%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWC027+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 20:15:48 EDT 2022 % Result : Theorem 20.82s 6.46s % Output : Proof 24.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC027+1 : TPTP v8.1.0. Released v2.4.0. % 0.00/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n020.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jun 12 15:45:50 EDT 2022 % 0.12/0.34 % CPUTime : % 0.57/0.62 ____ _ % 0.57/0.62 ___ / __ \_____(_)___ ________ __________ % 0.57/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.57/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.57/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.57/0.62 % 0.57/0.62 A Theorem Prover for First-Order Logic % 0.57/0.62 (ePrincess v.1.0) % 0.57/0.62 % 0.57/0.62 (c) Philipp Rümmer, 2009-2015 % 0.57/0.62 (c) Peter Backeman, 2014-2015 % 0.57/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.57/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.57/0.62 Bug reports to peter@backeman.se % 0.57/0.62 % 0.57/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.57/0.62 % 0.57/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.71/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.29/1.15 Prover 0: Preprocessing ... % 4.54/1.71 Prover 0: Constructing countermodel ... % 18.79/5.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 19.47/6.13 Prover 1: Preprocessing ... % 20.82/6.38 Prover 1: Constructing countermodel ... % 20.82/6.46 Prover 1: proved (477ms) % 20.82/6.46 Prover 0: stopped % 20.82/6.46 % 20.82/6.46 No countermodel exists, formula is valid % 20.82/6.46 % SZS status Theorem for theBenchmark % 20.82/6.46 % 20.82/6.46 Generating proof ... found it (size 128) % 23.68/6.99 % 23.68/6.99 % SZS output start Proof for theBenchmark % 23.68/6.99 Assumed formulas after preprocessing and simplification: % 23.68/6.99 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & ssItem(v8) = 0 & ssItem(v7) = 0 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = 0 | ~ (strictorderedP(v9) = 0) | ~ (lt(v10, v11) = v12) | ~ (ssList(v13) = 0) | ~ (cons(v11, v17) = v18) | ~ (cons(v10, v14) = v15) | ~ (app(v16, v18) = v9) | ~ (app(v13, v15) = v16) | ~ (ssItem(v10) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v9) = v19) | ( ~ (v19 = 0) & ssItem(v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = 0 | ~ (totalorderedP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssList(v13) = 0) | ~ (cons(v11, v17) = v18) | ~ (cons(v10, v14) = v15) | ~ (app(v16, v18) = v9) | ~ (app(v13, v15) = v16) | ~ (ssItem(v10) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v9) = v19) | ( ~ (v19 = 0) & ssItem(v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (duplicatefreeP(v9) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v10, v15) = v16) | ~ (cons(v10, v12) = v13) | ~ (app(v14, v16) = v9) | ~ (app(v11, v13) = v14) | ~ (ssItem(v10) = 0) | ? [v17] : (( ~ (v17 = 0) & ssList(v15) = v17) | ( ~ (v17 = 0) & ssList(v12) = v17) | ( ~ (v17 = 0) & ssList(v9) = v17))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v14, v10) = v15) | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v12, v13) = v14) | ~ (app(v11, v9) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v11) = v16) | ( ~ (v16 = 0) & ssList(v10) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (equalelemsP(v9) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v11, v13) = v14) | ~ (cons(v10, v14) = v15) | ~ (app(v12, v15) = v9) | ~ (ssItem(v11) = 0) | ~ (ssItem(v10) = 0) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v9) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (frontsegP(v12, v14) = v15) | ~ (cons(v10, v13) = v14) | ~ (cons(v9, v11) = v12) | ~ (ssItem(v10) = 0) | ~ (ssItem(v9) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v11) = v16) | (frontsegP(v11, v13) = v17 & ssList(v13) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v10 = v9) | v15 = 0) & ( ~ (v15 = 0) | (v17 = 0 & v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = 0 | ~ (segmentP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v13, v14) = v9) | ~ (app(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssList(v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = 0 | ~ (memberP(v9, v10) = v11) | ~ (ssList(v12) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v10, v13) = v14) | ~ (app(v12, v14) = v9) | ? [v15] : (( ~ (v15 = 0) & ssList(v13) = v15) | ( ~ (v15 = 0) & ssItem(v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (memberP(v13, v9) = v14) | ~ (memberP(v10, v9) = v11) | ~ (app(v10, v12) = v13) | ~ (ssItem(v9) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v10) = v15) | (memberP(v12, v9) = v16 & ssList(v12) = v15 & ( ~ (v15 = 0) | (( ~ (v14 = 0) | v16 = 0 | v11 = 0) & (v14 = 0 | ( ~ (v16 = 0) & ~ (v11 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v9) = 0) | ~ (cons(v12, v10) = v13) | ~ (app(v13, v9) = v14) | ~ (app(v10, v9) = v11) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v10) = v15) | (cons(v12, v11) = v16 & ssItem(v12) = v15 & ( ~ (v15 = 0) | v16 = v14)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (ssList(v10) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v13, v10) = v12) | ~ (cons(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssItem(v13) = v14) | ( ~ (v14 = 0) & ssItem(v11) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, v10) = v13) | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v11) = v14) | ( ~ (v14 = 0) & ssList(v10) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, v10) = v13) | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v9, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v11) = v14) | ( ~ (v14 = 0) & ssList(v10) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (ssList(v10) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v13, v10) = v12) | ~ (cons(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssItem(v13) = v14) | ( ~ (v14 = 0) & ssItem(v11) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (memberP(v12, v9) = v13) | ~ (cons(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ~ (ssItem(v9) = 0) | ? [v14] : ? [v15] : (memberP(v11, v9) = v15 & ssList(v11) = v14 & ( ~ (v14 = 0) | (( ~ (v13 = 0) | v15 = 0 | v10 = v9) & (v13 = 0 | ( ~ (v15 = 0) & ~ (v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v9) = 0) | ~ (app(v11, v12) = v13) | ~ (app(v9, v10) = v11) | ? [v14] : ? [v15] : ? [v16] : (( ~ (v14 = 0) & ssList(v10) = v14) | (ssList(v12) = v14 & app(v10, v12) = v15 & app(v9, v15) = v16 & ( ~ (v14 = 0) | v16 = v13)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | v9 = nil | ~ (tl(v9) = v11) | ~ (hd(v9) = v10) | ~ (cons(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v9) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (ssList(v9) = 0) | ~ (app(v12, v10) = v11) | ~ (app(v9, v10) = v11) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (ssList(v9) = 0) | ~ (app(v10, v12) = v11) | ~ (app(v10, v9) = v11) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (gt(v9, v11) = v12) | ~ (gt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (gt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v9, v11) = v12) | ~ (geq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (geq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v9, v11) = v12) | ~ (lt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (lt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v9, v11) = v12) | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (lt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v9, v11) = v12) | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (leq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (segmentP(v9, v11) = v12) | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (segmentP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (rearsegP(v9, v11) = v12) | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (rearsegP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (frontsegP(v9, v11) = v12) | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (frontsegP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (rearsegP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v12, v10) = v9) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (frontsegP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v10, v12) = v9) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (gt(v12, v11) = v10) | ~ (gt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (geq(v12, v11) = v10) | ~ (geq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (lt(v12, v11) = v10) | ~ (lt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (leq(v12, v11) = v10) | ~ (leq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (segmentP(v12, v11) = v10) | ~ (segmentP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (rearsegP(v12, v11) = v10) | ~ (rearsegP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (frontsegP(v12, v11) = v10) | ~ (frontsegP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (memberP(v12, v11) = v10) | ~ (memberP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (cons(v12, v11) = v10) | ~ (cons(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (app(v12, v11) = v10) | ~ (app(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (neq(v12, v11) = v10) | ~ (neq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = nil | ~ (tl(v9) = v10) | ~ (app(v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (( ~ (v13 = 0) & ssList(v9) = v13) | (tl(v14) = v15 & ssList(v11) = v13 & app(v9, v11) = v14 & ( ~ (v13 = 0) | v15 = v12)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = nil | ~ (hd(v9) = v10) | ~ (app(v9, v11) = v12) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (hd(v12) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | v14 = v10)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (hd(v10) = v11) | ~ (lt(v9, v11) = v12) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (strictorderedP(v14) = v15 & strictorderedP(v10) = v16 & ssList(v10) = v13 & cons(v9, v10) = v14 & ( ~ (v13 = 0) | (( ~ (v15 = 0) | v10 = nil | (v16 = 0 & v12 = 0)) & (v15 = 0 | ( ~ (v10 = nil) & ( ~ (v16 = 0) | ~ (v12 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (hd(v10) = v11) | ~ (leq(v9, v11) = v12) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (totalorderedP(v14) = v15 & totalorderedP(v10) = v16 & ssList(v10) = v13 & cons(v9, v10) = v14 & ( ~ (v13 = 0) | (( ~ (v15 = 0) | v10 = nil | (v16 = 0 & v12 = 0)) & (v15 = 0 | ( ~ (v10 = nil) & ( ~ (v16 = 0) | ~ (v12 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (strictorderP(v9) = 0) | ~ (lt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (lt(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | v12 = 0 | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (totalorderP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (leq(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | v12 = 0 | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cyclefreeP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (leq(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (v14 = 0) | ~ (v12 = 0) | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, nil) = v11) | ~ (app(v11, v9) = v12) | ? [v13] : ? [v14] : (cons(v10, v9) = v14 & ssItem(v10) = v13 & ( ~ (v13 = 0) | v14 = v12))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (lt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v9, v10) = v13 & ssItem(v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (ssList(v9) = 0) | ~ (neq(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (neq(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ( ~ (v12 = 0) & ssItem(v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (tl(v11) = v10) | ~ (tl(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (hd(v11) = v10) | ~ (hd(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (equalelemsP(v11) = v10) | ~ (equalelemsP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (duplicatefreeP(v11) = v10) | ~ (duplicatefreeP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (strictorderedP(v11) = v10) | ~ (strictorderedP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (totalorderedP(v11) = v10) | ~ (totalorderedP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (strictorderP(v11) = v10) | ~ (strictorderP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (totalorderP(v11) = v10) | ~ (totalorderP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cyclefreeP(v11) = v10) | ~ (cyclefreeP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (singletonP(v11) = v10) | ~ (singletonP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (ssList(v11) = v10) | ~ (ssList(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (ssItem(v11) = v10) | ~ (ssItem(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (singletonP(v9) = v10) | ~ (cons(v11, nil) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v9) = v12) | ( ~ (v12 = 0) & ssItem(v11) = v12))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (gt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (lt(v10, v9) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0) & ( ~ (v11 = 0) | v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (geq(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v10, v9) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0) & ( ~ (v11 = 0) | v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (lt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v9, v10) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0 | v10 = v9) & ( ~ (v11 = 0) | (v13 = 0 & ~ (v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (tl(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = v9))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (hd(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = v10))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (ssList(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (app(v9, v10) = v11) | ? [v12] : ? [v13] : (ssList(v11) = v13 & ssList(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (geq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (geq(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (leq(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (segmentP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (rearsegP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (frontsegP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (app(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = v9 | ~ (app(nil, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = nil | ~ (ssList(v9) = 0) | ~ (app(v9, v10) = nil) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (geq(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssItem(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (equalelemsP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = v9 & v18 = 0 & v16 = 0 & v14 = 0 & v12 = 0 & ~ (v13 = v11) & ssList(v17) = 0 & ssList(v15) = 0 & cons(v13, v17) = v19 & cons(v11, v19) = v20 & app(v15, v20) = v9 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (duplicatefreeP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v9 & v22 = 0 & v18 = 0 & v16 = 0 & v14 = 0 & v13 = v11 & v12 = 0 & ssList(v21) = 0 & ssList(v17) = 0 & ssList(v15) = 0 & cons(v11, v21) = v23 & cons(v11, v17) = v19 & app(v20, v23) = v9 & app(v15, v19) = v20 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (strictorderedP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v9 & v23 = 0 & v19 = 0 & v17 = 0 & v14 = 0 & v12 = 0 & ~ (v15 = 0) & lt(v11, v13) = v15 & ssList(v22) = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v13, v22) = v24 & cons(v11, v18) = v20 & app(v21, v24) = v9 & app(v16, v20) = v21 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (totalorderedP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v9 & v23 = 0 & v19 = 0 & v17 = 0 & v14 = 0 & v12 = 0 & ~ (v15 = 0) & leq(v11, v13) = v15 & ssList(v22) = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v13, v22) = v24 & cons(v11, v18) = v20 & app(v21, v24) = v9 & app(v16, v20) = v21 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (strictorderP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v14 = 0 & v12 = 0 & ~ (v16 = 0) & ~ (v15 = 0) & lt(v13, v11) = v16 & lt(v11, v13) = v15 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (totalorderP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v14 = 0 & v12 = 0 & ~ (v16 = 0) & ~ (v15 = 0) & leq(v13, v11) = v16 & leq(v11, v13) = v15 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cyclefreeP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & v12 = 0 & leq(v13, v11) = 0 & leq(v11, v13) = 0 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (leq(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssItem(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (segmentP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (segmentP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (rearsegP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (rearsegP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (frontsegP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (frontsegP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v9 = nil | ~ (tl(v9) = v10) | ? [v11] : ? [v12] : (ssList(v10) = v12 & ssList(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : (v9 = nil | ~ (tl(v9) = v10) | ? [v11] : ? [v12] : ((v12 = 0 & v11 = v10 & ssList(v10) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v9 = nil | ~ (hd(v9) = v10) | ? [v11] : ? [v12] : (ssList(v9) = v11 & ssItem(v10) = v12 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : (v9 = nil | ~ (hd(v9) = v10) | ? [v11] : ? [v12] : ((v12 = 0 & v11 = v10 & ssItem(v10) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v9 = nil | ~ (ssList(v9) = 0) | ~ (app(v9, v10) = nil) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (gt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (gt(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : ( ~ (tl(v9) = v10) | ? [v11] : ? [v12] : (hd(v9) = v12 & ssList(v9) = v11 & ( ~ (v11 = 0) | ! [v13] : (v13 = v9 | v13 = nil | v9 = nil | ~ (tl(v13) = v10) | ? [v14] : ? [v15] : (hd(v13) = v15 & ssList(v13) = v14 & ( ~ (v15 = v12) | ~ (v14 = 0))))))) & ! [v9] : ! [v10] : ( ~ (lt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (lt(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : ( ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v9 & v15 = 0 & v12 = 0 & ssList(v14) = 0 & ssList(v11) = 0 & app(v13, v14) = v9 & app(v11, v10) = v13) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v9 & v12 = 0 & ssList(v11) = 0 & app(v11, v10) = v9) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v9 & v12 = 0 & ssList(v11) = 0 & app(v10, v11) = v9) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (memberP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v9 & v14 = 0 & v12 = 0 & ssList(v13) = 0 & ssList(v11) = 0 & cons(v10, v13) = v15 & app(v11, v15) = v9) | ( ~ (v11 = 0) & ssItem(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v9) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = nil) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (equalelemsP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (duplicatefreeP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (strictorderedP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (totalorderedP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (strictorderP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (totalorderP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (cyclefreeP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : (v9 = nil | ~ (segmentP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (rearsegP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (frontsegP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (ssList(v9) = 0) | ? [v10] : ? [v11] : (ssList(v10) = 0 & cons(v11, v10) = v9 & ssItem(v11) = 0)) & ! [v9] : (v9 = nil | ~ (app(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (segmentP(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (rearsegP(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (frontsegP(nil, nil) = v9)) & ! [v9] : ( ~ (lt(v9, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssItem(v9) = v10)) & ! [v9] : ( ~ (singletonP(v9) = 0) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v9 & v11 = 0 & cons(v10, nil) = v9 & ssItem(v10) = 0) | ( ~ (v10 = 0) & ssList(v9) = v10))) & ! [v9] : ( ~ (memberP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssItem(v9) = v10)) & ! [v9] : ( ~ (ssList(v9) = 0) | ~ (neq(v9, v9) = 0)) & ! [v9] : ( ~ (neq(v9, v9) = 0) | ~ (ssItem(v9) = 0)) & ((v6 = 0 & v5 = v1 & v4 = 0 & memberP(v2, v3) = 0 & cons(v3, nil) = v1 & ssItem(v3) = 0 & ! [v9] : (v9 = v3 | ~ (memberP(v2, v9) = 0) | ? [v10] : ? [v11] : (leq(v3, v9) = v11 & ssItem(v9) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) | (v2 = nil & v1 = nil)) & ((v2 = nil & ~ (v1 = nil)) | (v1 = nil & ~ (v2 = nil)))) % 24.02/7.06 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 yields: % 24.02/7.06 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_8_8 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_8_8 & ssList(all_0_6_6) = 0 & ssList(all_0_7_7) = 0 & ssList(nil) = 0 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & ((all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_6_6 = nil & all_0_7_7 = nil)) & ((all_0_6_6 = nil & ~ (all_0_7_7 = nil)) | (all_0_7_7 = nil & ~ (all_0_6_6 = nil))) % 24.05/7.09 | % 24.05/7.09 | Applying alpha-rule on (1) yields: % 24.05/7.09 | (2) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.05/7.09 | (3) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) % 24.05/7.09 | (4) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.05/7.09 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 24.05/7.09 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) % 24.05/7.09 | (7) ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) % 24.05/7.09 | (8) ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.05/7.09 | (9) ssItem(all_0_0_0) = 0 % 24.05/7.09 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) % 24.05/7.09 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 24.05/7.09 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) % 24.05/7.09 | (13) ssList(all_0_6_6) = 0 % 24.05/7.09 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) % 24.05/7.09 | (15) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.05/7.09 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) % 24.05/7.09 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) % 24.05/7.09 | (18) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.05/7.09 | (19) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 24.05/7.09 | (20) ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.05/7.09 | (21) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) % 24.05/7.09 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) % 24.05/7.10 | (23) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.05/7.10 | (24) ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.05/7.10 | (25) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.05/7.10 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) % 24.05/7.10 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 24.05/7.10 | (28) cyclefreeP(nil) = 0 % 24.05/7.10 | (29) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) % 24.05/7.10 | (30) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.05/7.10 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) % 24.05/7.10 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) % 24.05/7.10 | (33) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) % 24.05/7.10 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 24.05/7.10 | (35) ~ (all_0_0_0 = all_0_1_1) % 24.05/7.10 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) % 24.05/7.10 | (37) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.05/7.10 | (38) totalorderedP(nil) = 0 % 24.05/7.10 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 24.05/7.10 | (40) ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.05/7.10 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) % 24.05/7.10 | (42) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.05/7.10 | (43) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.05/7.10 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) % 24.05/7.10 | (45) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 24.05/7.10 | (46) strictorderedP(nil) = 0 % 24.05/7.10 | (47) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 24.05/7.10 | (48) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 24.05/7.10 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) % 24.05/7.10 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) % 24.05/7.10 | (51) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) % 24.05/7.10 | (52) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) % 24.05/7.10 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) % 24.05/7.10 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) % 24.05/7.10 | (55) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.05/7.10 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 24.05/7.10 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) % 24.24/7.10 | (58) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 24.24/7.10 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) % 24.24/7.10 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) % 24.24/7.10 | (61) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 24.24/7.11 | (62) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.24/7.11 | (63) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.24/7.11 | (64) strictorderP(nil) = 0 % 24.24/7.11 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) % 24.24/7.11 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) % 24.24/7.11 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) % 24.24/7.11 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) % 24.24/7.11 | (69) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.24/7.11 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) % 24.24/7.11 | (71) ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) % 24.24/7.11 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) % 24.24/7.11 | (73) equalelemsP(nil) = 0 % 24.24/7.11 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) % 24.24/7.11 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 24.24/7.11 | (76) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.24/7.11 | (77) ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.24/7.11 | (78) singletonP(nil) = all_0_8_8 % 24.24/7.11 | (79) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.24/7.11 | (80) totalorderP(nil) = 0 % 24.24/7.11 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) % 24.24/7.11 | (82) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) % 24.24/7.11 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) % 24.24/7.11 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 24.24/7.11 | (85) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.24/7.11 | (86) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 24.24/7.11 | (87) ~ (all_0_8_8 = 0) % 24.24/7.11 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) % 24.24/7.11 | (89) (all_0_6_6 = nil & ~ (all_0_7_7 = nil)) | (all_0_7_7 = nil & ~ (all_0_6_6 = nil)) % 24.24/7.11 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 24.24/7.11 | (91) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.24/7.11 | (92) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) % 24.24/7.11 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) % 24.24/7.11 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) % 24.24/7.11 | (95) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.24/7.11 | (96) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.24/7.12 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 24.24/7.12 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 24.24/7.12 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 24.24/7.12 | (100) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) % 24.24/7.12 | (101) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.24/7.12 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) % 24.24/7.12 | (103) ssList(nil) = 0 % 24.24/7.12 | (104) ssItem(all_0_1_1) = 0 % 24.24/7.12 | (105) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) % 24.24/7.12 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 24.24/7.12 | (107) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.24/7.12 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 24.24/7.12 | (109) (all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_6_6 = nil & all_0_7_7 = nil) % 24.24/7.12 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 24.24/7.12 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) % 24.24/7.12 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 24.24/7.12 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) % 24.24/7.12 | (114) ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.24/7.12 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) % 24.24/7.12 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 24.24/7.12 | (117) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 24.24/7.12 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 24.24/7.12 | (119) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) % 24.24/7.12 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) % 24.24/7.12 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) % 24.24/7.12 | (122) duplicatefreeP(nil) = 0 % 24.24/7.12 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) % 24.24/7.12 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) % 24.24/7.12 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) % 24.24/7.12 | (126) ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) % 24.24/7.12 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) % 24.24/7.12 | (128) ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) % 24.24/7.12 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) % 24.24/7.12 | (130) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 24.24/7.12 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) % 24.24/7.12 | (132) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) % 24.24/7.12 | (133) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 24.24/7.12 | (134) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 24.24/7.12 | (135) ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.24/7.12 | (136) ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) % 24.24/7.12 | (137) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.24/7.12 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) % 24.24/7.12 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) % 24.24/7.12 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) % 24.24/7.12 | (141) ssList(all_0_7_7) = 0 % 24.24/7.12 | (142) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 24.24/7.12 | (143) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.24/7.12 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) % 24.24/7.12 | (145) ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) % 24.24/7.12 | (146) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.24/7.12 | % 24.24/7.12 +-Applying beta-rule and splitting (109), into two cases. % 24.24/7.12 |-Branch one: % 24.24/7.12 | (147) all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 24.24/7.12 | % 24.24/7.12 | Applying alpha-rule on (147) yields: % 24.24/7.12 | (148) memberP(all_0_6_6, all_0_5_5) = 0 % 24.24/7.12 | (149) all_0_4_4 = 0 % 24.24/7.12 | (150) cons(all_0_5_5, nil) = all_0_7_7 % 24.24/7.12 | (151) all_0_2_2 = 0 % 24.24/7.12 | (152) all_0_3_3 = all_0_7_7 % 24.24/7.12 | (153) ssItem(all_0_5_5) = 0 % 24.24/7.12 | (154) ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 24.24/7.12 | % 24.24/7.12 | Instantiating formula (142) with all_0_5_5 yields: % 24.24/7.12 | (155) ~ (memberP(nil, all_0_5_5) = 0) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0) % 24.24/7.12 | % 24.24/7.12 | Instantiating formula (105) with all_0_7_7, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.12 | (156) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 24.24/7.12 | % 24.24/7.12 | Instantiating formula (17) with all_0_7_7, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.12 | (157) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = all_0_5_5)) % 24.24/7.12 | % 24.24/7.13 | Instantiating formula (105) with nil, all_0_5_5, nil and discharging atoms ssList(nil) = 0, yields: % 24.24/7.13 | (158) ~ (cons(all_0_5_5, nil) = nil) | ? [v0] : ? [v1] : (tl(nil) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (17) with nil, all_0_5_5, nil and discharging atoms ssList(nil) = 0, yields: % 24.24/7.13 | (159) ~ (cons(all_0_5_5, nil) = nil) | ? [v0] : ? [v1] : (hd(nil) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = all_0_5_5)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (123) with all_0_5_5, all_0_8_8, nil and discharging atoms singletonP(nil) = all_0_8_8, yields: % 24.24/7.13 | (160) all_0_8_8 = 0 | ~ (cons(all_0_5_5, nil) = nil) | ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (42) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.13 | (161) ? [v0] : ? [v1] : (equalelemsP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (85) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.13 | (162) ? [v0] : ? [v1] : (duplicatefreeP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (143) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.13 | (163) ? [v0] : ? [v1] : (strictorderedP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (137) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.13 | (164) ? [v0] : ? [v1] : (totalorderedP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (91) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.13 | (165) ? [v0] : ? [v1] : (strictorderP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (146) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.13 | (166) ? [v0] : ? [v1] : (totalorderP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (69) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields: % 24.24/7.13 | (167) ? [v0] : ? [v1] : (cyclefreeP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (48) with all_0_5_5, nil and discharging atoms ssList(nil) = 0, yields: % 24.24/7.13 | (168) ~ (cons(all_0_5_5, nil) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0) % 24.24/7.13 | % 24.24/7.13 | Instantiating (167) with all_16_0_9, all_16_1_10 yields: % 24.24/7.13 | (169) cyclefreeP(all_0_7_7) = all_16_0_9 & ssItem(all_0_5_5) = all_16_1_10 & ( ~ (all_16_1_10 = 0) | all_16_0_9 = 0) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (169) yields: % 24.24/7.13 | (170) cyclefreeP(all_0_7_7) = all_16_0_9 % 24.24/7.13 | (171) ssItem(all_0_5_5) = all_16_1_10 % 24.24/7.13 | (172) ~ (all_16_1_10 = 0) | all_16_0_9 = 0 % 24.24/7.13 | % 24.24/7.13 | Instantiating (165) with all_18_0_11, all_18_1_12 yields: % 24.24/7.13 | (173) strictorderP(all_0_7_7) = all_18_0_11 & ssItem(all_0_5_5) = all_18_1_12 & ( ~ (all_18_1_12 = 0) | all_18_0_11 = 0) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (173) yields: % 24.24/7.13 | (174) strictorderP(all_0_7_7) = all_18_0_11 % 24.24/7.13 | (175) ssItem(all_0_5_5) = all_18_1_12 % 24.24/7.13 | (176) ~ (all_18_1_12 = 0) | all_18_0_11 = 0 % 24.24/7.13 | % 24.24/7.13 | Instantiating (163) with all_20_0_13, all_20_1_14 yields: % 24.24/7.13 | (177) strictorderedP(all_0_7_7) = all_20_0_13 & ssItem(all_0_5_5) = all_20_1_14 & ( ~ (all_20_1_14 = 0) | all_20_0_13 = 0) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (177) yields: % 24.24/7.13 | (178) strictorderedP(all_0_7_7) = all_20_0_13 % 24.24/7.13 | (179) ssItem(all_0_5_5) = all_20_1_14 % 24.24/7.13 | (180) ~ (all_20_1_14 = 0) | all_20_0_13 = 0 % 24.24/7.13 | % 24.24/7.13 | Instantiating (161) with all_22_0_15, all_22_1_16 yields: % 24.24/7.13 | (181) equalelemsP(all_0_7_7) = all_22_0_15 & ssItem(all_0_5_5) = all_22_1_16 & ( ~ (all_22_1_16 = 0) | all_22_0_15 = 0) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (181) yields: % 24.24/7.13 | (182) equalelemsP(all_0_7_7) = all_22_0_15 % 24.24/7.13 | (183) ssItem(all_0_5_5) = all_22_1_16 % 24.24/7.13 | (184) ~ (all_22_1_16 = 0) | all_22_0_15 = 0 % 24.24/7.13 | % 24.24/7.13 | Instantiating (162) with all_25_0_23, all_25_1_24 yields: % 24.24/7.13 | (185) duplicatefreeP(all_0_7_7) = all_25_0_23 & ssItem(all_0_5_5) = all_25_1_24 & ( ~ (all_25_1_24 = 0) | all_25_0_23 = 0) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (185) yields: % 24.24/7.13 | (186) duplicatefreeP(all_0_7_7) = all_25_0_23 % 24.24/7.13 | (187) ssItem(all_0_5_5) = all_25_1_24 % 24.24/7.13 | (188) ~ (all_25_1_24 = 0) | all_25_0_23 = 0 % 24.24/7.13 | % 24.24/7.13 | Instantiating (164) with all_27_0_25, all_27_1_26 yields: % 24.24/7.13 | (189) totalorderedP(all_0_7_7) = all_27_0_25 & ssItem(all_0_5_5) = all_27_1_26 & ( ~ (all_27_1_26 = 0) | all_27_0_25 = 0) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (189) yields: % 24.24/7.13 | (190) totalorderedP(all_0_7_7) = all_27_0_25 % 24.24/7.13 | (191) ssItem(all_0_5_5) = all_27_1_26 % 24.24/7.13 | (192) ~ (all_27_1_26 = 0) | all_27_0_25 = 0 % 24.24/7.13 | % 24.24/7.13 | Instantiating (157) with all_29_0_27, all_29_1_28 yields: % 24.24/7.13 | (193) hd(all_0_7_7) = all_29_0_27 & ssItem(all_0_5_5) = all_29_1_28 & ( ~ (all_29_1_28 = 0) | all_29_0_27 = all_0_5_5) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (193) yields: % 24.24/7.13 | (194) hd(all_0_7_7) = all_29_0_27 % 24.24/7.13 | (195) ssItem(all_0_5_5) = all_29_1_28 % 24.24/7.13 | (196) ~ (all_29_1_28 = 0) | all_29_0_27 = all_0_5_5 % 24.24/7.13 | % 24.24/7.13 | Instantiating (166) with all_31_0_29, all_31_1_30 yields: % 24.24/7.13 | (197) totalorderP(all_0_7_7) = all_31_0_29 & ssItem(all_0_5_5) = all_31_1_30 & ( ~ (all_31_1_30 = 0) | all_31_0_29 = 0) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (197) yields: % 24.24/7.13 | (198) totalorderP(all_0_7_7) = all_31_0_29 % 24.24/7.13 | (199) ssItem(all_0_5_5) = all_31_1_30 % 24.24/7.13 | (200) ~ (all_31_1_30 = 0) | all_31_0_29 = 0 % 24.24/7.13 | % 24.24/7.13 | Instantiating (156) with all_33_0_31, all_33_1_32 yields: % 24.24/7.13 | (201) tl(all_0_7_7) = all_33_0_31 & ssItem(all_0_5_5) = all_33_1_32 & ( ~ (all_33_1_32 = 0) | all_33_0_31 = nil) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (201) yields: % 24.24/7.13 | (202) tl(all_0_7_7) = all_33_0_31 % 24.24/7.13 | (203) ssItem(all_0_5_5) = all_33_1_32 % 24.24/7.13 | (204) ~ (all_33_1_32 = 0) | all_33_0_31 = nil % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_31_1_30, 0 and discharging atoms ssItem(all_0_5_5) = all_31_1_30, ssItem(all_0_5_5) = 0, yields: % 24.24/7.13 | (205) all_31_1_30 = 0 % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_29_1_28, all_31_1_30 and discharging atoms ssItem(all_0_5_5) = all_31_1_30, ssItem(all_0_5_5) = all_29_1_28, yields: % 24.24/7.13 | (206) all_31_1_30 = all_29_1_28 % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_27_1_26, all_33_1_32 and discharging atoms ssItem(all_0_5_5) = all_33_1_32, ssItem(all_0_5_5) = all_27_1_26, yields: % 24.24/7.13 | (207) all_33_1_32 = all_27_1_26 % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_27_1_26, all_29_1_28 and discharging atoms ssItem(all_0_5_5) = all_29_1_28, ssItem(all_0_5_5) = all_27_1_26, yields: % 24.24/7.13 | (208) all_29_1_28 = all_27_1_26 % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_25_1_24, all_33_1_32 and discharging atoms ssItem(all_0_5_5) = all_33_1_32, ssItem(all_0_5_5) = all_25_1_24, yields: % 24.24/7.13 | (209) all_33_1_32 = all_25_1_24 % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_22_1_16, all_25_1_24 and discharging atoms ssItem(all_0_5_5) = all_25_1_24, ssItem(all_0_5_5) = all_22_1_16, yields: % 24.24/7.13 | (210) all_25_1_24 = all_22_1_16 % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_20_1_14, all_33_1_32 and discharging atoms ssItem(all_0_5_5) = all_33_1_32, ssItem(all_0_5_5) = all_20_1_14, yields: % 24.24/7.13 | (211) all_33_1_32 = all_20_1_14 % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_18_1_12, all_25_1_24 and discharging atoms ssItem(all_0_5_5) = all_25_1_24, ssItem(all_0_5_5) = all_18_1_12, yields: % 24.24/7.13 | (212) all_25_1_24 = all_18_1_12 % 24.24/7.13 | % 24.24/7.13 | Instantiating formula (84) with all_0_5_5, all_16_1_10, all_25_1_24 and discharging atoms ssItem(all_0_5_5) = all_25_1_24, ssItem(all_0_5_5) = all_16_1_10, yields: % 24.24/7.13 | (213) all_25_1_24 = all_16_1_10 % 24.24/7.13 | % 24.24/7.13 | Combining equations (209,211) yields a new equation: % 24.24/7.13 | (214) all_25_1_24 = all_20_1_14 % 24.24/7.13 | % 24.24/7.13 | Simplifying 214 yields: % 24.24/7.13 | (215) all_25_1_24 = all_20_1_14 % 24.24/7.13 | % 24.24/7.13 | Combining equations (207,211) yields a new equation: % 24.24/7.13 | (216) all_27_1_26 = all_20_1_14 % 24.24/7.13 | % 24.24/7.13 | Simplifying 216 yields: % 24.24/7.13 | (217) all_27_1_26 = all_20_1_14 % 24.24/7.13 | % 24.24/7.13 | Combining equations (206,205) yields a new equation: % 24.24/7.13 | (218) all_29_1_28 = 0 % 24.24/7.13 | % 24.24/7.13 | Simplifying 218 yields: % 24.24/7.13 | (219) all_29_1_28 = 0 % 24.24/7.13 | % 24.24/7.13 | Combining equations (208,219) yields a new equation: % 24.24/7.13 | (220) all_27_1_26 = 0 % 24.24/7.13 | % 24.24/7.13 | Simplifying 220 yields: % 24.24/7.13 | (221) all_27_1_26 = 0 % 24.24/7.13 | % 24.24/7.13 | Combining equations (217,221) yields a new equation: % 24.24/7.13 | (222) all_20_1_14 = 0 % 24.24/7.13 | % 24.24/7.13 | Simplifying 222 yields: % 24.24/7.13 | (223) all_20_1_14 = 0 % 24.24/7.13 | % 24.24/7.13 | Combining equations (212,210) yields a new equation: % 24.24/7.13 | (224) all_22_1_16 = all_18_1_12 % 24.24/7.13 | % 24.24/7.13 | Combining equations (213,210) yields a new equation: % 24.24/7.13 | (225) all_22_1_16 = all_16_1_10 % 24.24/7.13 | % 24.24/7.13 | Combining equations (215,210) yields a new equation: % 24.24/7.13 | (226) all_22_1_16 = all_20_1_14 % 24.24/7.13 | % 24.24/7.13 | Combining equations (225,224) yields a new equation: % 24.24/7.13 | (227) all_18_1_12 = all_16_1_10 % 24.24/7.13 | % 24.24/7.13 | Combining equations (226,224) yields a new equation: % 24.24/7.13 | (228) all_20_1_14 = all_18_1_12 % 24.24/7.13 | % 24.24/7.13 | Simplifying 228 yields: % 24.24/7.13 | (229) all_20_1_14 = all_18_1_12 % 24.24/7.13 | % 24.24/7.13 | Combining equations (229,223) yields a new equation: % 24.24/7.13 | (230) all_18_1_12 = 0 % 24.24/7.13 | % 24.24/7.13 | Simplifying 230 yields: % 24.24/7.13 | (231) all_18_1_12 = 0 % 24.24/7.13 | % 24.24/7.13 | Combining equations (227,231) yields a new equation: % 24.24/7.13 | (232) all_16_1_10 = 0 % 24.24/7.13 | % 24.24/7.13 | Simplifying 232 yields: % 24.24/7.13 | (233) all_16_1_10 = 0 % 24.24/7.13 | % 24.24/7.13 | From (233) and (171) follows: % 24.24/7.13 | (153) ssItem(all_0_5_5) = 0 % 24.24/7.13 | % 24.24/7.13 +-Applying beta-rule and splitting (160), into two cases. % 24.24/7.13 |-Branch one: % 24.24/7.13 | (235) ~ (cons(all_0_5_5, nil) = nil) % 24.24/7.13 | % 24.24/7.13 +-Applying beta-rule and splitting (155), into two cases. % 24.24/7.13 |-Branch one: % 24.24/7.13 | (236) ~ (memberP(nil, all_0_5_5) = 0) % 24.24/7.13 | % 24.24/7.13 | Using (148) and (236) yields: % 24.24/7.13 | (237) ~ (all_0_6_6 = nil) % 24.24/7.13 | % 24.24/7.13 | Using (150) and (235) yields: % 24.24/7.13 | (238) ~ (all_0_7_7 = nil) % 24.24/7.13 | % 24.24/7.13 +-Applying beta-rule and splitting (89), into two cases. % 24.24/7.13 |-Branch one: % 24.24/7.13 | (239) all_0_6_6 = nil & ~ (all_0_7_7 = nil) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (239) yields: % 24.24/7.13 | (240) all_0_6_6 = nil % 24.24/7.13 | (238) ~ (all_0_7_7 = nil) % 24.24/7.13 | % 24.24/7.13 | Equations (240) can reduce 237 to: % 24.24/7.13 | (242) $false % 24.24/7.13 | % 24.24/7.13 |-The branch is then unsatisfiable % 24.24/7.13 |-Branch two: % 24.24/7.13 | (243) all_0_7_7 = nil & ~ (all_0_6_6 = nil) % 24.24/7.13 | % 24.24/7.13 | Applying alpha-rule on (243) yields: % 24.24/7.13 | (244) all_0_7_7 = nil % 24.24/7.13 | (237) ~ (all_0_6_6 = nil) % 24.24/7.13 | % 24.24/7.13 | Equations (244) can reduce 238 to: % 24.24/7.13 | (242) $false % 24.24/7.13 | % 24.24/7.13 |-The branch is then unsatisfiable % 24.24/7.13 |-Branch two: % 24.24/7.13 | (247) memberP(nil, all_0_5_5) = 0 % 24.24/7.13 | (248) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0) % 24.24/7.13 | % 24.24/7.13 | Instantiating (248) with all_55_0_33 yields: % 24.24/7.13 | (249) ~ (all_55_0_33 = 0) & ssItem(all_0_5_5) = all_55_0_33 % 24.24/7.13 | % 24.24/7.14 | Applying alpha-rule on (249) yields: % 24.24/7.14 | (250) ~ (all_55_0_33 = 0) % 24.24/7.14 | (251) ssItem(all_0_5_5) = all_55_0_33 % 24.24/7.14 | % 24.24/7.14 | Instantiating formula (84) with all_0_5_5, all_55_0_33, 0 and discharging atoms ssItem(all_0_5_5) = all_55_0_33, ssItem(all_0_5_5) = 0, yields: % 24.24/7.14 | (252) all_55_0_33 = 0 % 24.24/7.14 | % 24.24/7.14 | Equations (252) can reduce 250 to: % 24.24/7.14 | (242) $false % 24.24/7.14 | % 24.24/7.14 |-The branch is then unsatisfiable % 24.39/7.14 |-Branch two: % 24.39/7.14 | (254) cons(all_0_5_5, nil) = nil % 24.39/7.14 | (255) all_0_8_8 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0)) % 24.39/7.14 | % 24.39/7.14 +-Applying beta-rule and splitting (158), into two cases. % 24.39/7.14 |-Branch one: % 24.39/7.14 | (235) ~ (cons(all_0_5_5, nil) = nil) % 24.39/7.14 | % 24.39/7.14 | Using (254) and (235) yields: % 24.39/7.14 | (257) $false % 24.39/7.14 | % 24.39/7.14 |-The branch is then unsatisfiable % 24.39/7.14 |-Branch two: % 24.39/7.14 | (254) cons(all_0_5_5, nil) = nil % 24.39/7.14 | (259) ? [v0] : ? [v1] : (tl(nil) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 24.39/7.14 | % 24.39/7.14 | Instantiating (259) with all_51_0_40, all_51_1_41 yields: % 24.39/7.14 | (260) tl(nil) = all_51_0_40 & ssItem(all_0_5_5) = all_51_1_41 & ( ~ (all_51_1_41 = 0) | all_51_0_40 = nil) % 24.39/7.14 | % 24.39/7.14 | Applying alpha-rule on (260) yields: % 24.39/7.14 | (261) tl(nil) = all_51_0_40 % 24.39/7.14 | (262) ssItem(all_0_5_5) = all_51_1_41 % 24.39/7.14 | (263) ~ (all_51_1_41 = 0) | all_51_0_40 = nil % 24.39/7.14 | % 24.39/7.14 +-Applying beta-rule and splitting (255), into two cases. % 24.39/7.14 |-Branch one: % 24.39/7.14 | (264) all_0_8_8 = 0 % 24.39/7.14 | % 24.39/7.14 | Equations (264) can reduce 87 to: % 24.39/7.14 | (242) $false % 24.39/7.14 | % 24.39/7.14 |-The branch is then unsatisfiable % 24.39/7.14 |-Branch two: % 24.39/7.14 | (87) ~ (all_0_8_8 = 0) % 24.39/7.14 | (267) ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0)) % 24.39/7.14 | % 24.39/7.14 | Instantiating (267) with all_57_0_42 yields: % 24.39/7.14 | (268) ( ~ (all_57_0_42 = 0) & ssList(nil) = all_57_0_42) | ( ~ (all_57_0_42 = 0) & ssItem(all_0_5_5) = all_57_0_42) % 24.39/7.14 | % 24.39/7.14 +-Applying beta-rule and splitting (268), into two cases. % 24.39/7.14 |-Branch one: % 24.39/7.14 | (269) ~ (all_57_0_42 = 0) & ssList(nil) = all_57_0_42 % 24.39/7.14 | % 24.39/7.14 | Applying alpha-rule on (269) yields: % 24.39/7.14 | (270) ~ (all_57_0_42 = 0) % 24.39/7.14 | (271) ssList(nil) = all_57_0_42 % 24.39/7.14 | % 24.39/7.14 | Instantiating formula (112) with nil, all_57_0_42, 0 and discharging atoms ssList(nil) = all_57_0_42, ssList(nil) = 0, yields: % 24.39/7.14 | (272) all_57_0_42 = 0 % 24.39/7.14 | % 24.39/7.14 | Equations (272) can reduce 270 to: % 24.39/7.14 | (242) $false % 24.39/7.14 | % 24.39/7.14 |-The branch is then unsatisfiable % 24.39/7.14 |-Branch two: % 24.39/7.14 | (274) ~ (all_57_0_42 = 0) & ssItem(all_0_5_5) = all_57_0_42 % 24.39/7.14 | % 24.39/7.14 | Applying alpha-rule on (274) yields: % 24.39/7.14 | (270) ~ (all_57_0_42 = 0) % 24.39/7.14 | (276) ssItem(all_0_5_5) = all_57_0_42 % 24.39/7.14 | % 24.39/7.14 +-Applying beta-rule and splitting (159), into two cases. % 24.39/7.14 |-Branch one: % 24.39/7.14 | (235) ~ (cons(all_0_5_5, nil) = nil) % 24.39/7.14 | % 24.39/7.14 | Using (254) and (235) yields: % 24.39/7.14 | (257) $false % 24.39/7.14 | % 24.39/7.14 |-The branch is then unsatisfiable % 24.39/7.14 |-Branch two: % 24.39/7.14 | (254) cons(all_0_5_5, nil) = nil % 24.39/7.14 | (280) ? [v0] : ? [v1] : (hd(nil) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = all_0_5_5)) % 24.39/7.14 | % 24.39/7.14 | Instantiating (280) with all_73_0_46, all_73_1_47 yields: % 24.39/7.14 | (281) hd(nil) = all_73_0_46 & ssItem(all_0_5_5) = all_73_1_47 & ( ~ (all_73_1_47 = 0) | all_73_0_46 = all_0_5_5) % 24.39/7.14 | % 24.39/7.14 | Applying alpha-rule on (281) yields: % 24.39/7.14 | (282) hd(nil) = all_73_0_46 % 24.39/7.14 | (283) ssItem(all_0_5_5) = all_73_1_47 % 24.39/7.14 | (284) ~ (all_73_1_47 = 0) | all_73_0_46 = all_0_5_5 % 24.39/7.14 | % 24.39/7.14 +-Applying beta-rule and splitting (168), into two cases. % 24.39/7.14 |-Branch one: % 24.39/7.14 | (235) ~ (cons(all_0_5_5, nil) = nil) % 24.39/7.14 | % 24.39/7.14 | Using (254) and (235) yields: % 24.39/7.14 | (257) $false % 24.39/7.14 | % 24.39/7.14 |-The branch is then unsatisfiable % 24.39/7.14 |-Branch two: % 24.39/7.14 | (254) cons(all_0_5_5, nil) = nil % 24.39/7.14 | (248) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0) % 24.39/7.14 | % 24.39/7.14 | Instantiating (248) with all_79_0_48 yields: % 24.39/7.14 | (289) ~ (all_79_0_48 = 0) & ssItem(all_0_5_5) = all_79_0_48 % 24.39/7.14 | % 24.39/7.14 | Applying alpha-rule on (289) yields: % 24.39/7.14 | (290) ~ (all_79_0_48 = 0) % 24.39/7.14 | (291) ssItem(all_0_5_5) = all_79_0_48 % 24.39/7.14 | % 24.39/7.14 | Instantiating formula (84) with all_0_5_5, all_79_0_48, 0 and discharging atoms ssItem(all_0_5_5) = all_79_0_48, ssItem(all_0_5_5) = 0, yields: % 24.39/7.14 | (292) all_79_0_48 = 0 % 24.39/7.14 | % 24.39/7.14 | Instantiating formula (84) with all_0_5_5, all_73_1_47, all_79_0_48 and discharging atoms ssItem(all_0_5_5) = all_79_0_48, ssItem(all_0_5_5) = all_73_1_47, yields: % 24.39/7.14 | (293) all_79_0_48 = all_73_1_47 % 24.39/7.14 | % 24.39/7.14 | Instantiating formula (84) with all_0_5_5, all_57_0_42, all_79_0_48 and discharging atoms ssItem(all_0_5_5) = all_79_0_48, ssItem(all_0_5_5) = all_57_0_42, yields: % 24.39/7.14 | (294) all_79_0_48 = all_57_0_42 % 24.39/7.14 | % 24.39/7.14 | Instantiating formula (84) with all_0_5_5, all_51_1_41, all_73_1_47 and discharging atoms ssItem(all_0_5_5) = all_73_1_47, ssItem(all_0_5_5) = all_51_1_41, yields: % 24.39/7.14 | (295) all_73_1_47 = all_51_1_41 % 24.39/7.14 | % 24.39/7.14 | Combining equations (293,294) yields a new equation: % 24.39/7.14 | (296) all_73_1_47 = all_57_0_42 % 24.39/7.14 | % 24.39/7.14 | Simplifying 296 yields: % 24.39/7.14 | (297) all_73_1_47 = all_57_0_42 % 24.39/7.14 | % 24.39/7.14 | Combining equations (292,294) yields a new equation: % 24.39/7.14 | (272) all_57_0_42 = 0 % 24.39/7.14 | % 24.39/7.14 | Combining equations (297,295) yields a new equation: % 24.39/7.14 | (299) all_57_0_42 = all_51_1_41 % 24.39/7.14 | % 24.39/7.14 | Simplifying 299 yields: % 24.39/7.14 | (300) all_57_0_42 = all_51_1_41 % 24.39/7.14 | % 24.39/7.14 | Combining equations (272,300) yields a new equation: % 24.39/7.14 | (301) all_51_1_41 = 0 % 24.39/7.14 | % 24.39/7.14 | Combining equations (301,300) yields a new equation: % 24.39/7.14 | (272) all_57_0_42 = 0 % 24.39/7.14 | % 24.39/7.14 | Equations (272) can reduce 270 to: % 24.39/7.14 | (242) $false % 24.39/7.14 | % 24.39/7.14 |-The branch is then unsatisfiable % 24.39/7.14 |-Branch two: % 24.39/7.14 | (304) all_0_6_6 = nil & all_0_7_7 = nil % 24.39/7.14 | % 24.39/7.14 | Applying alpha-rule on (304) yields: % 24.39/7.14 | (240) all_0_6_6 = nil % 24.39/7.14 | (244) all_0_7_7 = nil % 24.39/7.14 | % 24.39/7.14 +-Applying beta-rule and splitting (89), into two cases. % 24.39/7.14 |-Branch one: % 24.39/7.14 | (239) all_0_6_6 = nil & ~ (all_0_7_7 = nil) % 24.39/7.14 | % 24.39/7.14 | Applying alpha-rule on (239) yields: % 24.39/7.14 | (240) all_0_6_6 = nil % 24.39/7.14 | (238) ~ (all_0_7_7 = nil) % 24.39/7.14 | % 24.39/7.14 | Equations (244) can reduce 238 to: % 24.39/7.14 | (242) $false % 24.39/7.14 | % 24.39/7.14 |-The branch is then unsatisfiable % 24.39/7.14 |-Branch two: % 24.39/7.14 | (243) all_0_7_7 = nil & ~ (all_0_6_6 = nil) % 24.39/7.14 | % 24.39/7.14 | Applying alpha-rule on (243) yields: % 24.39/7.14 | (244) all_0_7_7 = nil % 24.39/7.14 | (237) ~ (all_0_6_6 = nil) % 24.39/7.14 | % 24.39/7.14 | Equations (240) can reduce 237 to: % 24.39/7.14 | (242) $false % 24.39/7.14 | % 24.39/7.14 |-The branch is then unsatisfiable % 24.39/7.14 % SZS output end Proof for theBenchmark % 24.39/7.14 % 24.39/7.14 6504ms %------------------------------------------------------------------------------