65/150.75 | % 218.65/150.75 +-Applying beta-rule and splitting (11796), into two cases. % 218.65/150.75 |-Branch one: % 218.65/150.75 | (11807) all_313_0_2303 = 0 & mem(all_212_1_107, all_70_0_66) = 0 % 218.65/150.75 | % 218.65/150.75 | Applying alpha-rule on (11807) yields: % 218.65/150.75 | (11808) all_313_0_2303 = 0 % 218.65/150.75 | (506) mem(all_212_1_107, all_70_0_66) = 0 % 218.65/150.75 | % 218.65/150.75 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_212_1_107 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_212_1_107, all_70_0_66) = 0, yields: % 218.65/150.75 | (507) all_212_1_107 = all_0_5_5 % 218.65/150.75 | % 218.65/150.75 | From (507) and (286) follows: % 218.65/150.75 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 218.65/150.75 | % 218.65/150.75 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 218.65/150.75 | (261) all_135_0_86 = 0 % 218.68/150.75 | % 218.68/150.75 | Equations (261) can reduce 230 to: % 218.68/150.75 | (175) $false % 218.68/150.75 | % 218.68/150.75 |-The branch is then unsatisfiable % 218.68/150.75 |-Branch two: % 218.68/150.75 | (11814) all_313_0_2303 = 0 & mem(all_212_1_107, all_0_5_5) = 0 % 218.68/150.75 | % 218.68/150.75 | Applying alpha-rule on (11814) yields: % 218.68/150.75 | (11808) all_313_0_2303 = 0 % 218.68/150.76 | (513) mem(all_212_1_107, all_0_5_5) = 0 % 218.68/150.76 | % 218.68/150.76 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_212_1_107, all_0_5_5) = 0, yields: % 218.68/150.76 | (514) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (v0 = 0 & mem(all_212_1_107, all_0_6_6) = 0)) % 218.68/150.76 | % 218.68/150.76 | Instantiating (514) with all_376_0_2367 yields: % 218.68/150.76 | (12041) (all_376_0_2367 = 0 & mem(all_212_1_107, all_0_3_3) = 0) | (all_376_0_2367 = 0 & mem(all_212_1_107, all_0_6_6) = 0) % 218.68/150.76 | % 218.68/150.76 +-Applying beta-rule and splitting (11926), into two cases. % 218.68/150.76 |-Branch one: % 218.68/150.76 | (11976) all_321_0_2327 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.68/150.76 | % 218.68/150.76 | Applying alpha-rule on (11976) yields: % 218.68/150.76 | (11977) all_321_0_2327 = 0 % 218.68/150.76 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.68/150.76 | % 218.68/150.76 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.68/150.76 | (1884) all_110_1_81 = all_0_6_6 % 218.68/150.76 | % 218.68/150.76 | From (1884) and (210) follows: % 218.68/150.76 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.68/150.76 | % 218.68/150.76 +-Applying beta-rule and splitting (12041), into two cases. % 218.68/150.76 |-Branch one: % 218.68/150.76 | (12047) all_376_0_2367 = 0 & mem(all_212_1_107, all_0_3_3) = 0 % 218.68/150.76 | % 218.68/150.76 | Applying alpha-rule on (12047) yields: % 218.68/150.76 | (12048) all_376_0_2367 = 0 % 218.68/150.76 | (523) mem(all_212_1_107, all_0_3_3) = 0 % 218.68/150.76 | % 218.68/150.76 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_212_1_107 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_212_1_107, all_0_3_3) = 0, yields: % 218.68/150.76 | (524) all_212_1_107 = all_0_6_6 % 218.68/150.76 | % 218.68/150.76 | From (524) and (301) follows: % 218.68/150.76 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.68/150.76 | % 218.68/150.76 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.68/150.76 | (233) all_110_0_80 = 0 % 218.68/150.76 | % 218.68/150.76 | Equations (233) can reduce 209 to: % 218.68/150.76 | (175) $false % 218.68/150.76 | % 218.68/150.76 |-The branch is then unsatisfiable % 218.68/150.76 |-Branch two: % 218.68/150.76 | (12054) all_376_0_2367 = 0 & mem(all_212_1_107, all_0_6_6) = 0 % 218.68/150.76 | % 218.68/150.76 | Applying alpha-rule on (12054) yields: % 218.68/150.76 | (12048) all_376_0_2367 = 0 % 218.68/150.76 | (530) mem(all_212_1_107, all_0_6_6) = 0 % 218.68/150.76 | % 218.68/150.76 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_212_1_107 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_212_1_107, all_0_6_6) = 0, yields: % 218.68/150.76 | (531) ? [v0] : ((v0 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (v0 = 0 & mem(all_212_1_107, e) = 0)) % 218.68/150.76 | % 218.68/150.76 | Instantiating (531) with all_406_0_2368 yields: % 218.68/150.76 | (12058) (all_406_0_2368 = 0 & mem(all_212_1_107, all_66_0_64) = 0) | (all_406_0_2368 = 0 & mem(all_212_1_107, e) = 0) % 218.68/150.76 | % 218.68/150.76 +-Applying beta-rule and splitting (12058), into two cases. % 218.68/150.76 |-Branch one: % 218.68/150.76 | (12059) all_406_0_2368 = 0 & mem(all_212_1_107, all_66_0_64) = 0 % 218.68/150.76 | % 218.68/150.76 | Applying alpha-rule on (12059) yields: % 218.68/150.76 | (12060) all_406_0_2368 = 0 % 218.68/150.76 | (535) mem(all_212_1_107, all_66_0_64) = 0 % 218.68/150.76 | % 218.68/150.76 | Instantiating formula (23) with all_66_0_64, e, all_212_1_107 and discharging atoms s(e) = all_66_0_64, mem(all_212_1_107, all_66_0_64) = 0, yields: % 218.68/150.76 | (536) all_212_1_107 = e % 218.68/150.76 | % 218.68/150.76 | From (536) and (6141) follows: % 218.68/150.76 | (6440) mem(all_244_1_1231, e) = 0 % 218.68/150.76 | % 218.68/150.76 | Instantiating formula (18) with all_244_1_1231 and discharging atoms mem(all_244_1_1231, e) = 0, yields: % 218.68/150.76 | (538) $false % 218.68/150.76 | % 218.68/150.76 |-The branch is then unsatisfiable % 218.68/150.76 |-Branch two: % 218.68/150.76 | (12065) all_406_0_2368 = 0 & mem(all_212_1_107, e) = 0 % 218.68/150.76 | % 218.68/150.76 | Applying alpha-rule on (12065) yields: % 218.68/150.76 | (12060) all_406_0_2368 = 0 % 218.68/150.76 | (541) mem(all_212_1_107, e) = 0 % 218.68/150.76 | % 218.68/150.76 | Instantiating formula (18) with all_212_1_107 and discharging atoms mem(all_212_1_107, e) = 0, yields: % 218.68/150.76 | (538) $false % 218.68/150.76 | % 218.68/150.76 |-The branch is then unsatisfiable % 218.68/150.77 |-Branch two: % 218.68/150.77 | (11983) all_321_0_2327 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.68/150.77 | % 218.68/150.77 | Applying alpha-rule on (11983) yields: % 218.68/150.77 | (11977) all_321_0_2327 = 0 % 218.68/150.77 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.68/150.77 | % 218.68/150.77 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.68/150.77 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.68/150.77 | % 218.68/150.77 | Instantiating (1911) with all_384_0_2369 yields: % 218.68/150.77 | (12073) (all_384_0_2369 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_384_0_2369 = 0 & mem(all_110_1_81, e) = 0) % 218.68/150.77 | % 218.68/150.77 +-Applying beta-rule and splitting (12024), into two cases. % 218.68/150.77 |-Branch one: % 218.68/150.77 | (12074) all_329_0_2362 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.68/150.77 | % 218.68/150.77 | Applying alpha-rule on (12074) yields: % 218.68/150.77 | (12075) all_329_0_2362 = 0 % 218.68/150.77 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.68/150.77 | % 218.68/150.77 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.68/150.77 | (7551) all_85_1_73 = e % 218.68/150.77 | % 218.68/150.77 | From (7551) and (184) follows: % 218.68/150.77 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.68/150.77 | % 218.68/150.77 +-Applying beta-rule and splitting (12073), into two cases. % 218.68/150.77 |-Branch one: % 218.68/150.77 | (12079) all_384_0_2369 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.68/150.77 | % 218.68/150.77 | Applying alpha-rule on (12079) yields: % 218.68/150.77 | (12080) all_384_0_2369 = 0 % 218.68/150.77 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.68/150.77 | % 218.68/150.77 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.68/150.77 | (1953) all_110_1_81 = e % 218.68/150.77 | % 218.68/150.77 | From (1953) and (211) follows: % 218.68/150.77 | (7594) mem(e, all_57_1_62) = 0 % 218.68/150.77 | % 218.68/150.77 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.68/150.77 | (212) all_85_0_72 = 0 % 218.68/150.77 | % 218.68/150.77 | Equations (212) can reduce 183 to: % 218.68/150.77 | (175) $false % 218.68/150.77 | % 218.68/150.77 |-The branch is then unsatisfiable % 218.68/150.77 |-Branch two: % 218.68/150.77 | (12086) all_384_0_2369 = 0 & mem(all_110_1_81, e) = 0 % 218.68/150.77 | % 218.68/150.77 | Applying alpha-rule on (12086) yields: % 218.68/150.77 | (12080) all_384_0_2369 = 0 % 218.68/150.77 | (1968) mem(all_110_1_81, e) = 0 % 218.68/150.77 | % 218.68/150.77 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.68/150.77 | (538) $false % 218.68/150.77 | % 218.68/150.77 |-The branch is then unsatisfiable % 218.68/150.77 |-Branch two: % 218.68/150.77 | (12090) all_329_0_2362 = 0 & mem(all_85_1_73, e) = 0 % 218.68/150.77 | % 218.68/150.77 | Applying alpha-rule on (12090) yields: % 218.68/150.77 | (12075) all_329_0_2362 = 0 % 218.68/150.77 | (7603) mem(all_85_1_73, e) = 0 % 218.68/150.77 | % 218.68/150.77 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.68/150.77 | (538) $false % 218.68/150.77 | % 218.68/150.77 |-The branch is then unsatisfiable % 218.68/150.78 |-Branch two: % 218.68/150.78 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.68/150.78 | % 218.68/150.78 | Applying alpha-rule on (11853) yields: % 218.68/150.78 | (11847) all_289_0_2290 = 0 % 218.68/150.78 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.68/150.78 | % 218.68/150.78 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.68/150.78 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.68/150.78 | % 218.68/150.78 | Instantiating (608) with all_337_0_2376 yields: % 218.68/150.78 | (12098) (all_337_0_2376 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_337_0_2376 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.68/150.78 | % 218.68/150.78 +-Applying beta-rule and splitting (11926), into two cases. % 218.68/150.78 |-Branch one: % 218.68/150.78 | (11976) all_321_0_2327 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.68/150.78 | % 218.68/150.78 | Applying alpha-rule on (11976) yields: % 218.68/150.78 | (11977) all_321_0_2327 = 0 % 218.68/150.78 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.68/150.78 | % 218.68/150.78 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.68/150.78 | (1884) all_110_1_81 = all_0_6_6 % 218.68/150.78 | % 218.68/150.78 | From (1884) and (210) follows: % 218.68/150.78 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.68/150.78 | % 218.68/150.78 +-Applying beta-rule and splitting (12024), into two cases. % 218.68/150.78 |-Branch one: % 218.68/150.78 | (12074) all_329_0_2362 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.68/150.78 | % 218.68/150.78 | Applying alpha-rule on (12074) yields: % 218.68/150.78 | (12075) all_329_0_2362 = 0 % 218.68/150.78 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.68/150.78 | % 218.68/150.78 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.68/150.78 | (7551) all_85_1_73 = e % 218.68/150.78 | % 218.68/150.78 | From (7551) and (184) follows: % 218.68/150.78 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.68/150.78 | % 218.68/150.78 +-Applying beta-rule and splitting (12098), into two cases. % 218.68/150.78 |-Branch one: % 218.68/150.78 | (12109) all_337_0_2376 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.68/150.78 | % 218.68/150.78 | Applying alpha-rule on (12109) yields: % 218.68/150.78 | (12110) all_337_0_2376 = 0 % 218.68/150.78 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.68/150.78 | % 218.68/150.78 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.68/150.78 | (642) all_135_1_87 = all_0_6_6 % 218.68/150.78 | % 218.68/150.78 | From (642) and (232) follows: % 218.68/150.78 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.68/150.78 | % 218.68/150.78 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.68/150.78 | (233) all_110_0_80 = 0 % 218.68/150.78 | % 218.68/150.78 | Equations (233) can reduce 209 to: % 218.68/150.78 | (175) $false % 218.68/150.78 | % 218.68/150.78 |-The branch is then unsatisfiable % 218.68/150.78 |-Branch two: % 218.68/150.78 | (12116) all_337_0_2376 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.68/150.78 | % 218.68/150.78 | Applying alpha-rule on (12116) yields: % 218.68/150.78 | (12110) all_337_0_2376 = 0 % 218.68/150.78 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.68/150.78 | % 218.68/150.78 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.68/150.78 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.68/150.78 | % 218.68/150.78 | Instantiating (669) with all_429_0_2393 yields: % 218.68/150.79 | (12120) (all_429_0_2393 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_429_0_2393 = 0 & mem(all_135_1_87, e) = 0) % 218.68/150.79 | % 218.68/150.79 +-Applying beta-rule and splitting (12120), into two cases. % 218.68/150.79 |-Branch one: % 218.68/150.79 | (12121) all_429_0_2393 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.68/150.79 | % 218.68/150.79 | Applying alpha-rule on (12121) yields: % 218.68/150.79 | (12122) all_429_0_2393 = 0 % 218.68/150.79 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.68/150.79 | % 218.68/150.79 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.68/150.79 | (711) all_135_1_87 = e % 218.68/150.79 | % 218.68/150.79 | From (711) and (241) follows: % 218.68/150.79 | (7594) mem(e, all_57_1_62) = 0 % 218.68/150.79 | % 218.68/150.79 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.68/150.79 | (212) all_85_0_72 = 0 % 218.68/150.79 | % 218.68/150.79 | Equations (212) can reduce 183 to: % 218.68/150.79 | (175) $false % 218.68/150.79 | % 218.68/150.79 |-The branch is then unsatisfiable % 218.68/150.79 |-Branch two: % 218.68/150.79 | (12128) all_429_0_2393 = 0 & mem(all_135_1_87, e) = 0 % 218.68/150.79 | % 218.68/150.79 | Applying alpha-rule on (12128) yields: % 218.68/150.79 | (12122) all_429_0_2393 = 0 % 218.68/150.79 | (726) mem(all_135_1_87, e) = 0 % 218.68/150.79 | % 218.68/150.79 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.68/150.79 | (538) $false % 218.68/150.79 | % 218.68/150.79 |-The branch is then unsatisfiable % 218.68/150.79 |-Branch two: % 218.68/150.79 | (12090) all_329_0_2362 = 0 & mem(all_85_1_73, e) = 0 % 218.68/150.79 | % 218.68/150.79 | Applying alpha-rule on (12090) yields: % 218.68/150.79 | (12075) all_329_0_2362 = 0 % 218.68/150.79 | (7603) mem(all_85_1_73, e) = 0 % 218.68/150.79 | % 218.68/150.79 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.68/150.79 | (538) $false % 218.68/150.79 | % 218.68/150.79 |-The branch is then unsatisfiable % 218.68/150.79 |-Branch two: % 218.68/150.79 | (11983) all_321_0_2327 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.68/150.79 | % 218.68/150.79 | Applying alpha-rule on (11983) yields: % 218.68/150.79 | (11977) all_321_0_2327 = 0 % 218.68/150.79 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.68/150.79 | % 218.68/150.79 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.68/150.79 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.68/150.79 | % 218.68/150.79 | Instantiating (1911) with all_399_0_2402 yields: % 218.68/150.79 | (12140) (all_399_0_2402 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_399_0_2402 = 0 & mem(all_110_1_81, e) = 0) % 218.68/150.79 | % 218.68/150.79 +-Applying beta-rule and splitting (12024), into two cases. % 218.68/150.79 |-Branch one: % 218.68/150.79 | (12074) all_329_0_2362 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.68/150.79 | % 218.68/150.79 | Applying alpha-rule on (12074) yields: % 218.68/150.79 | (12075) all_329_0_2362 = 0 % 218.68/150.79 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.68/150.79 | % 218.68/150.79 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.68/150.79 | (7551) all_85_1_73 = e % 218.68/150.79 | % 218.68/150.79 | From (7551) and (184) follows: % 218.68/150.80 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.68/150.80 | % 218.68/150.80 +-Applying beta-rule and splitting (12140), into two cases. % 218.68/150.80 |-Branch one: % 218.68/150.80 | (12146) all_399_0_2402 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.68/150.80 | % 218.68/150.80 | Applying alpha-rule on (12146) yields: % 218.68/150.80 | (12147) all_399_0_2402 = 0 % 218.68/150.80 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.68/150.80 | % 218.68/150.80 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.68/150.80 | (1953) all_110_1_81 = e % 218.68/150.80 | % 218.68/150.80 | From (1953) and (211) follows: % 218.68/150.80 | (7594) mem(e, all_57_1_62) = 0 % 218.68/150.80 | % 218.68/150.80 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.68/150.80 | (212) all_85_0_72 = 0 % 218.68/150.80 | % 218.68/150.80 | Equations (212) can reduce 183 to: % 218.68/150.80 | (175) $false % 218.68/150.80 | % 218.68/150.80 |-The branch is then unsatisfiable % 218.68/150.80 |-Branch two: % 218.68/150.80 | (12153) all_399_0_2402 = 0 & mem(all_110_1_81, e) = 0 % 218.68/150.80 | % 218.68/150.80 | Applying alpha-rule on (12153) yields: % 218.68/150.80 | (12147) all_399_0_2402 = 0 % 218.68/150.80 | (1968) mem(all_110_1_81, e) = 0 % 218.68/150.80 | % 218.68/150.80 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.68/150.80 | (538) $false % 218.68/150.80 | % 218.68/150.80 |-The branch is then unsatisfiable % 218.68/150.80 |-Branch two: % 218.68/150.80 | (12090) all_329_0_2362 = 0 & mem(all_85_1_73, e) = 0 % 218.68/150.80 | % 218.68/150.80 | Applying alpha-rule on (12090) yields: % 218.68/150.80 | (12075) all_329_0_2362 = 0 % 218.68/150.80 | (7603) mem(all_85_1_73, e) = 0 % 218.68/150.80 | % 218.68/150.80 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.68/150.80 | (538) $false % 218.68/150.80 | % 218.68/150.80 |-The branch is then unsatisfiable % 218.68/150.80 |-Branch two: % 218.68/150.80 | (6306) all_259_0_1233 = 0 & mem(all_165_2_96, all_0_4_4) = 0 % 218.68/150.80 | % 218.68/150.80 | Applying alpha-rule on (6306) yields: % 218.68/150.80 | (6240) all_259_0_1233 = 0 % 218.68/150.80 | (436) mem(all_165_2_96, all_0_4_4) = 0 % 218.68/150.80 | % 218.68/150.80 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_165_2_96, all_0_4_4) = 0, yields: % 218.68/150.80 | (437) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_5_5) = 0)) % 218.68/150.80 | % 218.68/150.80 | Instantiating (437) with all_305_0_2407 yields: % 218.68/150.80 | (12165) (all_305_0_2407 = 0 & mem(all_165_2_96, all_70_0_66) = 0) | (all_305_0_2407 = 0 & mem(all_165_2_96, all_0_5_5) = 0) % 218.68/150.80 | % 218.68/150.80 +-Applying beta-rule and splitting (9125), into two cases. % 218.68/150.80 |-Branch one: % 218.68/150.80 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 218.68/150.80 | % 218.68/150.80 | Applying alpha-rule on (9285) yields: % 218.68/150.80 | (9286) all_273_0_1800 = 0 % 218.68/150.80 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 218.68/150.80 | % 218.68/150.80 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 218.68/150.80 | (1720) all_110_1_81 = all_0_5_5 % 218.68/150.80 | % 218.68/150.80 | From (1720) and (210) follows: % 218.68/150.80 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 218.68/150.80 | % 218.68/150.80 +-Applying beta-rule and splitting (10294), into two cases. % 218.68/150.80 |-Branch one: % 218.68/150.81 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.68/150.81 | % 218.68/150.81 | Applying alpha-rule on (10454) yields: % 218.68/150.81 | (10455) all_281_0_1971 = 0 % 218.68/150.81 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.68/150.81 | % 218.68/150.81 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.68/150.81 | (7375) all_85_1_73 = all_0_6_6 % 218.68/150.81 | % 218.68/150.81 | From (7375) and (184) follows: % 218.68/150.81 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.68/150.81 | % 218.68/150.81 +-Applying beta-rule and splitting (11714), into two cases. % 218.68/150.81 |-Branch one: % 218.68/150.81 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.68/150.81 | % 218.68/150.81 | Applying alpha-rule on (11846) yields: % 218.68/150.81 | (11847) all_289_0_2290 = 0 % 218.68/150.81 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.68/150.81 | % 218.68/150.81 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.68/150.81 | (478) all_135_1_87 = all_0_5_5 % 218.68/150.81 | % 218.68/150.81 | From (478) and (232) follows: % 218.68/150.81 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.68/150.81 | % 218.68/150.81 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.68/150.81 | (233) all_110_0_80 = 0 % 218.68/150.81 | % 218.68/150.81 | Equations (233) can reduce 209 to: % 218.68/150.81 | (175) $false % 218.68/150.81 | % 218.68/150.81 |-The branch is then unsatisfiable % 218.68/150.81 |-Branch two: % 218.68/150.81 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.68/150.81 | % 218.68/150.81 | Applying alpha-rule on (11853) yields: % 218.68/150.81 | (11847) all_289_0_2290 = 0 % 218.68/150.81 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.68/150.81 | % 218.68/150.81 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.68/150.81 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.68/150.81 | % 218.68/150.81 | Instantiating (608) with all_343_0_2409 yields: % 218.68/150.81 | (12187) (all_343_0_2409 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_343_0_2409 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.68/150.81 | % 218.68/150.81 +-Applying beta-rule and splitting (12165), into two cases. % 218.68/150.81 |-Branch one: % 218.68/150.81 | (12188) all_305_0_2407 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 218.68/150.81 | % 218.68/150.81 | Applying alpha-rule on (12188) yields: % 218.68/150.81 | (12189) all_305_0_2407 = 0 % 218.68/150.81 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 218.68/150.81 | % 218.68/150.81 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 218.68/150.81 | (495) all_165_2_96 = all_0_5_5 % 218.68/150.81 | % 218.68/150.81 | From (495) and (288) follows: % 218.68/150.81 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.68/150.81 | % 218.68/150.81 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.68/150.81 | (233) all_110_0_80 = 0 % 218.68/150.81 | % 218.68/150.81 | Equations (233) can reduce 209 to: % 218.68/150.81 | (175) $false % 218.68/150.81 | % 218.68/150.81 |-The branch is then unsatisfiable % 218.68/150.81 |-Branch two: % 218.68/150.81 | (12195) all_305_0_2407 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 218.68/150.81 | % 218.68/150.81 | Applying alpha-rule on (12195) yields: % 218.68/150.81 | (12189) all_305_0_2407 = 0 % 218.68/150.81 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 218.68/150.81 | % 218.68/150.81 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 218.68/150.81 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 218.68/150.81 | % 218.68/150.81 | Instantiating (502) with all_362_0_2410 yields: % 218.68/150.81 | (12199) (all_362_0_2410 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_2410 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 218.68/150.81 | % 218.68/150.81 +-Applying beta-rule and splitting (12187), into two cases. % 218.68/150.81 |-Branch one: % 218.68/150.81 | (12200) all_343_0_2409 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.68/150.81 | % 218.68/150.81 | Applying alpha-rule on (12200) yields: % 218.68/150.81 | (12201) all_343_0_2409 = 0 % 218.68/150.81 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.68/150.81 | % 218.68/150.81 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.68/150.81 | (642) all_135_1_87 = all_0_6_6 % 218.68/150.81 | % 218.68/150.81 | From (642) and (241) follows: % 218.76/150.82 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.76/150.82 | (212) all_85_0_72 = 0 % 218.76/150.82 | % 218.76/150.82 | Equations (212) can reduce 183 to: % 218.76/150.82 | (175) $false % 218.76/150.82 | % 218.76/150.82 |-The branch is then unsatisfiable % 218.76/150.82 |-Branch two: % 218.76/150.82 | (12207) all_343_0_2409 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.76/150.82 | % 218.76/150.82 | Applying alpha-rule on (12207) yields: % 218.76/150.82 | (12201) all_343_0_2409 = 0 % 218.76/150.82 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.76/150.82 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.76/150.82 | % 218.76/150.82 | Instantiating (669) with all_399_0_2415 yields: % 218.76/150.82 | (12211) (all_399_0_2415 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_399_0_2415 = 0 & mem(all_135_1_87, e) = 0) % 218.76/150.82 | % 218.76/150.82 +-Applying beta-rule and splitting (12199), into two cases. % 218.76/150.82 |-Branch one: % 218.76/150.82 | (12212) all_362_0_2410 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 218.76/150.82 | % 218.76/150.82 | Applying alpha-rule on (12212) yields: % 218.76/150.82 | (12213) all_362_0_2410 = 0 % 218.76/150.82 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 218.76/150.82 | (551) all_165_2_96 = all_0_6_6 % 218.76/150.82 | % 218.76/150.82 | From (551) and (303) follows: % 218.76/150.82 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.76/150.82 | (212) all_85_0_72 = 0 % 218.76/150.82 | % 218.76/150.82 | Equations (212) can reduce 183 to: % 218.76/150.82 | (175) $false % 218.76/150.82 | % 218.76/150.82 |-The branch is then unsatisfiable % 218.76/150.82 |-Branch two: % 218.76/150.82 | (12219) all_362_0_2410 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 218.76/150.82 | % 218.76/150.82 | Applying alpha-rule on (12219) yields: % 218.76/150.82 | (12213) all_362_0_2410 = 0 % 218.76/150.82 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.76/150.82 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.76/150.82 | % 218.76/150.82 | Instantiating (583) with all_407_0_2416 yields: % 218.76/150.82 | (12223) (all_407_0_2416 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_2416 = 0 & mem(all_165_2_96, e) = 0) % 218.76/150.82 | % 218.76/150.82 +-Applying beta-rule and splitting (12211), into two cases. % 218.76/150.82 |-Branch one: % 218.76/150.82 | (12224) all_399_0_2415 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.76/150.82 | % 218.76/150.82 | Applying alpha-rule on (12224) yields: % 218.76/150.82 | (12225) all_399_0_2415 = 0 % 218.76/150.82 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.76/150.82 | (711) all_135_1_87 = e % 218.76/150.82 | % 218.76/150.82 | From (711) and (231) follows: % 218.76/150.82 | (712) mem(e, all_99_1_77) = all_135_0_86 % 218.76/150.82 | % 218.76/150.82 +-Applying beta-rule and splitting (12223), into two cases. % 218.76/150.82 |-Branch one: % 218.76/150.82 | (12229) all_407_0_2416 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.76/150.82 | % 218.76/150.82 | Applying alpha-rule on (12229) yields: % 218.76/150.82 | (12230) all_407_0_2416 = 0 % 218.76/150.82 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.76/150.82 | (593) all_165_2_96 = e % 218.76/150.82 | % 218.76/150.82 | From (593) and (268) follows: % 218.76/150.82 | (717) mem(e, all_99_1_77) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 218.76/150.82 | (261) all_135_0_86 = 0 % 218.76/150.82 | % 218.76/150.82 | Equations (261) can reduce 230 to: % 218.76/150.82 | (175) $false % 218.76/150.82 | % 218.76/150.82 |-The branch is then unsatisfiable % 218.76/150.82 |-Branch two: % 218.76/150.82 | (12236) all_407_0_2416 = 0 & mem(all_165_2_96, e) = 0 % 218.76/150.82 | % 218.76/150.82 | Applying alpha-rule on (12236) yields: % 218.76/150.82 | (12230) all_407_0_2416 = 0 % 218.76/150.82 | (599) mem(all_165_2_96, e) = 0 % 218.76/150.82 | % 218.76/150.82 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.76/150.82 | (538) $false % 218.76/150.82 | % 218.76/150.82 |-The branch is then unsatisfiable % 218.76/150.83 |-Branch two: % 218.76/150.83 | (12240) all_399_0_2415 = 0 & mem(all_135_1_87, e) = 0 % 218.76/150.83 | % 218.76/150.83 | Applying alpha-rule on (12240) yields: % 218.76/150.83 | (12225) all_399_0_2415 = 0 % 218.76/150.83 | (726) mem(all_135_1_87, e) = 0 % 218.76/150.83 | % 218.76/150.83 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.76/150.83 | (538) $false % 218.76/150.83 | % 218.76/150.83 |-The branch is then unsatisfiable % 218.76/150.83 |-Branch two: % 218.76/150.83 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.76/150.83 | % 218.76/150.83 | Applying alpha-rule on (10493) yields: % 218.76/150.83 | (10455) all_281_0_1971 = 0 % 218.76/150.83 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.76/150.83 | % 218.76/150.83 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.76/150.83 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.76/150.83 | % 218.76/150.83 | Instantiating (7517) with all_332_0_2417 yields: % 218.76/150.83 | (12248) (all_332_0_2417 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_2417 = 0 & mem(all_85_1_73, e) = 0) % 218.76/150.83 | % 218.76/150.83 +-Applying beta-rule and splitting (11714), into two cases. % 218.76/150.83 |-Branch one: % 218.76/150.83 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.76/150.83 | % 218.76/150.83 | Applying alpha-rule on (11846) yields: % 218.76/150.83 | (11847) all_289_0_2290 = 0 % 218.76/150.83 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.76/150.83 | % 218.76/150.83 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.76/150.83 | (478) all_135_1_87 = all_0_5_5 % 218.76/150.83 | % 218.76/150.83 | From (478) and (232) follows: % 218.76/150.83 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.76/150.83 | % 218.76/150.83 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.76/150.83 | (233) all_110_0_80 = 0 % 218.76/150.83 | % 218.76/150.83 | Equations (233) can reduce 209 to: % 218.76/150.83 | (175) $false % 218.76/150.83 | % 218.76/150.83 |-The branch is then unsatisfiable % 218.76/150.83 |-Branch two: % 218.76/150.83 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.76/150.83 | % 218.76/150.83 | Applying alpha-rule on (11853) yields: % 218.76/150.83 | (11847) all_289_0_2290 = 0 % 218.76/150.83 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.76/150.83 | % 218.76/150.83 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.76/150.83 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.76/150.83 | % 218.76/150.83 | Instantiating (608) with all_340_0_2418 yields: % 218.76/150.83 | (12260) (all_340_0_2418 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_2418 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.76/150.83 | % 218.76/150.83 +-Applying beta-rule and splitting (12165), into two cases. % 218.76/150.83 |-Branch one: % 218.76/150.83 | (12188) all_305_0_2407 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 218.76/150.83 | % 218.76/150.83 | Applying alpha-rule on (12188) yields: % 218.76/150.84 | (12189) all_305_0_2407 = 0 % 218.76/150.84 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 218.76/150.84 | % 218.76/150.84 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 218.76/150.84 | (495) all_165_2_96 = all_0_5_5 % 218.76/150.84 | % 218.76/150.84 | From (495) and (288) follows: % 218.76/150.84 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.76/150.84 | % 218.76/150.84 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.76/150.84 | (233) all_110_0_80 = 0 % 218.76/150.84 | % 218.76/150.84 | Equations (233) can reduce 209 to: % 218.76/150.84 | (175) $false % 218.76/150.84 | % 218.76/150.84 |-The branch is then unsatisfiable % 218.76/150.84 |-Branch two: % 218.76/150.84 | (12195) all_305_0_2407 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 218.76/150.84 | % 218.76/150.84 | Applying alpha-rule on (12195) yields: % 218.76/150.84 | (12189) all_305_0_2407 = 0 % 218.76/150.84 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 218.76/150.84 | % 218.76/150.84 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 218.76/150.84 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 218.76/150.84 | % 218.76/150.84 | Instantiating (502) with all_359_0_2419 yields: % 218.76/150.84 | (12272) (all_359_0_2419 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_2419 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 218.76/150.84 | % 218.76/150.84 +-Applying beta-rule and splitting (12248), into two cases. % 218.76/150.84 |-Branch one: % 218.76/150.84 | (12273) all_332_0_2417 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.76/150.84 | % 218.76/150.84 | Applying alpha-rule on (12273) yields: % 218.76/150.84 | (12274) all_332_0_2417 = 0 % 218.76/150.84 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.76/150.84 | % 218.76/150.84 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.76/150.84 | (7551) all_85_1_73 = e % 218.76/150.84 | % 218.76/150.84 | From (7551) and (184) follows: % 218.76/150.84 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.76/150.84 | % 218.76/150.84 +-Applying beta-rule and splitting (12260), into two cases. % 218.76/150.84 |-Branch one: % 218.76/150.84 | (12278) all_340_0_2418 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.76/150.84 | % 218.76/150.84 | Applying alpha-rule on (12278) yields: % 218.76/150.84 | (12279) all_340_0_2418 = 0 % 218.76/150.84 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.76/150.84 | % 218.76/150.84 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.76/150.84 | (642) all_135_1_87 = all_0_6_6 % 218.76/150.84 | % 218.76/150.84 | From (642) and (231) follows: % 218.76/150.84 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 218.76/150.84 | % 218.76/150.84 +-Applying beta-rule and splitting (12272), into two cases. % 218.76/150.84 |-Branch one: % 218.76/150.84 | (12283) all_359_0_2419 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 218.76/150.84 | % 218.76/150.84 | Applying alpha-rule on (12283) yields: % 218.76/150.84 | (12284) all_359_0_2419 = 0 % 218.76/150.84 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 218.76/150.84 | % 218.76/150.84 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 218.76/150.84 | (551) all_165_2_96 = all_0_6_6 % 218.76/150.84 | % 218.76/150.84 | From (551) and (268) follows: % 218.76/150.84 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 218.76/150.84 | % 218.76/150.84 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 218.76/150.84 | (261) all_135_0_86 = 0 % 218.76/150.84 | % 218.76/150.84 | Equations (261) can reduce 230 to: % 218.76/150.84 | (175) $false % 218.76/150.84 | % 218.76/150.84 |-The branch is then unsatisfiable % 218.76/150.84 |-Branch two: % 218.76/150.84 | (12290) all_359_0_2419 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 218.76/150.84 | % 218.76/150.84 | Applying alpha-rule on (12290) yields: % 218.76/150.84 | (12284) all_359_0_2419 = 0 % 218.76/150.84 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.76/150.84 | % 218.76/150.84 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.76/150.84 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.76/150.84 | % 218.76/150.84 | Instantiating (583) with all_414_0_2422 yields: % 218.76/150.84 | (12294) (all_414_0_2422 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_414_0_2422 = 0 & mem(all_165_2_96, e) = 0) % 218.76/150.84 | % 218.76/150.84 +-Applying beta-rule and splitting (12294), into two cases. % 218.76/150.84 |-Branch one: % 218.76/150.85 | (12295) all_414_0_2422 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.76/150.85 | % 218.76/150.85 | Applying alpha-rule on (12295) yields: % 218.76/150.85 | (12296) all_414_0_2422 = 0 % 218.76/150.85 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.76/150.85 | % 218.76/150.85 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.76/150.85 | (593) all_165_2_96 = e % 218.76/150.85 | % 218.76/150.85 | From (593) and (303) follows: % 218.76/150.85 | (7594) mem(e, all_57_1_62) = 0 % 218.76/150.85 | % 218.76/150.85 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.76/150.85 | (212) all_85_0_72 = 0 % 218.76/150.85 | % 218.76/150.85 | Equations (212) can reduce 183 to: % 218.76/150.85 | (175) $false % 218.76/150.85 | % 218.76/150.85 |-The branch is then unsatisfiable % 218.76/150.85 |-Branch two: % 218.76/150.85 | (12302) all_414_0_2422 = 0 & mem(all_165_2_96, e) = 0 % 218.76/150.85 | % 218.76/150.85 | Applying alpha-rule on (12302) yields: % 218.76/150.85 | (12296) all_414_0_2422 = 0 % 218.76/150.85 | (599) mem(all_165_2_96, e) = 0 % 218.76/150.85 | % 218.76/150.85 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.76/150.85 | (538) $false % 218.76/150.85 | % 218.76/150.85 |-The branch is then unsatisfiable % 218.76/150.85 |-Branch two: % 218.76/150.85 | (12306) all_340_0_2418 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.76/150.85 | % 218.76/150.85 | Applying alpha-rule on (12306) yields: % 218.76/150.85 | (12279) all_340_0_2418 = 0 % 218.76/150.85 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.76/150.85 | % 218.76/150.85 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.76/150.85 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.76/150.85 | % 218.76/150.85 | Instantiating (669) with all_403_0_2423 yields: % 218.76/150.85 | (12310) (all_403_0_2423 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_403_0_2423 = 0 & mem(all_135_1_87, e) = 0) % 218.76/150.85 | % 218.76/150.85 +-Applying beta-rule and splitting (12310), into two cases. % 218.76/150.85 |-Branch one: % 218.76/150.85 | (12311) all_403_0_2423 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.76/150.85 | % 218.76/150.85 | Applying alpha-rule on (12311) yields: % 218.76/150.85 | (12312) all_403_0_2423 = 0 % 218.76/150.85 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.76/150.85 | % 218.76/150.85 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.76/150.85 | (711) all_135_1_87 = e % 218.76/150.85 | % 218.76/150.85 | From (711) and (241) follows: % 218.76/150.85 | (7594) mem(e, all_57_1_62) = 0 % 218.76/150.85 | % 218.76/150.85 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.76/150.85 | (212) all_85_0_72 = 0 % 218.76/150.85 | % 218.76/150.85 | Equations (212) can reduce 183 to: % 218.76/150.85 | (175) $false % 218.76/150.85 | % 218.76/150.85 |-The branch is then unsatisfiable % 218.76/150.85 |-Branch two: % 218.76/150.85 | (12318) all_403_0_2423 = 0 & mem(all_135_1_87, e) = 0 % 218.76/150.85 | % 218.76/150.85 | Applying alpha-rule on (12318) yields: % 218.76/150.85 | (12312) all_403_0_2423 = 0 % 218.76/150.85 | (726) mem(all_135_1_87, e) = 0 % 218.76/150.85 | % 218.76/150.85 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.76/150.85 | (538) $false % 218.76/150.85 | % 218.76/150.85 |-The branch is then unsatisfiable % 218.76/150.85 |-Branch two: % 218.76/150.85 | (12322) all_332_0_2417 = 0 & mem(all_85_1_73, e) = 0 % 218.76/150.85 | % 218.76/150.86 | Applying alpha-rule on (12322) yields: % 218.76/150.86 | (12274) all_332_0_2417 = 0 % 218.76/150.86 | (7603) mem(all_85_1_73, e) = 0 % 218.76/150.86 | % 218.76/150.86 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.76/150.86 | (538) $false % 218.76/150.86 | % 218.76/150.86 |-The branch is then unsatisfiable % 218.76/150.86 |-Branch two: % 218.76/150.86 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 218.76/150.86 | % 218.76/150.86 | Applying alpha-rule on (9292) yields: % 218.76/150.86 | (9286) all_273_0_1800 = 0 % 218.76/150.86 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 218.76/150.86 | % 218.76/150.86 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 218.76/150.86 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 218.76/150.86 | % 218.76/150.86 | Instantiating (1850) with all_321_0_2434 yields: % 218.76/150.86 | (12330) (all_321_0_2434 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_321_0_2434 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 218.76/150.86 | % 218.76/150.86 +-Applying beta-rule and splitting (10294), into two cases. % 218.76/150.86 |-Branch one: % 218.76/150.86 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.76/150.86 | % 218.76/150.86 | Applying alpha-rule on (10454) yields: % 218.76/150.86 | (10455) all_281_0_1971 = 0 % 218.76/150.86 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.76/150.86 | % 218.76/150.86 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.76/150.86 | (7375) all_85_1_73 = all_0_6_6 % 218.76/150.86 | % 218.76/150.86 | From (7375) and (184) follows: % 218.76/150.86 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.76/150.86 | % 218.76/150.86 +-Applying beta-rule and splitting (11714), into two cases. % 218.76/150.86 |-Branch one: % 218.76/150.86 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.76/150.86 | % 218.76/150.86 | Applying alpha-rule on (11846) yields: % 218.76/150.86 | (11847) all_289_0_2290 = 0 % 218.76/150.86 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.76/150.86 | % 218.76/150.86 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.76/150.86 | (478) all_135_1_87 = all_0_5_5 % 218.76/150.86 | % 218.76/150.86 | From (478) and (231) follows: % 218.76/150.86 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 218.76/150.86 | % 218.76/150.86 +-Applying beta-rule and splitting (12165), into two cases. % 218.76/150.86 |-Branch one: % 218.76/150.86 | (12188) all_305_0_2407 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 218.76/150.86 | % 218.76/150.86 | Applying alpha-rule on (12188) yields: % 218.76/150.86 | (12189) all_305_0_2407 = 0 % 218.76/150.86 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 218.76/150.86 | % 218.76/150.86 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 218.76/150.86 | (495) all_165_2_96 = all_0_5_5 % 218.76/150.86 | % 218.76/150.86 | From (495) and (268) follows: % 218.76/150.86 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 218.76/150.86 | % 218.76/150.86 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 218.76/150.86 | (261) all_135_0_86 = 0 % 218.76/150.86 | % 218.76/150.86 | Equations (261) can reduce 230 to: % 218.76/150.86 | (175) $false % 218.76/150.86 | % 218.76/150.86 |-The branch is then unsatisfiable % 218.76/150.86 |-Branch two: % 218.76/150.86 | (12195) all_305_0_2407 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 218.76/150.86 | % 218.76/150.87 | Applying alpha-rule on (12195) yields: % 218.76/150.87 | (12189) all_305_0_2407 = 0 % 218.76/150.87 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 218.76/150.87 | % 218.76/150.87 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 218.76/150.87 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 218.76/150.87 | % 218.76/150.87 | Instantiating (502) with all_362_0_2435 yields: % 218.76/150.87 | (12352) (all_362_0_2435 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_362_0_2435 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 218.76/150.87 | % 218.76/150.87 +-Applying beta-rule and splitting (12330), into two cases. % 218.76/150.87 |-Branch one: % 218.76/150.87 | (12353) all_321_0_2434 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.76/150.87 | % 218.76/150.87 | Applying alpha-rule on (12353) yields: % 218.76/150.87 | (12354) all_321_0_2434 = 0 % 218.76/150.87 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.76/150.87 | % 218.76/150.87 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.76/150.87 | (1884) all_110_1_81 = all_0_6_6 % 218.76/150.87 | % 218.76/150.87 | From (1884) and (211) follows: % 218.76/150.87 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.76/150.87 | % 218.76/150.87 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.76/150.87 | (212) all_85_0_72 = 0 % 218.76/150.87 | % 218.76/150.87 | Equations (212) can reduce 183 to: % 218.76/150.87 | (175) $false % 218.76/150.87 | % 218.76/150.87 |-The branch is then unsatisfiable % 218.76/150.87 |-Branch two: % 218.76/150.87 | (12360) all_321_0_2434 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.76/150.87 | % 218.76/150.87 | Applying alpha-rule on (12360) yields: % 218.76/150.87 | (12354) all_321_0_2434 = 0 % 218.76/150.87 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.76/150.87 | % 218.76/150.87 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.76/150.87 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.76/150.87 | % 218.76/150.87 | Instantiating (1911) with all_399_0_2440 yields: % 218.76/150.87 | (12364) (all_399_0_2440 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_399_0_2440 = 0 & mem(all_110_1_81, e) = 0) % 218.76/150.87 | % 218.76/150.87 +-Applying beta-rule and splitting (12352), into two cases. % 218.76/150.87 |-Branch one: % 218.76/150.87 | (12365) all_362_0_2435 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 218.76/150.87 | % 218.76/150.87 | Applying alpha-rule on (12365) yields: % 218.76/150.87 | (12366) all_362_0_2435 = 0 % 218.76/150.87 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 218.76/150.87 | % 218.76/150.87 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 218.76/150.87 | (551) all_165_2_96 = all_0_6_6 % 218.76/150.87 | % 218.76/150.87 | From (551) and (303) follows: % 218.76/150.87 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.76/150.87 | % 218.76/150.87 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.76/150.87 | (212) all_85_0_72 = 0 % 218.76/150.87 | % 218.76/150.87 | Equations (212) can reduce 183 to: % 218.76/150.87 | (175) $false % 218.76/150.87 | % 218.76/150.87 |-The branch is then unsatisfiable % 218.76/150.87 |-Branch two: % 218.76/150.87 | (12372) all_362_0_2435 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 218.76/150.87 | % 218.76/150.87 | Applying alpha-rule on (12372) yields: % 218.76/150.87 | (12366) all_362_0_2435 = 0 % 218.76/150.87 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.76/150.87 | % 218.76/150.87 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.76/150.87 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.81/150.87 | % 218.81/150.87 | Instantiating (583) with all_407_0_2441 yields: % 218.81/150.87 | (12376) (all_407_0_2441 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_407_0_2441 = 0 & mem(all_165_2_96, e) = 0) % 218.81/150.87 | % 218.81/150.87 +-Applying beta-rule and splitting (12364), into two cases. % 218.81/150.87 |-Branch one: % 218.81/150.87 | (12377) all_399_0_2440 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.81/150.87 | % 218.81/150.87 | Applying alpha-rule on (12377) yields: % 218.81/150.87 | (12378) all_399_0_2440 = 0 % 218.81/150.87 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.81/150.87 | % 218.81/150.87 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.81/150.87 | (1953) all_110_1_81 = e % 218.81/150.87 | % 218.81/150.87 | From (1953) and (210) follows: % 218.81/150.87 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 218.81/150.87 | % 218.81/150.88 +-Applying beta-rule and splitting (12376), into two cases. % 218.81/150.88 |-Branch one: % 218.81/150.88 | (12382) all_407_0_2441 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.81/150.88 | % 218.81/150.88 | Applying alpha-rule on (12382) yields: % 218.81/150.88 | (12383) all_407_0_2441 = 0 % 218.81/150.88 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.81/150.88 | % 218.81/150.88 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.81/150.88 | (593) all_165_2_96 = e % 218.81/150.88 | % 218.81/150.88 | From (593) and (288) follows: % 218.81/150.88 | (1959) mem(e, all_74_1_69) = 0 % 218.81/150.88 | % 218.81/150.88 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 218.81/150.88 | (233) all_110_0_80 = 0 % 218.81/150.88 | % 218.81/150.88 | Equations (233) can reduce 209 to: % 218.81/150.88 | (175) $false % 218.81/150.88 | % 218.81/150.88 |-The branch is then unsatisfiable % 218.81/150.88 |-Branch two: % 218.81/150.88 | (12389) all_407_0_2441 = 0 & mem(all_165_2_96, e) = 0 % 218.81/150.88 | % 218.81/150.88 | Applying alpha-rule on (12389) yields: % 218.81/150.88 | (12383) all_407_0_2441 = 0 % 218.81/150.88 | (599) mem(all_165_2_96, e) = 0 % 218.81/150.88 | % 218.81/150.88 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.81/150.88 | (538) $false % 218.81/150.88 | % 218.81/150.88 |-The branch is then unsatisfiable % 218.81/150.88 |-Branch two: % 218.81/150.88 | (12393) all_399_0_2440 = 0 & mem(all_110_1_81, e) = 0 % 218.81/150.88 | % 218.81/150.88 | Applying alpha-rule on (12393) yields: % 218.81/150.88 | (12378) all_399_0_2440 = 0 % 218.81/150.88 | (1968) mem(all_110_1_81, e) = 0 % 218.81/150.88 | % 218.81/150.88 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.81/150.88 | (538) $false % 218.81/150.88 | % 218.81/150.88 |-The branch is then unsatisfiable % 218.81/150.88 |-Branch two: % 218.81/150.88 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.81/150.88 | % 218.81/150.88 | Applying alpha-rule on (11853) yields: % 218.81/150.88 | (11847) all_289_0_2290 = 0 % 218.81/150.88 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.81/150.88 | % 218.81/150.88 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.81/150.88 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.81/150.88 | % 218.81/150.88 | Instantiating (608) with all_340_0_2442 yields: % 218.81/150.88 | (12401) (all_340_0_2442 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_2442 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.81/150.88 | % 218.81/150.88 +-Applying beta-rule and splitting (12330), into two cases. % 218.81/150.88 |-Branch one: % 218.81/150.88 | (12353) all_321_0_2434 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.81/150.88 | % 218.81/150.88 | Applying alpha-rule on (12353) yields: % 218.81/150.88 | (12354) all_321_0_2434 = 0 % 218.81/150.88 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.81/150.88 | % 218.81/150.88 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.81/150.88 | (1884) all_110_1_81 = all_0_6_6 % 218.81/150.88 | % 218.81/150.88 | From (1884) and (211) follows: % 218.81/150.88 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.81/150.88 | % 218.81/150.88 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.81/150.89 | (212) all_85_0_72 = 0 % 218.81/150.89 | % 218.81/150.89 | Equations (212) can reduce 183 to: % 218.81/150.89 | (175) $false % 218.81/150.89 | % 218.81/150.89 |-The branch is then unsatisfiable % 218.81/150.89 |-Branch two: % 218.81/150.89 | (12360) all_321_0_2434 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.81/150.89 | % 218.81/150.89 | Applying alpha-rule on (12360) yields: % 218.81/150.89 | (12354) all_321_0_2434 = 0 % 218.81/150.89 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.81/150.89 | % 218.81/150.89 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.81/150.89 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.81/150.89 | % 218.81/150.89 | Instantiating (1911) with all_396_0_2456 yields: % 218.81/150.89 | (12413) (all_396_0_2456 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_396_0_2456 = 0 & mem(all_110_1_81, e) = 0) % 218.81/150.89 | % 218.81/150.89 +-Applying beta-rule and splitting (12401), into two cases. % 218.81/150.89 |-Branch one: % 218.81/150.89 | (12414) all_340_0_2442 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.81/150.89 | % 218.81/150.89 | Applying alpha-rule on (12414) yields: % 218.81/150.89 | (12415) all_340_0_2442 = 0 % 218.81/150.89 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.81/150.89 | % 218.81/150.89 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.81/150.89 | (642) all_135_1_87 = all_0_6_6 % 218.81/150.89 | % 218.81/150.89 | From (642) and (241) follows: % 218.81/150.89 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.81/150.89 | % 218.81/150.89 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.81/150.89 | (212) all_85_0_72 = 0 % 218.81/150.89 | % 218.81/150.89 | Equations (212) can reduce 183 to: % 218.81/150.89 | (175) $false % 218.81/150.89 | % 218.81/150.89 |-The branch is then unsatisfiable % 218.81/150.89 |-Branch two: % 218.81/150.89 | (12421) all_340_0_2442 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.81/150.89 | % 218.81/150.89 | Applying alpha-rule on (12421) yields: % 218.81/150.89 | (12415) all_340_0_2442 = 0 % 218.81/150.89 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.81/150.89 | % 218.81/150.89 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.81/150.89 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.81/150.89 | % 218.81/150.89 | Instantiating (669) with all_404_0_2457 yields: % 218.81/150.89 | (12425) (all_404_0_2457 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_404_0_2457 = 0 & mem(all_135_1_87, e) = 0) % 218.81/150.89 | % 218.81/150.89 +-Applying beta-rule and splitting (12413), into two cases. % 218.81/150.89 |-Branch one: % 218.81/150.89 | (12426) all_396_0_2456 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.81/150.89 | % 218.81/150.89 | Applying alpha-rule on (12426) yields: % 218.81/150.89 | (12427) all_396_0_2456 = 0 % 218.81/150.89 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.81/150.89 | % 218.81/150.89 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.81/150.89 | (1953) all_110_1_81 = e % 218.81/150.89 | % 218.81/150.89 | From (1953) and (210) follows: % 218.81/150.89 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 218.81/150.89 | % 218.81/150.89 +-Applying beta-rule and splitting (12425), into two cases. % 218.81/150.89 |-Branch one: % 218.81/150.89 | (12431) all_404_0_2457 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.81/150.89 | % 218.81/150.89 | Applying alpha-rule on (12431) yields: % 218.81/150.89 | (12432) all_404_0_2457 = 0 % 218.81/150.89 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.81/150.89 | % 218.81/150.89 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.81/150.89 | (711) all_135_1_87 = e % 218.81/150.89 | % 218.81/150.89 | From (711) and (232) follows: % 218.81/150.89 | (1959) mem(e, all_74_1_69) = 0 % 218.81/150.89 | % 218.81/150.89 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 218.81/150.89 | (233) all_110_0_80 = 0 % 218.81/150.89 | % 218.81/150.89 | Equations (233) can reduce 209 to: % 218.81/150.89 | (175) $false % 218.81/150.89 | % 218.81/150.89 |-The branch is then unsatisfiable % 218.81/150.89 |-Branch two: % 218.81/150.89 | (12438) all_404_0_2457 = 0 & mem(all_135_1_87, e) = 0 % 218.81/150.89 | % 218.81/150.89 | Applying alpha-rule on (12438) yields: % 218.81/150.89 | (12432) all_404_0_2457 = 0 % 218.81/150.89 | (726) mem(all_135_1_87, e) = 0 % 218.81/150.90 | % 218.81/150.90 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.81/150.90 | (538) $false % 218.81/150.90 | % 218.81/150.90 |-The branch is then unsatisfiable % 218.81/150.90 |-Branch two: % 218.81/150.90 | (12442) all_396_0_2456 = 0 & mem(all_110_1_81, e) = 0 % 218.81/150.90 | % 218.81/150.90 | Applying alpha-rule on (12442) yields: % 218.81/150.90 | (12427) all_396_0_2456 = 0 % 218.81/150.90 | (1968) mem(all_110_1_81, e) = 0 % 218.81/150.90 | % 218.81/150.90 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.81/150.90 | (538) $false % 218.81/150.90 | % 218.81/150.90 |-The branch is then unsatisfiable % 218.81/150.90 |-Branch two: % 218.81/150.90 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.81/150.90 | % 218.81/150.90 | Applying alpha-rule on (10493) yields: % 218.81/150.90 | (10455) all_281_0_1971 = 0 % 218.81/150.90 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.81/150.90 | % 218.81/150.90 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.81/150.90 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.81/150.90 | % 218.81/150.90 | Instantiating (7517) with all_329_0_2459 yields: % 218.81/150.90 | (12450) (all_329_0_2459 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_329_0_2459 = 0 & mem(all_85_1_73, e) = 0) % 218.81/150.90 | % 218.81/150.90 +-Applying beta-rule and splitting (11714), into two cases. % 218.81/150.90 |-Branch one: % 218.81/150.90 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.81/150.90 | % 218.81/150.90 | Applying alpha-rule on (11846) yields: % 218.81/150.90 | (11847) all_289_0_2290 = 0 % 218.81/150.90 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.81/150.90 | % 218.81/150.90 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.81/150.90 | (478) all_135_1_87 = all_0_5_5 % 218.81/150.90 | % 218.81/150.90 | From (478) and (231) follows: % 218.81/150.90 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 218.81/150.90 | % 218.81/150.90 +-Applying beta-rule and splitting (12165), into two cases. % 218.81/150.90 |-Branch one: % 218.81/150.90 | (12188) all_305_0_2407 = 0 & mem(all_165_2_96, all_70_0_66) = 0 % 218.81/150.90 | % 218.81/150.90 | Applying alpha-rule on (12188) yields: % 218.81/150.90 | (12189) all_305_0_2407 = 0 % 218.81/150.90 | (494) mem(all_165_2_96, all_70_0_66) = 0 % 218.81/150.90 | % 218.81/150.90 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_165_2_96 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_165_2_96, all_70_0_66) = 0, yields: % 218.81/150.90 | (495) all_165_2_96 = all_0_5_5 % 218.81/150.90 | % 218.81/150.90 | From (495) and (268) follows: % 218.81/150.90 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 218.81/150.90 | % 218.81/150.90 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 218.81/150.90 | (261) all_135_0_86 = 0 % 218.81/150.90 | % 218.81/150.90 | Equations (261) can reduce 230 to: % 218.81/150.90 | (175) $false % 218.81/150.90 | % 218.81/150.90 |-The branch is then unsatisfiable % 218.81/150.90 |-Branch two: % 218.81/150.90 | (12195) all_305_0_2407 = 0 & mem(all_165_2_96, all_0_5_5) = 0 % 218.81/150.90 | % 218.81/150.90 | Applying alpha-rule on (12195) yields: % 218.81/150.90 | (12189) all_305_0_2407 = 0 % 218.81/150.91 | (501) mem(all_165_2_96, all_0_5_5) = 0 % 218.81/150.91 | % 218.81/150.91 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_165_2_96, all_0_5_5) = 0, yields: % 218.81/150.91 | (502) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (v0 = 0 & mem(all_165_2_96, all_0_6_6) = 0)) % 218.81/150.91 | % 218.81/150.91 | Instantiating (502) with all_359_0_2460 yields: % 218.81/150.91 | (12467) (all_359_0_2460 = 0 & mem(all_165_2_96, all_0_3_3) = 0) | (all_359_0_2460 = 0 & mem(all_165_2_96, all_0_6_6) = 0) % 218.81/150.91 | % 218.81/150.91 +-Applying beta-rule and splitting (12330), into two cases. % 218.81/150.91 |-Branch one: % 218.81/150.91 | (12353) all_321_0_2434 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.81/150.91 | % 218.81/150.91 | Applying alpha-rule on (12353) yields: % 218.81/150.91 | (12354) all_321_0_2434 = 0 % 218.81/150.91 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.81/150.91 | % 218.81/150.91 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.81/150.91 | (1884) all_110_1_81 = all_0_6_6 % 218.81/150.91 | % 218.81/150.91 | From (1884) and (210) follows: % 218.81/150.91 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.81/150.91 | % 218.81/150.91 +-Applying beta-rule and splitting (12450), into two cases. % 218.81/150.91 |-Branch one: % 218.81/150.91 | (12473) all_329_0_2459 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.81/150.91 | % 218.81/150.91 | Applying alpha-rule on (12473) yields: % 218.81/150.91 | (12474) all_329_0_2459 = 0 % 218.81/150.91 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.81/150.91 | % 218.81/150.91 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.81/150.91 | (7551) all_85_1_73 = e % 218.81/150.91 | % 218.81/150.91 | From (7551) and (184) follows: % 218.81/150.91 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.81/150.91 | % 218.81/150.91 +-Applying beta-rule and splitting (12467), into two cases. % 218.81/150.91 |-Branch one: % 218.81/150.91 | (12478) all_359_0_2460 = 0 & mem(all_165_2_96, all_0_3_3) = 0 % 218.81/150.91 | % 218.81/150.91 | Applying alpha-rule on (12478) yields: % 218.81/150.91 | (12479) all_359_0_2460 = 0 % 218.81/150.91 | (550) mem(all_165_2_96, all_0_3_3) = 0 % 218.81/150.91 | % 218.81/150.91 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_165_2_96 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_165_2_96, all_0_3_3) = 0, yields: % 218.81/150.91 | (551) all_165_2_96 = all_0_6_6 % 218.81/150.91 | % 218.81/150.91 | From (551) and (288) follows: % 218.81/150.91 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.81/150.91 | % 218.81/150.91 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.81/150.91 | (233) all_110_0_80 = 0 % 218.81/150.91 | % 218.81/150.91 | Equations (233) can reduce 209 to: % 218.81/150.91 | (175) $false % 218.81/150.91 | % 218.81/150.91 |-The branch is then unsatisfiable % 218.81/150.91 |-Branch two: % 218.81/150.91 | (12485) all_359_0_2460 = 0 & mem(all_165_2_96, all_0_6_6) = 0 % 218.81/150.91 | % 218.81/150.91 | Applying alpha-rule on (12485) yields: % 218.81/150.91 | (12479) all_359_0_2460 = 0 % 218.81/150.91 | (582) mem(all_165_2_96, all_0_6_6) = 0 % 218.81/150.91 | % 218.81/150.91 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_165_2_96 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_165_2_96, all_0_6_6) = 0, yields: % 218.81/150.91 | (583) ? [v0] : ((v0 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (v0 = 0 & mem(all_165_2_96, e) = 0)) % 218.81/150.91 | % 218.81/150.91 | Instantiating (583) with all_414_0_2463 yields: % 218.81/150.91 | (12489) (all_414_0_2463 = 0 & mem(all_165_2_96, all_66_0_64) = 0) | (all_414_0_2463 = 0 & mem(all_165_2_96, e) = 0) % 218.81/150.91 | % 218.81/150.91 +-Applying beta-rule and splitting (12489), into two cases. % 218.81/150.91 |-Branch one: % 218.81/150.91 | (12490) all_414_0_2463 = 0 & mem(all_165_2_96, all_66_0_64) = 0 % 218.81/150.91 | % 218.81/150.91 | Applying alpha-rule on (12490) yields: % 218.81/150.91 | (12491) all_414_0_2463 = 0 % 218.81/150.91 | (592) mem(all_165_2_96, all_66_0_64) = 0 % 218.81/150.91 | % 218.81/150.91 | Instantiating formula (23) with all_66_0_64, e, all_165_2_96 and discharging atoms s(e) = all_66_0_64, mem(all_165_2_96, all_66_0_64) = 0, yields: % 218.81/150.91 | (593) all_165_2_96 = e % 218.81/150.91 | % 218.81/150.91 | From (593) and (303) follows: % 218.81/150.92 | (7594) mem(e, all_57_1_62) = 0 % 218.81/150.92 | % 218.81/150.92 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.81/150.92 | (212) all_85_0_72 = 0 % 218.81/150.92 | % 218.81/150.92 | Equations (212) can reduce 183 to: % 218.81/150.92 | (175) $false % 218.81/150.92 | % 218.81/150.92 |-The branch is then unsatisfiable % 218.81/150.92 |-Branch two: % 218.81/150.92 | (12497) all_414_0_2463 = 0 & mem(all_165_2_96, e) = 0 % 218.81/150.92 | % 218.81/150.92 | Applying alpha-rule on (12497) yields: % 218.81/150.92 | (12491) all_414_0_2463 = 0 % 218.81/150.92 | (599) mem(all_165_2_96, e) = 0 % 218.81/150.92 | % 218.81/150.92 | Instantiating formula (18) with all_165_2_96 and discharging atoms mem(all_165_2_96, e) = 0, yields: % 218.81/150.92 | (538) $false % 218.81/150.92 | % 218.81/150.92 |-The branch is then unsatisfiable % 218.81/150.92 |-Branch two: % 218.81/150.92 | (12501) all_329_0_2459 = 0 & mem(all_85_1_73, e) = 0 % 218.81/150.92 | % 218.81/150.92 | Applying alpha-rule on (12501) yields: % 218.81/150.92 | (12474) all_329_0_2459 = 0 % 218.81/150.92 | (7603) mem(all_85_1_73, e) = 0 % 218.81/150.92 | % 218.81/150.92 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.81/150.92 | (538) $false % 218.81/150.92 | % 218.81/150.92 |-The branch is then unsatisfiable % 218.81/150.92 |-Branch two: % 218.81/150.92 | (12360) all_321_0_2434 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.81/150.92 | % 218.81/150.92 | Applying alpha-rule on (12360) yields: % 218.81/150.92 | (12354) all_321_0_2434 = 0 % 218.81/150.92 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.81/150.92 | % 218.81/150.92 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.81/150.92 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.81/150.92 | % 218.81/150.92 | Instantiating (1911) with all_396_0_2466 yields: % 218.81/150.92 | (12509) (all_396_0_2466 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_396_0_2466 = 0 & mem(all_110_1_81, e) = 0) % 218.81/150.92 | % 218.81/150.92 +-Applying beta-rule and splitting (12450), into two cases. % 218.81/150.92 |-Branch one: % 218.81/150.92 | (12473) all_329_0_2459 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.81/150.92 | % 218.81/150.92 | Applying alpha-rule on (12473) yields: % 218.81/150.92 | (12474) all_329_0_2459 = 0 % 218.81/150.92 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.81/150.92 | % 218.81/150.92 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.81/150.92 | (7551) all_85_1_73 = e % 218.81/150.92 | % 218.81/150.92 | From (7551) and (184) follows: % 218.81/150.92 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.81/150.92 | % 218.81/150.92 +-Applying beta-rule and splitting (12509), into two cases. % 218.81/150.92 |-Branch one: % 218.81/150.92 | (12515) all_396_0_2466 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.81/150.92 | % 218.81/150.92 | Applying alpha-rule on (12515) yields: % 218.81/150.92 | (12516) all_396_0_2466 = 0 % 218.81/150.92 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.81/150.92 | % 218.81/150.92 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.81/150.92 | (1953) all_110_1_81 = e % 218.81/150.92 | % 218.81/150.92 | From (1953) and (211) follows: % 218.81/150.93 | (7594) mem(e, all_57_1_62) = 0 % 218.81/150.93 | % 218.81/150.93 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.81/150.93 | (212) all_85_0_72 = 0 % 218.81/150.93 | % 218.81/150.93 | Equations (212) can reduce 183 to: % 218.81/150.93 | (175) $false % 218.81/150.93 | % 218.81/150.93 |-The branch is then unsatisfiable % 218.81/150.93 |-Branch two: % 218.81/150.93 | (12522) all_396_0_2466 = 0 & mem(all_110_1_81, e) = 0 % 218.81/150.93 | % 218.81/150.93 | Applying alpha-rule on (12522) yields: % 218.81/150.93 | (12516) all_396_0_2466 = 0 % 218.81/150.93 | (1968) mem(all_110_1_81, e) = 0 % 218.81/150.93 | % 218.81/150.93 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.81/150.93 | (538) $false % 218.81/150.93 | % 218.81/150.93 |-The branch is then unsatisfiable % 218.81/150.93 |-Branch two: % 218.81/150.93 | (12501) all_329_0_2459 = 0 & mem(all_85_1_73, e) = 0 % 218.81/150.93 | % 218.81/150.93 | Applying alpha-rule on (12501) yields: % 218.81/150.93 | (12474) all_329_0_2459 = 0 % 218.81/150.93 | (7603) mem(all_85_1_73, e) = 0 % 218.81/150.93 | % 218.81/150.93 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.81/150.93 | (538) $false % 218.81/150.93 | % 218.81/150.93 |-The branch is then unsatisfiable % 218.81/150.93 |-Branch two: % 218.81/150.93 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.81/150.93 | % 218.81/150.93 | Applying alpha-rule on (11853) yields: % 218.81/150.93 | (11847) all_289_0_2290 = 0 % 218.81/150.93 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.81/150.93 | % 218.81/150.93 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.81/150.93 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.81/150.93 | % 218.81/150.93 | Instantiating (608) with all_337_0_2475 yields: % 218.81/150.93 | (12534) (all_337_0_2475 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_337_0_2475 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.81/150.93 | % 218.81/150.93 +-Applying beta-rule and splitting (12330), into two cases. % 218.81/150.93 |-Branch one: % 218.81/150.93 | (12353) all_321_0_2434 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.81/150.93 | % 218.81/150.93 | Applying alpha-rule on (12353) yields: % 218.81/150.93 | (12354) all_321_0_2434 = 0 % 218.81/150.93 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.81/150.93 | % 218.81/150.93 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.81/150.93 | (1884) all_110_1_81 = all_0_6_6 % 218.81/150.93 | % 218.81/150.93 | From (1884) and (210) follows: % 218.81/150.93 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.81/150.93 | % 218.81/150.93 +-Applying beta-rule and splitting (12450), into two cases. % 218.81/150.93 |-Branch one: % 218.81/150.93 | (12473) all_329_0_2459 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.81/150.93 | % 218.81/150.93 | Applying alpha-rule on (12473) yields: % 218.81/150.93 | (12474) all_329_0_2459 = 0 % 218.81/150.93 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.81/150.93 | % 218.81/150.93 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.81/150.94 | (7551) all_85_1_73 = e % 218.81/150.94 | % 218.81/150.94 | From (7551) and (184) follows: % 218.81/150.94 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.81/150.94 | % 218.81/150.94 +-Applying beta-rule and splitting (12534), into two cases. % 218.81/150.94 |-Branch one: % 218.81/150.94 | (12545) all_337_0_2475 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.81/150.94 | % 218.81/150.94 | Applying alpha-rule on (12545) yields: % 218.81/150.94 | (12546) all_337_0_2475 = 0 % 218.81/150.94 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.81/150.94 | % 218.81/150.94 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.81/150.94 | (642) all_135_1_87 = all_0_6_6 % 218.81/150.94 | % 218.81/150.94 | From (642) and (232) follows: % 218.81/150.94 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.81/150.94 | % 218.81/150.94 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.81/150.94 | (233) all_110_0_80 = 0 % 218.81/150.94 | % 218.81/150.94 | Equations (233) can reduce 209 to: % 218.81/150.94 | (175) $false % 218.81/150.94 | % 218.81/150.94 |-The branch is then unsatisfiable % 218.81/150.94 |-Branch two: % 218.81/150.94 | (12552) all_337_0_2475 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.81/150.94 | % 218.81/150.94 | Applying alpha-rule on (12552) yields: % 218.81/150.94 | (12546) all_337_0_2475 = 0 % 218.81/150.94 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.81/150.94 | % 218.81/150.94 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.81/150.94 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.81/150.94 | % 218.81/150.94 | Instantiating (669) with all_411_0_2487 yields: % 218.81/150.94 | (12556) (all_411_0_2487 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_411_0_2487 = 0 & mem(all_135_1_87, e) = 0) % 218.81/150.94 | % 218.81/150.94 +-Applying beta-rule and splitting (12556), into two cases. % 218.81/150.94 |-Branch one: % 218.81/150.94 | (12557) all_411_0_2487 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.81/150.94 | % 218.81/150.94 | Applying alpha-rule on (12557) yields: % 218.81/150.94 | (12558) all_411_0_2487 = 0 % 218.81/150.94 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.81/150.94 | % 218.81/150.94 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.81/150.94 | (711) all_135_1_87 = e % 218.81/150.94 | % 218.81/150.94 | From (711) and (241) follows: % 218.81/150.94 | (7594) mem(e, all_57_1_62) = 0 % 218.81/150.94 | % 218.81/150.94 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.81/150.94 | (212) all_85_0_72 = 0 % 218.81/150.94 | % 218.81/150.94 | Equations (212) can reduce 183 to: % 218.81/150.94 | (175) $false % 218.81/150.94 | % 218.81/150.94 |-The branch is then unsatisfiable % 218.81/150.94 |-Branch two: % 218.81/150.94 | (12564) all_411_0_2487 = 0 & mem(all_135_1_87, e) = 0 % 218.81/150.94 | % 218.81/150.94 | Applying alpha-rule on (12564) yields: % 218.81/150.94 | (12558) all_411_0_2487 = 0 % 218.81/150.94 | (726) mem(all_135_1_87, e) = 0 % 218.81/150.94 | % 218.81/150.94 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.81/150.94 | (538) $false % 218.81/150.94 | % 218.81/150.94 |-The branch is then unsatisfiable % 218.81/150.94 |-Branch two: % 218.81/150.94 | (12501) all_329_0_2459 = 0 & mem(all_85_1_73, e) = 0 % 218.81/150.94 | % 218.81/150.94 | Applying alpha-rule on (12501) yields: % 218.81/150.94 | (12474) all_329_0_2459 = 0 % 218.81/150.94 | (7603) mem(all_85_1_73, e) = 0 % 218.81/150.94 | % 218.81/150.94 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.81/150.94 | (538) $false % 218.81/150.94 | % 218.81/150.94 |-The branch is then unsatisfiable % 218.81/150.95 |-Branch two: % 218.81/150.95 | (12360) all_321_0_2434 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.81/150.95 | % 218.81/150.95 | Applying alpha-rule on (12360) yields: % 218.81/150.95 | (12354) all_321_0_2434 = 0 % 218.81/150.95 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.81/150.95 | % 218.81/150.95 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.81/150.95 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.81/150.95 | % 218.81/150.95 | Instantiating (1911) with all_393_0_2491 yields: % 218.81/150.95 | (12576) (all_393_0_2491 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_393_0_2491 = 0 & mem(all_110_1_81, e) = 0) % 218.81/150.95 | % 218.81/150.95 +-Applying beta-rule and splitting (12450), into two cases. % 218.81/150.95 |-Branch one: % 218.81/150.95 | (12473) all_329_0_2459 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.81/150.95 | % 218.81/150.95 | Applying alpha-rule on (12473) yields: % 218.81/150.95 | (12474) all_329_0_2459 = 0 % 218.81/150.95 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.81/150.95 | % 218.81/150.95 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.81/150.95 | (7551) all_85_1_73 = e % 218.81/150.95 | % 218.81/150.95 | From (7551) and (184) follows: % 218.81/150.95 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.81/150.95 | % 218.81/150.95 +-Applying beta-rule and splitting (12576), into two cases. % 218.81/150.95 |-Branch one: % 218.81/150.95 | (12582) all_393_0_2491 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.81/150.95 | % 218.81/150.95 | Applying alpha-rule on (12582) yields: % 218.81/150.95 | (12583) all_393_0_2491 = 0 % 218.81/150.95 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.81/150.95 | % 218.81/150.95 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.81/150.95 | (1953) all_110_1_81 = e % 218.81/150.95 | % 218.81/150.95 | From (1953) and (211) follows: % 218.81/150.95 | (7594) mem(e, all_57_1_62) = 0 % 218.81/150.95 | % 218.81/150.95 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.81/150.95 | (212) all_85_0_72 = 0 % 218.81/150.95 | % 218.81/150.95 | Equations (212) can reduce 183 to: % 218.81/150.95 | (175) $false % 218.81/150.95 | % 218.81/150.95 |-The branch is then unsatisfiable % 218.81/150.95 |-Branch two: % 218.81/150.95 | (12589) all_393_0_2491 = 0 & mem(all_110_1_81, e) = 0 % 218.81/150.95 | % 218.81/150.95 | Applying alpha-rule on (12589) yields: % 218.81/150.95 | (12583) all_393_0_2491 = 0 % 218.81/150.95 | (1968) mem(all_110_1_81, e) = 0 % 218.81/150.95 | % 218.81/150.95 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.81/150.95 | (538) $false % 218.81/150.95 | % 218.81/150.95 |-The branch is then unsatisfiable % 218.81/150.95 |-Branch two: % 218.81/150.95 | (12501) all_329_0_2459 = 0 & mem(all_85_1_73, e) = 0 % 218.81/150.95 | % 218.81/150.95 | Applying alpha-rule on (12501) yields: % 218.81/150.95 | (12474) all_329_0_2459 = 0 % 218.89/150.95 | (7603) mem(all_85_1_73, e) = 0 % 218.89/150.95 | % 218.89/150.95 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.89/150.95 | (538) $false % 218.89/150.95 | % 218.89/150.95 |-The branch is then unsatisfiable % 218.89/150.96 |-Branch two: % 218.89/150.96 | (6234) all_252_0_1232 = 0 & mem(all_181_1_101, all_0_4_4) = 0 % 218.89/150.96 | % 218.89/150.96 | Applying alpha-rule on (6234) yields: % 218.89/150.96 | (6168) all_252_0_1232 = 0 % 218.89/150.96 | (400) mem(all_181_1_101, all_0_4_4) = 0 % 218.89/150.96 | % 218.89/150.96 | Instantiating formula (120) with all_0_4_4, all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms u(all_0_5_5, all_70_0_66) = all_0_4_4, mem(all_181_1_101, all_0_4_4) = 0, yields: % 218.89/150.96 | (401) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_5_5) = 0)) % 218.89/150.96 | % 218.89/150.96 | Instantiating (401) with all_297_0_2493 yields: % 218.89/150.96 | (12601) (all_297_0_2493 = 0 & mem(all_181_1_101, all_70_0_66) = 0) | (all_297_0_2493 = 0 & mem(all_181_1_101, all_0_5_5) = 0) % 218.89/150.96 | % 218.89/150.96 +-Applying beta-rule and splitting (9125), into two cases. % 218.89/150.96 |-Branch one: % 218.89/150.96 | (9285) all_273_0_1800 = 0 & mem(all_110_1_81, all_70_0_66) = 0 % 218.89/150.96 | % 218.89/150.96 | Applying alpha-rule on (9285) yields: % 218.89/150.96 | (9286) all_273_0_1800 = 0 % 218.89/150.96 | (1719) mem(all_110_1_81, all_70_0_66) = 0 % 218.89/150.96 | % 218.89/150.96 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_110_1_81 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_110_1_81, all_70_0_66) = 0, yields: % 218.89/150.96 | (1720) all_110_1_81 = all_0_5_5 % 218.89/150.96 | % 218.89/150.96 | From (1720) and (210) follows: % 218.89/150.96 | (1721) mem(all_0_5_5, all_74_1_69) = all_110_0_80 % 218.89/150.96 | % 218.89/150.96 +-Applying beta-rule and splitting (10294), into two cases. % 218.89/150.96 |-Branch one: % 218.89/150.96 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.89/150.96 | % 218.89/150.96 | Applying alpha-rule on (10454) yields: % 218.89/150.96 | (10455) all_281_0_1971 = 0 % 218.89/150.96 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.89/150.96 | % 218.89/150.96 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.89/150.96 | (7375) all_85_1_73 = all_0_6_6 % 218.89/150.96 | % 218.89/150.96 | From (7375) and (184) follows: % 218.89/150.96 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.89/150.96 | % 218.89/150.96 +-Applying beta-rule and splitting (11714), into two cases. % 218.89/150.96 |-Branch one: % 218.89/150.96 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.89/150.96 | % 218.89/150.96 | Applying alpha-rule on (11846) yields: % 218.89/150.96 | (11847) all_289_0_2290 = 0 % 218.89/150.96 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.89/150.96 | % 218.89/150.96 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.89/150.96 | (478) all_135_1_87 = all_0_5_5 % 218.89/150.96 | % 218.89/150.96 | From (478) and (232) follows: % 218.89/150.96 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.89/150.96 | % 218.89/150.96 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.89/150.96 | (233) all_110_0_80 = 0 % 218.89/150.96 | % 218.89/150.96 | Equations (233) can reduce 209 to: % 218.89/150.96 | (175) $false % 218.89/150.96 | % 218.89/150.96 |-The branch is then unsatisfiable % 218.89/150.96 |-Branch two: % 218.89/150.96 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.89/150.96 | % 218.89/150.96 | Applying alpha-rule on (11853) yields: % 218.89/150.96 | (11847) all_289_0_2290 = 0 % 218.89/150.96 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.89/150.96 | % 218.89/150.96 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.89/150.96 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.89/150.96 | % 218.89/150.96 | Instantiating (608) with all_343_0_2496 yields: % 218.89/150.96 | (12623) (all_343_0_2496 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_343_0_2496 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.89/150.96 | % 218.89/150.97 +-Applying beta-rule and splitting (12601), into two cases. % 218.89/150.97 |-Branch one: % 218.89/150.97 | (12624) all_297_0_2493 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.89/150.97 | % 218.89/150.97 | Applying alpha-rule on (12624) yields: % 218.89/150.97 | (12625) all_297_0_2493 = 0 % 218.89/150.97 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.89/150.97 | % 218.89/150.97 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.89/150.97 | (483) all_181_1_101 = all_0_5_5 % 218.89/150.97 | % 218.89/150.97 | From (483) and (267) follows: % 218.89/150.97 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.89/150.97 | % 218.89/150.97 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.89/150.97 | (233) all_110_0_80 = 0 % 218.89/150.97 | % 218.89/150.97 | Equations (233) can reduce 209 to: % 218.89/150.97 | (175) $false % 218.89/150.97 | % 218.89/150.97 |-The branch is then unsatisfiable % 218.89/150.97 |-Branch two: % 218.89/150.97 | (12631) all_297_0_2493 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.89/150.97 | % 218.89/150.97 | Applying alpha-rule on (12631) yields: % 218.89/150.97 | (12625) all_297_0_2493 = 0 % 218.89/150.97 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.89/150.97 | % 218.89/150.97 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.89/150.97 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.89/150.97 | % 218.89/150.97 | Instantiating (490) with all_351_0_2497 yields: % 218.89/150.97 | (12635) (all_351_0_2497 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_2497 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.89/150.97 | % 218.89/150.97 +-Applying beta-rule and splitting (12623), into two cases. % 218.89/150.97 |-Branch one: % 218.89/150.97 | (12636) all_343_0_2496 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.89/150.97 | % 218.89/150.97 | Applying alpha-rule on (12636) yields: % 218.89/150.97 | (12637) all_343_0_2496 = 0 % 218.89/150.97 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.89/150.97 | % 218.89/150.97 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.89/150.97 | (642) all_135_1_87 = all_0_6_6 % 218.89/150.97 | % 218.89/150.97 | From (642) and (241) follows: % 218.89/150.97 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.89/150.97 | % 218.89/150.97 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.89/150.97 | (212) all_85_0_72 = 0 % 218.89/150.97 | % 218.89/150.97 | Equations (212) can reduce 183 to: % 218.89/150.97 | (175) $false % 218.89/150.97 | % 218.89/150.97 |-The branch is then unsatisfiable % 218.89/150.97 |-Branch two: % 218.89/150.97 | (12643) all_343_0_2496 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.89/150.97 | % 218.89/150.97 | Applying alpha-rule on (12643) yields: % 218.89/150.97 | (12637) all_343_0_2496 = 0 % 218.89/150.97 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.89/150.97 | % 218.89/150.97 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.89/150.97 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.89/150.97 | % 218.89/150.97 | Instantiating (669) with all_409_0_2506 yields: % 218.89/150.97 | (12647) (all_409_0_2506 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_409_0_2506 = 0 & mem(all_135_1_87, e) = 0) % 218.89/150.97 | % 218.89/150.97 +-Applying beta-rule and splitting (12635), into two cases. % 218.89/150.97 |-Branch one: % 218.89/150.97 | (12648) all_351_0_2497 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.89/150.97 | % 218.89/150.97 | Applying alpha-rule on (12648) yields: % 218.89/150.97 | (12649) all_351_0_2497 = 0 % 218.89/150.97 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.89/150.97 | % 218.89/150.97 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.89/150.97 | (519) all_181_1_101 = all_0_6_6 % 218.89/150.97 | % 218.89/150.97 | From (519) and (287) follows: % 218.89/150.97 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.89/150.97 | % 218.89/150.97 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.89/150.97 | (212) all_85_0_72 = 0 % 218.89/150.97 | % 218.89/150.97 | Equations (212) can reduce 183 to: % 218.89/150.97 | (175) $false % 218.89/150.97 | % 218.89/150.97 |-The branch is then unsatisfiable % 218.89/150.97 |-Branch two: % 218.89/150.97 | (12655) all_351_0_2497 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.89/150.97 | % 218.89/150.97 | Applying alpha-rule on (12655) yields: % 218.89/150.98 | (12649) all_351_0_2497 = 0 % 218.89/150.98 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.89/150.98 | % 218.89/150.98 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.89/150.98 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.89/150.98 | % 218.89/150.98 | Instantiating (546) with all_417_0_2507 yields: % 218.89/150.98 | (12659) (all_417_0_2507 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_417_0_2507 = 0 & mem(all_181_1_101, e) = 0) % 218.89/150.98 | % 218.89/150.98 +-Applying beta-rule and splitting (12647), into two cases. % 218.89/150.98 |-Branch one: % 218.89/150.98 | (12660) all_409_0_2506 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.89/150.98 | % 218.89/150.98 | Applying alpha-rule on (12660) yields: % 218.89/150.98 | (12661) all_409_0_2506 = 0 % 218.89/150.98 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.89/150.98 | % 218.89/150.98 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.89/150.98 | (711) all_135_1_87 = e % 218.89/150.98 | % 218.89/150.98 | From (711) and (231) follows: % 218.89/150.98 | (712) mem(e, all_99_1_77) = all_135_0_86 % 218.89/150.98 | % 218.89/150.98 +-Applying beta-rule and splitting (12659), into two cases. % 218.89/150.98 |-Branch one: % 218.89/150.98 | (12665) all_417_0_2507 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.89/150.98 | % 218.89/150.98 | Applying alpha-rule on (12665) yields: % 218.89/150.98 | (12666) all_417_0_2507 = 0 % 218.89/150.98 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.89/150.98 | % 218.89/150.98 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.89/150.98 | (588) all_181_1_101 = e % 218.89/150.98 | % 218.89/150.98 | From (588) and (260) follows: % 218.89/150.98 | (717) mem(e, all_99_1_77) = 0 % 218.89/150.98 | % 218.89/150.98 | Instantiating formula (65) with e, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(e, all_99_1_77) = all_135_0_86, mem(e, all_99_1_77) = 0, yields: % 218.89/150.98 | (261) all_135_0_86 = 0 % 218.89/150.98 | % 218.89/150.98 | Equations (261) can reduce 230 to: % 218.89/150.98 | (175) $false % 218.89/150.98 | % 218.89/150.98 |-The branch is then unsatisfiable % 218.89/150.98 |-Branch two: % 218.89/150.98 | (12672) all_417_0_2507 = 0 & mem(all_181_1_101, e) = 0 % 218.89/150.98 | % 218.89/150.98 | Applying alpha-rule on (12672) yields: % 218.89/150.98 | (12666) all_417_0_2507 = 0 % 218.89/150.98 | (603) mem(all_181_1_101, e) = 0 % 218.89/150.98 | % 218.89/150.98 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.89/150.98 | (538) $false % 218.89/150.98 | % 218.89/150.98 |-The branch is then unsatisfiable % 218.89/150.98 |-Branch two: % 218.89/150.98 | (12676) all_409_0_2506 = 0 & mem(all_135_1_87, e) = 0 % 218.89/150.98 | % 218.89/150.98 | Applying alpha-rule on (12676) yields: % 218.89/150.98 | (12661) all_409_0_2506 = 0 % 218.89/150.98 | (726) mem(all_135_1_87, e) = 0 % 218.89/150.98 | % 218.89/150.98 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.89/150.98 | (538) $false % 218.89/150.98 | % 218.89/150.98 |-The branch is then unsatisfiable % 218.89/150.98 |-Branch two: % 218.89/150.98 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.89/150.98 | % 218.89/150.98 | Applying alpha-rule on (10493) yields: % 218.89/150.98 | (10455) all_281_0_1971 = 0 % 218.89/150.99 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.89/150.99 | % 218.89/150.99 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.89/150.99 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.89/150.99 | % 218.89/150.99 | Instantiating (7517) with all_332_0_2508 yields: % 218.89/150.99 | (12684) (all_332_0_2508 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_332_0_2508 = 0 & mem(all_85_1_73, e) = 0) % 218.89/150.99 | % 218.89/150.99 +-Applying beta-rule and splitting (11714), into two cases. % 218.89/150.99 |-Branch one: % 218.89/150.99 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.89/150.99 | % 218.89/150.99 | Applying alpha-rule on (11846) yields: % 218.89/150.99 | (11847) all_289_0_2290 = 0 % 218.89/150.99 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.89/150.99 | % 218.89/150.99 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.89/150.99 | (478) all_135_1_87 = all_0_5_5 % 218.89/150.99 | % 218.89/150.99 | From (478) and (232) follows: % 218.89/150.99 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.89/150.99 | % 218.89/150.99 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.89/150.99 | (233) all_110_0_80 = 0 % 218.89/150.99 | % 218.89/150.99 | Equations (233) can reduce 209 to: % 218.89/150.99 | (175) $false % 218.89/150.99 | % 218.89/150.99 |-The branch is then unsatisfiable % 218.89/150.99 |-Branch two: % 218.89/150.99 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.89/150.99 | % 218.89/150.99 | Applying alpha-rule on (11853) yields: % 218.89/150.99 | (11847) all_289_0_2290 = 0 % 218.89/150.99 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.89/150.99 | % 218.89/150.99 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.89/150.99 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.89/150.99 | % 218.89/150.99 | Instantiating (608) with all_340_0_2509 yields: % 218.89/150.99 | (12696) (all_340_0_2509 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_2509 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.89/150.99 | % 218.89/150.99 +-Applying beta-rule and splitting (12601), into two cases. % 218.89/150.99 |-Branch one: % 218.89/150.99 | (12624) all_297_0_2493 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.89/150.99 | % 218.89/150.99 | Applying alpha-rule on (12624) yields: % 218.89/150.99 | (12625) all_297_0_2493 = 0 % 218.89/150.99 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.89/150.99 | % 218.89/150.99 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.89/150.99 | (483) all_181_1_101 = all_0_5_5 % 218.89/150.99 | % 218.89/150.99 | From (483) and (267) follows: % 218.89/150.99 | (1726) mem(all_0_5_5, all_74_1_69) = 0 % 218.89/150.99 | % 218.89/150.99 | Instantiating formula (65) with all_0_5_5, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_5_5, all_74_1_69) = all_110_0_80, mem(all_0_5_5, all_74_1_69) = 0, yields: % 218.89/150.99 | (233) all_110_0_80 = 0 % 218.89/150.99 | % 218.89/150.99 | Equations (233) can reduce 209 to: % 218.89/150.99 | (175) $false % 218.89/150.99 | % 218.89/150.99 |-The branch is then unsatisfiable % 218.89/150.99 |-Branch two: % 218.89/150.99 | (12631) all_297_0_2493 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.89/150.99 | % 218.89/150.99 | Applying alpha-rule on (12631) yields: % 218.89/150.99 | (12625) all_297_0_2493 = 0 % 218.89/150.99 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.89/150.99 | % 218.89/150.99 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.89/150.99 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.89/150.99 | % 218.89/150.99 | Instantiating (490) with all_348_0_2510 yields: % 218.89/150.99 | (12708) (all_348_0_2510 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_348_0_2510 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.89/150.99 | % 218.89/150.99 +-Applying beta-rule and splitting (12684), into two cases. % 218.89/150.99 |-Branch one: % 218.89/150.99 | (12709) all_332_0_2508 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.89/150.99 | % 218.89/150.99 | Applying alpha-rule on (12709) yields: % 218.93/150.99 | (12710) all_332_0_2508 = 0 % 218.93/150.99 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.93/150.99 | % 218.93/150.99 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.93/150.99 | (7551) all_85_1_73 = e % 218.93/150.99 | % 218.93/150.99 | From (7551) and (184) follows: % 218.93/150.99 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.93/150.99 | % 218.93/151.00 +-Applying beta-rule and splitting (12696), into two cases. % 218.93/151.00 |-Branch one: % 218.93/151.00 | (12714) all_340_0_2509 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.93/151.00 | % 218.93/151.00 | Applying alpha-rule on (12714) yields: % 218.93/151.00 | (12715) all_340_0_2509 = 0 % 218.93/151.00 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.93/151.00 | % 218.93/151.00 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.93/151.00 | (642) all_135_1_87 = all_0_6_6 % 218.93/151.00 | % 218.93/151.00 | From (642) and (231) follows: % 218.93/151.00 | (643) mem(all_0_6_6, all_99_1_77) = all_135_0_86 % 218.93/151.00 | % 218.93/151.00 +-Applying beta-rule and splitting (12708), into two cases. % 218.93/151.00 |-Branch one: % 218.93/151.00 | (12719) all_348_0_2510 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.93/151.00 | % 218.93/151.00 | Applying alpha-rule on (12719) yields: % 218.93/151.00 | (12720) all_348_0_2510 = 0 % 218.93/151.00 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.93/151.00 | % 218.93/151.00 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.93/151.00 | (519) all_181_1_101 = all_0_6_6 % 218.93/151.00 | % 218.93/151.00 | From (519) and (260) follows: % 218.93/151.00 | (648) mem(all_0_6_6, all_99_1_77) = 0 % 218.93/151.00 | % 218.93/151.00 | Instantiating formula (65) with all_0_6_6, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_6_6, all_99_1_77) = all_135_0_86, mem(all_0_6_6, all_99_1_77) = 0, yields: % 218.93/151.00 | (261) all_135_0_86 = 0 % 218.93/151.00 | % 218.93/151.00 | Equations (261) can reduce 230 to: % 218.93/151.00 | (175) $false % 218.93/151.00 | % 218.93/151.00 |-The branch is then unsatisfiable % 218.93/151.00 |-Branch two: % 218.93/151.00 | (12726) all_348_0_2510 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.93/151.00 | % 218.93/151.00 | Applying alpha-rule on (12726) yields: % 218.93/151.00 | (12720) all_348_0_2510 = 0 % 218.93/151.00 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.93/151.00 | % 218.93/151.00 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.93/151.00 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.93/151.00 | % 218.93/151.00 | Instantiating (546) with all_424_0_2517 yields: % 218.93/151.00 | (12730) (all_424_0_2517 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_424_0_2517 = 0 & mem(all_181_1_101, e) = 0) % 218.93/151.00 | % 218.93/151.00 +-Applying beta-rule and splitting (12730), into two cases. % 218.93/151.00 |-Branch one: % 218.93/151.00 | (12731) all_424_0_2517 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.93/151.00 | % 218.93/151.00 | Applying alpha-rule on (12731) yields: % 218.93/151.00 | (12732) all_424_0_2517 = 0 % 218.93/151.00 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.93/151.00 | % 218.93/151.00 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.93/151.00 | (588) all_181_1_101 = e % 218.93/151.00 | % 218.93/151.00 | From (588) and (287) follows: % 218.93/151.00 | (7594) mem(e, all_57_1_62) = 0 % 218.93/151.00 | % 218.93/151.00 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.93/151.00 | (212) all_85_0_72 = 0 % 218.93/151.00 | % 218.93/151.00 | Equations (212) can reduce 183 to: % 218.93/151.00 | (175) $false % 218.93/151.00 | % 218.93/151.00 |-The branch is then unsatisfiable % 218.93/151.00 |-Branch two: % 218.93/151.00 | (12738) all_424_0_2517 = 0 & mem(all_181_1_101, e) = 0 % 218.93/151.00 | % 218.93/151.00 | Applying alpha-rule on (12738) yields: % 218.93/151.00 | (12732) all_424_0_2517 = 0 % 218.93/151.00 | (603) mem(all_181_1_101, e) = 0 % 218.93/151.00 | % 218.93/151.00 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.93/151.00 | (538) $false % 218.93/151.00 | % 218.93/151.00 |-The branch is then unsatisfiable % 218.93/151.00 |-Branch two: % 218.93/151.00 | (12742) all_340_0_2509 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.93/151.00 | % 218.93/151.00 | Applying alpha-rule on (12742) yields: % 218.93/151.01 | (12715) all_340_0_2509 = 0 % 218.93/151.01 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.93/151.01 | % 218.93/151.01 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.93/151.01 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.93/151.01 | % 218.93/151.01 | Instantiating (669) with all_413_0_2518 yields: % 218.93/151.01 | (12746) (all_413_0_2518 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_413_0_2518 = 0 & mem(all_135_1_87, e) = 0) % 218.93/151.01 | % 218.93/151.01 +-Applying beta-rule and splitting (12746), into two cases. % 218.93/151.01 |-Branch one: % 218.93/151.01 | (12747) all_413_0_2518 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.93/151.01 | % 218.93/151.01 | Applying alpha-rule on (12747) yields: % 218.93/151.01 | (12748) all_413_0_2518 = 0 % 218.93/151.01 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.93/151.01 | % 218.93/151.01 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.93/151.01 | (711) all_135_1_87 = e % 218.93/151.01 | % 218.93/151.01 | From (711) and (241) follows: % 218.93/151.01 | (7594) mem(e, all_57_1_62) = 0 % 218.93/151.01 | % 218.93/151.01 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.93/151.01 | (212) all_85_0_72 = 0 % 218.93/151.01 | % 218.93/151.01 | Equations (212) can reduce 183 to: % 218.93/151.01 | (175) $false % 218.93/151.01 | % 218.93/151.01 |-The branch is then unsatisfiable % 218.93/151.01 |-Branch two: % 218.93/151.01 | (12754) all_413_0_2518 = 0 & mem(all_135_1_87, e) = 0 % 218.93/151.01 | % 218.93/151.01 | Applying alpha-rule on (12754) yields: % 218.93/151.01 | (12748) all_413_0_2518 = 0 % 218.93/151.01 | (726) mem(all_135_1_87, e) = 0 % 218.93/151.01 | % 218.93/151.01 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.93/151.01 | (538) $false % 218.93/151.01 | % 218.93/151.01 |-The branch is then unsatisfiable % 218.93/151.01 |-Branch two: % 218.93/151.01 | (12758) all_332_0_2508 = 0 & mem(all_85_1_73, e) = 0 % 218.93/151.01 | % 218.93/151.01 | Applying alpha-rule on (12758) yields: % 218.93/151.01 | (12710) all_332_0_2508 = 0 % 218.93/151.01 | (7603) mem(all_85_1_73, e) = 0 % 218.93/151.01 | % 218.93/151.01 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.93/151.01 | (538) $false % 218.93/151.01 | % 218.93/151.01 |-The branch is then unsatisfiable % 218.93/151.01 |-Branch two: % 218.93/151.01 | (9292) all_273_0_1800 = 0 & mem(all_110_1_81, all_0_5_5) = 0 % 218.93/151.01 | % 218.93/151.01 | Applying alpha-rule on (9292) yields: % 218.93/151.01 | (9286) all_273_0_1800 = 0 % 218.93/151.01 | (1849) mem(all_110_1_81, all_0_5_5) = 0 % 218.93/151.01 | % 218.93/151.01 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_110_1_81, all_0_5_5) = 0, yields: % 218.93/151.01 | (1850) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (v0 = 0 & mem(all_110_1_81, all_0_6_6) = 0)) % 218.93/151.01 | % 218.93/151.01 | Instantiating (1850) with all_321_0_2521 yields: % 218.93/151.01 | (12766) (all_321_0_2521 = 0 & mem(all_110_1_81, all_0_3_3) = 0) | (all_321_0_2521 = 0 & mem(all_110_1_81, all_0_6_6) = 0) % 218.93/151.01 | % 218.93/151.01 +-Applying beta-rule and splitting (10294), into two cases. % 218.93/151.01 |-Branch one: % 218.93/151.01 | (10454) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_3_3) = 0 % 218.93/151.01 | % 218.93/151.02 | Applying alpha-rule on (10454) yields: % 218.93/151.02 | (10455) all_281_0_1971 = 0 % 218.93/151.02 | (7374) mem(all_85_1_73, all_0_3_3) = 0 % 218.93/151.02 | % 218.93/151.02 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_85_1_73 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_85_1_73, all_0_3_3) = 0, yields: % 218.93/151.02 | (7375) all_85_1_73 = all_0_6_6 % 218.93/151.02 | % 218.93/151.02 | From (7375) and (184) follows: % 218.93/151.02 | (7376) mem(all_0_6_6, all_57_1_62) = all_85_0_72 % 218.93/151.02 | % 218.93/151.02 +-Applying beta-rule and splitting (11714), into two cases. % 218.93/151.02 |-Branch one: % 218.93/151.02 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.93/151.02 | % 218.93/151.02 | Applying alpha-rule on (11846) yields: % 218.93/151.02 | (11847) all_289_0_2290 = 0 % 218.93/151.02 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.93/151.02 | % 218.93/151.02 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.93/151.02 | (478) all_135_1_87 = all_0_5_5 % 218.93/151.02 | % 218.93/151.02 | From (478) and (231) follows: % 218.93/151.02 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 218.93/151.02 | % 218.93/151.02 +-Applying beta-rule and splitting (12601), into two cases. % 218.93/151.02 |-Branch one: % 218.93/151.02 | (12624) all_297_0_2493 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.93/151.02 | % 218.93/151.02 | Applying alpha-rule on (12624) yields: % 218.93/151.02 | (12625) all_297_0_2493 = 0 % 218.93/151.02 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.93/151.02 | % 218.93/151.02 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.93/151.02 | (483) all_181_1_101 = all_0_5_5 % 218.93/151.02 | % 218.93/151.02 | From (483) and (260) follows: % 218.93/151.02 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 218.93/151.02 | % 218.93/151.02 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 218.93/151.02 | (261) all_135_0_86 = 0 % 218.93/151.02 | % 218.93/151.02 | Equations (261) can reduce 230 to: % 218.93/151.02 | (175) $false % 218.93/151.02 | % 218.93/151.02 |-The branch is then unsatisfiable % 218.93/151.02 |-Branch two: % 218.93/151.02 | (12631) all_297_0_2493 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.93/151.02 | % 218.93/151.02 | Applying alpha-rule on (12631) yields: % 218.93/151.02 | (12625) all_297_0_2493 = 0 % 218.93/151.02 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.93/151.02 | % 218.93/151.02 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.93/151.02 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.93/151.02 | % 218.93/151.02 | Instantiating (490) with all_351_0_2522 yields: % 218.93/151.02 | (12788) (all_351_0_2522 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_351_0_2522 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.93/151.02 | % 218.93/151.02 +-Applying beta-rule and splitting (12766), into two cases. % 218.93/151.02 |-Branch one: % 218.93/151.02 | (12789) all_321_0_2521 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.93/151.02 | % 218.93/151.02 | Applying alpha-rule on (12789) yields: % 218.93/151.02 | (12790) all_321_0_2521 = 0 % 218.93/151.02 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.93/151.02 | % 218.93/151.02 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.93/151.02 | (1884) all_110_1_81 = all_0_6_6 % 218.93/151.02 | % 218.93/151.02 | From (1884) and (211) follows: % 218.93/151.02 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.93/151.02 | % 218.93/151.02 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.93/151.02 | (212) all_85_0_72 = 0 % 218.93/151.02 | % 218.93/151.02 | Equations (212) can reduce 183 to: % 218.93/151.02 | (175) $false % 218.93/151.02 | % 218.93/151.02 |-The branch is then unsatisfiable % 218.93/151.02 |-Branch two: % 218.93/151.02 | (12796) all_321_0_2521 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.93/151.02 | % 218.93/151.02 | Applying alpha-rule on (12796) yields: % 218.93/151.02 | (12790) all_321_0_2521 = 0 % 218.93/151.02 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.93/151.02 | % 218.93/151.02 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.93/151.02 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.93/151.02 | % 218.93/151.02 | Instantiating (1911) with all_409_0_2531 yields: % 218.93/151.03 | (12800) (all_409_0_2531 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_409_0_2531 = 0 & mem(all_110_1_81, e) = 0) % 218.93/151.03 | % 218.93/151.03 +-Applying beta-rule and splitting (12788), into two cases. % 218.93/151.03 |-Branch one: % 218.93/151.03 | (12801) all_351_0_2522 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.93/151.03 | % 218.93/151.03 | Applying alpha-rule on (12801) yields: % 218.93/151.03 | (12802) all_351_0_2522 = 0 % 218.93/151.03 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.93/151.03 | % 218.93/151.03 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.93/151.03 | (519) all_181_1_101 = all_0_6_6 % 218.93/151.03 | % 218.93/151.03 | From (519) and (287) follows: % 218.93/151.03 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.93/151.03 | % 218.93/151.03 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.93/151.03 | (212) all_85_0_72 = 0 % 218.93/151.03 | % 218.93/151.03 | Equations (212) can reduce 183 to: % 218.93/151.03 | (175) $false % 218.93/151.03 | % 218.93/151.03 |-The branch is then unsatisfiable % 218.93/151.03 |-Branch two: % 218.93/151.03 | (12808) all_351_0_2522 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.93/151.03 | % 218.93/151.03 | Applying alpha-rule on (12808) yields: % 218.93/151.03 | (12802) all_351_0_2522 = 0 % 218.93/151.03 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.93/151.03 | % 218.93/151.03 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.93/151.03 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.93/151.03 | % 218.93/151.03 | Instantiating (546) with all_417_0_2532 yields: % 218.93/151.03 | (12812) (all_417_0_2532 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_417_0_2532 = 0 & mem(all_181_1_101, e) = 0) % 218.93/151.03 | % 218.93/151.03 +-Applying beta-rule and splitting (12800), into two cases. % 218.93/151.03 |-Branch one: % 218.93/151.03 | (12813) all_409_0_2531 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.93/151.03 | % 218.93/151.03 | Applying alpha-rule on (12813) yields: % 218.93/151.03 | (12814) all_409_0_2531 = 0 % 218.93/151.03 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.93/151.03 | % 218.93/151.03 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.93/151.03 | (1953) all_110_1_81 = e % 218.93/151.03 | % 218.93/151.03 | From (1953) and (210) follows: % 218.93/151.03 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 218.93/151.03 | % 218.93/151.03 +-Applying beta-rule and splitting (12812), into two cases. % 218.93/151.03 |-Branch one: % 218.93/151.03 | (12818) all_417_0_2532 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.93/151.03 | % 218.93/151.03 | Applying alpha-rule on (12818) yields: % 218.93/151.03 | (12819) all_417_0_2532 = 0 % 218.93/151.03 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.93/151.03 | % 218.93/151.03 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.93/151.03 | (588) all_181_1_101 = e % 218.93/151.03 | % 218.93/151.03 | From (588) and (267) follows: % 218.93/151.03 | (1959) mem(e, all_74_1_69) = 0 % 218.93/151.03 | % 218.93/151.03 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 218.93/151.03 | (233) all_110_0_80 = 0 % 218.93/151.03 | % 218.93/151.03 | Equations (233) can reduce 209 to: % 218.93/151.03 | (175) $false % 218.93/151.03 | % 218.93/151.03 |-The branch is then unsatisfiable % 218.93/151.03 |-Branch two: % 218.93/151.03 | (12825) all_417_0_2532 = 0 & mem(all_181_1_101, e) = 0 % 218.93/151.03 | % 218.93/151.03 | Applying alpha-rule on (12825) yields: % 218.93/151.03 | (12819) all_417_0_2532 = 0 % 218.93/151.03 | (603) mem(all_181_1_101, e) = 0 % 218.93/151.03 | % 218.93/151.03 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.93/151.03 | (538) $false % 218.93/151.03 | % 218.93/151.03 |-The branch is then unsatisfiable % 218.93/151.03 |-Branch two: % 218.93/151.03 | (12829) all_409_0_2531 = 0 & mem(all_110_1_81, e) = 0 % 218.93/151.03 | % 218.93/151.03 | Applying alpha-rule on (12829) yields: % 218.93/151.03 | (12814) all_409_0_2531 = 0 % 218.93/151.04 | (1968) mem(all_110_1_81, e) = 0 % 218.93/151.04 | % 218.93/151.04 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.93/151.04 | (538) $false % 218.93/151.04 | % 218.93/151.04 |-The branch is then unsatisfiable % 218.98/151.04 |-Branch two: % 218.98/151.04 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.98/151.04 | % 218.98/151.04 | Applying alpha-rule on (11853) yields: % 218.98/151.04 | (11847) all_289_0_2290 = 0 % 218.98/151.04 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.98/151.04 | % 218.98/151.04 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.98/151.04 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.98/151.04 | % 218.98/151.04 | Instantiating (608) with all_340_0_2533 yields: % 218.98/151.04 | (12837) (all_340_0_2533 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_340_0_2533 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.98/151.04 | % 218.98/151.04 +-Applying beta-rule and splitting (12766), into two cases. % 218.98/151.04 |-Branch one: % 218.98/151.04 | (12789) all_321_0_2521 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.98/151.04 | % 218.98/151.04 | Applying alpha-rule on (12789) yields: % 218.98/151.04 | (12790) all_321_0_2521 = 0 % 218.98/151.04 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.98/151.04 | % 218.98/151.04 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.98/151.04 | (1884) all_110_1_81 = all_0_6_6 % 218.98/151.04 | % 218.98/151.04 | From (1884) and (211) follows: % 218.98/151.04 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.98/151.04 | % 218.98/151.04 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.98/151.04 | (212) all_85_0_72 = 0 % 218.98/151.04 | % 218.98/151.04 | Equations (212) can reduce 183 to: % 218.98/151.04 | (175) $false % 218.98/151.04 | % 218.98/151.04 |-The branch is then unsatisfiable % 218.98/151.04 |-Branch two: % 218.98/151.04 | (12796) all_321_0_2521 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.98/151.04 | % 218.98/151.04 | Applying alpha-rule on (12796) yields: % 218.98/151.04 | (12790) all_321_0_2521 = 0 % 218.98/151.04 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.98/151.04 | % 218.98/151.04 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.98/151.04 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.98/151.04 | % 218.98/151.04 | Instantiating (1911) with all_409_0_2542 yields: % 218.98/151.04 | (12849) (all_409_0_2542 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_409_0_2542 = 0 & mem(all_110_1_81, e) = 0) % 218.98/151.04 | % 218.98/151.04 +-Applying beta-rule and splitting (12837), into two cases. % 218.98/151.04 |-Branch one: % 218.98/151.04 | (12850) all_340_0_2533 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.98/151.04 | % 218.98/151.04 | Applying alpha-rule on (12850) yields: % 218.98/151.04 | (12851) all_340_0_2533 = 0 % 218.98/151.04 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.98/151.04 | % 218.98/151.04 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.98/151.04 | (642) all_135_1_87 = all_0_6_6 % 218.98/151.04 | % 218.98/151.04 | From (642) and (241) follows: % 218.98/151.04 | (7398) mem(all_0_6_6, all_57_1_62) = 0 % 218.98/151.04 | % 218.98/151.04 | Instantiating formula (65) with all_0_6_6, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(all_0_6_6, all_57_1_62) = all_85_0_72, mem(all_0_6_6, all_57_1_62) = 0, yields: % 218.98/151.04 | (212) all_85_0_72 = 0 % 218.98/151.04 | % 218.98/151.04 | Equations (212) can reduce 183 to: % 218.98/151.04 | (175) $false % 218.98/151.04 | % 218.98/151.04 |-The branch is then unsatisfiable % 218.98/151.04 |-Branch two: % 218.98/151.04 | (12857) all_340_0_2533 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.98/151.05 | % 218.98/151.05 | Applying alpha-rule on (12857) yields: % 218.98/151.05 | (12851) all_340_0_2533 = 0 % 218.98/151.05 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.98/151.05 | % 218.98/151.05 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.98/151.05 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.98/151.05 | % 218.98/151.05 | Instantiating (669) with all_417_0_2543 yields: % 218.98/151.05 | (12861) (all_417_0_2543 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_417_0_2543 = 0 & mem(all_135_1_87, e) = 0) % 218.98/151.05 | % 218.98/151.05 +-Applying beta-rule and splitting (12849), into two cases. % 218.98/151.05 |-Branch one: % 218.98/151.05 | (12862) all_409_0_2542 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.98/151.05 | % 218.98/151.05 | Applying alpha-rule on (12862) yields: % 218.98/151.05 | (12863) all_409_0_2542 = 0 % 218.98/151.05 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.98/151.05 | % 218.98/151.05 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.98/151.05 | (1953) all_110_1_81 = e % 218.98/151.05 | % 218.98/151.05 | From (1953) and (210) follows: % 218.98/151.05 | (1954) mem(e, all_74_1_69) = all_110_0_80 % 218.98/151.05 | % 218.98/151.05 +-Applying beta-rule and splitting (12861), into two cases. % 218.98/151.05 |-Branch one: % 218.98/151.05 | (12867) all_417_0_2543 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.98/151.05 | % 218.98/151.05 | Applying alpha-rule on (12867) yields: % 218.98/151.05 | (12868) all_417_0_2543 = 0 % 218.98/151.05 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.98/151.05 | % 218.98/151.05 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.98/151.05 | (711) all_135_1_87 = e % 218.98/151.05 | % 218.98/151.05 | From (711) and (232) follows: % 218.98/151.05 | (1959) mem(e, all_74_1_69) = 0 % 218.98/151.05 | % 218.98/151.05 | Instantiating formula (65) with e, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(e, all_74_1_69) = all_110_0_80, mem(e, all_74_1_69) = 0, yields: % 218.98/151.05 | (233) all_110_0_80 = 0 % 218.98/151.05 | % 218.98/151.05 | Equations (233) can reduce 209 to: % 218.98/151.05 | (175) $false % 218.98/151.05 | % 218.98/151.05 |-The branch is then unsatisfiable % 218.98/151.05 |-Branch two: % 218.98/151.05 | (12874) all_417_0_2543 = 0 & mem(all_135_1_87, e) = 0 % 218.98/151.05 | % 218.98/151.05 | Applying alpha-rule on (12874) yields: % 218.98/151.05 | (12868) all_417_0_2543 = 0 % 218.98/151.05 | (726) mem(all_135_1_87, e) = 0 % 218.98/151.05 | % 218.98/151.05 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.98/151.05 | (538) $false % 218.98/151.05 | % 218.98/151.05 |-The branch is then unsatisfiable % 218.98/151.05 |-Branch two: % 218.98/151.05 | (12878) all_409_0_2542 = 0 & mem(all_110_1_81, e) = 0 % 218.98/151.05 | % 218.98/151.05 | Applying alpha-rule on (12878) yields: % 218.98/151.05 | (12863) all_409_0_2542 = 0 % 218.98/151.05 | (1968) mem(all_110_1_81, e) = 0 % 218.98/151.05 | % 218.98/151.05 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.98/151.05 | (538) $false % 218.98/151.05 | % 218.98/151.05 |-The branch is then unsatisfiable % 218.98/151.05 |-Branch two: % 218.98/151.06 | (10493) all_281_0_1971 = 0 & mem(all_85_1_73, all_0_6_6) = 0 % 218.98/151.06 | % 218.98/151.06 | Applying alpha-rule on (10493) yields: % 218.98/151.06 | (10455) all_281_0_1971 = 0 % 218.98/151.06 | (7516) mem(all_85_1_73, all_0_6_6) = 0 % 218.98/151.06 | % 218.98/151.06 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_85_1_73 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_85_1_73, all_0_6_6) = 0, yields: % 218.98/151.06 | (7517) ? [v0] : ((v0 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (v0 = 0 & mem(all_85_1_73, e) = 0)) % 218.98/151.06 | % 218.98/151.06 | Instantiating (7517) with all_329_0_2544 yields: % 218.98/151.06 | (12886) (all_329_0_2544 = 0 & mem(all_85_1_73, all_66_0_64) = 0) | (all_329_0_2544 = 0 & mem(all_85_1_73, e) = 0) % 218.98/151.06 | % 218.98/151.06 +-Applying beta-rule and splitting (11714), into two cases. % 218.98/151.06 |-Branch one: % 218.98/151.06 | (11846) all_289_0_2290 = 0 & mem(all_135_1_87, all_70_0_66) = 0 % 218.98/151.06 | % 218.98/151.06 | Applying alpha-rule on (11846) yields: % 218.98/151.06 | (11847) all_289_0_2290 = 0 % 218.98/151.06 | (477) mem(all_135_1_87, all_70_0_66) = 0 % 218.98/151.06 | % 218.98/151.06 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_135_1_87 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_135_1_87, all_70_0_66) = 0, yields: % 218.98/151.06 | (478) all_135_1_87 = all_0_5_5 % 218.98/151.06 | % 218.98/151.06 | From (478) and (231) follows: % 218.98/151.06 | (479) mem(all_0_5_5, all_99_1_77) = all_135_0_86 % 218.98/151.06 | % 218.98/151.06 +-Applying beta-rule and splitting (12601), into two cases. % 218.98/151.06 |-Branch one: % 218.98/151.06 | (12624) all_297_0_2493 = 0 & mem(all_181_1_101, all_70_0_66) = 0 % 218.98/151.06 | % 218.98/151.06 | Applying alpha-rule on (12624) yields: % 218.98/151.06 | (12625) all_297_0_2493 = 0 % 218.98/151.06 | (482) mem(all_181_1_101, all_70_0_66) = 0 % 218.98/151.06 | % 218.98/151.06 | Instantiating formula (23) with all_70_0_66, all_0_5_5, all_181_1_101 and discharging atoms s(all_0_5_5) = all_70_0_66, mem(all_181_1_101, all_70_0_66) = 0, yields: % 218.98/151.06 | (483) all_181_1_101 = all_0_5_5 % 218.98/151.06 | % 218.98/151.06 | From (483) and (260) follows: % 218.98/151.06 | (484) mem(all_0_5_5, all_99_1_77) = 0 % 218.98/151.06 | % 218.98/151.06 | Instantiating formula (65) with all_0_5_5, all_99_1_77, 0, all_135_0_86 and discharging atoms mem(all_0_5_5, all_99_1_77) = all_135_0_86, mem(all_0_5_5, all_99_1_77) = 0, yields: % 218.98/151.06 | (261) all_135_0_86 = 0 % 218.98/151.06 | % 218.98/151.06 | Equations (261) can reduce 230 to: % 218.98/151.06 | (175) $false % 218.98/151.06 | % 218.98/151.06 |-The branch is then unsatisfiable % 218.98/151.06 |-Branch two: % 218.98/151.06 | (12631) all_297_0_2493 = 0 & mem(all_181_1_101, all_0_5_5) = 0 % 218.98/151.06 | % 218.98/151.06 | Applying alpha-rule on (12631) yields: % 218.98/151.06 | (12625) all_297_0_2493 = 0 % 218.98/151.06 | (489) mem(all_181_1_101, all_0_5_5) = 0 % 218.98/151.06 | % 218.98/151.06 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_181_1_101, all_0_5_5) = 0, yields: % 218.98/151.06 | (490) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (v0 = 0 & mem(all_181_1_101, all_0_6_6) = 0)) % 218.98/151.06 | % 218.98/151.06 | Instantiating (490) with all_348_0_2545 yields: % 218.98/151.06 | (12903) (all_348_0_2545 = 0 & mem(all_181_1_101, all_0_3_3) = 0) | (all_348_0_2545 = 0 & mem(all_181_1_101, all_0_6_6) = 0) % 218.98/151.06 | % 218.98/151.06 +-Applying beta-rule and splitting (12766), into two cases. % 218.98/151.06 |-Branch one: % 218.98/151.06 | (12789) all_321_0_2521 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.98/151.06 | % 218.98/151.06 | Applying alpha-rule on (12789) yields: % 218.98/151.06 | (12790) all_321_0_2521 = 0 % 218.98/151.06 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.98/151.06 | % 218.98/151.06 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.98/151.06 | (1884) all_110_1_81 = all_0_6_6 % 218.98/151.06 | % 218.98/151.06 | From (1884) and (210) follows: % 218.98/151.06 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.98/151.06 | % 218.98/151.06 +-Applying beta-rule and splitting (12886), into two cases. % 218.98/151.06 |-Branch one: % 218.98/151.06 | (12909) all_329_0_2544 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.98/151.06 | % 218.98/151.06 | Applying alpha-rule on (12909) yields: % 218.98/151.06 | (12910) all_329_0_2544 = 0 % 218.98/151.07 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.98/151.07 | % 218.98/151.07 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.98/151.07 | (7551) all_85_1_73 = e % 218.98/151.07 | % 218.98/151.07 | From (7551) and (184) follows: % 218.98/151.07 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.98/151.07 | % 218.98/151.07 +-Applying beta-rule and splitting (12903), into two cases. % 218.98/151.07 |-Branch one: % 218.98/151.07 | (12914) all_348_0_2545 = 0 & mem(all_181_1_101, all_0_3_3) = 0 % 218.98/151.07 | % 218.98/151.07 | Applying alpha-rule on (12914) yields: % 218.98/151.07 | (12915) all_348_0_2545 = 0 % 218.98/151.07 | (518) mem(all_181_1_101, all_0_3_3) = 0 % 218.98/151.07 | % 218.98/151.07 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_181_1_101 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_181_1_101, all_0_3_3) = 0, yields: % 218.98/151.07 | (519) all_181_1_101 = all_0_6_6 % 218.98/151.07 | % 218.98/151.07 | From (519) and (267) follows: % 218.98/151.07 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.98/151.07 | % 218.98/151.07 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.98/151.07 | (233) all_110_0_80 = 0 % 218.98/151.07 | % 218.98/151.07 | Equations (233) can reduce 209 to: % 218.98/151.07 | (175) $false % 218.98/151.07 | % 218.98/151.07 |-The branch is then unsatisfiable % 218.98/151.07 |-Branch two: % 218.98/151.07 | (12921) all_348_0_2545 = 0 & mem(all_181_1_101, all_0_6_6) = 0 % 218.98/151.07 | % 218.98/151.07 | Applying alpha-rule on (12921) yields: % 218.98/151.07 | (12915) all_348_0_2545 = 0 % 218.98/151.07 | (545) mem(all_181_1_101, all_0_6_6) = 0 % 218.98/151.07 | % 218.98/151.07 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_181_1_101 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_181_1_101, all_0_6_6) = 0, yields: % 218.98/151.07 | (546) ? [v0] : ((v0 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (v0 = 0 & mem(all_181_1_101, e) = 0)) % 218.98/151.07 | % 218.98/151.07 | Instantiating (546) with all_424_0_2552 yields: % 218.98/151.07 | (12925) (all_424_0_2552 = 0 & mem(all_181_1_101, all_66_0_64) = 0) | (all_424_0_2552 = 0 & mem(all_181_1_101, e) = 0) % 218.98/151.07 | % 218.98/151.07 +-Applying beta-rule and splitting (12925), into two cases. % 218.98/151.07 |-Branch one: % 218.98/151.07 | (12926) all_424_0_2552 = 0 & mem(all_181_1_101, all_66_0_64) = 0 % 218.98/151.07 | % 218.98/151.07 | Applying alpha-rule on (12926) yields: % 218.98/151.07 | (12927) all_424_0_2552 = 0 % 218.98/151.07 | (587) mem(all_181_1_101, all_66_0_64) = 0 % 218.98/151.07 | % 218.98/151.07 | Instantiating formula (23) with all_66_0_64, e, all_181_1_101 and discharging atoms s(e) = all_66_0_64, mem(all_181_1_101, all_66_0_64) = 0, yields: % 218.98/151.07 | (588) all_181_1_101 = e % 218.98/151.07 | % 218.98/151.07 | From (588) and (287) follows: % 218.98/151.07 | (7594) mem(e, all_57_1_62) = 0 % 218.98/151.07 | % 218.98/151.07 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.98/151.07 | (212) all_85_0_72 = 0 % 218.98/151.07 | % 218.98/151.07 | Equations (212) can reduce 183 to: % 218.98/151.07 | (175) $false % 218.98/151.07 | % 218.98/151.07 |-The branch is then unsatisfiable % 218.98/151.07 |-Branch two: % 218.98/151.07 | (12933) all_424_0_2552 = 0 & mem(all_181_1_101, e) = 0 % 218.98/151.07 | % 218.98/151.07 | Applying alpha-rule on (12933) yields: % 218.98/151.07 | (12927) all_424_0_2552 = 0 % 218.98/151.07 | (603) mem(all_181_1_101, e) = 0 % 218.98/151.07 | % 218.98/151.07 | Instantiating formula (18) with all_181_1_101 and discharging atoms mem(all_181_1_101, e) = 0, yields: % 218.98/151.07 | (538) $false % 218.98/151.07 | % 218.98/151.07 |-The branch is then unsatisfiable % 218.98/151.07 |-Branch two: % 218.98/151.07 | (12937) all_329_0_2544 = 0 & mem(all_85_1_73, e) = 0 % 218.98/151.07 | % 218.98/151.07 | Applying alpha-rule on (12937) yields: % 218.98/151.07 | (12910) all_329_0_2544 = 0 % 218.98/151.08 | (7603) mem(all_85_1_73, e) = 0 % 218.98/151.08 | % 218.98/151.08 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.98/151.08 | (538) $false % 218.98/151.08 | % 218.98/151.08 |-The branch is then unsatisfiable % 218.98/151.08 |-Branch two: % 218.98/151.08 | (12796) all_321_0_2521 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 218.98/151.08 | % 218.98/151.08 | Applying alpha-rule on (12796) yields: % 218.98/151.08 | (12790) all_321_0_2521 = 0 % 218.98/151.08 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 218.98/151.08 | % 218.98/151.08 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 218.98/151.08 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 218.98/151.08 | % 218.98/151.08 | Instantiating (1911) with all_406_0_2555 yields: % 218.98/151.08 | (12945) (all_406_0_2555 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_406_0_2555 = 0 & mem(all_110_1_81, e) = 0) % 218.98/151.08 | % 218.98/151.08 +-Applying beta-rule and splitting (12886), into two cases. % 218.98/151.08 |-Branch one: % 218.98/151.08 | (12909) all_329_0_2544 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.98/151.08 | % 218.98/151.08 | Applying alpha-rule on (12909) yields: % 218.98/151.08 | (12910) all_329_0_2544 = 0 % 218.98/151.08 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.98/151.08 | % 218.98/151.08 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.98/151.08 | (7551) all_85_1_73 = e % 218.98/151.08 | % 218.98/151.08 | From (7551) and (184) follows: % 218.98/151.08 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.98/151.08 | % 218.98/151.08 +-Applying beta-rule and splitting (12945), into two cases. % 218.98/151.08 |-Branch one: % 218.98/151.08 | (12951) all_406_0_2555 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 218.98/151.08 | % 218.98/151.08 | Applying alpha-rule on (12951) yields: % 218.98/151.08 | (12952) all_406_0_2555 = 0 % 218.98/151.08 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 218.98/151.08 | % 218.98/151.08 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 218.98/151.08 | (1953) all_110_1_81 = e % 218.98/151.08 | % 218.98/151.08 | From (1953) and (211) follows: % 218.98/151.08 | (7594) mem(e, all_57_1_62) = 0 % 218.98/151.08 | % 218.98/151.08 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.98/151.08 | (212) all_85_0_72 = 0 % 218.98/151.08 | % 218.98/151.08 | Equations (212) can reduce 183 to: % 218.98/151.08 | (175) $false % 218.98/151.08 | % 218.98/151.08 |-The branch is then unsatisfiable % 218.98/151.08 |-Branch two: % 218.98/151.08 | (12958) all_406_0_2555 = 0 & mem(all_110_1_81, e) = 0 % 218.98/151.08 | % 218.98/151.08 | Applying alpha-rule on (12958) yields: % 218.98/151.08 | (12952) all_406_0_2555 = 0 % 218.98/151.08 | (1968) mem(all_110_1_81, e) = 0 % 218.98/151.08 | % 218.98/151.08 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 218.98/151.08 | (538) $false % 218.98/151.08 | % 218.98/151.08 |-The branch is then unsatisfiable % 218.98/151.08 |-Branch two: % 218.98/151.08 | (12937) all_329_0_2544 = 0 & mem(all_85_1_73, e) = 0 % 218.98/151.08 | % 218.98/151.08 | Applying alpha-rule on (12937) yields: % 218.98/151.09 | (12910) all_329_0_2544 = 0 % 218.98/151.09 | (7603) mem(all_85_1_73, e) = 0 % 218.98/151.09 | % 218.98/151.09 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 218.98/151.09 | (538) $false % 218.98/151.09 | % 218.98/151.09 |-The branch is then unsatisfiable % 218.98/151.09 |-Branch two: % 218.98/151.09 | (11853) all_289_0_2290 = 0 & mem(all_135_1_87, all_0_5_5) = 0 % 218.98/151.09 | % 218.98/151.09 | Applying alpha-rule on (11853) yields: % 218.98/151.09 | (11847) all_289_0_2290 = 0 % 218.98/151.09 | (607) mem(all_135_1_87, all_0_5_5) = 0 % 218.98/151.09 | % 218.98/151.09 | Instantiating formula (120) with all_0_5_5, all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms u(all_0_6_6, all_0_3_3) = all_0_5_5, mem(all_135_1_87, all_0_5_5) = 0, yields: % 218.98/151.09 | (608) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (v0 = 0 & mem(all_135_1_87, all_0_6_6) = 0)) % 218.98/151.09 | % 218.98/151.09 | Instantiating (608) with all_337_0_2556 yields: % 218.98/151.09 | (12970) (all_337_0_2556 = 0 & mem(all_135_1_87, all_0_3_3) = 0) | (all_337_0_2556 = 0 & mem(all_135_1_87, all_0_6_6) = 0) % 218.98/151.09 | % 218.98/151.09 +-Applying beta-rule and splitting (12766), into two cases. % 218.98/151.09 |-Branch one: % 218.98/151.09 | (12789) all_321_0_2521 = 0 & mem(all_110_1_81, all_0_3_3) = 0 % 218.98/151.09 | % 218.98/151.09 | Applying alpha-rule on (12789) yields: % 218.98/151.09 | (12790) all_321_0_2521 = 0 % 218.98/151.09 | (1883) mem(all_110_1_81, all_0_3_3) = 0 % 218.98/151.09 | % 218.98/151.09 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_110_1_81 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_110_1_81, all_0_3_3) = 0, yields: % 218.98/151.09 | (1884) all_110_1_81 = all_0_6_6 % 218.98/151.09 | % 218.98/151.09 | From (1884) and (210) follows: % 218.98/151.09 | (1885) mem(all_0_6_6, all_74_1_69) = all_110_0_80 % 218.98/151.09 | % 218.98/151.09 +-Applying beta-rule and splitting (12886), into two cases. % 218.98/151.09 |-Branch one: % 218.98/151.09 | (12909) all_329_0_2544 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 218.98/151.09 | % 218.98/151.09 | Applying alpha-rule on (12909) yields: % 218.98/151.09 | (12910) all_329_0_2544 = 0 % 218.98/151.09 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 218.98/151.09 | % 218.98/151.09 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 218.98/151.09 | (7551) all_85_1_73 = e % 218.98/151.09 | % 218.98/151.09 | From (7551) and (184) follows: % 218.98/151.09 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 218.98/151.09 | % 218.98/151.09 +-Applying beta-rule and splitting (12970), into two cases. % 218.98/151.09 |-Branch one: % 218.98/151.09 | (12981) all_337_0_2556 = 0 & mem(all_135_1_87, all_0_3_3) = 0 % 218.98/151.09 | % 218.98/151.09 | Applying alpha-rule on (12981) yields: % 218.98/151.09 | (12982) all_337_0_2556 = 0 % 218.98/151.09 | (641) mem(all_135_1_87, all_0_3_3) = 0 % 218.98/151.09 | % 218.98/151.09 | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_135_1_87 and discharging atoms s(all_0_6_6) = all_0_3_3, mem(all_135_1_87, all_0_3_3) = 0, yields: % 218.98/151.09 | (642) all_135_1_87 = all_0_6_6 % 218.98/151.09 | % 218.98/151.09 | From (642) and (232) follows: % 218.98/151.09 | (1890) mem(all_0_6_6, all_74_1_69) = 0 % 218.98/151.09 | % 218.98/151.09 | Instantiating formula (65) with all_0_6_6, all_74_1_69, 0, all_110_0_80 and discharging atoms mem(all_0_6_6, all_74_1_69) = all_110_0_80, mem(all_0_6_6, all_74_1_69) = 0, yields: % 218.98/151.09 | (233) all_110_0_80 = 0 % 218.98/151.09 | % 218.98/151.09 | Equations (233) can reduce 209 to: % 218.98/151.09 | (175) $false % 218.98/151.09 | % 218.98/151.09 |-The branch is then unsatisfiable % 218.98/151.09 |-Branch two: % 218.98/151.09 | (12988) all_337_0_2556 = 0 & mem(all_135_1_87, all_0_6_6) = 0 % 218.98/151.09 | % 218.98/151.09 | Applying alpha-rule on (12988) yields: % 218.98/151.10 | (12982) all_337_0_2556 = 0 % 218.98/151.10 | (668) mem(all_135_1_87, all_0_6_6) = 0 % 218.98/151.10 | % 218.98/151.10 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_135_1_87 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_135_1_87, all_0_6_6) = 0, yields: % 218.98/151.10 | (669) ? [v0] : ((v0 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (v0 = 0 & mem(all_135_1_87, e) = 0)) % 218.98/151.10 | % 218.98/151.10 | Instantiating (669) with all_424_0_2563 yields: % 218.98/151.10 | (12992) (all_424_0_2563 = 0 & mem(all_135_1_87, all_66_0_64) = 0) | (all_424_0_2563 = 0 & mem(all_135_1_87, e) = 0) % 218.98/151.10 | % 218.98/151.10 +-Applying beta-rule and splitting (12992), into two cases. % 218.98/151.10 |-Branch one: % 218.98/151.10 | (12993) all_424_0_2563 = 0 & mem(all_135_1_87, all_66_0_64) = 0 % 218.98/151.10 | % 218.98/151.10 | Applying alpha-rule on (12993) yields: % 218.98/151.10 | (12994) all_424_0_2563 = 0 % 218.98/151.10 | (710) mem(all_135_1_87, all_66_0_64) = 0 % 218.98/151.10 | % 218.98/151.10 | Instantiating formula (23) with all_66_0_64, e, all_135_1_87 and discharging atoms s(e) = all_66_0_64, mem(all_135_1_87, all_66_0_64) = 0, yields: % 218.98/151.10 | (711) all_135_1_87 = e % 218.98/151.10 | % 218.98/151.10 | From (711) and (241) follows: % 218.98/151.10 | (7594) mem(e, all_57_1_62) = 0 % 218.98/151.10 | % 218.98/151.10 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 218.98/151.10 | (212) all_85_0_72 = 0 % 218.98/151.10 | % 218.98/151.10 | Equations (212) can reduce 183 to: % 218.98/151.10 | (175) $false % 218.98/151.10 | % 218.98/151.10 |-The branch is then unsatisfiable % 218.98/151.10 |-Branch two: % 218.98/151.10 | (13000) all_424_0_2563 = 0 & mem(all_135_1_87, e) = 0 % 218.98/151.10 | % 218.98/151.10 | Applying alpha-rule on (13000) yields: % 218.98/151.10 | (12994) all_424_0_2563 = 0 % 218.98/151.10 | (726) mem(all_135_1_87, e) = 0 % 218.98/151.10 | % 218.98/151.10 | Instantiating formula (18) with all_135_1_87 and discharging atoms mem(all_135_1_87, e) = 0, yields: % 218.98/151.10 | (538) $false % 218.98/151.10 | % 218.98/151.10 |-The branch is then unsatisfiable % 219.04/151.10 |-Branch two: % 219.04/151.10 | (12937) all_329_0_2544 = 0 & mem(all_85_1_73, e) = 0 % 219.04/151.10 | % 219.04/151.10 | Applying alpha-rule on (12937) yields: % 219.04/151.10 | (12910) all_329_0_2544 = 0 % 219.04/151.10 | (7603) mem(all_85_1_73, e) = 0 % 219.04/151.10 | % 219.04/151.10 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 219.04/151.10 | (538) $false % 219.04/151.10 | % 219.04/151.10 |-The branch is then unsatisfiable % 219.04/151.10 |-Branch two: % 219.04/151.10 | (12796) all_321_0_2521 = 0 & mem(all_110_1_81, all_0_6_6) = 0 % 219.04/151.10 | % 219.04/151.10 | Applying alpha-rule on (12796) yields: % 219.04/151.10 | (12790) all_321_0_2521 = 0 % 219.04/151.10 | (1910) mem(all_110_1_81, all_0_6_6) = 0 % 219.04/151.10 | % 219.04/151.10 | Instantiating formula (120) with all_0_6_6, all_66_0_64, e, all_110_1_81 and discharging atoms u(e, all_66_0_64) = all_0_6_6, mem(all_110_1_81, all_0_6_6) = 0, yields: % 219.04/151.10 | (1911) ? [v0] : ((v0 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (v0 = 0 & mem(all_110_1_81, e) = 0)) % 219.04/151.10 | % 219.04/151.10 | Instantiating (1911) with all_406_0_2566 yields: % 219.04/151.10 | (13012) (all_406_0_2566 = 0 & mem(all_110_1_81, all_66_0_64) = 0) | (all_406_0_2566 = 0 & mem(all_110_1_81, e) = 0) % 219.04/151.10 | % 219.04/151.10 +-Applying beta-rule and splitting (12886), into two cases. % 219.04/151.10 |-Branch one: % 219.04/151.10 | (12909) all_329_0_2544 = 0 & mem(all_85_1_73, all_66_0_64) = 0 % 219.04/151.10 | % 219.04/151.11 | Applying alpha-rule on (12909) yields: % 219.04/151.11 | (12910) all_329_0_2544 = 0 % 219.04/151.11 | (7550) mem(all_85_1_73, all_66_0_64) = 0 % 219.04/151.11 | % 219.04/151.11 | Instantiating formula (23) with all_66_0_64, e, all_85_1_73 and discharging atoms s(e) = all_66_0_64, mem(all_85_1_73, all_66_0_64) = 0, yields: % 219.04/151.11 | (7551) all_85_1_73 = e % 219.04/151.11 | % 219.04/151.11 | From (7551) and (184) follows: % 219.04/151.11 | (7552) mem(e, all_57_1_62) = all_85_0_72 % 219.04/151.11 | % 219.04/151.11 +-Applying beta-rule and splitting (13012), into two cases. % 219.04/151.11 |-Branch one: % 219.04/151.11 | (13018) all_406_0_2566 = 0 & mem(all_110_1_81, all_66_0_64) = 0 % 219.04/151.11 | % 219.04/151.11 | Applying alpha-rule on (13018) yields: % 219.04/151.11 | (13019) all_406_0_2566 = 0 % 219.04/151.11 | (1952) mem(all_110_1_81, all_66_0_64) = 0 % 219.04/151.11 | % 219.04/151.11 | Instantiating formula (23) with all_66_0_64, e, all_110_1_81 and discharging atoms s(e) = all_66_0_64, mem(all_110_1_81, all_66_0_64) = 0, yields: % 219.04/151.11 | (1953) all_110_1_81 = e % 219.04/151.11 | % 219.04/151.11 | From (1953) and (211) follows: % 219.04/151.11 | (7594) mem(e, all_57_1_62) = 0 % 219.04/151.11 | % 219.04/151.11 | Instantiating formula (65) with e, all_57_1_62, 0, all_85_0_72 and discharging atoms mem(e, all_57_1_62) = all_85_0_72, mem(e, all_57_1_62) = 0, yields: % 219.04/151.11 | (212) all_85_0_72 = 0 % 219.04/151.11 | % 219.04/151.11 | Equations (212) can reduce 183 to: % 219.04/151.11 | (175) $false % 219.04/151.11 | % 219.04/151.11 |-The branch is then unsatisfiable % 219.04/151.11 |-Branch two: % 219.04/151.11 | (13025) all_406_0_2566 = 0 & mem(all_110_1_81, e) = 0 % 219.04/151.11 | % 219.04/151.11 | Applying alpha-rule on (13025) yields: % 219.04/151.11 | (13019) all_406_0_2566 = 0 % 219.04/151.11 | (1968) mem(all_110_1_81, e) = 0 % 219.04/151.11 | % 219.04/151.11 | Instantiating formula (18) with all_110_1_81 and discharging atoms mem(all_110_1_81, e) = 0, yields: % 219.04/151.11 | (538) $false % 219.04/151.11 | % 219.04/151.11 |-The branch is then unsatisfiable % 219.04/151.11 |-Branch two: % 219.04/151.11 | (12937) all_329_0_2544 = 0 & mem(all_85_1_73, e) = 0 % 219.04/151.11 | % 219.04/151.11 | Applying alpha-rule on (12937) yields: % 219.04/151.11 | (12910) all_329_0_2544 = 0 % 219.04/151.11 | (7603) mem(all_85_1_73, e) = 0 % 219.04/151.11 | % 219.04/151.11 | Instantiating formula (18) with all_85_1_73 and discharging atoms mem(all_85_1_73, e) = 0, yields: % 219.04/151.11 | (538) $false % 219.04/151.11 | % 219.04/151.11 |-The branch is then unsatisfiable % 219.04/151.12 % SZS output end Proof for theBenchmark % 219.04/151.12 % 219.04/151.12 150541ms %------------------------------------------------------------------------------