%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWC292+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 20:17:18 EDT 2022 % Result : Theorem 19.86s 6.63s % Output : Proof 24.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWC292+1 : TPTP v8.1.0. Released v2.4.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n028.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 14:43:51 EDT 2022 % 0.12/0.33 % CPUTime : % 0.58/0.59 ____ _ % 0.58/0.59 ___ / __ \_____(_)___ ________ __________ % 0.58/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.58/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.58/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.58/0.59 % 0.58/0.59 A Theorem Prover for First-Order Logic % 0.58/0.59 (ePrincess v.1.0) % 0.58/0.59 % 0.58/0.59 (c) Philipp Rümmer, 2009-2015 % 0.58/0.59 (c) Peter Backeman, 2014-2015 % 0.58/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.62/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.62/0.59 Bug reports to peter@backeman.se % 0.62/0.59 % 0.62/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.62/0.59 % 0.62/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.70/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.37/1.12 Prover 0: Preprocessing ... % 4.60/1.70 Prover 0: Constructing countermodel ... % 16.95/5.96 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 17.67/6.13 Prover 1: Preprocessing ... % 18.98/6.41 Prover 1: Constructing countermodel ... % 19.86/6.63 Prover 1: proved (673ms) % 19.86/6.63 Prover 0: stopped % 19.86/6.63 % 19.86/6.63 No countermodel exists, formula is valid % 19.86/6.63 % SZS status Theorem for theBenchmark % 19.86/6.63 % 19.86/6.63 Generating proof ... found it (size 66) % 23.83/7.54 % 23.83/7.54 % SZS output start Proof for theBenchmark % 23.83/7.54 Assumed formulas after preprocessing and simplification: % 23.83/7.54 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = v9) & ~ (v2 = 0) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(v1) = v2 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v3) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & neq(v3, nil) = v4 & ssItem(v10) = 0 & ssItem(v9) = 0 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | ~ (strictorderedP(v11) = 0) | ~ (lt(v12, v13) = v14) | ~ (ssList(v15) = 0) | ~ (cons(v13, v19) = v20) | ~ (cons(v12, v16) = v17) | ~ (app(v18, v20) = v11) | ~ (app(v15, v17) = v18) | ~ (ssItem(v12) = 0) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21) | ( ~ (v21 = 0) & ssList(v11) = v21) | ( ~ (v21 = 0) & ssItem(v13) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | ~ (totalorderedP(v11) = 0) | ~ (leq(v12, v13) = v14) | ~ (ssList(v15) = 0) | ~ (cons(v13, v19) = v20) | ~ (cons(v12, v16) = v17) | ~ (app(v18, v20) = v11) | ~ (app(v15, v17) = v18) | ~ (ssItem(v12) = 0) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21) | ( ~ (v21 = 0) & ssList(v11) = v21) | ( ~ (v21 = 0) & ssItem(v13) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (duplicatefreeP(v11) = 0) | ~ (ssList(v13) = 0) | ~ (cons(v12, v17) = v18) | ~ (cons(v12, v14) = v15) | ~ (app(v16, v18) = v11) | ~ (app(v13, v15) = v16) | ~ (ssItem(v12) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v11) = v19))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v16, v12) = v17) | ~ (segmentP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ~ (app(v14, v15) = v16) | ~ (app(v13, v11) = v14) | ? [v18] : (( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v13) = v18) | ( ~ (v18 = 0) & ssList(v12) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v13 = v12 | ~ (equalelemsP(v11) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v13, v15) = v16) | ~ (cons(v12, v16) = v17) | ~ (app(v14, v17) = v11) | ~ (ssItem(v13) = 0) | ~ (ssItem(v12) = 0) | ? [v18] : (( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v11) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (frontsegP(v14, v16) = v17) | ~ (cons(v12, v15) = v16) | ~ (cons(v11, v13) = v14) | ~ (ssItem(v12) = 0) | ~ (ssItem(v11) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v13) = v18) | (frontsegP(v13, v15) = v19 & ssList(v15) = v18 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v12 = v11) | v17 = 0) & ( ~ (v17 = 0) | (v19 = 0 & v12 = v11))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = 0 | ~ (segmentP(v11, v12) = v13) | ~ (ssList(v11) = 0) | ~ (app(v15, v16) = v11) | ~ (app(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v16) = v17) | ( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = 0 | ~ (memberP(v11, v12) = v13) | ~ (ssList(v14) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v12, v15) = v16) | ~ (app(v14, v16) = v11) | ? [v17] : (( ~ (v17 = 0) & ssList(v15) = v17) | ( ~ (v17 = 0) & ssItem(v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (memberP(v15, v11) = v16) | ~ (memberP(v12, v11) = v13) | ~ (app(v12, v14) = v15) | ~ (ssItem(v11) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v12) = v17) | (memberP(v14, v11) = v18 & ssList(v14) = v17 & ( ~ (v17 = 0) | (( ~ (v16 = 0) | v18 = 0 | v13 = 0) & (v16 = 0 | ( ~ (v18 = 0) & ~ (v13 = 0)))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v11) = 0) | ~ (cons(v14, v12) = v15) | ~ (app(v15, v11) = v16) | ~ (app(v12, v11) = v13) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v12) = v17) | (cons(v14, v13) = v18 & ssItem(v14) = v17 & ( ~ (v17 = 0) | v18 = v16)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (ssList(v12) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v15, v12) = v14) | ~ (cons(v13, v11) = v14) | ? [v16] : (( ~ (v16 = 0) & ssItem(v15) = v16) | ( ~ (v16 = 0) & ssItem(v13) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v14, v12) = v15) | ~ (rearsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ~ (app(v13, v11) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v12) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v14, v12) = v15) | ~ (frontsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ~ (app(v11, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v12) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (ssList(v12) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v15, v12) = v14) | ~ (cons(v13, v11) = v14) | ? [v16] : (( ~ (v16 = 0) & ssItem(v15) = v16) | ( ~ (v16 = 0) & ssItem(v13) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (memberP(v14, v11) = v15) | ~ (cons(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ~ (ssItem(v11) = 0) | ? [v16] : ? [v17] : (memberP(v13, v11) = v17 & ssList(v13) = v16 & ( ~ (v16 = 0) | (( ~ (v15 = 0) | v17 = 0 | v12 = v11) & (v15 = 0 | ( ~ (v17 = 0) & ~ (v12 = v11))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v11) = 0) | ~ (app(v13, v14) = v15) | ~ (app(v11, v12) = v13) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & ssList(v12) = v16) | (ssList(v14) = v16 & app(v12, v14) = v17 & app(v11, v17) = v18 & ( ~ (v16 = 0) | v18 = v15)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v11 | v11 = nil | ~ (tl(v11) = v13) | ~ (hd(v11) = v12) | ~ (cons(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v11 | ~ (ssList(v11) = 0) | ~ (app(v14, v12) = v13) | ~ (app(v11, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v11 | ~ (ssList(v11) = 0) | ~ (app(v12, v14) = v13) | ~ (app(v12, v11) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (gt(v11, v13) = v14) | ~ (gt(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (gt(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (geq(v11, v13) = v14) | ~ (geq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (geq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (lt(v11, v13) = v14) | ~ (lt(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (lt(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (lt(v11, v13) = v14) | ~ (leq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (lt(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (leq(v11, v13) = v14) | ~ (leq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (leq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (segmentP(v11, v13) = v14) | ~ (segmentP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v12) = v15) | (segmentP(v12, v13) = v16 & ssList(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (rearsegP(v11, v13) = v14) | ~ (rearsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v12) = v15) | (rearsegP(v12, v13) = v16 & ssList(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (frontsegP(v11, v13) = v14) | ~ (frontsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v12) = v15) | (frontsegP(v12, v13) = v16 & ssList(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (rearsegP(v11, v12) = v13) | ~ (ssList(v11) = 0) | ~ (app(v14, v12) = v11) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (frontsegP(v11, v12) = v13) | ~ (ssList(v11) = 0) | ~ (app(v12, v14) = v11) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (gt(v14, v13) = v12) | ~ (gt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (geq(v14, v13) = v12) | ~ (geq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (lt(v14, v13) = v12) | ~ (lt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (leq(v14, v13) = v12) | ~ (leq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (segmentP(v14, v13) = v12) | ~ (segmentP(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (rearsegP(v14, v13) = v12) | ~ (rearsegP(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (frontsegP(v14, v13) = v12) | ~ (frontsegP(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (memberP(v14, v13) = v12) | ~ (memberP(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (cons(v14, v13) = v12) | ~ (cons(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (app(v14, v13) = v12) | ~ (app(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (neq(v14, v13) = v12) | ~ (neq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = nil | ~ (tl(v11) = v12) | ~ (app(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & ssList(v11) = v15) | (tl(v16) = v17 & ssList(v13) = v15 & app(v11, v13) = v16 & ( ~ (v15 = 0) | v17 = v14)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = nil | ~ (hd(v11) = v12) | ~ (app(v11, v13) = v14) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v11) = v15) | (hd(v14) = v16 & ssList(v13) = v15 & ( ~ (v15 = 0) | v16 = v12)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (hd(v12) = v13) | ~ (lt(v11, v13) = v14) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (strictorderedP(v16) = v17 & strictorderedP(v12) = v18 & ssList(v12) = v15 & cons(v11, v12) = v16 & ( ~ (v15 = 0) | (( ~ (v17 = 0) | v12 = nil | (v18 = 0 & v14 = 0)) & (v17 = 0 | ( ~ (v12 = nil) & ( ~ (v18 = 0) | ~ (v14 = 0)))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (hd(v12) = v13) | ~ (leq(v11, v13) = v14) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (totalorderedP(v16) = v17 & totalorderedP(v12) = v18 & ssList(v12) = v15 & cons(v11, v12) = v16 & ( ~ (v15 = 0) | (( ~ (v17 = 0) | v12 = nil | (v18 = 0 & v14 = 0)) & (v17 = 0 | ( ~ (v12 = nil) & ( ~ (v18 = 0) | ~ (v14 = 0)))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (strictorderP(v11) = 0) | ~ (lt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v11) = v15) | (lt(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v16 = 0 | v14 = 0 | ~ (ssList(v17) = 0) | ~ (cons(v13, v21) = v22) | ~ (cons(v12, v18) = v19) | ~ (app(v20, v22) = v11) | ~ (app(v17, v19) = v20) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (totalorderP(v11) = 0) | ~ (leq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v11) = v15) | (leq(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v16 = 0 | v14 = 0 | ~ (ssList(v17) = 0) | ~ (cons(v13, v21) = v22) | ~ (cons(v12, v18) = v19) | ~ (app(v20, v22) = v11) | ~ (app(v17, v19) = v20) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (cyclefreeP(v11) = 0) | ~ (leq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v11) = v15) | (leq(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (v16 = 0) | ~ (v14 = 0) | ~ (ssList(v17) = 0) | ~ (cons(v13, v21) = v22) | ~ (cons(v12, v18) = v19) | ~ (app(v20, v22) = v11) | ~ (app(v17, v19) = v20) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, nil) = v13) | ~ (app(v13, v11) = v14) | ? [v15] : ? [v16] : (cons(v12, v11) = v16 & ssItem(v12) = v15 & ( ~ (v15 = 0) | v16 = v14))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (lt(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (leq(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (ssList(v11) = 0) | ~ (neq(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (neq(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ( ~ (v14 = 0) & ssItem(v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (tl(v13) = v12) | ~ (tl(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (hd(v13) = v12) | ~ (hd(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (equalelemsP(v13) = v12) | ~ (equalelemsP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (duplicatefreeP(v13) = v12) | ~ (duplicatefreeP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (strictorderedP(v13) = v12) | ~ (strictorderedP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (totalorderedP(v13) = v12) | ~ (totalorderedP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (strictorderP(v13) = v12) | ~ (strictorderP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (totalorderP(v13) = v12) | ~ (totalorderP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (cyclefreeP(v13) = v12) | ~ (cyclefreeP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (singletonP(v13) = v12) | ~ (singletonP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (ssList(v13) = v12) | ~ (ssList(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (ssItem(v13) = v12) | ~ (ssItem(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (singletonP(v11) = v12) | ~ (cons(v13, nil) = v11) | ? [v14] : (( ~ (v14 = 0) & ssList(v11) = v14) | ( ~ (v14 = 0) & ssItem(v13) = v14))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (gt(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (lt(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | v13 = 0) & ( ~ (v13 = 0) | v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (geq(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (leq(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | v13 = 0) & ( ~ (v13 = 0) | v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (lt(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (leq(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | v13 = 0 | v12 = v11) & ( ~ (v13 = 0) | (v15 = 0 & ~ (v12 = v11))))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = v13) | ? [v14] : ? [v15] : (tl(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = v11))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = v13) | ? [v14] : ? [v15] : (hd(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = v12))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = v13) | ? [v14] : ? [v15] : (ssList(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v11) = 0) | ~ (app(v11, v12) = v13) | ? [v14] : ? [v15] : (ssList(v13) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (geq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v13] : ? [v14] : (geq(v12, v11) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (leq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v13] : ? [v14] : (leq(v12, v11) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (segmentP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : (segmentP(v12, v11) = v14 & ssList(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (rearsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : (rearsegP(v12, v11) = v14 & ssList(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (frontsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : (frontsegP(v12, v11) = v14 & ssList(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (app(v11, nil) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = v11 | ~ (app(nil, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = nil | ~ (ssList(v11) = 0) | ~ (app(v11, v12) = nil) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssItem(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (equalelemsP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v11 & v20 = 0 & v18 = 0 & v16 = 0 & v14 = 0 & ~ (v15 = v13) & ssList(v19) = 0 & ssList(v17) = 0 & cons(v15, v19) = v21 & cons(v13, v21) = v22 & app(v17, v22) = v11 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (duplicatefreeP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v11 & v24 = 0 & v20 = 0 & v18 = 0 & v16 = 0 & v15 = v13 & v14 = 0 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v13, v19) = v21 & app(v22, v25) = v11 & app(v17, v21) = v22 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (strictorderedP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v11 & v25 = 0 & v21 = 0 & v19 = 0 & v16 = 0 & v14 = 0 & ~ (v17 = 0) & lt(v13, v15) = v17 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v15, v24) = v26 & cons(v13, v20) = v22 & app(v23, v26) = v11 & app(v18, v22) = v23 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (totalorderedP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v11 & v25 = 0 & v21 = 0 & v19 = 0 & v16 = 0 & v14 = 0 & ~ (v17 = 0) & leq(v13, v15) = v17 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v15, v24) = v26 & cons(v13, v20) = v22 & app(v23, v26) = v11 & app(v18, v22) = v23 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (strictorderP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v11 & v26 = 0 & v22 = 0 & v20 = 0 & v16 = 0 & v14 = 0 & ~ (v18 = 0) & ~ (v17 = 0) & lt(v15, v13) = v18 & lt(v13, v15) = v17 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v15, v25) = v27 & cons(v13, v21) = v23 & app(v24, v27) = v11 & app(v19, v23) = v24 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (totalorderP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v11 & v26 = 0 & v22 = 0 & v20 = 0 & v16 = 0 & v14 = 0 & ~ (v18 = 0) & ~ (v17 = 0) & leq(v15, v13) = v18 & leq(v13, v15) = v17 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v15, v25) = v27 & cons(v13, v21) = v23 & app(v24, v27) = v11 & app(v19, v23) = v24 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (cyclefreeP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v11 & v26 = 0 & v22 = 0 & v20 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & v14 = 0 & leq(v15, v13) = 0 & leq(v13, v15) = 0 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v15, v25) = v27 & cons(v13, v21) = v23 & app(v24, v27) = v11 & app(v19, v23) = v24 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssItem(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (segmentP(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (segmentP(v11, nil) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (rearsegP(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (rearsegP(v11, nil) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (frontsegP(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (frontsegP(v11, nil) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v11 = nil | ~ (tl(v11) = v12) | ? [v13] : ? [v14] : (ssList(v12) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : (v11 = nil | ~ (tl(v11) = v12) | ? [v13] : ? [v14] : ((v14 = 0 & v13 = v12 & ssList(v12) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v11 = nil | ~ (hd(v11) = v12) | ? [v13] : ? [v14] : (ssList(v11) = v13 & ssItem(v12) = v14 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : (v11 = nil | ~ (hd(v11) = v12) | ? [v13] : ? [v14] : ((v14 = 0 & v13 = v12 & ssItem(v12) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v11 = nil | ~ (ssList(v11) = 0) | ~ (app(v11, v12) = nil) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v11] : ! [v12] : ( ~ (gt(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v13] : ? [v14] : (gt(v12, v11) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : ( ~ (tl(v11) = v12) | ? [v13] : ? [v14] : (hd(v11) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : (v15 = v11 | v15 = nil | v11 = nil | ~ (tl(v15) = v12) | ? [v16] : ? [v17] : (hd(v15) = v17 & ssList(v15) = v16 & ( ~ (v17 = v14) | ~ (v16 = 0))))))) & ! [v11] : ! [v12] : ( ~ (lt(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v13] : ? [v14] : (lt(v12, v11) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : ( ~ (segmentP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v18 = v11 & v17 = 0 & v14 = 0 & ssList(v16) = 0 & ssList(v13) = 0 & app(v15, v16) = v11 & app(v13, v12) = v15) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v11] : ! [v12] : ( ~ (rearsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v11 & v14 = 0 & ssList(v13) = 0 & app(v13, v12) = v11) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v11] : ! [v12] : ( ~ (frontsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v11 & v14 = 0 & ssList(v13) = 0 & app(v12, v13) = v11) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v11] : ! [v12] : ( ~ (memberP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v18 = v11 & v16 = 0 & v14 = 0 & ssList(v15) = 0 & ssList(v13) = 0 & cons(v12, v15) = v17 & app(v13, v17) = v11) | ( ~ (v13 = 0) & ssItem(v12) = v13))) & ! [v11] : ! [v12] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = v11) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v11] : ! [v12] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = nil) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (equalelemsP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (duplicatefreeP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (strictorderedP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (totalorderedP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (strictorderP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (totalorderP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (cyclefreeP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : (v11 = nil | ~ (segmentP(nil, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v11] : (v11 = nil | ~ (rearsegP(nil, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v11] : (v11 = nil | ~ (frontsegP(nil, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v11] : (v11 = nil | ~ (ssList(v11) = 0) | ? [v12] : ? [v13] : (ssList(v12) = 0 & cons(v13, v12) = v11 & ssItem(v13) = 0)) & ! [v11] : (v11 = nil | ~ (app(nil, nil) = v11)) & ! [v11] : (v11 = 0 | ~ (segmentP(nil, nil) = v11)) & ! [v11] : (v11 = 0 | ~ (rearsegP(nil, nil) = v11)) & ! [v11] : (v11 = 0 | ~ (frontsegP(nil, nil) = v11)) & ! [v11] : ( ~ (lt(v11, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssItem(v11) = v12)) & ! [v11] : ( ~ (singletonP(v11) = 0) | ? [v12] : ? [v13] : ? [v14] : ((v14 = v11 & v13 = 0 & cons(v12, nil) = v11 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v11) = v12))) & ! [v11] : ( ~ (memberP(nil, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssItem(v11) = v12)) & ! [v11] : ( ~ (ssList(v11) = 0) | ~ (neq(v11, v11) = 0)) & ! [v11] : ( ~ (neq(v11, v11) = 0) | ~ (ssItem(v11) = 0)) & ( ~ (v4 = 0) | (v8 = 0 & v7 = v1 & v6 = 0 & memberP(v3, v5) = 0 & cons(v5, nil) = v1 & ssItem(v5) = 0)) & ( ~ (v3 = nil) | v1 = nil)) % 24.20/7.66 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 yields: % 24.20/7.66 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_8_8 = 0) & ~ (all_0_10_10 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(all_0_9_9) = all_0_8_8 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_10_10 & ssList(all_0_7_7) = 0 & ssList(all_0_9_9) = 0 & ssList(nil) = 0 & neq(all_0_7_7, nil) = all_0_6_6 & 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_6_6 = 0) | (all_0_2_2 = 0 & all_0_3_3 = all_0_9_9 & all_0_4_4 = 0 & memberP(all_0_7_7, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_9_9 & ssItem(all_0_5_5) = 0)) & ( ~ (all_0_7_7 = nil) | all_0_9_9 = nil) % 24.64/7.69 | % 24.64/7.69 | Applying alpha-rule on (1) yields: % 24.64/7.69 | (2) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.64/7.69 | (3) ssList(all_0_9_9) = 0 % 24.64/7.69 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 24.64/7.69 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) % 24.64/7.69 | (6) ~ (all_0_7_7 = nil) | all_0_9_9 = nil % 24.64/7.69 | (7) ssItem(all_0_0_0) = 0 % 24.64/7.69 | (8) ! [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))) % 24.64/7.69 | (9) ! [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))))))) % 24.64/7.69 | (10) ! [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))) % 24.64/7.69 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) % 24.64/7.69 | (12) ! [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))))))) % 24.64/7.69 | (13) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.64/7.69 | (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))) % 24.64/7.69 | (15) ! [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))) % 24.64/7.69 | (16) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 24.64/7.69 | (17) ! [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))))))) % 24.64/7.70 | (18) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.64/7.70 | (19) ! [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))))) % 24.64/7.70 | (20) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 24.64/7.70 | (21) strictorderP(nil) = 0 % 24.64/7.70 | (22) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.64/7.70 | (23) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.64/7.70 | (24) cyclefreeP(nil) = 0 % 24.64/7.70 | (25) ! [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)))) % 24.64/7.70 | (26) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.64/7.70 | (27) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 24.64/7.70 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) % 24.64/7.70 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) % 24.64/7.70 | (30) ! [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))) % 24.64/7.70 | (31) ! [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))) % 24.64/7.70 | (32) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) % 24.64/7.70 | (33) ! [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))) % 24.64/7.70 | (34) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.64/7.70 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) % 24.64/7.70 | (36) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) % 24.64/7.70 | (37) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.64/7.70 | (38) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) % 24.64/7.70 | (39) ssList(nil) = 0 % 24.64/7.70 | (40) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.64/7.70 | (41) equalelemsP(nil) = 0 % 24.64/7.70 | (42) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.64/7.70 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) % 24.64/7.70 | (44) ! [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))))) % 24.64/7.70 | (45) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 24.64/7.70 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 24.64/7.70 | (47) ! [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))) % 24.64/7.70 | (48) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.64/7.70 | (49) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.64/7.70 | (50) strictorderedP(nil) = 0 % 24.64/7.70 | (51) totalorderedP(nil) = 0 % 24.64/7.70 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) % 24.64/7.70 | (53) ! [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))) % 24.64/7.70 | (54) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) % 24.64/7.70 | (55) ! [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))))))) % 24.64/7.70 | (56) ! [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))) % 24.75/7.71 | (57) ! [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))))) % 24.75/7.71 | (58) ~ (all_0_0_0 = all_0_1_1) % 24.75/7.71 | (59) ! [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))))) % 24.75/7.71 | (60) neq(all_0_7_7, nil) = all_0_6_6 % 24.75/7.71 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 24.75/7.71 | (62) ! [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))))) % 24.75/7.71 | (63) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.75/7.71 | (64) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.75/7.71 | (65) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 24.75/7.71 | (66) ! [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))) % 24.75/7.71 | (67) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) % 24.75/7.71 | (68) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 24.75/7.71 | (69) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.75/7.71 | (70) ! [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))))) % 24.75/7.71 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) % 24.75/7.71 | (72) ! [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)))))))) % 24.75/7.71 | (73) ! [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)))))))) % 24.75/7.71 | (74) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) % 24.75/7.71 | (75) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.75/7.71 | (76) ! [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))))))) % 24.75/7.71 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) % 24.75/7.71 | (78) ! [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))) % 24.75/7.71 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) % 24.75/7.71 | (80) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.75/7.71 | (81) ! [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))) % 24.75/7.71 | (82) ! [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))))) % 24.75/7.71 | (83) ! [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))) % 24.75/7.71 | (84) ! [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))))))) % 24.75/7.72 | (85) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.75/7.72 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) % 24.75/7.72 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 24.75/7.72 | (88) ! [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))) % 24.75/7.72 | (89) ! [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))) % 24.75/7.72 | (90) totalorderP(nil) = 0 % 24.75/7.72 | (91) ! [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))) % 24.75/7.72 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) % 24.75/7.72 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 24.75/7.72 | (94) ! [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))) % 24.75/7.72 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) % 24.75/7.72 | (96) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.75/7.72 | (97) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 24.75/7.72 | (98) ! [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))) % 24.75/7.72 | (99) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) % 24.75/7.72 | (100) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.75/7.72 | (101) ~ (all_0_6_6 = 0) | (all_0_2_2 = 0 & all_0_3_3 = all_0_9_9 & all_0_4_4 = 0 & memberP(all_0_7_7, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_9_9 & ssItem(all_0_5_5) = 0) % 24.75/7.72 | (102) ! [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)))) % 24.75/7.72 | (103) ! [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))))) % 24.81/7.72 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 24.81/7.72 | (105) ! [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))) % 24.81/7.72 | (106) ! [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)))) % 24.81/7.72 | (107) ssItem(all_0_1_1) = 0 % 24.81/7.72 | (108) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.81/7.72 | (109) ! [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)))))))) % 24.81/7.72 | (110) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.81/7.72 | (111) ! [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))) % 24.81/7.72 | (112) ! [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))) % 24.81/7.72 | (113) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) % 24.81/7.72 | (114) ! [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)))) % 24.81/7.72 | (115) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.81/7.72 | (116) ! [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))))) % 24.81/7.73 | (117) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 24.81/7.73 | (118) ! [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))))) % 24.81/7.73 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) % 24.81/7.73 | (120) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) % 24.81/7.73 | (121) ~ (all_0_10_10 = 0) % 24.81/7.73 | (122) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) % 24.81/7.73 | (123) ~ (all_0_8_8 = 0) % 24.81/7.73 | (124) duplicatefreeP(nil) = 0 % 24.81/7.73 | (125) strictorderedP(all_0_9_9) = all_0_8_8 % 24.81/7.73 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 24.81/7.73 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) % 24.81/7.73 | (128) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 24.81/7.73 | (129) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) % 24.81/7.73 | (130) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.81/7.73 | (131) ssList(all_0_7_7) = 0 % 24.81/7.73 | (132) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 24.81/7.73 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 24.81/7.73 | (134) ! [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))) % 24.81/7.73 | (135) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) % 24.81/7.73 | (136) ! [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)))) % 24.81/7.73 | (137) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 24.81/7.73 | (138) ! [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))) % 24.81/7.73 | (139) ! [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))))))) % 24.81/7.73 | (140) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) % 24.81/7.73 | (141) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 24.81/7.73 | (142) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.81/7.73 | (143) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) % 24.81/7.73 | (144) ! [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))) % 24.81/7.73 | (145) ! [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))) % 24.81/7.73 | (146) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 24.81/7.73 | (147) singletonP(nil) = all_0_10_10 % 24.81/7.73 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) % 24.81/7.73 | (149) ! [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))) % 24.81/7.73 | % 24.81/7.73 | Instantiating formula (79) with nil, 0, all_0_8_8 and discharging atoms strictorderedP(nil) = 0, yields: % 24.81/7.73 | (150) all_0_8_8 = 0 | ~ (strictorderedP(nil) = all_0_8_8) % 24.81/7.73 | % 24.81/7.73 | Instantiating formula (78) with all_0_8_8, all_0_9_9 and discharging atoms strictorderedP(all_0_9_9) = all_0_8_8, yields: % 24.81/7.73 | (151) all_0_8_8 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = all_0_9_9 & v12 = 0 & v8 = 0 & v6 = 0 & v3 = 0 & v1 = 0 & ~ (v4 = 0) & lt(v0, v2) = v4 & ssList(v11) = 0 & ssList(v7) = 0 & ssList(v5) = 0 & cons(v2, v11) = v13 & cons(v0, v7) = v9 & app(v10, v13) = all_0_9_9 & app(v5, v9) = v10 & ssItem(v2) = 0 & ssItem(v0) = 0) | ( ~ (v0 = 0) & ssList(all_0_9_9) = v0)) % 24.81/7.73 | % 24.81/7.73 | Instantiating formula (54) with all_0_6_6, nil, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, neq(all_0_7_7, nil) = all_0_6_6, yields: % 24.81/7.73 | (152) all_0_6_6 = 0 | all_0_7_7 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0) % 24.81/7.73 | % 24.81/7.73 +-Applying beta-rule and splitting (6), into two cases. % 24.81/7.73 |-Branch one: % 24.81/7.73 | (153) ~ (all_0_7_7 = nil) % 24.81/7.73 | % 24.81/7.73 +-Applying beta-rule and splitting (152), into two cases. % 24.81/7.73 |-Branch one: % 24.81/7.73 | (154) all_0_7_7 = nil % 24.81/7.73 | % 24.81/7.74 | Equations (154) can reduce 153 to: % 24.81/7.74 | (155) $false % 24.81/7.74 | % 24.81/7.74 |-The branch is then unsatisfiable % 24.81/7.74 |-Branch two: % 24.81/7.74 | (153) ~ (all_0_7_7 = nil) % 24.81/7.74 | (157) all_0_6_6 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0) % 24.81/7.74 | % 24.81/7.74 +-Applying beta-rule and splitting (157), into two cases. % 24.81/7.74 |-Branch one: % 24.81/7.74 | (158) all_0_6_6 = 0 % 24.81/7.74 | % 24.81/7.74 +-Applying beta-rule and splitting (151), into two cases. % 24.81/7.74 |-Branch one: % 24.81/7.74 | (159) all_0_8_8 = 0 % 24.81/7.74 | % 24.81/7.74 | Equations (159) can reduce 123 to: % 24.81/7.74 | (155) $false % 24.81/7.74 | % 24.81/7.74 |-The branch is then unsatisfiable % 24.81/7.74 |-Branch two: % 24.81/7.74 | (123) ~ (all_0_8_8 = 0) % 24.81/7.74 | (162) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = all_0_9_9 & v12 = 0 & v8 = 0 & v6 = 0 & v3 = 0 & v1 = 0 & ~ (v4 = 0) & lt(v0, v2) = v4 & ssList(v11) = 0 & ssList(v7) = 0 & ssList(v5) = 0 & cons(v2, v11) = v13 & cons(v0, v7) = v9 & app(v10, v13) = all_0_9_9 & app(v5, v9) = v10 & ssItem(v2) = 0 & ssItem(v0) = 0) | ( ~ (v0 = 0) & ssList(all_0_9_9) = v0)) % 24.81/7.74 | % 24.81/7.74 +-Applying beta-rule and splitting (101), into two cases. % 24.81/7.74 |-Branch one: % 24.81/7.74 | (163) ~ (all_0_6_6 = 0) % 24.81/7.74 | % 24.81/7.74 | Equations (158) can reduce 163 to: % 24.81/7.74 | (155) $false % 24.81/7.74 | % 24.81/7.74 |-The branch is then unsatisfiable % 24.81/7.74 |-Branch two: % 24.81/7.74 | (158) all_0_6_6 = 0 % 24.81/7.74 | (166) all_0_2_2 = 0 & all_0_3_3 = all_0_9_9 & all_0_4_4 = 0 & memberP(all_0_7_7, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_9_9 & ssItem(all_0_5_5) = 0 % 24.81/7.74 | % 24.81/7.74 | Applying alpha-rule on (166) yields: % 24.81/7.74 | (167) memberP(all_0_7_7, all_0_5_5) = 0 % 24.81/7.74 | (168) cons(all_0_5_5, nil) = all_0_9_9 % 24.81/7.74 | (169) ssItem(all_0_5_5) = 0 % 24.81/7.74 | (170) all_0_4_4 = 0 % 24.81/7.74 | (171) all_0_2_2 = 0 % 24.81/7.74 | (172) all_0_3_3 = all_0_9_9 % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (113) with all_0_9_9, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_9_9, yields: % 24.81/7.74 | (173) ? [v0] : ? [v1] : (tl(all_0_9_9) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (95) with all_0_9_9, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_9_9, yields: % 24.81/7.74 | (174) ? [v0] : ? [v1] : (hd(all_0_9_9) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = all_0_5_5)) % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (37) with all_0_9_9, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_9_9, yields: % 24.81/7.74 | (175) ? [v0] : ? [v1] : (equalelemsP(all_0_9_9) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (96) with all_0_9_9, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_9_9, yields: % 24.81/7.74 | (176) ? [v0] : ? [v1] : (duplicatefreeP(all_0_9_9) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (26) with all_0_9_9, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_9_9, yields: % 24.81/7.74 | (177) ? [v0] : ? [v1] : (strictorderedP(all_0_9_9) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 24.81/7.74 | % 24.81/7.74 | Instantiating (177) with all_60_0_51, all_60_1_52 yields: % 24.81/7.74 | (178) strictorderedP(all_0_9_9) = all_60_0_51 & ssItem(all_0_5_5) = all_60_1_52 & ( ~ (all_60_1_52 = 0) | all_60_0_51 = 0) % 24.81/7.74 | % 24.81/7.74 | Applying alpha-rule on (178) yields: % 24.81/7.74 | (179) strictorderedP(all_0_9_9) = all_60_0_51 % 24.81/7.74 | (180) ssItem(all_0_5_5) = all_60_1_52 % 24.81/7.74 | (181) ~ (all_60_1_52 = 0) | all_60_0_51 = 0 % 24.81/7.74 | % 24.81/7.74 | Instantiating (175) with all_62_0_53, all_62_1_54 yields: % 24.81/7.74 | (182) equalelemsP(all_0_9_9) = all_62_0_53 & ssItem(all_0_5_5) = all_62_1_54 & ( ~ (all_62_1_54 = 0) | all_62_0_53 = 0) % 24.81/7.74 | % 24.81/7.74 | Applying alpha-rule on (182) yields: % 24.81/7.74 | (183) equalelemsP(all_0_9_9) = all_62_0_53 % 24.81/7.74 | (184) ssItem(all_0_5_5) = all_62_1_54 % 24.81/7.74 | (185) ~ (all_62_1_54 = 0) | all_62_0_53 = 0 % 24.81/7.74 | % 24.81/7.74 | Instantiating (176) with all_64_0_55, all_64_1_56 yields: % 24.81/7.74 | (186) duplicatefreeP(all_0_9_9) = all_64_0_55 & ssItem(all_0_5_5) = all_64_1_56 & ( ~ (all_64_1_56 = 0) | all_64_0_55 = 0) % 24.81/7.74 | % 24.81/7.74 | Applying alpha-rule on (186) yields: % 24.81/7.74 | (187) duplicatefreeP(all_0_9_9) = all_64_0_55 % 24.81/7.74 | (188) ssItem(all_0_5_5) = all_64_1_56 % 24.81/7.74 | (189) ~ (all_64_1_56 = 0) | all_64_0_55 = 0 % 24.81/7.74 | % 24.81/7.74 | Instantiating (174) with all_74_0_65, all_74_1_66 yields: % 24.81/7.74 | (190) hd(all_0_9_9) = all_74_0_65 & ssItem(all_0_5_5) = all_74_1_66 & ( ~ (all_74_1_66 = 0) | all_74_0_65 = all_0_5_5) % 24.81/7.74 | % 24.81/7.74 | Applying alpha-rule on (190) yields: % 24.81/7.74 | (191) hd(all_0_9_9) = all_74_0_65 % 24.81/7.74 | (192) ssItem(all_0_5_5) = all_74_1_66 % 24.81/7.74 | (193) ~ (all_74_1_66 = 0) | all_74_0_65 = all_0_5_5 % 24.81/7.74 | % 24.81/7.74 | Instantiating (173) with all_78_0_69, all_78_1_70 yields: % 24.81/7.74 | (194) tl(all_0_9_9) = all_78_0_69 & ssItem(all_0_5_5) = all_78_1_70 & ( ~ (all_78_1_70 = 0) | all_78_0_69 = nil) % 24.81/7.74 | % 24.81/7.74 | Applying alpha-rule on (194) yields: % 24.81/7.74 | (195) tl(all_0_9_9) = all_78_0_69 % 24.81/7.74 | (196) ssItem(all_0_5_5) = all_78_1_70 % 24.81/7.74 | (197) ~ (all_78_1_70 = 0) | all_78_0_69 = nil % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (79) with all_0_9_9, all_60_0_51, all_0_8_8 and discharging atoms strictorderedP(all_0_9_9) = all_60_0_51, strictorderedP(all_0_9_9) = all_0_8_8, yields: % 24.81/7.74 | (198) all_60_0_51 = all_0_8_8 % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (126) with all_0_5_5, all_74_1_66, 0 and discharging atoms ssItem(all_0_5_5) = all_74_1_66, ssItem(all_0_5_5) = 0, yields: % 24.81/7.74 | (199) all_74_1_66 = 0 % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (126) with all_0_5_5, all_74_1_66, all_78_1_70 and discharging atoms ssItem(all_0_5_5) = all_78_1_70, ssItem(all_0_5_5) = all_74_1_66, yields: % 24.81/7.74 | (200) all_78_1_70 = all_74_1_66 % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (126) with all_0_5_5, all_64_1_56, all_78_1_70 and discharging atoms ssItem(all_0_5_5) = all_78_1_70, ssItem(all_0_5_5) = all_64_1_56, yields: % 24.81/7.74 | (201) all_78_1_70 = all_64_1_56 % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (126) with all_0_5_5, all_62_1_54, all_74_1_66 and discharging atoms ssItem(all_0_5_5) = all_74_1_66, ssItem(all_0_5_5) = all_62_1_54, yields: % 24.81/7.74 | (202) all_74_1_66 = all_62_1_54 % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (126) with all_0_5_5, all_60_1_52, all_78_1_70 and discharging atoms ssItem(all_0_5_5) = all_78_1_70, ssItem(all_0_5_5) = all_60_1_52, yields: % 24.81/7.74 | (203) all_78_1_70 = all_60_1_52 % 24.81/7.74 | % 24.81/7.74 | Combining equations (203,201) yields a new equation: % 24.81/7.74 | (204) all_64_1_56 = all_60_1_52 % 24.81/7.74 | % 24.81/7.74 | Combining equations (200,201) yields a new equation: % 24.81/7.74 | (205) all_74_1_66 = all_64_1_56 % 24.81/7.74 | % 24.81/7.74 | Simplifying 205 yields: % 24.81/7.74 | (206) all_74_1_66 = all_64_1_56 % 24.81/7.74 | % 24.81/7.74 | Combining equations (206,202) yields a new equation: % 24.81/7.74 | (207) all_64_1_56 = all_62_1_54 % 24.81/7.74 | % 24.81/7.74 | Simplifying 207 yields: % 24.81/7.74 | (208) all_64_1_56 = all_62_1_54 % 24.81/7.74 | % 24.81/7.74 | Combining equations (199,202) yields a new equation: % 24.81/7.74 | (209) all_62_1_54 = 0 % 24.81/7.74 | % 24.81/7.74 | Combining equations (208,204) yields a new equation: % 24.81/7.74 | (210) all_62_1_54 = all_60_1_52 % 24.81/7.74 | % 24.81/7.74 | Simplifying 210 yields: % 24.81/7.74 | (211) all_62_1_54 = all_60_1_52 % 24.81/7.74 | % 24.81/7.74 | Combining equations (211,209) yields a new equation: % 24.81/7.74 | (212) all_60_1_52 = 0 % 24.81/7.74 | % 24.81/7.74 | Simplifying 212 yields: % 24.81/7.74 | (213) all_60_1_52 = 0 % 24.81/7.74 | % 24.81/7.74 +-Applying beta-rule and splitting (181), into two cases. % 24.81/7.74 |-Branch one: % 24.81/7.74 | (214) ~ (all_60_1_52 = 0) % 24.81/7.74 | % 24.81/7.74 | Equations (213) can reduce 214 to: % 24.81/7.74 | (155) $false % 24.81/7.74 | % 24.81/7.74 |-The branch is then unsatisfiable % 24.81/7.74 |-Branch two: % 24.81/7.74 | (213) all_60_1_52 = 0 % 24.81/7.74 | (217) all_60_0_51 = 0 % 24.81/7.74 | % 24.81/7.74 | Combining equations (198,217) yields a new equation: % 24.81/7.74 | (218) all_0_8_8 = 0 % 24.81/7.74 | % 24.81/7.74 | Simplifying 218 yields: % 24.81/7.74 | (159) all_0_8_8 = 0 % 24.81/7.74 | % 24.81/7.74 | Equations (159) can reduce 123 to: % 24.81/7.74 | (155) $false % 24.81/7.74 | % 24.81/7.74 |-The branch is then unsatisfiable % 24.81/7.74 |-Branch two: % 24.81/7.74 | (163) ~ (all_0_6_6 = 0) % 24.81/7.74 | (222) ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0) % 24.81/7.74 | % 24.81/7.74 | Instantiating (222) with all_18_0_79 yields: % 24.81/7.74 | (223) ~ (all_18_0_79 = 0) & ssList(nil) = all_18_0_79 % 24.81/7.74 | % 24.81/7.74 | Applying alpha-rule on (223) yields: % 24.81/7.74 | (224) ~ (all_18_0_79 = 0) % 24.81/7.74 | (225) ssList(nil) = all_18_0_79 % 24.81/7.74 | % 24.81/7.74 | Instantiating formula (137) with nil, all_18_0_79, 0 and discharging atoms ssList(nil) = all_18_0_79, ssList(nil) = 0, yields: % 24.81/7.75 | (226) all_18_0_79 = 0 % 24.81/7.75 | % 24.81/7.75 | Equations (226) can reduce 224 to: % 24.81/7.75 | (155) $false % 24.81/7.75 | % 24.81/7.75 |-The branch is then unsatisfiable % 24.81/7.75 |-Branch two: % 24.81/7.75 | (154) all_0_7_7 = nil % 24.81/7.75 | (229) all_0_9_9 = nil % 24.81/7.75 | % 24.81/7.75 | From (229) and (125) follows: % 24.81/7.75 | (230) strictorderedP(nil) = all_0_8_8 % 24.81/7.75 | % 24.81/7.75 +-Applying beta-rule and splitting (150), into two cases. % 24.81/7.75 |-Branch one: % 24.81/7.75 | (231) ~ (strictorderedP(nil) = all_0_8_8) % 24.81/7.75 | % 24.81/7.75 | Using (230) and (231) yields: % 24.81/7.75 | (232) $false % 24.81/7.75 | % 24.81/7.75 |-The branch is then unsatisfiable % 24.81/7.75 |-Branch two: % 24.81/7.75 | (230) strictorderedP(nil) = all_0_8_8 % 24.81/7.75 | (159) all_0_8_8 = 0 % 24.81/7.75 | % 24.81/7.75 | Equations (159) can reduce 123 to: % 24.81/7.75 | (155) $false % 24.81/7.75 | % 24.81/7.75 |-The branch is then unsatisfiable % 24.81/7.75 % SZS output end Proof for theBenchmark % 24.81/7.75 % 24.81/7.75 7137ms %------------------------------------------------------------------------------