%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWC259+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n021.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 20:17:07 EDT 2022 % Result : Theorem 19.49s 6.50s % Output : Proof 26.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC259+1 : TPTP v8.1.0. Released v2.4.0. % 0.12/0.14 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.35 % Computer : n021.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sat Jun 11 23:58:10 EDT 2022 % 0.14/0.35 % CPUTime : % 0.55/0.60 ____ _ % 0.55/0.60 ___ / __ \_____(_)___ ________ __________ % 0.55/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.55/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.55/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.55/0.61 % 0.55/0.61 A Theorem Prover for First-Order Logic % 0.55/0.61 (ePrincess v.1.0) % 0.55/0.61 % 0.55/0.61 (c) Philipp Rümmer, 2009-2015 % 0.55/0.61 (c) Peter Backeman, 2014-2015 % 0.55/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.55/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.55/0.61 Bug reports to peter@backeman.se % 0.55/0.61 % 0.55/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.55/0.61 % 0.55/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.73/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.49/1.10 Prover 0: Preprocessing ... % 5.31/1.82 Prover 0: Constructing countermodel ... % 17.29/5.95 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 18.15/6.13 Prover 1: Preprocessing ... % 19.38/6.40 Prover 1: Constructing countermodel ... % 19.49/6.49 Prover 1: proved (541ms) % 19.49/6.49 Prover 0: stopped % 19.49/6.50 % 19.49/6.50 No countermodel exists, formula is valid % 19.49/6.50 % SZS status Theorem for theBenchmark % 19.49/6.50 % 19.49/6.50 Generating proof ... found it (size 78) % 25.21/7.76 % 25.21/7.76 % SZS output start Proof for theBenchmark % 25.21/7.76 Assumed formulas after preprocessing and simplification: % 25.21/7.76 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ( ~ (v14 = v13) & ~ (v2 = 0) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(v1) = v2 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v3) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & ssItem(v14) = 0 & ssItem(v13) = 0 & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v18 = 0 | ~ (strictorderedP(v15) = 0) | ~ (lt(v16, v17) = v18) | ~ (ssList(v19) = 0) | ~ (cons(v17, v23) = v24) | ~ (cons(v16, v20) = v21) | ~ (app(v22, v24) = v15) | ~ (app(v19, v21) = v22) | ~ (ssItem(v16) = 0) | ? [v25] : (( ~ (v25 = 0) & ssList(v23) = v25) | ( ~ (v25 = 0) & ssList(v20) = v25) | ( ~ (v25 = 0) & ssList(v15) = v25) | ( ~ (v25 = 0) & ssItem(v17) = v25))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v18 = 0 | ~ (totalorderedP(v15) = 0) | ~ (leq(v16, v17) = v18) | ~ (ssList(v19) = 0) | ~ (cons(v17, v23) = v24) | ~ (cons(v16, v20) = v21) | ~ (app(v22, v24) = v15) | ~ (app(v19, v21) = v22) | ~ (ssItem(v16) = 0) | ? [v25] : (( ~ (v25 = 0) & ssList(v23) = v25) | ( ~ (v25 = 0) & ssList(v20) = v25) | ( ~ (v25 = 0) & ssList(v15) = v25) | ( ~ (v25 = 0) & ssItem(v17) = v25))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (duplicatefreeP(v15) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v16, v21) = v22) | ~ (cons(v16, v18) = v19) | ~ (app(v20, v22) = v15) | ~ (app(v17, v19) = v20) | ~ (ssItem(v16) = 0) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23) | ( ~ (v23 = 0) & ssList(v15) = v23))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (segmentP(v20, v16) = v21) | ~ (segmentP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ~ (app(v18, v19) = v20) | ~ (app(v17, v15) = v18) | ? [v22] : (( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v16) = v22))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v17 = v16 | ~ (equalelemsP(v15) = 0) | ~ (ssList(v18) = 0) | ~ (cons(v17, v19) = v20) | ~ (cons(v16, v20) = v21) | ~ (app(v18, v21) = v15) | ~ (ssItem(v17) = 0) | ~ (ssItem(v16) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v15) = v22))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (frontsegP(v18, v20) = v21) | ~ (cons(v16, v19) = v20) | ~ (cons(v15, v17) = v18) | ~ (ssItem(v16) = 0) | ~ (ssItem(v15) = 0) | ? [v22] : ? [v23] : (( ~ (v22 = 0) & ssList(v17) = v22) | (frontsegP(v17, v19) = v23 & ssList(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = 0) | ~ (v16 = v15) | v21 = 0) & ( ~ (v21 = 0) | (v23 = 0 & v16 = v15))))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = 0 | ~ (segmentP(v15, v16) = v17) | ~ (ssList(v15) = 0) | ~ (app(v19, v20) = v15) | ~ (app(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = 0 | ~ (memberP(v15, v16) = v17) | ~ (ssList(v18) = 0) | ~ (ssList(v15) = 0) | ~ (cons(v16, v19) = v20) | ~ (app(v18, v20) = v15) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssItem(v16) = v21))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (memberP(v19, v15) = v20) | ~ (memberP(v16, v15) = v17) | ~ (app(v16, v18) = v19) | ~ (ssItem(v15) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v16) = v21) | (memberP(v18, v15) = v22 & ssList(v18) = v21 & ( ~ (v21 = 0) | (( ~ (v20 = 0) | v22 = 0 | v17 = 0) & (v20 = 0 | ( ~ (v22 = 0) & ~ (v17 = 0)))))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v17 | ~ (ssList(v16) = 0) | ~ (ssList(v15) = 0) | ~ (cons(v19, v16) = v18) | ~ (cons(v17, v15) = v18) | ? [v20] : (( ~ (v20 = 0) & ssItem(v19) = v20) | ( ~ (v20 = 0) & ssItem(v17) = v20))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (rearsegP(v18, v16) = v19) | ~ (rearsegP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ~ (app(v17, v15) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v17) = v20) | ( ~ (v20 = 0) & ssList(v16) = v20))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (frontsegP(v18, v16) = v19) | ~ (frontsegP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ~ (app(v15, v17) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v17) = v20) | ( ~ (v20 = 0) & ssList(v16) = v20))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = v15 | ~ (ssList(v16) = 0) | ~ (ssList(v15) = 0) | ~ (cons(v19, v16) = v18) | ~ (cons(v17, v15) = v18) | ? [v20] : (( ~ (v20 = 0) & ssItem(v19) = v20) | ( ~ (v20 = 0) & ssItem(v17) = v20))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (memberP(v18, v15) = v19) | ~ (cons(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ~ (ssItem(v15) = 0) | ? [v20] : ? [v21] : (memberP(v17, v15) = v21 & ssList(v17) = v20 & ( ~ (v20 = 0) | (( ~ (v19 = 0) | v21 = 0 | v16 = v15) & (v19 = 0 | ( ~ (v21 = 0) & ~ (v16 = v15))))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v15) = 0) | ~ (cons(v18, v17) = v19) | ~ (app(v16, v15) = v17) | ? [v20] : ? [v21] : ? [v22] : (( ~ (v20 = 0) & ssList(v16) = v20) | (cons(v18, v16) = v21 & app(v21, v15) = v22 & ssItem(v18) = v20 & ( ~ (v20 = 0) | v22 = v19)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v15) = 0) | ~ (app(v17, v18) = v19) | ~ (app(v15, v16) = v17) | ? [v20] : ? [v21] : ? [v22] : (( ~ (v20 = 0) & ssList(v16) = v20) | (ssList(v18) = v20 & app(v16, v18) = v21 & app(v15, v21) = v22 & ( ~ (v20 = 0) | v22 = v19)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v15 | v15 = nil | ~ (tl(v15) = v17) | ~ (hd(v15) = v16) | ~ (cons(v16, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v15) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v15 | ~ (ssList(v15) = 0) | ~ (app(v18, v16) = v17) | ~ (app(v15, v16) = v17) | ? [v19] : (( ~ (v19 = 0) & ssList(v18) = v19) | ( ~ (v19 = 0) & ssList(v16) = v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v15 | ~ (ssList(v15) = 0) | ~ (app(v16, v18) = v17) | ~ (app(v16, v15) = v17) | ? [v19] : (( ~ (v19 = 0) & ssList(v18) = v19) | ( ~ (v19 = 0) & ssList(v16) = v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (gt(v15, v17) = v18) | ~ (gt(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssItem(v16) = v19) | (gt(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (geq(v15, v17) = v18) | ~ (geq(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssItem(v16) = v19) | (geq(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (lt(v15, v17) = v18) | ~ (lt(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssItem(v16) = v19) | (lt(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (lt(v15, v17) = v18) | ~ (leq(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssItem(v16) = v19) | (lt(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (leq(v15, v17) = v18) | ~ (leq(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssItem(v16) = v19) | (leq(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (segmentP(v15, v17) = v18) | ~ (segmentP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v16) = v19) | (segmentP(v16, v17) = v20 & ssList(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (rearsegP(v15, v17) = v18) | ~ (rearsegP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v16) = v19) | (rearsegP(v16, v17) = v20 & ssList(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (frontsegP(v15, v17) = v18) | ~ (frontsegP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v16) = v19) | (frontsegP(v16, v17) = v20 & ssList(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (rearsegP(v15, v16) = v17) | ~ (ssList(v15) = 0) | ~ (app(v18, v16) = v15) | ? [v19] : (( ~ (v19 = 0) & ssList(v18) = v19) | ( ~ (v19 = 0) & ssList(v16) = v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (frontsegP(v15, v16) = v17) | ~ (ssList(v15) = 0) | ~ (app(v16, v18) = v15) | ? [v19] : (( ~ (v19 = 0) & ssList(v18) = v19) | ( ~ (v19 = 0) & ssList(v16) = v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (gt(v18, v17) = v16) | ~ (gt(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (geq(v18, v17) = v16) | ~ (geq(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (lt(v18, v17) = v16) | ~ (lt(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (leq(v18, v17) = v16) | ~ (leq(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (segmentP(v18, v17) = v16) | ~ (segmentP(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (rearsegP(v18, v17) = v16) | ~ (rearsegP(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (frontsegP(v18, v17) = v16) | ~ (frontsegP(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (memberP(v18, v17) = v16) | ~ (memberP(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (cons(v18, v17) = v16) | ~ (cons(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (app(v18, v17) = v16) | ~ (app(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (neq(v18, v17) = v16) | ~ (neq(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = nil | ~ (tl(v15) = v16) | ~ (app(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (( ~ (v19 = 0) & ssList(v15) = v19) | (tl(v20) = v21 & ssList(v17) = v19 & app(v15, v17) = v20 & ( ~ (v19 = 0) | v21 = v18)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = nil | ~ (hd(v15) = v16) | ~ (app(v15, v17) = v18) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v15) = v19) | (hd(v18) = v20 & ssList(v17) = v19 & ( ~ (v19 = 0) | v20 = v16)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (hd(v16) = v17) | ~ (lt(v15, v17) = v18) | ~ (ssItem(v15) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (strictorderedP(v20) = v21 & strictorderedP(v16) = v22 & ssList(v16) = v19 & cons(v15, v16) = v20 & ( ~ (v19 = 0) | (( ~ (v21 = 0) | v16 = nil | (v22 = 0 & v18 = 0)) & (v21 = 0 | ( ~ (v16 = nil) & ( ~ (v22 = 0) | ~ (v18 = 0)))))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (hd(v16) = v17) | ~ (leq(v15, v17) = v18) | ~ (ssItem(v15) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (totalorderedP(v20) = v21 & totalorderedP(v16) = v22 & ssList(v16) = v19 & cons(v15, v16) = v20 & ( ~ (v19 = 0) | (( ~ (v21 = 0) | v16 = nil | (v22 = 0 & v18 = 0)) & (v21 = 0 | ( ~ (v16 = nil) & ( ~ (v22 = 0) | ~ (v18 = 0)))))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (strictorderP(v15) = 0) | ~ (lt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v15) = v19) | (lt(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v20 = 0 | v18 = 0 | ~ (ssList(v21) = 0) | ~ (cons(v17, v25) = v26) | ~ (cons(v16, v22) = v23) | ~ (app(v24, v26) = v15) | ~ (app(v21, v23) = v24) | ? [v27] : (( ~ (v27 = 0) & ssList(v25) = v27) | ( ~ (v27 = 0) & ssList(v22) = v27))))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (totalorderP(v15) = 0) | ~ (leq(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v15) = v19) | (leq(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v20 = 0 | v18 = 0 | ~ (ssList(v21) = 0) | ~ (cons(v17, v25) = v26) | ~ (cons(v16, v22) = v23) | ~ (app(v24, v26) = v15) | ~ (app(v21, v23) = v24) | ? [v27] : (( ~ (v27 = 0) & ssList(v25) = v27) | ( ~ (v27 = 0) & ssList(v22) = v27))))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (cyclefreeP(v15) = 0) | ~ (leq(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v15) = v19) | (leq(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (v20 = 0) | ~ (v18 = 0) | ~ (ssList(v21) = 0) | ~ (cons(v17, v25) = v26) | ~ (cons(v16, v22) = v23) | ~ (app(v24, v26) = v15) | ~ (app(v21, v23) = v24) | ? [v27] : (( ~ (v27 = 0) & ssList(v25) = v27) | ( ~ (v27 = 0) & ssList(v22) = v27))))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v15) = 0) | ~ (cons(v16, nil) = v17) | ~ (app(v17, v15) = v18) | ? [v19] : ? [v20] : (cons(v16, v15) = v20 & ssItem(v16) = v19 & ( ~ (v19 = 0) | v20 = v18))) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | v16 = v15 | ~ (lt(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (leq(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | v16 = v15 | ~ (ssList(v15) = 0) | ~ (neq(v15, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | v16 = v15 | ~ (neq(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ( ~ (v18 = 0) & ssItem(v16) = v18)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (tl(v17) = v16) | ~ (tl(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (hd(v17) = v16) | ~ (hd(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (equalelemsP(v17) = v16) | ~ (equalelemsP(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (duplicatefreeP(v17) = v16) | ~ (duplicatefreeP(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (strictorderedP(v17) = v16) | ~ (strictorderedP(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (totalorderedP(v17) = v16) | ~ (totalorderedP(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (strictorderP(v17) = v16) | ~ (strictorderP(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (totalorderP(v17) = v16) | ~ (totalorderP(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (cyclefreeP(v17) = v16) | ~ (cyclefreeP(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (singletonP(v17) = v16) | ~ (singletonP(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (ssList(v17) = v16) | ~ (ssList(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (ssItem(v17) = v16) | ~ (ssItem(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (singletonP(v15) = v16) | ~ (cons(v17, nil) = v15) | ? [v18] : (( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssItem(v17) = v18))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (gt(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (lt(v16, v15) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | v17 = 0) & ( ~ (v17 = 0) | v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (geq(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (leq(v16, v15) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | v17 = 0) & ( ~ (v17 = 0) | v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (lt(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (leq(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | v17 = 0 | v16 = v15) & ( ~ (v17 = 0) | (v19 = 0 & ~ (v16 = v15))))))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v15) = 0) | ~ (cons(v16, v15) = v17) | ? [v18] : ? [v19] : (tl(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = v15))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v15) = 0) | ~ (cons(v16, v15) = v17) | ? [v18] : ? [v19] : (hd(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = v16))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v15) = 0) | ~ (cons(v16, v15) = v17) | ? [v18] : ? [v19] : (ssList(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v15) = 0) | ~ (app(v15, v16) = v17) | ? [v18] : ? [v19] : (ssList(v17) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (geq(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v17] : ? [v18] : (geq(v16, v15) = v18 & ssItem(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (leq(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v17] : ? [v18] : (leq(v16, v15) = v18 & ssItem(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (segmentP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v17] : ? [v18] : (segmentP(v16, v15) = v18 & ssList(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (rearsegP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v17] : ? [v18] : (rearsegP(v16, v15) = v18 & ssList(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (frontsegP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v17] : ? [v18] : (frontsegP(v16, v15) = v18 & ssList(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (app(v15, nil) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v15] : ! [v16] : (v16 = v15 | ~ (app(nil, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v15] : ! [v16] : (v16 = nil | ~ (ssList(v15) = 0) | ~ (app(v15, v16) = nil) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (geq(v15, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssItem(v15) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (equalelemsP(v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v15 & v24 = 0 & v22 = 0 & v20 = 0 & v18 = 0 & ~ (v19 = v17) & ssList(v23) = 0 & ssList(v21) = 0 & cons(v19, v23) = v25 & cons(v17, v25) = v26 & app(v21, v26) = v15 & ssItem(v19) = 0 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (duplicatefreeP(v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = v15 & v28 = 0 & v24 = 0 & v22 = 0 & v20 = 0 & v19 = v17 & v18 = 0 & ssList(v27) = 0 & ssList(v23) = 0 & ssList(v21) = 0 & cons(v17, v27) = v29 & cons(v17, v23) = v25 & app(v26, v29) = v15 & app(v21, v25) = v26 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (strictorderedP(v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v15 & v29 = 0 & v25 = 0 & v23 = 0 & v20 = 0 & v18 = 0 & ~ (v21 = 0) & lt(v17, v19) = v21 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v19, v28) = v30 & cons(v17, v24) = v26 & app(v27, v30) = v15 & app(v22, v26) = v27 & ssItem(v19) = 0 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (totalorderedP(v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v15 & v29 = 0 & v25 = 0 & v23 = 0 & v20 = 0 & v18 = 0 & ~ (v21 = 0) & leq(v17, v19) = v21 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v19, v28) = v30 & cons(v17, v24) = v26 & app(v27, v30) = v15 & app(v22, v26) = v27 & ssItem(v19) = 0 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (strictorderP(v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v15 & v30 = 0 & v26 = 0 & v24 = 0 & v20 = 0 & v18 = 0 & ~ (v22 = 0) & ~ (v21 = 0) & lt(v19, v17) = v22 & lt(v17, v19) = v21 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v19, v29) = v31 & cons(v17, v25) = v27 & app(v28, v31) = v15 & app(v23, v27) = v28 & ssItem(v19) = 0 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (totalorderP(v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v15 & v30 = 0 & v26 = 0 & v24 = 0 & v20 = 0 & v18 = 0 & ~ (v22 = 0) & ~ (v21 = 0) & leq(v19, v17) = v22 & leq(v17, v19) = v21 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v19, v29) = v31 & cons(v17, v25) = v27 & app(v28, v31) = v15 & app(v23, v27) = v28 & ssItem(v19) = 0 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (cyclefreeP(v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v15 & v30 = 0 & v26 = 0 & v24 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & v18 = 0 & leq(v19, v17) = 0 & leq(v17, v19) = 0 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v19, v29) = v31 & cons(v17, v25) = v27 & app(v28, v31) = v15 & app(v23, v27) = v28 & ssItem(v19) = 0 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (leq(v15, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssItem(v15) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (segmentP(v15, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (segmentP(v15, nil) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (rearsegP(v15, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (rearsegP(v15, nil) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (frontsegP(v15, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (frontsegP(v15, nil) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v15] : ! [v16] : (v15 = nil | ~ (tl(v15) = v16) | ? [v17] : ? [v18] : (ssList(v16) = v18 & ssList(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : (v15 = nil | ~ (tl(v15) = v16) | ? [v17] : ? [v18] : ((v18 = 0 & v17 = v16 & ssList(v16) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v15 = nil | ~ (hd(v15) = v16) | ? [v17] : ? [v18] : (ssList(v15) = v17 & ssItem(v16) = v18 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : (v15 = nil | ~ (hd(v15) = v16) | ? [v17] : ? [v18] : ((v18 = 0 & v17 = v16 & ssItem(v16) = 0) | ( ~ (v17 = 0) & ssList(v15) = v17))) & ! [v15] : ! [v16] : (v15 = nil | ~ (ssList(v15) = 0) | ~ (app(v15, v16) = nil) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v15] : ! [v16] : ( ~ (gt(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v17] : ? [v18] : (gt(v16, v15) = v18 & ssItem(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : ( ~ (tl(v15) = v16) | ? [v17] : ? [v18] : (hd(v15) = v18 & ssList(v15) = v17 & ( ~ (v17 = 0) | ! [v19] : (v19 = v15 | v19 = nil | v15 = nil | ~ (tl(v19) = v16) | ? [v20] : ? [v21] : (hd(v19) = v21 & ssList(v19) = v20 & ( ~ (v21 = v18) | ~ (v20 = 0))))))) & ! [v15] : ! [v16] : ( ~ (lt(v15, v16) = 0) | ~ (ssItem(v15) = 0) | ? [v17] : ? [v18] : (lt(v16, v15) = v18 & ssItem(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : ( ~ (segmentP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v22 = v15 & v21 = 0 & v18 = 0 & ssList(v20) = 0 & ssList(v17) = 0 & app(v19, v20) = v15 & app(v17, v16) = v19) | ( ~ (v17 = 0) & ssList(v16) = v17))) & ! [v15] : ! [v16] : ( ~ (rearsegP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ((v19 = v15 & v18 = 0 & ssList(v17) = 0 & app(v17, v16) = v15) | ( ~ (v17 = 0) & ssList(v16) = v17))) & ! [v15] : ! [v16] : ( ~ (frontsegP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ((v19 = v15 & v18 = 0 & ssList(v17) = 0 & app(v16, v17) = v15) | ( ~ (v17 = 0) & ssList(v16) = v17))) & ! [v15] : ! [v16] : ( ~ (memberP(v15, v16) = 0) | ~ (ssList(v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v22 = v15 & v20 = 0 & v18 = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v16, v19) = v21 & app(v17, v21) = v15) | ( ~ (v17 = 0) & ssItem(v16) = v17))) & ! [v15] : ! [v16] : ( ~ (ssList(v15) = 0) | ~ (cons(v16, v15) = v15) | ? [v17] : ( ~ (v17 = 0) & ssItem(v16) = v17)) & ! [v15] : ! [v16] : ( ~ (ssList(v15) = 0) | ~ (cons(v16, v15) = nil) | ? [v17] : ( ~ (v17 = 0) & ssItem(v16) = v17)) & ! [v15] : ! [v16] : ( ~ (cons(v15, nil) = v16) | ? [v17] : ? [v18] : (equalelemsP(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (cons(v15, nil) = v16) | ? [v17] : ? [v18] : (duplicatefreeP(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (cons(v15, nil) = v16) | ? [v17] : ? [v18] : (strictorderedP(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (cons(v15, nil) = v16) | ? [v17] : ? [v18] : (totalorderedP(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (cons(v15, nil) = v16) | ? [v17] : ? [v18] : (strictorderP(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (cons(v15, nil) = v16) | ? [v17] : ? [v18] : (totalorderP(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (cons(v15, nil) = v16) | ? [v17] : ? [v18] : (cyclefreeP(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : (v15 = nil | ~ (segmentP(nil, v15) = 0) | ? [v16] : ( ~ (v16 = 0) & ssList(v15) = v16)) & ! [v15] : (v15 = nil | ~ (rearsegP(nil, v15) = 0) | ? [v16] : ( ~ (v16 = 0) & ssList(v15) = v16)) & ! [v15] : (v15 = nil | ~ (frontsegP(nil, v15) = 0) | ? [v16] : ( ~ (v16 = 0) & ssList(v15) = v16)) & ! [v15] : (v15 = nil | ~ (ssList(v15) = 0) | ? [v16] : ? [v17] : (ssList(v16) = 0 & cons(v17, v16) = v15 & ssItem(v17) = 0)) & ! [v15] : (v15 = nil | ~ (app(nil, nil) = v15)) & ! [v15] : (v15 = 0 | ~ (segmentP(nil, nil) = v15)) & ! [v15] : (v15 = 0 | ~ (rearsegP(nil, nil) = v15)) & ! [v15] : (v15 = 0 | ~ (frontsegP(nil, nil) = v15)) & ! [v15] : ( ~ (lt(v15, v15) = 0) | ? [v16] : ( ~ (v16 = 0) & ssItem(v15) = v16)) & ! [v15] : ( ~ (singletonP(v15) = 0) | ? [v16] : ? [v17] : ? [v18] : ((v18 = v15 & v17 = 0 & cons(v16, nil) = v15 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v15) = v16))) & ! [v15] : ( ~ (memberP(nil, v15) = 0) | ? [v16] : ( ~ (v16 = 0) & ssItem(v15) = v16)) & ! [v15] : ( ~ (ssList(v15) = 0) | ~ (neq(v15, v15) = 0)) & ! [v15] : ( ~ (neq(v15, v15) = 0) | ~ (ssItem(v15) = 0)) & ((v12 = v3 & v11 = 0 & v8 = 0 & v6 = v1 & v5 = 0 & ssList(v10) = 0 & ssList(v7) = 0 & cons(v4, nil) = v1 & app(v9, v10) = v3 & app(v7, v1) = v9 & ssItem(v4) = 0 & ! [v15] : ( ~ (memberP(v10, v15) = 0) | ? [v16] : ? [v17] : (lt(v15, v4) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v15] : ( ~ (memberP(v7, v15) = 0) | ? [v16] : ? [v17] : (lt(v4, v15) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) | (v3 = nil & v1 = nil))) % 25.51/7.84 | 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 yields: % 25.51/7.84 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_12_12 = 0) & ~ (all_0_14_14 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(all_0_13_13) = all_0_12_12 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_14_14 & ssList(all_0_11_11) = 0 & ssList(all_0_13_13) = 0 & ssList(nil) = 0 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (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_2_2 = all_0_11_11 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_13_13 & 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_13_13 & app(all_0_5_5, all_0_4_4) = all_0_11_11 & app(all_0_7_7, all_0_13_13) = 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_11_11 = nil & all_0_13_13 = nil)) % 25.65/7.86 | % 25.65/7.86 | Applying alpha-rule on (1) yields: % 25.65/7.86 | (2) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) % 25.65/7.87 | (3) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) % 25.65/7.87 | (4) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 25.65/7.87 | (5) ! [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))) % 25.65/7.87 | (6) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.87 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) % 25.65/7.87 | (8) ! [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))) % 25.65/7.87 | (9) ! [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))))) % 25.65/7.87 | (10) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) % 25.65/7.87 | (11) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.87 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) % 25.65/7.87 | (13) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.65/7.87 | (14) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) % 25.65/7.87 | (15) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.65/7.87 | (16) ! [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))))) % 25.65/7.87 | (17) ! [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))) % 25.65/7.87 | (18) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.65/7.87 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) % 25.65/7.87 | (20) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.65/7.87 | (21) ssList(nil) = 0 % 25.65/7.87 | (22) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.87 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 25.65/7.87 | (24) ! [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))) % 25.65/7.87 | (25) ! [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)))))))) % 25.65/7.87 | (26) ! [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))))))) % 25.65/7.87 | (27) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.65/7.87 | (28) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 25.65/7.87 | (29) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 25.65/7.87 | (30) ! [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))) % 25.65/7.87 | (31) ! [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))))) % 25.65/7.87 | (32) ssItem(all_0_0_0) = 0 % 25.65/7.87 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) % 25.65/7.87 | (34) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 25.65/7.87 | (35) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) % 25.65/7.88 | (36) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) % 25.65/7.88 | (37) ! [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))))))) % 25.65/7.88 | (38) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.88 | (39) singletonP(nil) = all_0_14_14 % 25.65/7.88 | (40) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) % 25.65/7.88 | (41) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 25.65/7.88 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 25.65/7.88 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) % 25.65/7.88 | (44) ! [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))) % 25.65/7.88 | (45) ~ (all_0_0_0 = all_0_1_1) % 25.65/7.88 | (46) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.65/7.88 | (47) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) % 25.65/7.88 | (48) ! [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))) % 25.65/7.88 | (49) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.65/7.88 | (50) ! [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))) % 25.65/7.88 | (51) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.65/7.88 | (52) ! [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))))))) % 25.65/7.88 | (53) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) % 25.65/7.88 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 25.65/7.88 | (55) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.65/7.88 | (56) (all_0_2_2 = all_0_11_11 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_13_13 & 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_13_13 & app(all_0_5_5, all_0_4_4) = all_0_11_11 & app(all_0_7_7, all_0_13_13) = 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_11_11 = nil & all_0_13_13 = nil) % 25.65/7.88 | (57) equalelemsP(nil) = 0 % 25.65/7.88 | (58) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 25.65/7.88 | (59) ! [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))) % 25.65/7.88 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) % 25.65/7.88 | (61) ! [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))) % 25.65/7.88 | (62) duplicatefreeP(nil) = 0 % 25.65/7.88 | (63) ! [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))) % 25.65/7.88 | (64) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.65/7.88 | (65) ! [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))) % 25.65/7.88 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 25.65/7.88 | (67) ! [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))) % 25.65/7.88 | (68) ! [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))) % 25.65/7.89 | (69) ! [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)))))))) % 25.65/7.89 | (70) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.65/7.89 | (71) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.89 | (72) ! [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))))) % 25.65/7.89 | (73) ! [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))) % 25.65/7.89 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) % 25.65/7.89 | (75) ! [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))) % 25.65/7.89 | (76) ! [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))) % 25.65/7.89 | (77) ! [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)))) % 25.65/7.89 | (78) totalorderedP(all_0_13_13) = all_0_12_12 % 25.65/7.89 | (79) ssList(all_0_13_13) = 0 % 25.65/7.89 | (80) totalorderP(nil) = 0 % 25.65/7.89 | (81) ! [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))) % 25.65/7.89 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) % 25.65/7.89 | (83) ! [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)))) % 25.65/7.89 | (84) ! [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))) % 25.65/7.89 | (85) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.65/7.89 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) % 25.65/7.89 | (87) ssItem(all_0_1_1) = 0 % 25.65/7.89 | (88) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.65/7.89 | (89) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 25.65/7.89 | (90) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) % 25.65/7.89 | (91) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.65/7.89 | (92) ! [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))))) % 25.65/7.89 | (93) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.65/7.89 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) % 25.65/7.89 | (95) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) % 25.65/7.89 | (96) ! [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))))) % 25.65/7.89 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) % 25.65/7.89 | (98) ssList(all_0_11_11) = 0 % 25.65/7.89 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 25.65/7.89 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) % 25.65/7.89 | (101) ! [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)))))))) % 25.65/7.89 | (102) strictorderedP(nil) = 0 % 25.65/7.89 | (103) ! [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))))))) % 25.65/7.90 | (104) totalorderedP(nil) = 0 % 25.65/7.90 | (105) ! [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))))))) % 25.65/7.90 | (106) ! [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))) % 25.65/7.90 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 25.65/7.90 | (108) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.65/7.90 | (109) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.65/7.90 | (110) ! [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))))) % 25.65/7.90 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 25.65/7.90 | (112) ! [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))) % 25.65/7.90 | (113) ! [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)))) % 25.65/7.90 | (114) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 25.65/7.90 | (115) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) % 25.65/7.90 | (116) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.90 | (117) ! [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)))) % 25.65/7.90 | (118) ! [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))) % 25.65/7.90 | (119) ! [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))) % 25.65/7.90 | (120) ! [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))) % 25.65/7.90 | (121) ! [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))) % 25.65/7.90 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) % 25.65/7.90 | (123) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 25.65/7.90 | (124) ! [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))))))) % 25.65/7.90 | (125) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 25.65/7.90 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) % 25.65/7.90 | (127) ~ (all_0_14_14 = 0) % 25.65/7.90 | (128) ! [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))))) % 25.65/7.90 | (129) ! [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))) % 25.65/7.90 | (130) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) % 25.65/7.90 | (131) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.90 | (132) ! [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))) % 25.65/7.90 | (133) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.90 | (134) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.65/7.91 | (135) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) % 25.65/7.91 | (136) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 25.65/7.91 | (137) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) % 25.65/7.91 | (138) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.65/7.91 | (139) ! [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))))))) % 25.65/7.91 | (140) ! [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)))) % 25.65/7.91 | (141) ~ (all_0_12_12 = 0) % 25.65/7.91 | (142) strictorderP(nil) = 0 % 25.65/7.91 | (143) cyclefreeP(nil) = 0 % 25.65/7.91 | (144) ! [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))))) % 25.65/7.91 | (145) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 25.65/7.91 | (146) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) % 25.65/7.91 | (147) ! [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))))) % 25.65/7.91 | % 25.65/7.91 | Instantiating formula (130) with nil, 0, all_0_12_12 and discharging atoms totalorderedP(nil) = 0, yields: % 25.65/7.91 | (148) all_0_12_12 = 0 | ~ (totalorderedP(nil) = all_0_12_12) % 25.65/7.91 | % 25.65/7.91 | Instantiating formula (48) with all_0_12_12, all_0_13_13 and discharging atoms totalorderedP(all_0_13_13) = all_0_12_12, yields: % 25.65/7.91 | (149) all_0_12_12 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = all_0_13_13 & v12 = 0 & v8 = 0 & v6 = 0 & v3 = 0 & v1 = 0 & ~ (v4 = 0) & leq(v0, v2) = v4 & ssList(v11) = 0 & ssList(v7) = 0 & ssList(v5) = 0 & cons(v2, v11) = v13 & cons(v0, v7) = v9 & app(v10, v13) = all_0_13_13 & app(v5, v9) = v10 & ssItem(v2) = 0 & ssItem(v0) = 0) | ( ~ (v0 = 0) & ssList(all_0_13_13) = v0)) % 25.65/7.91 | % 25.65/7.91 +-Applying beta-rule and splitting (56), into two cases. % 25.65/7.91 |-Branch one: % 25.65/7.91 | (150) all_0_2_2 = all_0_11_11 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_13_13 & 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_13_13 & app(all_0_5_5, all_0_4_4) = all_0_11_11 & app(all_0_7_7, all_0_13_13) = 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)))) % 25.65/7.91 | % 25.65/7.91 | Applying alpha-rule on (150) yields: % 25.65/7.91 | (151) ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 25.65/7.91 | (152) all_0_9_9 = 0 % 25.65/7.91 | (153) app(all_0_5_5, all_0_4_4) = all_0_11_11 % 25.65/7.91 | (154) ssList(all_0_7_7) = 0 % 25.65/7.91 | (155) cons(all_0_10_10, nil) = all_0_13_13 % 25.65/7.91 | (156) ssList(all_0_4_4) = 0 % 25.65/7.91 | (157) all_0_6_6 = 0 % 25.65/7.91 | (158) all_0_8_8 = all_0_13_13 % 25.65/7.91 | (159) all_0_3_3 = 0 % 25.65/7.91 | (160) all_0_2_2 = all_0_11_11 % 25.65/7.91 | (161) ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 25.65/7.91 | (162) ssItem(all_0_10_10) = 0 % 25.65/7.91 | (163) app(all_0_7_7, all_0_13_13) = all_0_5_5 % 25.65/7.91 | % 25.65/7.91 +-Applying beta-rule and splitting (149), into two cases. % 25.65/7.91 |-Branch one: % 25.65/7.91 | (164) all_0_12_12 = 0 % 25.65/7.91 | % 25.65/7.91 | Equations (164) can reduce 141 to: % 25.65/7.91 | (165) $false % 25.65/7.91 | % 25.65/7.91 |-The branch is then unsatisfiable % 25.65/7.91 |-Branch two: % 25.65/7.91 | (141) ~ (all_0_12_12 = 0) % 25.65/7.91 | (167) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = all_0_13_13 & v12 = 0 & v8 = 0 & v6 = 0 & v3 = 0 & v1 = 0 & ~ (v4 = 0) & leq(v0, v2) = v4 & ssList(v11) = 0 & ssList(v7) = 0 & ssList(v5) = 0 & cons(v2, v11) = v13 & cons(v0, v7) = v9 & app(v10, v13) = all_0_13_13 & app(v5, v9) = v10 & ssItem(v2) = 0 & ssItem(v0) = 0) | ( ~ (v0 = 0) & ssList(all_0_13_13) = v0)) % 25.65/7.91 | % 25.65/7.91 | Instantiating formula (126) with all_0_13_13, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.91 | (168) ? [v0] : ? [v1] : (tl(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 25.65/7.91 | % 25.65/7.91 | Instantiating formula (115) with all_0_13_13, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.91 | (169) ? [v0] : ? [v1] : (hd(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10)) % 25.65/7.91 | % 25.65/7.91 | Instantiating formula (6) with all_0_13_13, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.91 | (170) ? [v0] : ? [v1] : (equalelemsP(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (133) with all_0_13_13, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.92 | (171) ? [v0] : ? [v1] : (duplicatefreeP(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (134) with all_0_13_13, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.92 | (172) ? [v0] : ? [v1] : (strictorderedP(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (11) with all_0_13_13, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.92 | (173) ? [v0] : ? [v1] : (totalorderedP(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (131) with all_0_13_13, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.92 | (174) ? [v0] : ? [v1] : (strictorderP(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (116) with all_0_13_13, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.92 | (175) ? [v0] : ? [v1] : (totalorderP(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (71) with all_0_13_13, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_13_13, yields: % 25.65/7.92 | (176) ? [v0] : ? [v1] : (cyclefreeP(all_0_13_13) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.65/7.92 | % 25.65/7.92 | Instantiating (176) with all_36_0_45, all_36_1_46 yields: % 25.65/7.92 | (177) cyclefreeP(all_0_13_13) = all_36_0_45 & ssItem(all_0_10_10) = all_36_1_46 & ( ~ (all_36_1_46 = 0) | all_36_0_45 = 0) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (177) yields: % 25.65/7.92 | (178) cyclefreeP(all_0_13_13) = all_36_0_45 % 25.65/7.92 | (179) ssItem(all_0_10_10) = all_36_1_46 % 25.65/7.92 | (180) ~ (all_36_1_46 = 0) | all_36_0_45 = 0 % 25.65/7.92 | % 25.65/7.92 | Instantiating (171) with all_38_0_47, all_38_1_48 yields: % 25.65/7.92 | (181) duplicatefreeP(all_0_13_13) = all_38_0_47 & ssItem(all_0_10_10) = all_38_1_48 & ( ~ (all_38_1_48 = 0) | all_38_0_47 = 0) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (181) yields: % 25.65/7.92 | (182) duplicatefreeP(all_0_13_13) = all_38_0_47 % 25.65/7.92 | (183) ssItem(all_0_10_10) = all_38_1_48 % 25.65/7.92 | (184) ~ (all_38_1_48 = 0) | all_38_0_47 = 0 % 25.65/7.92 | % 25.65/7.92 | Instantiating (170) with all_40_0_49, all_40_1_50 yields: % 25.65/7.92 | (185) equalelemsP(all_0_13_13) = all_40_0_49 & ssItem(all_0_10_10) = all_40_1_50 & ( ~ (all_40_1_50 = 0) | all_40_0_49 = 0) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (185) yields: % 25.65/7.92 | (186) equalelemsP(all_0_13_13) = all_40_0_49 % 25.65/7.92 | (187) ssItem(all_0_10_10) = all_40_1_50 % 25.65/7.92 | (188) ~ (all_40_1_50 = 0) | all_40_0_49 = 0 % 25.65/7.92 | % 25.65/7.92 | Instantiating (175) with all_42_0_51, all_42_1_52 yields: % 25.65/7.92 | (189) totalorderP(all_0_13_13) = all_42_0_51 & ssItem(all_0_10_10) = all_42_1_52 & ( ~ (all_42_1_52 = 0) | all_42_0_51 = 0) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (189) yields: % 25.65/7.92 | (190) totalorderP(all_0_13_13) = all_42_0_51 % 25.65/7.92 | (191) ssItem(all_0_10_10) = all_42_1_52 % 25.65/7.92 | (192) ~ (all_42_1_52 = 0) | all_42_0_51 = 0 % 25.65/7.92 | % 25.65/7.92 | Instantiating (173) with all_44_0_53, all_44_1_54 yields: % 25.65/7.92 | (193) totalorderedP(all_0_13_13) = all_44_0_53 & ssItem(all_0_10_10) = all_44_1_54 & ( ~ (all_44_1_54 = 0) | all_44_0_53 = 0) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (193) yields: % 25.65/7.92 | (194) totalorderedP(all_0_13_13) = all_44_0_53 % 25.65/7.92 | (195) ssItem(all_0_10_10) = all_44_1_54 % 25.65/7.92 | (196) ~ (all_44_1_54 = 0) | all_44_0_53 = 0 % 25.65/7.92 | % 25.65/7.92 | Instantiating (169) with all_46_0_55, all_46_1_56 yields: % 25.65/7.92 | (197) hd(all_0_13_13) = all_46_0_55 & ssItem(all_0_10_10) = all_46_1_56 & ( ~ (all_46_1_56 = 0) | all_46_0_55 = all_0_10_10) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (197) yields: % 25.65/7.92 | (198) hd(all_0_13_13) = all_46_0_55 % 25.65/7.92 | (199) ssItem(all_0_10_10) = all_46_1_56 % 25.65/7.92 | (200) ~ (all_46_1_56 = 0) | all_46_0_55 = all_0_10_10 % 25.65/7.92 | % 25.65/7.92 | Instantiating (172) with all_48_0_57, all_48_1_58 yields: % 25.65/7.92 | (201) strictorderedP(all_0_13_13) = all_48_0_57 & ssItem(all_0_10_10) = all_48_1_58 & ( ~ (all_48_1_58 = 0) | all_48_0_57 = 0) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (201) yields: % 25.65/7.92 | (202) strictorderedP(all_0_13_13) = all_48_0_57 % 25.65/7.92 | (203) ssItem(all_0_10_10) = all_48_1_58 % 25.65/7.92 | (204) ~ (all_48_1_58 = 0) | all_48_0_57 = 0 % 25.65/7.92 | % 25.65/7.92 | Instantiating (174) with all_50_0_59, all_50_1_60 yields: % 25.65/7.92 | (205) strictorderP(all_0_13_13) = all_50_0_59 & ssItem(all_0_10_10) = all_50_1_60 & ( ~ (all_50_1_60 = 0) | all_50_0_59 = 0) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (205) yields: % 25.65/7.92 | (206) strictorderP(all_0_13_13) = all_50_0_59 % 25.65/7.92 | (207) ssItem(all_0_10_10) = all_50_1_60 % 25.65/7.92 | (208) ~ (all_50_1_60 = 0) | all_50_0_59 = 0 % 25.65/7.92 | % 25.65/7.92 | Instantiating (168) with all_61_0_72, all_61_1_73 yields: % 25.65/7.92 | (209) tl(all_0_13_13) = all_61_0_72 & ssItem(all_0_10_10) = all_61_1_73 & ( ~ (all_61_1_73 = 0) | all_61_0_72 = nil) % 25.65/7.92 | % 25.65/7.92 | Applying alpha-rule on (209) yields: % 25.65/7.92 | (210) tl(all_0_13_13) = all_61_0_72 % 25.65/7.92 | (211) ssItem(all_0_10_10) = all_61_1_73 % 25.65/7.92 | (212) ~ (all_61_1_73 = 0) | all_61_0_72 = nil % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (130) with all_0_13_13, all_44_0_53, all_0_12_12 and discharging atoms totalorderedP(all_0_13_13) = all_44_0_53, totalorderedP(all_0_13_13) = all_0_12_12, yields: % 25.65/7.92 | (213) all_44_0_53 = all_0_12_12 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_50_1_60, all_61_1_73 and discharging atoms ssItem(all_0_10_10) = all_61_1_73, ssItem(all_0_10_10) = all_50_1_60, yields: % 25.65/7.92 | (214) all_61_1_73 = all_50_1_60 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_46_1_56, all_61_1_73 and discharging atoms ssItem(all_0_10_10) = all_61_1_73, ssItem(all_0_10_10) = all_46_1_56, yields: % 25.65/7.92 | (215) all_61_1_73 = all_46_1_56 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_46_1_56, all_48_1_58 and discharging atoms ssItem(all_0_10_10) = all_48_1_58, ssItem(all_0_10_10) = all_46_1_56, yields: % 25.65/7.92 | (216) all_48_1_58 = all_46_1_56 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_44_1_54, all_46_1_56 and discharging atoms ssItem(all_0_10_10) = all_46_1_56, ssItem(all_0_10_10) = all_44_1_54, yields: % 25.65/7.92 | (217) all_46_1_56 = all_44_1_54 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_42_1_52, all_48_1_58 and discharging atoms ssItem(all_0_10_10) = all_48_1_58, ssItem(all_0_10_10) = all_42_1_52, yields: % 25.65/7.92 | (218) all_48_1_58 = all_42_1_52 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_40_1_50, all_44_1_54 and discharging atoms ssItem(all_0_10_10) = all_44_1_54, ssItem(all_0_10_10) = all_40_1_50, yields: % 25.65/7.92 | (219) all_44_1_54 = all_40_1_50 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_38_1_48, 0 and discharging atoms ssItem(all_0_10_10) = all_38_1_48, ssItem(all_0_10_10) = 0, yields: % 25.65/7.92 | (220) all_38_1_48 = 0 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_38_1_48, all_44_1_54 and discharging atoms ssItem(all_0_10_10) = all_44_1_54, ssItem(all_0_10_10) = all_38_1_48, yields: % 25.65/7.92 | (221) all_44_1_54 = all_38_1_48 % 25.65/7.92 | % 25.65/7.92 | Instantiating formula (136) with all_0_10_10, all_36_1_46, all_61_1_73 and discharging atoms ssItem(all_0_10_10) = all_61_1_73, ssItem(all_0_10_10) = all_36_1_46, yields: % 25.65/7.92 | (222) all_61_1_73 = all_36_1_46 % 25.65/7.92 | % 25.65/7.92 | Combining equations (222,214) yields a new equation: % 25.65/7.92 | (223) all_50_1_60 = all_36_1_46 % 25.65/7.92 | % 25.65/7.92 | Combining equations (215,214) yields a new equation: % 25.65/7.92 | (224) all_50_1_60 = all_46_1_56 % 25.65/7.92 | % 25.65/7.92 | Combining equations (224,223) yields a new equation: % 25.65/7.92 | (225) all_46_1_56 = all_36_1_46 % 25.65/7.92 | % 25.65/7.92 | Simplifying 225 yields: % 25.65/7.92 | (226) all_46_1_56 = all_36_1_46 % 26.00/7.92 | % 26.00/7.92 | Combining equations (216,218) yields a new equation: % 26.00/7.92 | (227) all_46_1_56 = all_42_1_52 % 26.00/7.92 | % 26.00/7.92 | Simplifying 227 yields: % 26.00/7.92 | (228) all_46_1_56 = all_42_1_52 % 26.00/7.92 | % 26.00/7.92 | Combining equations (217,228) yields a new equation: % 26.00/7.92 | (229) all_44_1_54 = all_42_1_52 % 26.00/7.92 | % 26.00/7.92 | Simplifying 229 yields: % 26.00/7.92 | (230) all_44_1_54 = all_42_1_52 % 26.00/7.92 | % 26.00/7.92 | Combining equations (226,228) yields a new equation: % 26.00/7.92 | (231) all_42_1_52 = all_36_1_46 % 26.00/7.92 | % 26.00/7.92 | Combining equations (221,219) yields a new equation: % 26.00/7.92 | (232) all_40_1_50 = all_38_1_48 % 26.00/7.92 | % 26.00/7.92 | Combining equations (230,219) yields a new equation: % 26.00/7.92 | (233) all_42_1_52 = all_40_1_50 % 26.00/7.92 | % 26.00/7.92 | Simplifying 233 yields: % 26.00/7.92 | (234) all_42_1_52 = all_40_1_50 % 26.00/7.92 | % 26.00/7.92 | Combining equations (234,231) yields a new equation: % 26.00/7.92 | (235) all_40_1_50 = all_36_1_46 % 26.00/7.92 | % 26.00/7.92 | Simplifying 235 yields: % 26.00/7.92 | (236) all_40_1_50 = all_36_1_46 % 26.00/7.92 | % 26.00/7.92 | Combining equations (232,236) yields a new equation: % 26.00/7.92 | (237) all_38_1_48 = all_36_1_46 % 26.00/7.92 | % 26.00/7.92 | Simplifying 237 yields: % 26.00/7.92 | (238) all_38_1_48 = all_36_1_46 % 26.00/7.92 | % 26.00/7.92 | Combining equations (220,238) yields a new equation: % 26.00/7.92 | (239) all_36_1_46 = 0 % 26.00/7.92 | % 26.00/7.92 | Combining equations (239,236) yields a new equation: % 26.00/7.92 | (240) all_40_1_50 = 0 % 26.00/7.92 | % 26.00/7.92 | Combining equations (240,219) yields a new equation: % 26.00/7.92 | (241) all_44_1_54 = 0 % 26.00/7.92 | % 26.00/7.92 +-Applying beta-rule and splitting (196), into two cases. % 26.00/7.92 |-Branch one: % 26.00/7.92 | (242) ~ (all_44_1_54 = 0) % 26.00/7.93 | % 26.00/7.93 | Equations (241) can reduce 242 to: % 26.00/7.93 | (165) $false % 26.00/7.93 | % 26.00/7.93 |-The branch is then unsatisfiable % 26.00/7.93 |-Branch two: % 26.00/7.93 | (241) all_44_1_54 = 0 % 26.00/7.93 | (245) all_44_0_53 = 0 % 26.00/7.93 | % 26.00/7.93 | Combining equations (245,213) yields a new equation: % 26.00/7.93 | (164) all_0_12_12 = 0 % 26.00/7.93 | % 26.00/7.93 | Equations (164) can reduce 141 to: % 26.00/7.93 | (165) $false % 26.00/7.93 | % 26.00/7.93 |-The branch is then unsatisfiable % 26.00/7.93 |-Branch two: % 26.00/7.93 | (248) all_0_11_11 = nil & all_0_13_13 = nil % 26.00/7.93 | % 26.00/7.93 | Applying alpha-rule on (248) yields: % 26.00/7.93 | (249) all_0_11_11 = nil % 26.00/7.93 | (250) all_0_13_13 = nil % 26.00/7.93 | % 26.00/7.93 | From (250) and (78) follows: % 26.00/7.93 | (251) totalorderedP(nil) = all_0_12_12 % 26.00/7.93 | % 26.00/7.93 +-Applying beta-rule and splitting (148), into two cases. % 26.00/7.93 |-Branch one: % 26.00/7.93 | (252) ~ (totalorderedP(nil) = all_0_12_12) % 26.00/7.93 | % 26.00/7.93 | Using (251) and (252) yields: % 26.00/7.93 | (253) $false % 26.00/7.93 | % 26.00/7.93 |-The branch is then unsatisfiable % 26.00/7.93 |-Branch two: % 26.00/7.93 | (251) totalorderedP(nil) = all_0_12_12 % 26.00/7.93 | (164) all_0_12_12 = 0 % 26.00/7.93 | % 26.00/7.93 | Equations (164) can reduce 141 to: % 26.00/7.93 | (165) $false % 26.00/7.93 | % 26.00/7.93 |-The branch is then unsatisfiable % 26.00/7.93 % SZS output end Proof for theBenchmark % 26.00/7.93 % 26.00/7.93 7309ms %------------------------------------------------------------------------------