%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEV546+1 : TPTP v9.1.0. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n028.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 125.25s 70.16s % Output : Proof 133.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SEV546+1 : TPTP v9.1.0. Released v9.1.0. % 0.10/0.11 % Command : ePrincess-casc -timeout=%d %s % 0.10/0.32 % Computer : n028.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Mon Mar 31 11:38:34 EDT 2025 % 0.10/0.32 % CPUTime : % 0.16/0.58 ____ _ % 0.16/0.58 ___ / __ \_____(_)___ ________ __________ % 0.16/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.16/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.16/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.16/0.58 % 0.16/0.58 A Theorem Prover for First-Order Logic % 0.16/0.58 (ePrincess v.1.0) % 0.16/0.58 % 0.16/0.58 (c) Philipp Rümmer, 2009-2015 % 0.16/0.58 (c) Peter Backeman, 2014-2015 % 0.16/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.16/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.16/0.58 Bug reports to peter@backeman.se % 0.16/0.58 % 0.16/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.16/0.58 % 0.16/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.70/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.68/1.01 Prover 0: Preprocessing ... % 2.52/1.37 Prover 0: Warning: ignoring some quantifiers % 2.65/1.41 Prover 0: Constructing countermodel ... % 21.09/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 21.37/6.00 Prover 1: Preprocessing ... % 22.52/6.24 Prover 1: Constructing countermodel ... % 24.76/6.78 Prover 1: gave up % 24.76/6.78 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 25.16/6.83 Prover 2: Preprocessing ... % 25.91/7.02 Prover 2: Warning: ignoring some quantifiers % 25.91/7.03 Prover 2: Constructing countermodel ... % 32.06/8.48 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 32.06/8.53 Prover 3: Preprocessing ... % 32.06/8.56 Prover 3: Warning: ignoring some quantifiers % 32.40/8.57 Prover 3: Constructing countermodel ... % 96.18/51.47 Prover 3: stopped % 96.40/51.67 Prover 0: stopped % 96.40/51.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 96.61/51.71 Prover 4: Preprocessing ... % 97.20/51.84 Prover 4: Warning: ignoring some quantifiers % 97.20/51.85 Prover 4: Constructing countermodel ... % 98.40/52.33 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 98.40/52.36 Prover 5: Preprocessing ... % 98.93/52.46 Prover 5: Constructing countermodel ... % 113.60/62.34 Prover 5: stopped % 113.82/62.54 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 113.82/62.57 Prover 6: Preprocessing ... % 114.13/62.65 Prover 6: Warning: ignoring some quantifiers % 114.13/62.65 Prover 6: Constructing countermodel ... % 125.25/70.16 Prover 6: proved (7622ms) % 125.25/70.16 Prover 2: stopped % 125.25/70.16 Prover 4: stopped % 125.25/70.16 % 125.25/70.16 No countermodel exists, formula is valid % 125.25/70.16 % SZS status Theorem for theBenchmark % 125.25/70.16 % 125.25/70.16 Generating proof ... Warning: ignoring some quantifiers % 131.53/73.13 found it (size 2685) % 131.53/73.13 % 131.53/73.13 % SZS output start Proof for theBenchmark % 131.53/73.13 Assumed formulas after preprocessing and simplification: % 131.53/73.13 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (atleast6p(v5) = 0 & n(v3) = v4 & n(v1) = v2 & n(v0) = v1 & n(e) = v0 & a(v2, v4) = v5 & s(v0) = v3 & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (m(v7, v8) = v9) | ~ (mem(v6, v9) = v10) | ? [v11] : ((v11 = 0 & mem(v6, v8) = 0) | ( ~ (v11 = 0) & mem(v6, v7) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (u(v7, v8) = v9) | ~ (mem(v6, v9) = v10) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & ~ (v11 = 0) & mem(v6, v8) = v12 & mem(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast16p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast15p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast15p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast14p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast14p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast13p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast13p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast12p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast12p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast11p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast11p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast10p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast10p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast9p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast9p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast8p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast8p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast7p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast7p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast6p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast6p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast5p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast5p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast4p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast4p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast3p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v7 = 0 | ~ (atleast3p(v6) = v7) | ~ (subq(v6, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & atleast2p(v8) = v10) | ( ~ (v10 = 0) & subq(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (p(v7) = v8) | ~ (mem(v6, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & subq(v6, v7) = v10)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (subq(v6, v7) = 0) | ~ (mem(v8, v7) = v9) | ? [v10] : ( ~ (v10 = 0) & mem(v8, v6) = v10)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (a(v9, v8) = v7) | ~ (a(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (m(v9, v8) = v7) | ~ (m(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (u(v9, v8) = v7) | ~ (u(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (disj(v9, v8) = v7) | ~ (disj(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (subq(v9, v8) = v7) | ~ (subq(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (mem(v9, v8) = v7) | ~ (mem(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = 0 | ~ (atleast2p(v6) = v7) | ~ (p(v8) = v9) | ? [v10] : ((v10 = 0 & subq(v6, v9) = 0) | ( ~ (v10 = 0) & mem(v8, v6) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (m(v7, v8) = v9) | ~ (mem(v6, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & mem(v6, v8) = v10 & mem(v6, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (u(v7, v8) = v9) | ~ (mem(v6, v9) = 0) | ? [v10] : ((v10 = 0 & mem(v6, v8) = 0) | (v10 = 0 & mem(v6, v7) = 0))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (u(v6, v8) = v9) | ~ (s(v7) = v8) | a(v6, v7) = v9) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (s(v6) = v7) | ~ (mem(v6, v7) = v8)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (disj(v6, v7) = v8) | ? [v9] : (mem(v9, v7) = 0 & mem(v9, v6) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (subq(v6, v7) = v8) | ? [v9] : ? [v10] : ( ~ (v10 = 0) & p(v7) = v9 & mem(v6, v9) = v10)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (subq(v6, v7) = v8) | ? [v9] : ? [v10] : ( ~ (v10 = 0) & mem(v9, v7) = v10 & mem(v9, v6) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast16p(v8) = v7) | ~ (atleast16p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast15p(v8) = v7) | ~ (atleast15p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast14p(v8) = v7) | ~ (atleast14p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast13p(v8) = v7) | ~ (atleast13p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast12p(v8) = v7) | ~ (atleast12p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast11p(v8) = v7) | ~ (atleast11p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast10p(v8) = v7) | ~ (atleast10p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast9p(v8) = v7) | ~ (atleast9p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast8p(v8) = v7) | ~ (atleast8p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast7p(v8) = v7) | ~ (atleast7p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast6p(v8) = v7) | ~ (atleast6p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast5p(v8) = v7) | ~ (atleast5p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast4p(v8) = v7) | ~ (atleast4p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast3p(v8) = v7) | ~ (atleast3p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (atleast2p(v8) = v7) | ~ (atleast2p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (p(v8) = v7) | ~ (p(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (n(v8) = v7) | ~ (n(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (s(v8) = v7) | ~ (s(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (s(v7) = v8) | ~ (mem(v6, v8) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast16p(v6) = v7) | ~ (atleast15p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast16p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast15p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast15p(v6) = v7) | ~ (atleast14p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast15p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast14p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast14p(v6) = v7) | ~ (atleast13p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast14p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast13p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast13p(v6) = v7) | ~ (atleast12p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast13p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast12p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast12p(v6) = v7) | ~ (atleast11p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast12p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast11p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast11p(v6) = v7) | ~ (atleast10p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast11p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast10p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast10p(v6) = v7) | ~ (atleast9p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast10p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast9p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast9p(v6) = v7) | ~ (atleast8p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast9p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast8p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast8p(v6) = v7) | ~ (atleast7p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast8p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast7p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast7p(v6) = v7) | ~ (atleast6p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast7p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast6p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast6p(v6) = v7) | ~ (atleast5p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast6p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast5p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast5p(v6) = v7) | ~ (atleast4p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast5p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast4p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast4p(v6) = v7) | ~ (atleast3p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast4p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast3p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast3p(v6) = v7) | ~ (atleast2p(v8) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & subq(v8, v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast3p(v6) = v7) | ~ (subq(v8, v6) = 0) | ? [v9] : ((v9 = 0 & subq(v6, v8) = 0) | ( ~ (v9 = 0) & atleast2p(v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (atleast2p(v6) = v7) | ~ (mem(v8, v6) = 0) | ? [v9] : (p(v8) = v9 & subq(v6, v9) = 0)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (p(v7) = v8) | ~ (mem(v6, v8) = 0) | subq(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : ( ~ (a(v6, v7) = v8) | ? [v9] : (u(v6, v9) = v8 & s(v7) = v9)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (disj(v6, v7) = 0) | ~ (mem(v8, v7) = 0) | ? [v9] : ( ~ (v9 = 0) & mem(v8, v6) = v9)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (disj(v6, v7) = 0) | ~ (mem(v8, v6) = 0) | ? [v9] : ( ~ (v9 = 0) & mem(v8, v7) = v9)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (subq(v6, v7) = 0) | ~ (mem(v8, v6) = 0) | mem(v8, v7) = 0) & ! [v6] : ! [v7] : (v7 = v6 | ~ (subq(v7, v6) = 0) | ? [v8] : ( ~ (v8 = 0) & subq(v6, v7) = v8)) & ! [v6] : ! [v7] : (v7 = v6 | ~ (subq(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & subq(v7, v6) = v8)) & ! [v6] : ! [v7] : ( ~ (n(v6) = v7) | a(v6, v6) = v7) & ! [v6] : ! [v7] : ( ~ (a(v6, v6) = v7) | n(v6) = v7) & ! [v6] : ! [v7] : ( ~ (subq(v6, v7) = 0) | ? [v8] : (p(v7) = v8 & mem(v6, v8) = 0)) & ! [v6] : ( ~ (atleast16p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast15p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast15p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast14p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast14p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast13p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast13p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast12p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast12p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast11p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast11p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast10p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast10p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast9p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast9p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast8p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast8p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast7p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast7p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast6p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast6p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast5p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast5p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast4p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast4p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast3p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast3p(v6) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & atleast2p(v7) = 0 & subq(v7, v6) = 0 & subq(v6, v7) = v8)) & ! [v6] : ( ~ (atleast2p(v6) = 0) | ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & p(v7) = v8 & subq(v6, v8) = v9 & mem(v7, v6) = 0)) & ! [v6] : ~ (mem(v6, e) = 0) & ? [v6] : ? [v7] : ? [v8] : a(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : m(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : u(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : disj(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : subq(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : mem(v7, v6) = v8 & ? [v6] : ? [v7] : atleast16p(v6) = v7 & ? [v6] : ? [v7] : atleast15p(v6) = v7 & ? [v6] : ? [v7] : atleast14p(v6) = v7 & ? [v6] : ? [v7] : atleast13p(v6) = v7 & ? [v6] : ? [v7] : atleast12p(v6) = v7 & ? [v6] : ? [v7] : atleast11p(v6) = v7 & ? [v6] : ? [v7] : atleast10p(v6) = v7 & ? [v6] : ? [v7] : atleast9p(v6) = v7 & ? [v6] : ? [v7] : atleast8p(v6) = v7 & ? [v6] : ? [v7] : atleast7p(v6) = v7 & ? [v6] : ? [v7] : atleast6p(v6) = v7 & ? [v6] : ? [v7] : atleast5p(v6) = v7 & ? [v6] : ? [v7] : atleast4p(v6) = v7 & ? [v6] : ? [v7] : atleast3p(v6) = v7 & ? [v6] : ? [v7] : atleast2p(v6) = v7 & ? [v6] : ? [v7] : p(v6) = v7 & ? [v6] : ? [v7] : n(v6) = v7 & ? [v6] : ? [v7] : s(v6) = v7) % 131.85/73.19 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields: % 131.85/73.19 | (1) atleast6p(all_0_0_0) = 0 & n(all_0_2_2) = all_0_1_1 & n(all_0_4_4) = all_0_3_3 & n(all_0_5_5) = all_0_4_4 & n(e) = all_0_5_5 & a(all_0_3_3, all_0_1_1) = all_0_0_0 & s(all_0_5_5) = all_0_2_2 & ! [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 % 131.88/73.23 | % 131.88/73.23 | Applying alpha-rule on (1) yields: % 131.88/73.23 | (2) ? [v0] : ? [v1] : atleast9p(v0) = v1 % 131.88/73.23 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (u(v3, v2) = v1) | ~ (u(v3, v2) = v0)) % 131.88/73.23 | (4) ? [v0] : ? [v1] : ? [v2] : u(v1, v0) = v2 % 131.88/73.23 | (5) ! [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))) % 131.88/73.23 | (6) a(all_0_3_3, all_0_1_1) = all_0_0_0 % 131.88/73.23 | (7) ! [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))) % 131.88/73.23 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (a(v0, v1) = v2) | ? [v3] : (u(v0, v3) = v2 & s(v1) = v3)) % 131.88/73.23 | (9) ! [v0] : ( ~ (atleast16p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast15p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.23 | (10) ? [v0] : ? [v1] : atleast2p(v0) = v1 % 131.88/73.23 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast7p(v2) = v1) | ~ (atleast7p(v2) = v0)) % 131.88/73.23 | (12) n(all_0_4_4) = all_0_3_3 % 131.88/73.23 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast9p(v2) = v1) | ~ (atleast9p(v2) = v0)) % 131.88/73.23 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (atleast14p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.23 | (15) ! [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))) % 131.88/73.23 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast16p(v2) = v1) | ~ (atleast16p(v2) = v0)) % 131.88/73.23 | (17) ? [v0] : ? [v1] : s(v0) = v1 % 131.88/73.23 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (atleast13p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.23 | (19) n(e) = all_0_5_5 % 131.88/73.23 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a(v3, v2) = v1) | ~ (a(v3, v2) = v0)) % 131.88/73.23 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (s(v0) = v1) | ~ (mem(v0, v1) = v2)) % 131.88/73.23 | (22) ! [v0] : ( ~ (atleast4p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast3p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.23 | (23) ? [v0] : ? [v1] : atleast14p(v0) = v1 % 131.88/73.23 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast2p(v2) = v3))) % 131.88/73.23 | (25) ! [v0] : ! [v1] : ( ~ (subq(v0, v1) = 0) | ? [v2] : (p(v1) = v2 & mem(v0, v2) = 0)) % 131.88/73.23 | (26) ! [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))) % 131.88/73.23 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disj(v3, v2) = v1) | ~ (disj(v3, v2) = v0)) % 131.88/73.23 | (28) n(all_0_5_5) = all_0_4_4 % 131.88/73.23 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast2p(v0) = v1) | ~ (mem(v2, v0) = 0) | ? [v3] : (p(v2) = v3 & subq(v0, v3) = 0)) % 131.88/73.23 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast4p(v2) = v3))) % 131.88/73.23 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (mem(v3, v2) = v1) | ~ (mem(v3, v2) = v0)) % 131.88/73.23 | (32) ! [v0] : ( ~ (atleast7p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast6p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.23 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m(v1, v2) = v3) | ~ (mem(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & mem(v0, v2) = v4 & mem(v0, v1) = 0)) % 131.88/73.24 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast4p(v2) = v1) | ~ (atleast4p(v2) = v0)) % 131.88/73.24 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast5p(v2) = v1) | ~ (atleast5p(v2) = v0)) % 131.88/73.24 | (36) ? [v0] : ? [v1] : p(v0) = v1 % 131.88/73.24 | (37) ! [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))) % 131.88/73.24 | (38) ? [v0] : ? [v1] : atleast16p(v0) = v1 % 131.88/73.24 | (39) ! [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))) % 131.88/73.24 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast5p(v2) = v3))) % 131.88/73.24 | (41) atleast6p(all_0_0_0) = 0 % 131.88/73.24 | (42) ? [v0] : ? [v1] : atleast5p(v0) = v1 % 131.88/73.24 | (43) ! [v0] : ! [v1] : (v1 = v0 | ~ (subq(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & subq(v1, v0) = v2)) % 131.88/73.24 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (atleast10p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.24 | (45) ! [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)) % 131.88/73.24 | (46) ! [v0] : ! [v1] : (v1 = v0 | ~ (subq(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & subq(v0, v1) = v2)) % 131.88/73.24 | (47) ! [v0] : ! [v1] : ( ~ (a(v0, v0) = v1) | n(v0) = v1) % 131.88/73.24 | (48) ! [v0] : ! [v1] : ( ~ (n(v0) = v1) | a(v0, v0) = v1) % 131.88/73.24 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast12p(v2) = v1) | ~ (atleast12p(v2) = v0)) % 131.88/73.24 | (50) ? [v0] : ? [v1] : ? [v2] : mem(v1, v0) = v2 % 131.88/73.24 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m(v3, v2) = v1) | ~ (m(v3, v2) = v0)) % 131.88/73.24 | (52) ? [v0] : ? [v1] : atleast6p(v0) = v1 % 131.88/73.24 | (53) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast3p(v2) = v3))) % 131.88/73.24 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (atleast5p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.24 | (55) s(all_0_5_5) = all_0_2_2 % 131.88/73.24 | (56) ? [v0] : ? [v1] : ? [v2] : disj(v1, v0) = v2 % 131.88/73.24 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast10p(v2) = v1) | ~ (atleast10p(v2) = v0)) % 131.88/73.24 | (58) ! [v0] : ~ (mem(v0, e) = 0) % 131.88/73.24 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast7p(v2) = v3))) % 131.88/73.24 | (60) ? [v0] : ? [v1] : atleast10p(v0) = v1 % 131.88/73.24 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (atleast3p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.24 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (p(v1) = v2) | ~ (mem(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subq(v0, v1) = v4)) % 131.88/73.24 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (atleast12p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.24 | (64) ! [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))) % 131.88/73.24 | (65) ! [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))) % 131.88/73.24 | (66) ! [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))) % 131.88/73.24 | (67) ! [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))) % 131.88/73.24 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast2p(v2) = v1) | ~ (atleast2p(v2) = v0)) % 131.88/73.25 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (atleast9p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.25 | (70) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (atleast4p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.25 | (71) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast12p(v2) = v3))) % 131.88/73.25 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast10p(v2) = v3))) % 131.88/73.25 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast14p(v2) = v3))) % 131.88/73.25 | (74) ? [v0] : ? [v1] : atleast12p(v0) = v1 % 131.88/73.25 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast15p(v2) = v1) | ~ (atleast15p(v2) = v0)) % 131.88/73.25 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subq(v0, v1) = 0) | ~ (mem(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & mem(v2, v0) = v4)) % 131.88/73.25 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (atleast8p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.25 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0)) % 131.88/73.25 | (79) ? [v0] : ? [v1] : atleast13p(v0) = v1 % 131.88/73.25 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (disj(v0, v1) = 0) | ~ (mem(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & mem(v2, v0) = v3)) % 131.88/73.25 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast11p(v2) = v3))) % 131.88/73.25 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast13p(v2) = v1) | ~ (atleast13p(v2) = v0)) % 131.88/73.25 | (83) ! [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))) % 131.88/73.25 | (84) ? [v0] : ? [v1] : atleast11p(v0) = v1 % 131.88/73.25 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (n(v2) = v1) | ~ (n(v2) = v0)) % 131.88/73.25 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast8p(v2) = v1) | ~ (atleast8p(v2) = v0)) % 131.88/73.25 | (87) ! [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))) % 131.88/73.25 | (88) ! [v0] : ( ~ (atleast8p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast7p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.25 | (89) ! [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))) % 131.88/73.25 | (90) ! [v0] : ( ~ (atleast14p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast13p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.25 | (91) ! [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))) % 131.88/73.25 | (92) ! [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))) % 131.88/73.25 | (93) ? [v0] : ? [v1] : atleast7p(v0) = v1 % 131.88/73.25 | (94) ! [v0] : ! [v1] : ! [v2] : ( ~ (subq(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | mem(v2, v1) = 0) % 131.88/73.25 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (atleast6p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.25 | (96) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast3p(v2) = v1) | ~ (atleast3p(v2) = v0)) % 131.88/73.25 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (atleast11p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.25 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (disj(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | ? [v3] : ( ~ (v3 = 0) & mem(v2, v1) = v3)) % 131.88/73.26 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subq(v3, v2) = v1) | ~ (subq(v3, v2) = v0)) % 131.88/73.26 | (100) ! [v0] : ( ~ (atleast5p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast4p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (101) ! [v0] : ( ~ (atleast2p(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & p(v1) = v2 & subq(v0, v2) = v3 & mem(v1, v0) = 0)) % 131.88/73.26 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0)) % 131.88/73.26 | (103) ? [v0] : ? [v1] : n(v0) = v1 % 131.88/73.26 | (104) ? [v0] : ? [v1] : ? [v2] : subq(v1, v0) = v2 % 131.88/73.26 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (atleast15p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.26 | (106) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast14p(v2) = v1) | ~ (atleast14p(v2) = v0)) % 131.88/73.26 | (107) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disj(v0, v1) = v2) | ? [v3] : (mem(v3, v1) = 0 & mem(v3, v0) = 0)) % 131.88/73.26 | (108) ? [v0] : ? [v1] : atleast15p(v0) = v1 % 131.88/73.26 | (109) ! [v0] : ( ~ (atleast10p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast9p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast6p(v2) = v1) | ~ (atleast6p(v2) = v0)) % 131.88/73.26 | (111) ? [v0] : ? [v1] : ? [v2] : m(v1, v0) = v2 % 131.88/73.26 | (112) ? [v0] : ? [v1] : atleast3p(v0) = v1 % 131.88/73.26 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v1) = v2) | ~ (mem(v0, v2) = 0)) % 131.88/73.26 | (114) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (atleast2p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.26 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast8p(v2) = v3))) % 131.88/73.26 | (116) ! [v0] : ( ~ (atleast11p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast10p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (117) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & p(v1) = v3 & mem(v0, v3) = v4)) % 131.88/73.26 | (118) ? [v0] : ? [v1] : atleast4p(v0) = v1 % 131.88/73.26 | (119) ! [v0] : ( ~ (atleast3p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast2p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (120) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast15p(v2) = v3))) % 131.88/73.26 | (121) ? [v0] : ? [v1] : ? [v2] : a(v1, v0) = v2 % 131.88/73.26 | (122) ! [v0] : ( ~ (atleast6p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast5p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (123) ! [v0] : ( ~ (atleast12p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast11p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (124) ! [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))) % 131.88/73.26 | (125) ! [v0] : ( ~ (atleast13p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast12p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u(v0, v2) = v3) | ~ (s(v1) = v2) | a(v0, v1) = v3) % 131.88/73.26 | (127) ? [v0] : ? [v1] : atleast8p(v0) = v1 % 131.88/73.26 | (128) n(all_0_2_2) = all_0_1_1 % 131.88/73.26 | (129) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast11p(v2) = v1) | ~ (atleast11p(v2) = v0)) % 131.88/73.26 | (130) ! [v0] : ( ~ (atleast15p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast14p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (131) ! [v0] : ! [v1] : ! [v2] : ( ~ (p(v1) = v2) | ~ (mem(v0, v2) = 0) | subq(v0, v1) = 0) % 131.88/73.26 | (132) ! [v0] : ( ~ (atleast9p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast8p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 131.88/73.26 | (133) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast6p(v2) = v3))) % 131.88/73.27 | (134) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast9p(v2) = v3))) % 131.88/73.27 | (135) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast13p(v2) = v3))) % 131.88/73.27 | (136) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (atleast7p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 131.88/73.27 | (137) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & mem(v3, v1) = v4 & mem(v3, v0) = 0)) % 131.88/73.27 | (138) ! [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))) % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (122) with all_0_0_0 and discharging atoms atleast6p(all_0_0_0) = 0, yields: % 131.88/73.27 | (139) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast5p(v0) = 0 & subq(v0, all_0_0_0) = 0 & subq(all_0_0_0, v0) = v1) % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (48) with all_0_3_3, all_0_4_4 and discharging atoms n(all_0_4_4) = all_0_3_3, yields: % 131.88/73.27 | (140) a(all_0_4_4, all_0_4_4) = all_0_3_3 % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (48) with all_0_4_4, all_0_5_5 and discharging atoms n(all_0_5_5) = all_0_4_4, yields: % 131.88/73.27 | (141) a(all_0_5_5, all_0_5_5) = all_0_4_4 % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (48) with all_0_5_5, e and discharging atoms n(e) = all_0_5_5, yields: % 131.88/73.27 | (142) a(e, e) = all_0_5_5 % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (8) with all_0_0_0, all_0_1_1, all_0_3_3 and discharging atoms a(all_0_3_3, all_0_1_1) = all_0_0_0, yields: % 131.88/73.27 | (143) ? [v0] : (u(all_0_3_3, v0) = all_0_0_0 & s(all_0_1_1) = v0) % 131.88/73.27 | % 131.88/73.27 | Instantiating (143) with all_57_0_60 yields: % 131.88/73.27 | (144) u(all_0_3_3, all_57_0_60) = all_0_0_0 & s(all_0_1_1) = all_57_0_60 % 131.88/73.27 | % 131.88/73.27 | Applying alpha-rule on (144) yields: % 131.88/73.27 | (145) u(all_0_3_3, all_57_0_60) = all_0_0_0 % 131.88/73.27 | (146) s(all_0_1_1) = all_57_0_60 % 131.88/73.27 | % 131.88/73.27 | Instantiating (139) with all_59_0_61, all_59_1_62 yields: % 131.88/73.27 | (147) ~ (all_59_0_61 = 0) & atleast5p(all_59_1_62) = 0 & subq(all_59_1_62, all_0_0_0) = 0 & subq(all_0_0_0, all_59_1_62) = all_59_0_61 % 131.88/73.27 | % 131.88/73.27 | Applying alpha-rule on (147) yields: % 131.88/73.27 | (148) ~ (all_59_0_61 = 0) % 131.88/73.27 | (149) atleast5p(all_59_1_62) = 0 % 131.88/73.27 | (150) subq(all_59_1_62, all_0_0_0) = 0 % 131.88/73.27 | (151) subq(all_0_0_0, all_59_1_62) = all_59_0_61 % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (100) with all_59_1_62 and discharging atoms atleast5p(all_59_1_62) = 0, yields: % 131.88/73.27 | (152) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast4p(v0) = 0 & subq(v0, all_59_1_62) = 0 & subq(all_59_1_62, v0) = v1) % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (8) with all_0_3_3, all_0_4_4, all_0_4_4 and discharging atoms a(all_0_4_4, all_0_4_4) = all_0_3_3, yields: % 131.88/73.27 | (153) ? [v0] : (u(all_0_4_4, v0) = all_0_3_3 & s(all_0_4_4) = v0) % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (8) 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: % 131.88/73.27 | (154) ? [v0] : (u(all_0_5_5, v0) = all_0_4_4 & s(all_0_5_5) = v0) % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (8) with all_0_5_5, e, e and discharging atoms a(e, e) = all_0_5_5, yields: % 131.88/73.27 | (155) ? [v0] : (u(e, v0) = all_0_5_5 & s(e) = v0) % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (117) with all_59_0_61, all_59_1_62, all_0_0_0 and discharging atoms subq(all_0_0_0, all_59_1_62) = all_59_0_61, yields: % 131.88/73.27 | (156) all_59_0_61 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_59_1_62) = v0 & mem(all_0_0_0, v0) = v1) % 131.88/73.27 | % 131.88/73.27 | Instantiating formula (137) with all_59_0_61, all_59_1_62, all_0_0_0 and discharging atoms subq(all_0_0_0, all_59_1_62) = all_59_0_61, yields: % 131.88/73.27 | (157) all_59_0_61 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_59_1_62) = v1 & mem(v0, all_0_0_0) = 0) % 131.88/73.27 | % 131.88/73.27 | Instantiating (155) with all_68_0_64 yields: % 131.88/73.27 | (158) u(e, all_68_0_64) = all_0_5_5 & s(e) = all_68_0_64 % 131.88/73.27 | % 131.88/73.27 | Applying alpha-rule on (158) yields: % 131.88/73.27 | (159) u(e, all_68_0_64) = all_0_5_5 % 131.88/73.27 | (160) s(e) = all_68_0_64 % 131.88/73.27 | % 131.88/73.27 | Instantiating (154) with all_70_0_65 yields: % 131.88/73.27 | (161) u(all_0_5_5, all_70_0_65) = all_0_4_4 & s(all_0_5_5) = all_70_0_65 % 131.88/73.27 | % 131.88/73.27 | Applying alpha-rule on (161) yields: % 131.88/73.27 | (162) u(all_0_5_5, all_70_0_65) = all_0_4_4 % 131.88/73.27 | (163) s(all_0_5_5) = all_70_0_65 % 131.88/73.27 | % 131.88/73.27 | Instantiating (153) with all_72_0_66 yields: % 131.88/73.27 | (164) u(all_0_4_4, all_72_0_66) = all_0_3_3 & s(all_0_4_4) = all_72_0_66 % 131.88/73.27 | % 131.88/73.27 | Applying alpha-rule on (164) yields: % 131.88/73.27 | (165) u(all_0_4_4, all_72_0_66) = all_0_3_3 % 131.88/73.27 | (166) s(all_0_4_4) = all_72_0_66 % 131.88/73.27 | % 131.88/73.27 | Instantiating (152) with all_76_0_68, all_76_1_69 yields: % 131.88/73.27 | (167) ~ (all_76_0_68 = 0) & atleast4p(all_76_1_69) = 0 & subq(all_76_1_69, all_59_1_62) = 0 & subq(all_59_1_62, all_76_1_69) = all_76_0_68 % 131.88/73.27 | % 131.88/73.27 | Applying alpha-rule on (167) yields: % 131.88/73.27 | (168) ~ (all_76_0_68 = 0) % 131.88/73.27 | (169) atleast4p(all_76_1_69) = 0 % 131.88/73.27 | (170) subq(all_76_1_69, all_59_1_62) = 0 % 131.88/73.27 | (171) subq(all_59_1_62, all_76_1_69) = all_76_0_68 % 131.88/73.27 | % 131.88/73.27 +-Applying beta-rule and splitting (156), into two cases. % 131.88/73.27 |-Branch one: % 131.88/73.27 | (172) all_59_0_61 = 0 % 131.88/73.27 | % 131.88/73.27 | Equations (172) can reduce 148 to: % 131.88/73.27 | (173) $false % 131.88/73.27 | % 131.88/73.28 |-The branch is then unsatisfiable % 131.88/73.28 |-Branch two: % 131.88/73.28 | (148) ~ (all_59_0_61 = 0) % 131.88/73.28 | (175) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_59_1_62) = v0 & mem(all_0_0_0, v0) = v1) % 131.88/73.28 | % 131.88/73.28 +-Applying beta-rule and splitting (157), into two cases. % 131.88/73.28 |-Branch one: % 131.88/73.28 | (172) all_59_0_61 = 0 % 131.88/73.28 | % 131.88/73.28 | Equations (172) can reduce 148 to: % 131.88/73.28 | (173) $false % 131.88/73.28 | % 131.88/73.28 |-The branch is then unsatisfiable % 131.88/73.28 |-Branch two: % 131.88/73.28 | (148) ~ (all_59_0_61 = 0) % 131.88/73.28 | (179) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_59_1_62) = v1 & mem(v0, all_0_0_0) = 0) % 131.88/73.28 | % 131.88/73.28 | Instantiating (179) with all_87_0_72, all_87_1_73 yields: % 131.88/73.28 | (180) ~ (all_87_0_72 = 0) & mem(all_87_1_73, all_59_1_62) = all_87_0_72 & mem(all_87_1_73, all_0_0_0) = 0 % 131.88/73.28 | % 131.88/73.28 | Applying alpha-rule on (180) yields: % 131.88/73.28 | (181) ~ (all_87_0_72 = 0) % 131.88/73.28 | (182) mem(all_87_1_73, all_59_1_62) = all_87_0_72 % 131.88/73.28 | (183) mem(all_87_1_73, all_0_0_0) = 0 % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (102) with all_0_5_5, all_70_0_65, all_0_2_2 and discharging atoms s(all_0_5_5) = all_70_0_65, s(all_0_5_5) = all_0_2_2, yields: % 131.88/73.28 | (184) all_70_0_65 = all_0_2_2 % 131.88/73.28 | % 131.88/73.28 | From (184) and (162) follows: % 131.88/73.28 | (185) u(all_0_5_5, all_0_2_2) = all_0_4_4 % 131.88/73.28 | % 131.88/73.28 | From (184) and (163) follows: % 131.88/73.28 | (55) s(all_0_5_5) = all_0_2_2 % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (22) with all_76_1_69 and discharging atoms atleast4p(all_76_1_69) = 0, yields: % 131.88/73.28 | (187) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast3p(v0) = 0 & subq(v0, all_76_1_69) = 0 & subq(all_76_1_69, v0) = v1) % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (117) with all_76_0_68, all_76_1_69, all_59_1_62 and discharging atoms subq(all_59_1_62, all_76_1_69) = all_76_0_68, yields: % 131.88/73.28 | (188) all_76_0_68 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_76_1_69) = v0 & mem(all_59_1_62, v0) = v1) % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (137) with all_76_0_68, all_76_1_69, all_59_1_62 and discharging atoms subq(all_59_1_62, all_76_1_69) = all_76_0_68, yields: % 131.88/73.28 | (189) all_76_0_68 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_76_1_69) = v1 & mem(v0, all_59_1_62) = 0) % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (76) with all_87_0_72, all_87_1_73, all_59_1_62, all_76_1_69 and discharging atoms subq(all_76_1_69, all_59_1_62) = 0, mem(all_87_1_73, all_59_1_62) = all_87_0_72, yields: % 131.88/73.28 | (190) all_87_0_72 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_87_1_73, all_76_1_69) = v0) % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (5) with all_0_0_0, all_57_0_60, all_0_3_3, all_87_1_73 and discharging atoms u(all_0_3_3, all_57_0_60) = all_0_0_0, mem(all_87_1_73, all_0_0_0) = 0, yields: % 131.88/73.28 | (191) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_57_0_60) = 0) | (v0 = 0 & mem(all_87_1_73, all_0_3_3) = 0)) % 131.88/73.28 | % 131.88/73.28 | Instantiating (191) with all_98_0_74 yields: % 131.88/73.28 | (192) (all_98_0_74 = 0 & mem(all_87_1_73, all_57_0_60) = 0) | (all_98_0_74 = 0 & mem(all_87_1_73, all_0_3_3) = 0) % 131.88/73.28 | % 131.88/73.28 | Instantiating (187) with all_101_0_76, all_101_1_77 yields: % 131.88/73.28 | (193) ~ (all_101_0_76 = 0) & atleast3p(all_101_1_77) = 0 & subq(all_101_1_77, all_76_1_69) = 0 & subq(all_76_1_69, all_101_1_77) = all_101_0_76 % 131.88/73.28 | % 131.88/73.28 | Applying alpha-rule on (193) yields: % 131.88/73.28 | (194) ~ (all_101_0_76 = 0) % 131.88/73.28 | (195) atleast3p(all_101_1_77) = 0 % 131.88/73.28 | (196) subq(all_101_1_77, all_76_1_69) = 0 % 131.88/73.28 | (197) subq(all_76_1_69, all_101_1_77) = all_101_0_76 % 131.88/73.28 | % 131.88/73.28 +-Applying beta-rule and splitting (188), into two cases. % 131.88/73.28 |-Branch one: % 131.88/73.28 | (198) all_76_0_68 = 0 % 131.88/73.28 | % 131.88/73.28 | Equations (198) can reduce 168 to: % 131.88/73.28 | (173) $false % 131.88/73.28 | % 131.88/73.28 |-The branch is then unsatisfiable % 131.88/73.28 |-Branch two: % 131.88/73.28 | (168) ~ (all_76_0_68 = 0) % 131.88/73.28 | (201) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_76_1_69) = v0 & mem(all_59_1_62, v0) = v1) % 131.88/73.28 | % 131.88/73.28 +-Applying beta-rule and splitting (189), into two cases. % 131.88/73.28 |-Branch one: % 131.88/73.28 | (198) all_76_0_68 = 0 % 131.88/73.28 | % 131.88/73.28 | Equations (198) can reduce 168 to: % 131.88/73.28 | (173) $false % 131.88/73.28 | % 131.88/73.28 |-The branch is then unsatisfiable % 131.88/73.28 |-Branch two: % 131.88/73.28 | (168) ~ (all_76_0_68 = 0) % 131.88/73.28 | (205) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_76_1_69) = v1 & mem(v0, all_59_1_62) = 0) % 131.88/73.28 | % 131.88/73.28 | Instantiating (205) with all_112_0_80, all_112_1_81 yields: % 131.88/73.28 | (206) ~ (all_112_0_80 = 0) & mem(all_112_1_81, all_76_1_69) = all_112_0_80 & mem(all_112_1_81, all_59_1_62) = 0 % 131.88/73.28 | % 131.88/73.28 | Applying alpha-rule on (206) yields: % 131.88/73.28 | (207) ~ (all_112_0_80 = 0) % 131.88/73.28 | (208) mem(all_112_1_81, all_76_1_69) = all_112_0_80 % 131.88/73.28 | (209) mem(all_112_1_81, all_59_1_62) = 0 % 131.88/73.28 | % 131.88/73.28 +-Applying beta-rule and splitting (190), into two cases. % 131.88/73.28 |-Branch one: % 131.88/73.28 | (210) all_87_0_72 = 0 % 131.88/73.28 | % 131.88/73.28 | Equations (210) can reduce 181 to: % 131.88/73.28 | (173) $false % 131.88/73.28 | % 131.88/73.28 |-The branch is then unsatisfiable % 131.88/73.28 |-Branch two: % 131.88/73.28 | (181) ~ (all_87_0_72 = 0) % 131.88/73.28 | (213) ? [v0] : ( ~ (v0 = 0) & mem(all_87_1_73, all_76_1_69) = v0) % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (119) with all_101_1_77 and discharging atoms atleast3p(all_101_1_77) = 0, yields: % 131.88/73.28 | (214) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast2p(v0) = 0 & subq(v0, all_101_1_77) = 0 & subq(all_101_1_77, v0) = v1) % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (137) with all_101_0_76, all_101_1_77, all_76_1_69 and discharging atoms subq(all_76_1_69, all_101_1_77) = all_101_0_76, yields: % 131.88/73.28 | (215) all_101_0_76 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_101_1_77) = v1 & mem(v0, all_76_1_69) = 0) % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (76) with all_112_0_80, all_112_1_81, all_76_1_69, all_101_1_77 and discharging atoms subq(all_101_1_77, all_76_1_69) = 0, mem(all_112_1_81, all_76_1_69) = all_112_0_80, yields: % 131.88/73.28 | (216) all_112_0_80 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_112_1_81, all_101_1_77) = v0) % 131.88/73.28 | % 131.88/73.28 | Instantiating formula (94) with all_112_1_81, all_0_0_0, all_59_1_62 and discharging atoms subq(all_59_1_62, all_0_0_0) = 0, mem(all_112_1_81, all_59_1_62) = 0, yields: % 131.88/73.28 | (217) mem(all_112_1_81, all_0_0_0) = 0 % 131.88/73.28 | % 131.88/73.28 | Instantiating (214) with all_131_0_84, all_131_1_85 yields: % 131.88/73.28 | (218) ~ (all_131_0_84 = 0) & atleast2p(all_131_1_85) = 0 & subq(all_131_1_85, all_101_1_77) = 0 & subq(all_101_1_77, all_131_1_85) = all_131_0_84 % 131.88/73.28 | % 131.88/73.28 | Applying alpha-rule on (218) yields: % 131.88/73.28 | (219) ~ (all_131_0_84 = 0) % 131.88/73.29 | (220) atleast2p(all_131_1_85) = 0 % 131.88/73.29 | (221) subq(all_131_1_85, all_101_1_77) = 0 % 131.88/73.29 | (222) subq(all_101_1_77, all_131_1_85) = all_131_0_84 % 131.88/73.29 | % 131.88/73.29 +-Applying beta-rule and splitting (215), into two cases. % 131.88/73.29 |-Branch one: % 131.88/73.29 | (223) all_101_0_76 = 0 % 131.88/73.29 | % 131.88/73.29 | Equations (223) can reduce 194 to: % 131.88/73.29 | (173) $false % 131.88/73.29 | % 131.88/73.29 |-The branch is then unsatisfiable % 131.88/73.29 |-Branch two: % 131.88/73.29 | (194) ~ (all_101_0_76 = 0) % 131.88/73.29 | (226) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_101_1_77) = v1 & mem(v0, all_76_1_69) = 0) % 131.88/73.29 | % 131.88/73.29 | Instantiating (226) with all_137_0_86, all_137_1_87 yields: % 131.88/73.29 | (227) ~ (all_137_0_86 = 0) & mem(all_137_1_87, all_101_1_77) = all_137_0_86 & mem(all_137_1_87, all_76_1_69) = 0 % 131.88/73.29 | % 131.88/73.29 | Applying alpha-rule on (227) yields: % 131.88/73.29 | (228) ~ (all_137_0_86 = 0) % 131.88/73.29 | (229) mem(all_137_1_87, all_101_1_77) = all_137_0_86 % 131.88/73.29 | (230) mem(all_137_1_87, all_76_1_69) = 0 % 131.88/73.29 | % 131.88/73.29 +-Applying beta-rule and splitting (216), into two cases. % 131.88/73.29 |-Branch one: % 131.88/73.29 | (231) all_112_0_80 = 0 % 131.88/73.29 | % 131.88/73.29 | Equations (231) can reduce 207 to: % 131.88/73.29 | (173) $false % 131.88/73.29 | % 131.88/73.29 |-The branch is then unsatisfiable % 131.88/73.29 |-Branch two: % 131.88/73.29 | (207) ~ (all_112_0_80 = 0) % 131.88/73.29 | (234) ? [v0] : ( ~ (v0 = 0) & mem(all_112_1_81, all_101_1_77) = v0) % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (101) with all_131_1_85 and discharging atoms atleast2p(all_131_1_85) = 0, yields: % 131.88/73.29 | (235) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v0) = v1 & subq(all_131_1_85, v1) = v2 & mem(v0, all_131_1_85) = 0) % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (117) with all_131_0_84, all_131_1_85, all_101_1_77 and discharging atoms subq(all_101_1_77, all_131_1_85) = all_131_0_84, yields: % 131.88/73.29 | (236) all_131_0_84 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_131_1_85) = v0 & mem(all_101_1_77, v0) = v1) % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (137) with all_131_0_84, all_131_1_85, all_101_1_77 and discharging atoms subq(all_101_1_77, all_131_1_85) = all_131_0_84, yields: % 131.88/73.29 | (237) all_131_0_84 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_131_1_85) = v1 & mem(v0, all_101_1_77) = 0) % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (76) with all_137_0_86, all_137_1_87, all_101_1_77, all_131_1_85 and discharging atoms subq(all_131_1_85, all_101_1_77) = 0, mem(all_137_1_87, all_101_1_77) = all_137_0_86, yields: % 131.88/73.29 | (238) all_137_0_86 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_137_1_87, all_131_1_85) = v0) % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (94) with all_137_1_87, all_59_1_62, all_76_1_69 and discharging atoms subq(all_76_1_69, all_59_1_62) = 0, mem(all_137_1_87, all_76_1_69) = 0, yields: % 131.88/73.29 | (239) mem(all_137_1_87, all_59_1_62) = 0 % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (5) with all_0_0_0, all_57_0_60, all_0_3_3, all_112_1_81 and discharging atoms u(all_0_3_3, all_57_0_60) = all_0_0_0, mem(all_112_1_81, all_0_0_0) = 0, yields: % 131.88/73.29 | (240) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_57_0_60) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_3_3) = 0)) % 131.88/73.29 | % 131.88/73.29 | Instantiating (240) with all_164_0_92 yields: % 131.88/73.29 | (241) (all_164_0_92 = 0 & mem(all_112_1_81, all_57_0_60) = 0) | (all_164_0_92 = 0 & mem(all_112_1_81, all_0_3_3) = 0) % 131.88/73.29 | % 131.88/73.29 | Instantiating (235) with all_167_0_94, all_167_1_95, all_167_2_96 yields: % 131.88/73.29 | (242) ~ (all_167_0_94 = 0) & p(all_167_2_96) = all_167_1_95 & subq(all_131_1_85, all_167_1_95) = all_167_0_94 & mem(all_167_2_96, all_131_1_85) = 0 % 131.88/73.29 | % 131.88/73.29 | Applying alpha-rule on (242) yields: % 131.88/73.29 | (243) ~ (all_167_0_94 = 0) % 131.88/73.29 | (244) p(all_167_2_96) = all_167_1_95 % 131.88/73.29 | (245) subq(all_131_1_85, all_167_1_95) = all_167_0_94 % 131.88/73.29 | (246) mem(all_167_2_96, all_131_1_85) = 0 % 131.88/73.29 | % 131.88/73.29 +-Applying beta-rule and splitting (236), into two cases. % 131.88/73.29 |-Branch one: % 131.88/73.29 | (247) all_131_0_84 = 0 % 131.88/73.29 | % 131.88/73.29 | Equations (247) can reduce 219 to: % 131.88/73.29 | (173) $false % 131.88/73.29 | % 131.88/73.29 |-The branch is then unsatisfiable % 131.88/73.29 |-Branch two: % 131.88/73.29 | (219) ~ (all_131_0_84 = 0) % 131.88/73.29 | (250) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_131_1_85) = v0 & mem(all_101_1_77, v0) = v1) % 131.88/73.29 | % 131.88/73.29 +-Applying beta-rule and splitting (237), into two cases. % 131.88/73.29 |-Branch one: % 131.88/73.29 | (247) all_131_0_84 = 0 % 131.88/73.29 | % 131.88/73.29 | Equations (247) can reduce 219 to: % 131.88/73.29 | (173) $false % 131.88/73.29 | % 131.88/73.29 |-The branch is then unsatisfiable % 131.88/73.29 |-Branch two: % 131.88/73.29 | (219) ~ (all_131_0_84 = 0) % 131.88/73.29 | (254) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_131_1_85) = v1 & mem(v0, all_101_1_77) = 0) % 131.88/73.29 | % 131.88/73.29 | Instantiating (254) with all_183_0_100, all_183_1_101 yields: % 131.88/73.29 | (255) ~ (all_183_0_100 = 0) & mem(all_183_1_101, all_131_1_85) = all_183_0_100 & mem(all_183_1_101, all_101_1_77) = 0 % 131.88/73.29 | % 131.88/73.29 | Applying alpha-rule on (255) yields: % 131.88/73.29 | (256) ~ (all_183_0_100 = 0) % 131.88/73.29 | (257) mem(all_183_1_101, all_131_1_85) = all_183_0_100 % 131.88/73.29 | (258) mem(all_183_1_101, all_101_1_77) = 0 % 131.88/73.29 | % 131.88/73.29 +-Applying beta-rule and splitting (238), into two cases. % 131.88/73.29 |-Branch one: % 131.88/73.29 | (259) all_137_0_86 = 0 % 131.88/73.29 | % 131.88/73.29 | Equations (259) can reduce 228 to: % 131.88/73.29 | (173) $false % 131.88/73.29 | % 131.88/73.29 |-The branch is then unsatisfiable % 131.88/73.29 |-Branch two: % 131.88/73.29 | (228) ~ (all_137_0_86 = 0) % 131.88/73.29 | (262) ? [v0] : ( ~ (v0 = 0) & mem(all_137_1_87, all_131_1_85) = v0) % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (94) with all_183_1_101, all_76_1_69, all_101_1_77 and discharging atoms subq(all_101_1_77, all_76_1_69) = 0, mem(all_183_1_101, all_101_1_77) = 0, yields: % 131.88/73.29 | (263) mem(all_183_1_101, all_76_1_69) = 0 % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (94) with all_167_2_96, all_101_1_77, all_131_1_85 and discharging atoms subq(all_131_1_85, all_101_1_77) = 0, mem(all_167_2_96, all_131_1_85) = 0, yields: % 131.88/73.29 | (264) mem(all_167_2_96, all_101_1_77) = 0 % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (94) with all_137_1_87, all_0_0_0, all_59_1_62 and discharging atoms subq(all_59_1_62, all_0_0_0) = 0, mem(all_137_1_87, all_59_1_62) = 0, yields: % 131.88/73.29 | (265) mem(all_137_1_87, all_0_0_0) = 0 % 131.88/73.29 | % 131.88/73.29 +-Applying beta-rule and splitting (192), into two cases. % 131.88/73.29 |-Branch one: % 131.88/73.29 | (266) all_98_0_74 = 0 & mem(all_87_1_73, all_57_0_60) = 0 % 131.88/73.29 | % 131.88/73.29 | Applying alpha-rule on (266) yields: % 131.88/73.29 | (267) all_98_0_74 = 0 % 131.88/73.29 | (268) mem(all_87_1_73, all_57_0_60) = 0 % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_87_1_73 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_87_1_73, all_57_0_60) = 0, yields: % 131.88/73.29 | (269) all_87_1_73 = all_0_1_1 % 131.88/73.29 | % 131.88/73.29 | From (269) and (182) follows: % 131.88/73.29 | (270) mem(all_0_1_1, all_59_1_62) = all_87_0_72 % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (94) with all_183_1_101, all_59_1_62, all_76_1_69 and discharging atoms subq(all_76_1_69, all_59_1_62) = 0, mem(all_183_1_101, all_76_1_69) = 0, yields: % 131.88/73.29 | (271) mem(all_183_1_101, all_59_1_62) = 0 % 131.88/73.29 | % 131.88/73.29 | Instantiating formula (94) with all_167_2_96, all_76_1_69, all_101_1_77 and discharging atoms subq(all_101_1_77, all_76_1_69) = 0, mem(all_167_2_96, all_101_1_77) = 0, yields: % 131.88/73.30 | (272) mem(all_167_2_96, all_76_1_69) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (5) with all_0_0_0, all_57_0_60, all_0_3_3, all_137_1_87 and discharging atoms u(all_0_3_3, all_57_0_60) = all_0_0_0, mem(all_137_1_87, all_0_0_0) = 0, yields: % 131.88/73.30 | (273) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_57_0_60) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_3_3) = 0)) % 131.88/73.30 | % 131.88/73.30 | Instantiating (273) with all_232_0_108 yields: % 131.88/73.30 | (274) (all_232_0_108 = 0 & mem(all_137_1_87, all_57_0_60) = 0) | (all_232_0_108 = 0 & mem(all_137_1_87, all_0_3_3) = 0) % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (94) with all_183_1_101, all_0_0_0, all_59_1_62 and discharging atoms subq(all_59_1_62, all_0_0_0) = 0, mem(all_183_1_101, all_59_1_62) = 0, yields: % 131.88/73.30 | (275) mem(all_183_1_101, all_0_0_0) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (94) with all_167_2_96, all_59_1_62, all_76_1_69 and discharging atoms subq(all_76_1_69, all_59_1_62) = 0, mem(all_167_2_96, all_76_1_69) = 0, yields: % 131.88/73.30 | (276) mem(all_167_2_96, all_59_1_62) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (5) with all_0_0_0, all_57_0_60, all_0_3_3, all_183_1_101 and discharging atoms u(all_0_3_3, all_57_0_60) = all_0_0_0, mem(all_183_1_101, all_0_0_0) = 0, yields: % 131.88/73.30 | (277) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_57_0_60) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_3_3) = 0)) % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (94) with all_167_2_96, all_0_0_0, all_59_1_62 and discharging atoms subq(all_59_1_62, all_0_0_0) = 0, mem(all_167_2_96, all_59_1_62) = 0, yields: % 131.88/73.30 | (278) mem(all_167_2_96, all_0_0_0) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating (277) with all_257_0_112 yields: % 131.88/73.30 | (279) (all_257_0_112 = 0 & mem(all_183_1_101, all_57_0_60) = 0) | (all_257_0_112 = 0 & mem(all_183_1_101, all_0_3_3) = 0) % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (5) with all_0_0_0, all_57_0_60, all_0_3_3, all_167_2_96 and discharging atoms u(all_0_3_3, all_57_0_60) = all_0_0_0, mem(all_167_2_96, all_0_0_0) = 0, yields: % 131.88/73.30 | (280) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_57_0_60) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_3_3) = 0)) % 131.88/73.30 | % 131.88/73.30 | Instantiating (280) with all_264_0_113 yields: % 131.88/73.30 | (281) (all_264_0_113 = 0 & mem(all_167_2_96, all_57_0_60) = 0) | (all_264_0_113 = 0 & mem(all_167_2_96, all_0_3_3) = 0) % 131.88/73.30 | % 131.88/73.30 +-Applying beta-rule and splitting (241), into two cases. % 131.88/73.30 |-Branch one: % 131.88/73.30 | (282) all_164_0_92 = 0 & mem(all_112_1_81, all_57_0_60) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (282) yields: % 131.88/73.30 | (283) all_164_0_92 = 0 % 131.88/73.30 | (284) mem(all_112_1_81, all_57_0_60) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_112_1_81 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_112_1_81, all_57_0_60) = 0, yields: % 131.88/73.30 | (285) all_112_1_81 = all_0_1_1 % 131.88/73.30 | % 131.88/73.30 | From (285) and (209) follows: % 131.88/73.30 | (286) mem(all_0_1_1, all_59_1_62) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (31) with all_0_1_1, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_1_1, all_59_1_62) = all_87_0_72, mem(all_0_1_1, all_59_1_62) = 0, yields: % 131.88/73.30 | (210) all_87_0_72 = 0 % 131.88/73.30 | % 131.88/73.30 | Equations (210) can reduce 181 to: % 131.88/73.30 | (173) $false % 131.88/73.30 | % 131.88/73.30 |-The branch is then unsatisfiable % 131.88/73.30 |-Branch two: % 131.88/73.30 | (289) all_164_0_92 = 0 & mem(all_112_1_81, all_0_3_3) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (289) yields: % 131.88/73.30 | (283) all_164_0_92 = 0 % 131.88/73.30 | (291) mem(all_112_1_81, all_0_3_3) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_112_1_81, all_0_3_3) = 0, yields: % 131.88/73.30 | (292) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_72_0_66) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_4_4) = 0)) % 131.88/73.30 | % 131.88/73.30 | Instantiating (292) with all_278_0_115 yields: % 131.88/73.30 | (293) (all_278_0_115 = 0 & mem(all_112_1_81, all_72_0_66) = 0) | (all_278_0_115 = 0 & mem(all_112_1_81, all_0_4_4) = 0) % 131.88/73.30 | % 131.88/73.30 +-Applying beta-rule and splitting (274), into two cases. % 131.88/73.30 |-Branch one: % 131.88/73.30 | (294) all_232_0_108 = 0 & mem(all_137_1_87, all_57_0_60) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (294) yields: % 131.88/73.30 | (295) all_232_0_108 = 0 % 131.88/73.30 | (296) mem(all_137_1_87, all_57_0_60) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_137_1_87 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_137_1_87, all_57_0_60) = 0, yields: % 131.88/73.30 | (297) all_137_1_87 = all_0_1_1 % 131.88/73.30 | % 131.88/73.30 | From (297) and (239) follows: % 131.88/73.30 | (286) mem(all_0_1_1, all_59_1_62) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (31) with all_0_1_1, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_1_1, all_59_1_62) = all_87_0_72, mem(all_0_1_1, all_59_1_62) = 0, yields: % 131.88/73.30 | (210) all_87_0_72 = 0 % 131.88/73.30 | % 131.88/73.30 | Equations (210) can reduce 181 to: % 131.88/73.30 | (173) $false % 131.88/73.30 | % 131.88/73.30 |-The branch is then unsatisfiable % 131.88/73.30 |-Branch two: % 131.88/73.30 | (301) all_232_0_108 = 0 & mem(all_137_1_87, all_0_3_3) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (301) yields: % 131.88/73.30 | (295) all_232_0_108 = 0 % 131.88/73.30 | (303) mem(all_137_1_87, all_0_3_3) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_137_1_87, all_0_3_3) = 0, yields: % 131.88/73.30 | (304) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_4_4) = 0)) % 131.88/73.30 | % 131.88/73.30 | Instantiating (304) with all_286_0_116 yields: % 131.88/73.30 | (305) (all_286_0_116 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (all_286_0_116 = 0 & mem(all_137_1_87, all_0_4_4) = 0) % 131.88/73.30 | % 131.88/73.30 +-Applying beta-rule and splitting (279), into two cases. % 131.88/73.30 |-Branch one: % 131.88/73.30 | (306) all_257_0_112 = 0 & mem(all_183_1_101, all_57_0_60) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (306) yields: % 131.88/73.30 | (307) all_257_0_112 = 0 % 131.88/73.30 | (308) mem(all_183_1_101, all_57_0_60) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_183_1_101 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_183_1_101, all_57_0_60) = 0, yields: % 131.88/73.30 | (309) all_183_1_101 = all_0_1_1 % 131.88/73.30 | % 131.88/73.30 | From (309) and (271) follows: % 131.88/73.30 | (286) mem(all_0_1_1, all_59_1_62) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (31) with all_0_1_1, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_1_1, all_59_1_62) = all_87_0_72, mem(all_0_1_1, all_59_1_62) = 0, yields: % 131.88/73.30 | (210) all_87_0_72 = 0 % 131.88/73.30 | % 131.88/73.30 | Equations (210) can reduce 181 to: % 131.88/73.30 | (173) $false % 131.88/73.30 | % 131.88/73.30 |-The branch is then unsatisfiable % 131.88/73.30 |-Branch two: % 131.88/73.30 | (313) all_257_0_112 = 0 & mem(all_183_1_101, all_0_3_3) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (313) yields: % 131.88/73.30 | (307) all_257_0_112 = 0 % 131.88/73.30 | (315) mem(all_183_1_101, all_0_3_3) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_183_1_101, all_0_3_3) = 0, yields: % 131.88/73.30 | (316) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_4_4) = 0)) % 131.88/73.30 | % 131.88/73.30 | Instantiating (316) with all_294_0_117 yields: % 131.88/73.30 | (317) (all_294_0_117 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (all_294_0_117 = 0 & mem(all_183_1_101, all_0_4_4) = 0) % 131.88/73.30 | % 131.88/73.30 +-Applying beta-rule and splitting (281), into two cases. % 131.88/73.30 |-Branch one: % 131.88/73.30 | (318) all_264_0_113 = 0 & mem(all_167_2_96, all_57_0_60) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (318) yields: % 131.88/73.30 | (319) all_264_0_113 = 0 % 131.88/73.30 | (320) mem(all_167_2_96, all_57_0_60) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_167_2_96 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_167_2_96, all_57_0_60) = 0, yields: % 131.88/73.30 | (321) all_167_2_96 = all_0_1_1 % 131.88/73.30 | % 131.88/73.30 | From (321) and (276) follows: % 131.88/73.30 | (286) mem(all_0_1_1, all_59_1_62) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (31) with all_0_1_1, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_1_1, all_59_1_62) = all_87_0_72, mem(all_0_1_1, all_59_1_62) = 0, yields: % 131.88/73.30 | (210) all_87_0_72 = 0 % 131.88/73.30 | % 131.88/73.30 | Equations (210) can reduce 181 to: % 131.88/73.30 | (173) $false % 131.88/73.30 | % 131.88/73.30 |-The branch is then unsatisfiable % 131.88/73.30 |-Branch two: % 131.88/73.30 | (325) all_264_0_113 = 0 & mem(all_167_2_96, all_0_3_3) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (325) yields: % 131.88/73.30 | (319) all_264_0_113 = 0 % 131.88/73.30 | (327) mem(all_167_2_96, all_0_3_3) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_167_2_96, all_0_3_3) = 0, yields: % 131.88/73.30 | (328) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_4_4) = 0)) % 131.88/73.30 | % 131.88/73.30 | Instantiating (328) with all_302_0_118 yields: % 131.88/73.30 | (329) (all_302_0_118 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (all_302_0_118 = 0 & mem(all_167_2_96, all_0_4_4) = 0) % 131.88/73.30 | % 131.88/73.30 +-Applying beta-rule and splitting (293), into two cases. % 131.88/73.30 |-Branch one: % 131.88/73.30 | (330) all_278_0_115 = 0 & mem(all_112_1_81, all_72_0_66) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (330) yields: % 131.88/73.30 | (331) all_278_0_115 = 0 % 131.88/73.30 | (332) mem(all_112_1_81, all_72_0_66) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_112_1_81, all_72_0_66) = 0, yields: % 131.88/73.30 | (333) all_112_1_81 = all_0_4_4 % 131.88/73.30 | % 131.88/73.30 | From (333) and (208) follows: % 131.88/73.30 | (334) mem(all_0_4_4, all_76_1_69) = all_112_0_80 % 131.88/73.30 | % 131.88/73.30 +-Applying beta-rule and splitting (305), into two cases. % 131.88/73.30 |-Branch one: % 131.88/73.30 | (335) all_286_0_116 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 131.88/73.30 | % 131.88/73.30 | Applying alpha-rule on (335) yields: % 131.88/73.30 | (336) all_286_0_116 = 0 % 131.88/73.30 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 131.88/73.30 | (338) all_137_1_87 = all_0_4_4 % 131.88/73.30 | % 131.88/73.30 | From (338) and (230) follows: % 131.88/73.30 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 131.88/73.30 | % 131.88/73.30 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 131.88/73.31 | (231) all_112_0_80 = 0 % 131.88/73.31 | % 131.88/73.31 | Equations (231) can reduce 207 to: % 131.88/73.31 | (173) $false % 131.88/73.31 | % 131.88/73.31 |-The branch is then unsatisfiable % 131.88/73.31 |-Branch two: % 131.88/73.31 | (342) all_286_0_116 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (342) yields: % 131.88/73.31 | (336) all_286_0_116 = 0 % 131.88/73.31 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 131.88/73.31 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 131.88/73.31 | % 131.88/73.31 | Instantiating (345) with all_329_0_120 yields: % 131.88/73.31 | (346) (all_329_0_120 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_329_0_120 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 131.88/73.31 | % 131.88/73.31 +-Applying beta-rule and splitting (317), into two cases. % 131.88/73.31 |-Branch one: % 131.88/73.31 | (347) all_294_0_117 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (347) yields: % 131.88/73.31 | (348) all_294_0_117 = 0 % 131.88/73.31 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 131.88/73.31 | (350) all_183_1_101 = all_0_4_4 % 131.88/73.31 | % 131.88/73.31 | From (350) and (263) follows: % 131.88/73.31 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 131.88/73.31 | (231) all_112_0_80 = 0 % 131.88/73.31 | % 131.88/73.31 | Equations (231) can reduce 207 to: % 131.88/73.31 | (173) $false % 131.88/73.31 | % 131.88/73.31 |-The branch is then unsatisfiable % 131.88/73.31 |-Branch two: % 131.88/73.31 | (354) all_294_0_117 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (354) yields: % 131.88/73.31 | (348) all_294_0_117 = 0 % 131.88/73.31 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 131.88/73.31 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 131.88/73.31 | % 131.88/73.31 | Instantiating (357) with all_337_0_121 yields: % 131.88/73.31 | (358) (all_337_0_121 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_337_0_121 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 131.88/73.31 | % 131.88/73.31 +-Applying beta-rule and splitting (329), into two cases. % 131.88/73.31 |-Branch one: % 131.88/73.31 | (359) all_302_0_118 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (359) yields: % 131.88/73.31 | (360) all_302_0_118 = 0 % 131.88/73.31 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 131.88/73.31 | (362) all_167_2_96 = all_0_4_4 % 131.88/73.31 | % 131.88/73.31 | From (362) and (272) follows: % 131.88/73.31 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 131.88/73.31 | (231) all_112_0_80 = 0 % 131.88/73.31 | % 131.88/73.31 | Equations (231) can reduce 207 to: % 131.88/73.31 | (173) $false % 131.88/73.31 | % 131.88/73.31 |-The branch is then unsatisfiable % 131.88/73.31 |-Branch two: % 131.88/73.31 | (366) all_302_0_118 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (366) yields: % 131.88/73.31 | (360) all_302_0_118 = 0 % 131.88/73.31 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 131.88/73.31 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 131.88/73.31 | % 131.88/73.31 | Instantiating (369) with all_345_0_122 yields: % 131.88/73.31 | (370) (all_345_0_122 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_345_0_122 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 131.88/73.31 | % 131.88/73.31 +-Applying beta-rule and splitting (346), into two cases. % 131.88/73.31 |-Branch one: % 131.88/73.31 | (371) all_329_0_120 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (371) yields: % 131.88/73.31 | (372) all_329_0_120 = 0 % 131.88/73.31 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 131.88/73.31 | (374) all_137_1_87 = all_0_5_5 % 131.88/73.31 | % 131.88/73.31 | From (374) and (229) follows: % 131.88/73.31 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 131.88/73.31 | % 131.88/73.31 +-Applying beta-rule and splitting (358), into two cases. % 131.88/73.31 |-Branch one: % 131.88/73.31 | (376) all_337_0_121 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (376) yields: % 131.88/73.31 | (377) all_337_0_121 = 0 % 131.88/73.31 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 131.88/73.31 | (379) all_183_1_101 = all_0_5_5 % 131.88/73.31 | % 131.88/73.31 | From (379) and (258) follows: % 131.88/73.31 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 131.88/73.31 | (259) all_137_0_86 = 0 % 131.88/73.31 | % 131.88/73.31 | Equations (259) can reduce 228 to: % 131.88/73.31 | (173) $false % 131.88/73.31 | % 131.88/73.31 |-The branch is then unsatisfiable % 131.88/73.31 |-Branch two: % 131.88/73.31 | (383) all_337_0_121 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (383) yields: % 131.88/73.31 | (377) all_337_0_121 = 0 % 131.88/73.31 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 131.88/73.31 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 131.88/73.31 | % 131.88/73.31 | Instantiating (386) with all_372_0_124 yields: % 131.88/73.31 | (387) (all_372_0_124 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_372_0_124 = 0 & mem(all_183_1_101, e) = 0) % 131.88/73.31 | % 131.88/73.31 +-Applying beta-rule and splitting (370), into two cases. % 131.88/73.31 |-Branch one: % 131.88/73.31 | (388) all_345_0_122 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (388) yields: % 131.88/73.31 | (389) all_345_0_122 = 0 % 131.88/73.31 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 131.88/73.31 | (391) all_167_2_96 = all_0_5_5 % 131.88/73.31 | % 131.88/73.31 | From (391) and (264) follows: % 131.88/73.31 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 131.88/73.31 | (259) all_137_0_86 = 0 % 131.88/73.31 | % 131.88/73.31 | Equations (259) can reduce 228 to: % 131.88/73.31 | (173) $false % 131.88/73.31 | % 131.88/73.31 |-The branch is then unsatisfiable % 131.88/73.31 |-Branch two: % 131.88/73.31 | (395) all_345_0_122 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (395) yields: % 131.88/73.31 | (389) all_345_0_122 = 0 % 131.88/73.31 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 131.88/73.31 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 131.88/73.31 | % 131.88/73.31 | Instantiating (398) with all_380_0_125 yields: % 131.88/73.31 | (399) (all_380_0_125 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_125 = 0 & mem(all_167_2_96, e) = 0) % 131.88/73.31 | % 131.88/73.31 +-Applying beta-rule and splitting (387), into two cases. % 131.88/73.31 |-Branch one: % 131.88/73.31 | (400) all_372_0_124 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (400) yields: % 131.88/73.31 | (401) all_372_0_124 = 0 % 131.88/73.31 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 131.88/73.31 | (403) all_183_1_101 = e % 131.88/73.31 | % 131.88/73.31 | From (403) and (257) follows: % 131.88/73.31 | (404) mem(e, all_131_1_85) = all_183_0_100 % 131.88/73.31 | % 131.88/73.31 +-Applying beta-rule and splitting (399), into two cases. % 131.88/73.31 |-Branch one: % 131.88/73.31 | (405) all_380_0_125 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (405) yields: % 131.88/73.31 | (406) all_380_0_125 = 0 % 131.88/73.31 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 131.88/73.31 | (408) all_167_2_96 = e % 131.88/73.31 | % 131.88/73.31 | From (408) and (246) follows: % 131.88/73.31 | (409) mem(e, all_131_1_85) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (31) with e, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(e, all_131_1_85) = all_183_0_100, mem(e, all_131_1_85) = 0, yields: % 131.88/73.31 | (410) all_183_0_100 = 0 % 131.88/73.31 | % 131.88/73.31 | Equations (410) can reduce 256 to: % 131.88/73.31 | (173) $false % 131.88/73.31 | % 131.88/73.31 |-The branch is then unsatisfiable % 131.88/73.31 |-Branch two: % 131.88/73.31 | (412) all_380_0_125 = 0 & mem(all_167_2_96, e) = 0 % 131.88/73.31 | % 131.88/73.31 | Applying alpha-rule on (412) yields: % 131.88/73.31 | (406) all_380_0_125 = 0 % 131.88/73.31 | (414) mem(all_167_2_96, e) = 0 % 131.88/73.31 | % 131.88/73.31 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 131.88/73.31 | (415) $false % 131.88/73.31 | % 131.88/73.32 |-The branch is then unsatisfiable % 131.88/73.32 |-Branch two: % 131.88/73.32 | (416) all_372_0_124 = 0 & mem(all_183_1_101, e) = 0 % 131.88/73.32 | % 131.88/73.32 | Applying alpha-rule on (416) yields: % 131.88/73.32 | (401) all_372_0_124 = 0 % 131.88/73.32 | (418) mem(all_183_1_101, e) = 0 % 131.88/73.32 | % 131.88/73.32 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 131.88/73.32 | (415) $false % 131.88/73.32 | % 131.88/73.32 |-The branch is then unsatisfiable % 131.88/73.32 |-Branch two: % 131.88/73.32 | (420) all_329_0_120 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 131.88/73.32 | % 131.88/73.32 | Applying alpha-rule on (420) yields: % 131.88/73.32 | (372) all_329_0_120 = 0 % 131.88/73.32 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 131.88/73.32 | % 131.88/73.32 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 131.88/73.32 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 131.88/73.32 | % 131.88/73.32 | Instantiating (423) with all_361_0_127 yields: % 131.88/73.32 | (424) (all_361_0_127 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_361_0_127 = 0 & mem(all_137_1_87, e) = 0) % 131.88/73.32 | % 131.88/73.32 +-Applying beta-rule and splitting (358), into two cases. % 131.88/73.32 |-Branch one: % 131.88/73.32 | (376) all_337_0_121 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 131.88/73.32 | % 131.88/73.32 | Applying alpha-rule on (376) yields: % 131.88/73.32 | (377) all_337_0_121 = 0 % 131.88/73.32 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 131.88/73.32 | % 131.88/73.32 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 131.88/73.32 | (379) all_183_1_101 = all_0_5_5 % 131.88/73.32 | % 131.88/73.32 | From (379) and (257) follows: % 132.45/73.32 | (429) mem(all_0_5_5, all_131_1_85) = all_183_0_100 % 132.45/73.32 | % 132.45/73.32 +-Applying beta-rule and splitting (370), into two cases. % 132.45/73.32 |-Branch one: % 132.45/73.32 | (388) all_345_0_122 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (388) yields: % 132.45/73.32 | (389) all_345_0_122 = 0 % 132.45/73.32 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.32 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.32 | % 132.45/73.32 | From (391) and (246) follows: % 132.45/73.32 | (434) mem(all_0_5_5, all_131_1_85) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (31) with all_0_5_5, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_5_5, all_131_1_85) = all_183_0_100, mem(all_0_5_5, all_131_1_85) = 0, yields: % 132.45/73.32 | (410) all_183_0_100 = 0 % 132.45/73.32 | % 132.45/73.32 | Equations (410) can reduce 256 to: % 132.45/73.32 | (173) $false % 132.45/73.32 | % 132.45/73.32 |-The branch is then unsatisfiable % 132.45/73.32 |-Branch two: % 132.45/73.32 | (395) all_345_0_122 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (395) yields: % 132.45/73.32 | (389) all_345_0_122 = 0 % 132.45/73.32 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.32 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.32 | % 132.45/73.32 | Instantiating (398) with all_380_0_128 yields: % 132.45/73.32 | (441) (all_380_0_128 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_128 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.32 | % 132.45/73.32 +-Applying beta-rule and splitting (424), into two cases. % 132.45/73.32 |-Branch one: % 132.45/73.32 | (442) all_361_0_127 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (442) yields: % 132.45/73.32 | (443) all_361_0_127 = 0 % 132.45/73.32 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.32 | (445) all_137_1_87 = e % 132.45/73.32 | % 132.45/73.32 | From (445) and (229) follows: % 132.45/73.32 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.45/73.32 | % 132.45/73.32 +-Applying beta-rule and splitting (441), into two cases. % 132.45/73.32 |-Branch one: % 132.45/73.32 | (447) all_380_0_128 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (447) yields: % 132.45/73.32 | (448) all_380_0_128 = 0 % 132.45/73.32 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.32 | (408) all_167_2_96 = e % 132.45/73.32 | % 132.45/73.32 | From (408) and (264) follows: % 132.45/73.32 | (451) mem(e, all_101_1_77) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.45/73.32 | (259) all_137_0_86 = 0 % 132.45/73.32 | % 132.45/73.32 | Equations (259) can reduce 228 to: % 132.45/73.32 | (173) $false % 132.45/73.32 | % 132.45/73.32 |-The branch is then unsatisfiable % 132.45/73.32 |-Branch two: % 132.45/73.32 | (454) all_380_0_128 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (454) yields: % 132.45/73.32 | (448) all_380_0_128 = 0 % 132.45/73.32 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.32 | (415) $false % 132.45/73.32 | % 132.45/73.32 |-The branch is then unsatisfiable % 132.45/73.32 |-Branch two: % 132.45/73.32 | (458) all_361_0_127 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (458) yields: % 132.45/73.32 | (443) all_361_0_127 = 0 % 132.45/73.32 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.32 | (415) $false % 132.45/73.32 | % 132.45/73.32 |-The branch is then unsatisfiable % 132.45/73.32 |-Branch two: % 132.45/73.32 | (383) all_337_0_121 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (383) yields: % 132.45/73.32 | (377) all_337_0_121 = 0 % 132.45/73.32 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.45/73.32 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.45/73.32 | % 132.45/73.32 | Instantiating (386) with all_369_0_130 yields: % 132.45/73.32 | (466) (all_369_0_130 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_369_0_130 = 0 & mem(all_183_1_101, e) = 0) % 132.45/73.32 | % 132.45/73.32 +-Applying beta-rule and splitting (424), into two cases. % 132.45/73.32 |-Branch one: % 132.45/73.32 | (442) all_361_0_127 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (442) yields: % 132.45/73.32 | (443) all_361_0_127 = 0 % 132.45/73.32 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.32 | (445) all_137_1_87 = e % 132.45/73.32 | % 132.45/73.32 | From (445) and (229) follows: % 132.45/73.32 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.45/73.32 | % 132.45/73.32 +-Applying beta-rule and splitting (466), into two cases. % 132.45/73.32 |-Branch one: % 132.45/73.32 | (472) all_369_0_130 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.32 | % 132.45/73.32 | Applying alpha-rule on (472) yields: % 132.45/73.32 | (473) all_369_0_130 = 0 % 132.45/73.32 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.32 | % 132.45/73.32 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.45/73.32 | (403) all_183_1_101 = e % 132.45/73.32 | % 132.45/73.32 | From (403) and (258) follows: % 132.45/73.32 | (451) mem(e, all_101_1_77) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.45/73.33 | (259) all_137_0_86 = 0 % 132.45/73.33 | % 132.45/73.33 | Equations (259) can reduce 228 to: % 132.45/73.33 | (173) $false % 132.45/73.33 | % 132.45/73.33 |-The branch is then unsatisfiable % 132.45/73.33 |-Branch two: % 132.45/73.33 | (479) all_369_0_130 = 0 & mem(all_183_1_101, e) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (479) yields: % 132.45/73.33 | (473) all_369_0_130 = 0 % 132.45/73.33 | (418) mem(all_183_1_101, e) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.45/73.33 | (415) $false % 132.45/73.33 | % 132.45/73.33 |-The branch is then unsatisfiable % 132.45/73.33 |-Branch two: % 132.45/73.33 | (458) all_361_0_127 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (458) yields: % 132.45/73.33 | (443) all_361_0_127 = 0 % 132.45/73.33 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.33 | (415) $false % 132.45/73.33 | % 132.45/73.33 |-The branch is then unsatisfiable % 132.45/73.33 |-Branch two: % 132.45/73.33 | (487) all_278_0_115 = 0 & mem(all_112_1_81, all_0_4_4) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (487) yields: % 132.45/73.33 | (331) all_278_0_115 = 0 % 132.45/73.33 | (489) mem(all_112_1_81, all_0_4_4) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_112_1_81, all_0_4_4) = 0, yields: % 132.45/73.33 | (490) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_5_5) = 0)) % 132.45/73.33 | % 132.45/73.33 | Instantiating (490) with all_318_0_144 yields: % 132.45/73.33 | (491) (all_318_0_144 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (all_318_0_144 = 0 & mem(all_112_1_81, all_0_5_5) = 0) % 132.45/73.33 | % 132.45/73.33 +-Applying beta-rule and splitting (305), into two cases. % 132.45/73.33 |-Branch one: % 132.45/73.33 | (335) all_286_0_116 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (335) yields: % 132.45/73.33 | (336) all_286_0_116 = 0 % 132.45/73.33 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 132.45/73.33 | (338) all_137_1_87 = all_0_4_4 % 132.45/73.33 | % 132.45/73.33 | From (338) and (229) follows: % 132.45/73.33 | (496) mem(all_0_4_4, all_101_1_77) = all_137_0_86 % 132.45/73.33 | % 132.45/73.33 +-Applying beta-rule and splitting (317), into two cases. % 132.45/73.33 |-Branch one: % 132.45/73.33 | (347) all_294_0_117 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (347) yields: % 132.45/73.33 | (348) all_294_0_117 = 0 % 132.45/73.33 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.45/73.33 | (350) all_183_1_101 = all_0_4_4 % 132.45/73.33 | % 132.45/73.33 | From (350) and (258) follows: % 132.45/73.33 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 132.45/73.33 | (259) all_137_0_86 = 0 % 132.45/73.33 | % 132.45/73.33 | Equations (259) can reduce 228 to: % 132.45/73.33 | (173) $false % 132.45/73.33 | % 132.45/73.33 |-The branch is then unsatisfiable % 132.45/73.33 |-Branch two: % 132.45/73.33 | (354) all_294_0_117 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (354) yields: % 132.45/73.33 | (348) all_294_0_117 = 0 % 132.45/73.33 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.45/73.33 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.45/73.33 | % 132.45/73.33 | Instantiating (357) with all_337_0_145 yields: % 132.45/73.33 | (508) (all_337_0_145 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_337_0_145 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.45/73.33 | % 132.45/73.33 +-Applying beta-rule and splitting (329), into two cases. % 132.45/73.33 |-Branch one: % 132.45/73.33 | (359) all_302_0_118 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (359) yields: % 132.45/73.33 | (360) all_302_0_118 = 0 % 132.45/73.33 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.45/73.33 | (362) all_167_2_96 = all_0_4_4 % 132.45/73.33 | % 132.45/73.33 | From (362) and (264) follows: % 132.45/73.33 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 132.45/73.33 | (259) all_137_0_86 = 0 % 132.45/73.33 | % 132.45/73.33 | Equations (259) can reduce 228 to: % 132.45/73.33 | (173) $false % 132.45/73.33 | % 132.45/73.33 |-The branch is then unsatisfiable % 132.45/73.33 |-Branch two: % 132.45/73.33 | (366) all_302_0_118 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (366) yields: % 132.45/73.33 | (360) all_302_0_118 = 0 % 132.45/73.33 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.45/73.33 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.45/73.33 | % 132.45/73.33 | Instantiating (369) with all_345_0_146 yields: % 132.45/73.33 | (520) (all_345_0_146 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_345_0_146 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.45/73.33 | % 132.45/73.33 +-Applying beta-rule and splitting (491), into two cases. % 132.45/73.33 |-Branch one: % 132.45/73.33 | (521) all_318_0_144 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (521) yields: % 132.45/73.33 | (522) all_318_0_144 = 0 % 132.45/73.33 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 132.45/73.33 | (524) all_112_1_81 = all_0_5_5 % 132.45/73.33 | % 132.45/73.33 | From (524) and (208) follows: % 132.45/73.33 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 132.45/73.33 | % 132.45/73.33 +-Applying beta-rule and splitting (508), into two cases. % 132.45/73.33 |-Branch one: % 132.45/73.33 | (526) all_337_0_145 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (526) yields: % 132.45/73.33 | (527) all_337_0_145 = 0 % 132.45/73.33 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.45/73.33 | (379) all_183_1_101 = all_0_5_5 % 132.45/73.33 | % 132.45/73.33 | From (379) and (263) follows: % 132.45/73.33 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.45/73.33 | (231) all_112_0_80 = 0 % 132.45/73.33 | % 132.45/73.33 | Equations (231) can reduce 207 to: % 132.45/73.33 | (173) $false % 132.45/73.33 | % 132.45/73.33 |-The branch is then unsatisfiable % 132.45/73.33 |-Branch two: % 132.45/73.33 | (533) all_337_0_145 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (533) yields: % 132.45/73.33 | (527) all_337_0_145 = 0 % 132.45/73.33 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.45/73.33 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.45/73.33 | % 132.45/73.33 | Instantiating (386) with all_372_0_148 yields: % 132.45/73.33 | (537) (all_372_0_148 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_372_0_148 = 0 & mem(all_183_1_101, e) = 0) % 132.45/73.33 | % 132.45/73.33 +-Applying beta-rule and splitting (520), into two cases. % 132.45/73.33 |-Branch one: % 132.45/73.33 | (538) all_345_0_146 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (538) yields: % 132.45/73.33 | (539) all_345_0_146 = 0 % 132.45/73.33 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.33 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.33 | % 132.45/73.33 | From (391) and (272) follows: % 132.45/73.33 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.45/73.33 | (231) all_112_0_80 = 0 % 132.45/73.33 | % 132.45/73.33 | Equations (231) can reduce 207 to: % 132.45/73.33 | (173) $false % 132.45/73.33 | % 132.45/73.33 |-The branch is then unsatisfiable % 132.45/73.33 |-Branch two: % 132.45/73.33 | (545) all_345_0_146 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (545) yields: % 132.45/73.33 | (539) all_345_0_146 = 0 % 132.45/73.33 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.33 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.33 | % 132.45/73.33 | Instantiating (398) with all_380_0_149 yields: % 132.45/73.33 | (549) (all_380_0_149 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_149 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.33 | % 132.45/73.33 +-Applying beta-rule and splitting (537), into two cases. % 132.45/73.33 |-Branch one: % 132.45/73.33 | (550) all_372_0_148 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.33 | % 132.45/73.33 | Applying alpha-rule on (550) yields: % 132.45/73.33 | (551) all_372_0_148 = 0 % 132.45/73.33 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.33 | % 132.45/73.33 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.45/73.33 | (403) all_183_1_101 = e % 132.45/73.33 | % 132.45/73.33 | From (403) and (257) follows: % 132.45/73.33 | (404) mem(e, all_131_1_85) = all_183_0_100 % 132.45/73.33 | % 132.45/73.33 +-Applying beta-rule and splitting (549), into two cases. % 132.45/73.33 |-Branch one: % 132.45/73.34 | (555) all_380_0_149 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (555) yields: % 132.45/73.34 | (556) all_380_0_149 = 0 % 132.45/73.34 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.34 | (408) all_167_2_96 = e % 132.45/73.34 | % 132.45/73.34 | From (408) and (246) follows: % 132.45/73.34 | (409) mem(e, all_131_1_85) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (31) with e, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(e, all_131_1_85) = all_183_0_100, mem(e, all_131_1_85) = 0, yields: % 132.45/73.34 | (410) all_183_0_100 = 0 % 132.45/73.34 | % 132.45/73.34 | Equations (410) can reduce 256 to: % 132.45/73.34 | (173) $false % 132.45/73.34 | % 132.45/73.34 |-The branch is then unsatisfiable % 132.45/73.34 |-Branch two: % 132.45/73.34 | (562) all_380_0_149 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (562) yields: % 132.45/73.34 | (556) all_380_0_149 = 0 % 132.45/73.34 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.34 | (415) $false % 132.45/73.34 | % 132.45/73.34 |-The branch is then unsatisfiable % 132.45/73.34 |-Branch two: % 132.45/73.34 | (566) all_372_0_148 = 0 & mem(all_183_1_101, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (566) yields: % 132.45/73.34 | (551) all_372_0_148 = 0 % 132.45/73.34 | (418) mem(all_183_1_101, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.45/73.34 | (415) $false % 132.45/73.34 | % 132.45/73.34 |-The branch is then unsatisfiable % 132.45/73.34 |-Branch two: % 132.45/73.34 | (570) all_318_0_144 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (570) yields: % 132.45/73.34 | (522) all_318_0_144 = 0 % 132.45/73.34 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 132.45/73.34 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 132.45/73.34 | % 132.45/73.34 | Instantiating (573) with all_361_0_151 yields: % 132.45/73.34 | (574) (all_361_0_151 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_361_0_151 = 0 & mem(all_112_1_81, e) = 0) % 132.45/73.34 | % 132.45/73.34 +-Applying beta-rule and splitting (508), into two cases. % 132.45/73.34 |-Branch one: % 132.45/73.34 | (526) all_337_0_145 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (526) yields: % 132.45/73.34 | (527) all_337_0_145 = 0 % 132.45/73.34 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.45/73.34 | (379) all_183_1_101 = all_0_5_5 % 132.45/73.34 | % 132.45/73.34 | From (379) and (257) follows: % 132.45/73.34 | (429) mem(all_0_5_5, all_131_1_85) = all_183_0_100 % 132.45/73.34 | % 132.45/73.34 +-Applying beta-rule and splitting (520), into two cases. % 132.45/73.34 |-Branch one: % 132.45/73.34 | (538) all_345_0_146 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (538) yields: % 132.45/73.34 | (539) all_345_0_146 = 0 % 132.45/73.34 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.34 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.34 | % 132.45/73.34 | From (391) and (246) follows: % 132.45/73.34 | (434) mem(all_0_5_5, all_131_1_85) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (31) with all_0_5_5, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_5_5, all_131_1_85) = all_183_0_100, mem(all_0_5_5, all_131_1_85) = 0, yields: % 132.45/73.34 | (410) all_183_0_100 = 0 % 132.45/73.34 | % 132.45/73.34 | Equations (410) can reduce 256 to: % 132.45/73.34 | (173) $false % 132.45/73.34 | % 132.45/73.34 |-The branch is then unsatisfiable % 132.45/73.34 |-Branch two: % 132.45/73.34 | (545) all_345_0_146 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (545) yields: % 132.45/73.34 | (539) all_345_0_146 = 0 % 132.45/73.34 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.34 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.34 | % 132.45/73.34 | Instantiating (398) with all_380_0_152 yields: % 132.45/73.34 | (591) (all_380_0_152 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_152 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.34 | % 132.45/73.34 +-Applying beta-rule and splitting (574), into two cases. % 132.45/73.34 |-Branch one: % 132.45/73.34 | (592) all_361_0_151 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (592) yields: % 132.45/73.34 | (593) all_361_0_151 = 0 % 132.45/73.34 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.45/73.34 | (595) all_112_1_81 = e % 132.45/73.34 | % 132.45/73.34 | From (595) and (208) follows: % 132.45/73.34 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.45/73.34 | % 132.45/73.34 +-Applying beta-rule and splitting (591), into two cases. % 132.45/73.34 |-Branch one: % 132.45/73.34 | (597) all_380_0_152 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (597) yields: % 132.45/73.34 | (598) all_380_0_152 = 0 % 132.45/73.34 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.34 | (408) all_167_2_96 = e % 132.45/73.34 | % 132.45/73.34 | From (408) and (272) follows: % 132.45/73.34 | (601) mem(e, all_76_1_69) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.45/73.34 | (231) all_112_0_80 = 0 % 132.45/73.34 | % 132.45/73.34 | Equations (231) can reduce 207 to: % 132.45/73.34 | (173) $false % 132.45/73.34 | % 132.45/73.34 |-The branch is then unsatisfiable % 132.45/73.34 |-Branch two: % 132.45/73.34 | (604) all_380_0_152 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (604) yields: % 132.45/73.34 | (598) all_380_0_152 = 0 % 132.45/73.34 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.34 | (415) $false % 132.45/73.34 | % 132.45/73.34 |-The branch is then unsatisfiable % 132.45/73.34 |-Branch two: % 132.45/73.34 | (608) all_361_0_151 = 0 & mem(all_112_1_81, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (608) yields: % 132.45/73.34 | (593) all_361_0_151 = 0 % 132.45/73.34 | (610) mem(all_112_1_81, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.45/73.34 | (415) $false % 132.45/73.34 | % 132.45/73.34 |-The branch is then unsatisfiable % 132.45/73.34 |-Branch two: % 132.45/73.34 | (533) all_337_0_145 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (533) yields: % 132.45/73.34 | (527) all_337_0_145 = 0 % 132.45/73.34 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.45/73.34 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.45/73.34 | % 132.45/73.34 | Instantiating (386) with all_369_0_154 yields: % 132.45/73.34 | (616) (all_369_0_154 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_369_0_154 = 0 & mem(all_183_1_101, e) = 0) % 132.45/73.34 | % 132.45/73.34 +-Applying beta-rule and splitting (574), into two cases. % 132.45/73.34 |-Branch one: % 132.45/73.34 | (592) all_361_0_151 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (592) yields: % 132.45/73.34 | (593) all_361_0_151 = 0 % 132.45/73.34 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.45/73.34 | (595) all_112_1_81 = e % 132.45/73.34 | % 132.45/73.34 | From (595) and (208) follows: % 132.45/73.34 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.45/73.34 | % 132.45/73.34 +-Applying beta-rule and splitting (616), into two cases. % 132.45/73.34 |-Branch one: % 132.45/73.34 | (622) all_369_0_154 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (622) yields: % 132.45/73.34 | (623) all_369_0_154 = 0 % 132.45/73.34 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.45/73.34 | (403) all_183_1_101 = e % 132.45/73.34 | % 132.45/73.34 | From (403) and (263) follows: % 132.45/73.34 | (601) mem(e, all_76_1_69) = 0 % 132.45/73.34 | % 132.45/73.34 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.45/73.34 | (231) all_112_0_80 = 0 % 132.45/73.34 | % 132.45/73.34 | Equations (231) can reduce 207 to: % 132.45/73.34 | (173) $false % 132.45/73.34 | % 132.45/73.34 |-The branch is then unsatisfiable % 132.45/73.34 |-Branch two: % 132.45/73.34 | (629) all_369_0_154 = 0 & mem(all_183_1_101, e) = 0 % 132.45/73.34 | % 132.45/73.34 | Applying alpha-rule on (629) yields: % 132.45/73.34 | (623) all_369_0_154 = 0 % 132.45/73.34 | (418) mem(all_183_1_101, e) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.45/73.35 | (415) $false % 132.45/73.35 | % 132.45/73.35 |-The branch is then unsatisfiable % 132.45/73.35 |-Branch two: % 132.45/73.35 | (608) all_361_0_151 = 0 & mem(all_112_1_81, e) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (608) yields: % 132.45/73.35 | (593) all_361_0_151 = 0 % 132.45/73.35 | (610) mem(all_112_1_81, e) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.45/73.35 | (415) $false % 132.45/73.35 | % 132.45/73.35 |-The branch is then unsatisfiable % 132.45/73.35 |-Branch two: % 132.45/73.35 | (342) all_286_0_116 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (342) yields: % 132.45/73.35 | (336) all_286_0_116 = 0 % 132.45/73.35 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 132.45/73.35 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 132.45/73.35 | % 132.45/73.35 | Instantiating (345) with all_326_0_168 yields: % 132.45/73.35 | (641) (all_326_0_168 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_326_0_168 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (317), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (347) all_294_0_117 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (347) yields: % 132.45/73.35 | (348) all_294_0_117 = 0 % 132.45/73.35 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.45/73.35 | (350) all_183_1_101 = all_0_4_4 % 132.45/73.35 | % 132.45/73.35 | From (350) and (257) follows: % 132.45/73.35 | (646) mem(all_0_4_4, all_131_1_85) = all_183_0_100 % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (329), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (359) all_302_0_118 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (359) yields: % 132.45/73.35 | (360) all_302_0_118 = 0 % 132.45/73.35 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.45/73.35 | (362) all_167_2_96 = all_0_4_4 % 132.45/73.35 | % 132.45/73.35 | From (362) and (246) follows: % 132.45/73.35 | (651) mem(all_0_4_4, all_131_1_85) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (31) with all_0_4_4, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_4_4, all_131_1_85) = all_183_0_100, mem(all_0_4_4, all_131_1_85) = 0, yields: % 132.45/73.35 | (410) all_183_0_100 = 0 % 132.45/73.35 | % 132.45/73.35 | Equations (410) can reduce 256 to: % 132.45/73.35 | (173) $false % 132.45/73.35 | % 132.45/73.35 |-The branch is then unsatisfiable % 132.45/73.35 |-Branch two: % 132.45/73.35 | (366) all_302_0_118 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (366) yields: % 132.45/73.35 | (360) all_302_0_118 = 0 % 132.45/73.35 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.45/73.35 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.45/73.35 | % 132.45/73.35 | Instantiating (369) with all_345_0_169 yields: % 132.45/73.35 | (658) (all_345_0_169 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_345_0_169 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (491), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (521) all_318_0_144 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (521) yields: % 132.45/73.35 | (522) all_318_0_144 = 0 % 132.45/73.35 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 132.45/73.35 | (524) all_112_1_81 = all_0_5_5 % 132.45/73.35 | % 132.45/73.35 | From (524) and (208) follows: % 132.45/73.35 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (641), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (664) all_326_0_168 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (664) yields: % 132.45/73.35 | (665) all_326_0_168 = 0 % 132.45/73.35 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.45/73.35 | (374) all_137_1_87 = all_0_5_5 % 132.45/73.35 | % 132.45/73.35 | From (374) and (230) follows: % 132.45/73.35 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.45/73.35 | (231) all_112_0_80 = 0 % 132.45/73.35 | % 132.45/73.35 | Equations (231) can reduce 207 to: % 132.45/73.35 | (173) $false % 132.45/73.35 | % 132.45/73.35 |-The branch is then unsatisfiable % 132.45/73.35 |-Branch two: % 132.45/73.35 | (671) all_326_0_168 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (671) yields: % 132.45/73.35 | (665) all_326_0_168 = 0 % 132.45/73.35 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.45/73.35 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.45/73.35 | % 132.45/73.35 | Instantiating (423) with all_372_0_171 yields: % 132.45/73.35 | (675) (all_372_0_171 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_372_0_171 = 0 & mem(all_137_1_87, e) = 0) % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (658), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (676) all_345_0_169 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (676) yields: % 132.45/73.35 | (677) all_345_0_169 = 0 % 132.45/73.35 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.35 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.35 | % 132.45/73.35 | From (391) and (272) follows: % 132.45/73.35 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.45/73.35 | (231) all_112_0_80 = 0 % 132.45/73.35 | % 132.45/73.35 | Equations (231) can reduce 207 to: % 132.45/73.35 | (173) $false % 132.45/73.35 | % 132.45/73.35 |-The branch is then unsatisfiable % 132.45/73.35 |-Branch two: % 132.45/73.35 | (683) all_345_0_169 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (683) yields: % 132.45/73.35 | (677) all_345_0_169 = 0 % 132.45/73.35 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.35 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.35 | % 132.45/73.35 | Instantiating (398) with all_380_0_172 yields: % 132.45/73.35 | (687) (all_380_0_172 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_172 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (675), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (688) all_372_0_171 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (688) yields: % 132.45/73.35 | (689) all_372_0_171 = 0 % 132.45/73.35 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.35 | (445) all_137_1_87 = e % 132.45/73.35 | % 132.45/73.35 | From (445) and (229) follows: % 132.45/73.35 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (687), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (693) all_380_0_172 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (693) yields: % 132.45/73.35 | (694) all_380_0_172 = 0 % 132.45/73.35 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.35 | (408) all_167_2_96 = e % 132.45/73.35 | % 132.45/73.35 | From (408) and (264) follows: % 132.45/73.35 | (451) mem(e, all_101_1_77) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.45/73.35 | (259) all_137_0_86 = 0 % 132.45/73.35 | % 132.45/73.35 | Equations (259) can reduce 228 to: % 132.45/73.35 | (173) $false % 132.45/73.35 | % 132.45/73.35 |-The branch is then unsatisfiable % 132.45/73.35 |-Branch two: % 132.45/73.35 | (700) all_380_0_172 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (700) yields: % 132.45/73.35 | (694) all_380_0_172 = 0 % 132.45/73.35 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.35 | (415) $false % 132.45/73.35 | % 132.45/73.35 |-The branch is then unsatisfiable % 132.45/73.35 |-Branch two: % 132.45/73.35 | (704) all_372_0_171 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (704) yields: % 132.45/73.35 | (689) all_372_0_171 = 0 % 132.45/73.35 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.35 | (415) $false % 132.45/73.35 | % 132.45/73.35 |-The branch is then unsatisfiable % 132.45/73.35 |-Branch two: % 132.45/73.35 | (570) all_318_0_144 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (570) yields: % 132.45/73.35 | (522) all_318_0_144 = 0 % 132.45/73.35 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 132.45/73.35 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 132.45/73.35 | % 132.45/73.35 | Instantiating (573) with all_361_0_174 yields: % 132.45/73.35 | (712) (all_361_0_174 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_361_0_174 = 0 & mem(all_112_1_81, e) = 0) % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (641), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (664) all_326_0_168 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.35 | Applying alpha-rule on (664) yields: % 132.45/73.35 | (665) all_326_0_168 = 0 % 132.45/73.35 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.35 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.45/73.35 | (374) all_137_1_87 = all_0_5_5 % 132.45/73.35 | % 132.45/73.35 | From (374) and (229) follows: % 132.45/73.35 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 132.45/73.35 | % 132.45/73.35 +-Applying beta-rule and splitting (658), into two cases. % 132.45/73.35 |-Branch one: % 132.45/73.35 | (676) all_345_0_169 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.35 | % 132.45/73.36 | Applying alpha-rule on (676) yields: % 132.45/73.36 | (677) all_345_0_169 = 0 % 132.45/73.36 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.36 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.36 | % 132.45/73.36 | From (391) and (264) follows: % 132.45/73.36 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 132.45/73.36 | (259) all_137_0_86 = 0 % 132.45/73.36 | % 132.45/73.36 | Equations (259) can reduce 228 to: % 132.45/73.36 | (173) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (683) all_345_0_169 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (683) yields: % 132.45/73.36 | (677) all_345_0_169 = 0 % 132.45/73.36 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.36 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.36 | % 132.45/73.36 | Instantiating (398) with all_380_0_175 yields: % 132.45/73.36 | (729) (all_380_0_175 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_175 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (712), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (730) all_361_0_174 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (730) yields: % 132.45/73.36 | (731) all_361_0_174 = 0 % 132.45/73.36 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.45/73.36 | (595) all_112_1_81 = e % 132.45/73.36 | % 132.45/73.36 | From (595) and (208) follows: % 132.45/73.36 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (729), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (735) all_380_0_175 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (735) yields: % 132.45/73.36 | (736) all_380_0_175 = 0 % 132.45/73.36 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.36 | (408) all_167_2_96 = e % 132.45/73.36 | % 132.45/73.36 | From (408) and (272) follows: % 132.45/73.36 | (601) mem(e, all_76_1_69) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.45/73.36 | (231) all_112_0_80 = 0 % 132.45/73.36 | % 132.45/73.36 | Equations (231) can reduce 207 to: % 132.45/73.36 | (173) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (742) all_380_0_175 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (742) yields: % 132.45/73.36 | (736) all_380_0_175 = 0 % 132.45/73.36 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.36 | (415) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (746) all_361_0_174 = 0 & mem(all_112_1_81, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (746) yields: % 132.45/73.36 | (731) all_361_0_174 = 0 % 132.45/73.36 | (610) mem(all_112_1_81, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.45/73.36 | (415) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (671) all_326_0_168 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (671) yields: % 132.45/73.36 | (665) all_326_0_168 = 0 % 132.45/73.36 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.45/73.36 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.45/73.36 | % 132.45/73.36 | Instantiating (423) with all_369_0_177 yields: % 132.45/73.36 | (754) (all_369_0_177 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_369_0_177 = 0 & mem(all_137_1_87, e) = 0) % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (712), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (730) all_361_0_174 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (730) yields: % 132.45/73.36 | (731) all_361_0_174 = 0 % 132.45/73.36 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.45/73.36 | (595) all_112_1_81 = e % 132.45/73.36 | % 132.45/73.36 | From (595) and (208) follows: % 132.45/73.36 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (754), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (760) all_369_0_177 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (760) yields: % 132.45/73.36 | (761) all_369_0_177 = 0 % 132.45/73.36 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.36 | (445) all_137_1_87 = e % 132.45/73.36 | % 132.45/73.36 | From (445) and (230) follows: % 132.45/73.36 | (601) mem(e, all_76_1_69) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.45/73.36 | (231) all_112_0_80 = 0 % 132.45/73.36 | % 132.45/73.36 | Equations (231) can reduce 207 to: % 132.45/73.36 | (173) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (767) all_369_0_177 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (767) yields: % 132.45/73.36 | (761) all_369_0_177 = 0 % 132.45/73.36 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.36 | (415) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (746) all_361_0_174 = 0 & mem(all_112_1_81, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (746) yields: % 132.45/73.36 | (731) all_361_0_174 = 0 % 132.45/73.36 | (610) mem(all_112_1_81, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.45/73.36 | (415) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (354) all_294_0_117 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (354) yields: % 132.45/73.36 | (348) all_294_0_117 = 0 % 132.45/73.36 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.45/73.36 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.45/73.36 | % 132.45/73.36 | Instantiating (357) with all_334_0_191 yields: % 132.45/73.36 | (779) (all_334_0_191 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_334_0_191 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (491), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (521) all_318_0_144 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (521) yields: % 132.45/73.36 | (522) all_318_0_144 = 0 % 132.45/73.36 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 132.45/73.36 | (524) all_112_1_81 = all_0_5_5 % 132.45/73.36 | % 132.45/73.36 | From (524) and (208) follows: % 132.45/73.36 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (641), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (664) all_326_0_168 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (664) yields: % 132.45/73.36 | (665) all_326_0_168 = 0 % 132.45/73.36 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.45/73.36 | (374) all_137_1_87 = all_0_5_5 % 132.45/73.36 | % 132.45/73.36 | From (374) and (230) follows: % 132.45/73.36 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.45/73.36 | (231) all_112_0_80 = 0 % 132.45/73.36 | % 132.45/73.36 | Equations (231) can reduce 207 to: % 132.45/73.36 | (173) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (671) all_326_0_168 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (671) yields: % 132.45/73.36 | (665) all_326_0_168 = 0 % 132.45/73.36 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.45/73.36 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.45/73.36 | % 132.45/73.36 | Instantiating (423) with all_400_0_209 yields: % 132.45/73.36 | (796) (all_400_0_209 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_400_0_209 = 0 & mem(all_137_1_87, e) = 0) % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (779), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (797) all_334_0_191 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (797) yields: % 132.45/73.36 | (798) all_334_0_191 = 0 % 132.45/73.36 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.45/73.36 | (379) all_183_1_101 = all_0_5_5 % 132.45/73.36 | % 132.45/73.36 | From (379) and (263) follows: % 132.45/73.36 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.45/73.36 | (231) all_112_0_80 = 0 % 132.45/73.36 | % 132.45/73.36 | Equations (231) can reduce 207 to: % 132.45/73.36 | (173) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (804) all_334_0_191 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (804) yields: % 132.45/73.36 | (798) all_334_0_191 = 0 % 132.45/73.36 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.45/73.36 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.45/73.36 | % 132.45/73.36 | Instantiating (386) with all_408_0_210 yields: % 132.45/73.36 | (808) (all_408_0_210 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_408_0_210 = 0 & mem(all_183_1_101, e) = 0) % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (796), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (809) all_400_0_209 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (809) yields: % 132.45/73.36 | (810) all_400_0_209 = 0 % 132.45/73.36 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.36 | (445) all_137_1_87 = e % 132.45/73.36 | % 132.45/73.36 | From (445) and (229) follows: % 132.45/73.36 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.45/73.36 | % 132.45/73.36 +-Applying beta-rule and splitting (808), into two cases. % 132.45/73.36 |-Branch one: % 132.45/73.36 | (814) all_408_0_210 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (814) yields: % 132.45/73.36 | (815) all_408_0_210 = 0 % 132.45/73.36 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.45/73.36 | (403) all_183_1_101 = e % 132.45/73.36 | % 132.45/73.36 | From (403) and (258) follows: % 132.45/73.36 | (451) mem(e, all_101_1_77) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.45/73.36 | (259) all_137_0_86 = 0 % 132.45/73.36 | % 132.45/73.36 | Equations (259) can reduce 228 to: % 132.45/73.36 | (173) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (821) all_408_0_210 = 0 & mem(all_183_1_101, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Applying alpha-rule on (821) yields: % 132.45/73.36 | (815) all_408_0_210 = 0 % 132.45/73.36 | (418) mem(all_183_1_101, e) = 0 % 132.45/73.36 | % 132.45/73.36 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.45/73.36 | (415) $false % 132.45/73.36 | % 132.45/73.36 |-The branch is then unsatisfiable % 132.45/73.36 |-Branch two: % 132.45/73.36 | (825) all_400_0_209 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.36 | % 132.45/73.37 | Applying alpha-rule on (825) yields: % 132.45/73.37 | (810) all_400_0_209 = 0 % 132.45/73.37 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.37 | (415) $false % 132.45/73.37 | % 132.45/73.37 |-The branch is then unsatisfiable % 132.45/73.37 |-Branch two: % 132.45/73.37 | (570) all_318_0_144 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (570) yields: % 132.45/73.37 | (522) all_318_0_144 = 0 % 132.45/73.37 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 132.45/73.37 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 132.45/73.37 | % 132.45/73.37 | Instantiating (573) with all_383_0_216 yields: % 132.45/73.37 | (833) (all_383_0_216 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_383_0_216 = 0 & mem(all_112_1_81, e) = 0) % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (641), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (664) all_326_0_168 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (664) yields: % 132.45/73.37 | (665) all_326_0_168 = 0 % 132.45/73.37 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.45/73.37 | (374) all_137_1_87 = all_0_5_5 % 132.45/73.37 | % 132.45/73.37 | From (374) and (229) follows: % 132.45/73.37 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (779), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (797) all_334_0_191 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (797) yields: % 132.45/73.37 | (798) all_334_0_191 = 0 % 132.45/73.37 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.45/73.37 | (379) all_183_1_101 = all_0_5_5 % 132.45/73.37 | % 132.45/73.37 | From (379) and (258) follows: % 132.45/73.37 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 132.45/73.37 | (259) all_137_0_86 = 0 % 132.45/73.37 | % 132.45/73.37 | Equations (259) can reduce 228 to: % 132.45/73.37 | (173) $false % 132.45/73.37 | % 132.45/73.37 |-The branch is then unsatisfiable % 132.45/73.37 |-Branch two: % 132.45/73.37 | (804) all_334_0_191 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (804) yields: % 132.45/73.37 | (798) all_334_0_191 = 0 % 132.45/73.37 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.45/73.37 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.45/73.37 | % 132.45/73.37 | Instantiating (386) with all_408_0_219 yields: % 132.45/73.37 | (850) (all_408_0_219 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_408_0_219 = 0 & mem(all_183_1_101, e) = 0) % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (833), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (851) all_383_0_216 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (851) yields: % 132.45/73.37 | (852) all_383_0_216 = 0 % 132.45/73.37 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.45/73.37 | (595) all_112_1_81 = e % 132.45/73.37 | % 132.45/73.37 | From (595) and (208) follows: % 132.45/73.37 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (850), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (856) all_408_0_219 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (856) yields: % 132.45/73.37 | (857) all_408_0_219 = 0 % 132.45/73.37 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.45/73.37 | (403) all_183_1_101 = e % 132.45/73.37 | % 132.45/73.37 | From (403) and (263) follows: % 132.45/73.37 | (601) mem(e, all_76_1_69) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.45/73.37 | (231) all_112_0_80 = 0 % 132.45/73.37 | % 132.45/73.37 | Equations (231) can reduce 207 to: % 132.45/73.37 | (173) $false % 132.45/73.37 | % 132.45/73.37 |-The branch is then unsatisfiable % 132.45/73.37 |-Branch two: % 132.45/73.37 | (863) all_408_0_219 = 0 & mem(all_183_1_101, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (863) yields: % 132.45/73.37 | (857) all_408_0_219 = 0 % 132.45/73.37 | (418) mem(all_183_1_101, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.45/73.37 | (415) $false % 132.45/73.37 | % 132.45/73.37 |-The branch is then unsatisfiable % 132.45/73.37 |-Branch two: % 132.45/73.37 | (867) all_383_0_216 = 0 & mem(all_112_1_81, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (867) yields: % 132.45/73.37 | (852) all_383_0_216 = 0 % 132.45/73.37 | (610) mem(all_112_1_81, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.45/73.37 | (415) $false % 132.45/73.37 | % 132.45/73.37 |-The branch is then unsatisfiable % 132.45/73.37 |-Branch two: % 132.45/73.37 | (671) all_326_0_168 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (671) yields: % 132.45/73.37 | (665) all_326_0_168 = 0 % 132.45/73.37 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.45/73.37 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.45/73.37 | % 132.45/73.37 | Instantiating (423) with all_397_0_223 yields: % 132.45/73.37 | (875) (all_397_0_223 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_397_0_223 = 0 & mem(all_137_1_87, e) = 0) % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (833), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (851) all_383_0_216 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (851) yields: % 132.45/73.37 | (852) all_383_0_216 = 0 % 132.45/73.37 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.45/73.37 | (595) all_112_1_81 = e % 132.45/73.37 | % 132.45/73.37 | From (595) and (208) follows: % 132.45/73.37 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (875), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (881) all_397_0_223 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (881) yields: % 132.45/73.37 | (882) all_397_0_223 = 0 % 132.45/73.37 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.37 | (445) all_137_1_87 = e % 132.45/73.37 | % 132.45/73.37 | From (445) and (230) follows: % 132.45/73.37 | (601) mem(e, all_76_1_69) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.45/73.37 | (231) all_112_0_80 = 0 % 132.45/73.37 | % 132.45/73.37 | Equations (231) can reduce 207 to: % 132.45/73.37 | (173) $false % 132.45/73.37 | % 132.45/73.37 |-The branch is then unsatisfiable % 132.45/73.37 |-Branch two: % 132.45/73.37 | (888) all_397_0_223 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (888) yields: % 132.45/73.37 | (882) all_397_0_223 = 0 % 132.45/73.37 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.37 | (415) $false % 132.45/73.37 | % 132.45/73.37 |-The branch is then unsatisfiable % 132.45/73.37 |-Branch two: % 132.45/73.37 | (867) all_383_0_216 = 0 & mem(all_112_1_81, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (867) yields: % 132.45/73.37 | (852) all_383_0_216 = 0 % 132.45/73.37 | (610) mem(all_112_1_81, e) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.45/73.37 | (415) $false % 132.45/73.37 | % 132.45/73.37 |-The branch is then unsatisfiable % 132.45/73.37 |-Branch two: % 132.45/73.37 | (896) all_98_0_74 = 0 & mem(all_87_1_73, all_0_3_3) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (896) yields: % 132.45/73.37 | (267) all_98_0_74 = 0 % 132.45/73.37 | (898) mem(all_87_1_73, all_0_3_3) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (94) with all_183_1_101, all_59_1_62, all_76_1_69 and discharging atoms subq(all_76_1_69, all_59_1_62) = 0, mem(all_183_1_101, all_76_1_69) = 0, yields: % 132.45/73.37 | (271) mem(all_183_1_101, all_59_1_62) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (94) with all_167_2_96, all_76_1_69, all_101_1_77 and discharging atoms subq(all_101_1_77, all_76_1_69) = 0, mem(all_167_2_96, all_101_1_77) = 0, yields: % 132.45/73.37 | (272) mem(all_167_2_96, all_76_1_69) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (5) with all_0_0_0, all_57_0_60, all_0_3_3, all_137_1_87 and discharging atoms u(all_0_3_3, all_57_0_60) = all_0_0_0, mem(all_137_1_87, all_0_0_0) = 0, yields: % 132.45/73.37 | (273) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_57_0_60) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_3_3) = 0)) % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_87_1_73 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_87_1_73, all_0_3_3) = 0, yields: % 132.45/73.37 | (902) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_72_0_66) = 0) | (v0 = 0 & mem(all_87_1_73, all_0_4_4) = 0)) % 132.45/73.37 | % 132.45/73.37 | Instantiating (902) with all_228_0_225 yields: % 132.45/73.37 | (903) (all_228_0_225 = 0 & mem(all_87_1_73, all_72_0_66) = 0) | (all_228_0_225 = 0 & mem(all_87_1_73, all_0_4_4) = 0) % 132.45/73.37 | % 132.45/73.37 | Instantiating (273) with all_229_0_226 yields: % 132.45/73.37 | (904) (all_229_0_226 = 0 & mem(all_137_1_87, all_57_0_60) = 0) | (all_229_0_226 = 0 & mem(all_137_1_87, all_0_3_3) = 0) % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (94) with all_183_1_101, all_0_0_0, all_59_1_62 and discharging atoms subq(all_59_1_62, all_0_0_0) = 0, mem(all_183_1_101, all_59_1_62) = 0, yields: % 132.45/73.37 | (275) mem(all_183_1_101, all_0_0_0) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (94) with all_167_2_96, all_59_1_62, all_76_1_69 and discharging atoms subq(all_76_1_69, all_59_1_62) = 0, mem(all_167_2_96, all_76_1_69) = 0, yields: % 132.45/73.37 | (276) mem(all_167_2_96, all_59_1_62) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (5) with all_0_0_0, all_57_0_60, all_0_3_3, all_183_1_101 and discharging atoms u(all_0_3_3, all_57_0_60) = all_0_0_0, mem(all_183_1_101, all_0_0_0) = 0, yields: % 132.45/73.37 | (277) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_57_0_60) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_3_3) = 0)) % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (94) with all_167_2_96, all_0_0_0, all_59_1_62 and discharging atoms subq(all_59_1_62, all_0_0_0) = 0, mem(all_167_2_96, all_59_1_62) = 0, yields: % 132.45/73.37 | (278) mem(all_167_2_96, all_0_0_0) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating (277) with all_254_0_230 yields: % 132.45/73.37 | (909) (all_254_0_230 = 0 & mem(all_183_1_101, all_57_0_60) = 0) | (all_254_0_230 = 0 & mem(all_183_1_101, all_0_3_3) = 0) % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (5) with all_0_0_0, all_57_0_60, all_0_3_3, all_167_2_96 and discharging atoms u(all_0_3_3, all_57_0_60) = all_0_0_0, mem(all_167_2_96, all_0_0_0) = 0, yields: % 132.45/73.37 | (280) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_57_0_60) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_3_3) = 0)) % 132.45/73.37 | % 132.45/73.37 | Instantiating (280) with all_261_0_231 yields: % 132.45/73.37 | (911) (all_261_0_231 = 0 & mem(all_167_2_96, all_57_0_60) = 0) | (all_261_0_231 = 0 & mem(all_167_2_96, all_0_3_3) = 0) % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (241), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (282) all_164_0_92 = 0 & mem(all_112_1_81, all_57_0_60) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (282) yields: % 132.45/73.37 | (283) all_164_0_92 = 0 % 132.45/73.37 | (284) mem(all_112_1_81, all_57_0_60) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_112_1_81 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_112_1_81, all_57_0_60) = 0, yields: % 132.45/73.37 | (285) all_112_1_81 = all_0_1_1 % 132.45/73.37 | % 132.45/73.37 | From (285) and (208) follows: % 132.45/73.37 | (916) mem(all_0_1_1, all_76_1_69) = all_112_0_80 % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (903), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (917) all_228_0_225 = 0 & mem(all_87_1_73, all_72_0_66) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (917) yields: % 132.45/73.37 | (918) all_228_0_225 = 0 % 132.45/73.37 | (919) mem(all_87_1_73, all_72_0_66) = 0 % 132.45/73.37 | % 132.45/73.37 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_87_1_73 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_87_1_73, all_72_0_66) = 0, yields: % 132.45/73.37 | (920) all_87_1_73 = all_0_4_4 % 132.45/73.37 | % 132.45/73.37 | From (920) and (182) follows: % 132.45/73.37 | (921) mem(all_0_4_4, all_59_1_62) = all_87_0_72 % 132.45/73.37 | % 132.45/73.37 +-Applying beta-rule and splitting (904), into two cases. % 132.45/73.37 |-Branch one: % 132.45/73.37 | (922) all_229_0_226 = 0 & mem(all_137_1_87, all_57_0_60) = 0 % 132.45/73.37 | % 132.45/73.37 | Applying alpha-rule on (922) yields: % 132.45/73.38 | (923) all_229_0_226 = 0 % 132.45/73.38 | (296) mem(all_137_1_87, all_57_0_60) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_137_1_87 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_137_1_87, all_57_0_60) = 0, yields: % 132.45/73.38 | (297) all_137_1_87 = all_0_1_1 % 132.45/73.38 | % 132.45/73.38 | From (297) and (230) follows: % 132.45/73.38 | (926) mem(all_0_1_1, all_76_1_69) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (31) with all_0_1_1, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_1_1, all_76_1_69) = all_112_0_80, mem(all_0_1_1, all_76_1_69) = 0, yields: % 132.45/73.38 | (231) all_112_0_80 = 0 % 132.45/73.38 | % 132.45/73.38 | Equations (231) can reduce 207 to: % 132.45/73.38 | (173) $false % 132.45/73.38 | % 132.45/73.38 |-The branch is then unsatisfiable % 132.45/73.38 |-Branch two: % 132.45/73.38 | (929) all_229_0_226 = 0 & mem(all_137_1_87, all_0_3_3) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (929) yields: % 132.45/73.38 | (923) all_229_0_226 = 0 % 132.45/73.38 | (303) mem(all_137_1_87, all_0_3_3) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_137_1_87, all_0_3_3) = 0, yields: % 132.45/73.38 | (304) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_4_4) = 0)) % 132.45/73.38 | % 132.45/73.38 | Instantiating (304) with all_297_0_233 yields: % 132.45/73.38 | (933) (all_297_0_233 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (all_297_0_233 = 0 & mem(all_137_1_87, all_0_4_4) = 0) % 132.45/73.38 | % 132.45/73.38 +-Applying beta-rule and splitting (909), into two cases. % 132.45/73.38 |-Branch one: % 132.45/73.38 | (934) all_254_0_230 = 0 & mem(all_183_1_101, all_57_0_60) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (934) yields: % 132.45/73.38 | (935) all_254_0_230 = 0 % 132.45/73.38 | (308) mem(all_183_1_101, all_57_0_60) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_183_1_101 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_183_1_101, all_57_0_60) = 0, yields: % 132.45/73.38 | (309) all_183_1_101 = all_0_1_1 % 132.45/73.38 | % 132.45/73.38 | From (309) and (263) follows: % 132.45/73.38 | (926) mem(all_0_1_1, all_76_1_69) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (31) with all_0_1_1, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_1_1, all_76_1_69) = all_112_0_80, mem(all_0_1_1, all_76_1_69) = 0, yields: % 132.45/73.38 | (231) all_112_0_80 = 0 % 132.45/73.38 | % 132.45/73.38 | Equations (231) can reduce 207 to: % 132.45/73.38 | (173) $false % 132.45/73.38 | % 132.45/73.38 |-The branch is then unsatisfiable % 132.45/73.38 |-Branch two: % 132.45/73.38 | (941) all_254_0_230 = 0 & mem(all_183_1_101, all_0_3_3) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (941) yields: % 132.45/73.38 | (935) all_254_0_230 = 0 % 132.45/73.38 | (315) mem(all_183_1_101, all_0_3_3) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_183_1_101, all_0_3_3) = 0, yields: % 132.45/73.38 | (316) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_4_4) = 0)) % 132.45/73.38 | % 132.45/73.38 | Instantiating (316) with all_305_0_234 yields: % 132.45/73.38 | (945) (all_305_0_234 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (all_305_0_234 = 0 & mem(all_183_1_101, all_0_4_4) = 0) % 132.45/73.38 | % 132.45/73.38 +-Applying beta-rule and splitting (911), into two cases. % 132.45/73.38 |-Branch one: % 132.45/73.38 | (946) all_261_0_231 = 0 & mem(all_167_2_96, all_57_0_60) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (946) yields: % 132.45/73.38 | (947) all_261_0_231 = 0 % 132.45/73.38 | (320) mem(all_167_2_96, all_57_0_60) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_167_2_96 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_167_2_96, all_57_0_60) = 0, yields: % 132.45/73.38 | (321) all_167_2_96 = all_0_1_1 % 132.45/73.38 | % 132.45/73.38 | From (321) and (272) follows: % 132.45/73.38 | (926) mem(all_0_1_1, all_76_1_69) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (31) with all_0_1_1, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_1_1, all_76_1_69) = all_112_0_80, mem(all_0_1_1, all_76_1_69) = 0, yields: % 132.45/73.38 | (231) all_112_0_80 = 0 % 132.45/73.38 | % 132.45/73.38 | Equations (231) can reduce 207 to: % 132.45/73.38 | (173) $false % 132.45/73.38 | % 132.45/73.38 |-The branch is then unsatisfiable % 132.45/73.38 |-Branch two: % 132.45/73.38 | (953) all_261_0_231 = 0 & mem(all_167_2_96, all_0_3_3) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (953) yields: % 132.45/73.38 | (947) all_261_0_231 = 0 % 132.45/73.38 | (327) mem(all_167_2_96, all_0_3_3) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_167_2_96, all_0_3_3) = 0, yields: % 132.45/73.38 | (328) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_4_4) = 0)) % 132.45/73.38 | % 132.45/73.38 | Instantiating (328) with all_313_0_235 yields: % 132.45/73.38 | (957) (all_313_0_235 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (all_313_0_235 = 0 & mem(all_167_2_96, all_0_4_4) = 0) % 132.45/73.38 | % 132.45/73.38 +-Applying beta-rule and splitting (933), into two cases. % 132.45/73.38 |-Branch one: % 132.45/73.38 | (958) all_297_0_233 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (958) yields: % 132.45/73.38 | (959) all_297_0_233 = 0 % 132.45/73.38 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 132.45/73.38 | (338) all_137_1_87 = all_0_4_4 % 132.45/73.38 | % 132.45/73.38 | From (338) and (239) follows: % 132.45/73.38 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.45/73.38 | (210) all_87_0_72 = 0 % 132.45/73.38 | % 132.45/73.38 | Equations (210) can reduce 181 to: % 132.45/73.38 | (173) $false % 132.45/73.38 | % 132.45/73.38 |-The branch is then unsatisfiable % 132.45/73.38 |-Branch two: % 132.45/73.38 | (965) all_297_0_233 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (965) yields: % 132.45/73.38 | (959) all_297_0_233 = 0 % 132.45/73.38 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 132.45/73.38 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 132.45/73.38 | % 132.45/73.38 | Instantiating (345) with all_329_0_237 yields: % 132.45/73.38 | (969) (all_329_0_237 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_329_0_237 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 132.45/73.38 | % 132.45/73.38 +-Applying beta-rule and splitting (945), into two cases. % 132.45/73.38 |-Branch one: % 132.45/73.38 | (970) all_305_0_234 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (970) yields: % 132.45/73.38 | (971) all_305_0_234 = 0 % 132.45/73.38 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.45/73.38 | (350) all_183_1_101 = all_0_4_4 % 132.45/73.38 | % 132.45/73.38 | From (350) and (271) follows: % 132.45/73.38 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.45/73.38 | (210) all_87_0_72 = 0 % 132.45/73.38 | % 132.45/73.38 | Equations (210) can reduce 181 to: % 132.45/73.38 | (173) $false % 132.45/73.38 | % 132.45/73.38 |-The branch is then unsatisfiable % 132.45/73.38 |-Branch two: % 132.45/73.38 | (977) all_305_0_234 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (977) yields: % 132.45/73.38 | (971) all_305_0_234 = 0 % 132.45/73.38 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.45/73.38 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.45/73.38 | % 132.45/73.38 | Instantiating (357) with all_337_0_238 yields: % 132.45/73.38 | (981) (all_337_0_238 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_337_0_238 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.45/73.38 | % 132.45/73.38 +-Applying beta-rule and splitting (957), into two cases. % 132.45/73.38 |-Branch one: % 132.45/73.38 | (982) all_313_0_235 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (982) yields: % 132.45/73.38 | (983) all_313_0_235 = 0 % 132.45/73.38 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.45/73.38 | (362) all_167_2_96 = all_0_4_4 % 132.45/73.38 | % 132.45/73.38 | From (362) and (276) follows: % 132.45/73.38 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.45/73.38 | (210) all_87_0_72 = 0 % 132.45/73.38 | % 132.45/73.38 | Equations (210) can reduce 181 to: % 132.45/73.38 | (173) $false % 132.45/73.38 | % 132.45/73.38 |-The branch is then unsatisfiable % 132.45/73.38 |-Branch two: % 132.45/73.38 | (989) all_313_0_235 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (989) yields: % 132.45/73.38 | (983) all_313_0_235 = 0 % 132.45/73.38 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.45/73.38 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.45/73.38 | % 132.45/73.38 | Instantiating (369) with all_345_0_239 yields: % 132.45/73.38 | (993) (all_345_0_239 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_345_0_239 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.45/73.38 | % 132.45/73.38 +-Applying beta-rule and splitting (969), into two cases. % 132.45/73.38 |-Branch one: % 132.45/73.38 | (994) all_329_0_237 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (994) yields: % 132.45/73.38 | (995) all_329_0_237 = 0 % 132.45/73.38 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.45/73.38 | (374) all_137_1_87 = all_0_5_5 % 132.45/73.38 | % 132.45/73.38 | From (374) and (229) follows: % 132.45/73.38 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 132.45/73.38 | % 132.45/73.38 +-Applying beta-rule and splitting (981), into two cases. % 132.45/73.38 |-Branch one: % 132.45/73.38 | (999) all_337_0_238 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (999) yields: % 132.45/73.38 | (1000) all_337_0_238 = 0 % 132.45/73.38 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.45/73.38 | (379) all_183_1_101 = all_0_5_5 % 132.45/73.38 | % 132.45/73.38 | From (379) and (258) follows: % 132.45/73.38 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 132.45/73.38 | (259) all_137_0_86 = 0 % 132.45/73.38 | % 132.45/73.38 | Equations (259) can reduce 228 to: % 132.45/73.38 | (173) $false % 132.45/73.38 | % 132.45/73.38 |-The branch is then unsatisfiable % 132.45/73.38 |-Branch two: % 132.45/73.38 | (1006) all_337_0_238 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (1006) yields: % 132.45/73.38 | (1000) all_337_0_238 = 0 % 132.45/73.38 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.45/73.38 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.45/73.38 | % 132.45/73.38 | Instantiating (386) with all_372_0_241 yields: % 132.45/73.38 | (1010) (all_372_0_241 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_372_0_241 = 0 & mem(all_183_1_101, e) = 0) % 132.45/73.38 | % 132.45/73.38 +-Applying beta-rule and splitting (993), into two cases. % 132.45/73.38 |-Branch one: % 132.45/73.38 | (1011) all_345_0_239 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.38 | % 132.45/73.38 | Applying alpha-rule on (1011) yields: % 132.45/73.38 | (1012) all_345_0_239 = 0 % 132.45/73.38 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.38 | % 132.45/73.38 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.39 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.39 | % 132.45/73.39 | From (391) and (264) follows: % 132.45/73.39 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 132.45/73.39 | (259) all_137_0_86 = 0 % 132.45/73.39 | % 132.45/73.39 | Equations (259) can reduce 228 to: % 132.45/73.39 | (173) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1018) all_345_0_239 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1018) yields: % 132.45/73.39 | (1012) all_345_0_239 = 0 % 132.45/73.39 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.39 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.39 | % 132.45/73.39 | Instantiating (398) with all_380_0_242 yields: % 132.45/73.39 | (1022) (all_380_0_242 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_242 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (1010), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (1023) all_372_0_241 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1023) yields: % 132.45/73.39 | (1024) all_372_0_241 = 0 % 132.45/73.39 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.45/73.39 | (403) all_183_1_101 = e % 132.45/73.39 | % 132.45/73.39 | From (403) and (257) follows: % 132.45/73.39 | (404) mem(e, all_131_1_85) = all_183_0_100 % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (1022), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (1028) all_380_0_242 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1028) yields: % 132.45/73.39 | (1029) all_380_0_242 = 0 % 132.45/73.39 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.39 | (408) all_167_2_96 = e % 132.45/73.39 | % 132.45/73.39 | From (408) and (246) follows: % 132.45/73.39 | (409) mem(e, all_131_1_85) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (31) with e, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(e, all_131_1_85) = all_183_0_100, mem(e, all_131_1_85) = 0, yields: % 132.45/73.39 | (410) all_183_0_100 = 0 % 132.45/73.39 | % 132.45/73.39 | Equations (410) can reduce 256 to: % 132.45/73.39 | (173) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1035) all_380_0_242 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1035) yields: % 132.45/73.39 | (1029) all_380_0_242 = 0 % 132.45/73.39 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.39 | (415) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1039) all_372_0_241 = 0 & mem(all_183_1_101, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1039) yields: % 132.45/73.39 | (1024) all_372_0_241 = 0 % 132.45/73.39 | (418) mem(all_183_1_101, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.45/73.39 | (415) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1043) all_329_0_237 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1043) yields: % 132.45/73.39 | (995) all_329_0_237 = 0 % 132.45/73.39 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.45/73.39 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.45/73.39 | % 132.45/73.39 | Instantiating (423) with all_361_0_244 yields: % 132.45/73.39 | (1047) (all_361_0_244 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_361_0_244 = 0 & mem(all_137_1_87, e) = 0) % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (981), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (999) all_337_0_238 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (999) yields: % 132.45/73.39 | (1000) all_337_0_238 = 0 % 132.45/73.39 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.45/73.39 | (379) all_183_1_101 = all_0_5_5 % 132.45/73.39 | % 132.45/73.39 | From (379) and (257) follows: % 132.45/73.39 | (429) mem(all_0_5_5, all_131_1_85) = all_183_0_100 % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (993), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (1011) all_345_0_239 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1011) yields: % 132.45/73.39 | (1012) all_345_0_239 = 0 % 132.45/73.39 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.39 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.39 | % 132.45/73.39 | From (391) and (246) follows: % 132.45/73.39 | (434) mem(all_0_5_5, all_131_1_85) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (31) with all_0_5_5, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_5_5, all_131_1_85) = all_183_0_100, mem(all_0_5_5, all_131_1_85) = 0, yields: % 132.45/73.39 | (410) all_183_0_100 = 0 % 132.45/73.39 | % 132.45/73.39 | Equations (410) can reduce 256 to: % 132.45/73.39 | (173) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1018) all_345_0_239 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1018) yields: % 132.45/73.39 | (1012) all_345_0_239 = 0 % 132.45/73.39 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.39 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.39 | % 132.45/73.39 | Instantiating (398) with all_380_0_245 yields: % 132.45/73.39 | (1064) (all_380_0_245 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_245 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (1047), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (1065) all_361_0_244 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1065) yields: % 132.45/73.39 | (1066) all_361_0_244 = 0 % 132.45/73.39 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.39 | (445) all_137_1_87 = e % 132.45/73.39 | % 132.45/73.39 | From (445) and (229) follows: % 132.45/73.39 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (1064), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (1070) all_380_0_245 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1070) yields: % 132.45/73.39 | (1071) all_380_0_245 = 0 % 132.45/73.39 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.39 | (408) all_167_2_96 = e % 132.45/73.39 | % 132.45/73.39 | From (408) and (264) follows: % 132.45/73.39 | (451) mem(e, all_101_1_77) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.45/73.39 | (259) all_137_0_86 = 0 % 132.45/73.39 | % 132.45/73.39 | Equations (259) can reduce 228 to: % 132.45/73.39 | (173) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1077) all_380_0_245 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1077) yields: % 132.45/73.39 | (1071) all_380_0_245 = 0 % 132.45/73.39 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.39 | (415) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1081) all_361_0_244 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1081) yields: % 132.45/73.39 | (1066) all_361_0_244 = 0 % 132.45/73.39 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.39 | (415) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1006) all_337_0_238 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1006) yields: % 132.45/73.39 | (1000) all_337_0_238 = 0 % 132.45/73.39 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.45/73.39 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.45/73.39 | % 132.45/73.39 | Instantiating (386) with all_369_0_247 yields: % 132.45/73.39 | (1089) (all_369_0_247 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_369_0_247 = 0 & mem(all_183_1_101, e) = 0) % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (1047), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (1065) all_361_0_244 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1065) yields: % 132.45/73.39 | (1066) all_361_0_244 = 0 % 132.45/73.39 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.39 | (445) all_137_1_87 = e % 132.45/73.39 | % 132.45/73.39 | From (445) and (229) follows: % 132.45/73.39 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (1089), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (1095) all_369_0_247 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1095) yields: % 132.45/73.39 | (1096) all_369_0_247 = 0 % 132.45/73.39 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.45/73.39 | (403) all_183_1_101 = e % 132.45/73.39 | % 132.45/73.39 | From (403) and (258) follows: % 132.45/73.39 | (451) mem(e, all_101_1_77) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.45/73.39 | (259) all_137_0_86 = 0 % 132.45/73.39 | % 132.45/73.39 | Equations (259) can reduce 228 to: % 132.45/73.39 | (173) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1102) all_369_0_247 = 0 & mem(all_183_1_101, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1102) yields: % 132.45/73.39 | (1096) all_369_0_247 = 0 % 132.45/73.39 | (418) mem(all_183_1_101, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.45/73.39 | (415) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1081) all_361_0_244 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1081) yields: % 132.45/73.39 | (1066) all_361_0_244 = 0 % 132.45/73.39 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.39 | (415) $false % 132.45/73.39 | % 132.45/73.39 |-The branch is then unsatisfiable % 132.45/73.39 |-Branch two: % 132.45/73.39 | (1110) all_228_0_225 = 0 & mem(all_87_1_73, all_0_4_4) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (1110) yields: % 132.45/73.39 | (918) all_228_0_225 = 0 % 132.45/73.39 | (1112) mem(all_87_1_73, all_0_4_4) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_87_1_73, all_0_4_4) = 0, yields: % 132.45/73.39 | (1113) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_0_2_2) = 0) | (v0 = 0 & mem(all_87_1_73, all_0_5_5) = 0)) % 132.45/73.39 | % 132.45/73.39 | Instantiating (1113) with all_286_0_261 yields: % 132.45/73.39 | (1114) (all_286_0_261 = 0 & mem(all_87_1_73, all_0_2_2) = 0) | (all_286_0_261 = 0 & mem(all_87_1_73, all_0_5_5) = 0) % 132.45/73.39 | % 132.45/73.39 +-Applying beta-rule and splitting (904), into two cases. % 132.45/73.39 |-Branch one: % 132.45/73.39 | (922) all_229_0_226 = 0 & mem(all_137_1_87, all_57_0_60) = 0 % 132.45/73.39 | % 132.45/73.39 | Applying alpha-rule on (922) yields: % 132.45/73.39 | (923) all_229_0_226 = 0 % 132.45/73.39 | (296) mem(all_137_1_87, all_57_0_60) = 0 % 132.45/73.39 | % 132.45/73.39 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_137_1_87 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_137_1_87, all_57_0_60) = 0, yields: % 132.45/73.40 | (297) all_137_1_87 = all_0_1_1 % 132.45/73.40 | % 132.45/73.40 | From (297) and (230) follows: % 132.45/73.40 | (926) mem(all_0_1_1, all_76_1_69) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (31) with all_0_1_1, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_1_1, all_76_1_69) = all_112_0_80, mem(all_0_1_1, all_76_1_69) = 0, yields: % 132.45/73.40 | (231) all_112_0_80 = 0 % 132.45/73.40 | % 132.45/73.40 | Equations (231) can reduce 207 to: % 132.45/73.40 | (173) $false % 132.45/73.40 | % 132.45/73.40 |-The branch is then unsatisfiable % 132.45/73.40 |-Branch two: % 132.45/73.40 | (929) all_229_0_226 = 0 & mem(all_137_1_87, all_0_3_3) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (929) yields: % 132.45/73.40 | (923) all_229_0_226 = 0 % 132.45/73.40 | (303) mem(all_137_1_87, all_0_3_3) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_137_1_87, all_0_3_3) = 0, yields: % 132.45/73.40 | (304) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_4_4) = 0)) % 132.45/73.40 | % 132.45/73.40 | Instantiating (304) with all_294_0_262 yields: % 132.45/73.40 | (1126) (all_294_0_262 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (all_294_0_262 = 0 & mem(all_137_1_87, all_0_4_4) = 0) % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (909), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (934) all_254_0_230 = 0 & mem(all_183_1_101, all_57_0_60) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (934) yields: % 132.45/73.40 | (935) all_254_0_230 = 0 % 132.45/73.40 | (308) mem(all_183_1_101, all_57_0_60) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_183_1_101 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_183_1_101, all_57_0_60) = 0, yields: % 132.45/73.40 | (309) all_183_1_101 = all_0_1_1 % 132.45/73.40 | % 132.45/73.40 | From (309) and (263) follows: % 132.45/73.40 | (926) mem(all_0_1_1, all_76_1_69) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (31) with all_0_1_1, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_1_1, all_76_1_69) = all_112_0_80, mem(all_0_1_1, all_76_1_69) = 0, yields: % 132.45/73.40 | (231) all_112_0_80 = 0 % 132.45/73.40 | % 132.45/73.40 | Equations (231) can reduce 207 to: % 132.45/73.40 | (173) $false % 132.45/73.40 | % 132.45/73.40 |-The branch is then unsatisfiable % 132.45/73.40 |-Branch two: % 132.45/73.40 | (941) all_254_0_230 = 0 & mem(all_183_1_101, all_0_3_3) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (941) yields: % 132.45/73.40 | (935) all_254_0_230 = 0 % 132.45/73.40 | (315) mem(all_183_1_101, all_0_3_3) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_183_1_101, all_0_3_3) = 0, yields: % 132.45/73.40 | (316) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_4_4) = 0)) % 132.45/73.40 | % 132.45/73.40 | Instantiating (316) with all_302_0_263 yields: % 132.45/73.40 | (1138) (all_302_0_263 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (all_302_0_263 = 0 & mem(all_183_1_101, all_0_4_4) = 0) % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (911), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (946) all_261_0_231 = 0 & mem(all_167_2_96, all_57_0_60) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (946) yields: % 132.45/73.40 | (947) all_261_0_231 = 0 % 132.45/73.40 | (320) mem(all_167_2_96, all_57_0_60) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_167_2_96 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_167_2_96, all_57_0_60) = 0, yields: % 132.45/73.40 | (321) all_167_2_96 = all_0_1_1 % 132.45/73.40 | % 132.45/73.40 | From (321) and (272) follows: % 132.45/73.40 | (926) mem(all_0_1_1, all_76_1_69) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (31) with all_0_1_1, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_1_1, all_76_1_69) = all_112_0_80, mem(all_0_1_1, all_76_1_69) = 0, yields: % 132.45/73.40 | (231) all_112_0_80 = 0 % 132.45/73.40 | % 132.45/73.40 | Equations (231) can reduce 207 to: % 132.45/73.40 | (173) $false % 132.45/73.40 | % 132.45/73.40 |-The branch is then unsatisfiable % 132.45/73.40 |-Branch two: % 132.45/73.40 | (953) all_261_0_231 = 0 & mem(all_167_2_96, all_0_3_3) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (953) yields: % 132.45/73.40 | (947) all_261_0_231 = 0 % 132.45/73.40 | (327) mem(all_167_2_96, all_0_3_3) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_167_2_96, all_0_3_3) = 0, yields: % 132.45/73.40 | (328) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_4_4) = 0)) % 132.45/73.40 | % 132.45/73.40 | Instantiating (328) with all_310_0_264 yields: % 132.45/73.40 | (1150) (all_310_0_264 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (all_310_0_264 = 0 & mem(all_167_2_96, all_0_4_4) = 0) % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (1114), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (1151) all_286_0_261 = 0 & mem(all_87_1_73, all_0_2_2) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1151) yields: % 132.45/73.40 | (1152) all_286_0_261 = 0 % 132.45/73.40 | (1153) mem(all_87_1_73, all_0_2_2) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_87_1_73, all_0_2_2) = 0, yields: % 132.45/73.40 | (1154) all_87_1_73 = all_0_5_5 % 132.45/73.40 | % 132.45/73.40 | From (1154) and (182) follows: % 132.45/73.40 | (1155) mem(all_0_5_5, all_59_1_62) = all_87_0_72 % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (1126), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (1156) all_294_0_262 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1156) yields: % 132.45/73.40 | (1157) all_294_0_262 = 0 % 132.45/73.40 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 132.45/73.40 | (338) all_137_1_87 = all_0_4_4 % 132.45/73.40 | % 132.45/73.40 | From (338) and (229) follows: % 132.45/73.40 | (496) mem(all_0_4_4, all_101_1_77) = all_137_0_86 % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (1138), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (1161) all_302_0_263 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1161) yields: % 132.45/73.40 | (1162) all_302_0_263 = 0 % 132.45/73.40 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.45/73.40 | (350) all_183_1_101 = all_0_4_4 % 132.45/73.40 | % 132.45/73.40 | From (350) and (258) follows: % 132.45/73.40 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 132.45/73.40 | (259) all_137_0_86 = 0 % 132.45/73.40 | % 132.45/73.40 | Equations (259) can reduce 228 to: % 132.45/73.40 | (173) $false % 132.45/73.40 | % 132.45/73.40 |-The branch is then unsatisfiable % 132.45/73.40 |-Branch two: % 132.45/73.40 | (1168) all_302_0_263 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1168) yields: % 132.45/73.40 | (1162) all_302_0_263 = 0 % 132.45/73.40 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.45/73.40 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.45/73.40 | % 132.45/73.40 | Instantiating (357) with all_348_0_266 yields: % 132.45/73.40 | (1172) (all_348_0_266 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_348_0_266 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (1150), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (1173) all_310_0_264 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1173) yields: % 132.45/73.40 | (1174) all_310_0_264 = 0 % 132.45/73.40 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.45/73.40 | (362) all_167_2_96 = all_0_4_4 % 132.45/73.40 | % 132.45/73.40 | From (362) and (264) follows: % 132.45/73.40 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 132.45/73.40 | (259) all_137_0_86 = 0 % 132.45/73.40 | % 132.45/73.40 | Equations (259) can reduce 228 to: % 132.45/73.40 | (173) $false % 132.45/73.40 | % 132.45/73.40 |-The branch is then unsatisfiable % 132.45/73.40 |-Branch two: % 132.45/73.40 | (1180) all_310_0_264 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1180) yields: % 132.45/73.40 | (1174) all_310_0_264 = 0 % 132.45/73.40 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.45/73.40 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.45/73.40 | % 132.45/73.40 | Instantiating (369) with all_356_0_267 yields: % 132.45/73.40 | (1184) (all_356_0_267 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_356_0_267 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (1172), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (1185) all_348_0_266 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1185) yields: % 132.45/73.40 | (1186) all_348_0_266 = 0 % 132.45/73.40 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.45/73.40 | (379) all_183_1_101 = all_0_5_5 % 132.45/73.40 | % 132.45/73.40 | From (379) and (271) follows: % 132.45/73.40 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 132.45/73.40 | (210) all_87_0_72 = 0 % 132.45/73.40 | % 132.45/73.40 | Equations (210) can reduce 181 to: % 132.45/73.40 | (173) $false % 132.45/73.40 | % 132.45/73.40 |-The branch is then unsatisfiable % 132.45/73.40 |-Branch two: % 132.45/73.40 | (1192) all_348_0_266 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1192) yields: % 132.45/73.40 | (1186) all_348_0_266 = 0 % 132.45/73.40 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.45/73.40 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.45/73.40 | % 132.45/73.40 | Instantiating (386) with all_372_0_269 yields: % 132.45/73.40 | (1196) (all_372_0_269 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_372_0_269 = 0 & mem(all_183_1_101, e) = 0) % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (1184), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (1197) all_356_0_267 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1197) yields: % 132.45/73.40 | (1198) all_356_0_267 = 0 % 132.45/73.40 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.40 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.40 | % 132.45/73.40 | From (391) and (276) follows: % 132.45/73.40 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 132.45/73.40 | (210) all_87_0_72 = 0 % 132.45/73.40 | % 132.45/73.40 | Equations (210) can reduce 181 to: % 132.45/73.40 | (173) $false % 132.45/73.40 | % 132.45/73.40 |-The branch is then unsatisfiable % 132.45/73.40 |-Branch two: % 132.45/73.40 | (1204) all_356_0_267 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1204) yields: % 132.45/73.40 | (1198) all_356_0_267 = 0 % 132.45/73.40 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.40 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.40 | % 132.45/73.40 | Instantiating (398) with all_380_0_270 yields: % 132.45/73.40 | (1208) (all_380_0_270 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_270 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.40 | % 132.45/73.40 +-Applying beta-rule and splitting (1196), into two cases. % 132.45/73.40 |-Branch one: % 132.45/73.40 | (1209) all_372_0_269 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.40 | % 132.45/73.40 | Applying alpha-rule on (1209) yields: % 132.45/73.40 | (1210) all_372_0_269 = 0 % 132.45/73.40 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.45/73.40 | % 132.45/73.40 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.45/73.40 | (403) all_183_1_101 = e % 132.45/73.40 | % 132.45/73.40 | From (403) and (257) follows: % 132.45/73.41 | (404) mem(e, all_131_1_85) = all_183_0_100 % 132.45/73.41 | % 132.45/73.41 +-Applying beta-rule and splitting (1208), into two cases. % 132.45/73.41 |-Branch one: % 132.45/73.41 | (1214) all_380_0_270 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1214) yields: % 132.45/73.41 | (1215) all_380_0_270 = 0 % 132.45/73.41 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.41 | (408) all_167_2_96 = e % 132.45/73.41 | % 132.45/73.41 | From (408) and (246) follows: % 132.45/73.41 | (409) mem(e, all_131_1_85) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (31) with e, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(e, all_131_1_85) = all_183_0_100, mem(e, all_131_1_85) = 0, yields: % 132.45/73.41 | (410) all_183_0_100 = 0 % 132.45/73.41 | % 132.45/73.41 | Equations (410) can reduce 256 to: % 132.45/73.41 | (173) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1221) all_380_0_270 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1221) yields: % 132.45/73.41 | (1215) all_380_0_270 = 0 % 132.45/73.41 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.41 | (415) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1225) all_372_0_269 = 0 & mem(all_183_1_101, e) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1225) yields: % 132.45/73.41 | (1210) all_372_0_269 = 0 % 132.45/73.41 | (418) mem(all_183_1_101, e) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.45/73.41 | (415) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1229) all_294_0_262 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1229) yields: % 132.45/73.41 | (1157) all_294_0_262 = 0 % 132.45/73.41 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 132.45/73.41 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 132.45/73.41 | % 132.45/73.41 | Instantiating (345) with all_337_0_272 yields: % 132.45/73.41 | (1233) (all_337_0_272 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_337_0_272 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 132.45/73.41 | % 132.45/73.41 +-Applying beta-rule and splitting (1138), into two cases. % 132.45/73.41 |-Branch one: % 132.45/73.41 | (1161) all_302_0_263 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1161) yields: % 132.45/73.41 | (1162) all_302_0_263 = 0 % 132.45/73.41 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.45/73.41 | (350) all_183_1_101 = all_0_4_4 % 132.45/73.41 | % 132.45/73.41 | From (350) and (257) follows: % 132.45/73.41 | (646) mem(all_0_4_4, all_131_1_85) = all_183_0_100 % 132.45/73.41 | % 132.45/73.41 +-Applying beta-rule and splitting (1150), into two cases. % 132.45/73.41 |-Branch one: % 132.45/73.41 | (1173) all_310_0_264 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1173) yields: % 132.45/73.41 | (1174) all_310_0_264 = 0 % 132.45/73.41 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.45/73.41 | (362) all_167_2_96 = all_0_4_4 % 132.45/73.41 | % 132.45/73.41 | From (362) and (246) follows: % 132.45/73.41 | (651) mem(all_0_4_4, all_131_1_85) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (31) with all_0_4_4, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_4_4, all_131_1_85) = all_183_0_100, mem(all_0_4_4, all_131_1_85) = 0, yields: % 132.45/73.41 | (410) all_183_0_100 = 0 % 132.45/73.41 | % 132.45/73.41 | Equations (410) can reduce 256 to: % 132.45/73.41 | (173) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1180) all_310_0_264 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1180) yields: % 132.45/73.41 | (1174) all_310_0_264 = 0 % 132.45/73.41 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.45/73.41 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.45/73.41 | % 132.45/73.41 | Instantiating (369) with all_356_0_273 yields: % 132.45/73.41 | (1250) (all_356_0_273 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_356_0_273 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.45/73.41 | % 132.45/73.41 +-Applying beta-rule and splitting (1233), into two cases. % 132.45/73.41 |-Branch one: % 132.45/73.41 | (1251) all_337_0_272 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1251) yields: % 132.45/73.41 | (1252) all_337_0_272 = 0 % 132.45/73.41 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.45/73.41 | (374) all_137_1_87 = all_0_5_5 % 132.45/73.41 | % 132.45/73.41 | From (374) and (239) follows: % 132.45/73.41 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 132.45/73.41 | (210) all_87_0_72 = 0 % 132.45/73.41 | % 132.45/73.41 | Equations (210) can reduce 181 to: % 132.45/73.41 | (173) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1258) all_337_0_272 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1258) yields: % 132.45/73.41 | (1252) all_337_0_272 = 0 % 132.45/73.41 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.45/73.41 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.45/73.41 | % 132.45/73.41 | Instantiating (423) with all_372_0_275 yields: % 132.45/73.41 | (1262) (all_372_0_275 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_372_0_275 = 0 & mem(all_137_1_87, e) = 0) % 132.45/73.41 | % 132.45/73.41 +-Applying beta-rule and splitting (1250), into two cases. % 132.45/73.41 |-Branch one: % 132.45/73.41 | (1263) all_356_0_273 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1263) yields: % 132.45/73.41 | (1264) all_356_0_273 = 0 % 132.45/73.41 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.45/73.41 | (391) all_167_2_96 = all_0_5_5 % 132.45/73.41 | % 132.45/73.41 | From (391) and (276) follows: % 132.45/73.41 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 132.45/73.41 | (210) all_87_0_72 = 0 % 132.45/73.41 | % 132.45/73.41 | Equations (210) can reduce 181 to: % 132.45/73.41 | (173) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1270) all_356_0_273 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1270) yields: % 132.45/73.41 | (1264) all_356_0_273 = 0 % 132.45/73.41 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.45/73.41 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.45/73.41 | % 132.45/73.41 | Instantiating (398) with all_380_0_276 yields: % 132.45/73.41 | (1274) (all_380_0_276 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_276 = 0 & mem(all_167_2_96, e) = 0) % 132.45/73.41 | % 132.45/73.41 +-Applying beta-rule and splitting (1262), into two cases. % 132.45/73.41 |-Branch one: % 132.45/73.41 | (1275) all_372_0_275 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1275) yields: % 132.45/73.41 | (1276) all_372_0_275 = 0 % 132.45/73.41 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.45/73.41 | (445) all_137_1_87 = e % 132.45/73.41 | % 132.45/73.41 | From (445) and (229) follows: % 132.45/73.41 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.45/73.41 | % 132.45/73.41 +-Applying beta-rule and splitting (1274), into two cases. % 132.45/73.41 |-Branch one: % 132.45/73.41 | (1280) all_380_0_276 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1280) yields: % 132.45/73.41 | (1281) all_380_0_276 = 0 % 132.45/73.41 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.45/73.41 | (408) all_167_2_96 = e % 132.45/73.41 | % 132.45/73.41 | From (408) and (264) follows: % 132.45/73.41 | (451) mem(e, all_101_1_77) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.45/73.41 | (259) all_137_0_86 = 0 % 132.45/73.41 | % 132.45/73.41 | Equations (259) can reduce 228 to: % 132.45/73.41 | (173) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1287) all_380_0_276 = 0 & mem(all_167_2_96, e) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1287) yields: % 132.45/73.41 | (1281) all_380_0_276 = 0 % 132.45/73.41 | (414) mem(all_167_2_96, e) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.45/73.41 | (415) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1291) all_372_0_275 = 0 & mem(all_137_1_87, e) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1291) yields: % 132.45/73.41 | (1276) all_372_0_275 = 0 % 132.45/73.41 | (460) mem(all_137_1_87, e) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.45/73.41 | (415) $false % 132.45/73.41 | % 132.45/73.41 |-The branch is then unsatisfiable % 132.45/73.41 |-Branch two: % 132.45/73.41 | (1168) all_302_0_263 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.41 | % 132.45/73.41 | Applying alpha-rule on (1168) yields: % 132.45/73.41 | (1162) all_302_0_263 = 0 % 132.45/73.41 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.45/73.41 | % 132.45/73.41 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.45/73.41 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.45/73.41 | % 132.45/73.41 | Instantiating (357) with all_345_0_278 yields: % 132.88/73.41 | (1299) (all_345_0_278 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_345_0_278 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.88/73.41 | % 132.88/73.41 +-Applying beta-rule and splitting (1233), into two cases. % 132.88/73.41 |-Branch one: % 132.88/73.41 | (1251) all_337_0_272 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.41 | % 132.88/73.41 | Applying alpha-rule on (1251) yields: % 132.88/73.41 | (1252) all_337_0_272 = 0 % 132.88/73.41 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.41 | % 132.88/73.41 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.88/73.41 | (374) all_137_1_87 = all_0_5_5 % 132.88/73.41 | % 132.88/73.41 | From (374) and (239) follows: % 132.88/73.41 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 132.88/73.41 | % 132.88/73.41 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 132.88/73.41 | (210) all_87_0_72 = 0 % 132.88/73.41 | % 132.88/73.41 | Equations (210) can reduce 181 to: % 132.88/73.41 | (173) $false % 132.88/73.41 | % 132.88/73.41 |-The branch is then unsatisfiable % 132.88/73.41 |-Branch two: % 132.88/73.41 | (1258) all_337_0_272 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.41 | % 132.88/73.41 | Applying alpha-rule on (1258) yields: % 132.88/73.41 | (1252) all_337_0_272 = 0 % 132.88/73.41 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.41 | % 132.88/73.42 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.88/73.42 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.88/73.42 | % 132.88/73.42 | Instantiating (423) with all_394_0_296 yields: % 132.88/73.42 | (1311) (all_394_0_296 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_394_0_296 = 0 & mem(all_137_1_87, e) = 0) % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1299), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1312) all_345_0_278 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1312) yields: % 132.88/73.42 | (1313) all_345_0_278 = 0 % 132.88/73.42 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.88/73.42 | (379) all_183_1_101 = all_0_5_5 % 132.88/73.42 | % 132.88/73.42 | From (379) and (271) follows: % 132.88/73.42 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 132.88/73.42 | (210) all_87_0_72 = 0 % 132.88/73.42 | % 132.88/73.42 | Equations (210) can reduce 181 to: % 132.88/73.42 | (173) $false % 132.88/73.42 | % 132.88/73.42 |-The branch is then unsatisfiable % 132.88/73.42 |-Branch two: % 132.88/73.42 | (1319) all_345_0_278 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1319) yields: % 132.88/73.42 | (1313) all_345_0_278 = 0 % 132.88/73.42 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.88/73.42 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.88/73.42 | % 132.88/73.42 | Instantiating (386) with all_408_0_301 yields: % 132.88/73.42 | (1323) (all_408_0_301 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_408_0_301 = 0 & mem(all_183_1_101, e) = 0) % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1311), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1324) all_394_0_296 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1324) yields: % 132.88/73.42 | (1325) all_394_0_296 = 0 % 132.88/73.42 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.88/73.42 | (445) all_137_1_87 = e % 132.88/73.42 | % 132.88/73.42 | From (445) and (229) follows: % 132.88/73.42 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1323), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1329) all_408_0_301 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1329) yields: % 132.88/73.42 | (1330) all_408_0_301 = 0 % 132.88/73.42 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.88/73.42 | (403) all_183_1_101 = e % 132.88/73.42 | % 132.88/73.42 | From (403) and (258) follows: % 132.88/73.42 | (451) mem(e, all_101_1_77) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.88/73.42 | (259) all_137_0_86 = 0 % 132.88/73.42 | % 132.88/73.42 | Equations (259) can reduce 228 to: % 132.88/73.42 | (173) $false % 132.88/73.42 | % 132.88/73.42 |-The branch is then unsatisfiable % 132.88/73.42 |-Branch two: % 132.88/73.42 | (1336) all_408_0_301 = 0 & mem(all_183_1_101, e) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1336) yields: % 132.88/73.42 | (1330) all_408_0_301 = 0 % 132.88/73.42 | (418) mem(all_183_1_101, e) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.88/73.42 | (415) $false % 132.88/73.42 | % 132.88/73.42 |-The branch is then unsatisfiable % 132.88/73.42 |-Branch two: % 132.88/73.42 | (1340) all_394_0_296 = 0 & mem(all_137_1_87, e) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1340) yields: % 132.88/73.42 | (1325) all_394_0_296 = 0 % 132.88/73.42 | (460) mem(all_137_1_87, e) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.88/73.42 | (415) $false % 132.88/73.42 | % 132.88/73.42 |-The branch is then unsatisfiable % 132.88/73.42 |-Branch two: % 132.88/73.42 | (1344) all_286_0_261 = 0 & mem(all_87_1_73, all_0_5_5) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1344) yields: % 132.88/73.42 | (1152) all_286_0_261 = 0 % 132.88/73.42 | (1346) mem(all_87_1_73, all_0_5_5) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_87_1_73 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_87_1_73, all_0_5_5) = 0, yields: % 132.88/73.42 | (1347) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (v0 = 0 & mem(all_87_1_73, e) = 0)) % 132.88/73.42 | % 132.88/73.42 | Instantiating (1347) with all_326_0_303 yields: % 132.88/73.42 | (1348) (all_326_0_303 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (all_326_0_303 = 0 & mem(all_87_1_73, e) = 0) % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1126), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1156) all_294_0_262 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1156) yields: % 132.88/73.42 | (1157) all_294_0_262 = 0 % 132.88/73.42 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 132.88/73.42 | (338) all_137_1_87 = all_0_4_4 % 132.88/73.42 | % 132.88/73.42 | From (338) and (229) follows: % 132.88/73.42 | (496) mem(all_0_4_4, all_101_1_77) = all_137_0_86 % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1138), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1161) all_302_0_263 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1161) yields: % 132.88/73.42 | (1162) all_302_0_263 = 0 % 132.88/73.42 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.88/73.42 | (350) all_183_1_101 = all_0_4_4 % 132.88/73.42 | % 132.88/73.42 | From (350) and (258) follows: % 132.88/73.42 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 132.88/73.42 | (259) all_137_0_86 = 0 % 132.88/73.42 | % 132.88/73.42 | Equations (259) can reduce 228 to: % 132.88/73.42 | (173) $false % 132.88/73.42 | % 132.88/73.42 |-The branch is then unsatisfiable % 132.88/73.42 |-Branch two: % 132.88/73.42 | (1168) all_302_0_263 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1168) yields: % 132.88/73.42 | (1162) all_302_0_263 = 0 % 132.88/73.42 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.88/73.42 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.88/73.42 | % 132.88/73.42 | Instantiating (357) with all_345_0_304 yields: % 132.88/73.42 | (1365) (all_345_0_304 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_345_0_304 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1150), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1173) all_310_0_264 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1173) yields: % 132.88/73.42 | (1174) all_310_0_264 = 0 % 132.88/73.42 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.88/73.42 | (362) all_167_2_96 = all_0_4_4 % 132.88/73.42 | % 132.88/73.42 | From (362) and (264) follows: % 132.88/73.42 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 132.88/73.42 | (259) all_137_0_86 = 0 % 132.88/73.42 | % 132.88/73.42 | Equations (259) can reduce 228 to: % 132.88/73.42 | (173) $false % 132.88/73.42 | % 132.88/73.42 |-The branch is then unsatisfiable % 132.88/73.42 |-Branch two: % 132.88/73.42 | (1180) all_310_0_264 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1180) yields: % 132.88/73.42 | (1174) all_310_0_264 = 0 % 132.88/73.42 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.88/73.42 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.88/73.42 | % 132.88/73.42 | Instantiating (369) with all_353_0_305 yields: % 132.88/73.42 | (1377) (all_353_0_305 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_353_0_305 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1348), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1378) all_326_0_303 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1378) yields: % 132.88/73.42 | (1379) all_326_0_303 = 0 % 132.88/73.42 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 132.88/73.42 | (1381) all_87_1_73 = e % 132.88/73.42 | % 132.88/73.42 | From (1381) and (182) follows: % 132.88/73.42 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1365), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1383) all_345_0_304 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1383) yields: % 132.88/73.42 | (1384) all_345_0_304 = 0 % 132.88/73.42 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.88/73.42 | (379) all_183_1_101 = all_0_5_5 % 132.88/73.42 | % 132.88/73.42 | From (379) and (257) follows: % 132.88/73.42 | (429) mem(all_0_5_5, all_131_1_85) = all_183_0_100 % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1377), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1388) all_353_0_305 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1388) yields: % 132.88/73.42 | (1389) all_353_0_305 = 0 % 132.88/73.42 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.88/73.42 | (391) all_167_2_96 = all_0_5_5 % 132.88/73.42 | % 132.88/73.42 | From (391) and (246) follows: % 132.88/73.42 | (434) mem(all_0_5_5, all_131_1_85) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (31) with all_0_5_5, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_5_5, all_131_1_85) = all_183_0_100, mem(all_0_5_5, all_131_1_85) = 0, yields: % 132.88/73.42 | (410) all_183_0_100 = 0 % 132.88/73.42 | % 132.88/73.42 | Equations (410) can reduce 256 to: % 132.88/73.42 | (173) $false % 132.88/73.42 | % 132.88/73.42 |-The branch is then unsatisfiable % 132.88/73.42 |-Branch two: % 132.88/73.42 | (1395) all_353_0_305 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1395) yields: % 132.88/73.42 | (1389) all_353_0_305 = 0 % 132.88/73.42 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.42 | % 132.88/73.42 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.88/73.42 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.88/73.42 | % 132.88/73.42 | Instantiating (398) with all_391_0_307 yields: % 132.88/73.42 | (1399) (all_391_0_307 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_391_0_307 = 0 & mem(all_167_2_96, e) = 0) % 132.88/73.42 | % 132.88/73.42 +-Applying beta-rule and splitting (1399), into two cases. % 132.88/73.42 |-Branch one: % 132.88/73.42 | (1400) all_391_0_307 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.42 | % 132.88/73.42 | Applying alpha-rule on (1400) yields: % 132.88/73.43 | (1401) all_391_0_307 = 0 % 132.88/73.43 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.88/73.43 | (408) all_167_2_96 = e % 132.88/73.43 | % 132.88/73.43 | From (408) and (276) follows: % 132.88/73.43 | (1404) mem(e, all_59_1_62) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 132.88/73.43 | (210) all_87_0_72 = 0 % 132.88/73.43 | % 132.88/73.43 | Equations (210) can reduce 181 to: % 132.88/73.43 | (173) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1407) all_391_0_307 = 0 & mem(all_167_2_96, e) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1407) yields: % 132.88/73.43 | (1401) all_391_0_307 = 0 % 132.88/73.43 | (414) mem(all_167_2_96, e) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.88/73.43 | (415) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1411) all_345_0_304 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1411) yields: % 132.88/73.43 | (1384) all_345_0_304 = 0 % 132.88/73.43 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.88/73.43 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.88/73.43 | % 132.88/73.43 | Instantiating (386) with all_380_0_309 yields: % 132.88/73.43 | (1415) (all_380_0_309 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_380_0_309 = 0 & mem(all_183_1_101, e) = 0) % 132.88/73.43 | % 132.88/73.43 +-Applying beta-rule and splitting (1415), into two cases. % 132.88/73.43 |-Branch one: % 132.88/73.43 | (1416) all_380_0_309 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1416) yields: % 132.88/73.43 | (1417) all_380_0_309 = 0 % 132.88/73.43 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.88/73.43 | (403) all_183_1_101 = e % 132.88/73.43 | % 132.88/73.43 | From (403) and (271) follows: % 132.88/73.43 | (1404) mem(e, all_59_1_62) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 132.88/73.43 | (210) all_87_0_72 = 0 % 132.88/73.43 | % 132.88/73.43 | Equations (210) can reduce 181 to: % 132.88/73.43 | (173) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1423) all_380_0_309 = 0 & mem(all_183_1_101, e) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1423) yields: % 132.88/73.43 | (1417) all_380_0_309 = 0 % 132.88/73.43 | (418) mem(all_183_1_101, e) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.88/73.43 | (415) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1427) all_326_0_303 = 0 & mem(all_87_1_73, e) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1427) yields: % 132.88/73.43 | (1379) all_326_0_303 = 0 % 132.88/73.43 | (1429) mem(all_87_1_73, e) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 132.88/73.43 | (415) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1229) all_294_0_262 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1229) yields: % 132.88/73.43 | (1157) all_294_0_262 = 0 % 132.88/73.43 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 132.88/73.43 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 132.88/73.43 | % 132.88/73.43 | Instantiating (345) with all_334_0_323 yields: % 132.88/73.43 | (1435) (all_334_0_323 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_334_0_323 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 132.88/73.43 | % 132.88/73.43 +-Applying beta-rule and splitting (1138), into two cases. % 132.88/73.43 |-Branch one: % 132.88/73.43 | (1161) all_302_0_263 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1161) yields: % 132.88/73.43 | (1162) all_302_0_263 = 0 % 132.88/73.43 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.88/73.43 | (350) all_183_1_101 = all_0_4_4 % 132.88/73.43 | % 132.88/73.43 | From (350) and (257) follows: % 132.88/73.43 | (646) mem(all_0_4_4, all_131_1_85) = all_183_0_100 % 132.88/73.43 | % 132.88/73.43 +-Applying beta-rule and splitting (1150), into two cases. % 132.88/73.43 |-Branch one: % 132.88/73.43 | (1173) all_310_0_264 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1173) yields: % 132.88/73.43 | (1174) all_310_0_264 = 0 % 132.88/73.43 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.88/73.43 | (362) all_167_2_96 = all_0_4_4 % 132.88/73.43 | % 132.88/73.43 | From (362) and (246) follows: % 132.88/73.43 | (651) mem(all_0_4_4, all_131_1_85) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (31) with all_0_4_4, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_4_4, all_131_1_85) = all_183_0_100, mem(all_0_4_4, all_131_1_85) = 0, yields: % 132.88/73.43 | (410) all_183_0_100 = 0 % 132.88/73.43 | % 132.88/73.43 | Equations (410) can reduce 256 to: % 132.88/73.43 | (173) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1180) all_310_0_264 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1180) yields: % 132.88/73.43 | (1174) all_310_0_264 = 0 % 132.88/73.43 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.88/73.43 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.88/73.43 | % 132.88/73.43 | Instantiating (369) with all_353_0_324 yields: % 132.88/73.43 | (1452) (all_353_0_324 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_353_0_324 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.88/73.43 | % 132.88/73.43 +-Applying beta-rule and splitting (1348), into two cases. % 132.88/73.43 |-Branch one: % 132.88/73.43 | (1378) all_326_0_303 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1378) yields: % 132.88/73.43 | (1379) all_326_0_303 = 0 % 132.88/73.43 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 132.88/73.43 | (1381) all_87_1_73 = e % 132.88/73.43 | % 132.88/73.43 | From (1381) and (182) follows: % 132.88/73.43 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 132.88/73.43 | % 132.88/73.43 +-Applying beta-rule and splitting (1435), into two cases. % 132.88/73.43 |-Branch one: % 132.88/73.43 | (1458) all_334_0_323 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1458) yields: % 132.88/73.43 | (1459) all_334_0_323 = 0 % 132.88/73.43 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.88/73.43 | (374) all_137_1_87 = all_0_5_5 % 132.88/73.43 | % 132.88/73.43 | From (374) and (229) follows: % 132.88/73.43 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 132.88/73.43 | % 132.88/73.43 +-Applying beta-rule and splitting (1452), into two cases. % 132.88/73.43 |-Branch one: % 132.88/73.43 | (1463) all_353_0_324 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1463) yields: % 132.88/73.43 | (1464) all_353_0_324 = 0 % 132.88/73.43 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.88/73.43 | (391) all_167_2_96 = all_0_5_5 % 132.88/73.43 | % 132.88/73.43 | From (391) and (264) follows: % 132.88/73.43 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 132.88/73.43 | (259) all_137_0_86 = 0 % 132.88/73.43 | % 132.88/73.43 | Equations (259) can reduce 228 to: % 132.88/73.43 | (173) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1470) all_353_0_324 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1470) yields: % 132.88/73.43 | (1464) all_353_0_324 = 0 % 132.88/73.43 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.88/73.43 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.88/73.43 | % 132.88/73.43 | Instantiating (398) with all_391_0_326 yields: % 132.88/73.43 | (1474) (all_391_0_326 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_391_0_326 = 0 & mem(all_167_2_96, e) = 0) % 132.88/73.43 | % 132.88/73.43 +-Applying beta-rule and splitting (1474), into two cases. % 132.88/73.43 |-Branch one: % 132.88/73.43 | (1475) all_391_0_326 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1475) yields: % 132.88/73.43 | (1476) all_391_0_326 = 0 % 132.88/73.43 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.88/73.43 | (408) all_167_2_96 = e % 132.88/73.43 | % 132.88/73.43 | From (408) and (276) follows: % 132.88/73.43 | (1404) mem(e, all_59_1_62) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 132.88/73.43 | (210) all_87_0_72 = 0 % 132.88/73.43 | % 132.88/73.43 | Equations (210) can reduce 181 to: % 132.88/73.43 | (173) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1482) all_391_0_326 = 0 & mem(all_167_2_96, e) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1482) yields: % 132.88/73.43 | (1476) all_391_0_326 = 0 % 132.88/73.43 | (414) mem(all_167_2_96, e) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.88/73.43 | (415) $false % 132.88/73.43 | % 132.88/73.43 |-The branch is then unsatisfiable % 132.88/73.43 |-Branch two: % 132.88/73.43 | (1486) all_334_0_323 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1486) yields: % 132.88/73.43 | (1459) all_334_0_323 = 0 % 132.88/73.43 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.88/73.43 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.88/73.43 | % 132.88/73.43 | Instantiating (423) with all_380_0_328 yields: % 132.88/73.43 | (1490) (all_380_0_328 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_380_0_328 = 0 & mem(all_137_1_87, e) = 0) % 132.88/73.43 | % 132.88/73.43 +-Applying beta-rule and splitting (1490), into two cases. % 132.88/73.43 |-Branch one: % 132.88/73.43 | (1491) all_380_0_328 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Applying alpha-rule on (1491) yields: % 132.88/73.43 | (1492) all_380_0_328 = 0 % 132.88/73.43 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.43 | % 132.88/73.43 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.88/73.43 | (445) all_137_1_87 = e % 132.88/73.43 | % 132.88/73.43 | From (445) and (239) follows: % 132.88/73.44 | (1404) mem(e, all_59_1_62) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 132.88/73.44 | (210) all_87_0_72 = 0 % 132.88/73.44 | % 132.88/73.44 | Equations (210) can reduce 181 to: % 132.88/73.44 | (173) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (1498) all_380_0_328 = 0 & mem(all_137_1_87, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1498) yields: % 132.88/73.44 | (1492) all_380_0_328 = 0 % 132.88/73.44 | (460) mem(all_137_1_87, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.88/73.44 | (415) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (1427) all_326_0_303 = 0 & mem(all_87_1_73, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1427) yields: % 132.88/73.44 | (1379) all_326_0_303 = 0 % 132.88/73.44 | (1429) mem(all_87_1_73, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 132.88/73.44 | (415) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (1168) all_302_0_263 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1168) yields: % 132.88/73.44 | (1162) all_302_0_263 = 0 % 132.88/73.44 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.88/73.44 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.88/73.44 | % 132.88/73.44 | Instantiating (357) with all_342_0_342 yields: % 132.88/73.44 | (1510) (all_342_0_342 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_342_0_342 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (1348), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (1378) all_326_0_303 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1378) yields: % 132.88/73.44 | (1379) all_326_0_303 = 0 % 132.88/73.44 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 132.88/73.44 | (1381) all_87_1_73 = e % 132.88/73.44 | % 132.88/73.44 | From (1381) and (182) follows: % 132.88/73.44 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (1435), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (1458) all_334_0_323 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1458) yields: % 132.88/73.44 | (1459) all_334_0_323 = 0 % 132.88/73.44 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.88/73.44 | (374) all_137_1_87 = all_0_5_5 % 132.88/73.44 | % 132.88/73.44 | From (374) and (229) follows: % 132.88/73.44 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (1510), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (1521) all_342_0_342 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1521) yields: % 132.88/73.44 | (1522) all_342_0_342 = 0 % 132.88/73.44 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.88/73.44 | (379) all_183_1_101 = all_0_5_5 % 132.88/73.44 | % 132.88/73.44 | From (379) and (258) follows: % 132.88/73.44 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 132.88/73.44 | (259) all_137_0_86 = 0 % 132.88/73.44 | % 132.88/73.44 | Equations (259) can reduce 228 to: % 132.88/73.44 | (173) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (1528) all_342_0_342 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1528) yields: % 132.88/73.44 | (1522) all_342_0_342 = 0 % 132.88/73.44 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.88/73.44 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.88/73.44 | % 132.88/73.44 | Instantiating (386) with all_419_0_358 yields: % 132.88/73.44 | (1532) (all_419_0_358 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_419_0_358 = 0 & mem(all_183_1_101, e) = 0) % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (1532), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (1533) all_419_0_358 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1533) yields: % 132.88/73.44 | (1534) all_419_0_358 = 0 % 132.88/73.44 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.88/73.44 | (403) all_183_1_101 = e % 132.88/73.44 | % 132.88/73.44 | From (403) and (271) follows: % 132.88/73.44 | (1404) mem(e, all_59_1_62) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 132.88/73.44 | (210) all_87_0_72 = 0 % 132.88/73.44 | % 132.88/73.44 | Equations (210) can reduce 181 to: % 132.88/73.44 | (173) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (1540) all_419_0_358 = 0 & mem(all_183_1_101, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1540) yields: % 132.88/73.44 | (1534) all_419_0_358 = 0 % 132.88/73.44 | (418) mem(all_183_1_101, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.88/73.44 | (415) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (1486) all_334_0_323 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1486) yields: % 132.88/73.44 | (1459) all_334_0_323 = 0 % 132.88/73.44 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.88/73.44 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.88/73.44 | % 132.88/73.44 | Instantiating (423) with all_408_0_362 yields: % 132.88/73.44 | (1548) (all_408_0_362 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_408_0_362 = 0 & mem(all_137_1_87, e) = 0) % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (1548), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (1549) all_408_0_362 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1549) yields: % 132.88/73.44 | (1550) all_408_0_362 = 0 % 132.88/73.44 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.88/73.44 | (445) all_137_1_87 = e % 132.88/73.44 | % 132.88/73.44 | From (445) and (239) follows: % 132.88/73.44 | (1404) mem(e, all_59_1_62) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 132.88/73.44 | (210) all_87_0_72 = 0 % 132.88/73.44 | % 132.88/73.44 | Equations (210) can reduce 181 to: % 132.88/73.44 | (173) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (1556) all_408_0_362 = 0 & mem(all_137_1_87, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1556) yields: % 132.88/73.44 | (1550) all_408_0_362 = 0 % 132.88/73.44 | (460) mem(all_137_1_87, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.88/73.44 | (415) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (1427) all_326_0_303 = 0 & mem(all_87_1_73, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (1427) yields: % 132.88/73.44 | (1379) all_326_0_303 = 0 % 132.88/73.44 | (1429) mem(all_87_1_73, e) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 132.88/73.44 | (415) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (289) all_164_0_92 = 0 & mem(all_112_1_81, all_0_3_3) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (289) yields: % 132.88/73.44 | (283) all_164_0_92 = 0 % 132.88/73.44 | (291) mem(all_112_1_81, all_0_3_3) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_112_1_81, all_0_3_3) = 0, yields: % 132.88/73.44 | (292) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_72_0_66) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_4_4) = 0)) % 132.88/73.44 | % 132.88/73.44 | Instantiating (292) with all_275_0_368 yields: % 132.88/73.44 | (1568) (all_275_0_368 = 0 & mem(all_112_1_81, all_72_0_66) = 0) | (all_275_0_368 = 0 & mem(all_112_1_81, all_0_4_4) = 0) % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (903), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (917) all_228_0_225 = 0 & mem(all_87_1_73, all_72_0_66) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (917) yields: % 132.88/73.44 | (918) all_228_0_225 = 0 % 132.88/73.44 | (919) mem(all_87_1_73, all_72_0_66) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_87_1_73 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_87_1_73, all_72_0_66) = 0, yields: % 132.88/73.44 | (920) all_87_1_73 = all_0_4_4 % 132.88/73.44 | % 132.88/73.44 | From (920) and (182) follows: % 132.88/73.44 | (921) mem(all_0_4_4, all_59_1_62) = all_87_0_72 % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (904), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (922) all_229_0_226 = 0 & mem(all_137_1_87, all_57_0_60) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (922) yields: % 132.88/73.44 | (923) all_229_0_226 = 0 % 132.88/73.44 | (296) mem(all_137_1_87, all_57_0_60) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_137_1_87 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_137_1_87, all_57_0_60) = 0, yields: % 132.88/73.44 | (297) all_137_1_87 = all_0_1_1 % 132.88/73.44 | % 132.88/73.44 | From (297) and (229) follows: % 132.88/73.44 | (1578) mem(all_0_1_1, all_101_1_77) = all_137_0_86 % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (909), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (934) all_254_0_230 = 0 & mem(all_183_1_101, all_57_0_60) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (934) yields: % 132.88/73.44 | (935) all_254_0_230 = 0 % 132.88/73.44 | (308) mem(all_183_1_101, all_57_0_60) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_183_1_101 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_183_1_101, all_57_0_60) = 0, yields: % 132.88/73.44 | (309) all_183_1_101 = all_0_1_1 % 132.88/73.44 | % 132.88/73.44 | From (309) and (258) follows: % 132.88/73.44 | (1583) mem(all_0_1_1, all_101_1_77) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (31) with all_0_1_1, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_1_1, all_101_1_77) = all_137_0_86, mem(all_0_1_1, all_101_1_77) = 0, yields: % 132.88/73.44 | (259) all_137_0_86 = 0 % 132.88/73.44 | % 132.88/73.44 | Equations (259) can reduce 228 to: % 132.88/73.44 | (173) $false % 132.88/73.44 | % 132.88/73.44 |-The branch is then unsatisfiable % 132.88/73.44 |-Branch two: % 132.88/73.44 | (941) all_254_0_230 = 0 & mem(all_183_1_101, all_0_3_3) = 0 % 132.88/73.44 | % 132.88/73.44 | Applying alpha-rule on (941) yields: % 132.88/73.44 | (935) all_254_0_230 = 0 % 132.88/73.44 | (315) mem(all_183_1_101, all_0_3_3) = 0 % 132.88/73.44 | % 132.88/73.44 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_183_1_101, all_0_3_3) = 0, yields: % 132.88/73.44 | (316) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_4_4) = 0)) % 132.88/73.44 | % 132.88/73.44 | Instantiating (316) with all_305_0_369 yields: % 132.88/73.44 | (1590) (all_305_0_369 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (all_305_0_369 = 0 & mem(all_183_1_101, all_0_4_4) = 0) % 132.88/73.44 | % 132.88/73.44 +-Applying beta-rule and splitting (911), into two cases. % 132.88/73.44 |-Branch one: % 132.88/73.44 | (946) all_261_0_231 = 0 & mem(all_167_2_96, all_57_0_60) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (946) yields: % 132.88/73.45 | (947) all_261_0_231 = 0 % 132.88/73.45 | (320) mem(all_167_2_96, all_57_0_60) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_167_2_96 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_167_2_96, all_57_0_60) = 0, yields: % 132.88/73.45 | (321) all_167_2_96 = all_0_1_1 % 132.88/73.45 | % 132.88/73.45 | From (321) and (264) follows: % 132.88/73.45 | (1583) mem(all_0_1_1, all_101_1_77) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (31) with all_0_1_1, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_1_1, all_101_1_77) = all_137_0_86, mem(all_0_1_1, all_101_1_77) = 0, yields: % 132.88/73.45 | (259) all_137_0_86 = 0 % 132.88/73.45 | % 132.88/73.45 | Equations (259) can reduce 228 to: % 132.88/73.45 | (173) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (953) all_261_0_231 = 0 & mem(all_167_2_96, all_0_3_3) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (953) yields: % 132.88/73.45 | (947) all_261_0_231 = 0 % 132.88/73.45 | (327) mem(all_167_2_96, all_0_3_3) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_167_2_96, all_0_3_3) = 0, yields: % 132.88/73.45 | (328) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_4_4) = 0)) % 132.88/73.45 | % 132.88/73.45 | Instantiating (328) with all_313_0_370 yields: % 132.88/73.45 | (1602) (all_313_0_370 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (all_313_0_370 = 0 & mem(all_167_2_96, all_0_4_4) = 0) % 132.88/73.45 | % 132.88/73.45 +-Applying beta-rule and splitting (1568), into two cases. % 132.88/73.45 |-Branch one: % 132.88/73.45 | (1603) all_275_0_368 = 0 & mem(all_112_1_81, all_72_0_66) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1603) yields: % 132.88/73.45 | (1604) all_275_0_368 = 0 % 132.88/73.45 | (332) mem(all_112_1_81, all_72_0_66) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_112_1_81, all_72_0_66) = 0, yields: % 132.88/73.45 | (333) all_112_1_81 = all_0_4_4 % 132.88/73.45 | % 132.88/73.45 | From (333) and (209) follows: % 132.88/73.45 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.45 | (210) all_87_0_72 = 0 % 132.88/73.45 | % 132.88/73.45 | Equations (210) can reduce 181 to: % 132.88/73.45 | (173) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (1610) all_275_0_368 = 0 & mem(all_112_1_81, all_0_4_4) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1610) yields: % 132.88/73.45 | (1604) all_275_0_368 = 0 % 132.88/73.45 | (489) mem(all_112_1_81, all_0_4_4) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_112_1_81, all_0_4_4) = 0, yields: % 132.88/73.45 | (490) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_5_5) = 0)) % 132.88/73.45 | % 132.88/73.45 | Instantiating (490) with all_329_0_372 yields: % 132.88/73.45 | (1614) (all_329_0_372 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (all_329_0_372 = 0 & mem(all_112_1_81, all_0_5_5) = 0) % 132.88/73.45 | % 132.88/73.45 +-Applying beta-rule and splitting (1590), into two cases. % 132.88/73.45 |-Branch one: % 132.88/73.45 | (1615) all_305_0_369 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1615) yields: % 132.88/73.45 | (1616) all_305_0_369 = 0 % 132.88/73.45 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.88/73.45 | (350) all_183_1_101 = all_0_4_4 % 132.88/73.45 | % 132.88/73.45 | From (350) and (271) follows: % 132.88/73.45 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.45 | (210) all_87_0_72 = 0 % 132.88/73.45 | % 132.88/73.45 | Equations (210) can reduce 181 to: % 132.88/73.45 | (173) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (1622) all_305_0_369 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1622) yields: % 132.88/73.45 | (1616) all_305_0_369 = 0 % 132.88/73.45 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.88/73.45 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.88/73.45 | % 132.88/73.45 | Instantiating (357) with all_337_0_373 yields: % 132.88/73.45 | (1626) (all_337_0_373 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_337_0_373 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.88/73.45 | % 132.88/73.45 +-Applying beta-rule and splitting (1602), into two cases. % 132.88/73.45 |-Branch one: % 132.88/73.45 | (1627) all_313_0_370 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1627) yields: % 132.88/73.45 | (1628) all_313_0_370 = 0 % 132.88/73.45 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.88/73.45 | (362) all_167_2_96 = all_0_4_4 % 132.88/73.45 | % 132.88/73.45 | From (362) and (276) follows: % 132.88/73.45 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.45 | (210) all_87_0_72 = 0 % 132.88/73.45 | % 132.88/73.45 | Equations (210) can reduce 181 to: % 132.88/73.45 | (173) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (1634) all_313_0_370 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1634) yields: % 132.88/73.45 | (1628) all_313_0_370 = 0 % 132.88/73.45 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.88/73.45 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.88/73.45 | % 132.88/73.45 | Instantiating (369) with all_345_0_374 yields: % 132.88/73.45 | (1638) (all_345_0_374 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_345_0_374 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.88/73.45 | % 132.88/73.45 +-Applying beta-rule and splitting (1614), into two cases. % 132.88/73.45 |-Branch one: % 132.88/73.45 | (1639) all_329_0_372 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1639) yields: % 132.88/73.45 | (1640) all_329_0_372 = 0 % 132.88/73.45 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 132.88/73.45 | (524) all_112_1_81 = all_0_5_5 % 132.88/73.45 | % 132.88/73.45 | From (524) and (208) follows: % 132.88/73.45 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 132.88/73.45 | % 132.88/73.45 +-Applying beta-rule and splitting (1626), into two cases. % 132.88/73.45 |-Branch one: % 132.88/73.45 | (1644) all_337_0_373 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1644) yields: % 132.88/73.45 | (1645) all_337_0_373 = 0 % 132.88/73.45 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.88/73.45 | (379) all_183_1_101 = all_0_5_5 % 132.88/73.45 | % 132.88/73.45 | From (379) and (263) follows: % 132.88/73.45 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.88/73.45 | (231) all_112_0_80 = 0 % 132.88/73.45 | % 132.88/73.45 | Equations (231) can reduce 207 to: % 132.88/73.45 | (173) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (1651) all_337_0_373 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1651) yields: % 132.88/73.45 | (1645) all_337_0_373 = 0 % 132.88/73.45 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.88/73.45 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.88/73.45 | % 132.88/73.45 | Instantiating (386) with all_372_0_376 yields: % 132.88/73.45 | (1655) (all_372_0_376 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_372_0_376 = 0 & mem(all_183_1_101, e) = 0) % 132.88/73.45 | % 132.88/73.45 +-Applying beta-rule and splitting (1638), into two cases. % 132.88/73.45 |-Branch one: % 132.88/73.45 | (1656) all_345_0_374 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1656) yields: % 132.88/73.45 | (1657) all_345_0_374 = 0 % 132.88/73.45 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.88/73.45 | (391) all_167_2_96 = all_0_5_5 % 132.88/73.45 | % 132.88/73.45 | From (391) and (272) follows: % 132.88/73.45 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.88/73.45 | (231) all_112_0_80 = 0 % 132.88/73.45 | % 132.88/73.45 | Equations (231) can reduce 207 to: % 132.88/73.45 | (173) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (1663) all_345_0_374 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1663) yields: % 132.88/73.45 | (1657) all_345_0_374 = 0 % 132.88/73.45 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.88/73.45 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.88/73.45 | % 132.88/73.45 | Instantiating (398) with all_380_0_377 yields: % 132.88/73.45 | (1667) (all_380_0_377 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_377 = 0 & mem(all_167_2_96, e) = 0) % 132.88/73.45 | % 132.88/73.45 +-Applying beta-rule and splitting (1655), into two cases. % 132.88/73.45 |-Branch one: % 132.88/73.45 | (1668) all_372_0_376 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1668) yields: % 132.88/73.45 | (1669) all_372_0_376 = 0 % 132.88/73.45 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.88/73.45 | (403) all_183_1_101 = e % 132.88/73.45 | % 132.88/73.45 | From (403) and (257) follows: % 132.88/73.45 | (404) mem(e, all_131_1_85) = all_183_0_100 % 132.88/73.45 | % 132.88/73.45 +-Applying beta-rule and splitting (1667), into two cases. % 132.88/73.45 |-Branch one: % 132.88/73.45 | (1673) all_380_0_377 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1673) yields: % 132.88/73.45 | (1674) all_380_0_377 = 0 % 132.88/73.45 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.88/73.45 | (408) all_167_2_96 = e % 132.88/73.45 | % 132.88/73.45 | From (408) and (246) follows: % 132.88/73.45 | (409) mem(e, all_131_1_85) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (31) with e, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(e, all_131_1_85) = all_183_0_100, mem(e, all_131_1_85) = 0, yields: % 132.88/73.45 | (410) all_183_0_100 = 0 % 132.88/73.45 | % 132.88/73.45 | Equations (410) can reduce 256 to: % 132.88/73.45 | (173) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (1680) all_380_0_377 = 0 & mem(all_167_2_96, e) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1680) yields: % 132.88/73.45 | (1674) all_380_0_377 = 0 % 132.88/73.45 | (414) mem(all_167_2_96, e) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.88/73.45 | (415) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (1684) all_372_0_376 = 0 & mem(all_183_1_101, e) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1684) yields: % 132.88/73.45 | (1669) all_372_0_376 = 0 % 132.88/73.45 | (418) mem(all_183_1_101, e) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.88/73.45 | (415) $false % 132.88/73.45 | % 132.88/73.45 |-The branch is then unsatisfiable % 132.88/73.45 |-Branch two: % 132.88/73.45 | (1688) all_329_0_372 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 132.88/73.45 | % 132.88/73.45 | Applying alpha-rule on (1688) yields: % 132.88/73.45 | (1640) all_329_0_372 = 0 % 132.88/73.45 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 132.88/73.45 | % 132.88/73.45 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 132.88/73.45 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 132.88/73.46 | % 132.88/73.46 | Instantiating (573) with all_361_0_379 yields: % 132.88/73.46 | (1692) (all_361_0_379 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_361_0_379 = 0 & mem(all_112_1_81, e) = 0) % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (1626), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (1644) all_337_0_373 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1644) yields: % 132.88/73.46 | (1645) all_337_0_373 = 0 % 132.88/73.46 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.88/73.46 | (379) all_183_1_101 = all_0_5_5 % 132.88/73.46 | % 132.88/73.46 | From (379) and (257) follows: % 132.88/73.46 | (429) mem(all_0_5_5, all_131_1_85) = all_183_0_100 % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (1638), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (1656) all_345_0_374 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1656) yields: % 132.88/73.46 | (1657) all_345_0_374 = 0 % 132.88/73.46 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.88/73.46 | (391) all_167_2_96 = all_0_5_5 % 132.88/73.46 | % 132.88/73.46 | From (391) and (246) follows: % 132.88/73.46 | (434) mem(all_0_5_5, all_131_1_85) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (31) with all_0_5_5, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_5_5, all_131_1_85) = all_183_0_100, mem(all_0_5_5, all_131_1_85) = 0, yields: % 132.88/73.46 | (410) all_183_0_100 = 0 % 132.88/73.46 | % 132.88/73.46 | Equations (410) can reduce 256 to: % 132.88/73.46 | (173) $false % 132.88/73.46 | % 132.88/73.46 |-The branch is then unsatisfiable % 132.88/73.46 |-Branch two: % 132.88/73.46 | (1663) all_345_0_374 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1663) yields: % 132.88/73.46 | (1657) all_345_0_374 = 0 % 132.88/73.46 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.88/73.46 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.88/73.46 | % 132.88/73.46 | Instantiating (398) with all_380_0_380 yields: % 132.88/73.46 | (1709) (all_380_0_380 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_380 = 0 & mem(all_167_2_96, e) = 0) % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (1692), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (1710) all_361_0_379 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1710) yields: % 132.88/73.46 | (1711) all_361_0_379 = 0 % 132.88/73.46 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.88/73.46 | (595) all_112_1_81 = e % 132.88/73.46 | % 132.88/73.46 | From (595) and (208) follows: % 132.88/73.46 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (1709), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (1715) all_380_0_380 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1715) yields: % 132.88/73.46 | (1716) all_380_0_380 = 0 % 132.88/73.46 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.88/73.46 | (408) all_167_2_96 = e % 132.88/73.46 | % 132.88/73.46 | From (408) and (272) follows: % 132.88/73.46 | (601) mem(e, all_76_1_69) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.88/73.46 | (231) all_112_0_80 = 0 % 132.88/73.46 | % 132.88/73.46 | Equations (231) can reduce 207 to: % 132.88/73.46 | (173) $false % 132.88/73.46 | % 132.88/73.46 |-The branch is then unsatisfiable % 132.88/73.46 |-Branch two: % 132.88/73.46 | (1722) all_380_0_380 = 0 & mem(all_167_2_96, e) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1722) yields: % 132.88/73.46 | (1716) all_380_0_380 = 0 % 132.88/73.46 | (414) mem(all_167_2_96, e) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.88/73.46 | (415) $false % 132.88/73.46 | % 132.88/73.46 |-The branch is then unsatisfiable % 132.88/73.46 |-Branch two: % 132.88/73.46 | (1726) all_361_0_379 = 0 & mem(all_112_1_81, e) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1726) yields: % 132.88/73.46 | (1711) all_361_0_379 = 0 % 132.88/73.46 | (610) mem(all_112_1_81, e) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.88/73.46 | (415) $false % 132.88/73.46 | % 132.88/73.46 |-The branch is then unsatisfiable % 132.88/73.46 |-Branch two: % 132.88/73.46 | (1651) all_337_0_373 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1651) yields: % 132.88/73.46 | (1645) all_337_0_373 = 0 % 132.88/73.46 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.88/73.46 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.88/73.46 | % 132.88/73.46 | Instantiating (386) with all_369_0_382 yields: % 132.88/73.46 | (1734) (all_369_0_382 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_369_0_382 = 0 & mem(all_183_1_101, e) = 0) % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (1692), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (1710) all_361_0_379 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1710) yields: % 132.88/73.46 | (1711) all_361_0_379 = 0 % 132.88/73.46 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.88/73.46 | (595) all_112_1_81 = e % 132.88/73.46 | % 132.88/73.46 | From (595) and (208) follows: % 132.88/73.46 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (1734), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (1740) all_369_0_382 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1740) yields: % 132.88/73.46 | (1741) all_369_0_382 = 0 % 132.88/73.46 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.88/73.46 | (403) all_183_1_101 = e % 132.88/73.46 | % 132.88/73.46 | From (403) and (263) follows: % 132.88/73.46 | (601) mem(e, all_76_1_69) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.88/73.46 | (231) all_112_0_80 = 0 % 132.88/73.46 | % 132.88/73.46 | Equations (231) can reduce 207 to: % 132.88/73.46 | (173) $false % 132.88/73.46 | % 132.88/73.46 |-The branch is then unsatisfiable % 132.88/73.46 |-Branch two: % 132.88/73.46 | (1747) all_369_0_382 = 0 & mem(all_183_1_101, e) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1747) yields: % 132.88/73.46 | (1741) all_369_0_382 = 0 % 132.88/73.46 | (418) mem(all_183_1_101, e) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.88/73.46 | (415) $false % 132.88/73.46 | % 132.88/73.46 |-The branch is then unsatisfiable % 132.88/73.46 |-Branch two: % 132.88/73.46 | (1726) all_361_0_379 = 0 & mem(all_112_1_81, e) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1726) yields: % 132.88/73.46 | (1711) all_361_0_379 = 0 % 132.88/73.46 | (610) mem(all_112_1_81, e) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.88/73.46 | (415) $false % 132.88/73.46 | % 132.88/73.46 |-The branch is then unsatisfiable % 132.88/73.46 |-Branch two: % 132.88/73.46 | (929) all_229_0_226 = 0 & mem(all_137_1_87, all_0_3_3) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (929) yields: % 132.88/73.46 | (923) all_229_0_226 = 0 % 132.88/73.46 | (303) mem(all_137_1_87, all_0_3_3) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_137_1_87, all_0_3_3) = 0, yields: % 132.88/73.46 | (304) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_4_4) = 0)) % 132.88/73.46 | % 132.88/73.46 | Instantiating (304) with all_294_0_396 yields: % 132.88/73.46 | (1759) (all_294_0_396 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (all_294_0_396 = 0 & mem(all_137_1_87, all_0_4_4) = 0) % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (909), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (934) all_254_0_230 = 0 & mem(all_183_1_101, all_57_0_60) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (934) yields: % 132.88/73.46 | (935) all_254_0_230 = 0 % 132.88/73.46 | (308) mem(all_183_1_101, all_57_0_60) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_183_1_101 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_183_1_101, all_57_0_60) = 0, yields: % 132.88/73.46 | (309) all_183_1_101 = all_0_1_1 % 132.88/73.46 | % 132.88/73.46 | From (309) and (257) follows: % 132.88/73.46 | (1764) mem(all_0_1_1, all_131_1_85) = all_183_0_100 % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (911), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (946) all_261_0_231 = 0 & mem(all_167_2_96, all_57_0_60) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (946) yields: % 132.88/73.46 | (947) all_261_0_231 = 0 % 132.88/73.46 | (320) mem(all_167_2_96, all_57_0_60) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_167_2_96 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_167_2_96, all_57_0_60) = 0, yields: % 132.88/73.46 | (321) all_167_2_96 = all_0_1_1 % 132.88/73.46 | % 132.88/73.46 | From (321) and (246) follows: % 132.88/73.46 | (1769) mem(all_0_1_1, all_131_1_85) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (31) with all_0_1_1, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_1_1, all_131_1_85) = all_183_0_100, mem(all_0_1_1, all_131_1_85) = 0, yields: % 132.88/73.46 | (410) all_183_0_100 = 0 % 132.88/73.46 | % 132.88/73.46 | Equations (410) can reduce 256 to: % 132.88/73.46 | (173) $false % 132.88/73.46 | % 132.88/73.46 |-The branch is then unsatisfiable % 132.88/73.46 |-Branch two: % 132.88/73.46 | (953) all_261_0_231 = 0 & mem(all_167_2_96, all_0_3_3) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (953) yields: % 132.88/73.46 | (947) all_261_0_231 = 0 % 132.88/73.46 | (327) mem(all_167_2_96, all_0_3_3) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_167_2_96, all_0_3_3) = 0, yields: % 132.88/73.46 | (328) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_4_4) = 0)) % 132.88/73.46 | % 132.88/73.46 | Instantiating (328) with all_313_0_397 yields: % 132.88/73.46 | (1776) (all_313_0_397 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (all_313_0_397 = 0 & mem(all_167_2_96, all_0_4_4) = 0) % 132.88/73.46 | % 132.88/73.46 +-Applying beta-rule and splitting (1568), into two cases. % 132.88/73.46 |-Branch one: % 132.88/73.46 | (1603) all_275_0_368 = 0 & mem(all_112_1_81, all_72_0_66) = 0 % 132.88/73.46 | % 132.88/73.46 | Applying alpha-rule on (1603) yields: % 132.88/73.46 | (1604) all_275_0_368 = 0 % 132.88/73.46 | (332) mem(all_112_1_81, all_72_0_66) = 0 % 132.88/73.46 | % 132.88/73.46 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_112_1_81, all_72_0_66) = 0, yields: % 132.88/73.46 | (333) all_112_1_81 = all_0_4_4 % 132.88/73.46 | % 132.88/73.46 | From (333) and (209) follows: % 132.88/73.47 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.47 | (210) all_87_0_72 = 0 % 132.88/73.47 | % 132.88/73.47 | Equations (210) can reduce 181 to: % 132.88/73.47 | (173) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1610) all_275_0_368 = 0 & mem(all_112_1_81, all_0_4_4) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1610) yields: % 132.88/73.47 | (1604) all_275_0_368 = 0 % 132.88/73.47 | (489) mem(all_112_1_81, all_0_4_4) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_112_1_81, all_0_4_4) = 0, yields: % 132.88/73.47 | (490) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_5_5) = 0)) % 132.88/73.47 | % 132.88/73.47 | Instantiating (490) with all_329_0_399 yields: % 132.88/73.47 | (1788) (all_329_0_399 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (all_329_0_399 = 0 & mem(all_112_1_81, all_0_5_5) = 0) % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1759), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1789) all_294_0_396 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1789) yields: % 132.88/73.47 | (1790) all_294_0_396 = 0 % 132.88/73.47 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 132.88/73.47 | (338) all_137_1_87 = all_0_4_4 % 132.88/73.47 | % 132.88/73.47 | From (338) and (239) follows: % 132.88/73.47 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.47 | (210) all_87_0_72 = 0 % 132.88/73.47 | % 132.88/73.47 | Equations (210) can reduce 181 to: % 132.88/73.47 | (173) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1796) all_294_0_396 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1796) yields: % 132.88/73.47 | (1790) all_294_0_396 = 0 % 132.88/73.47 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 132.88/73.47 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 132.88/73.47 | % 132.88/73.47 | Instantiating (345) with all_337_0_400 yields: % 132.88/73.47 | (1800) (all_337_0_400 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_337_0_400 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1776), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1801) all_313_0_397 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1801) yields: % 132.88/73.47 | (1802) all_313_0_397 = 0 % 132.88/73.47 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.88/73.47 | (362) all_167_2_96 = all_0_4_4 % 132.88/73.47 | % 132.88/73.47 | From (362) and (276) follows: % 132.88/73.47 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.47 | (210) all_87_0_72 = 0 % 132.88/73.47 | % 132.88/73.47 | Equations (210) can reduce 181 to: % 132.88/73.47 | (173) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1808) all_313_0_397 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1808) yields: % 132.88/73.47 | (1802) all_313_0_397 = 0 % 132.88/73.47 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.88/73.47 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.88/73.47 | % 132.88/73.47 | Instantiating (369) with all_345_0_401 yields: % 132.88/73.47 | (1812) (all_345_0_401 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_345_0_401 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1788), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1813) all_329_0_399 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1813) yields: % 132.88/73.47 | (1814) all_329_0_399 = 0 % 132.88/73.47 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 132.88/73.47 | (524) all_112_1_81 = all_0_5_5 % 132.88/73.47 | % 132.88/73.47 | From (524) and (208) follows: % 132.88/73.47 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1800), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1818) all_337_0_400 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1818) yields: % 132.88/73.47 | (1819) all_337_0_400 = 0 % 132.88/73.47 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.88/73.47 | (374) all_137_1_87 = all_0_5_5 % 132.88/73.47 | % 132.88/73.47 | From (374) and (230) follows: % 132.88/73.47 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.88/73.47 | (231) all_112_0_80 = 0 % 132.88/73.47 | % 132.88/73.47 | Equations (231) can reduce 207 to: % 132.88/73.47 | (173) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1825) all_337_0_400 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1825) yields: % 132.88/73.47 | (1819) all_337_0_400 = 0 % 132.88/73.47 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.88/73.47 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.88/73.47 | % 132.88/73.47 | Instantiating (423) with all_372_0_403 yields: % 132.88/73.47 | (1829) (all_372_0_403 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_372_0_403 = 0 & mem(all_137_1_87, e) = 0) % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1812), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1830) all_345_0_401 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1830) yields: % 132.88/73.47 | (1831) all_345_0_401 = 0 % 132.88/73.47 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.88/73.47 | (391) all_167_2_96 = all_0_5_5 % 132.88/73.47 | % 132.88/73.47 | From (391) and (272) follows: % 132.88/73.47 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.88/73.47 | (231) all_112_0_80 = 0 % 132.88/73.47 | % 132.88/73.47 | Equations (231) can reduce 207 to: % 132.88/73.47 | (173) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1837) all_345_0_401 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1837) yields: % 132.88/73.47 | (1831) all_345_0_401 = 0 % 132.88/73.47 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.88/73.47 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.88/73.47 | % 132.88/73.47 | Instantiating (398) with all_380_0_404 yields: % 132.88/73.47 | (1841) (all_380_0_404 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_404 = 0 & mem(all_167_2_96, e) = 0) % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1829), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1842) all_372_0_403 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1842) yields: % 132.88/73.47 | (1843) all_372_0_403 = 0 % 132.88/73.47 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.88/73.47 | (445) all_137_1_87 = e % 132.88/73.47 | % 132.88/73.47 | From (445) and (229) follows: % 132.88/73.47 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1841), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1847) all_380_0_404 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1847) yields: % 132.88/73.47 | (1848) all_380_0_404 = 0 % 132.88/73.47 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.88/73.47 | (408) all_167_2_96 = e % 132.88/73.47 | % 132.88/73.47 | From (408) and (264) follows: % 132.88/73.47 | (451) mem(e, all_101_1_77) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.88/73.47 | (259) all_137_0_86 = 0 % 132.88/73.47 | % 132.88/73.47 | Equations (259) can reduce 228 to: % 132.88/73.47 | (173) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1854) all_380_0_404 = 0 & mem(all_167_2_96, e) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1854) yields: % 132.88/73.47 | (1848) all_380_0_404 = 0 % 132.88/73.47 | (414) mem(all_167_2_96, e) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.88/73.47 | (415) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1858) all_372_0_403 = 0 & mem(all_137_1_87, e) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1858) yields: % 132.88/73.47 | (1843) all_372_0_403 = 0 % 132.88/73.47 | (460) mem(all_137_1_87, e) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.88/73.47 | (415) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1862) all_329_0_399 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1862) yields: % 132.88/73.47 | (1814) all_329_0_399 = 0 % 132.88/73.47 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 132.88/73.47 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 132.88/73.47 | % 132.88/73.47 | Instantiating (573) with all_361_0_406 yields: % 132.88/73.47 | (1866) (all_361_0_406 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_361_0_406 = 0 & mem(all_112_1_81, e) = 0) % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1800), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1818) all_337_0_400 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1818) yields: % 132.88/73.47 | (1819) all_337_0_400 = 0 % 132.88/73.47 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.88/73.47 | (374) all_137_1_87 = all_0_5_5 % 132.88/73.47 | % 132.88/73.47 | From (374) and (229) follows: % 132.88/73.47 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 132.88/73.47 | % 132.88/73.47 +-Applying beta-rule and splitting (1812), into two cases. % 132.88/73.47 |-Branch one: % 132.88/73.47 | (1830) all_345_0_401 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Applying alpha-rule on (1830) yields: % 132.88/73.47 | (1831) all_345_0_401 = 0 % 132.88/73.47 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.88/73.47 | (391) all_167_2_96 = all_0_5_5 % 132.88/73.47 | % 132.88/73.47 | From (391) and (264) follows: % 132.88/73.47 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 132.88/73.47 | % 132.88/73.47 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 132.88/73.47 | (259) all_137_0_86 = 0 % 132.88/73.47 | % 132.88/73.47 | Equations (259) can reduce 228 to: % 132.88/73.47 | (173) $false % 132.88/73.47 | % 132.88/73.47 |-The branch is then unsatisfiable % 132.88/73.47 |-Branch two: % 132.88/73.47 | (1837) all_345_0_401 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1837) yields: % 132.88/73.48 | (1831) all_345_0_401 = 0 % 132.88/73.48 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.88/73.48 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.88/73.48 | % 132.88/73.48 | Instantiating (398) with all_380_0_407 yields: % 132.88/73.48 | (1883) (all_380_0_407 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_407 = 0 & mem(all_167_2_96, e) = 0) % 132.88/73.48 | % 132.88/73.48 +-Applying beta-rule and splitting (1866), into two cases. % 132.88/73.48 |-Branch one: % 132.88/73.48 | (1884) all_361_0_406 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1884) yields: % 132.88/73.48 | (1885) all_361_0_406 = 0 % 132.88/73.48 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.88/73.48 | (595) all_112_1_81 = e % 132.88/73.48 | % 132.88/73.48 | From (595) and (208) follows: % 132.88/73.48 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.88/73.48 | % 132.88/73.48 +-Applying beta-rule and splitting (1883), into two cases. % 132.88/73.48 |-Branch one: % 132.88/73.48 | (1889) all_380_0_407 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1889) yields: % 132.88/73.48 | (1890) all_380_0_407 = 0 % 132.88/73.48 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.88/73.48 | (408) all_167_2_96 = e % 132.88/73.48 | % 132.88/73.48 | From (408) and (272) follows: % 132.88/73.48 | (601) mem(e, all_76_1_69) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.88/73.48 | (231) all_112_0_80 = 0 % 132.88/73.48 | % 132.88/73.48 | Equations (231) can reduce 207 to: % 132.88/73.48 | (173) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (1896) all_380_0_407 = 0 & mem(all_167_2_96, e) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1896) yields: % 132.88/73.48 | (1890) all_380_0_407 = 0 % 132.88/73.48 | (414) mem(all_167_2_96, e) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.88/73.48 | (415) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (1900) all_361_0_406 = 0 & mem(all_112_1_81, e) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1900) yields: % 132.88/73.48 | (1885) all_361_0_406 = 0 % 132.88/73.48 | (610) mem(all_112_1_81, e) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.88/73.48 | (415) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (1825) all_337_0_400 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1825) yields: % 132.88/73.48 | (1819) all_337_0_400 = 0 % 132.88/73.48 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.88/73.48 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.88/73.48 | % 132.88/73.48 | Instantiating (423) with all_369_0_409 yields: % 132.88/73.48 | (1908) (all_369_0_409 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_369_0_409 = 0 & mem(all_137_1_87, e) = 0) % 132.88/73.48 | % 132.88/73.48 +-Applying beta-rule and splitting (1866), into two cases. % 132.88/73.48 |-Branch one: % 132.88/73.48 | (1884) all_361_0_406 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1884) yields: % 132.88/73.48 | (1885) all_361_0_406 = 0 % 132.88/73.48 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.88/73.48 | (595) all_112_1_81 = e % 132.88/73.48 | % 132.88/73.48 | From (595) and (208) follows: % 132.88/73.48 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.88/73.48 | % 132.88/73.48 +-Applying beta-rule and splitting (1908), into two cases. % 132.88/73.48 |-Branch one: % 132.88/73.48 | (1914) all_369_0_409 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1914) yields: % 132.88/73.48 | (1915) all_369_0_409 = 0 % 132.88/73.48 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.88/73.48 | (445) all_137_1_87 = e % 132.88/73.48 | % 132.88/73.48 | From (445) and (230) follows: % 132.88/73.48 | (601) mem(e, all_76_1_69) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.88/73.48 | (231) all_112_0_80 = 0 % 132.88/73.48 | % 132.88/73.48 | Equations (231) can reduce 207 to: % 132.88/73.48 | (173) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (1921) all_369_0_409 = 0 & mem(all_137_1_87, e) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1921) yields: % 132.88/73.48 | (1915) all_369_0_409 = 0 % 132.88/73.48 | (460) mem(all_137_1_87, e) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.88/73.48 | (415) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (1900) all_361_0_406 = 0 & mem(all_112_1_81, e) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1900) yields: % 132.88/73.48 | (1885) all_361_0_406 = 0 % 132.88/73.48 | (610) mem(all_112_1_81, e) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.88/73.48 | (415) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (941) all_254_0_230 = 0 & mem(all_183_1_101, all_0_3_3) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (941) yields: % 132.88/73.48 | (935) all_254_0_230 = 0 % 132.88/73.48 | (315) mem(all_183_1_101, all_0_3_3) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_183_1_101, all_0_3_3) = 0, yields: % 132.88/73.48 | (316) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_4_4) = 0)) % 132.88/73.48 | % 132.88/73.48 | Instantiating (316) with all_302_0_423 yields: % 132.88/73.48 | (1933) (all_302_0_423 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (all_302_0_423 = 0 & mem(all_183_1_101, all_0_4_4) = 0) % 132.88/73.48 | % 132.88/73.48 +-Applying beta-rule and splitting (1568), into two cases. % 132.88/73.48 |-Branch one: % 132.88/73.48 | (1603) all_275_0_368 = 0 & mem(all_112_1_81, all_72_0_66) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1603) yields: % 132.88/73.48 | (1604) all_275_0_368 = 0 % 132.88/73.48 | (332) mem(all_112_1_81, all_72_0_66) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_112_1_81, all_72_0_66) = 0, yields: % 132.88/73.48 | (333) all_112_1_81 = all_0_4_4 % 132.88/73.48 | % 132.88/73.48 | From (333) and (209) follows: % 132.88/73.48 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.48 | (210) all_87_0_72 = 0 % 132.88/73.48 | % 132.88/73.48 | Equations (210) can reduce 181 to: % 132.88/73.48 | (173) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (1610) all_275_0_368 = 0 & mem(all_112_1_81, all_0_4_4) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1610) yields: % 132.88/73.48 | (1604) all_275_0_368 = 0 % 132.88/73.48 | (489) mem(all_112_1_81, all_0_4_4) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_112_1_81, all_0_4_4) = 0, yields: % 132.88/73.48 | (490) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_5_5) = 0)) % 132.88/73.48 | % 132.88/73.48 | Instantiating (490) with all_346_0_437 yields: % 132.88/73.48 | (1945) (all_346_0_437 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (all_346_0_437 = 0 & mem(all_112_1_81, all_0_5_5) = 0) % 132.88/73.48 | % 132.88/73.48 +-Applying beta-rule and splitting (1759), into two cases. % 132.88/73.48 |-Branch one: % 132.88/73.48 | (1789) all_294_0_396 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1789) yields: % 132.88/73.48 | (1790) all_294_0_396 = 0 % 132.88/73.48 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 132.88/73.48 | (338) all_137_1_87 = all_0_4_4 % 132.88/73.48 | % 132.88/73.48 | From (338) and (239) follows: % 132.88/73.48 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.48 | (210) all_87_0_72 = 0 % 132.88/73.48 | % 132.88/73.48 | Equations (210) can reduce 181 to: % 132.88/73.48 | (173) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (1796) all_294_0_396 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1796) yields: % 132.88/73.48 | (1790) all_294_0_396 = 0 % 132.88/73.48 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 132.88/73.48 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 132.88/73.48 | % 132.88/73.48 | Instantiating (345) with all_354_0_438 yields: % 132.88/73.48 | (1957) (all_354_0_438 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_354_0_438 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 132.88/73.48 | % 132.88/73.48 +-Applying beta-rule and splitting (1933), into two cases. % 132.88/73.48 |-Branch one: % 132.88/73.48 | (1958) all_302_0_423 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1958) yields: % 132.88/73.48 | (1959) all_302_0_423 = 0 % 132.88/73.48 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.88/73.48 | (350) all_183_1_101 = all_0_4_4 % 132.88/73.48 | % 132.88/73.48 | From (350) and (271) follows: % 132.88/73.48 | (962) mem(all_0_4_4, all_59_1_62) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (31) with all_0_4_4, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_4_4, all_59_1_62) = all_87_0_72, mem(all_0_4_4, all_59_1_62) = 0, yields: % 132.88/73.48 | (210) all_87_0_72 = 0 % 132.88/73.48 | % 132.88/73.48 | Equations (210) can reduce 181 to: % 132.88/73.48 | (173) $false % 132.88/73.48 | % 132.88/73.48 |-The branch is then unsatisfiable % 132.88/73.48 |-Branch two: % 132.88/73.48 | (1965) all_302_0_423 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1965) yields: % 132.88/73.48 | (1959) all_302_0_423 = 0 % 132.88/73.48 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.48 | % 132.88/73.48 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.88/73.48 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.88/73.48 | % 132.88/73.48 | Instantiating (357) with all_362_0_439 yields: % 132.88/73.48 | (1969) (all_362_0_439 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_362_0_439 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.88/73.48 | % 132.88/73.48 +-Applying beta-rule and splitting (1945), into two cases. % 132.88/73.48 |-Branch one: % 132.88/73.48 | (1970) all_346_0_437 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 132.88/73.48 | % 132.88/73.48 | Applying alpha-rule on (1970) yields: % 132.88/73.48 | (1971) all_346_0_437 = 0 % 132.88/73.48 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 132.88/73.49 | (524) all_112_1_81 = all_0_5_5 % 132.88/73.49 | % 132.88/73.49 | From (524) and (208) follows: % 132.88/73.49 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 132.88/73.49 | % 132.88/73.49 +-Applying beta-rule and splitting (1957), into two cases. % 132.88/73.49 |-Branch one: % 132.88/73.49 | (1975) all_354_0_438 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1975) yields: % 132.88/73.49 | (1976) all_354_0_438 = 0 % 132.88/73.49 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.88/73.49 | (374) all_137_1_87 = all_0_5_5 % 132.88/73.49 | % 132.88/73.49 | From (374) and (230) follows: % 132.88/73.49 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.88/73.49 | (231) all_112_0_80 = 0 % 132.88/73.49 | % 132.88/73.49 | Equations (231) can reduce 207 to: % 132.88/73.49 | (173) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (1982) all_354_0_438 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1982) yields: % 132.88/73.49 | (1976) all_354_0_438 = 0 % 132.88/73.49 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.88/73.49 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.88/73.49 | % 132.88/73.49 | Instantiating (423) with all_389_0_441 yields: % 132.88/73.49 | (1986) (all_389_0_441 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_389_0_441 = 0 & mem(all_137_1_87, e) = 0) % 132.88/73.49 | % 132.88/73.49 +-Applying beta-rule and splitting (1969), into two cases. % 132.88/73.49 |-Branch one: % 132.88/73.49 | (1987) all_362_0_439 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1987) yields: % 132.88/73.49 | (1988) all_362_0_439 = 0 % 132.88/73.49 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.88/73.49 | (379) all_183_1_101 = all_0_5_5 % 132.88/73.49 | % 132.88/73.49 | From (379) and (263) follows: % 132.88/73.49 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 132.88/73.49 | (231) all_112_0_80 = 0 % 132.88/73.49 | % 132.88/73.49 | Equations (231) can reduce 207 to: % 132.88/73.49 | (173) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (1994) all_362_0_439 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1994) yields: % 132.88/73.49 | (1988) all_362_0_439 = 0 % 132.88/73.49 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.88/73.49 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.88/73.49 | % 132.88/73.49 | Instantiating (386) with all_397_0_442 yields: % 132.88/73.49 | (1998) (all_397_0_442 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_397_0_442 = 0 & mem(all_183_1_101, e) = 0) % 132.88/73.49 | % 132.88/73.49 +-Applying beta-rule and splitting (1986), into two cases. % 132.88/73.49 |-Branch one: % 132.88/73.49 | (1999) all_389_0_441 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1999) yields: % 132.88/73.49 | (2000) all_389_0_441 = 0 % 132.88/73.49 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.88/73.49 | (445) all_137_1_87 = e % 132.88/73.49 | % 132.88/73.49 | From (445) and (229) follows: % 132.88/73.49 | (446) mem(e, all_101_1_77) = all_137_0_86 % 132.88/73.49 | % 132.88/73.49 +-Applying beta-rule and splitting (1998), into two cases. % 132.88/73.49 |-Branch one: % 132.88/73.49 | (2004) all_397_0_442 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (2004) yields: % 132.88/73.49 | (2005) all_397_0_442 = 0 % 132.88/73.49 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.88/73.49 | (403) all_183_1_101 = e % 132.88/73.49 | % 132.88/73.49 | From (403) and (258) follows: % 132.88/73.49 | (451) mem(e, all_101_1_77) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 132.88/73.49 | (259) all_137_0_86 = 0 % 132.88/73.49 | % 132.88/73.49 | Equations (259) can reduce 228 to: % 132.88/73.49 | (173) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (2011) all_397_0_442 = 0 & mem(all_183_1_101, e) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (2011) yields: % 132.88/73.49 | (2005) all_397_0_442 = 0 % 132.88/73.49 | (418) mem(all_183_1_101, e) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.88/73.49 | (415) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (2015) all_389_0_441 = 0 & mem(all_137_1_87, e) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (2015) yields: % 132.88/73.49 | (2000) all_389_0_441 = 0 % 132.88/73.49 | (460) mem(all_137_1_87, e) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.88/73.49 | (415) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (2019) all_346_0_437 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (2019) yields: % 132.88/73.49 | (1971) all_346_0_437 = 0 % 132.88/73.49 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 132.88/73.49 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 132.88/73.49 | % 132.88/73.49 | Instantiating (573) with all_378_0_444 yields: % 132.88/73.49 | (2023) (all_378_0_444 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_378_0_444 = 0 & mem(all_112_1_81, e) = 0) % 132.88/73.49 | % 132.88/73.49 +-Applying beta-rule and splitting (1957), into two cases. % 132.88/73.49 |-Branch one: % 132.88/73.49 | (1975) all_354_0_438 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1975) yields: % 132.88/73.49 | (1976) all_354_0_438 = 0 % 132.88/73.49 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 132.88/73.49 | (374) all_137_1_87 = all_0_5_5 % 132.88/73.49 | % 132.88/73.49 | From (374) and (229) follows: % 132.88/73.49 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 132.88/73.49 | % 132.88/73.49 +-Applying beta-rule and splitting (1969), into two cases. % 132.88/73.49 |-Branch one: % 132.88/73.49 | (1987) all_362_0_439 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1987) yields: % 132.88/73.49 | (1988) all_362_0_439 = 0 % 132.88/73.49 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.88/73.49 | (379) all_183_1_101 = all_0_5_5 % 132.88/73.49 | % 132.88/73.49 | From (379) and (258) follows: % 132.88/73.49 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 132.88/73.49 | (259) all_137_0_86 = 0 % 132.88/73.49 | % 132.88/73.49 | Equations (259) can reduce 228 to: % 132.88/73.49 | (173) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (1994) all_362_0_439 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1994) yields: % 132.88/73.49 | (1988) all_362_0_439 = 0 % 132.88/73.49 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.88/73.49 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.88/73.49 | % 132.88/73.49 | Instantiating (386) with all_397_0_445 yields: % 132.88/73.49 | (2040) (all_397_0_445 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_397_0_445 = 0 & mem(all_183_1_101, e) = 0) % 132.88/73.49 | % 132.88/73.49 +-Applying beta-rule and splitting (2023), into two cases. % 132.88/73.49 |-Branch one: % 132.88/73.49 | (2041) all_378_0_444 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (2041) yields: % 132.88/73.49 | (2042) all_378_0_444 = 0 % 132.88/73.49 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.88/73.49 | (595) all_112_1_81 = e % 132.88/73.49 | % 132.88/73.49 | From (595) and (208) follows: % 132.88/73.49 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.88/73.49 | % 132.88/73.49 +-Applying beta-rule and splitting (2040), into two cases. % 132.88/73.49 |-Branch one: % 132.88/73.49 | (2046) all_397_0_445 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (2046) yields: % 132.88/73.49 | (2047) all_397_0_445 = 0 % 132.88/73.49 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.88/73.49 | (403) all_183_1_101 = e % 132.88/73.49 | % 132.88/73.49 | From (403) and (263) follows: % 132.88/73.49 | (601) mem(e, all_76_1_69) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.88/73.49 | (231) all_112_0_80 = 0 % 132.88/73.49 | % 132.88/73.49 | Equations (231) can reduce 207 to: % 132.88/73.49 | (173) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (2053) all_397_0_445 = 0 & mem(all_183_1_101, e) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (2053) yields: % 132.88/73.49 | (2047) all_397_0_445 = 0 % 132.88/73.49 | (418) mem(all_183_1_101, e) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.88/73.49 | (415) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (2057) all_378_0_444 = 0 & mem(all_112_1_81, e) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (2057) yields: % 132.88/73.49 | (2042) all_378_0_444 = 0 % 132.88/73.49 | (610) mem(all_112_1_81, e) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.88/73.49 | (415) $false % 132.88/73.49 | % 132.88/73.49 |-The branch is then unsatisfiable % 132.88/73.49 |-Branch two: % 132.88/73.49 | (1982) all_354_0_438 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Applying alpha-rule on (1982) yields: % 132.88/73.49 | (1976) all_354_0_438 = 0 % 132.88/73.49 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 132.88/73.49 | % 132.88/73.49 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 132.88/73.49 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 132.88/73.49 | % 132.88/73.49 | Instantiating (423) with all_386_0_447 yields: % 132.88/73.49 | (2065) (all_386_0_447 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_386_0_447 = 0 & mem(all_137_1_87, e) = 0) % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (2023), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (2041) all_378_0_444 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2041) yields: % 132.88/73.50 | (2042) all_378_0_444 = 0 % 132.88/73.50 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 132.88/73.50 | (595) all_112_1_81 = e % 132.88/73.50 | % 132.88/73.50 | From (595) and (208) follows: % 132.88/73.50 | (596) mem(e, all_76_1_69) = all_112_0_80 % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (2065), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (2071) all_386_0_447 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2071) yields: % 132.88/73.50 | (2072) all_386_0_447 = 0 % 132.88/73.50 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 132.88/73.50 | (445) all_137_1_87 = e % 132.88/73.50 | % 132.88/73.50 | From (445) and (230) follows: % 132.88/73.50 | (601) mem(e, all_76_1_69) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 132.88/73.50 | (231) all_112_0_80 = 0 % 132.88/73.50 | % 132.88/73.50 | Equations (231) can reduce 207 to: % 132.88/73.50 | (173) $false % 132.88/73.50 | % 132.88/73.50 |-The branch is then unsatisfiable % 132.88/73.50 |-Branch two: % 132.88/73.50 | (2078) all_386_0_447 = 0 & mem(all_137_1_87, e) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2078) yields: % 132.88/73.50 | (2072) all_386_0_447 = 0 % 132.88/73.50 | (460) mem(all_137_1_87, e) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 132.88/73.50 | (415) $false % 132.88/73.50 | % 132.88/73.50 |-The branch is then unsatisfiable % 132.88/73.50 |-Branch two: % 132.88/73.50 | (2057) all_378_0_444 = 0 & mem(all_112_1_81, e) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2057) yields: % 132.88/73.50 | (2042) all_378_0_444 = 0 % 132.88/73.50 | (610) mem(all_112_1_81, e) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 132.88/73.50 | (415) $false % 132.88/73.50 | % 132.88/73.50 |-The branch is then unsatisfiable % 132.88/73.50 |-Branch two: % 132.88/73.50 | (1110) all_228_0_225 = 0 & mem(all_87_1_73, all_0_4_4) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (1110) yields: % 132.88/73.50 | (918) all_228_0_225 = 0 % 132.88/73.50 | (1112) mem(all_87_1_73, all_0_4_4) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_87_1_73, all_0_4_4) = 0, yields: % 132.88/73.50 | (1113) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_0_2_2) = 0) | (v0 = 0 & mem(all_87_1_73, all_0_5_5) = 0)) % 132.88/73.50 | % 132.88/73.50 | Instantiating (1113) with all_283_0_449 yields: % 132.88/73.50 | (2090) (all_283_0_449 = 0 & mem(all_87_1_73, all_0_2_2) = 0) | (all_283_0_449 = 0 & mem(all_87_1_73, all_0_5_5) = 0) % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (904), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (922) all_229_0_226 = 0 & mem(all_137_1_87, all_57_0_60) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (922) yields: % 132.88/73.50 | (923) all_229_0_226 = 0 % 132.88/73.50 | (296) mem(all_137_1_87, all_57_0_60) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_137_1_87 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_137_1_87, all_57_0_60) = 0, yields: % 132.88/73.50 | (297) all_137_1_87 = all_0_1_1 % 132.88/73.50 | % 132.88/73.50 | From (297) and (229) follows: % 132.88/73.50 | (1578) mem(all_0_1_1, all_101_1_77) = all_137_0_86 % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (909), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (934) all_254_0_230 = 0 & mem(all_183_1_101, all_57_0_60) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (934) yields: % 132.88/73.50 | (935) all_254_0_230 = 0 % 132.88/73.50 | (308) mem(all_183_1_101, all_57_0_60) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_183_1_101 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_183_1_101, all_57_0_60) = 0, yields: % 132.88/73.50 | (309) all_183_1_101 = all_0_1_1 % 132.88/73.50 | % 132.88/73.50 | From (309) and (258) follows: % 132.88/73.50 | (1583) mem(all_0_1_1, all_101_1_77) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (31) with all_0_1_1, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_1_1, all_101_1_77) = all_137_0_86, mem(all_0_1_1, all_101_1_77) = 0, yields: % 132.88/73.50 | (259) all_137_0_86 = 0 % 132.88/73.50 | % 132.88/73.50 | Equations (259) can reduce 228 to: % 132.88/73.50 | (173) $false % 132.88/73.50 | % 132.88/73.50 |-The branch is then unsatisfiable % 132.88/73.50 |-Branch two: % 132.88/73.50 | (941) all_254_0_230 = 0 & mem(all_183_1_101, all_0_3_3) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (941) yields: % 132.88/73.50 | (935) all_254_0_230 = 0 % 132.88/73.50 | (315) mem(all_183_1_101, all_0_3_3) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_183_1_101, all_0_3_3) = 0, yields: % 132.88/73.50 | (316) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_4_4) = 0)) % 132.88/73.50 | % 132.88/73.50 | Instantiating (316) with all_302_0_450 yields: % 132.88/73.50 | (2107) (all_302_0_450 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (all_302_0_450 = 0 & mem(all_183_1_101, all_0_4_4) = 0) % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (911), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (946) all_261_0_231 = 0 & mem(all_167_2_96, all_57_0_60) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (946) yields: % 132.88/73.50 | (947) all_261_0_231 = 0 % 132.88/73.50 | (320) mem(all_167_2_96, all_57_0_60) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_167_2_96 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_167_2_96, all_57_0_60) = 0, yields: % 132.88/73.50 | (321) all_167_2_96 = all_0_1_1 % 132.88/73.50 | % 132.88/73.50 | From (321) and (264) follows: % 132.88/73.50 | (1583) mem(all_0_1_1, all_101_1_77) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (31) with all_0_1_1, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_1_1, all_101_1_77) = all_137_0_86, mem(all_0_1_1, all_101_1_77) = 0, yields: % 132.88/73.50 | (259) all_137_0_86 = 0 % 132.88/73.50 | % 132.88/73.50 | Equations (259) can reduce 228 to: % 132.88/73.50 | (173) $false % 132.88/73.50 | % 132.88/73.50 |-The branch is then unsatisfiable % 132.88/73.50 |-Branch two: % 132.88/73.50 | (953) all_261_0_231 = 0 & mem(all_167_2_96, all_0_3_3) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (953) yields: % 132.88/73.50 | (947) all_261_0_231 = 0 % 132.88/73.50 | (327) mem(all_167_2_96, all_0_3_3) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_167_2_96, all_0_3_3) = 0, yields: % 132.88/73.50 | (328) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_4_4) = 0)) % 132.88/73.50 | % 132.88/73.50 | Instantiating (328) with all_310_0_451 yields: % 132.88/73.50 | (2119) (all_310_0_451 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (all_310_0_451 = 0 & mem(all_167_2_96, all_0_4_4) = 0) % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (1568), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (1603) all_275_0_368 = 0 & mem(all_112_1_81, all_72_0_66) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (1603) yields: % 132.88/73.50 | (1604) all_275_0_368 = 0 % 132.88/73.50 | (332) mem(all_112_1_81, all_72_0_66) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_112_1_81, all_72_0_66) = 0, yields: % 132.88/73.50 | (333) all_112_1_81 = all_0_4_4 % 132.88/73.50 | % 132.88/73.50 | From (333) and (208) follows: % 132.88/73.50 | (334) mem(all_0_4_4, all_76_1_69) = all_112_0_80 % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (2090), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (2125) all_283_0_449 = 0 & mem(all_87_1_73, all_0_2_2) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2125) yields: % 132.88/73.50 | (2126) all_283_0_449 = 0 % 132.88/73.50 | (1153) mem(all_87_1_73, all_0_2_2) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_87_1_73, all_0_2_2) = 0, yields: % 132.88/73.50 | (1154) all_87_1_73 = all_0_5_5 % 132.88/73.50 | % 132.88/73.50 | From (1154) and (182) follows: % 132.88/73.50 | (1155) mem(all_0_5_5, all_59_1_62) = all_87_0_72 % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (2107), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (2130) all_302_0_450 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2130) yields: % 132.88/73.50 | (2131) all_302_0_450 = 0 % 132.88/73.50 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.88/73.50 | (350) all_183_1_101 = all_0_4_4 % 132.88/73.50 | % 132.88/73.50 | From (350) and (263) follows: % 132.88/73.50 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 132.88/73.50 | (231) all_112_0_80 = 0 % 132.88/73.50 | % 132.88/73.50 | Equations (231) can reduce 207 to: % 132.88/73.50 | (173) $false % 132.88/73.50 | % 132.88/73.50 |-The branch is then unsatisfiable % 132.88/73.50 |-Branch two: % 132.88/73.50 | (2137) all_302_0_450 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2137) yields: % 132.88/73.50 | (2131) all_302_0_450 = 0 % 132.88/73.50 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.88/73.50 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.88/73.50 | % 132.88/73.50 | Instantiating (357) with all_348_0_453 yields: % 132.88/73.50 | (2141) (all_348_0_453 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_348_0_453 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (2119), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (2142) all_310_0_451 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2142) yields: % 132.88/73.50 | (2143) all_310_0_451 = 0 % 132.88/73.50 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.88/73.50 | (362) all_167_2_96 = all_0_4_4 % 132.88/73.50 | % 132.88/73.50 | From (362) and (272) follows: % 132.88/73.50 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 132.88/73.50 | (231) all_112_0_80 = 0 % 132.88/73.50 | % 132.88/73.50 | Equations (231) can reduce 207 to: % 132.88/73.50 | (173) $false % 132.88/73.50 | % 132.88/73.50 |-The branch is then unsatisfiable % 132.88/73.50 |-Branch two: % 132.88/73.50 | (2149) all_310_0_451 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2149) yields: % 132.88/73.50 | (2143) all_310_0_451 = 0 % 132.88/73.50 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 132.88/73.50 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 132.88/73.50 | % 132.88/73.50 | Instantiating (369) with all_356_0_454 yields: % 132.88/73.50 | (2153) (all_356_0_454 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_356_0_454 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 132.88/73.50 | % 132.88/73.50 +-Applying beta-rule and splitting (2141), into two cases. % 132.88/73.50 |-Branch one: % 132.88/73.50 | (2154) all_348_0_453 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2154) yields: % 132.88/73.50 | (2155) all_348_0_453 = 0 % 132.88/73.50 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 132.88/73.50 | (379) all_183_1_101 = all_0_5_5 % 132.88/73.50 | % 132.88/73.50 | From (379) and (271) follows: % 132.88/73.50 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 132.88/73.50 | (210) all_87_0_72 = 0 % 132.88/73.50 | % 132.88/73.50 | Equations (210) can reduce 181 to: % 132.88/73.50 | (173) $false % 132.88/73.50 | % 132.88/73.50 |-The branch is then unsatisfiable % 132.88/73.50 |-Branch two: % 132.88/73.50 | (2161) all_348_0_453 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.50 | % 132.88/73.50 | Applying alpha-rule on (2161) yields: % 132.88/73.50 | (2155) all_348_0_453 = 0 % 132.88/73.50 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 132.88/73.50 | % 132.88/73.50 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 132.88/73.51 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 132.88/73.51 | % 132.88/73.51 | Instantiating (386) with all_372_0_456 yields: % 132.88/73.51 | (2165) (all_372_0_456 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_372_0_456 = 0 & mem(all_183_1_101, e) = 0) % 132.88/73.51 | % 132.88/73.51 +-Applying beta-rule and splitting (2153), into two cases. % 132.88/73.51 |-Branch one: % 132.88/73.51 | (2166) all_356_0_454 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2166) yields: % 132.88/73.51 | (2167) all_356_0_454 = 0 % 132.88/73.51 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 132.88/73.51 | (391) all_167_2_96 = all_0_5_5 % 132.88/73.51 | % 132.88/73.51 | From (391) and (276) follows: % 132.88/73.51 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 132.88/73.51 | (210) all_87_0_72 = 0 % 132.88/73.51 | % 132.88/73.51 | Equations (210) can reduce 181 to: % 132.88/73.51 | (173) $false % 132.88/73.51 | % 132.88/73.51 |-The branch is then unsatisfiable % 132.88/73.51 |-Branch two: % 132.88/73.51 | (2173) all_356_0_454 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2173) yields: % 132.88/73.51 | (2167) all_356_0_454 = 0 % 132.88/73.51 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 132.88/73.51 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 132.88/73.51 | % 132.88/73.51 | Instantiating (398) with all_380_0_457 yields: % 132.88/73.51 | (2177) (all_380_0_457 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_457 = 0 & mem(all_167_2_96, e) = 0) % 132.88/73.51 | % 132.88/73.51 +-Applying beta-rule and splitting (2165), into two cases. % 132.88/73.51 |-Branch one: % 132.88/73.51 | (2178) all_372_0_456 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2178) yields: % 132.88/73.51 | (2179) all_372_0_456 = 0 % 132.88/73.51 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 132.88/73.51 | (403) all_183_1_101 = e % 132.88/73.51 | % 132.88/73.51 | From (403) and (257) follows: % 132.88/73.51 | (404) mem(e, all_131_1_85) = all_183_0_100 % 132.88/73.51 | % 132.88/73.51 +-Applying beta-rule and splitting (2177), into two cases. % 132.88/73.51 |-Branch one: % 132.88/73.51 | (2183) all_380_0_457 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2183) yields: % 132.88/73.51 | (2184) all_380_0_457 = 0 % 132.88/73.51 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 132.88/73.51 | (408) all_167_2_96 = e % 132.88/73.51 | % 132.88/73.51 | From (408) and (246) follows: % 132.88/73.51 | (409) mem(e, all_131_1_85) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (31) with e, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(e, all_131_1_85) = all_183_0_100, mem(e, all_131_1_85) = 0, yields: % 132.88/73.51 | (410) all_183_0_100 = 0 % 132.88/73.51 | % 132.88/73.51 | Equations (410) can reduce 256 to: % 132.88/73.51 | (173) $false % 132.88/73.51 | % 132.88/73.51 |-The branch is then unsatisfiable % 132.88/73.51 |-Branch two: % 132.88/73.51 | (2190) all_380_0_457 = 0 & mem(all_167_2_96, e) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2190) yields: % 132.88/73.51 | (2184) all_380_0_457 = 0 % 132.88/73.51 | (414) mem(all_167_2_96, e) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 132.88/73.51 | (415) $false % 132.88/73.51 | % 132.88/73.51 |-The branch is then unsatisfiable % 132.88/73.51 |-Branch two: % 132.88/73.51 | (2194) all_372_0_456 = 0 & mem(all_183_1_101, e) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2194) yields: % 132.88/73.51 | (2179) all_372_0_456 = 0 % 132.88/73.51 | (418) mem(all_183_1_101, e) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 132.88/73.51 | (415) $false % 132.88/73.51 | % 132.88/73.51 |-The branch is then unsatisfiable % 132.88/73.51 |-Branch two: % 132.88/73.51 | (2198) all_283_0_449 = 0 & mem(all_87_1_73, all_0_5_5) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2198) yields: % 132.88/73.51 | (2126) all_283_0_449 = 0 % 132.88/73.51 | (1346) mem(all_87_1_73, all_0_5_5) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_87_1_73 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_87_1_73, all_0_5_5) = 0, yields: % 132.88/73.51 | (1347) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (v0 = 0 & mem(all_87_1_73, e) = 0)) % 132.88/73.51 | % 132.88/73.51 | Instantiating (1347) with all_337_0_459 yields: % 132.88/73.51 | (2202) (all_337_0_459 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (all_337_0_459 = 0 & mem(all_87_1_73, e) = 0) % 132.88/73.51 | % 132.88/73.51 +-Applying beta-rule and splitting (2107), into two cases. % 132.88/73.51 |-Branch one: % 132.88/73.51 | (2130) all_302_0_450 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2130) yields: % 132.88/73.51 | (2131) all_302_0_450 = 0 % 132.88/73.51 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 132.88/73.51 | (350) all_183_1_101 = all_0_4_4 % 132.88/73.51 | % 132.88/73.51 | From (350) and (263) follows: % 132.88/73.51 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 132.88/73.51 | (231) all_112_0_80 = 0 % 132.88/73.51 | % 132.88/73.51 | Equations (231) can reduce 207 to: % 132.88/73.51 | (173) $false % 132.88/73.51 | % 132.88/73.51 |-The branch is then unsatisfiable % 132.88/73.51 |-Branch two: % 132.88/73.51 | (2137) all_302_0_450 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2137) yields: % 132.88/73.51 | (2131) all_302_0_450 = 0 % 132.88/73.51 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 132.88/73.51 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 132.88/73.51 | % 132.88/73.51 | Instantiating (357) with all_345_0_460 yields: % 132.88/73.51 | (2214) (all_345_0_460 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_345_0_460 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 132.88/73.51 | % 132.88/73.51 +-Applying beta-rule and splitting (2119), into two cases. % 132.88/73.51 |-Branch one: % 132.88/73.51 | (2142) all_310_0_451 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2142) yields: % 132.88/73.51 | (2143) all_310_0_451 = 0 % 132.88/73.51 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 132.88/73.51 | (362) all_167_2_96 = all_0_4_4 % 132.88/73.51 | % 132.88/73.51 | From (362) and (272) follows: % 132.88/73.51 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 132.88/73.51 | % 132.88/73.51 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 132.88/73.51 | (231) all_112_0_80 = 0 % 132.88/73.51 | % 132.88/73.51 | Equations (231) can reduce 207 to: % 132.88/73.51 | (173) $false % 132.88/73.51 | % 132.88/73.51 |-The branch is then unsatisfiable % 132.88/73.51 |-Branch two: % 132.88/73.51 | (2149) all_310_0_451 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 132.88/73.51 | % 132.88/73.51 | Applying alpha-rule on (2149) yields: % 133.21/73.51 | (2143) all_310_0_451 = 0 % 133.21/73.51 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.51 | % 133.21/73.51 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 133.21/73.51 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 133.21/73.51 | % 133.21/73.51 | Instantiating (369) with all_353_0_461 yields: % 133.21/73.51 | (2226) (all_353_0_461 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_353_0_461 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 133.21/73.51 | % 133.21/73.51 +-Applying beta-rule and splitting (2202), into two cases. % 133.21/73.51 |-Branch one: % 133.21/73.51 | (2227) all_337_0_459 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.51 | % 133.21/73.51 | Applying alpha-rule on (2227) yields: % 133.21/73.51 | (2228) all_337_0_459 = 0 % 133.21/73.51 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.51 | % 133.21/73.51 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.21/73.51 | (1381) all_87_1_73 = e % 133.21/73.51 | % 133.21/73.51 | From (1381) and (182) follows: % 133.21/73.51 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.21/73.51 | % 133.21/73.51 +-Applying beta-rule and splitting (2214), into two cases. % 133.21/73.51 |-Branch one: % 133.21/73.51 | (2232) all_345_0_460 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 133.21/73.51 | % 133.21/73.51 | Applying alpha-rule on (2232) yields: % 133.21/73.51 | (2233) all_345_0_460 = 0 % 133.21/73.51 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 133.21/73.51 | % 133.21/73.51 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 133.21/73.51 | (379) all_183_1_101 = all_0_5_5 % 133.21/73.51 | % 133.21/73.51 | From (379) and (257) follows: % 133.21/73.51 | (429) mem(all_0_5_5, all_131_1_85) = all_183_0_100 % 133.21/73.51 | % 133.21/73.51 +-Applying beta-rule and splitting (2226), into two cases. % 133.21/73.51 |-Branch one: % 133.21/73.51 | (2237) all_353_0_461 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.51 | % 133.21/73.51 | Applying alpha-rule on (2237) yields: % 133.21/73.51 | (2238) all_353_0_461 = 0 % 133.21/73.51 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.51 | % 133.21/73.51 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 133.21/73.51 | (391) all_167_2_96 = all_0_5_5 % 133.21/73.51 | % 133.21/73.51 | From (391) and (246) follows: % 133.21/73.51 | (434) mem(all_0_5_5, all_131_1_85) = 0 % 133.21/73.51 | % 133.21/73.51 | Instantiating formula (31) with all_0_5_5, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_5_5, all_131_1_85) = all_183_0_100, mem(all_0_5_5, all_131_1_85) = 0, yields: % 133.21/73.51 | (410) all_183_0_100 = 0 % 133.21/73.51 | % 133.21/73.51 | Equations (410) can reduce 256 to: % 133.21/73.51 | (173) $false % 133.21/73.51 | % 133.21/73.51 |-The branch is then unsatisfiable % 133.21/73.51 |-Branch two: % 133.21/73.51 | (2244) all_353_0_461 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.51 | % 133.21/73.51 | Applying alpha-rule on (2244) yields: % 133.21/73.51 | (2238) all_353_0_461 = 0 % 133.21/73.51 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.51 | % 133.21/73.51 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 133.21/73.51 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 133.21/73.51 | % 133.21/73.51 | Instantiating (398) with all_391_0_463 yields: % 133.21/73.51 | (2248) (all_391_0_463 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_391_0_463 = 0 & mem(all_167_2_96, e) = 0) % 133.21/73.51 | % 133.21/73.51 +-Applying beta-rule and splitting (2248), into two cases. % 133.21/73.51 |-Branch one: % 133.21/73.51 | (2249) all_391_0_463 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.51 | % 133.21/73.51 | Applying alpha-rule on (2249) yields: % 133.21/73.51 | (2250) all_391_0_463 = 0 % 133.21/73.51 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.51 | % 133.21/73.51 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 133.21/73.52 | (408) all_167_2_96 = e % 133.21/73.52 | % 133.21/73.52 | From (408) and (276) follows: % 133.21/73.52 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.52 | (210) all_87_0_72 = 0 % 133.21/73.52 | % 133.21/73.52 | Equations (210) can reduce 181 to: % 133.21/73.52 | (173) $false % 133.21/73.52 | % 133.21/73.52 |-The branch is then unsatisfiable % 133.21/73.52 |-Branch two: % 133.21/73.52 | (2256) all_391_0_463 = 0 & mem(all_167_2_96, e) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2256) yields: % 133.21/73.52 | (2250) all_391_0_463 = 0 % 133.21/73.52 | (414) mem(all_167_2_96, e) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 133.21/73.52 | (415) $false % 133.21/73.52 | % 133.21/73.52 |-The branch is then unsatisfiable % 133.21/73.52 |-Branch two: % 133.21/73.52 | (2260) all_345_0_460 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2260) yields: % 133.21/73.52 | (2233) all_345_0_460 = 0 % 133.21/73.52 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 133.21/73.52 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 133.21/73.52 | % 133.21/73.52 | Instantiating (386) with all_380_0_465 yields: % 133.21/73.52 | (2264) (all_380_0_465 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_380_0_465 = 0 & mem(all_183_1_101, e) = 0) % 133.21/73.52 | % 133.21/73.52 +-Applying beta-rule and splitting (2264), into two cases. % 133.21/73.52 |-Branch one: % 133.21/73.52 | (2265) all_380_0_465 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2265) yields: % 133.21/73.52 | (2266) all_380_0_465 = 0 % 133.21/73.52 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 133.21/73.52 | (403) all_183_1_101 = e % 133.21/73.52 | % 133.21/73.52 | From (403) and (271) follows: % 133.21/73.52 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.52 | (210) all_87_0_72 = 0 % 133.21/73.52 | % 133.21/73.52 | Equations (210) can reduce 181 to: % 133.21/73.52 | (173) $false % 133.21/73.52 | % 133.21/73.52 |-The branch is then unsatisfiable % 133.21/73.52 |-Branch two: % 133.21/73.52 | (2272) all_380_0_465 = 0 & mem(all_183_1_101, e) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2272) yields: % 133.21/73.52 | (2266) all_380_0_465 = 0 % 133.21/73.52 | (418) mem(all_183_1_101, e) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 133.21/73.52 | (415) $false % 133.21/73.52 | % 133.21/73.52 |-The branch is then unsatisfiable % 133.21/73.52 |-Branch two: % 133.21/73.52 | (2276) all_337_0_459 = 0 & mem(all_87_1_73, e) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2276) yields: % 133.21/73.52 | (2228) all_337_0_459 = 0 % 133.21/73.52 | (1429) mem(all_87_1_73, e) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.21/73.52 | (415) $false % 133.21/73.52 | % 133.21/73.52 |-The branch is then unsatisfiable % 133.21/73.52 |-Branch two: % 133.21/73.52 | (1610) all_275_0_368 = 0 & mem(all_112_1_81, all_0_4_4) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (1610) yields: % 133.21/73.52 | (1604) all_275_0_368 = 0 % 133.21/73.52 | (489) mem(all_112_1_81, all_0_4_4) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_112_1_81, all_0_4_4) = 0, yields: % 133.21/73.52 | (490) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_5_5) = 0)) % 133.21/73.52 | % 133.21/73.52 | Instantiating (490) with all_326_0_479 yields: % 133.21/73.52 | (2284) (all_326_0_479 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (all_326_0_479 = 0 & mem(all_112_1_81, all_0_5_5) = 0) % 133.21/73.52 | % 133.21/73.52 +-Applying beta-rule and splitting (2090), into two cases. % 133.21/73.52 |-Branch one: % 133.21/73.52 | (2125) all_283_0_449 = 0 & mem(all_87_1_73, all_0_2_2) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2125) yields: % 133.21/73.52 | (2126) all_283_0_449 = 0 % 133.21/73.52 | (1153) mem(all_87_1_73, all_0_2_2) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_87_1_73, all_0_2_2) = 0, yields: % 133.21/73.52 | (1154) all_87_1_73 = all_0_5_5 % 133.21/73.52 | % 133.21/73.52 | From (1154) and (182) follows: % 133.21/73.52 | (1155) mem(all_0_5_5, all_59_1_62) = all_87_0_72 % 133.21/73.52 | % 133.21/73.52 +-Applying beta-rule and splitting (2107), into two cases. % 133.21/73.52 |-Branch one: % 133.21/73.52 | (2130) all_302_0_450 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2130) yields: % 133.21/73.52 | (2131) all_302_0_450 = 0 % 133.21/73.52 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 133.21/73.52 | (350) all_183_1_101 = all_0_4_4 % 133.21/73.52 | % 133.21/73.52 | From (350) and (257) follows: % 133.21/73.52 | (646) mem(all_0_4_4, all_131_1_85) = all_183_0_100 % 133.21/73.52 | % 133.21/73.52 +-Applying beta-rule and splitting (2119), into two cases. % 133.21/73.52 |-Branch one: % 133.21/73.52 | (2142) all_310_0_451 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2142) yields: % 133.21/73.52 | (2143) all_310_0_451 = 0 % 133.21/73.52 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 133.21/73.52 | (362) all_167_2_96 = all_0_4_4 % 133.21/73.52 | % 133.21/73.52 | From (362) and (246) follows: % 133.21/73.52 | (651) mem(all_0_4_4, all_131_1_85) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (31) with all_0_4_4, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_4_4, all_131_1_85) = all_183_0_100, mem(all_0_4_4, all_131_1_85) = 0, yields: % 133.21/73.52 | (410) all_183_0_100 = 0 % 133.21/73.52 | % 133.21/73.52 | Equations (410) can reduce 256 to: % 133.21/73.52 | (173) $false % 133.21/73.52 | % 133.21/73.52 |-The branch is then unsatisfiable % 133.21/73.52 |-Branch two: % 133.21/73.52 | (2149) all_310_0_451 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2149) yields: % 133.21/73.52 | (2143) all_310_0_451 = 0 % 133.21/73.52 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 133.21/73.52 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 133.21/73.52 | % 133.21/73.52 | Instantiating (369) with all_356_0_480 yields: % 133.21/73.52 | (2306) (all_356_0_480 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_356_0_480 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 133.21/73.52 | % 133.21/73.52 +-Applying beta-rule and splitting (2284), into two cases. % 133.21/73.52 |-Branch one: % 133.21/73.52 | (2307) all_326_0_479 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2307) yields: % 133.21/73.52 | (2308) all_326_0_479 = 0 % 133.21/73.52 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.21/73.52 | (524) all_112_1_81 = all_0_5_5 % 133.21/73.52 | % 133.21/73.52 | From (524) and (209) follows: % 133.21/73.52 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.52 | (210) all_87_0_72 = 0 % 133.21/73.52 | % 133.21/73.52 | Equations (210) can reduce 181 to: % 133.21/73.52 | (173) $false % 133.21/73.52 | % 133.21/73.52 |-The branch is then unsatisfiable % 133.21/73.52 |-Branch two: % 133.21/73.52 | (2314) all_326_0_479 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2314) yields: % 133.21/73.52 | (2308) all_326_0_479 = 0 % 133.21/73.52 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.21/73.52 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.21/73.52 | % 133.21/73.52 | Instantiating (573) with all_372_0_482 yields: % 133.21/73.52 | (2318) (all_372_0_482 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_372_0_482 = 0 & mem(all_112_1_81, e) = 0) % 133.21/73.52 | % 133.21/73.52 +-Applying beta-rule and splitting (2306), into two cases. % 133.21/73.52 |-Branch one: % 133.21/73.52 | (2319) all_356_0_480 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2319) yields: % 133.21/73.52 | (2320) all_356_0_480 = 0 % 133.21/73.52 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 133.21/73.52 | (391) all_167_2_96 = all_0_5_5 % 133.21/73.52 | % 133.21/73.52 | From (391) and (276) follows: % 133.21/73.52 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.52 | (210) all_87_0_72 = 0 % 133.21/73.52 | % 133.21/73.52 | Equations (210) can reduce 181 to: % 133.21/73.52 | (173) $false % 133.21/73.52 | % 133.21/73.52 |-The branch is then unsatisfiable % 133.21/73.52 |-Branch two: % 133.21/73.52 | (2326) all_356_0_480 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2326) yields: % 133.21/73.52 | (2320) all_356_0_480 = 0 % 133.21/73.52 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 133.21/73.52 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 133.21/73.52 | % 133.21/73.52 | Instantiating (398) with all_380_0_483 yields: % 133.21/73.52 | (2330) (all_380_0_483 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_483 = 0 & mem(all_167_2_96, e) = 0) % 133.21/73.52 | % 133.21/73.52 +-Applying beta-rule and splitting (2318), into two cases. % 133.21/73.52 |-Branch one: % 133.21/73.52 | (2331) all_372_0_482 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2331) yields: % 133.21/73.52 | (2332) all_372_0_482 = 0 % 133.21/73.52 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.52 | % 133.21/73.52 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.21/73.52 | (595) all_112_1_81 = e % 133.21/73.52 | % 133.21/73.52 | From (595) and (208) follows: % 133.21/73.52 | (596) mem(e, all_76_1_69) = all_112_0_80 % 133.21/73.52 | % 133.21/73.52 +-Applying beta-rule and splitting (2330), into two cases. % 133.21/73.52 |-Branch one: % 133.21/73.52 | (2336) all_380_0_483 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.52 | % 133.21/73.52 | Applying alpha-rule on (2336) yields: % 133.21/73.52 | (2337) all_380_0_483 = 0 % 133.21/73.53 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 133.21/73.53 | (408) all_167_2_96 = e % 133.21/73.53 | % 133.21/73.53 | From (408) and (272) follows: % 133.21/73.53 | (601) mem(e, all_76_1_69) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 133.21/73.53 | (231) all_112_0_80 = 0 % 133.21/73.53 | % 133.21/73.53 | Equations (231) can reduce 207 to: % 133.21/73.53 | (173) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2343) all_380_0_483 = 0 & mem(all_167_2_96, e) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2343) yields: % 133.21/73.53 | (2337) all_380_0_483 = 0 % 133.21/73.53 | (414) mem(all_167_2_96, e) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 133.21/73.53 | (415) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2347) all_372_0_482 = 0 & mem(all_112_1_81, e) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2347) yields: % 133.21/73.53 | (2332) all_372_0_482 = 0 % 133.21/73.53 | (610) mem(all_112_1_81, e) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.21/73.53 | (415) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2137) all_302_0_450 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2137) yields: % 133.21/73.53 | (2131) all_302_0_450 = 0 % 133.21/73.53 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 133.21/73.53 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 133.21/73.53 | % 133.21/73.53 | Instantiating (357) with all_345_0_485 yields: % 133.21/73.53 | (2355) (all_345_0_485 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_345_0_485 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 133.21/73.53 | % 133.21/73.53 +-Applying beta-rule and splitting (2284), into two cases. % 133.21/73.53 |-Branch one: % 133.21/73.53 | (2307) all_326_0_479 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2307) yields: % 133.21/73.53 | (2308) all_326_0_479 = 0 % 133.21/73.53 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.21/73.53 | (524) all_112_1_81 = all_0_5_5 % 133.21/73.53 | % 133.21/73.53 | From (524) and (209) follows: % 133.21/73.53 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.53 | (210) all_87_0_72 = 0 % 133.21/73.53 | % 133.21/73.53 | Equations (210) can reduce 181 to: % 133.21/73.53 | (173) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2314) all_326_0_479 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2314) yields: % 133.21/73.53 | (2308) all_326_0_479 = 0 % 133.21/73.53 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.21/73.53 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.21/73.53 | % 133.21/73.53 | Instantiating (573) with all_394_0_503 yields: % 133.21/73.53 | (2367) (all_394_0_503 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_394_0_503 = 0 & mem(all_112_1_81, e) = 0) % 133.21/73.53 | % 133.21/73.53 +-Applying beta-rule and splitting (2355), into two cases. % 133.21/73.53 |-Branch one: % 133.21/73.53 | (2368) all_345_0_485 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2368) yields: % 133.21/73.53 | (2369) all_345_0_485 = 0 % 133.21/73.53 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 133.21/73.53 | (379) all_183_1_101 = all_0_5_5 % 133.21/73.53 | % 133.21/73.53 | From (379) and (271) follows: % 133.21/73.53 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.53 | (210) all_87_0_72 = 0 % 133.21/73.53 | % 133.21/73.53 | Equations (210) can reduce 181 to: % 133.21/73.53 | (173) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2375) all_345_0_485 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2375) yields: % 133.21/73.53 | (2369) all_345_0_485 = 0 % 133.21/73.53 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 133.21/73.53 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 133.21/73.53 | % 133.21/73.53 | Instantiating (386) with all_408_0_508 yields: % 133.21/73.53 | (2379) (all_408_0_508 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_408_0_508 = 0 & mem(all_183_1_101, e) = 0) % 133.21/73.53 | % 133.21/73.53 +-Applying beta-rule and splitting (2367), into two cases. % 133.21/73.53 |-Branch one: % 133.21/73.53 | (2380) all_394_0_503 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2380) yields: % 133.21/73.53 | (2381) all_394_0_503 = 0 % 133.21/73.53 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.21/73.53 | (595) all_112_1_81 = e % 133.21/73.53 | % 133.21/73.53 | From (595) and (208) follows: % 133.21/73.53 | (596) mem(e, all_76_1_69) = all_112_0_80 % 133.21/73.53 | % 133.21/73.53 +-Applying beta-rule and splitting (2379), into two cases. % 133.21/73.53 |-Branch one: % 133.21/73.53 | (2385) all_408_0_508 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2385) yields: % 133.21/73.53 | (2386) all_408_0_508 = 0 % 133.21/73.53 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 133.21/73.53 | (403) all_183_1_101 = e % 133.21/73.53 | % 133.21/73.53 | From (403) and (263) follows: % 133.21/73.53 | (601) mem(e, all_76_1_69) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 133.21/73.53 | (231) all_112_0_80 = 0 % 133.21/73.53 | % 133.21/73.53 | Equations (231) can reduce 207 to: % 133.21/73.53 | (173) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2392) all_408_0_508 = 0 & mem(all_183_1_101, e) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2392) yields: % 133.21/73.53 | (2386) all_408_0_508 = 0 % 133.21/73.53 | (418) mem(all_183_1_101, e) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 133.21/73.53 | (415) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2396) all_394_0_503 = 0 & mem(all_112_1_81, e) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2396) yields: % 133.21/73.53 | (2381) all_394_0_503 = 0 % 133.21/73.53 | (610) mem(all_112_1_81, e) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.21/73.53 | (415) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2198) all_283_0_449 = 0 & mem(all_87_1_73, all_0_5_5) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2198) yields: % 133.21/73.53 | (2126) all_283_0_449 = 0 % 133.21/73.53 | (1346) mem(all_87_1_73, all_0_5_5) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_87_1_73 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_87_1_73, all_0_5_5) = 0, yields: % 133.21/73.53 | (1347) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (v0 = 0 & mem(all_87_1_73, e) = 0)) % 133.21/73.53 | % 133.21/73.53 | Instantiating (1347) with all_334_0_510 yields: % 133.21/73.53 | (2404) (all_334_0_510 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (all_334_0_510 = 0 & mem(all_87_1_73, e) = 0) % 133.21/73.53 | % 133.21/73.53 +-Applying beta-rule and splitting (2107), into two cases. % 133.21/73.53 |-Branch one: % 133.21/73.53 | (2130) all_302_0_450 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2130) yields: % 133.21/73.53 | (2131) all_302_0_450 = 0 % 133.21/73.53 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 133.21/73.53 | (350) all_183_1_101 = all_0_4_4 % 133.21/73.53 | % 133.21/73.53 | From (350) and (257) follows: % 133.21/73.53 | (646) mem(all_0_4_4, all_131_1_85) = all_183_0_100 % 133.21/73.53 | % 133.21/73.53 +-Applying beta-rule and splitting (2119), into two cases. % 133.21/73.53 |-Branch one: % 133.21/73.53 | (2142) all_310_0_451 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2142) yields: % 133.21/73.53 | (2143) all_310_0_451 = 0 % 133.21/73.53 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 133.21/73.53 | (362) all_167_2_96 = all_0_4_4 % 133.21/73.53 | % 133.21/73.53 | From (362) and (246) follows: % 133.21/73.53 | (651) mem(all_0_4_4, all_131_1_85) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (31) with all_0_4_4, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_4_4, all_131_1_85) = all_183_0_100, mem(all_0_4_4, all_131_1_85) = 0, yields: % 133.21/73.53 | (410) all_183_0_100 = 0 % 133.21/73.53 | % 133.21/73.53 | Equations (410) can reduce 256 to: % 133.21/73.53 | (173) $false % 133.21/73.53 | % 133.21/73.53 |-The branch is then unsatisfiable % 133.21/73.53 |-Branch two: % 133.21/73.53 | (2149) all_310_0_451 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2149) yields: % 133.21/73.53 | (2143) all_310_0_451 = 0 % 133.21/73.53 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.53 | % 133.21/73.53 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 133.21/73.53 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 133.21/73.53 | % 133.21/73.53 | Instantiating (369) with all_353_0_511 yields: % 133.21/73.53 | (2421) (all_353_0_511 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_353_0_511 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 133.21/73.53 | % 133.21/73.53 +-Applying beta-rule and splitting (2284), into two cases. % 133.21/73.53 |-Branch one: % 133.21/73.53 | (2307) all_326_0_479 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.53 | % 133.21/73.53 | Applying alpha-rule on (2307) yields: % 133.21/73.54 | (2308) all_326_0_479 = 0 % 133.21/73.54 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.21/73.54 | (524) all_112_1_81 = all_0_5_5 % 133.21/73.54 | % 133.21/73.54 | From (524) and (208) follows: % 133.21/73.54 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 133.21/73.54 | % 133.21/73.54 +-Applying beta-rule and splitting (2404), into two cases. % 133.21/73.54 |-Branch one: % 133.21/73.54 | (2427) all_334_0_510 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2427) yields: % 133.21/73.54 | (2428) all_334_0_510 = 0 % 133.21/73.54 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.21/73.54 | (1381) all_87_1_73 = e % 133.21/73.54 | % 133.21/73.54 | From (1381) and (182) follows: % 133.21/73.54 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.21/73.54 | % 133.21/73.54 +-Applying beta-rule and splitting (2421), into two cases. % 133.21/73.54 |-Branch one: % 133.21/73.54 | (2432) all_353_0_511 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2432) yields: % 133.21/73.54 | (2433) all_353_0_511 = 0 % 133.21/73.54 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 133.21/73.54 | (391) all_167_2_96 = all_0_5_5 % 133.21/73.54 | % 133.21/73.54 | From (391) and (272) follows: % 133.21/73.54 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 133.21/73.54 | (231) all_112_0_80 = 0 % 133.21/73.54 | % 133.21/73.54 | Equations (231) can reduce 207 to: % 133.21/73.54 | (173) $false % 133.21/73.54 | % 133.21/73.54 |-The branch is then unsatisfiable % 133.21/73.54 |-Branch two: % 133.21/73.54 | (2439) all_353_0_511 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2439) yields: % 133.21/73.54 | (2433) all_353_0_511 = 0 % 133.21/73.54 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 133.21/73.54 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 133.21/73.54 | % 133.21/73.54 | Instantiating (398) with all_391_0_513 yields: % 133.21/73.54 | (2443) (all_391_0_513 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_391_0_513 = 0 & mem(all_167_2_96, e) = 0) % 133.21/73.54 | % 133.21/73.54 +-Applying beta-rule and splitting (2443), into two cases. % 133.21/73.54 |-Branch one: % 133.21/73.54 | (2444) all_391_0_513 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2444) yields: % 133.21/73.54 | (2445) all_391_0_513 = 0 % 133.21/73.54 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 133.21/73.54 | (408) all_167_2_96 = e % 133.21/73.54 | % 133.21/73.54 | From (408) and (276) follows: % 133.21/73.54 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.54 | (210) all_87_0_72 = 0 % 133.21/73.54 | % 133.21/73.54 | Equations (210) can reduce 181 to: % 133.21/73.54 | (173) $false % 133.21/73.54 | % 133.21/73.54 |-The branch is then unsatisfiable % 133.21/73.54 |-Branch two: % 133.21/73.54 | (2451) all_391_0_513 = 0 & mem(all_167_2_96, e) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2451) yields: % 133.21/73.54 | (2445) all_391_0_513 = 0 % 133.21/73.54 | (414) mem(all_167_2_96, e) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 133.21/73.54 | (415) $false % 133.21/73.54 | % 133.21/73.54 |-The branch is then unsatisfiable % 133.21/73.54 |-Branch two: % 133.21/73.54 | (2455) all_334_0_510 = 0 & mem(all_87_1_73, e) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2455) yields: % 133.21/73.54 | (2428) all_334_0_510 = 0 % 133.21/73.54 | (1429) mem(all_87_1_73, e) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.21/73.54 | (415) $false % 133.21/73.54 | % 133.21/73.54 |-The branch is then unsatisfiable % 133.21/73.54 |-Branch two: % 133.21/73.54 | (2314) all_326_0_479 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2314) yields: % 133.21/73.54 | (2308) all_326_0_479 = 0 % 133.21/73.54 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.21/73.54 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.21/73.54 | % 133.21/73.54 | Instantiating (573) with all_369_0_515 yields: % 133.21/73.54 | (2463) (all_369_0_515 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_369_0_515 = 0 & mem(all_112_1_81, e) = 0) % 133.21/73.54 | % 133.21/73.54 +-Applying beta-rule and splitting (2404), into two cases. % 133.21/73.54 |-Branch one: % 133.21/73.54 | (2427) all_334_0_510 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2427) yields: % 133.21/73.54 | (2428) all_334_0_510 = 0 % 133.21/73.54 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.21/73.54 | (1381) all_87_1_73 = e % 133.21/73.54 | % 133.21/73.54 | From (1381) and (182) follows: % 133.21/73.54 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.21/73.54 | % 133.21/73.54 +-Applying beta-rule and splitting (2463), into two cases. % 133.21/73.54 |-Branch one: % 133.21/73.54 | (2469) all_369_0_515 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2469) yields: % 133.21/73.54 | (2470) all_369_0_515 = 0 % 133.21/73.54 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.21/73.54 | (595) all_112_1_81 = e % 133.21/73.54 | % 133.21/73.54 | From (595) and (209) follows: % 133.21/73.54 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.54 | (210) all_87_0_72 = 0 % 133.21/73.54 | % 133.21/73.54 | Equations (210) can reduce 181 to: % 133.21/73.54 | (173) $false % 133.21/73.54 | % 133.21/73.54 |-The branch is then unsatisfiable % 133.21/73.54 |-Branch two: % 133.21/73.54 | (2476) all_369_0_515 = 0 & mem(all_112_1_81, e) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2476) yields: % 133.21/73.54 | (2470) all_369_0_515 = 0 % 133.21/73.54 | (610) mem(all_112_1_81, e) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.21/73.54 | (415) $false % 133.21/73.54 | % 133.21/73.54 |-The branch is then unsatisfiable % 133.21/73.54 |-Branch two: % 133.21/73.54 | (2455) all_334_0_510 = 0 & mem(all_87_1_73, e) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2455) yields: % 133.21/73.54 | (2428) all_334_0_510 = 0 % 133.21/73.54 | (1429) mem(all_87_1_73, e) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.21/73.54 | (415) $false % 133.21/73.54 | % 133.21/73.54 |-The branch is then unsatisfiable % 133.21/73.54 |-Branch two: % 133.21/73.54 | (2137) all_302_0_450 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2137) yields: % 133.21/73.54 | (2131) all_302_0_450 = 0 % 133.21/73.54 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 133.21/73.54 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 133.21/73.54 | % 133.21/73.54 | Instantiating (357) with all_342_0_529 yields: % 133.21/73.54 | (2488) (all_342_0_529 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_342_0_529 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 133.21/73.54 | % 133.21/73.54 +-Applying beta-rule and splitting (2284), into two cases. % 133.21/73.54 |-Branch one: % 133.21/73.54 | (2307) all_326_0_479 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2307) yields: % 133.21/73.54 | (2308) all_326_0_479 = 0 % 133.21/73.54 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.21/73.54 | (524) all_112_1_81 = all_0_5_5 % 133.21/73.54 | % 133.21/73.54 | From (524) and (208) follows: % 133.21/73.54 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 133.21/73.54 | % 133.21/73.54 +-Applying beta-rule and splitting (2404), into two cases. % 133.21/73.54 |-Branch one: % 133.21/73.54 | (2427) all_334_0_510 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2427) yields: % 133.21/73.54 | (2428) all_334_0_510 = 0 % 133.21/73.54 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.21/73.54 | (1381) all_87_1_73 = e % 133.21/73.54 | % 133.21/73.54 | From (1381) and (182) follows: % 133.21/73.54 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.21/73.54 | % 133.21/73.54 +-Applying beta-rule and splitting (2488), into two cases. % 133.21/73.54 |-Branch one: % 133.21/73.54 | (2499) all_342_0_529 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2499) yields: % 133.21/73.54 | (2500) all_342_0_529 = 0 % 133.21/73.54 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 133.21/73.54 | (379) all_183_1_101 = all_0_5_5 % 133.21/73.54 | % 133.21/73.54 | From (379) and (263) follows: % 133.21/73.54 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 133.21/73.54 | (231) all_112_0_80 = 0 % 133.21/73.54 | % 133.21/73.54 | Equations (231) can reduce 207 to: % 133.21/73.54 | (173) $false % 133.21/73.54 | % 133.21/73.54 |-The branch is then unsatisfiable % 133.21/73.54 |-Branch two: % 133.21/73.54 | (2506) all_342_0_529 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 133.21/73.54 | % 133.21/73.54 | Applying alpha-rule on (2506) yields: % 133.21/73.54 | (2500) all_342_0_529 = 0 % 133.21/73.54 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 133.21/73.54 | % 133.21/73.54 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 133.21/73.55 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 133.21/73.55 | % 133.21/73.55 | Instantiating (386) with all_419_0_545 yields: % 133.21/73.55 | (2510) (all_419_0_545 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_419_0_545 = 0 & mem(all_183_1_101, e) = 0) % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (2510), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (2511) all_419_0_545 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2511) yields: % 133.21/73.55 | (2512) all_419_0_545 = 0 % 133.21/73.55 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 133.21/73.55 | (403) all_183_1_101 = e % 133.21/73.55 | % 133.21/73.55 | From (403) and (271) follows: % 133.21/73.55 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.55 | (210) all_87_0_72 = 0 % 133.21/73.55 | % 133.21/73.55 | Equations (210) can reduce 181 to: % 133.21/73.55 | (173) $false % 133.21/73.55 | % 133.21/73.55 |-The branch is then unsatisfiable % 133.21/73.55 |-Branch two: % 133.21/73.55 | (2518) all_419_0_545 = 0 & mem(all_183_1_101, e) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2518) yields: % 133.21/73.55 | (2512) all_419_0_545 = 0 % 133.21/73.55 | (418) mem(all_183_1_101, e) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 133.21/73.55 | (415) $false % 133.21/73.55 | % 133.21/73.55 |-The branch is then unsatisfiable % 133.21/73.55 |-Branch two: % 133.21/73.55 | (2455) all_334_0_510 = 0 & mem(all_87_1_73, e) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2455) yields: % 133.21/73.55 | (2428) all_334_0_510 = 0 % 133.21/73.55 | (1429) mem(all_87_1_73, e) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.21/73.55 | (415) $false % 133.21/73.55 | % 133.21/73.55 |-The branch is then unsatisfiable % 133.21/73.55 |-Branch two: % 133.21/73.55 | (2314) all_326_0_479 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2314) yields: % 133.21/73.55 | (2308) all_326_0_479 = 0 % 133.21/73.55 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.21/73.55 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.21/73.55 | % 133.21/73.55 | Instantiating (573) with all_391_0_553 yields: % 133.21/73.55 | (2530) (all_391_0_553 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_391_0_553 = 0 & mem(all_112_1_81, e) = 0) % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (2404), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (2427) all_334_0_510 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2427) yields: % 133.21/73.55 | (2428) all_334_0_510 = 0 % 133.21/73.55 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.21/73.55 | (1381) all_87_1_73 = e % 133.21/73.55 | % 133.21/73.55 | From (1381) and (182) follows: % 133.21/73.55 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (2530), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (2536) all_391_0_553 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2536) yields: % 133.21/73.55 | (2537) all_391_0_553 = 0 % 133.21/73.55 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.21/73.55 | (595) all_112_1_81 = e % 133.21/73.55 | % 133.21/73.55 | From (595) and (209) follows: % 133.21/73.55 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.55 | (210) all_87_0_72 = 0 % 133.21/73.55 | % 133.21/73.55 | Equations (210) can reduce 181 to: % 133.21/73.55 | (173) $false % 133.21/73.55 | % 133.21/73.55 |-The branch is then unsatisfiable % 133.21/73.55 |-Branch two: % 133.21/73.55 | (2543) all_391_0_553 = 0 & mem(all_112_1_81, e) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2543) yields: % 133.21/73.55 | (2537) all_391_0_553 = 0 % 133.21/73.55 | (610) mem(all_112_1_81, e) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.21/73.55 | (415) $false % 133.21/73.55 | % 133.21/73.55 |-The branch is then unsatisfiable % 133.21/73.55 |-Branch two: % 133.21/73.55 | (2455) all_334_0_510 = 0 & mem(all_87_1_73, e) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2455) yields: % 133.21/73.55 | (2428) all_334_0_510 = 0 % 133.21/73.55 | (1429) mem(all_87_1_73, e) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.21/73.55 | (415) $false % 133.21/73.55 | % 133.21/73.55 |-The branch is then unsatisfiable % 133.21/73.55 |-Branch two: % 133.21/73.55 | (929) all_229_0_226 = 0 & mem(all_137_1_87, all_0_3_3) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (929) yields: % 133.21/73.55 | (923) all_229_0_226 = 0 % 133.21/73.55 | (303) mem(all_137_1_87, all_0_3_3) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_137_1_87, all_0_3_3) = 0, yields: % 133.21/73.55 | (304) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_4_4) = 0)) % 133.21/73.55 | % 133.21/73.55 | Instantiating (304) with all_291_0_559 yields: % 133.21/73.55 | (2555) (all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0) | (all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0) % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (909), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (934) all_254_0_230 = 0 & mem(all_183_1_101, all_57_0_60) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (934) yields: % 133.21/73.55 | (935) all_254_0_230 = 0 % 133.21/73.55 | (308) mem(all_183_1_101, all_57_0_60) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_183_1_101 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_183_1_101, all_57_0_60) = 0, yields: % 133.21/73.55 | (309) all_183_1_101 = all_0_1_1 % 133.21/73.55 | % 133.21/73.55 | From (309) and (257) follows: % 133.21/73.55 | (1764) mem(all_0_1_1, all_131_1_85) = all_183_0_100 % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (911), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (946) all_261_0_231 = 0 & mem(all_167_2_96, all_57_0_60) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (946) yields: % 133.21/73.55 | (947) all_261_0_231 = 0 % 133.21/73.55 | (320) mem(all_167_2_96, all_57_0_60) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (113) with all_57_0_60, all_0_1_1, all_167_2_96 and discharging atoms s(all_0_1_1) = all_57_0_60, mem(all_167_2_96, all_57_0_60) = 0, yields: % 133.21/73.55 | (321) all_167_2_96 = all_0_1_1 % 133.21/73.55 | % 133.21/73.55 | From (321) and (246) follows: % 133.21/73.55 | (1769) mem(all_0_1_1, all_131_1_85) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (31) with all_0_1_1, all_131_1_85, 0, all_183_0_100 and discharging atoms mem(all_0_1_1, all_131_1_85) = all_183_0_100, mem(all_0_1_1, all_131_1_85) = 0, yields: % 133.21/73.55 | (410) all_183_0_100 = 0 % 133.21/73.55 | % 133.21/73.55 | Equations (410) can reduce 256 to: % 133.21/73.55 | (173) $false % 133.21/73.55 | % 133.21/73.55 |-The branch is then unsatisfiable % 133.21/73.55 |-Branch two: % 133.21/73.55 | (953) all_261_0_231 = 0 & mem(all_167_2_96, all_0_3_3) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (953) yields: % 133.21/73.55 | (947) all_261_0_231 = 0 % 133.21/73.55 | (327) mem(all_167_2_96, all_0_3_3) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_167_2_96, all_0_3_3) = 0, yields: % 133.21/73.55 | (328) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_4_4) = 0)) % 133.21/73.55 | % 133.21/73.55 | Instantiating (328) with all_310_0_560 yields: % 133.21/73.55 | (2572) (all_310_0_560 = 0 & mem(all_167_2_96, all_72_0_66) = 0) | (all_310_0_560 = 0 & mem(all_167_2_96, all_0_4_4) = 0) % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (1568), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (1603) all_275_0_368 = 0 & mem(all_112_1_81, all_72_0_66) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (1603) yields: % 133.21/73.55 | (1604) all_275_0_368 = 0 % 133.21/73.55 | (332) mem(all_112_1_81, all_72_0_66) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_112_1_81, all_72_0_66) = 0, yields: % 133.21/73.55 | (333) all_112_1_81 = all_0_4_4 % 133.21/73.55 | % 133.21/73.55 | From (333) and (208) follows: % 133.21/73.55 | (334) mem(all_0_4_4, all_76_1_69) = all_112_0_80 % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (2090), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (2125) all_283_0_449 = 0 & mem(all_87_1_73, all_0_2_2) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2125) yields: % 133.21/73.55 | (2126) all_283_0_449 = 0 % 133.21/73.55 | (1153) mem(all_87_1_73, all_0_2_2) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_87_1_73, all_0_2_2) = 0, yields: % 133.21/73.55 | (1154) all_87_1_73 = all_0_5_5 % 133.21/73.55 | % 133.21/73.55 | From (1154) and (182) follows: % 133.21/73.55 | (1155) mem(all_0_5_5, all_59_1_62) = all_87_0_72 % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (2555), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (2583) all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2583) yields: % 133.21/73.55 | (2584) all_291_0_559 = 0 % 133.21/73.55 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 133.21/73.55 | (338) all_137_1_87 = all_0_4_4 % 133.21/73.55 | % 133.21/73.55 | From (338) and (230) follows: % 133.21/73.55 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 133.21/73.55 | (231) all_112_0_80 = 0 % 133.21/73.55 | % 133.21/73.55 | Equations (231) can reduce 207 to: % 133.21/73.55 | (173) $false % 133.21/73.55 | % 133.21/73.55 |-The branch is then unsatisfiable % 133.21/73.55 |-Branch two: % 133.21/73.55 | (2590) all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 133.21/73.55 | % 133.21/73.55 | Applying alpha-rule on (2590) yields: % 133.21/73.55 | (2584) all_291_0_559 = 0 % 133.21/73.55 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 133.21/73.55 | % 133.21/73.55 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 133.21/73.55 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 133.21/73.55 | % 133.21/73.55 | Instantiating (345) with all_348_0_562 yields: % 133.21/73.55 | (2594) (all_348_0_562 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_348_0_562 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 133.21/73.55 | % 133.21/73.55 +-Applying beta-rule and splitting (2572), into two cases. % 133.21/73.55 |-Branch one: % 133.21/73.55 | (2595) all_310_0_560 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2595) yields: % 133.21/73.56 | (2596) all_310_0_560 = 0 % 133.21/73.56 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 133.21/73.56 | (362) all_167_2_96 = all_0_4_4 % 133.21/73.56 | % 133.21/73.56 | From (362) and (272) follows: % 133.21/73.56 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 133.21/73.56 | (231) all_112_0_80 = 0 % 133.21/73.56 | % 133.21/73.56 | Equations (231) can reduce 207 to: % 133.21/73.56 | (173) $false % 133.21/73.56 | % 133.21/73.56 |-The branch is then unsatisfiable % 133.21/73.56 |-Branch two: % 133.21/73.56 | (2602) all_310_0_560 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2602) yields: % 133.21/73.56 | (2596) all_310_0_560 = 0 % 133.21/73.56 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 133.21/73.56 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 133.21/73.56 | % 133.21/73.56 | Instantiating (369) with all_356_0_563 yields: % 133.21/73.56 | (2606) (all_356_0_563 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_356_0_563 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 133.21/73.56 | % 133.21/73.56 +-Applying beta-rule and splitting (2594), into two cases. % 133.21/73.56 |-Branch one: % 133.21/73.56 | (2607) all_348_0_562 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2607) yields: % 133.21/73.56 | (2608) all_348_0_562 = 0 % 133.21/73.56 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 133.21/73.56 | (374) all_137_1_87 = all_0_5_5 % 133.21/73.56 | % 133.21/73.56 | From (374) and (239) follows: % 133.21/73.56 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.56 | (210) all_87_0_72 = 0 % 133.21/73.56 | % 133.21/73.56 | Equations (210) can reduce 181 to: % 133.21/73.56 | (173) $false % 133.21/73.56 | % 133.21/73.56 |-The branch is then unsatisfiable % 133.21/73.56 |-Branch two: % 133.21/73.56 | (2614) all_348_0_562 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2614) yields: % 133.21/73.56 | (2608) all_348_0_562 = 0 % 133.21/73.56 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 133.21/73.56 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 133.21/73.56 | % 133.21/73.56 | Instantiating (423) with all_372_0_565 yields: % 133.21/73.56 | (2618) (all_372_0_565 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_372_0_565 = 0 & mem(all_137_1_87, e) = 0) % 133.21/73.56 | % 133.21/73.56 +-Applying beta-rule and splitting (2606), into two cases. % 133.21/73.56 |-Branch one: % 133.21/73.56 | (2619) all_356_0_563 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2619) yields: % 133.21/73.56 | (2620) all_356_0_563 = 0 % 133.21/73.56 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 133.21/73.56 | (391) all_167_2_96 = all_0_5_5 % 133.21/73.56 | % 133.21/73.56 | From (391) and (276) follows: % 133.21/73.56 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.56 | (210) all_87_0_72 = 0 % 133.21/73.56 | % 133.21/73.56 | Equations (210) can reduce 181 to: % 133.21/73.56 | (173) $false % 133.21/73.56 | % 133.21/73.56 |-The branch is then unsatisfiable % 133.21/73.56 |-Branch two: % 133.21/73.56 | (2626) all_356_0_563 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2626) yields: % 133.21/73.56 | (2620) all_356_0_563 = 0 % 133.21/73.56 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 133.21/73.56 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 133.21/73.56 | % 133.21/73.56 | Instantiating (398) with all_380_0_566 yields: % 133.21/73.56 | (2630) (all_380_0_566 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_566 = 0 & mem(all_167_2_96, e) = 0) % 133.21/73.56 | % 133.21/73.56 +-Applying beta-rule and splitting (2618), into two cases. % 133.21/73.56 |-Branch one: % 133.21/73.56 | (2631) all_372_0_565 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2631) yields: % 133.21/73.56 | (2632) all_372_0_565 = 0 % 133.21/73.56 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 133.21/73.56 | (445) all_137_1_87 = e % 133.21/73.56 | % 133.21/73.56 | From (445) and (229) follows: % 133.21/73.56 | (446) mem(e, all_101_1_77) = all_137_0_86 % 133.21/73.56 | % 133.21/73.56 +-Applying beta-rule and splitting (2630), into two cases. % 133.21/73.56 |-Branch one: % 133.21/73.56 | (2636) all_380_0_566 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2636) yields: % 133.21/73.56 | (2637) all_380_0_566 = 0 % 133.21/73.56 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 133.21/73.56 | (408) all_167_2_96 = e % 133.21/73.56 | % 133.21/73.56 | From (408) and (264) follows: % 133.21/73.56 | (451) mem(e, all_101_1_77) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 133.21/73.56 | (259) all_137_0_86 = 0 % 133.21/73.56 | % 133.21/73.56 | Equations (259) can reduce 228 to: % 133.21/73.56 | (173) $false % 133.21/73.56 | % 133.21/73.56 |-The branch is then unsatisfiable % 133.21/73.56 |-Branch two: % 133.21/73.56 | (2643) all_380_0_566 = 0 & mem(all_167_2_96, e) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2643) yields: % 133.21/73.56 | (2637) all_380_0_566 = 0 % 133.21/73.56 | (414) mem(all_167_2_96, e) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 133.21/73.56 | (415) $false % 133.21/73.56 | % 133.21/73.56 |-The branch is then unsatisfiable % 133.21/73.56 |-Branch two: % 133.21/73.56 | (2647) all_372_0_565 = 0 & mem(all_137_1_87, e) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2647) yields: % 133.21/73.56 | (2632) all_372_0_565 = 0 % 133.21/73.56 | (460) mem(all_137_1_87, e) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 133.21/73.56 | (415) $false % 133.21/73.56 | % 133.21/73.56 |-The branch is then unsatisfiable % 133.21/73.56 |-Branch two: % 133.21/73.56 | (2198) all_283_0_449 = 0 & mem(all_87_1_73, all_0_5_5) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2198) yields: % 133.21/73.56 | (2126) all_283_0_449 = 0 % 133.21/73.56 | (1346) mem(all_87_1_73, all_0_5_5) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_87_1_73 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_87_1_73, all_0_5_5) = 0, yields: % 133.21/73.56 | (1347) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (v0 = 0 & mem(all_87_1_73, e) = 0)) % 133.21/73.56 | % 133.21/73.56 | Instantiating (1347) with all_337_0_568 yields: % 133.21/73.56 | (2655) (all_337_0_568 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (all_337_0_568 = 0 & mem(all_87_1_73, e) = 0) % 133.21/73.56 | % 133.21/73.56 +-Applying beta-rule and splitting (2555), into two cases. % 133.21/73.56 |-Branch one: % 133.21/73.56 | (2583) all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2583) yields: % 133.21/73.56 | (2584) all_291_0_559 = 0 % 133.21/73.56 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 133.21/73.56 | (338) all_137_1_87 = all_0_4_4 % 133.21/73.56 | % 133.21/73.56 | From (338) and (230) follows: % 133.21/73.56 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 133.21/73.56 | (231) all_112_0_80 = 0 % 133.21/73.56 | % 133.21/73.56 | Equations (231) can reduce 207 to: % 133.21/73.56 | (173) $false % 133.21/73.56 | % 133.21/73.56 |-The branch is then unsatisfiable % 133.21/73.56 |-Branch two: % 133.21/73.56 | (2590) all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2590) yields: % 133.21/73.56 | (2584) all_291_0_559 = 0 % 133.21/73.56 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 133.21/73.56 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 133.21/73.56 | % 133.21/73.56 | Instantiating (345) with all_345_0_569 yields: % 133.21/73.56 | (2667) (all_345_0_569 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_345_0_569 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 133.21/73.56 | % 133.21/73.56 +-Applying beta-rule and splitting (2572), into two cases. % 133.21/73.56 |-Branch one: % 133.21/73.56 | (2595) all_310_0_560 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2595) yields: % 133.21/73.56 | (2596) all_310_0_560 = 0 % 133.21/73.56 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 133.21/73.56 | (362) all_167_2_96 = all_0_4_4 % 133.21/73.56 | % 133.21/73.56 | From (362) and (272) follows: % 133.21/73.56 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 133.21/73.56 | (231) all_112_0_80 = 0 % 133.21/73.56 | % 133.21/73.56 | Equations (231) can reduce 207 to: % 133.21/73.56 | (173) $false % 133.21/73.56 | % 133.21/73.56 |-The branch is then unsatisfiable % 133.21/73.56 |-Branch two: % 133.21/73.56 | (2602) all_310_0_560 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2602) yields: % 133.21/73.56 | (2596) all_310_0_560 = 0 % 133.21/73.56 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.56 | % 133.21/73.56 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 133.21/73.56 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 133.21/73.56 | % 133.21/73.56 | Instantiating (369) with all_353_0_570 yields: % 133.21/73.56 | (2679) (all_353_0_570 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_353_0_570 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 133.21/73.56 | % 133.21/73.56 +-Applying beta-rule and splitting (2655), into two cases. % 133.21/73.56 |-Branch one: % 133.21/73.56 | (2680) all_337_0_568 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.56 | % 133.21/73.56 | Applying alpha-rule on (2680) yields: % 133.21/73.57 | (2681) all_337_0_568 = 0 % 133.21/73.57 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.21/73.57 | (1381) all_87_1_73 = e % 133.21/73.57 | % 133.21/73.57 | From (1381) and (182) follows: % 133.21/73.57 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.21/73.57 | % 133.21/73.57 +-Applying beta-rule and splitting (2667), into two cases. % 133.21/73.57 |-Branch one: % 133.21/73.57 | (2685) all_345_0_569 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2685) yields: % 133.21/73.57 | (2686) all_345_0_569 = 0 % 133.21/73.57 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 133.21/73.57 | (374) all_137_1_87 = all_0_5_5 % 133.21/73.57 | % 133.21/73.57 | From (374) and (229) follows: % 133.21/73.57 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 133.21/73.57 | % 133.21/73.57 +-Applying beta-rule and splitting (2679), into two cases. % 133.21/73.57 |-Branch one: % 133.21/73.57 | (2690) all_353_0_570 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2690) yields: % 133.21/73.57 | (2691) all_353_0_570 = 0 % 133.21/73.57 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 133.21/73.57 | (391) all_167_2_96 = all_0_5_5 % 133.21/73.57 | % 133.21/73.57 | From (391) and (264) follows: % 133.21/73.57 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 133.21/73.57 | (259) all_137_0_86 = 0 % 133.21/73.57 | % 133.21/73.57 | Equations (259) can reduce 228 to: % 133.21/73.57 | (173) $false % 133.21/73.57 | % 133.21/73.57 |-The branch is then unsatisfiable % 133.21/73.57 |-Branch two: % 133.21/73.57 | (2697) all_353_0_570 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2697) yields: % 133.21/73.57 | (2691) all_353_0_570 = 0 % 133.21/73.57 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 133.21/73.57 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 133.21/73.57 | % 133.21/73.57 | Instantiating (398) with all_391_0_572 yields: % 133.21/73.57 | (2701) (all_391_0_572 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_391_0_572 = 0 & mem(all_167_2_96, e) = 0) % 133.21/73.57 | % 133.21/73.57 +-Applying beta-rule and splitting (2701), into two cases. % 133.21/73.57 |-Branch one: % 133.21/73.57 | (2702) all_391_0_572 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2702) yields: % 133.21/73.57 | (2703) all_391_0_572 = 0 % 133.21/73.57 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 133.21/73.57 | (408) all_167_2_96 = e % 133.21/73.57 | % 133.21/73.57 | From (408) and (276) follows: % 133.21/73.57 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.57 | (210) all_87_0_72 = 0 % 133.21/73.57 | % 133.21/73.57 | Equations (210) can reduce 181 to: % 133.21/73.57 | (173) $false % 133.21/73.57 | % 133.21/73.57 |-The branch is then unsatisfiable % 133.21/73.57 |-Branch two: % 133.21/73.57 | (2709) all_391_0_572 = 0 & mem(all_167_2_96, e) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2709) yields: % 133.21/73.57 | (2703) all_391_0_572 = 0 % 133.21/73.57 | (414) mem(all_167_2_96, e) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 133.21/73.57 | (415) $false % 133.21/73.57 | % 133.21/73.57 |-The branch is then unsatisfiable % 133.21/73.57 |-Branch two: % 133.21/73.57 | (2713) all_345_0_569 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2713) yields: % 133.21/73.57 | (2686) all_345_0_569 = 0 % 133.21/73.57 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 133.21/73.57 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 133.21/73.57 | % 133.21/73.57 | Instantiating (423) with all_380_0_574 yields: % 133.21/73.57 | (2717) (all_380_0_574 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_380_0_574 = 0 & mem(all_137_1_87, e) = 0) % 133.21/73.57 | % 133.21/73.57 +-Applying beta-rule and splitting (2717), into two cases. % 133.21/73.57 |-Branch one: % 133.21/73.57 | (2718) all_380_0_574 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2718) yields: % 133.21/73.57 | (2719) all_380_0_574 = 0 % 133.21/73.57 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 133.21/73.57 | (445) all_137_1_87 = e % 133.21/73.57 | % 133.21/73.57 | From (445) and (239) follows: % 133.21/73.57 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.57 | (210) all_87_0_72 = 0 % 133.21/73.57 | % 133.21/73.57 | Equations (210) can reduce 181 to: % 133.21/73.57 | (173) $false % 133.21/73.57 | % 133.21/73.57 |-The branch is then unsatisfiable % 133.21/73.57 |-Branch two: % 133.21/73.57 | (2725) all_380_0_574 = 0 & mem(all_137_1_87, e) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2725) yields: % 133.21/73.57 | (2719) all_380_0_574 = 0 % 133.21/73.57 | (460) mem(all_137_1_87, e) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 133.21/73.57 | (415) $false % 133.21/73.57 | % 133.21/73.57 |-The branch is then unsatisfiable % 133.21/73.57 |-Branch two: % 133.21/73.57 | (2729) all_337_0_568 = 0 & mem(all_87_1_73, e) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2729) yields: % 133.21/73.57 | (2681) all_337_0_568 = 0 % 133.21/73.57 | (1429) mem(all_87_1_73, e) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.21/73.57 | (415) $false % 133.21/73.57 | % 133.21/73.57 |-The branch is then unsatisfiable % 133.21/73.57 |-Branch two: % 133.21/73.57 | (1610) all_275_0_368 = 0 & mem(all_112_1_81, all_0_4_4) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (1610) yields: % 133.21/73.57 | (1604) all_275_0_368 = 0 % 133.21/73.57 | (489) mem(all_112_1_81, all_0_4_4) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_112_1_81, all_0_4_4) = 0, yields: % 133.21/73.57 | (490) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_5_5) = 0)) % 133.21/73.57 | % 133.21/73.57 | Instantiating (490) with all_326_0_588 yields: % 133.21/73.57 | (2737) (all_326_0_588 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (all_326_0_588 = 0 & mem(all_112_1_81, all_0_5_5) = 0) % 133.21/73.57 | % 133.21/73.57 +-Applying beta-rule and splitting (2090), into two cases. % 133.21/73.57 |-Branch one: % 133.21/73.57 | (2125) all_283_0_449 = 0 & mem(all_87_1_73, all_0_2_2) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2125) yields: % 133.21/73.57 | (2126) all_283_0_449 = 0 % 133.21/73.57 | (1153) mem(all_87_1_73, all_0_2_2) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_87_1_73, all_0_2_2) = 0, yields: % 133.21/73.57 | (1154) all_87_1_73 = all_0_5_5 % 133.21/73.57 | % 133.21/73.57 | From (1154) and (182) follows: % 133.21/73.57 | (1155) mem(all_0_5_5, all_59_1_62) = all_87_0_72 % 133.21/73.57 | % 133.21/73.57 +-Applying beta-rule and splitting (2555), into two cases. % 133.21/73.57 |-Branch one: % 133.21/73.57 | (2583) all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2583) yields: % 133.21/73.57 | (2584) all_291_0_559 = 0 % 133.21/73.57 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 133.21/73.57 | (338) all_137_1_87 = all_0_4_4 % 133.21/73.57 | % 133.21/73.57 | From (338) and (229) follows: % 133.21/73.57 | (496) mem(all_0_4_4, all_101_1_77) = all_137_0_86 % 133.21/73.57 | % 133.21/73.57 +-Applying beta-rule and splitting (2572), into two cases. % 133.21/73.57 |-Branch one: % 133.21/73.57 | (2595) all_310_0_560 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2595) yields: % 133.21/73.57 | (2596) all_310_0_560 = 0 % 133.21/73.57 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 133.21/73.57 | (362) all_167_2_96 = all_0_4_4 % 133.21/73.57 | % 133.21/73.57 | From (362) and (264) follows: % 133.21/73.57 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 133.21/73.57 | (259) all_137_0_86 = 0 % 133.21/73.57 | % 133.21/73.57 | Equations (259) can reduce 228 to: % 133.21/73.57 | (173) $false % 133.21/73.57 | % 133.21/73.57 |-The branch is then unsatisfiable % 133.21/73.57 |-Branch two: % 133.21/73.57 | (2602) all_310_0_560 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.57 | % 133.21/73.57 | Applying alpha-rule on (2602) yields: % 133.21/73.57 | (2596) all_310_0_560 = 0 % 133.21/73.57 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.57 | % 133.21/73.57 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 133.21/73.57 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 133.21/73.57 | % 133.21/73.57 | Instantiating (369) with all_356_0_589 yields: % 133.21/73.57 | (2759) (all_356_0_589 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_356_0_589 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 133.21/73.57 | % 133.21/73.57 +-Applying beta-rule and splitting (2737), into two cases. % 133.21/73.57 |-Branch one: % 133.21/73.58 | (2760) all_326_0_588 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2760) yields: % 133.21/73.58 | (2761) all_326_0_588 = 0 % 133.21/73.58 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.21/73.58 | (524) all_112_1_81 = all_0_5_5 % 133.21/73.58 | % 133.21/73.58 | From (524) and (209) follows: % 133.21/73.58 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.58 | (210) all_87_0_72 = 0 % 133.21/73.58 | % 133.21/73.58 | Equations (210) can reduce 181 to: % 133.21/73.58 | (173) $false % 133.21/73.58 | % 133.21/73.58 |-The branch is then unsatisfiable % 133.21/73.58 |-Branch two: % 133.21/73.58 | (2767) all_326_0_588 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2767) yields: % 133.21/73.58 | (2761) all_326_0_588 = 0 % 133.21/73.58 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.21/73.58 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.21/73.58 | % 133.21/73.58 | Instantiating (573) with all_372_0_591 yields: % 133.21/73.58 | (2771) (all_372_0_591 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_372_0_591 = 0 & mem(all_112_1_81, e) = 0) % 133.21/73.58 | % 133.21/73.58 +-Applying beta-rule and splitting (2759), into two cases. % 133.21/73.58 |-Branch one: % 133.21/73.58 | (2772) all_356_0_589 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2772) yields: % 133.21/73.58 | (2773) all_356_0_589 = 0 % 133.21/73.58 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 133.21/73.58 | (391) all_167_2_96 = all_0_5_5 % 133.21/73.58 | % 133.21/73.58 | From (391) and (276) follows: % 133.21/73.58 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.58 | (210) all_87_0_72 = 0 % 133.21/73.58 | % 133.21/73.58 | Equations (210) can reduce 181 to: % 133.21/73.58 | (173) $false % 133.21/73.58 | % 133.21/73.58 |-The branch is then unsatisfiable % 133.21/73.58 |-Branch two: % 133.21/73.58 | (2779) all_356_0_589 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2779) yields: % 133.21/73.58 | (2773) all_356_0_589 = 0 % 133.21/73.58 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 133.21/73.58 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 133.21/73.58 | % 133.21/73.58 | Instantiating (398) with all_380_0_592 yields: % 133.21/73.58 | (2783) (all_380_0_592 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_380_0_592 = 0 & mem(all_167_2_96, e) = 0) % 133.21/73.58 | % 133.21/73.58 +-Applying beta-rule and splitting (2771), into two cases. % 133.21/73.58 |-Branch one: % 133.21/73.58 | (2784) all_372_0_591 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2784) yields: % 133.21/73.58 | (2785) all_372_0_591 = 0 % 133.21/73.58 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.21/73.58 | (595) all_112_1_81 = e % 133.21/73.58 | % 133.21/73.58 | From (595) and (208) follows: % 133.21/73.58 | (596) mem(e, all_76_1_69) = all_112_0_80 % 133.21/73.58 | % 133.21/73.58 +-Applying beta-rule and splitting (2783), into two cases. % 133.21/73.58 |-Branch one: % 133.21/73.58 | (2789) all_380_0_592 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2789) yields: % 133.21/73.58 | (2790) all_380_0_592 = 0 % 133.21/73.58 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 133.21/73.58 | (408) all_167_2_96 = e % 133.21/73.58 | % 133.21/73.58 | From (408) and (272) follows: % 133.21/73.58 | (601) mem(e, all_76_1_69) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 133.21/73.58 | (231) all_112_0_80 = 0 % 133.21/73.58 | % 133.21/73.58 | Equations (231) can reduce 207 to: % 133.21/73.58 | (173) $false % 133.21/73.58 | % 133.21/73.58 |-The branch is then unsatisfiable % 133.21/73.58 |-Branch two: % 133.21/73.58 | (2796) all_380_0_592 = 0 & mem(all_167_2_96, e) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2796) yields: % 133.21/73.58 | (2790) all_380_0_592 = 0 % 133.21/73.58 | (414) mem(all_167_2_96, e) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 133.21/73.58 | (415) $false % 133.21/73.58 | % 133.21/73.58 |-The branch is then unsatisfiable % 133.21/73.58 |-Branch two: % 133.21/73.58 | (2800) all_372_0_591 = 0 & mem(all_112_1_81, e) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2800) yields: % 133.21/73.58 | (2785) all_372_0_591 = 0 % 133.21/73.58 | (610) mem(all_112_1_81, e) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.21/73.58 | (415) $false % 133.21/73.58 | % 133.21/73.58 |-The branch is then unsatisfiable % 133.21/73.58 |-Branch two: % 133.21/73.58 | (2590) all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2590) yields: % 133.21/73.58 | (2584) all_291_0_559 = 0 % 133.21/73.58 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 133.21/73.58 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 133.21/73.58 | % 133.21/73.58 | Instantiating (345) with all_345_0_594 yields: % 133.21/73.58 | (2808) (all_345_0_594 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_345_0_594 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 133.21/73.58 | % 133.21/73.58 +-Applying beta-rule and splitting (2737), into two cases. % 133.21/73.58 |-Branch one: % 133.21/73.58 | (2760) all_326_0_588 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2760) yields: % 133.21/73.58 | (2761) all_326_0_588 = 0 % 133.21/73.58 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.21/73.58 | (524) all_112_1_81 = all_0_5_5 % 133.21/73.58 | % 133.21/73.58 | From (524) and (209) follows: % 133.21/73.58 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.58 | (210) all_87_0_72 = 0 % 133.21/73.58 | % 133.21/73.58 | Equations (210) can reduce 181 to: % 133.21/73.58 | (173) $false % 133.21/73.58 | % 133.21/73.58 |-The branch is then unsatisfiable % 133.21/73.58 |-Branch two: % 133.21/73.58 | (2767) all_326_0_588 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2767) yields: % 133.21/73.58 | (2761) all_326_0_588 = 0 % 133.21/73.58 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.21/73.58 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.21/73.58 | % 133.21/73.58 | Instantiating (573) with all_394_0_612 yields: % 133.21/73.58 | (2820) (all_394_0_612 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_394_0_612 = 0 & mem(all_112_1_81, e) = 0) % 133.21/73.58 | % 133.21/73.58 +-Applying beta-rule and splitting (2808), into two cases. % 133.21/73.58 |-Branch one: % 133.21/73.58 | (2821) all_345_0_594 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2821) yields: % 133.21/73.58 | (2822) all_345_0_594 = 0 % 133.21/73.58 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 133.21/73.58 | (374) all_137_1_87 = all_0_5_5 % 133.21/73.58 | % 133.21/73.58 | From (374) and (239) follows: % 133.21/73.58 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.21/73.58 | (210) all_87_0_72 = 0 % 133.21/73.58 | % 133.21/73.58 | Equations (210) can reduce 181 to: % 133.21/73.58 | (173) $false % 133.21/73.58 | % 133.21/73.58 |-The branch is then unsatisfiable % 133.21/73.58 |-Branch two: % 133.21/73.58 | (2828) all_345_0_594 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2828) yields: % 133.21/73.58 | (2822) all_345_0_594 = 0 % 133.21/73.58 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 133.21/73.58 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 133.21/73.58 | % 133.21/73.58 | Instantiating (423) with all_408_0_617 yields: % 133.21/73.58 | (2832) (all_408_0_617 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_408_0_617 = 0 & mem(all_137_1_87, e) = 0) % 133.21/73.58 | % 133.21/73.58 +-Applying beta-rule and splitting (2820), into two cases. % 133.21/73.58 |-Branch one: % 133.21/73.58 | (2833) all_394_0_612 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2833) yields: % 133.21/73.58 | (2834) all_394_0_612 = 0 % 133.21/73.58 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.21/73.58 | (595) all_112_1_81 = e % 133.21/73.58 | % 133.21/73.58 | From (595) and (208) follows: % 133.21/73.58 | (596) mem(e, all_76_1_69) = all_112_0_80 % 133.21/73.58 | % 133.21/73.58 +-Applying beta-rule and splitting (2832), into two cases. % 133.21/73.58 |-Branch one: % 133.21/73.58 | (2838) all_408_0_617 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 133.21/73.58 | % 133.21/73.58 | Applying alpha-rule on (2838) yields: % 133.21/73.58 | (2839) all_408_0_617 = 0 % 133.21/73.58 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 133.21/73.58 | (445) all_137_1_87 = e % 133.21/73.58 | % 133.21/73.58 | From (445) and (230) follows: % 133.21/73.58 | (601) mem(e, all_76_1_69) = 0 % 133.21/73.58 | % 133.21/73.58 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 133.21/73.58 | (231) all_112_0_80 = 0 % 133.21/73.58 | % 133.21/73.59 | Equations (231) can reduce 207 to: % 133.21/73.59 | (173) $false % 133.21/73.59 | % 133.21/73.59 |-The branch is then unsatisfiable % 133.21/73.59 |-Branch two: % 133.21/73.59 | (2845) all_408_0_617 = 0 & mem(all_137_1_87, e) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2845) yields: % 133.21/73.59 | (2839) all_408_0_617 = 0 % 133.21/73.59 | (460) mem(all_137_1_87, e) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 133.21/73.59 | (415) $false % 133.21/73.59 | % 133.21/73.59 |-The branch is then unsatisfiable % 133.21/73.59 |-Branch two: % 133.21/73.59 | (2849) all_394_0_612 = 0 & mem(all_112_1_81, e) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2849) yields: % 133.21/73.59 | (2834) all_394_0_612 = 0 % 133.21/73.59 | (610) mem(all_112_1_81, e) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.21/73.59 | (415) $false % 133.21/73.59 | % 133.21/73.59 |-The branch is then unsatisfiable % 133.21/73.59 |-Branch two: % 133.21/73.59 | (2198) all_283_0_449 = 0 & mem(all_87_1_73, all_0_5_5) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2198) yields: % 133.21/73.59 | (2126) all_283_0_449 = 0 % 133.21/73.59 | (1346) mem(all_87_1_73, all_0_5_5) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_87_1_73 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_87_1_73, all_0_5_5) = 0, yields: % 133.21/73.59 | (1347) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (v0 = 0 & mem(all_87_1_73, e) = 0)) % 133.21/73.59 | % 133.21/73.59 | Instantiating (1347) with all_334_0_619 yields: % 133.21/73.59 | (2857) (all_334_0_619 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (all_334_0_619 = 0 & mem(all_87_1_73, e) = 0) % 133.21/73.59 | % 133.21/73.59 +-Applying beta-rule and splitting (2555), into two cases. % 133.21/73.59 |-Branch one: % 133.21/73.59 | (2583) all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2583) yields: % 133.21/73.59 | (2584) all_291_0_559 = 0 % 133.21/73.59 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 133.21/73.59 | (338) all_137_1_87 = all_0_4_4 % 133.21/73.59 | % 133.21/73.59 | From (338) and (229) follows: % 133.21/73.59 | (496) mem(all_0_4_4, all_101_1_77) = all_137_0_86 % 133.21/73.59 | % 133.21/73.59 +-Applying beta-rule and splitting (2572), into two cases. % 133.21/73.59 |-Branch one: % 133.21/73.59 | (2595) all_310_0_560 = 0 & mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2595) yields: % 133.21/73.59 | (2596) all_310_0_560 = 0 % 133.21/73.59 | (361) mem(all_167_2_96, all_72_0_66) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_167_2_96 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_167_2_96, all_72_0_66) = 0, yields: % 133.21/73.59 | (362) all_167_2_96 = all_0_4_4 % 133.21/73.59 | % 133.21/73.59 | From (362) and (264) follows: % 133.21/73.59 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 133.21/73.59 | (259) all_137_0_86 = 0 % 133.21/73.59 | % 133.21/73.59 | Equations (259) can reduce 228 to: % 133.21/73.59 | (173) $false % 133.21/73.59 | % 133.21/73.59 |-The branch is then unsatisfiable % 133.21/73.59 |-Branch two: % 133.21/73.59 | (2602) all_310_0_560 = 0 & mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2602) yields: % 133.21/73.59 | (2596) all_310_0_560 = 0 % 133.21/73.59 | (368) mem(all_167_2_96, all_0_4_4) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_167_2_96, all_0_4_4) = 0, yields: % 133.21/73.59 | (369) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (v0 = 0 & mem(all_167_2_96, all_0_5_5) = 0)) % 133.21/73.59 | % 133.21/73.59 | Instantiating (369) with all_353_0_620 yields: % 133.21/73.59 | (2874) (all_353_0_620 = 0 & mem(all_167_2_96, all_0_2_2) = 0) | (all_353_0_620 = 0 & mem(all_167_2_96, all_0_5_5) = 0) % 133.21/73.59 | % 133.21/73.59 +-Applying beta-rule and splitting (2737), into two cases. % 133.21/73.59 |-Branch one: % 133.21/73.59 | (2760) all_326_0_588 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2760) yields: % 133.21/73.59 | (2761) all_326_0_588 = 0 % 133.21/73.59 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.21/73.59 | (524) all_112_1_81 = all_0_5_5 % 133.21/73.59 | % 133.21/73.59 | From (524) and (208) follows: % 133.21/73.59 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 133.21/73.59 | % 133.21/73.59 +-Applying beta-rule and splitting (2857), into two cases. % 133.21/73.59 |-Branch one: % 133.21/73.59 | (2880) all_334_0_619 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2880) yields: % 133.21/73.59 | (2881) all_334_0_619 = 0 % 133.21/73.59 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.21/73.59 | (1381) all_87_1_73 = e % 133.21/73.59 | % 133.21/73.59 | From (1381) and (182) follows: % 133.21/73.59 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.21/73.59 | % 133.21/73.59 +-Applying beta-rule and splitting (2874), into two cases. % 133.21/73.59 |-Branch one: % 133.21/73.59 | (2885) all_353_0_620 = 0 & mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2885) yields: % 133.21/73.59 | (2886) all_353_0_620 = 0 % 133.21/73.59 | (390) mem(all_167_2_96, all_0_2_2) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_167_2_96 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_167_2_96, all_0_2_2) = 0, yields: % 133.21/73.59 | (391) all_167_2_96 = all_0_5_5 % 133.21/73.59 | % 133.21/73.59 | From (391) and (272) follows: % 133.21/73.59 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 133.21/73.59 | (231) all_112_0_80 = 0 % 133.21/73.59 | % 133.21/73.59 | Equations (231) can reduce 207 to: % 133.21/73.59 | (173) $false % 133.21/73.59 | % 133.21/73.59 |-The branch is then unsatisfiable % 133.21/73.59 |-Branch two: % 133.21/73.59 | (2892) all_353_0_620 = 0 & mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2892) yields: % 133.21/73.59 | (2886) all_353_0_620 = 0 % 133.21/73.59 | (397) mem(all_167_2_96, all_0_5_5) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_167_2_96 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_167_2_96, all_0_5_5) = 0, yields: % 133.21/73.59 | (398) ? [v0] : ((v0 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (v0 = 0 & mem(all_167_2_96, e) = 0)) % 133.21/73.59 | % 133.21/73.59 | Instantiating (398) with all_391_0_622 yields: % 133.21/73.59 | (2896) (all_391_0_622 = 0 & mem(all_167_2_96, all_68_0_64) = 0) | (all_391_0_622 = 0 & mem(all_167_2_96, e) = 0) % 133.21/73.59 | % 133.21/73.59 +-Applying beta-rule and splitting (2896), into two cases. % 133.21/73.59 |-Branch one: % 133.21/73.59 | (2897) all_391_0_622 = 0 & mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2897) yields: % 133.21/73.59 | (2898) all_391_0_622 = 0 % 133.21/73.59 | (407) mem(all_167_2_96, all_68_0_64) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (113) with all_68_0_64, e, all_167_2_96 and discharging atoms s(e) = all_68_0_64, mem(all_167_2_96, all_68_0_64) = 0, yields: % 133.21/73.59 | (408) all_167_2_96 = e % 133.21/73.59 | % 133.21/73.59 | From (408) and (276) follows: % 133.21/73.59 | (1404) mem(e, all_59_1_62) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.21/73.59 | (210) all_87_0_72 = 0 % 133.21/73.59 | % 133.21/73.59 | Equations (210) can reduce 181 to: % 133.21/73.59 | (173) $false % 133.21/73.59 | % 133.21/73.59 |-The branch is then unsatisfiable % 133.21/73.59 |-Branch two: % 133.21/73.59 | (2904) all_391_0_622 = 0 & mem(all_167_2_96, e) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2904) yields: % 133.21/73.59 | (2898) all_391_0_622 = 0 % 133.21/73.59 | (414) mem(all_167_2_96, e) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (58) with all_167_2_96 and discharging atoms mem(all_167_2_96, e) = 0, yields: % 133.21/73.59 | (415) $false % 133.21/73.59 | % 133.21/73.59 |-The branch is then unsatisfiable % 133.21/73.59 |-Branch two: % 133.21/73.59 | (2908) all_334_0_619 = 0 & mem(all_87_1_73, e) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2908) yields: % 133.21/73.59 | (2881) all_334_0_619 = 0 % 133.21/73.59 | (1429) mem(all_87_1_73, e) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.21/73.59 | (415) $false % 133.21/73.59 | % 133.21/73.59 |-The branch is then unsatisfiable % 133.21/73.59 |-Branch two: % 133.21/73.59 | (2767) all_326_0_588 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2767) yields: % 133.21/73.59 | (2761) all_326_0_588 = 0 % 133.21/73.59 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.21/73.59 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.21/73.59 | % 133.21/73.59 | Instantiating (573) with all_369_0_624 yields: % 133.21/73.59 | (2916) (all_369_0_624 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_369_0_624 = 0 & mem(all_112_1_81, e) = 0) % 133.21/73.59 | % 133.21/73.59 +-Applying beta-rule and splitting (2857), into two cases. % 133.21/73.59 |-Branch one: % 133.21/73.59 | (2880) all_334_0_619 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.59 | % 133.21/73.59 | Applying alpha-rule on (2880) yields: % 133.21/73.59 | (2881) all_334_0_619 = 0 % 133.21/73.59 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.21/73.59 | % 133.21/73.59 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.21/73.59 | (1381) all_87_1_73 = e % 133.46/73.59 | % 133.46/73.59 | From (1381) and (182) follows: % 133.46/73.59 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.46/73.59 | % 133.46/73.60 +-Applying beta-rule and splitting (2916), into two cases. % 133.46/73.60 |-Branch one: % 133.46/73.60 | (2922) all_369_0_624 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2922) yields: % 133.46/73.60 | (2923) all_369_0_624 = 0 % 133.46/73.60 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.46/73.60 | (595) all_112_1_81 = e % 133.46/73.60 | % 133.46/73.60 | From (595) and (209) follows: % 133.46/73.60 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.60 | (210) all_87_0_72 = 0 % 133.46/73.60 | % 133.46/73.60 | Equations (210) can reduce 181 to: % 133.46/73.60 | (173) $false % 133.46/73.60 | % 133.46/73.60 |-The branch is then unsatisfiable % 133.46/73.60 |-Branch two: % 133.46/73.60 | (2929) all_369_0_624 = 0 & mem(all_112_1_81, e) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2929) yields: % 133.46/73.60 | (2923) all_369_0_624 = 0 % 133.46/73.60 | (610) mem(all_112_1_81, e) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.46/73.60 | (415) $false % 133.46/73.60 | % 133.46/73.60 |-The branch is then unsatisfiable % 133.46/73.60 |-Branch two: % 133.46/73.60 | (2908) all_334_0_619 = 0 & mem(all_87_1_73, e) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2908) yields: % 133.46/73.60 | (2881) all_334_0_619 = 0 % 133.46/73.60 | (1429) mem(all_87_1_73, e) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.46/73.60 | (415) $false % 133.46/73.60 | % 133.46/73.60 |-The branch is then unsatisfiable % 133.46/73.60 |-Branch two: % 133.46/73.60 | (2590) all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2590) yields: % 133.46/73.60 | (2584) all_291_0_559 = 0 % 133.46/73.60 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 133.46/73.60 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 133.46/73.60 | % 133.46/73.60 | Instantiating (345) with all_342_0_638 yields: % 133.46/73.60 | (2941) (all_342_0_638 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_342_0_638 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 133.46/73.60 | % 133.46/73.60 +-Applying beta-rule and splitting (2737), into two cases. % 133.46/73.60 |-Branch one: % 133.46/73.60 | (2760) all_326_0_588 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2760) yields: % 133.46/73.60 | (2761) all_326_0_588 = 0 % 133.46/73.60 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.46/73.60 | (524) all_112_1_81 = all_0_5_5 % 133.46/73.60 | % 133.46/73.60 | From (524) and (208) follows: % 133.46/73.60 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 133.46/73.60 | % 133.46/73.60 +-Applying beta-rule and splitting (2857), into two cases. % 133.46/73.60 |-Branch one: % 133.46/73.60 | (2880) all_334_0_619 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2880) yields: % 133.46/73.60 | (2881) all_334_0_619 = 0 % 133.46/73.60 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.46/73.60 | (1381) all_87_1_73 = e % 133.46/73.60 | % 133.46/73.60 | From (1381) and (182) follows: % 133.46/73.60 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.46/73.60 | % 133.46/73.60 +-Applying beta-rule and splitting (2941), into two cases. % 133.46/73.60 |-Branch one: % 133.46/73.60 | (2952) all_342_0_638 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2952) yields: % 133.46/73.60 | (2953) all_342_0_638 = 0 % 133.46/73.60 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 133.46/73.60 | (374) all_137_1_87 = all_0_5_5 % 133.46/73.60 | % 133.46/73.60 | From (374) and (230) follows: % 133.46/73.60 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 133.46/73.60 | (231) all_112_0_80 = 0 % 133.46/73.60 | % 133.46/73.60 | Equations (231) can reduce 207 to: % 133.46/73.60 | (173) $false % 133.46/73.60 | % 133.46/73.60 |-The branch is then unsatisfiable % 133.46/73.60 |-Branch two: % 133.46/73.60 | (2959) all_342_0_638 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2959) yields: % 133.46/73.60 | (2953) all_342_0_638 = 0 % 133.46/73.60 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 133.46/73.60 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 133.46/73.60 | % 133.46/73.60 | Instantiating (423) with all_419_0_654 yields: % 133.46/73.60 | (2963) (all_419_0_654 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_419_0_654 = 0 & mem(all_137_1_87, e) = 0) % 133.46/73.60 | % 133.46/73.60 +-Applying beta-rule and splitting (2963), into two cases. % 133.46/73.60 |-Branch one: % 133.46/73.60 | (2964) all_419_0_654 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2964) yields: % 133.46/73.60 | (2965) all_419_0_654 = 0 % 133.46/73.60 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 133.46/73.60 | (445) all_137_1_87 = e % 133.46/73.60 | % 133.46/73.60 | From (445) and (239) follows: % 133.46/73.60 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.60 | (210) all_87_0_72 = 0 % 133.46/73.60 | % 133.46/73.60 | Equations (210) can reduce 181 to: % 133.46/73.60 | (173) $false % 133.46/73.60 | % 133.46/73.60 |-The branch is then unsatisfiable % 133.46/73.60 |-Branch two: % 133.46/73.60 | (2971) all_419_0_654 = 0 & mem(all_137_1_87, e) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2971) yields: % 133.46/73.60 | (2965) all_419_0_654 = 0 % 133.46/73.60 | (460) mem(all_137_1_87, e) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 133.46/73.60 | (415) $false % 133.46/73.60 | % 133.46/73.60 |-The branch is then unsatisfiable % 133.46/73.60 |-Branch two: % 133.46/73.60 | (2908) all_334_0_619 = 0 & mem(all_87_1_73, e) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2908) yields: % 133.46/73.60 | (2881) all_334_0_619 = 0 % 133.46/73.60 | (1429) mem(all_87_1_73, e) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.46/73.60 | (415) $false % 133.46/73.60 | % 133.46/73.60 |-The branch is then unsatisfiable % 133.46/73.60 |-Branch two: % 133.46/73.60 | (2767) all_326_0_588 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2767) yields: % 133.46/73.60 | (2761) all_326_0_588 = 0 % 133.46/73.60 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.46/73.60 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.46/73.60 | % 133.46/73.60 | Instantiating (573) with all_391_0_662 yields: % 133.46/73.60 | (2983) (all_391_0_662 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_391_0_662 = 0 & mem(all_112_1_81, e) = 0) % 133.46/73.60 | % 133.46/73.60 +-Applying beta-rule and splitting (2857), into two cases. % 133.46/73.60 |-Branch one: % 133.46/73.60 | (2880) all_334_0_619 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2880) yields: % 133.46/73.60 | (2881) all_334_0_619 = 0 % 133.46/73.60 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.46/73.60 | (1381) all_87_1_73 = e % 133.46/73.60 | % 133.46/73.60 | From (1381) and (182) follows: % 133.46/73.60 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.46/73.60 | % 133.46/73.60 +-Applying beta-rule and splitting (2983), into two cases. % 133.46/73.60 |-Branch one: % 133.46/73.60 | (2989) all_391_0_662 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Applying alpha-rule on (2989) yields: % 133.46/73.60 | (2990) all_391_0_662 = 0 % 133.46/73.60 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.46/73.60 | (595) all_112_1_81 = e % 133.46/73.60 | % 133.46/73.60 | From (595) and (209) follows: % 133.46/73.60 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.60 | % 133.46/73.60 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.60 | (210) all_87_0_72 = 0 % 133.46/73.60 | % 133.46/73.60 | Equations (210) can reduce 181 to: % 133.46/73.60 | (173) $false % 133.46/73.60 | % 133.46/73.60 |-The branch is then unsatisfiable % 133.46/73.60 |-Branch two: % 133.46/73.60 | (2996) all_391_0_662 = 0 & mem(all_112_1_81, e) = 0 % 133.46/73.60 | % 133.46/73.61 | Applying alpha-rule on (2996) yields: % 133.46/73.61 | (2990) all_391_0_662 = 0 % 133.46/73.61 | (610) mem(all_112_1_81, e) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.46/73.61 | (415) $false % 133.46/73.61 | % 133.46/73.61 |-The branch is then unsatisfiable % 133.46/73.61 |-Branch two: % 133.46/73.61 | (2908) all_334_0_619 = 0 & mem(all_87_1_73, e) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (2908) yields: % 133.46/73.61 | (2881) all_334_0_619 = 0 % 133.46/73.61 | (1429) mem(all_87_1_73, e) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.46/73.61 | (415) $false % 133.46/73.61 | % 133.46/73.61 |-The branch is then unsatisfiable % 133.46/73.61 |-Branch two: % 133.46/73.61 | (941) all_254_0_230 = 0 & mem(all_183_1_101, all_0_3_3) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (941) yields: % 133.46/73.61 | (935) all_254_0_230 = 0 % 133.46/73.61 | (315) mem(all_183_1_101, all_0_3_3) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (5) with all_0_3_3, all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms u(all_0_4_4, all_72_0_66) = all_0_3_3, mem(all_183_1_101, all_0_3_3) = 0, yields: % 133.46/73.61 | (316) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_4_4) = 0)) % 133.46/73.61 | % 133.46/73.61 | Instantiating (316) with all_299_0_668 yields: % 133.46/73.61 | (3008) (all_299_0_668 = 0 & mem(all_183_1_101, all_72_0_66) = 0) | (all_299_0_668 = 0 & mem(all_183_1_101, all_0_4_4) = 0) % 133.46/73.61 | % 133.46/73.61 +-Applying beta-rule and splitting (1568), into two cases. % 133.46/73.61 |-Branch one: % 133.46/73.61 | (1603) all_275_0_368 = 0 & mem(all_112_1_81, all_72_0_66) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (1603) yields: % 133.46/73.61 | (1604) all_275_0_368 = 0 % 133.46/73.61 | (332) mem(all_112_1_81, all_72_0_66) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_112_1_81 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_112_1_81, all_72_0_66) = 0, yields: % 133.46/73.61 | (333) all_112_1_81 = all_0_4_4 % 133.46/73.61 | % 133.46/73.61 | From (333) and (208) follows: % 133.46/73.61 | (334) mem(all_0_4_4, all_76_1_69) = all_112_0_80 % 133.46/73.61 | % 133.46/73.61 +-Applying beta-rule and splitting (2090), into two cases. % 133.46/73.61 |-Branch one: % 133.46/73.61 | (2125) all_283_0_449 = 0 & mem(all_87_1_73, all_0_2_2) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (2125) yields: % 133.46/73.61 | (2126) all_283_0_449 = 0 % 133.46/73.61 | (1153) mem(all_87_1_73, all_0_2_2) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_87_1_73, all_0_2_2) = 0, yields: % 133.46/73.61 | (1154) all_87_1_73 = all_0_5_5 % 133.46/73.61 | % 133.46/73.61 | From (1154) and (182) follows: % 133.46/73.61 | (1155) mem(all_0_5_5, all_59_1_62) = all_87_0_72 % 133.46/73.61 | % 133.46/73.61 +-Applying beta-rule and splitting (2555), into two cases. % 133.46/73.61 |-Branch one: % 133.46/73.61 | (2583) all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (2583) yields: % 133.46/73.61 | (2584) all_291_0_559 = 0 % 133.46/73.61 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 133.46/73.61 | (338) all_137_1_87 = all_0_4_4 % 133.46/73.61 | % 133.46/73.61 | From (338) and (230) follows: % 133.46/73.61 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 133.46/73.61 | (231) all_112_0_80 = 0 % 133.46/73.61 | % 133.46/73.61 | Equations (231) can reduce 207 to: % 133.46/73.61 | (173) $false % 133.46/73.61 | % 133.46/73.61 |-The branch is then unsatisfiable % 133.46/73.61 |-Branch two: % 133.46/73.61 | (2590) all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (2590) yields: % 133.46/73.61 | (2584) all_291_0_559 = 0 % 133.46/73.61 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 133.46/73.61 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 133.46/73.61 | % 133.46/73.61 | Instantiating (345) with all_365_0_680 yields: % 133.46/73.61 | (3030) (all_365_0_680 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_365_0_680 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 133.46/73.61 | % 133.46/73.61 +-Applying beta-rule and splitting (3008), into two cases. % 133.46/73.61 |-Branch one: % 133.46/73.61 | (3031) all_299_0_668 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3031) yields: % 133.46/73.61 | (3032) all_299_0_668 = 0 % 133.46/73.61 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 133.46/73.61 | (350) all_183_1_101 = all_0_4_4 % 133.46/73.61 | % 133.46/73.61 | From (350) and (263) follows: % 133.46/73.61 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 133.46/73.61 | (231) all_112_0_80 = 0 % 133.46/73.61 | % 133.46/73.61 | Equations (231) can reduce 207 to: % 133.46/73.61 | (173) $false % 133.46/73.61 | % 133.46/73.61 |-The branch is then unsatisfiable % 133.46/73.61 |-Branch two: % 133.46/73.61 | (3038) all_299_0_668 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3038) yields: % 133.46/73.61 | (3032) all_299_0_668 = 0 % 133.46/73.61 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 133.46/73.61 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 133.46/73.61 | % 133.46/73.61 | Instantiating (357) with all_373_0_681 yields: % 133.46/73.61 | (3042) (all_373_0_681 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_373_0_681 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 133.46/73.61 | % 133.46/73.61 +-Applying beta-rule and splitting (3030), into two cases. % 133.46/73.61 |-Branch one: % 133.46/73.61 | (3043) all_365_0_680 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3043) yields: % 133.46/73.61 | (3044) all_365_0_680 = 0 % 133.46/73.61 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 133.46/73.61 | (374) all_137_1_87 = all_0_5_5 % 133.46/73.61 | % 133.46/73.61 | From (374) and (239) follows: % 133.46/73.61 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.46/73.61 | (210) all_87_0_72 = 0 % 133.46/73.61 | % 133.46/73.61 | Equations (210) can reduce 181 to: % 133.46/73.61 | (173) $false % 133.46/73.61 | % 133.46/73.61 |-The branch is then unsatisfiable % 133.46/73.61 |-Branch two: % 133.46/73.61 | (3050) all_365_0_680 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3050) yields: % 133.46/73.61 | (3044) all_365_0_680 = 0 % 133.46/73.61 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 133.46/73.61 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 133.46/73.61 | % 133.46/73.61 | Instantiating (423) with all_389_0_683 yields: % 133.46/73.61 | (3054) (all_389_0_683 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_389_0_683 = 0 & mem(all_137_1_87, e) = 0) % 133.46/73.61 | % 133.46/73.61 +-Applying beta-rule and splitting (3042), into two cases. % 133.46/73.61 |-Branch one: % 133.46/73.61 | (3055) all_373_0_681 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3055) yields: % 133.46/73.61 | (3056) all_373_0_681 = 0 % 133.46/73.61 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 133.46/73.61 | (379) all_183_1_101 = all_0_5_5 % 133.46/73.61 | % 133.46/73.61 | From (379) and (271) follows: % 133.46/73.61 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.46/73.61 | (210) all_87_0_72 = 0 % 133.46/73.61 | % 133.46/73.61 | Equations (210) can reduce 181 to: % 133.46/73.61 | (173) $false % 133.46/73.61 | % 133.46/73.61 |-The branch is then unsatisfiable % 133.46/73.61 |-Branch two: % 133.46/73.61 | (3062) all_373_0_681 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3062) yields: % 133.46/73.61 | (3056) all_373_0_681 = 0 % 133.46/73.61 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 133.46/73.61 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 133.46/73.61 | % 133.46/73.61 | Instantiating (386) with all_397_0_684 yields: % 133.46/73.61 | (3066) (all_397_0_684 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_397_0_684 = 0 & mem(all_183_1_101, e) = 0) % 133.46/73.61 | % 133.46/73.61 +-Applying beta-rule and splitting (3054), into two cases. % 133.46/73.61 |-Branch one: % 133.46/73.61 | (3067) all_389_0_683 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3067) yields: % 133.46/73.61 | (3068) all_389_0_683 = 0 % 133.46/73.61 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 133.46/73.61 | (445) all_137_1_87 = e % 133.46/73.61 | % 133.46/73.61 | From (445) and (229) follows: % 133.46/73.61 | (446) mem(e, all_101_1_77) = all_137_0_86 % 133.46/73.61 | % 133.46/73.61 +-Applying beta-rule and splitting (3066), into two cases. % 133.46/73.61 |-Branch one: % 133.46/73.61 | (3072) all_397_0_684 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3072) yields: % 133.46/73.61 | (3073) all_397_0_684 = 0 % 133.46/73.61 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 133.46/73.61 | (403) all_183_1_101 = e % 133.46/73.61 | % 133.46/73.61 | From (403) and (258) follows: % 133.46/73.61 | (451) mem(e, all_101_1_77) = 0 % 133.46/73.61 | % 133.46/73.61 | Instantiating formula (31) with e, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(e, all_101_1_77) = all_137_0_86, mem(e, all_101_1_77) = 0, yields: % 133.46/73.61 | (259) all_137_0_86 = 0 % 133.46/73.61 | % 133.46/73.61 | Equations (259) can reduce 228 to: % 133.46/73.61 | (173) $false % 133.46/73.61 | % 133.46/73.61 |-The branch is then unsatisfiable % 133.46/73.61 |-Branch two: % 133.46/73.61 | (3079) all_397_0_684 = 0 & mem(all_183_1_101, e) = 0 % 133.46/73.61 | % 133.46/73.61 | Applying alpha-rule on (3079) yields: % 133.46/73.62 | (3073) all_397_0_684 = 0 % 133.46/73.62 | (418) mem(all_183_1_101, e) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 133.46/73.62 | (415) $false % 133.46/73.62 | % 133.46/73.62 |-The branch is then unsatisfiable % 133.46/73.62 |-Branch two: % 133.46/73.62 | (3083) all_389_0_683 = 0 & mem(all_137_1_87, e) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3083) yields: % 133.46/73.62 | (3068) all_389_0_683 = 0 % 133.46/73.62 | (460) mem(all_137_1_87, e) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 133.46/73.62 | (415) $false % 133.46/73.62 | % 133.46/73.62 |-The branch is then unsatisfiable % 133.46/73.62 |-Branch two: % 133.46/73.62 | (2198) all_283_0_449 = 0 & mem(all_87_1_73, all_0_5_5) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (2198) yields: % 133.46/73.62 | (2126) all_283_0_449 = 0 % 133.46/73.62 | (1346) mem(all_87_1_73, all_0_5_5) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_87_1_73 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_87_1_73, all_0_5_5) = 0, yields: % 133.46/73.62 | (1347) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (v0 = 0 & mem(all_87_1_73, e) = 0)) % 133.46/73.62 | % 133.46/73.62 | Instantiating (1347) with all_354_0_686 yields: % 133.46/73.62 | (3091) (all_354_0_686 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (all_354_0_686 = 0 & mem(all_87_1_73, e) = 0) % 133.46/73.62 | % 133.46/73.62 +-Applying beta-rule and splitting (2555), into two cases. % 133.46/73.62 |-Branch one: % 133.46/73.62 | (2583) all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (2583) yields: % 133.46/73.62 | (2584) all_291_0_559 = 0 % 133.46/73.62 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 133.46/73.62 | (338) all_137_1_87 = all_0_4_4 % 133.46/73.62 | % 133.46/73.62 | From (338) and (230) follows: % 133.46/73.62 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 133.46/73.62 | (231) all_112_0_80 = 0 % 133.46/73.62 | % 133.46/73.62 | Equations (231) can reduce 207 to: % 133.46/73.62 | (173) $false % 133.46/73.62 | % 133.46/73.62 |-The branch is then unsatisfiable % 133.46/73.62 |-Branch two: % 133.46/73.62 | (2590) all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (2590) yields: % 133.46/73.62 | (2584) all_291_0_559 = 0 % 133.46/73.62 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 133.46/73.62 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 133.46/73.62 | % 133.46/73.62 | Instantiating (345) with all_362_0_687 yields: % 133.46/73.62 | (3103) (all_362_0_687 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_362_0_687 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 133.46/73.62 | % 133.46/73.62 +-Applying beta-rule and splitting (3008), into two cases. % 133.46/73.62 |-Branch one: % 133.46/73.62 | (3031) all_299_0_668 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3031) yields: % 133.46/73.62 | (3032) all_299_0_668 = 0 % 133.46/73.62 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 133.46/73.62 | (350) all_183_1_101 = all_0_4_4 % 133.46/73.62 | % 133.46/73.62 | From (350) and (263) follows: % 133.46/73.62 | (339) mem(all_0_4_4, all_76_1_69) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (31) with all_0_4_4, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_4_4, all_76_1_69) = all_112_0_80, mem(all_0_4_4, all_76_1_69) = 0, yields: % 133.46/73.62 | (231) all_112_0_80 = 0 % 133.46/73.62 | % 133.46/73.62 | Equations (231) can reduce 207 to: % 133.46/73.62 | (173) $false % 133.46/73.62 | % 133.46/73.62 |-The branch is then unsatisfiable % 133.46/73.62 |-Branch two: % 133.46/73.62 | (3038) all_299_0_668 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3038) yields: % 133.46/73.62 | (3032) all_299_0_668 = 0 % 133.46/73.62 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 133.46/73.62 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 133.46/73.62 | % 133.46/73.62 | Instantiating (357) with all_370_0_688 yields: % 133.46/73.62 | (3115) (all_370_0_688 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_370_0_688 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 133.46/73.62 | % 133.46/73.62 +-Applying beta-rule and splitting (3091), into two cases. % 133.46/73.62 |-Branch one: % 133.46/73.62 | (3116) all_354_0_686 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3116) yields: % 133.46/73.62 | (3117) all_354_0_686 = 0 % 133.46/73.62 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.46/73.62 | (1381) all_87_1_73 = e % 133.46/73.62 | % 133.46/73.62 | From (1381) and (182) follows: % 133.46/73.62 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.46/73.62 | % 133.46/73.62 +-Applying beta-rule and splitting (3103), into two cases. % 133.46/73.62 |-Branch one: % 133.46/73.62 | (3121) all_362_0_687 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3121) yields: % 133.46/73.62 | (3122) all_362_0_687 = 0 % 133.46/73.62 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 133.46/73.62 | (374) all_137_1_87 = all_0_5_5 % 133.46/73.62 | % 133.46/73.62 | From (374) and (229) follows: % 133.46/73.62 | (375) mem(all_0_5_5, all_101_1_77) = all_137_0_86 % 133.46/73.62 | % 133.46/73.62 +-Applying beta-rule and splitting (3115), into two cases. % 133.46/73.62 |-Branch one: % 133.46/73.62 | (3126) all_370_0_688 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3126) yields: % 133.46/73.62 | (3127) all_370_0_688 = 0 % 133.46/73.62 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 133.46/73.62 | (379) all_183_1_101 = all_0_5_5 % 133.46/73.62 | % 133.46/73.62 | From (379) and (258) follows: % 133.46/73.62 | (380) mem(all_0_5_5, all_101_1_77) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (31) with all_0_5_5, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_5_5, all_101_1_77) = all_137_0_86, mem(all_0_5_5, all_101_1_77) = 0, yields: % 133.46/73.62 | (259) all_137_0_86 = 0 % 133.46/73.62 | % 133.46/73.62 | Equations (259) can reduce 228 to: % 133.46/73.62 | (173) $false % 133.46/73.62 | % 133.46/73.62 |-The branch is then unsatisfiable % 133.46/73.62 |-Branch two: % 133.46/73.62 | (3133) all_370_0_688 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3133) yields: % 133.46/73.62 | (3127) all_370_0_688 = 0 % 133.46/73.62 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 133.46/73.62 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 133.46/73.62 | % 133.46/73.62 | Instantiating (386) with all_408_0_690 yields: % 133.46/73.62 | (3137) (all_408_0_690 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_408_0_690 = 0 & mem(all_183_1_101, e) = 0) % 133.46/73.62 | % 133.46/73.62 +-Applying beta-rule and splitting (3137), into two cases. % 133.46/73.62 |-Branch one: % 133.46/73.62 | (3138) all_408_0_690 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3138) yields: % 133.46/73.62 | (3139) all_408_0_690 = 0 % 133.46/73.62 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 133.46/73.62 | (403) all_183_1_101 = e % 133.46/73.62 | % 133.46/73.62 | From (403) and (271) follows: % 133.46/73.62 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.62 | (210) all_87_0_72 = 0 % 133.46/73.62 | % 133.46/73.62 | Equations (210) can reduce 181 to: % 133.46/73.62 | (173) $false % 133.46/73.62 | % 133.46/73.62 |-The branch is then unsatisfiable % 133.46/73.62 |-Branch two: % 133.46/73.62 | (3145) all_408_0_690 = 0 & mem(all_183_1_101, e) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3145) yields: % 133.46/73.62 | (3139) all_408_0_690 = 0 % 133.46/73.62 | (418) mem(all_183_1_101, e) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 133.46/73.62 | (415) $false % 133.46/73.62 | % 133.46/73.62 |-The branch is then unsatisfiable % 133.46/73.62 |-Branch two: % 133.46/73.62 | (3149) all_362_0_687 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3149) yields: % 133.46/73.62 | (3122) all_362_0_687 = 0 % 133.46/73.62 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 133.46/73.62 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 133.46/73.62 | % 133.46/73.62 | Instantiating (423) with all_397_0_692 yields: % 133.46/73.62 | (3153) (all_397_0_692 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_397_0_692 = 0 & mem(all_137_1_87, e) = 0) % 133.46/73.62 | % 133.46/73.62 +-Applying beta-rule and splitting (3153), into two cases. % 133.46/73.62 |-Branch one: % 133.46/73.62 | (3154) all_397_0_692 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.62 | % 133.46/73.62 | Applying alpha-rule on (3154) yields: % 133.46/73.62 | (3155) all_397_0_692 = 0 % 133.46/73.62 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.62 | % 133.46/73.62 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 133.46/73.62 | (445) all_137_1_87 = e % 133.46/73.62 | % 133.46/73.62 | From (445) and (239) follows: % 133.46/73.63 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.63 | (210) all_87_0_72 = 0 % 133.46/73.63 | % 133.46/73.63 | Equations (210) can reduce 181 to: % 133.46/73.63 | (173) $false % 133.46/73.63 | % 133.46/73.63 |-The branch is then unsatisfiable % 133.46/73.63 |-Branch two: % 133.46/73.63 | (3161) all_397_0_692 = 0 & mem(all_137_1_87, e) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3161) yields: % 133.46/73.63 | (3155) all_397_0_692 = 0 % 133.46/73.63 | (460) mem(all_137_1_87, e) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 133.46/73.63 | (415) $false % 133.46/73.63 | % 133.46/73.63 |-The branch is then unsatisfiable % 133.46/73.63 |-Branch two: % 133.46/73.63 | (3165) all_354_0_686 = 0 & mem(all_87_1_73, e) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3165) yields: % 133.46/73.63 | (3117) all_354_0_686 = 0 % 133.46/73.63 | (1429) mem(all_87_1_73, e) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.46/73.63 | (415) $false % 133.46/73.63 | % 133.46/73.63 |-The branch is then unsatisfiable % 133.46/73.63 |-Branch two: % 133.46/73.63 | (1610) all_275_0_368 = 0 & mem(all_112_1_81, all_0_4_4) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (1610) yields: % 133.46/73.63 | (1604) all_275_0_368 = 0 % 133.46/73.63 | (489) mem(all_112_1_81, all_0_4_4) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_112_1_81, all_0_4_4) = 0, yields: % 133.46/73.63 | (490) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (v0 = 0 & mem(all_112_1_81, all_0_5_5) = 0)) % 133.46/73.63 | % 133.46/73.63 | Instantiating (490) with all_343_0_696 yields: % 133.46/73.63 | (3173) (all_343_0_696 = 0 & mem(all_112_1_81, all_0_2_2) = 0) | (all_343_0_696 = 0 & mem(all_112_1_81, all_0_5_5) = 0) % 133.46/73.63 | % 133.46/73.63 +-Applying beta-rule and splitting (2090), into two cases. % 133.46/73.63 |-Branch one: % 133.46/73.63 | (2125) all_283_0_449 = 0 & mem(all_87_1_73, all_0_2_2) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (2125) yields: % 133.46/73.63 | (2126) all_283_0_449 = 0 % 133.46/73.63 | (1153) mem(all_87_1_73, all_0_2_2) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_87_1_73 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_87_1_73, all_0_2_2) = 0, yields: % 133.46/73.63 | (1154) all_87_1_73 = all_0_5_5 % 133.46/73.63 | % 133.46/73.63 | From (1154) and (182) follows: % 133.46/73.63 | (1155) mem(all_0_5_5, all_59_1_62) = all_87_0_72 % 133.46/73.63 | % 133.46/73.63 +-Applying beta-rule and splitting (2555), into two cases. % 133.46/73.63 |-Branch one: % 133.46/73.63 | (2583) all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (2583) yields: % 133.46/73.63 | (2584) all_291_0_559 = 0 % 133.46/73.63 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 133.46/73.63 | (338) all_137_1_87 = all_0_4_4 % 133.46/73.63 | % 133.46/73.63 | From (338) and (229) follows: % 133.46/73.63 | (496) mem(all_0_4_4, all_101_1_77) = all_137_0_86 % 133.46/73.63 | % 133.46/73.63 +-Applying beta-rule and splitting (3008), into two cases. % 133.46/73.63 |-Branch one: % 133.46/73.63 | (3031) all_299_0_668 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3031) yields: % 133.46/73.63 | (3032) all_299_0_668 = 0 % 133.46/73.63 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 133.46/73.63 | (350) all_183_1_101 = all_0_4_4 % 133.46/73.63 | % 133.46/73.63 | From (350) and (258) follows: % 133.46/73.63 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 133.46/73.63 | (259) all_137_0_86 = 0 % 133.46/73.63 | % 133.46/73.63 | Equations (259) can reduce 228 to: % 133.46/73.63 | (173) $false % 133.46/73.63 | % 133.46/73.63 |-The branch is then unsatisfiable % 133.46/73.63 |-Branch two: % 133.46/73.63 | (3038) all_299_0_668 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3038) yields: % 133.46/73.63 | (3032) all_299_0_668 = 0 % 133.46/73.63 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 133.46/73.63 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 133.46/73.63 | % 133.46/73.63 | Instantiating (357) with all_373_0_697 yields: % 133.46/73.63 | (3195) (all_373_0_697 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_373_0_697 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 133.46/73.63 | % 133.46/73.63 +-Applying beta-rule and splitting (3173), into two cases. % 133.46/73.63 |-Branch one: % 133.46/73.63 | (3196) all_343_0_696 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3196) yields: % 133.46/73.63 | (3197) all_343_0_696 = 0 % 133.46/73.63 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.46/73.63 | (524) all_112_1_81 = all_0_5_5 % 133.46/73.63 | % 133.46/73.63 | From (524) and (209) follows: % 133.46/73.63 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.46/73.63 | (210) all_87_0_72 = 0 % 133.46/73.63 | % 133.46/73.63 | Equations (210) can reduce 181 to: % 133.46/73.63 | (173) $false % 133.46/73.63 | % 133.46/73.63 |-The branch is then unsatisfiable % 133.46/73.63 |-Branch two: % 133.46/73.63 | (3203) all_343_0_696 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3203) yields: % 133.46/73.63 | (3197) all_343_0_696 = 0 % 133.46/73.63 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.46/73.63 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.46/73.63 | % 133.46/73.63 | Instantiating (573) with all_389_0_699 yields: % 133.46/73.63 | (3207) (all_389_0_699 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_389_0_699 = 0 & mem(all_112_1_81, e) = 0) % 133.46/73.63 | % 133.46/73.63 +-Applying beta-rule and splitting (3195), into two cases. % 133.46/73.63 |-Branch one: % 133.46/73.63 | (3208) all_373_0_697 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3208) yields: % 133.46/73.63 | (3209) all_373_0_697 = 0 % 133.46/73.63 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 133.46/73.63 | (379) all_183_1_101 = all_0_5_5 % 133.46/73.63 | % 133.46/73.63 | From (379) and (271) follows: % 133.46/73.63 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.46/73.63 | (210) all_87_0_72 = 0 % 133.46/73.63 | % 133.46/73.63 | Equations (210) can reduce 181 to: % 133.46/73.63 | (173) $false % 133.46/73.63 | % 133.46/73.63 |-The branch is then unsatisfiable % 133.46/73.63 |-Branch two: % 133.46/73.63 | (3215) all_373_0_697 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3215) yields: % 133.46/73.63 | (3209) all_373_0_697 = 0 % 133.46/73.63 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 133.46/73.63 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 133.46/73.63 | % 133.46/73.63 | Instantiating (386) with all_397_0_700 yields: % 133.46/73.63 | (3219) (all_397_0_700 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_397_0_700 = 0 & mem(all_183_1_101, e) = 0) % 133.46/73.63 | % 133.46/73.63 +-Applying beta-rule and splitting (3207), into two cases. % 133.46/73.63 |-Branch one: % 133.46/73.63 | (3220) all_389_0_699 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3220) yields: % 133.46/73.63 | (3221) all_389_0_699 = 0 % 133.46/73.63 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.46/73.63 | (595) all_112_1_81 = e % 133.46/73.63 | % 133.46/73.63 | From (595) and (208) follows: % 133.46/73.63 | (596) mem(e, all_76_1_69) = all_112_0_80 % 133.46/73.63 | % 133.46/73.63 +-Applying beta-rule and splitting (3219), into two cases. % 133.46/73.63 |-Branch one: % 133.46/73.63 | (3225) all_397_0_700 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3225) yields: % 133.46/73.63 | (3226) all_397_0_700 = 0 % 133.46/73.63 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 133.46/73.63 | (403) all_183_1_101 = e % 133.46/73.63 | % 133.46/73.63 | From (403) and (263) follows: % 133.46/73.63 | (601) mem(e, all_76_1_69) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 133.46/73.63 | (231) all_112_0_80 = 0 % 133.46/73.63 | % 133.46/73.63 | Equations (231) can reduce 207 to: % 133.46/73.63 | (173) $false % 133.46/73.63 | % 133.46/73.63 |-The branch is then unsatisfiable % 133.46/73.63 |-Branch two: % 133.46/73.63 | (3232) all_397_0_700 = 0 & mem(all_183_1_101, e) = 0 % 133.46/73.63 | % 133.46/73.63 | Applying alpha-rule on (3232) yields: % 133.46/73.63 | (3226) all_397_0_700 = 0 % 133.46/73.63 | (418) mem(all_183_1_101, e) = 0 % 133.46/73.63 | % 133.46/73.63 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 133.46/73.63 | (415) $false % 133.46/73.63 | % 133.46/73.63 |-The branch is then unsatisfiable % 133.46/73.63 |-Branch two: % 133.46/73.63 | (3236) all_389_0_699 = 0 & mem(all_112_1_81, e) = 0 % 133.46/73.63 | % 133.46/73.64 | Applying alpha-rule on (3236) yields: % 133.46/73.64 | (3221) all_389_0_699 = 0 % 133.46/73.64 | (610) mem(all_112_1_81, e) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.46/73.64 | (415) $false % 133.46/73.64 | % 133.46/73.64 |-The branch is then unsatisfiable % 133.46/73.64 |-Branch two: % 133.46/73.64 | (2590) all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (2590) yields: % 133.46/73.64 | (2584) all_291_0_559 = 0 % 133.46/73.64 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 133.46/73.64 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 133.46/73.64 | % 133.46/73.64 | Instantiating (345) with all_362_0_702 yields: % 133.46/73.64 | (3244) (all_362_0_702 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_362_0_702 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 133.46/73.64 | % 133.46/73.64 +-Applying beta-rule and splitting (3173), into two cases. % 133.46/73.64 |-Branch one: % 133.46/73.64 | (3196) all_343_0_696 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3196) yields: % 133.46/73.64 | (3197) all_343_0_696 = 0 % 133.46/73.64 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.46/73.64 | (524) all_112_1_81 = all_0_5_5 % 133.46/73.64 | % 133.46/73.64 | From (524) and (209) follows: % 133.46/73.64 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.46/73.64 | (210) all_87_0_72 = 0 % 133.46/73.64 | % 133.46/73.64 | Equations (210) can reduce 181 to: % 133.46/73.64 | (173) $false % 133.46/73.64 | % 133.46/73.64 |-The branch is then unsatisfiable % 133.46/73.64 |-Branch two: % 133.46/73.64 | (3203) all_343_0_696 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3203) yields: % 133.46/73.64 | (3197) all_343_0_696 = 0 % 133.46/73.64 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.46/73.64 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.46/73.64 | % 133.46/73.64 | Instantiating (573) with all_389_0_704 yields: % 133.46/73.64 | (3256) (all_389_0_704 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_389_0_704 = 0 & mem(all_112_1_81, e) = 0) % 133.46/73.64 | % 133.46/73.64 +-Applying beta-rule and splitting (3244), into two cases. % 133.46/73.64 |-Branch one: % 133.46/73.64 | (3257) all_362_0_702 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3257) yields: % 133.46/73.64 | (3258) all_362_0_702 = 0 % 133.46/73.64 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 133.46/73.64 | (374) all_137_1_87 = all_0_5_5 % 133.46/73.64 | % 133.46/73.64 | From (374) and (239) follows: % 133.46/73.64 | (1189) mem(all_0_5_5, all_59_1_62) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (31) with all_0_5_5, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(all_0_5_5, all_59_1_62) = all_87_0_72, mem(all_0_5_5, all_59_1_62) = 0, yields: % 133.46/73.64 | (210) all_87_0_72 = 0 % 133.46/73.64 | % 133.46/73.64 | Equations (210) can reduce 181 to: % 133.46/73.64 | (173) $false % 133.46/73.64 | % 133.46/73.64 |-The branch is then unsatisfiable % 133.46/73.64 |-Branch two: % 133.46/73.64 | (3264) all_362_0_702 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3264) yields: % 133.46/73.64 | (3258) all_362_0_702 = 0 % 133.46/73.64 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 133.46/73.64 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 133.46/73.64 | % 133.46/73.64 | Instantiating (423) with all_397_0_705 yields: % 133.46/73.64 | (3268) (all_397_0_705 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_397_0_705 = 0 & mem(all_137_1_87, e) = 0) % 133.46/73.64 | % 133.46/73.64 +-Applying beta-rule and splitting (3256), into two cases. % 133.46/73.64 |-Branch one: % 133.46/73.64 | (3269) all_389_0_704 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3269) yields: % 133.46/73.64 | (3270) all_389_0_704 = 0 % 133.46/73.64 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.46/73.64 | (595) all_112_1_81 = e % 133.46/73.64 | % 133.46/73.64 | From (595) and (208) follows: % 133.46/73.64 | (596) mem(e, all_76_1_69) = all_112_0_80 % 133.46/73.64 | % 133.46/73.64 +-Applying beta-rule and splitting (3268), into two cases. % 133.46/73.64 |-Branch one: % 133.46/73.64 | (3274) all_397_0_705 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3274) yields: % 133.46/73.64 | (3275) all_397_0_705 = 0 % 133.46/73.64 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 133.46/73.64 | (445) all_137_1_87 = e % 133.46/73.64 | % 133.46/73.64 | From (445) and (230) follows: % 133.46/73.64 | (601) mem(e, all_76_1_69) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (31) with e, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(e, all_76_1_69) = all_112_0_80, mem(e, all_76_1_69) = 0, yields: % 133.46/73.64 | (231) all_112_0_80 = 0 % 133.46/73.64 | % 133.46/73.64 | Equations (231) can reduce 207 to: % 133.46/73.64 | (173) $false % 133.46/73.64 | % 133.46/73.64 |-The branch is then unsatisfiable % 133.46/73.64 |-Branch two: % 133.46/73.64 | (3281) all_397_0_705 = 0 & mem(all_137_1_87, e) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3281) yields: % 133.46/73.64 | (3275) all_397_0_705 = 0 % 133.46/73.64 | (460) mem(all_137_1_87, e) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 133.46/73.64 | (415) $false % 133.46/73.64 | % 133.46/73.64 |-The branch is then unsatisfiable % 133.46/73.64 |-Branch two: % 133.46/73.64 | (3285) all_389_0_704 = 0 & mem(all_112_1_81, e) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3285) yields: % 133.46/73.64 | (3270) all_389_0_704 = 0 % 133.46/73.64 | (610) mem(all_112_1_81, e) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.46/73.64 | (415) $false % 133.46/73.64 | % 133.46/73.64 |-The branch is then unsatisfiable % 133.46/73.64 |-Branch two: % 133.46/73.64 | (2198) all_283_0_449 = 0 & mem(all_87_1_73, all_0_5_5) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (2198) yields: % 133.46/73.64 | (2126) all_283_0_449 = 0 % 133.46/73.64 | (1346) mem(all_87_1_73, all_0_5_5) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_87_1_73 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_87_1_73, all_0_5_5) = 0, yields: % 133.46/73.64 | (1347) ? [v0] : ((v0 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (v0 = 0 & mem(all_87_1_73, e) = 0)) % 133.46/73.64 | % 133.46/73.64 | Instantiating (1347) with all_351_0_707 yields: % 133.46/73.64 | (3293) (all_351_0_707 = 0 & mem(all_87_1_73, all_68_0_64) = 0) | (all_351_0_707 = 0 & mem(all_87_1_73, e) = 0) % 133.46/73.64 | % 133.46/73.64 +-Applying beta-rule and splitting (2555), into two cases. % 133.46/73.64 |-Branch one: % 133.46/73.64 | (2583) all_291_0_559 = 0 & mem(all_137_1_87, all_72_0_66) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (2583) yields: % 133.46/73.64 | (2584) all_291_0_559 = 0 % 133.46/73.64 | (337) mem(all_137_1_87, all_72_0_66) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_137_1_87 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_137_1_87, all_72_0_66) = 0, yields: % 133.46/73.64 | (338) all_137_1_87 = all_0_4_4 % 133.46/73.64 | % 133.46/73.64 | From (338) and (229) follows: % 133.46/73.64 | (496) mem(all_0_4_4, all_101_1_77) = all_137_0_86 % 133.46/73.64 | % 133.46/73.64 +-Applying beta-rule and splitting (3008), into two cases. % 133.46/73.64 |-Branch one: % 133.46/73.64 | (3031) all_299_0_668 = 0 & mem(all_183_1_101, all_72_0_66) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3031) yields: % 133.46/73.64 | (3032) all_299_0_668 = 0 % 133.46/73.64 | (349) mem(all_183_1_101, all_72_0_66) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (113) with all_72_0_66, all_0_4_4, all_183_1_101 and discharging atoms s(all_0_4_4) = all_72_0_66, mem(all_183_1_101, all_72_0_66) = 0, yields: % 133.46/73.64 | (350) all_183_1_101 = all_0_4_4 % 133.46/73.64 | % 133.46/73.64 | From (350) and (258) follows: % 133.46/73.64 | (501) mem(all_0_4_4, all_101_1_77) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (31) with all_0_4_4, all_101_1_77, 0, all_137_0_86 and discharging atoms mem(all_0_4_4, all_101_1_77) = all_137_0_86, mem(all_0_4_4, all_101_1_77) = 0, yields: % 133.46/73.64 | (259) all_137_0_86 = 0 % 133.46/73.64 | % 133.46/73.64 | Equations (259) can reduce 228 to: % 133.46/73.64 | (173) $false % 133.46/73.64 | % 133.46/73.64 |-The branch is then unsatisfiable % 133.46/73.64 |-Branch two: % 133.46/73.64 | (3038) all_299_0_668 = 0 & mem(all_183_1_101, all_0_4_4) = 0 % 133.46/73.64 | % 133.46/73.64 | Applying alpha-rule on (3038) yields: % 133.46/73.64 | (3032) all_299_0_668 = 0 % 133.46/73.64 | (356) mem(all_183_1_101, all_0_4_4) = 0 % 133.46/73.64 | % 133.46/73.64 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_183_1_101, all_0_4_4) = 0, yields: % 133.46/73.64 | (357) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (v0 = 0 & mem(all_183_1_101, all_0_5_5) = 0)) % 133.46/73.64 | % 133.46/73.64 | Instantiating (357) with all_370_0_708 yields: % 133.46/73.64 | (3310) (all_370_0_708 = 0 & mem(all_183_1_101, all_0_2_2) = 0) | (all_370_0_708 = 0 & mem(all_183_1_101, all_0_5_5) = 0) % 133.46/73.64 | % 133.46/73.64 +-Applying beta-rule and splitting (3173), into two cases. % 133.46/73.64 |-Branch one: % 133.46/73.64 | (3196) all_343_0_696 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.64 | % 133.46/73.65 | Applying alpha-rule on (3196) yields: % 133.46/73.65 | (3197) all_343_0_696 = 0 % 133.46/73.65 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.46/73.65 | (524) all_112_1_81 = all_0_5_5 % 133.46/73.65 | % 133.46/73.65 | From (524) and (208) follows: % 133.46/73.65 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 133.46/73.65 | % 133.46/73.65 +-Applying beta-rule and splitting (3293), into two cases. % 133.46/73.65 |-Branch one: % 133.46/73.65 | (3316) all_351_0_707 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3316) yields: % 133.46/73.65 | (3317) all_351_0_707 = 0 % 133.46/73.65 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.46/73.65 | (1381) all_87_1_73 = e % 133.46/73.65 | % 133.46/73.65 | From (1381) and (182) follows: % 133.46/73.65 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.46/73.65 | % 133.46/73.65 +-Applying beta-rule and splitting (3310), into two cases. % 133.46/73.65 |-Branch one: % 133.46/73.65 | (3321) all_370_0_708 = 0 & mem(all_183_1_101, all_0_2_2) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3321) yields: % 133.46/73.65 | (3322) all_370_0_708 = 0 % 133.46/73.65 | (378) mem(all_183_1_101, all_0_2_2) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_183_1_101 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_183_1_101, all_0_2_2) = 0, yields: % 133.46/73.65 | (379) all_183_1_101 = all_0_5_5 % 133.46/73.65 | % 133.46/73.65 | From (379) and (263) follows: % 133.46/73.65 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 133.46/73.65 | (231) all_112_0_80 = 0 % 133.46/73.65 | % 133.46/73.65 | Equations (231) can reduce 207 to: % 133.46/73.65 | (173) $false % 133.46/73.65 | % 133.46/73.65 |-The branch is then unsatisfiable % 133.46/73.65 |-Branch two: % 133.46/73.65 | (3328) all_370_0_708 = 0 & mem(all_183_1_101, all_0_5_5) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3328) yields: % 133.46/73.65 | (3322) all_370_0_708 = 0 % 133.46/73.65 | (385) mem(all_183_1_101, all_0_5_5) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_183_1_101 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_183_1_101, all_0_5_5) = 0, yields: % 133.46/73.65 | (386) ? [v0] : ((v0 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (v0 = 0 & mem(all_183_1_101, e) = 0)) % 133.46/73.65 | % 133.46/73.65 | Instantiating (386) with all_408_0_710 yields: % 133.46/73.65 | (3332) (all_408_0_710 = 0 & mem(all_183_1_101, all_68_0_64) = 0) | (all_408_0_710 = 0 & mem(all_183_1_101, e) = 0) % 133.46/73.65 | % 133.46/73.65 +-Applying beta-rule and splitting (3332), into two cases. % 133.46/73.65 |-Branch one: % 133.46/73.65 | (3333) all_408_0_710 = 0 & mem(all_183_1_101, all_68_0_64) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3333) yields: % 133.46/73.65 | (3334) all_408_0_710 = 0 % 133.46/73.65 | (402) mem(all_183_1_101, all_68_0_64) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (113) with all_68_0_64, e, all_183_1_101 and discharging atoms s(e) = all_68_0_64, mem(all_183_1_101, all_68_0_64) = 0, yields: % 133.46/73.65 | (403) all_183_1_101 = e % 133.46/73.65 | % 133.46/73.65 | From (403) and (271) follows: % 133.46/73.65 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.65 | (210) all_87_0_72 = 0 % 133.46/73.65 | % 133.46/73.65 | Equations (210) can reduce 181 to: % 133.46/73.65 | (173) $false % 133.46/73.65 | % 133.46/73.65 |-The branch is then unsatisfiable % 133.46/73.65 |-Branch two: % 133.46/73.65 | (3340) all_408_0_710 = 0 & mem(all_183_1_101, e) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3340) yields: % 133.46/73.65 | (3334) all_408_0_710 = 0 % 133.46/73.65 | (418) mem(all_183_1_101, e) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (58) with all_183_1_101 and discharging atoms mem(all_183_1_101, e) = 0, yields: % 133.46/73.65 | (415) $false % 133.46/73.65 | % 133.46/73.65 |-The branch is then unsatisfiable % 133.46/73.65 |-Branch two: % 133.46/73.65 | (3344) all_351_0_707 = 0 & mem(all_87_1_73, e) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3344) yields: % 133.46/73.65 | (3317) all_351_0_707 = 0 % 133.46/73.65 | (1429) mem(all_87_1_73, e) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.46/73.65 | (415) $false % 133.46/73.65 | % 133.46/73.65 |-The branch is then unsatisfiable % 133.46/73.65 |-Branch two: % 133.46/73.65 | (3203) all_343_0_696 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3203) yields: % 133.46/73.65 | (3197) all_343_0_696 = 0 % 133.46/73.65 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.46/73.65 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.46/73.65 | % 133.46/73.65 | Instantiating (573) with all_386_0_712 yields: % 133.46/73.65 | (3352) (all_386_0_712 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_386_0_712 = 0 & mem(all_112_1_81, e) = 0) % 133.46/73.65 | % 133.46/73.65 +-Applying beta-rule and splitting (3293), into two cases. % 133.46/73.65 |-Branch one: % 133.46/73.65 | (3316) all_351_0_707 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3316) yields: % 133.46/73.65 | (3317) all_351_0_707 = 0 % 133.46/73.65 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.46/73.65 | (1381) all_87_1_73 = e % 133.46/73.65 | % 133.46/73.65 | From (1381) and (182) follows: % 133.46/73.65 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.46/73.65 | % 133.46/73.65 +-Applying beta-rule and splitting (3352), into two cases. % 133.46/73.65 |-Branch one: % 133.46/73.65 | (3358) all_386_0_712 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3358) yields: % 133.46/73.65 | (3359) all_386_0_712 = 0 % 133.46/73.65 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.46/73.65 | (595) all_112_1_81 = e % 133.46/73.65 | % 133.46/73.65 | From (595) and (209) follows: % 133.46/73.65 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.65 | (210) all_87_0_72 = 0 % 133.46/73.65 | % 133.46/73.65 | Equations (210) can reduce 181 to: % 133.46/73.65 | (173) $false % 133.46/73.65 | % 133.46/73.65 |-The branch is then unsatisfiable % 133.46/73.65 |-Branch two: % 133.46/73.65 | (3365) all_386_0_712 = 0 & mem(all_112_1_81, e) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3365) yields: % 133.46/73.65 | (3359) all_386_0_712 = 0 % 133.46/73.65 | (610) mem(all_112_1_81, e) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.46/73.65 | (415) $false % 133.46/73.65 | % 133.46/73.65 |-The branch is then unsatisfiable % 133.46/73.65 |-Branch two: % 133.46/73.65 | (3344) all_351_0_707 = 0 & mem(all_87_1_73, e) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3344) yields: % 133.46/73.65 | (3317) all_351_0_707 = 0 % 133.46/73.65 | (1429) mem(all_87_1_73, e) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.46/73.65 | (415) $false % 133.46/73.65 | % 133.46/73.65 |-The branch is then unsatisfiable % 133.46/73.65 |-Branch two: % 133.46/73.65 | (2590) all_291_0_559 = 0 & mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (2590) yields: % 133.46/73.65 | (2584) all_291_0_559 = 0 % 133.46/73.65 | (344) mem(all_137_1_87, all_0_4_4) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms u(all_0_5_5, all_0_2_2) = all_0_4_4, mem(all_137_1_87, all_0_4_4) = 0, yields: % 133.46/73.65 | (345) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (v0 = 0 & mem(all_137_1_87, all_0_5_5) = 0)) % 133.46/73.65 | % 133.46/73.65 | Instantiating (345) with all_359_0_714 yields: % 133.46/73.65 | (3377) (all_359_0_714 = 0 & mem(all_137_1_87, all_0_2_2) = 0) | (all_359_0_714 = 0 & mem(all_137_1_87, all_0_5_5) = 0) % 133.46/73.65 | % 133.46/73.65 +-Applying beta-rule and splitting (3173), into two cases. % 133.46/73.65 |-Branch one: % 133.46/73.65 | (3196) all_343_0_696 = 0 & mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.65 | % 133.46/73.65 | Applying alpha-rule on (3196) yields: % 133.46/73.65 | (3197) all_343_0_696 = 0 % 133.46/73.65 | (523) mem(all_112_1_81, all_0_2_2) = 0 % 133.46/73.65 | % 133.46/73.65 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_112_1_81 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_112_1_81, all_0_2_2) = 0, yields: % 133.46/73.65 | (524) all_112_1_81 = all_0_5_5 % 133.46/73.65 | % 133.46/73.65 | From (524) and (208) follows: % 133.46/73.65 | (525) mem(all_0_5_5, all_76_1_69) = all_112_0_80 % 133.46/73.65 | % 133.46/73.65 +-Applying beta-rule and splitting (3293), into two cases. % 133.46/73.65 |-Branch one: % 133.46/73.66 | (3316) all_351_0_707 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3316) yields: % 133.46/73.66 | (3317) all_351_0_707 = 0 % 133.46/73.66 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.46/73.66 | (1381) all_87_1_73 = e % 133.46/73.66 | % 133.46/73.66 | From (1381) and (182) follows: % 133.46/73.66 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.46/73.66 | % 133.46/73.66 +-Applying beta-rule and splitting (3377), into two cases. % 133.46/73.66 |-Branch one: % 133.46/73.66 | (3388) all_359_0_714 = 0 & mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3388) yields: % 133.46/73.66 | (3389) all_359_0_714 = 0 % 133.46/73.66 | (373) mem(all_137_1_87, all_0_2_2) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (113) with all_0_2_2, all_0_5_5, all_137_1_87 and discharging atoms s(all_0_5_5) = all_0_2_2, mem(all_137_1_87, all_0_2_2) = 0, yields: % 133.46/73.66 | (374) all_137_1_87 = all_0_5_5 % 133.46/73.66 | % 133.46/73.66 | From (374) and (230) follows: % 133.46/73.66 | (530) mem(all_0_5_5, all_76_1_69) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (31) with all_0_5_5, all_76_1_69, 0, all_112_0_80 and discharging atoms mem(all_0_5_5, all_76_1_69) = all_112_0_80, mem(all_0_5_5, all_76_1_69) = 0, yields: % 133.46/73.66 | (231) all_112_0_80 = 0 % 133.46/73.66 | % 133.46/73.66 | Equations (231) can reduce 207 to: % 133.46/73.66 | (173) $false % 133.46/73.66 | % 133.46/73.66 |-The branch is then unsatisfiable % 133.46/73.66 |-Branch two: % 133.46/73.66 | (3395) all_359_0_714 = 0 & mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3395) yields: % 133.46/73.66 | (3389) all_359_0_714 = 0 % 133.46/73.66 | (422) mem(all_137_1_87, all_0_5_5) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_137_1_87 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_137_1_87, all_0_5_5) = 0, yields: % 133.46/73.66 | (423) ? [v0] : ((v0 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (v0 = 0 & mem(all_137_1_87, e) = 0)) % 133.46/73.66 | % 133.46/73.66 | Instantiating (423) with all_408_0_716 yields: % 133.46/73.66 | (3399) (all_408_0_716 = 0 & mem(all_137_1_87, all_68_0_64) = 0) | (all_408_0_716 = 0 & mem(all_137_1_87, e) = 0) % 133.46/73.66 | % 133.46/73.66 +-Applying beta-rule and splitting (3399), into two cases. % 133.46/73.66 |-Branch one: % 133.46/73.66 | (3400) all_408_0_716 = 0 & mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3400) yields: % 133.46/73.66 | (3401) all_408_0_716 = 0 % 133.46/73.66 | (444) mem(all_137_1_87, all_68_0_64) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (113) with all_68_0_64, e, all_137_1_87 and discharging atoms s(e) = all_68_0_64, mem(all_137_1_87, all_68_0_64) = 0, yields: % 133.46/73.66 | (445) all_137_1_87 = e % 133.46/73.66 | % 133.46/73.66 | From (445) and (239) follows: % 133.46/73.66 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.66 | (210) all_87_0_72 = 0 % 133.46/73.66 | % 133.46/73.66 | Equations (210) can reduce 181 to: % 133.46/73.66 | (173) $false % 133.46/73.66 | % 133.46/73.66 |-The branch is then unsatisfiable % 133.46/73.66 |-Branch two: % 133.46/73.66 | (3407) all_408_0_716 = 0 & mem(all_137_1_87, e) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3407) yields: % 133.46/73.66 | (3401) all_408_0_716 = 0 % 133.46/73.66 | (460) mem(all_137_1_87, e) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (58) with all_137_1_87 and discharging atoms mem(all_137_1_87, e) = 0, yields: % 133.46/73.66 | (415) $false % 133.46/73.66 | % 133.46/73.66 |-The branch is then unsatisfiable % 133.46/73.66 |-Branch two: % 133.46/73.66 | (3344) all_351_0_707 = 0 & mem(all_87_1_73, e) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3344) yields: % 133.46/73.66 | (3317) all_351_0_707 = 0 % 133.46/73.66 | (1429) mem(all_87_1_73, e) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.46/73.66 | (415) $false % 133.46/73.66 | % 133.46/73.66 |-The branch is then unsatisfiable % 133.46/73.66 |-Branch two: % 133.46/73.66 | (3203) all_343_0_696 = 0 & mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3203) yields: % 133.46/73.66 | (3197) all_343_0_696 = 0 % 133.46/73.66 | (572) mem(all_112_1_81, all_0_5_5) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (5) with all_0_5_5, all_68_0_64, e, all_112_1_81 and discharging atoms u(e, all_68_0_64) = all_0_5_5, mem(all_112_1_81, all_0_5_5) = 0, yields: % 133.46/73.66 | (573) ? [v0] : ((v0 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (v0 = 0 & mem(all_112_1_81, e) = 0)) % 133.46/73.66 | % 133.46/73.66 | Instantiating (573) with all_386_0_718 yields: % 133.46/73.66 | (3419) (all_386_0_718 = 0 & mem(all_112_1_81, all_68_0_64) = 0) | (all_386_0_718 = 0 & mem(all_112_1_81, e) = 0) % 133.46/73.66 | % 133.46/73.66 +-Applying beta-rule and splitting (3293), into two cases. % 133.46/73.66 |-Branch one: % 133.46/73.66 | (3316) all_351_0_707 = 0 & mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3316) yields: % 133.46/73.66 | (3317) all_351_0_707 = 0 % 133.46/73.66 | (1380) mem(all_87_1_73, all_68_0_64) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (113) with all_68_0_64, e, all_87_1_73 and discharging atoms s(e) = all_68_0_64, mem(all_87_1_73, all_68_0_64) = 0, yields: % 133.46/73.66 | (1381) all_87_1_73 = e % 133.46/73.66 | % 133.46/73.66 | From (1381) and (182) follows: % 133.46/73.66 | (1382) mem(e, all_59_1_62) = all_87_0_72 % 133.46/73.66 | % 133.46/73.66 +-Applying beta-rule and splitting (3419), into two cases. % 133.46/73.66 |-Branch one: % 133.46/73.66 | (3425) all_386_0_718 = 0 & mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3425) yields: % 133.46/73.66 | (3426) all_386_0_718 = 0 % 133.46/73.66 | (594) mem(all_112_1_81, all_68_0_64) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (113) with all_68_0_64, e, all_112_1_81 and discharging atoms s(e) = all_68_0_64, mem(all_112_1_81, all_68_0_64) = 0, yields: % 133.46/73.66 | (595) all_112_1_81 = e % 133.46/73.66 | % 133.46/73.66 | From (595) and (209) follows: % 133.46/73.66 | (1404) mem(e, all_59_1_62) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (31) with e, all_59_1_62, 0, all_87_0_72 and discharging atoms mem(e, all_59_1_62) = all_87_0_72, mem(e, all_59_1_62) = 0, yields: % 133.46/73.66 | (210) all_87_0_72 = 0 % 133.46/73.66 | % 133.46/73.66 | Equations (210) can reduce 181 to: % 133.46/73.66 | (173) $false % 133.46/73.66 | % 133.46/73.66 |-The branch is then unsatisfiable % 133.46/73.66 |-Branch two: % 133.46/73.66 | (3432) all_386_0_718 = 0 & mem(all_112_1_81, e) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3432) yields: % 133.46/73.66 | (3426) all_386_0_718 = 0 % 133.46/73.66 | (610) mem(all_112_1_81, e) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (58) with all_112_1_81 and discharging atoms mem(all_112_1_81, e) = 0, yields: % 133.46/73.66 | (415) $false % 133.46/73.66 | % 133.46/73.66 |-The branch is then unsatisfiable % 133.46/73.66 |-Branch two: % 133.46/73.66 | (3344) all_351_0_707 = 0 & mem(all_87_1_73, e) = 0 % 133.46/73.66 | % 133.46/73.66 | Applying alpha-rule on (3344) yields: % 133.46/73.66 | (3317) all_351_0_707 = 0 % 133.46/73.66 | (1429) mem(all_87_1_73, e) = 0 % 133.46/73.66 | % 133.46/73.66 | Instantiating formula (58) with all_87_1_73 and discharging atoms mem(all_87_1_73, e) = 0, yields: % 133.46/73.66 | (415) $false % 133.46/73.66 | % 133.46/73.66 |-The branch is then unsatisfiable % 133.46/73.66 % SZS output end Proof for theBenchmark % 133.46/73.66 % 133.46/73.66 73070ms %------------------------------------------------------------------------------