%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWC389+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n023.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 20:17:52 EDT 2022 % Result : Theorem 20.36s 6.58s % Output : Proof 25.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SWC389+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.32 % Computer : n023.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sun Jun 12 14:25:06 EDT 2022 % 0.12/0.32 % CPUTime : % 0.18/0.58 ____ _ % 0.18/0.58 ___ / __ \_____(_)___ ________ __________ % 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.18/0.58 % 0.18/0.58 A Theorem Prover for First-Order Logic % 0.18/0.59 (ePrincess v.1.0) % 0.18/0.59 % 0.18/0.59 (c) Philipp Rümmer, 2009-2015 % 0.18/0.59 (c) Peter Backeman, 2014-2015 % 0.18/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.18/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.18/0.59 Bug reports to peter@backeman.se % 0.18/0.59 % 0.18/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.18/0.59 % 0.18/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.64/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.07/1.08 Prover 0: Preprocessing ... % 4.54/1.80 Prover 0: Constructing countermodel ... % 18.10/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 18.80/6.12 Prover 1: Preprocessing ... % 19.93/6.44 Prover 1: Constructing countermodel ... % 20.36/6.57 Prover 1: proved (636ms) % 20.36/6.58 Prover 0: stopped % 20.36/6.58 % 20.36/6.58 No countermodel exists, formula is valid % 20.36/6.58 % SZS status Theorem for theBenchmark % 20.36/6.58 % 20.36/6.58 Generating proof ... found it (size 126) % 24.28/7.52 % 24.28/7.52 % SZS output start Proof for theBenchmark % 24.28/7.52 Assumed formulas after preprocessing and simplification: % 24.28/7.52 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = v15) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & segmentP(v3, v1) = v4 & singletonP(v1) = v2 & singletonP(nil) = v0 & ssList(v3) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & neq(v3, nil) = v5 & ssItem(v16) = 0 & ssItem(v15) = 0 & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v20 = 0 | ~ (strictorderedP(v17) = 0) | ~ (lt(v18, v19) = v20) | ~ (ssList(v21) = 0) | ~ (cons(v19, v25) = v26) | ~ (cons(v18, v22) = v23) | ~ (app(v24, v26) = v17) | ~ (app(v21, v23) = v24) | ~ (ssItem(v18) = 0) | ? [v27] : (( ~ (v27 = 0) & ssList(v25) = v27) | ( ~ (v27 = 0) & ssList(v22) = v27) | ( ~ (v27 = 0) & ssList(v17) = v27) | ( ~ (v27 = 0) & ssItem(v19) = v27))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v20 = 0 | ~ (totalorderedP(v17) = 0) | ~ (leq(v18, v19) = v20) | ~ (ssList(v21) = 0) | ~ (cons(v19, v25) = v26) | ~ (cons(v18, v22) = v23) | ~ (app(v24, v26) = v17) | ~ (app(v21, v23) = v24) | ~ (ssItem(v18) = 0) | ? [v27] : (( ~ (v27 = 0) & ssList(v25) = v27) | ( ~ (v27 = 0) & ssList(v22) = v27) | ( ~ (v27 = 0) & ssList(v17) = v27) | ( ~ (v27 = 0) & ssItem(v19) = v27))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (duplicatefreeP(v17) = 0) | ~ (ssList(v19) = 0) | ~ (cons(v18, v23) = v24) | ~ (cons(v18, v20) = v21) | ~ (app(v22, v24) = v17) | ~ (app(v19, v21) = v22) | ~ (ssItem(v18) = 0) | ? [v25] : (( ~ (v25 = 0) & ssList(v23) = v25) | ( ~ (v25 = 0) & ssList(v20) = v25) | ( ~ (v25 = 0) & ssList(v17) = v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (segmentP(v22, v18) = v23) | ~ (segmentP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ~ (app(v20, v21) = v22) | ~ (app(v19, v17) = v20) | ? [v24] : (( ~ (v24 = 0) & ssList(v21) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v18) = v24))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v18 | ~ (equalelemsP(v17) = 0) | ~ (ssList(v20) = 0) | ~ (cons(v19, v21) = v22) | ~ (cons(v18, v22) = v23) | ~ (app(v20, v23) = v17) | ~ (ssItem(v19) = 0) | ~ (ssItem(v18) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v21) = v24) | ( ~ (v24 = 0) & ssList(v17) = v24))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (frontsegP(v20, v22) = v23) | ~ (cons(v18, v21) = v22) | ~ (cons(v17, v19) = v20) | ~ (ssItem(v18) = 0) | ~ (ssItem(v17) = 0) | ? [v24] : ? [v25] : (( ~ (v24 = 0) & ssList(v19) = v24) | (frontsegP(v19, v21) = v25 & ssList(v21) = v24 & ( ~ (v24 = 0) | (( ~ (v25 = 0) | ~ (v18 = v17) | v23 = 0) & ( ~ (v23 = 0) | (v25 = 0 & v18 = v17))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = 0 | ~ (segmentP(v17, v18) = v19) | ~ (ssList(v17) = 0) | ~ (app(v21, v22) = v17) | ~ (app(v20, v18) = v21) | ? [v23] : (( ~ (v23 = 0) & ssList(v22) = v23) | ( ~ (v23 = 0) & ssList(v20) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = 0 | ~ (memberP(v17, v18) = v19) | ~ (ssList(v20) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v18, v21) = v22) | ~ (app(v20, v22) = v17) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssItem(v18) = v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (memberP(v21, v17) = v22) | ~ (memberP(v18, v17) = v19) | ~ (app(v18, v20) = v21) | ~ (ssItem(v17) = 0) | ? [v23] : ? [v24] : (( ~ (v23 = 0) & ssList(v18) = v23) | (memberP(v20, v17) = v24 & ssList(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v22 = 0) | v24 = 0 | v19 = 0) & (v22 = 0 | ( ~ (v24 = 0) & ~ (v19 = 0)))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v19 | ~ (ssList(v18) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v21, v18) = v20) | ~ (cons(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssItem(v21) = v22) | ( ~ (v22 = 0) & ssItem(v19) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (rearsegP(v20, v18) = v21) | ~ (rearsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ~ (app(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v18) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (frontsegP(v20, v18) = v21) | ~ (frontsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ~ (app(v17, v19) = v20) | ? [v22] : (( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v18) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (ssList(v18) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v21, v18) = v20) | ~ (cons(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssItem(v21) = v22) | ( ~ (v22 = 0) & ssItem(v19) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (memberP(v20, v17) = v21) | ~ (cons(v18, v19) = v20) | ~ (ssItem(v18) = 0) | ~ (ssItem(v17) = 0) | ? [v22] : ? [v23] : (memberP(v19, v17) = v23 & ssList(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) | v23 = 0 | v18 = v17) & (v21 = 0 | ( ~ (v23 = 0) & ~ (v18 = v17))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (ssList(v17) = 0) | ~ (cons(v20, v19) = v21) | ~ (app(v18, v17) = v19) | ? [v22] : ? [v23] : ? [v24] : (( ~ (v22 = 0) & ssList(v18) = v22) | (cons(v20, v18) = v23 & app(v23, v17) = v24 & ssItem(v20) = v22 & ( ~ (v22 = 0) | v24 = v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (ssList(v17) = 0) | ~ (app(v19, v20) = v21) | ~ (app(v17, v18) = v19) | ? [v22] : ? [v23] : ? [v24] : (( ~ (v22 = 0) & ssList(v18) = v22) | (ssList(v20) = v22 & app(v18, v20) = v23 & app(v17, v23) = v24 & ( ~ (v22 = 0) | v24 = v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | v17 = nil | ~ (tl(v17) = v19) | ~ (hd(v17) = v18) | ~ (cons(v18, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & ssList(v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (ssList(v17) = 0) | ~ (app(v20, v18) = v19) | ~ (app(v17, v18) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (ssList(v17) = 0) | ~ (app(v18, v20) = v19) | ~ (app(v18, v17) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (gt(v17, v19) = v20) | ~ (gt(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (gt(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (geq(v17, v19) = v20) | ~ (geq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (geq(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (lt(v17, v19) = v20) | ~ (lt(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (lt(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (lt(v17, v19) = v20) | ~ (leq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (lt(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (leq(v17, v19) = v20) | ~ (leq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (leq(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (segmentP(v17, v19) = v20) | ~ (segmentP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v18) = v21) | (segmentP(v18, v19) = v22 & ssList(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (rearsegP(v17, v19) = v20) | ~ (rearsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v18) = v21) | (rearsegP(v18, v19) = v22 & ssList(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (frontsegP(v17, v19) = v20) | ~ (frontsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v18) = v21) | (frontsegP(v18, v19) = v22 & ssList(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (rearsegP(v17, v18) = v19) | ~ (ssList(v17) = 0) | ~ (app(v20, v18) = v17) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (frontsegP(v17, v18) = v19) | ~ (ssList(v17) = 0) | ~ (app(v18, v20) = v17) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (gt(v20, v19) = v18) | ~ (gt(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (geq(v20, v19) = v18) | ~ (geq(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (lt(v20, v19) = v18) | ~ (lt(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (leq(v20, v19) = v18) | ~ (leq(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (segmentP(v20, v19) = v18) | ~ (segmentP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (rearsegP(v20, v19) = v18) | ~ (rearsegP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (frontsegP(v20, v19) = v18) | ~ (frontsegP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (memberP(v20, v19) = v18) | ~ (memberP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (cons(v20, v19) = v18) | ~ (cons(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (app(v20, v19) = v18) | ~ (app(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (neq(v20, v19) = v18) | ~ (neq(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = nil | ~ (tl(v17) = v18) | ~ (app(v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : (( ~ (v21 = 0) & ssList(v17) = v21) | (tl(v22) = v23 & ssList(v19) = v21 & app(v17, v19) = v22 & ( ~ (v21 = 0) | v23 = v20)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = nil | ~ (hd(v17) = v18) | ~ (app(v17, v19) = v20) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v17) = v21) | (hd(v20) = v22 & ssList(v19) = v21 & ( ~ (v21 = 0) | v22 = v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hd(v18) = v19) | ~ (lt(v17, v19) = v20) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (strictorderedP(v22) = v23 & strictorderedP(v18) = v24 & ssList(v18) = v21 & cons(v17, v18) = v22 & ( ~ (v21 = 0) | (( ~ (v23 = 0) | v18 = nil | (v24 = 0 & v20 = 0)) & (v23 = 0 | ( ~ (v18 = nil) & ( ~ (v24 = 0) | ~ (v20 = 0)))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hd(v18) = v19) | ~ (leq(v17, v19) = v20) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (totalorderedP(v22) = v23 & totalorderedP(v18) = v24 & ssList(v18) = v21 & cons(v17, v18) = v22 & ( ~ (v21 = 0) | (( ~ (v23 = 0) | v18 = nil | (v24 = 0 & v20 = 0)) & (v23 = 0 | ( ~ (v18 = nil) & ( ~ (v24 = 0) | ~ (v20 = 0)))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (strictorderP(v17) = 0) | ~ (lt(v18, v19) = v20) | ~ (ssItem(v18) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v17) = v21) | (lt(v19, v18) = v22 & ssItem(v19) = v21 & ( ~ (v21 = 0) | ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v22 = 0 | v20 = 0 | ~ (ssList(v23) = 0) | ~ (cons(v19, v27) = v28) | ~ (cons(v18, v24) = v25) | ~ (app(v26, v28) = v17) | ~ (app(v23, v25) = v26) | ? [v29] : (( ~ (v29 = 0) & ssList(v27) = v29) | ( ~ (v29 = 0) & ssList(v24) = v29))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (totalorderP(v17) = 0) | ~ (leq(v18, v19) = v20) | ~ (ssItem(v18) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v17) = v21) | (leq(v19, v18) = v22 & ssItem(v19) = v21 & ( ~ (v21 = 0) | ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v22 = 0 | v20 = 0 | ~ (ssList(v23) = 0) | ~ (cons(v19, v27) = v28) | ~ (cons(v18, v24) = v25) | ~ (app(v26, v28) = v17) | ~ (app(v23, v25) = v26) | ? [v29] : (( ~ (v29 = 0) & ssList(v27) = v29) | ( ~ (v29 = 0) & ssList(v24) = v29))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (cyclefreeP(v17) = 0) | ~ (leq(v18, v19) = v20) | ~ (ssItem(v18) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v17) = v21) | (leq(v19, v18) = v22 & ssItem(v19) = v21 & ( ~ (v21 = 0) | ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (v22 = 0) | ~ (v20 = 0) | ~ (ssList(v23) = 0) | ~ (cons(v19, v27) = v28) | ~ (cons(v18, v24) = v25) | ~ (app(v26, v28) = v17) | ~ (app(v23, v25) = v26) | ? [v29] : (( ~ (v29 = 0) & ssList(v27) = v29) | ( ~ (v29 = 0) & ssList(v24) = v29))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, nil) = v19) | ~ (app(v19, v17) = v20) | ? [v21] : ? [v22] : (cons(v18, v17) = v22 & ssItem(v18) = v21 & ( ~ (v21 = 0) | v22 = v20))) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | v18 = v17 | ~ (lt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (leq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0)))) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | v18 = v17 | ~ (ssList(v17) = 0) | ~ (neq(v17, v18) = v19) | ? [v20] : ( ~ (v20 = 0) & ssList(v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | v18 = v17 | ~ (neq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ( ~ (v20 = 0) & ssItem(v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (tl(v19) = v18) | ~ (tl(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (hd(v19) = v18) | ~ (hd(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (equalelemsP(v19) = v18) | ~ (equalelemsP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (duplicatefreeP(v19) = v18) | ~ (duplicatefreeP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (strictorderedP(v19) = v18) | ~ (strictorderedP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (totalorderedP(v19) = v18) | ~ (totalorderedP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (strictorderP(v19) = v18) | ~ (strictorderP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (totalorderP(v19) = v18) | ~ (totalorderP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (cyclefreeP(v19) = v18) | ~ (cyclefreeP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (singletonP(v19) = v18) | ~ (singletonP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (ssList(v19) = v18) | ~ (ssList(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (ssItem(v19) = v18) | ~ (ssItem(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (singletonP(v17) = v18) | ~ (cons(v19, nil) = v17) | ? [v20] : (( ~ (v20 = 0) & ssList(v17) = v20) | ( ~ (v20 = 0) & ssItem(v19) = v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (gt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (lt(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | (( ~ (v21 = 0) | v19 = 0) & ( ~ (v19 = 0) | v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (geq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (leq(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | (( ~ (v21 = 0) | v19 = 0) & ( ~ (v19 = 0) | v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (lt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (leq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | (( ~ (v21 = 0) | v19 = 0 | v18 = v17) & ( ~ (v19 = 0) | (v21 = 0 & ~ (v18 = v17))))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = v19) | ? [v20] : ? [v21] : (tl(v19) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | v21 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = v19) | ? [v20] : ? [v21] : (hd(v19) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | v21 = v18))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = v19) | ? [v20] : ? [v21] : (ssList(v19) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | v21 = 0))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v17) = 0) | ~ (app(v17, v18) = v19) | ? [v20] : ? [v21] : (ssList(v19) = v21 & ssList(v18) = v20 & ( ~ (v20 = 0) | v21 = 0))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (geq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v19] : ? [v20] : (geq(v18, v17) = v20 & ssItem(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (leq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v19] : ? [v20] : (leq(v18, v17) = v20 & ssItem(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (segmentP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : (segmentP(v18, v17) = v20 & ssList(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (rearsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : (rearsegP(v18, v17) = v20 & ssList(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (frontsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : (frontsegP(v18, v17) = v20 & ssList(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (app(v17, nil) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (app(nil, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = nil | ~ (ssList(v17) = 0) | ~ (app(v17, v18) = nil) | ? [v19] : ( ~ (v19 = 0) & ssList(v18) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (geq(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssItem(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (equalelemsP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v17 & v26 = 0 & v24 = 0 & v22 = 0 & v20 = 0 & ~ (v21 = v19) & ssList(v25) = 0 & ssList(v23) = 0 & cons(v21, v25) = v27 & cons(v19, v27) = v28 & app(v23, v28) = v17 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (duplicatefreeP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v17 & v30 = 0 & v26 = 0 & v24 = 0 & v22 = 0 & v21 = v19 & v20 = 0 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v19, v29) = v31 & cons(v19, v25) = v27 & app(v28, v31) = v17 & app(v23, v27) = v28 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (strictorderedP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v17 & v31 = 0 & v27 = 0 & v25 = 0 & v22 = 0 & v20 = 0 & ~ (v23 = 0) & lt(v19, v21) = v23 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v21, v30) = v32 & cons(v19, v26) = v28 & app(v29, v32) = v17 & app(v24, v28) = v29 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (totalorderedP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v17 & v31 = 0 & v27 = 0 & v25 = 0 & v22 = 0 & v20 = 0 & ~ (v23 = 0) & leq(v19, v21) = v23 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v21, v30) = v32 & cons(v19, v26) = v28 & app(v29, v32) = v17 & app(v24, v28) = v29 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (strictorderP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v34 = v17 & v32 = 0 & v28 = 0 & v26 = 0 & v22 = 0 & v20 = 0 & ~ (v24 = 0) & ~ (v23 = 0) & lt(v21, v19) = v24 & lt(v19, v21) = v23 & ssList(v31) = 0 & ssList(v27) = 0 & ssList(v25) = 0 & cons(v21, v31) = v33 & cons(v19, v27) = v29 & app(v30, v33) = v17 & app(v25, v29) = v30 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (totalorderP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v34 = v17 & v32 = 0 & v28 = 0 & v26 = 0 & v22 = 0 & v20 = 0 & ~ (v24 = 0) & ~ (v23 = 0) & leq(v21, v19) = v24 & leq(v19, v21) = v23 & ssList(v31) = 0 & ssList(v27) = 0 & ssList(v25) = 0 & cons(v21, v31) = v33 & cons(v19, v27) = v29 & app(v30, v33) = v17 & app(v25, v29) = v30 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (cyclefreeP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v34 = v17 & v32 = 0 & v28 = 0 & v26 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & v20 = 0 & leq(v21, v19) = 0 & leq(v19, v21) = 0 & ssList(v31) = 0 & ssList(v27) = 0 & ssList(v25) = 0 & cons(v21, v31) = v33 & cons(v19, v27) = v29 & app(v30, v33) = v17 & app(v25, v29) = v30 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (leq(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssItem(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (segmentP(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (segmentP(v17, nil) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (rearsegP(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (rearsegP(v17, nil) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (frontsegP(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (frontsegP(v17, nil) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v17 = nil | ~ (tl(v17) = v18) | ? [v19] : ? [v20] : (ssList(v18) = v20 & ssList(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : (v17 = nil | ~ (tl(v17) = v18) | ? [v19] : ? [v20] : ((v20 = 0 & v19 = v18 & ssList(v18) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v17 = nil | ~ (hd(v17) = v18) | ? [v19] : ? [v20] : (ssList(v17) = v19 & ssItem(v18) = v20 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : (v17 = nil | ~ (hd(v17) = v18) | ? [v19] : ? [v20] : ((v20 = 0 & v19 = v18 & ssItem(v18) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v17 = nil | ~ (ssList(v17) = 0) | ~ (app(v17, v18) = nil) | ? [v19] : ( ~ (v19 = 0) & ssList(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (gt(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v19] : ? [v20] : (gt(v18, v17) = v20 & ssItem(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : ( ~ (tl(v17) = v18) | ? [v19] : ? [v20] : (hd(v17) = v20 & ssList(v17) = v19 & ( ~ (v19 = 0) | ! [v21] : (v21 = v17 | v21 = nil | v17 = nil | ~ (tl(v21) = v18) | ? [v22] : ? [v23] : (hd(v21) = v23 & ssList(v21) = v22 & ( ~ (v23 = v20) | ~ (v22 = 0))))))) & ! [v17] : ! [v18] : ( ~ (lt(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v19] : ? [v20] : (lt(v18, v17) = v20 & ssItem(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : ( ~ (segmentP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v17 & v23 = 0 & v20 = 0 & ssList(v22) = 0 & ssList(v19) = 0 & app(v21, v22) = v17 & app(v19, v18) = v21) | ( ~ (v19 = 0) & ssList(v18) = v19))) & ! [v17] : ! [v18] : ( ~ (rearsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ((v21 = v17 & v20 = 0 & ssList(v19) = 0 & app(v19, v18) = v17) | ( ~ (v19 = 0) & ssList(v18) = v19))) & ! [v17] : ! [v18] : ( ~ (frontsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ((v21 = v17 & v20 = 0 & ssList(v19) = 0 & app(v18, v19) = v17) | ( ~ (v19 = 0) & ssList(v18) = v19))) & ! [v17] : ! [v18] : ( ~ (memberP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v17 & v22 = 0 & v20 = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v18, v21) = v23 & app(v19, v23) = v17) | ( ~ (v19 = 0) & ssItem(v18) = v19))) & ! [v17] : ! [v18] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = v17) | ? [v19] : ( ~ (v19 = 0) & ssItem(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = nil) | ? [v19] : ( ~ (v19 = 0) & ssItem(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (equalelemsP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (duplicatefreeP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (strictorderedP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (totalorderedP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (strictorderP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (totalorderP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (cyclefreeP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : (v17 = nil | ~ (segmentP(nil, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v17] : (v17 = nil | ~ (rearsegP(nil, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v17] : (v17 = nil | ~ (frontsegP(nil, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v17] : (v17 = nil | ~ (ssList(v17) = 0) | ? [v18] : ? [v19] : (ssList(v18) = 0 & cons(v19, v18) = v17 & ssItem(v19) = 0)) & ! [v17] : (v17 = nil | ~ (app(nil, nil) = v17)) & ! [v17] : (v17 = 0 | ~ (segmentP(nil, nil) = v17)) & ! [v17] : (v17 = 0 | ~ (rearsegP(nil, nil) = v17)) & ! [v17] : (v17 = 0 | ~ (frontsegP(nil, nil) = v17)) & ! [v17] : ( ~ (lt(v17, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v17] : ( ~ (singletonP(v17) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = v17 & v19 = 0 & cons(v18, nil) = v17 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v17] : ( ~ (memberP(nil, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v17] : ( ~ (ssList(v17) = 0) | ~ (neq(v17, v17) = 0)) & ! [v17] : ( ~ (neq(v17, v17) = 0) | ~ (ssItem(v17) = 0)) & ( ~ (v4 = 0) | (v5 = 0 & ~ (v2 = 0))) & ((v14 = v3 & v13 = 0 & v10 = 0 & v8 = v1 & v7 = 0 & ssList(v12) = 0 & ssList(v9) = 0 & cons(v6, nil) = v1 & app(v11, v12) = v3 & app(v9, v1) = v11 & ssItem(v6) = 0 & ! [v17] : ( ~ (memberP(v12, v17) = 0) | ? [v18] : ? [v19] : (lt(v17, v6) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v17] : ( ~ (memberP(v9, v17) = 0) | ? [v18] : ? [v19] : (lt(v6, v17) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) | (v3 = nil & v1 = nil))) % 24.72/7.64 | 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, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16 yields: % 24.72/7.64 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_16_16 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & segmentP(all_0_13_13, all_0_15_15) = all_0_12_12 & singletonP(all_0_15_15) = all_0_14_14 & singletonP(nil) = all_0_16_16 & ssList(all_0_13_13) = 0 & ssList(all_0_15_15) = 0 & ssList(nil) = 0 & neq(all_0_13_13, nil) = all_0_11_11 & 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] : (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) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4)))) & ! [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_12_12 = 0) | (all_0_11_11 = 0 & ~ (all_0_14_14 = 0))) & ((all_0_2_2 = all_0_13_13 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_15_15 & all_0_9_9 = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & cons(all_0_10_10, nil) = all_0_15_15 & app(all_0_5_5, all_0_4_4) = all_0_13_13 & app(all_0_7_7, all_0_15_15) = all_0_5_5 & ssItem(all_0_10_10) = 0 & ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) & ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_13_13 = nil & all_0_15_15 = nil)) % 24.72/7.68 | % 24.72/7.68 | Applying alpha-rule on (1) yields: % 24.72/7.68 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) % 24.72/7.68 | (3) ! [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))) % 24.72/7.68 | (4) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.72/7.68 | (5) ! [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))))))) % 24.72/7.68 | (6) ! [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))) % 24.72/7.68 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) % 24.72/7.68 | (8) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.72/7.68 | (9) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.72/7.68 | (10) ! [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))) % 24.72/7.69 | (11) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 24.72/7.69 | (12) ! [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))))) % 24.72/7.69 | (13) ! [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))) % 24.72/7.69 | (14) singletonP(all_0_15_15) = all_0_14_14 % 24.72/7.69 | (15) neq(all_0_13_13, nil) = all_0_11_11 % 24.72/7.69 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) % 24.72/7.69 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) % 24.72/7.69 | (18) ! [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))))) % 24.72/7.69 | (19) ! [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))) % 24.72/7.69 | (20) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.72/7.69 | (21) ! [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)))) % 24.72/7.69 | (22) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 24.72/7.69 | (23) segmentP(all_0_13_13, all_0_15_15) = all_0_12_12 % 24.72/7.69 | (24) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 24.72/7.69 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) % 24.72/7.70 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) % 24.72/7.70 | (27) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 24.72/7.70 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) % 24.72/7.70 | (29) strictorderP(nil) = 0 % 24.72/7.70 | (30) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 24.72/7.70 | (31) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 24.72/7.70 | (32) ! [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))))))) % 25.06/7.70 | (33) duplicatefreeP(nil) = 0 % 25.06/7.70 | (34) ssItem(all_0_1_1) = 0 % 25.06/7.70 | (35) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.06/7.70 | (36) ! [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))))) % 25.06/7.70 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4)))) % 25.06/7.70 | (38) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) % 25.06/7.70 | (39) ~ (all_0_12_12 = 0) | (all_0_11_11 = 0 & ~ (all_0_14_14 = 0)) % 25.06/7.70 | (40) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.06/7.70 | (41) ! [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)))) % 25.06/7.70 | (42) ! [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))) % 25.06/7.71 | (43) ! [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))))) % 25.06/7.71 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) % 25.06/7.71 | (45) ! [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))))))) % 25.06/7.71 | (46) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.06/7.71 | (47) ! [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)))) % 25.06/7.71 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) % 25.06/7.71 | (49) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.06/7.71 | (50) ! [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))) % 25.06/7.71 | (51) ! [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))) % 25.06/7.71 | (52) ! [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))) % 25.06/7.72 | (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))) % 25.06/7.72 | (54) ssList(nil) = 0 % 25.06/7.72 | (55) ! [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))) % 25.06/7.72 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) % 25.06/7.72 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) % 25.06/7.72 | (58) (all_0_2_2 = all_0_13_13 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_15_15 & all_0_9_9 = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & cons(all_0_10_10, nil) = all_0_15_15 & app(all_0_5_5, all_0_4_4) = all_0_13_13 & app(all_0_7_7, all_0_15_15) = all_0_5_5 & ssItem(all_0_10_10) = 0 & ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) & ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_13_13 = nil & all_0_15_15 = nil) % 25.06/7.72 | (59) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) % 25.06/7.72 | (60) ! [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))) % 25.06/7.72 | (61) ! [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)))))))) % 25.06/7.72 | (62) ! [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))) % 25.06/7.73 | (63) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 25.06/7.73 | (64) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.06/7.73 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) % 25.06/7.73 | (66) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) % 25.06/7.73 | (67) ! [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))) % 25.06/7.73 | (68) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.06/7.73 | (69) ! [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))) % 25.06/7.73 | (70) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) % 25.06/7.73 | (71) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.06/7.73 | (72) ! [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))))))) % 25.06/7.73 | (73) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.06/7.73 | (74) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.06/7.73 | (75) ! [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))))))) % 25.06/7.74 | (76) ! [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))) % 25.06/7.74 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) % 25.06/7.74 | (78) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.06/7.74 | (79) equalelemsP(nil) = 0 % 25.06/7.74 | (80) ! [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))) % 25.06/7.74 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 25.06/7.74 | (82) ! [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)))))))) % 25.06/7.74 | (83) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.06/7.74 | (84) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.06/7.74 | (85) totalorderedP(nil) = 0 % 25.06/7.74 | (86) ~ (all_0_16_16 = 0) % 25.06/7.74 | (87) ! [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)))))))) % 25.06/7.74 | (88) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.06/7.74 | (89) ! [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))))))) % 25.06/7.75 | (90) ! [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))) % 25.06/7.75 | (91) strictorderedP(nil) = 0 % 25.06/7.75 | (92) ! [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))) % 25.06/7.75 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 25.06/7.75 | (94) ! [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))) % 25.06/7.75 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) % 25.06/7.75 | (96) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) % 25.06/7.75 | (97) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.06/7.75 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) % 25.06/7.75 | (99) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) % 25.06/7.75 | (100) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 25.06/7.75 | (101) ! [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))))))) % 25.06/7.75 | (102) ~ (all_0_0_0 = all_0_1_1) % 25.06/7.75 | (103) ! [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))) % 25.06/7.75 | (104) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.06/7.75 | (105) ! [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))) % 25.06/7.75 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 25.06/7.75 | (107) ssList(all_0_13_13) = 0 % 25.06/7.75 | (108) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.06/7.76 | (109) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 25.06/7.76 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) % 25.06/7.76 | (111) ! [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))))) % 25.06/7.76 | (112) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) % 25.06/7.76 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) % 25.06/7.76 | (114) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) % 25.06/7.76 | (115) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) % 25.06/7.76 | (116) cyclefreeP(nil) = 0 % 25.06/7.76 | (117) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) % 25.06/7.76 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) % 25.06/7.76 | (119) ! [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))) % 25.06/7.76 | (120) ssItem(all_0_0_0) = 0 % 25.06/7.76 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 25.06/7.76 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 25.06/7.76 | (123) ! [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))) % 25.06/7.76 | (124) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 25.06/7.76 | (125) ! [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)))) % 25.06/7.76 | (126) ! [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))) % 25.06/7.76 | (127) ! [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))))) % 25.06/7.76 | (128) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 25.06/7.76 | (129) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) % 25.06/7.76 | (130) ! [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))) % 25.06/7.76 | (131) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 25.06/7.76 | (132) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.06/7.76 | (133) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 25.06/7.76 | (134) ! [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))))) % 25.06/7.76 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 25.06/7.76 | (136) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 25.06/7.76 | (137) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) % 25.06/7.77 | (138) ssList(all_0_15_15) = 0 % 25.06/7.77 | (139) ! [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))))) % 25.06/7.77 | (140) totalorderP(nil) = 0 % 25.06/7.77 | (141) ! [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))))) % 25.06/7.77 | (142) singletonP(nil) = all_0_16_16 % 25.06/7.77 | (143) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 25.06/7.77 | (144) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.06/7.77 | (145) ! [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))))) % 25.06/7.77 | (146) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 25.06/7.77 | (147) ! [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))) % 25.06/7.77 | (148) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 25.06/7.77 | (149) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.06/7.77 | % 25.06/7.77 | Instantiating formula (108) with all_0_12_12, all_0_15_15 yields: % 25.06/7.77 | (150) all_0_12_12 = 0 | ~ (segmentP(all_0_15_15, all_0_15_15) = all_0_12_12) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_15_15) = v0) % 25.06/7.77 | % 25.06/7.77 | Instantiating formula (20) with all_0_12_12, all_0_13_13 yields: % 25.06/7.77 | (151) all_0_12_12 = 0 | ~ (segmentP(all_0_13_13, nil) = all_0_12_12) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_13_13) = v0) % 25.06/7.77 | % 25.06/7.77 +-Applying beta-rule and splitting (58), into two cases. % 25.06/7.77 |-Branch one: % 25.06/7.77 | (152) all_0_2_2 = all_0_13_13 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_15_15 & all_0_9_9 = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & cons(all_0_10_10, nil) = all_0_15_15 & app(all_0_5_5, all_0_4_4) = all_0_13_13 & app(all_0_7_7, all_0_15_15) = all_0_5_5 & ssItem(all_0_10_10) = 0 & ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) & ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 25.06/7.78 | % 25.06/7.78 | Applying alpha-rule on (152) yields: % 25.06/7.78 | (153) all_0_8_8 = all_0_15_15 % 25.06/7.78 | (154) ssList(all_0_4_4) = 0 % 25.06/7.78 | (155) ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 25.06/7.78 | (156) all_0_2_2 = all_0_13_13 % 25.06/7.78 | (157) app(all_0_7_7, all_0_15_15) = all_0_5_5 % 25.06/7.78 | (158) cons(all_0_10_10, nil) = all_0_15_15 % 25.06/7.78 | (159) ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 25.06/7.78 | (160) app(all_0_5_5, all_0_4_4) = all_0_13_13 % 25.06/7.78 | (161) ssList(all_0_7_7) = 0 % 25.06/7.78 | (162) all_0_3_3 = 0 % 25.06/7.78 | (163) ssItem(all_0_10_10) = 0 % 25.06/7.78 | (164) all_0_6_6 = 0 % 25.06/7.78 | (165) all_0_9_9 = 0 % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (26) with all_0_15_15, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.78 | (166) ? [v0] : ? [v1] : (tl(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (48) with all_0_15_15, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.78 | (167) ? [v0] : ? [v1] : (hd(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10)) % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (16) with all_0_10_10, all_0_14_14, all_0_15_15 and discharging atoms singletonP(all_0_15_15) = all_0_14_14, cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.78 | (168) all_0_14_14 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(all_0_15_15) = v0) | ( ~ (v0 = 0) & ssItem(all_0_10_10) = v0)) % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (4) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.78 | (169) ? [v0] : ? [v1] : (equalelemsP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (31) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.78 | (170) ? [v0] : ? [v1] : (duplicatefreeP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (104) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.78 | (171) ? [v0] : ? [v1] : (strictorderedP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (74) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.78 | (172) ? [v0] : ? [v1] : (totalorderedP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (132) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.78 | (173) ? [v0] : ? [v1] : (strictorderP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.06/7.78 | % 25.06/7.78 | Instantiating formula (40) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.79 | (174) ? [v0] : ? [v1] : (totalorderP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.06/7.79 | % 25.06/7.79 | Instantiating formula (78) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields: % 25.06/7.79 | (175) ? [v0] : ? [v1] : (cyclefreeP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.06/7.79 | % 25.06/7.79 | Instantiating formula (119) with all_0_4_4, all_0_5_5, all_0_7_7, all_0_12_12, all_0_15_15, all_0_13_13 and discharging atoms segmentP(all_0_13_13, all_0_15_15) = all_0_12_12, ssList(all_0_13_13) = 0, app(all_0_5_5, all_0_4_4) = all_0_13_13, app(all_0_7_7, all_0_15_15) = all_0_5_5, yields: % 25.06/7.79 | (176) all_0_12_12 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | ( ~ (v0 = 0) & ssList(all_0_15_15) = v0)) % 25.06/7.79 | % 25.06/7.79 | Instantiating formula (136) with all_0_5_5, all_0_15_15, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, app(all_0_7_7, all_0_15_15) = all_0_5_5, yields: % 25.06/7.79 | (177) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssList(all_0_15_15) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.40/7.79 | % 25.40/7.79 | Instantiating (175) with all_17_0_20, all_17_1_21 yields: % 25.40/7.79 | (178) cyclefreeP(all_0_15_15) = all_17_0_20 & ssItem(all_0_10_10) = all_17_1_21 & ( ~ (all_17_1_21 = 0) | all_17_0_20 = 0) % 25.40/7.79 | % 25.40/7.79 | Applying alpha-rule on (178) yields: % 25.40/7.79 | (179) cyclefreeP(all_0_15_15) = all_17_0_20 % 25.40/7.79 | (180) ssItem(all_0_10_10) = all_17_1_21 % 25.40/7.79 | (181) ~ (all_17_1_21 = 0) | all_17_0_20 = 0 % 25.40/7.79 | % 25.40/7.79 | Instantiating (174) with all_19_0_22, all_19_1_23 yields: % 25.40/7.79 | (182) totalorderP(all_0_15_15) = all_19_0_22 & ssItem(all_0_10_10) = all_19_1_23 & ( ~ (all_19_1_23 = 0) | all_19_0_22 = 0) % 25.40/7.79 | % 25.40/7.79 | Applying alpha-rule on (182) yields: % 25.40/7.79 | (183) totalorderP(all_0_15_15) = all_19_0_22 % 25.40/7.79 | (184) ssItem(all_0_10_10) = all_19_1_23 % 25.40/7.79 | (185) ~ (all_19_1_23 = 0) | all_19_0_22 = 0 % 25.40/7.79 | % 25.40/7.79 | Instantiating (167) with all_21_0_24, all_21_1_25 yields: % 25.40/7.79 | (186) hd(all_0_15_15) = all_21_0_24 & ssItem(all_0_10_10) = all_21_1_25 & ( ~ (all_21_1_25 = 0) | all_21_0_24 = all_0_10_10) % 25.40/7.79 | % 25.40/7.79 | Applying alpha-rule on (186) yields: % 25.40/7.79 | (187) hd(all_0_15_15) = all_21_0_24 % 25.40/7.79 | (188) ssItem(all_0_10_10) = all_21_1_25 % 25.40/7.79 | (189) ~ (all_21_1_25 = 0) | all_21_0_24 = all_0_10_10 % 25.40/7.79 | % 25.40/7.79 | Instantiating (172) with all_23_0_26, all_23_1_27 yields: % 25.40/7.79 | (190) totalorderedP(all_0_15_15) = all_23_0_26 & ssItem(all_0_10_10) = all_23_1_27 & ( ~ (all_23_1_27 = 0) | all_23_0_26 = 0) % 25.40/7.79 | % 25.40/7.79 | Applying alpha-rule on (190) yields: % 25.40/7.79 | (191) totalorderedP(all_0_15_15) = all_23_0_26 % 25.40/7.79 | (192) ssItem(all_0_10_10) = all_23_1_27 % 25.40/7.79 | (193) ~ (all_23_1_27 = 0) | all_23_0_26 = 0 % 25.40/7.79 | % 25.40/7.79 | Instantiating (171) with all_25_0_28, all_25_1_29 yields: % 25.40/7.79 | (194) strictorderedP(all_0_15_15) = all_25_0_28 & ssItem(all_0_10_10) = all_25_1_29 & ( ~ (all_25_1_29 = 0) | all_25_0_28 = 0) % 25.40/7.79 | % 25.40/7.79 | Applying alpha-rule on (194) yields: % 25.40/7.79 | (195) strictorderedP(all_0_15_15) = all_25_0_28 % 25.40/7.79 | (196) ssItem(all_0_10_10) = all_25_1_29 % 25.40/7.79 | (197) ~ (all_25_1_29 = 0) | all_25_0_28 = 0 % 25.40/7.79 | % 25.40/7.79 | Instantiating (177) with all_27_0_30, all_27_1_31 yields: % 25.40/7.79 | (198) ssList(all_0_5_5) = all_27_0_30 & ssList(all_0_15_15) = all_27_1_31 & ( ~ (all_27_1_31 = 0) | all_27_0_30 = 0) % 25.40/7.79 | % 25.40/7.79 | Applying alpha-rule on (198) yields: % 25.40/7.79 | (199) ssList(all_0_5_5) = all_27_0_30 % 25.40/7.79 | (200) ssList(all_0_15_15) = all_27_1_31 % 25.40/7.79 | (201) ~ (all_27_1_31 = 0) | all_27_0_30 = 0 % 25.40/7.79 | % 25.40/7.79 | Instantiating (170) with all_29_0_32, all_29_1_33 yields: % 25.40/7.80 | (202) duplicatefreeP(all_0_15_15) = all_29_0_32 & ssItem(all_0_10_10) = all_29_1_33 & ( ~ (all_29_1_33 = 0) | all_29_0_32 = 0) % 25.40/7.80 | % 25.40/7.80 | Applying alpha-rule on (202) yields: % 25.40/7.80 | (203) duplicatefreeP(all_0_15_15) = all_29_0_32 % 25.40/7.80 | (204) ssItem(all_0_10_10) = all_29_1_33 % 25.40/7.80 | (205) ~ (all_29_1_33 = 0) | all_29_0_32 = 0 % 25.40/7.80 | % 25.40/7.80 | Instantiating (169) with all_31_0_34, all_31_1_35 yields: % 25.40/7.80 | (206) equalelemsP(all_0_15_15) = all_31_0_34 & ssItem(all_0_10_10) = all_31_1_35 & ( ~ (all_31_1_35 = 0) | all_31_0_34 = 0) % 25.40/7.80 | % 25.40/7.80 | Applying alpha-rule on (206) yields: % 25.40/7.80 | (207) equalelemsP(all_0_15_15) = all_31_0_34 % 25.40/7.80 | (208) ssItem(all_0_10_10) = all_31_1_35 % 25.40/7.80 | (209) ~ (all_31_1_35 = 0) | all_31_0_34 = 0 % 25.40/7.80 | % 25.40/7.80 | Instantiating (166) with all_33_0_36, all_33_1_37 yields: % 25.40/7.80 | (210) tl(all_0_15_15) = all_33_0_36 & ssItem(all_0_10_10) = all_33_1_37 & ( ~ (all_33_1_37 = 0) | all_33_0_36 = nil) % 25.40/7.80 | % 25.40/7.80 | Applying alpha-rule on (210) yields: % 25.40/7.80 | (211) tl(all_0_15_15) = all_33_0_36 % 25.40/7.80 | (212) ssItem(all_0_10_10) = all_33_1_37 % 25.40/7.80 | (213) ~ (all_33_1_37 = 0) | all_33_0_36 = nil % 25.40/7.80 | % 25.40/7.80 | Instantiating (173) with all_35_0_38, all_35_1_39 yields: % 25.40/7.80 | (214) strictorderP(all_0_15_15) = all_35_0_38 & ssItem(all_0_10_10) = all_35_1_39 & ( ~ (all_35_1_39 = 0) | all_35_0_38 = 0) % 25.40/7.80 | % 25.40/7.80 | Applying alpha-rule on (214) yields: % 25.40/7.80 | (215) strictorderP(all_0_15_15) = all_35_0_38 % 25.40/7.80 | (216) ssItem(all_0_10_10) = all_35_1_39 % 25.40/7.80 | (217) ~ (all_35_1_39 = 0) | all_35_0_38 = 0 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (148) with all_0_15_15, all_27_1_31, 0 and discharging atoms ssList(all_0_15_15) = all_27_1_31, ssList(all_0_15_15) = 0, yields: % 25.40/7.80 | (218) all_27_1_31 = 0 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_33_1_37, 0 and discharging atoms ssItem(all_0_10_10) = all_33_1_37, ssItem(all_0_10_10) = 0, yields: % 25.40/7.80 | (219) all_33_1_37 = 0 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_31_1_35, all_35_1_39 and discharging atoms ssItem(all_0_10_10) = all_35_1_39, ssItem(all_0_10_10) = all_31_1_35, yields: % 25.40/7.80 | (220) all_35_1_39 = all_31_1_35 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_25_1_29, all_35_1_39 and discharging atoms ssItem(all_0_10_10) = all_35_1_39, ssItem(all_0_10_10) = all_25_1_29, yields: % 25.40/7.80 | (221) all_35_1_39 = all_25_1_29 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_25_1_29, all_29_1_33 and discharging atoms ssItem(all_0_10_10) = all_29_1_33, ssItem(all_0_10_10) = all_25_1_29, yields: % 25.40/7.80 | (222) all_29_1_33 = all_25_1_29 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_23_1_27, all_35_1_39 and discharging atoms ssItem(all_0_10_10) = all_35_1_39, ssItem(all_0_10_10) = all_23_1_27, yields: % 25.40/7.80 | (223) all_35_1_39 = all_23_1_27 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_21_1_25, all_29_1_33 and discharging atoms ssItem(all_0_10_10) = all_29_1_33, ssItem(all_0_10_10) = all_21_1_25, yields: % 25.40/7.80 | (224) all_29_1_33 = all_21_1_25 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_19_1_23, all_35_1_39 and discharging atoms ssItem(all_0_10_10) = all_35_1_39, ssItem(all_0_10_10) = all_19_1_23, yields: % 25.40/7.80 | (225) all_35_1_39 = all_19_1_23 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_19_1_23, all_33_1_37 and discharging atoms ssItem(all_0_10_10) = all_33_1_37, ssItem(all_0_10_10) = all_19_1_23, yields: % 25.40/7.80 | (226) all_33_1_37 = all_19_1_23 % 25.40/7.80 | % 25.40/7.80 | Instantiating formula (81) with all_0_10_10, all_17_1_21, all_31_1_35 and discharging atoms ssItem(all_0_10_10) = all_31_1_35, ssItem(all_0_10_10) = all_17_1_21, yields: % 25.40/7.80 | (227) all_31_1_35 = all_17_1_21 % 25.40/7.80 | % 25.40/7.80 | Combining equations (221,223) yields a new equation: % 25.40/7.80 | (228) all_25_1_29 = all_23_1_27 % 25.40/7.80 | % 25.40/7.80 | Simplifying 228 yields: % 25.40/7.80 | (229) all_25_1_29 = all_23_1_27 % 25.40/7.80 | % 25.40/7.80 | Combining equations (225,223) yields a new equation: % 25.40/7.80 | (230) all_23_1_27 = all_19_1_23 % 25.40/7.80 | % 25.40/7.80 | Combining equations (220,223) yields a new equation: % 25.40/7.80 | (231) all_31_1_35 = all_23_1_27 % 25.40/7.81 | % 25.40/7.81 | Simplifying 231 yields: % 25.40/7.81 | (232) all_31_1_35 = all_23_1_27 % 25.40/7.81 | % 25.40/7.81 | Combining equations (226,219) yields a new equation: % 25.40/7.81 | (233) all_19_1_23 = 0 % 25.40/7.81 | % 25.40/7.81 | Simplifying 233 yields: % 25.40/7.81 | (234) all_19_1_23 = 0 % 25.40/7.81 | % 25.40/7.81 | Combining equations (232,227) yields a new equation: % 25.40/7.81 | (235) all_23_1_27 = all_17_1_21 % 25.40/7.81 | % 25.40/7.81 | Simplifying 235 yields: % 25.40/7.81 | (236) all_23_1_27 = all_17_1_21 % 25.40/7.81 | % 25.40/7.81 | Combining equations (222,224) yields a new equation: % 25.40/7.81 | (237) all_25_1_29 = all_21_1_25 % 25.40/7.81 | % 25.40/7.81 | Simplifying 237 yields: % 25.40/7.81 | (238) all_25_1_29 = all_21_1_25 % 25.40/7.81 | % 25.40/7.81 | Combining equations (229,238) yields a new equation: % 25.40/7.81 | (239) all_23_1_27 = all_21_1_25 % 25.40/7.81 | % 25.40/7.81 | Simplifying 239 yields: % 25.40/7.81 | (240) all_23_1_27 = all_21_1_25 % 25.40/7.81 | % 25.40/7.81 | Combining equations (230,240) yields a new equation: % 25.40/7.81 | (241) all_21_1_25 = all_19_1_23 % 25.40/7.81 | % 25.40/7.81 | Combining equations (236,240) yields a new equation: % 25.40/7.81 | (242) all_21_1_25 = all_17_1_21 % 25.40/7.81 | % 25.40/7.81 | Combining equations (241,242) yields a new equation: % 25.40/7.81 | (243) all_19_1_23 = all_17_1_21 % 25.40/7.81 | % 25.40/7.81 | Simplifying 243 yields: % 25.40/7.81 | (244) all_19_1_23 = all_17_1_21 % 25.40/7.81 | % 25.40/7.81 | Combining equations (234,244) yields a new equation: % 25.40/7.81 | (245) all_17_1_21 = 0 % 25.40/7.81 | % 25.40/7.81 | From (218) and (200) follows: % 25.40/7.81 | (138) ssList(all_0_15_15) = 0 % 25.40/7.81 | % 25.40/7.81 | From (245) and (180) follows: % 25.40/7.81 | (163) ssItem(all_0_10_10) = 0 % 25.40/7.81 | % 25.40/7.81 +-Applying beta-rule and splitting (168), into two cases. % 25.40/7.81 |-Branch one: % 25.40/7.81 | (248) all_0_14_14 = 0 % 25.40/7.81 | % 25.40/7.81 +-Applying beta-rule and splitting (39), into two cases. % 25.40/7.81 |-Branch one: % 25.40/7.81 | (249) ~ (all_0_12_12 = 0) % 25.40/7.81 | % 25.40/7.81 +-Applying beta-rule and splitting (176), into two cases. % 25.40/7.81 |-Branch one: % 25.40/7.81 | (250) all_0_12_12 = 0 % 25.40/7.81 | % 25.40/7.81 | Equations (250) can reduce 249 to: % 25.40/7.81 | (251) $false % 25.40/7.81 | % 25.40/7.81 |-The branch is then unsatisfiable % 25.40/7.81 |-Branch two: % 25.40/7.81 | (249) ~ (all_0_12_12 = 0) % 25.40/7.81 | (253) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | ( ~ (v0 = 0) & ssList(all_0_15_15) = v0)) % 25.40/7.81 | % 25.40/7.81 | Instantiating (253) with all_77_0_40 yields: % 25.40/7.81 | (254) ( ~ (all_77_0_40 = 0) & ssList(all_0_4_4) = all_77_0_40) | ( ~ (all_77_0_40 = 0) & ssList(all_0_7_7) = all_77_0_40) | ( ~ (all_77_0_40 = 0) & ssList(all_0_15_15) = all_77_0_40) % 25.40/7.81 | % 25.40/7.81 +-Applying beta-rule and splitting (254), into two cases. % 25.40/7.81 |-Branch one: % 25.40/7.81 | (255) ( ~ (all_77_0_40 = 0) & ssList(all_0_4_4) = all_77_0_40) | ( ~ (all_77_0_40 = 0) & ssList(all_0_7_7) = all_77_0_40) % 25.40/7.81 | % 25.40/7.81 +-Applying beta-rule and splitting (255), into two cases. % 25.40/7.81 |-Branch one: % 25.40/7.81 | (256) ~ (all_77_0_40 = 0) & ssList(all_0_4_4) = all_77_0_40 % 25.40/7.81 | % 25.40/7.81 | Applying alpha-rule on (256) yields: % 25.40/7.81 | (257) ~ (all_77_0_40 = 0) % 25.40/7.81 | (258) ssList(all_0_4_4) = all_77_0_40 % 25.40/7.81 | % 25.40/7.81 | Instantiating formula (148) with all_0_4_4, all_77_0_40, 0 and discharging atoms ssList(all_0_4_4) = all_77_0_40, ssList(all_0_4_4) = 0, yields: % 25.40/7.82 | (259) all_77_0_40 = 0 % 25.40/7.82 | % 25.40/7.82 | Equations (259) can reduce 257 to: % 25.40/7.82 | (251) $false % 25.40/7.82 | % 25.40/7.82 |-The branch is then unsatisfiable % 25.40/7.82 |-Branch two: % 25.40/7.82 | (261) ~ (all_77_0_40 = 0) & ssList(all_0_7_7) = all_77_0_40 % 25.40/7.82 | % 25.40/7.82 | Applying alpha-rule on (261) yields: % 25.40/7.82 | (257) ~ (all_77_0_40 = 0) % 25.40/7.82 | (263) ssList(all_0_7_7) = all_77_0_40 % 25.40/7.82 | % 25.40/7.82 | Instantiating formula (148) with all_0_7_7, all_77_0_40, 0 and discharging atoms ssList(all_0_7_7) = all_77_0_40, ssList(all_0_7_7) = 0, yields: % 25.40/7.82 | (259) all_77_0_40 = 0 % 25.40/7.82 | % 25.40/7.82 | Equations (259) can reduce 257 to: % 25.40/7.82 | (251) $false % 25.40/7.82 | % 25.40/7.82 |-The branch is then unsatisfiable % 25.40/7.82 |-Branch two: % 25.40/7.82 | (266) ~ (all_77_0_40 = 0) & ssList(all_0_15_15) = all_77_0_40 % 25.40/7.82 | % 25.40/7.82 | Applying alpha-rule on (266) yields: % 25.40/7.82 | (257) ~ (all_77_0_40 = 0) % 25.40/7.82 | (268) ssList(all_0_15_15) = all_77_0_40 % 25.40/7.82 | % 25.40/7.82 | Instantiating formula (148) with all_0_15_15, all_77_0_40, 0 and discharging atoms ssList(all_0_15_15) = all_77_0_40, ssList(all_0_15_15) = 0, yields: % 25.40/7.82 | (259) all_77_0_40 = 0 % 25.40/7.82 | % 25.40/7.82 | Equations (259) can reduce 257 to: % 25.40/7.82 | (251) $false % 25.40/7.82 | % 25.40/7.82 |-The branch is then unsatisfiable % 25.40/7.82 |-Branch two: % 25.40/7.82 | (250) all_0_12_12 = 0 % 25.40/7.82 | (272) all_0_11_11 = 0 & ~ (all_0_14_14 = 0) % 25.40/7.82 | % 25.40/7.82 | Applying alpha-rule on (272) yields: % 25.40/7.82 | (273) all_0_11_11 = 0 % 25.40/7.82 | (274) ~ (all_0_14_14 = 0) % 25.40/7.82 | % 25.40/7.82 | Equations (248) can reduce 274 to: % 25.40/7.82 | (251) $false % 25.40/7.82 | % 25.40/7.82 |-The branch is then unsatisfiable % 25.40/7.82 |-Branch two: % 25.40/7.82 | (274) ~ (all_0_14_14 = 0) % 25.40/7.82 | (277) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_15_15) = v0) | ( ~ (v0 = 0) & ssItem(all_0_10_10) = v0)) % 25.40/7.82 | % 25.40/7.82 | Instantiating (277) with all_65_0_44 yields: % 25.40/7.82 | (278) ( ~ (all_65_0_44 = 0) & ssList(all_0_15_15) = all_65_0_44) | ( ~ (all_65_0_44 = 0) & ssItem(all_0_10_10) = all_65_0_44) % 25.40/7.82 | % 25.40/7.82 +-Applying beta-rule and splitting (278), into two cases. % 25.40/7.82 |-Branch one: % 25.40/7.82 | (279) ~ (all_65_0_44 = 0) & ssList(all_0_15_15) = all_65_0_44 % 25.40/7.82 | % 25.40/7.82 | Applying alpha-rule on (279) yields: % 25.40/7.82 | (280) ~ (all_65_0_44 = 0) % 25.40/7.82 | (281) ssList(all_0_15_15) = all_65_0_44 % 25.40/7.82 | % 25.40/7.82 | Instantiating formula (148) with all_0_15_15, all_65_0_44, 0 and discharging atoms ssList(all_0_15_15) = all_65_0_44, ssList(all_0_15_15) = 0, yields: % 25.40/7.82 | (282) all_65_0_44 = 0 % 25.40/7.82 | % 25.40/7.82 | Equations (282) can reduce 280 to: % 25.40/7.82 | (251) $false % 25.40/7.82 | % 25.40/7.82 |-The branch is then unsatisfiable % 25.40/7.82 |-Branch two: % 25.40/7.82 | (284) ~ (all_65_0_44 = 0) & ssItem(all_0_10_10) = all_65_0_44 % 25.40/7.82 | % 25.40/7.82 | Applying alpha-rule on (284) yields: % 25.40/7.82 | (280) ~ (all_65_0_44 = 0) % 25.40/7.82 | (286) ssItem(all_0_10_10) = all_65_0_44 % 25.40/7.82 | % 25.40/7.82 | Instantiating formula (81) with all_0_10_10, all_65_0_44, 0 and discharging atoms ssItem(all_0_10_10) = all_65_0_44, ssItem(all_0_10_10) = 0, yields: % 25.40/7.82 | (282) all_65_0_44 = 0 % 25.40/7.82 | % 25.40/7.82 | Equations (282) can reduce 280 to: % 25.40/7.82 | (251) $false % 25.40/7.82 | % 25.40/7.82 |-The branch is then unsatisfiable % 25.40/7.82 |-Branch two: % 25.40/7.82 | (289) all_0_13_13 = nil & all_0_15_15 = nil % 25.40/7.82 | % 25.40/7.82 | Applying alpha-rule on (289) yields: % 25.40/7.83 | (290) all_0_13_13 = nil % 25.40/7.83 | (291) all_0_15_15 = nil % 25.40/7.83 | % 25.40/7.83 | From (290)(291) and (23) follows: % 25.40/7.83 | (292) segmentP(nil, nil) = all_0_12_12 % 25.40/7.83 | % 25.40/7.83 | From (291) and (138) follows: % 25.40/7.83 | (54) ssList(nil) = 0 % 25.40/7.83 | % 25.40/7.83 | From (290) and (15) follows: % 25.40/7.83 | (294) neq(nil, nil) = all_0_11_11 % 25.40/7.83 | % 25.40/7.83 +-Applying beta-rule and splitting (151), into two cases. % 25.40/7.83 |-Branch one: % 25.40/7.83 | (295) ~ (segmentP(all_0_13_13, nil) = all_0_12_12) % 25.40/7.83 | % 25.40/7.83 | From (290) and (295) follows: % 25.40/7.83 | (296) ~ (segmentP(nil, nil) = all_0_12_12) % 25.40/7.83 | % 25.40/7.83 | Using (292) and (296) yields: % 25.40/7.83 | (297) $false % 25.40/7.83 | % 25.40/7.83 |-The branch is then unsatisfiable % 25.40/7.83 |-Branch two: % 25.40/7.83 | (298) segmentP(all_0_13_13, nil) = all_0_12_12 % 25.40/7.83 | (299) all_0_12_12 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_13_13) = v0) % 25.40/7.83 | % 25.40/7.83 | From (290) and (298) follows: % 25.40/7.83 | (292) segmentP(nil, nil) = all_0_12_12 % 25.40/7.83 | % 25.40/7.83 +-Applying beta-rule and splitting (150), into two cases. % 25.40/7.83 |-Branch one: % 25.40/7.83 | (301) ~ (segmentP(all_0_15_15, all_0_15_15) = all_0_12_12) % 25.40/7.83 | % 25.40/7.83 | From (291)(291) and (301) follows: % 25.40/7.83 | (296) ~ (segmentP(nil, nil) = all_0_12_12) % 25.40/7.83 | % 25.40/7.83 | Using (292) and (296) yields: % 25.40/7.83 | (297) $false % 25.40/7.83 | % 25.40/7.83 |-The branch is then unsatisfiable % 25.40/7.83 |-Branch two: % 25.40/7.83 | (304) segmentP(all_0_15_15, all_0_15_15) = all_0_12_12 % 25.40/7.83 | (305) all_0_12_12 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_15_15) = v0) % 25.40/7.83 | % 25.40/7.83 | From (291)(291) and (304) follows: % 25.40/7.83 | (292) segmentP(nil, nil) = all_0_12_12 % 25.40/7.83 | % 25.40/7.83 +-Applying beta-rule and splitting (299), into two cases. % 25.40/7.83 |-Branch one: % 25.40/7.83 | (250) all_0_12_12 = 0 % 25.40/7.83 | % 25.40/7.83 +-Applying beta-rule and splitting (39), into two cases. % 25.40/7.83 |-Branch one: % 25.40/7.83 | (249) ~ (all_0_12_12 = 0) % 25.40/7.83 | % 25.40/7.83 | Equations (250) can reduce 249 to: % 25.40/7.83 | (251) $false % 25.40/7.83 | % 25.40/7.83 |-The branch is then unsatisfiable % 25.40/7.83 |-Branch two: % 25.40/7.83 | (250) all_0_12_12 = 0 % 25.40/7.83 | (272) all_0_11_11 = 0 & ~ (all_0_14_14 = 0) % 25.40/7.83 | % 25.40/7.83 | Applying alpha-rule on (272) yields: % 25.40/7.83 | (273) all_0_11_11 = 0 % 25.40/7.83 | (274) ~ (all_0_14_14 = 0) % 25.40/7.83 | % 25.40/7.83 | From (273) and (294) follows: % 25.40/7.83 | (314) neq(nil, nil) = 0 % 25.40/7.83 | % 25.40/7.83 | Instantiating formula (96) with nil and discharging atoms ssList(nil) = 0, neq(nil, nil) = 0, yields: % 25.40/7.84 | (297) $false % 25.40/7.84 | % 25.40/7.84 |-The branch is then unsatisfiable % 25.40/7.84 |-Branch two: % 25.40/7.84 | (249) ~ (all_0_12_12 = 0) % 25.40/7.84 | (317) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_13_13) = v0) % 25.40/7.84 | % 25.40/7.84 | Instantiating formula (112) with all_0_12_12 and discharging atoms segmentP(nil, nil) = all_0_12_12, yields: % 25.40/7.84 | (250) all_0_12_12 = 0 % 25.40/7.84 | % 25.40/7.84 | Equations (250) can reduce 249 to: % 25.40/7.84 | (251) $false % 25.40/7.84 | % 25.40/7.84 |-The branch is then unsatisfiable % 25.40/7.84 % SZS output end Proof for theBenchmark % 25.40/7.84 % 25.40/7.84 7235ms %------------------------------------------------------------------------------