%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWC185+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n029.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 20:16:42 EDT 2022 % Result : Theorem 21.36s 6.37s % Output : Proof 25.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWC185+1 : TPTP v8.1.0. Released v2.4.0. % 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 11 22:45:09 EDT 2022 % 0.12/0.34 % CPUTime : % 0.50/0.59 ____ _ % 0.50/0.59 ___ / __ \_____(_)___ ________ __________ % 0.50/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.50/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.50/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.50/0.59 % 0.50/0.59 A Theorem Prover for First-Order Logic % 0.50/0.59 (ePrincess v.1.0) % 0.50/0.59 % 0.50/0.59 (c) Philipp Rümmer, 2009-2015 % 0.50/0.59 (c) Peter Backeman, 2014-2015 % 0.50/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.50/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.50/0.59 Bug reports to peter@backeman.se % 0.50/0.59 % 0.50/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.50/0.59 % 0.50/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.41/1.10 Prover 0: Preprocessing ... % 4.87/1.69 Prover 0: Constructing countermodel ... % 19.45/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 19.99/6.07 Prover 1: Preprocessing ... % 20.90/6.28 Prover 1: Constructing countermodel ... % 21.36/6.37 Prover 1: proved (437ms) % 21.36/6.37 Prover 0: stopped % 21.36/6.37 % 21.36/6.37 No countermodel exists, formula is valid % 21.36/6.37 % SZS status Theorem for theBenchmark % 21.36/6.37 % 21.36/6.37 Generating proof ... found it (size 114) % 24.62/7.07 % 24.62/7.07 % SZS output start Proof for theBenchmark % 24.62/7.08 Assumed formulas after preprocessing and simplification: % 24.62/7.08 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v10) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & memberP(v8, v3) = v9 & memberP(v5, v3) = v7 & ssList(v8) = 0 & ssList(v5) = 0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & cons(v3, nil) = v4 & app(v6, v8) = v1 & app(v5, v4) = v6 & ssItem(v11) = 0 & ssItem(v10) = 0 & ssItem(v3) = 0 & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | ~ (strictorderedP(v12) = 0) | ~ (lt(v13, v14) = v15) | ~ (ssList(v16) = 0) | ~ (cons(v14, v20) = v21) | ~ (cons(v13, v17) = v18) | ~ (app(v19, v21) = v12) | ~ (app(v16, v18) = v19) | ~ (ssItem(v13) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v12) = v22) | ( ~ (v22 = 0) & ssItem(v14) = v22))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | ~ (totalorderedP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssList(v16) = 0) | ~ (cons(v14, v20) = v21) | ~ (cons(v13, v17) = v18) | ~ (app(v19, v21) = v12) | ~ (app(v16, v18) = v19) | ~ (ssItem(v13) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v12) = v22) | ( ~ (v22 = 0) & ssItem(v14) = v22))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (duplicatefreeP(v12) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v13, v18) = v19) | ~ (cons(v13, v15) = v16) | ~ (app(v17, v19) = v12) | ~ (app(v14, v16) = v17) | ~ (ssItem(v13) = 0) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20) | ( ~ (v20 = 0) & ssList(v12) = v20))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (segmentP(v17, v13) = v18) | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v15, v16) = v17) | ~ (app(v14, v12) = v15) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v13) = v19))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v14 = v13 | ~ (equalelemsP(v12) = 0) | ~ (ssList(v15) = 0) | ~ (cons(v14, v16) = v17) | ~ (cons(v13, v17) = v18) | ~ (app(v15, v18) = v12) | ~ (ssItem(v14) = 0) | ~ (ssItem(v13) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v12) = v19))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (frontsegP(v15, v17) = v18) | ~ (cons(v13, v16) = v17) | ~ (cons(v12, v14) = v15) | ~ (ssItem(v13) = 0) | ~ (ssItem(v12) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v14) = v19) | (frontsegP(v14, v16) = v20 & ssList(v16) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | ~ (v13 = v12) | v18 = 0) & ( ~ (v18 = 0) | (v20 = 0 & v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = 0 | ~ (segmentP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v16, v17) = v12) | ~ (app(v15, v13) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v13) = v18))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = 0 | ~ (memberP(v12, v13) = v14) | ~ (ssList(v15) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v13, v16) = v17) | ~ (app(v15, v17) = v12) | ? [v18] : (( ~ (v18 = 0) & ssList(v16) = v18) | ( ~ (v18 = 0) & ssItem(v13) = v18))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (memberP(v16, v12) = v17) | ~ (memberP(v13, v12) = v14) | ~ (app(v13, v15) = v16) | ~ (ssItem(v12) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v13) = v18) | (memberP(v15, v12) = v19 & ssList(v15) = v18 & ( ~ (v18 = 0) | (( ~ (v17 = 0) | v19 = 0 | v14 = 0) & (v17 = 0 | ( ~ (v19 = 0) & ~ (v14 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (ssList(v13) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v16, v13) = v15) | ~ (cons(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssItem(v16) = v17) | ( ~ (v17 = 0) & ssItem(v14) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (rearsegP(v15, v13) = v16) | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v13) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (frontsegP(v15, v13) = v16) | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v12, v14) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v13) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (ssList(v13) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v16, v13) = v15) | ~ (cons(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssItem(v16) = v17) | ( ~ (v17 = 0) & ssItem(v14) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (memberP(v15, v12) = v16) | ~ (cons(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ~ (ssItem(v12) = 0) | ? [v17] : ? [v18] : (memberP(v14, v12) = v18 & ssList(v14) = v17 & ( ~ (v17 = 0) | (( ~ (v16 = 0) | v18 = 0 | v13 = v12) & (v16 = 0 | ( ~ (v18 = 0) & ~ (v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v12) = 0) | ~ (cons(v15, v14) = v16) | ~ (app(v13, v12) = v14) | ? [v17] : ? [v18] : ? [v19] : (( ~ (v17 = 0) & ssList(v13) = v17) | (cons(v15, v13) = v18 & app(v18, v12) = v19 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v19 = v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v12) = 0) | ~ (app(v14, v15) = v16) | ~ (app(v12, v13) = v14) | ? [v17] : ? [v18] : ? [v19] : (( ~ (v17 = 0) & ssList(v13) = v17) | (ssList(v15) = v17 & app(v13, v15) = v18 & app(v12, v18) = v19 & ( ~ (v17 = 0) | v19 = v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | v12 = nil | ~ (tl(v12) = v14) | ~ (hd(v12) = v13) | ~ (cons(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v12) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (ssList(v12) = 0) | ~ (app(v15, v13) = v14) | ~ (app(v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (ssList(v12) = 0) | ~ (app(v13, v15) = v14) | ~ (app(v13, v12) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (gt(v12, v14) = v15) | ~ (gt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (gt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (geq(v12, v14) = v15) | ~ (geq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (geq(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (lt(v12, v14) = v15) | ~ (lt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (lt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (lt(v12, v14) = v15) | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (lt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (leq(v12, v14) = v15) | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (leq(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v12, v14) = v15) | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (segmentP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v12, v14) = v15) | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (rearsegP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v12, v14) = v15) | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (frontsegP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (rearsegP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v15, v13) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (frontsegP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v13, v15) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (gt(v15, v14) = v13) | ~ (gt(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (geq(v15, v14) = v13) | ~ (geq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (lt(v15, v14) = v13) | ~ (lt(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (leq(v15, v14) = v13) | ~ (leq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (segmentP(v15, v14) = v13) | ~ (segmentP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (rearsegP(v15, v14) = v13) | ~ (rearsegP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (frontsegP(v15, v14) = v13) | ~ (frontsegP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (memberP(v15, v14) = v13) | ~ (memberP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (cons(v15, v14) = v13) | ~ (cons(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (app(v15, v14) = v13) | ~ (app(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (neq(v15, v14) = v13) | ~ (neq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (tl(v12) = v13) | ~ (app(v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & ssList(v12) = v16) | (tl(v17) = v18 & ssList(v14) = v16 & app(v12, v14) = v17 & ( ~ (v16 = 0) | v18 = v15)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (hd(v12) = v13) | ~ (app(v12, v14) = v15) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (hd(v15) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | v17 = v13)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (hd(v13) = v14) | ~ (lt(v12, v14) = v15) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (strictorderedP(v17) = v18 & strictorderedP(v13) = v19 & ssList(v13) = v16 & cons(v12, v13) = v17 & ( ~ (v16 = 0) | (( ~ (v18 = 0) | v13 = nil | (v19 = 0 & v15 = 0)) & (v18 = 0 | ( ~ (v13 = nil) & ( ~ (v19 = 0) | ~ (v15 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (hd(v13) = v14) | ~ (leq(v12, v14) = v15) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (totalorderedP(v17) = v18 & totalorderedP(v13) = v19 & ssList(v13) = v16 & cons(v12, v13) = v17 & ( ~ (v16 = 0) | (( ~ (v18 = 0) | v13 = nil | (v19 = 0 & v15 = 0)) & (v18 = 0 | ( ~ (v13 = nil) & ( ~ (v19 = 0) | ~ (v15 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (strictorderP(v12) = 0) | ~ (lt(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (lt(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | v15 = 0 | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (totalorderP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (leq(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | v15 = 0 | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (cyclefreeP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (leq(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (v17 = 0) | ~ (v15 = 0) | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, nil) = v14) | ~ (app(v14, v12) = v15) | ? [v16] : ? [v17] : (cons(v13, v12) = v17 & ssItem(v13) = v16 & ( ~ (v16 = 0) | v17 = v15))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (cons(v12, nil) = v13) | ~ (app(v14, v13) = v15) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v12) = v16) | (memberP(v14, v12) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ( ~ (app(v15, v18) = v1) | ? [v19] : ? [v20] : (memberP(v18, v12) = v20 & ssList(v18) = v19 & ( ~ (v19 = 0) | ( ~ (v20 = 0) & ~ (v17 = 0))))))))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (lt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (ssList(v12) = 0) | ~ (neq(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (neq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ( ~ (v15 = 0) & ssItem(v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (tl(v14) = v13) | ~ (tl(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (hd(v14) = v13) | ~ (hd(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (equalelemsP(v14) = v13) | ~ (equalelemsP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (duplicatefreeP(v14) = v13) | ~ (duplicatefreeP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (strictorderedP(v14) = v13) | ~ (strictorderedP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (totalorderedP(v14) = v13) | ~ (totalorderedP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (strictorderP(v14) = v13) | ~ (strictorderP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (totalorderP(v14) = v13) | ~ (totalorderP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (cyclefreeP(v14) = v13) | ~ (cyclefreeP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (singletonP(v14) = v13) | ~ (singletonP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (ssList(v14) = v13) | ~ (ssList(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (ssItem(v14) = v13) | ~ (ssItem(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (singletonP(v12) = v13) | ~ (cons(v14, nil) = v12) | ? [v15] : (( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssItem(v14) = v15))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (gt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (lt(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0) & ( ~ (v14 = 0) | v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (geq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0) & ( ~ (v14 = 0) | v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (lt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0 | v13 = v12) & ( ~ (v14 = 0) | (v16 = 0 & ~ (v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (tl(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = v12))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (hd(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = v13))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (ssList(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (app(v12, v13) = v14) | ? [v15] : ? [v16] : (ssList(v14) = v16 & ssList(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (geq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (geq(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (leq(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (segmentP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (rearsegP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (frontsegP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (app(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = v12 | ~ (app(nil, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = nil | ~ (ssList(v12) = 0) | ~ (app(v12, v13) = nil) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (geq(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssItem(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (equalelemsP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v12 & v21 = 0 & v19 = 0 & v17 = 0 & v15 = 0 & ~ (v16 = v14) & ssList(v20) = 0 & ssList(v18) = 0 & cons(v16, v20) = v22 & cons(v14, v22) = v23 & app(v18, v23) = v12 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (duplicatefreeP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v12 & v25 = 0 & v21 = 0 & v19 = 0 & v17 = 0 & v16 = v14 & v15 = 0 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v14, v20) = v22 & app(v23, v26) = v12 & app(v18, v22) = v23 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (strictorderedP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v12 & v26 = 0 & v22 = 0 & v20 = 0 & v17 = 0 & v15 = 0 & ~ (v18 = 0) & lt(v14, v16) = v18 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v16, v25) = v27 & cons(v14, v21) = v23 & app(v24, v27) = v12 & app(v19, v23) = v24 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (totalorderedP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v12 & v26 = 0 & v22 = 0 & v20 = 0 & v17 = 0 & v15 = 0 & ~ (v18 = 0) & leq(v14, v16) = v18 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v16, v25) = v27 & cons(v14, v21) = v23 & app(v24, v27) = v12 & app(v19, v23) = v24 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (strictorderP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v17 = 0 & v15 = 0 & ~ (v19 = 0) & ~ (v18 = 0) & lt(v16, v14) = v19 & lt(v14, v16) = v18 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (totalorderP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v17 = 0 & v15 = 0 & ~ (v19 = 0) & ~ (v18 = 0) & leq(v16, v14) = v19 & leq(v14, v16) = v18 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (cyclefreeP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & v15 = 0 & leq(v16, v14) = 0 & leq(v14, v16) = 0 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssItem(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (segmentP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (segmentP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v12 = nil | ~ (tl(v12) = v13) | ? [v14] : ? [v15] : (ssList(v13) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : (v12 = nil | ~ (tl(v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = v13 & ssList(v13) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v12 = nil | ~ (hd(v12) = v13) | ? [v14] : ? [v15] : (ssList(v12) = v14 & ssItem(v13) = v15 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : (v12 = nil | ~ (hd(v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = v13 & ssItem(v13) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v12 = nil | ~ (ssList(v12) = 0) | ~ (app(v12, v13) = nil) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (gt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (gt(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : ( ~ (tl(v12) = v13) | ? [v14] : ? [v15] : (hd(v12) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : (v16 = v12 | v16 = nil | v12 = nil | ~ (tl(v16) = v13) | ? [v17] : ? [v18] : (hd(v16) = v18 & ssList(v16) = v17 & ( ~ (v18 = v15) | ~ (v17 = 0))))))) & ! [v12] : ! [v13] : ( ~ (lt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (lt(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : ( ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = v12 & v18 = 0 & v15 = 0 & ssList(v17) = 0 & ssList(v14) = 0 & app(v16, v17) = v12 & app(v14, v13) = v16) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v12 & v15 = 0 & ssList(v14) = 0 & app(v14, v13) = v12) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v12 & v15 = 0 & ssList(v14) = 0 & app(v13, v14) = v12) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (memberP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = v12 & v17 = 0 & v15 = 0 & ssList(v16) = 0 & ssList(v14) = 0 & cons(v13, v16) = v18 & app(v14, v18) = v12) | ( ~ (v14 = 0) & ssItem(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v12) | ? [v14] : ( ~ (v14 = 0) & ssItem(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = nil) | ? [v14] : ( ~ (v14 = 0) & ssItem(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (equalelemsP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (duplicatefreeP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (strictorderedP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (totalorderedP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (strictorderP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (totalorderP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (cyclefreeP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : (v12 = nil | ~ (segmentP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (rearsegP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (frontsegP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (ssList(v12) = 0) | ? [v13] : ? [v14] : (ssList(v13) = 0 & cons(v14, v13) = v12 & ssItem(v14) = 0)) & ! [v12] : (v12 = nil | ~ (app(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (segmentP(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (rearsegP(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (frontsegP(nil, nil) = v12)) & ! [v12] : ( ~ (lt(v12, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v12] : ( ~ (singletonP(v12) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v12 & v14 = 0 & cons(v13, nil) = v12 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v12] : ( ~ (memberP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v12] : ( ~ (ssList(v12) = 0) | ~ (neq(v12, v12) = 0)) & ! [v12] : ( ~ (neq(v12, v12) = 0) | ~ (ssItem(v12) = 0)) & (v9 = 0 | v7 = 0)) % 24.62/7.15 | 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 yields: % 24.62/7.15 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_11_11 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_11_11 & memberP(all_0_3_3, all_0_8_8) = all_0_2_2 & memberP(all_0_6_6, all_0_8_8) = all_0_4_4 & ssList(all_0_3_3) = 0 & ssList(all_0_6_6) = 0 & ssList(all_0_9_9) = 0 & ssList(all_0_10_10) = 0 & ssList(nil) = 0 & cons(all_0_8_8, nil) = all_0_7_7 & app(all_0_5_5, all_0_3_3) = all_0_10_10 & app(all_0_6_6, all_0_7_7) = all_0_5_5 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ssItem(all_0_8_8) = 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] : ! [v3] : ( ~ (cons(v0, nil) = v1) | ~ (app(v2, v1) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v0) = v4) | (memberP(v2, v0) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ( ~ (app(v3, v6) = all_0_10_10) | ? [v7] : ? [v8] : (memberP(v6, v0) = v8 & ssList(v6) = v7 & ( ~ (v7 = 0) | ( ~ (v8 = 0) & ~ (v5 = 0))))))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & (all_0_2_2 = 0 | all_0_4_4 = 0) % 25.07/7.18 | % 25.07/7.18 | Applying alpha-rule on (1) yields: % 25.07/7.18 | (2) ! [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))) % 25.07/7.18 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 25.07/7.18 | (4) ssItem(all_0_8_8) = 0 % 25.07/7.18 | (5) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.07/7.18 | (6) ! [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))))) % 25.07/7.18 | (7) ! [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))))))) % 25.07/7.18 | (8) ! [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))) % 25.07/7.18 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) % 25.07/7.18 | (10) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) % 25.07/7.18 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 25.07/7.18 | (12) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.07/7.18 | (13) ! [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))))) % 25.07/7.18 | (14) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.07/7.18 | (15) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.07/7.18 | (16) duplicatefreeP(nil) = 0 % 25.07/7.18 | (17) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.07/7.18 | (18) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 25.07/7.18 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) % 25.07/7.18 | (20) ! [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))) % 25.07/7.18 | (21) memberP(all_0_3_3, all_0_8_8) = all_0_2_2 % 25.07/7.18 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) % 25.07/7.18 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) % 25.07/7.18 | (24) ! [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)))) % 25.07/7.18 | (25) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) % 25.07/7.18 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) % 25.07/7.18 | (27) ssItem(all_0_1_1) = 0 % 25.07/7.18 | (28) ! [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))))) % 25.07/7.18 | (29) ! [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))))))) % 25.07/7.18 | (30) ! [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))))) % 25.07/7.18 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) % 25.07/7.18 | (32) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.07/7.18 | (33) app(all_0_5_5, all_0_3_3) = all_0_10_10 % 25.07/7.18 | (34) ! [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))) % 25.07/7.18 | (35) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.07/7.19 | (36) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) % 25.07/7.19 | (37) ! [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))) % 25.07/7.19 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) % 25.07/7.19 | (39) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.07/7.19 | (40) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 25.07/7.19 | (41) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.07/7.19 | (42) ! [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))) % 25.20/7.19 | (43) ! [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)))) % 25.20/7.19 | (44) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.20/7.19 | (45) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.20/7.19 | (46) equalelemsP(nil) = 0 % 25.20/7.19 | (47) memberP(all_0_6_6, all_0_8_8) = all_0_4_4 % 25.20/7.19 | (48) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.20/7.19 | (49) cyclefreeP(nil) = 0 % 25.20/7.19 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 25.20/7.19 | (51) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 25.20/7.19 | (52) totalorderedP(nil) = 0 % 25.20/7.19 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 25.20/7.19 | (54) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 25.20/7.19 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) % 25.20/7.19 | (56) ssItem(all_0_0_0) = 0 % 25.20/7.19 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v0, nil) = v1) | ~ (app(v2, v1) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v0) = v4) | (memberP(v2, v0) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ( ~ (app(v3, v6) = all_0_10_10) | ? [v7] : ? [v8] : (memberP(v6, v0) = v8 & ssList(v6) = v7 & ( ~ (v7 = 0) | ( ~ (v8 = 0) & ~ (v5 = 0))))))))) % 25.20/7.19 | (58) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) % 25.20/7.19 | (59) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 25.20/7.19 | (60) ! [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))) % 25.20/7.19 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) % 25.20/7.19 | (62) ! [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)))))))) % 25.20/7.19 | (63) ! [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))))))) % 25.20/7.19 | (64) ! [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))) % 25.20/7.19 | (65) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 25.20/7.19 | (66) ssList(all_0_3_3) = 0 % 25.20/7.19 | (67) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.20/7.19 | (68) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) % 25.20/7.19 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 25.20/7.19 | (70) ! [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)))) % 25.20/7.19 | (71) ! [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))) % 25.20/7.19 | (72) all_0_2_2 = 0 | all_0_4_4 = 0 % 25.20/7.19 | (73) strictorderP(nil) = 0 % 25.20/7.19 | (74) ! [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))) % 25.20/7.19 | (75) ! [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))) % 25.20/7.20 | (76) ! [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))) % 25.20/7.20 | (77) ! [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))) % 25.20/7.20 | (78) ! [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))) % 25.20/7.20 | (79) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.20/7.20 | (80) ! [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))))) % 25.20/7.20 | (81) strictorderedP(nil) = 0 % 25.20/7.20 | (82) ! [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))) % 25.20/7.20 | (83) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) % 25.20/7.20 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 25.20/7.20 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) % 25.20/7.20 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 25.20/7.20 | (87) ! [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))) % 25.20/7.20 | (88) ! [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)))))))) % 25.20/7.20 | (89) ! [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))))))) % 25.20/7.20 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) % 25.20/7.20 | (91) singletonP(nil) = all_0_11_11 % 25.20/7.20 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) % 25.20/7.20 | (93) ! [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))) % 25.20/7.20 | (94) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 25.20/7.20 | (95) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 25.20/7.20 | (96) ! [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))))))) % 25.20/7.20 | (97) ! [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))) % 25.20/7.20 | (98) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.20/7.20 | (99) ! [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))) % 25.20/7.20 | (100) ! [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))) % 25.20/7.20 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) % 25.20/7.20 | (102) ! [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))))))) % 25.20/7.20 | (103) ! [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))) % 25.20/7.20 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) % 25.20/7.20 | (105) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.20/7.20 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 25.20/7.20 | (107) ! [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))) % 25.20/7.21 | (108) ~ (all_0_11_11 = 0) % 25.20/7.21 | (109) ssList(all_0_9_9) = 0 % 25.20/7.21 | (110) ! [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))) % 25.20/7.21 | (111) ! [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))))) % 25.20/7.21 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) % 25.20/7.21 | (113) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 25.20/7.21 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) % 25.20/7.21 | (115) ! [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)))))))) % 25.20/7.21 | (116) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.20/7.21 | (117) ! [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))) % 25.20/7.21 | (118) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.20/7.21 | (119) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.20/7.21 | (120) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 25.20/7.21 | (121) app(all_0_6_6, all_0_7_7) = all_0_5_5 % 25.20/7.21 | (122) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) % 25.20/7.21 | (123) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 25.20/7.21 | (124) ! [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))) % 25.20/7.21 | (125) ! [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))))))) % 25.20/7.21 | (126) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) % 25.20/7.21 | (127) cons(all_0_8_8, nil) = all_0_7_7 % 25.20/7.21 | (128) ~ (all_0_0_0 = all_0_1_1) % 25.20/7.21 | (129) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) % 25.20/7.21 | (130) ! [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)))) % 25.20/7.21 | (131) ! [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))))) % 25.20/7.21 | (132) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.20/7.21 | (133) ! [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))))) % 25.20/7.21 | (134) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 25.20/7.21 | (135) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.20/7.21 | (136) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 25.20/7.21 | (137) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.20/7.21 | (138) ! [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))) % 25.20/7.21 | (139) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) % 25.20/7.21 | (140) ! [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))) % 25.20/7.21 | (141) totalorderP(nil) = 0 % 25.20/7.21 | (142) ! [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))))) % 25.20/7.21 | (143) ssList(all_0_6_6) = 0 % 25.20/7.21 | (144) ! [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))))) % 25.20/7.21 | (145) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 25.20/7.22 | (146) ssList(all_0_10_10) = 0 % 25.20/7.22 | (147) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 25.20/7.22 | (148) ! [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)))) % 25.20/7.22 | (149) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 25.20/7.22 | (150) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) % 25.20/7.22 | (151) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) % 25.20/7.22 | (152) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) % 25.20/7.22 | (153) ssList(nil) = 0 % 25.20/7.22 | (154) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (22) with all_0_7_7, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (155) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (150) with all_0_7_7, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (156) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (11) with all_0_7_7, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (157) ? [v0] : ? [v1] : (ssList(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (137) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (158) ? [v0] : ? [v1] : (equalelemsP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (5) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (159) ? [v0] : ? [v1] : (duplicatefreeP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (32) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (160) ? [v0] : ? [v1] : (strictorderedP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (119) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (161) ? [v0] : ? [v1] : (totalorderedP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (145) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (162) ? [v0] : ? [v1] : (strictorderP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (48) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (163) ? [v0] : ? [v1] : (totalorderP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (135) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields: % 25.20/7.22 | (164) ? [v0] : ? [v1] : (cyclefreeP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (84) with all_0_5_5, all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, app(all_0_6_6, all_0_7_7) = all_0_5_5, yields: % 25.20/7.22 | (165) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (70) with all_0_10_10, all_0_3_3, all_0_5_5, all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, app(all_0_5_5, all_0_3_3) = all_0_10_10, app(all_0_6_6, all_0_7_7) = all_0_5_5, yields: % 25.20/7.22 | (166) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_6_6, v1) = v2 & app(all_0_7_7, all_0_3_3) = v1 & ( ~ (v0 = 0) | v2 = all_0_10_10))) % 25.20/7.22 | % 25.20/7.22 | Instantiating formula (57) with all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, app(all_0_6_6, all_0_7_7) = all_0_5_5, yields: % 25.20/7.22 | (167) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssItem(all_0_8_8) = v0) | (memberP(all_0_6_6, all_0_8_8) = v1 & ssList(all_0_6_6) = v0 & ( ~ (v0 = 0) | ! [v2] : ( ~ (app(all_0_5_5, v2) = all_0_10_10) | ? [v3] : ? [v4] : (memberP(v2, all_0_8_8) = v4 & ssList(v2) = v3 & ( ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v1 = 0)))))))) % 25.20/7.22 | % 25.20/7.22 | Instantiating (167) with all_8_0_12, all_8_1_13 yields: % 25.20/7.22 | (168) ( ~ (all_8_1_13 = 0) & ssItem(all_0_8_8) = all_8_1_13) | (memberP(all_0_6_6, all_0_8_8) = all_8_0_12 & ssList(all_0_6_6) = all_8_1_13 & ( ~ (all_8_1_13 = 0) | ! [v0] : ( ~ (app(all_0_5_5, v0) = all_0_10_10) | ? [v1] : ? [v2] : (memberP(v0, all_0_8_8) = v2 & ssList(v0) = v1 & ( ~ (v1 = 0) | ( ~ (v2 = 0) & ~ (all_8_0_12 = 0))))))) % 25.20/7.22 | % 25.20/7.22 | Instantiating (166) with all_9_0_14, all_9_1_15, all_9_2_16 yields: % 25.20/7.22 | (169) ( ~ (all_9_2_16 = 0) & ssList(all_0_7_7) = all_9_2_16) | (ssList(all_0_3_3) = all_9_2_16 & app(all_0_6_6, all_9_1_15) = all_9_0_14 & app(all_0_7_7, all_0_3_3) = all_9_1_15 & ( ~ (all_9_2_16 = 0) | all_9_0_14 = all_0_10_10)) % 25.20/7.22 | % 25.20/7.22 | Instantiating (165) with all_10_0_17, all_10_1_18 yields: % 25.20/7.22 | (170) ssList(all_0_5_5) = all_10_0_17 & ssList(all_0_7_7) = all_10_1_18 & ( ~ (all_10_1_18 = 0) | all_10_0_17 = 0) % 25.20/7.22 | % 25.20/7.22 | Applying alpha-rule on (170) yields: % 25.20/7.22 | (171) ssList(all_0_5_5) = all_10_0_17 % 25.20/7.22 | (172) ssList(all_0_7_7) = all_10_1_18 % 25.20/7.22 | (173) ~ (all_10_1_18 = 0) | all_10_0_17 = 0 % 25.20/7.22 | % 25.20/7.22 | Instantiating (163) with all_12_0_19, all_12_1_20 yields: % 25.20/7.22 | (174) totalorderP(all_0_7_7) = all_12_0_19 & ssItem(all_0_8_8) = all_12_1_20 & ( ~ (all_12_1_20 = 0) | all_12_0_19 = 0) % 25.20/7.22 | % 25.20/7.22 | Applying alpha-rule on (174) yields: % 25.20/7.22 | (175) totalorderP(all_0_7_7) = all_12_0_19 % 25.20/7.22 | (176) ssItem(all_0_8_8) = all_12_1_20 % 25.20/7.22 | (177) ~ (all_12_1_20 = 0) | all_12_0_19 = 0 % 25.20/7.22 | % 25.20/7.22 | Instantiating (161) with all_14_0_21, all_14_1_22 yields: % 25.20/7.22 | (178) totalorderedP(all_0_7_7) = all_14_0_21 & ssItem(all_0_8_8) = all_14_1_22 & ( ~ (all_14_1_22 = 0) | all_14_0_21 = 0) % 25.20/7.22 | % 25.20/7.22 | Applying alpha-rule on (178) yields: % 25.20/7.22 | (179) totalorderedP(all_0_7_7) = all_14_0_21 % 25.20/7.22 | (180) ssItem(all_0_8_8) = all_14_1_22 % 25.20/7.22 | (181) ~ (all_14_1_22 = 0) | all_14_0_21 = 0 % 25.20/7.22 | % 25.20/7.22 | Instantiating (160) with all_16_0_23, all_16_1_24 yields: % 25.20/7.22 | (182) strictorderedP(all_0_7_7) = all_16_0_23 & ssItem(all_0_8_8) = all_16_1_24 & ( ~ (all_16_1_24 = 0) | all_16_0_23 = 0) % 25.20/7.22 | % 25.20/7.22 | Applying alpha-rule on (182) yields: % 25.20/7.22 | (183) strictorderedP(all_0_7_7) = all_16_0_23 % 25.20/7.22 | (184) ssItem(all_0_8_8) = all_16_1_24 % 25.20/7.22 | (185) ~ (all_16_1_24 = 0) | all_16_0_23 = 0 % 25.20/7.22 | % 25.20/7.22 | Instantiating (156) with all_18_0_25, all_18_1_26 yields: % 25.20/7.22 | (186) hd(all_0_7_7) = all_18_0_25 & ssItem(all_0_8_8) = all_18_1_26 & ( ~ (all_18_1_26 = 0) | all_18_0_25 = all_0_8_8) % 25.20/7.22 | % 25.20/7.22 | Applying alpha-rule on (186) yields: % 25.20/7.22 | (187) hd(all_0_7_7) = all_18_0_25 % 25.20/7.22 | (188) ssItem(all_0_8_8) = all_18_1_26 % 25.20/7.22 | (189) ~ (all_18_1_26 = 0) | all_18_0_25 = all_0_8_8 % 25.20/7.22 | % 25.20/7.22 | Instantiating (155) with all_20_0_27, all_20_1_28 yields: % 25.20/7.22 | (190) tl(all_0_7_7) = all_20_0_27 & ssItem(all_0_8_8) = all_20_1_28 & ( ~ (all_20_1_28 = 0) | all_20_0_27 = nil) % 25.37/7.23 | % 25.37/7.23 | Applying alpha-rule on (190) yields: % 25.37/7.23 | (191) tl(all_0_7_7) = all_20_0_27 % 25.37/7.23 | (192) ssItem(all_0_8_8) = all_20_1_28 % 25.37/7.23 | (193) ~ (all_20_1_28 = 0) | all_20_0_27 = nil % 25.37/7.23 | % 25.37/7.23 | Instantiating (162) with all_22_0_29, all_22_1_30 yields: % 25.37/7.23 | (194) strictorderP(all_0_7_7) = all_22_0_29 & ssItem(all_0_8_8) = all_22_1_30 & ( ~ (all_22_1_30 = 0) | all_22_0_29 = 0) % 25.37/7.23 | % 25.37/7.23 | Applying alpha-rule on (194) yields: % 25.37/7.23 | (195) strictorderP(all_0_7_7) = all_22_0_29 % 25.37/7.23 | (196) ssItem(all_0_8_8) = all_22_1_30 % 25.37/7.23 | (197) ~ (all_22_1_30 = 0) | all_22_0_29 = 0 % 25.37/7.23 | % 25.37/7.23 | Instantiating (159) with all_24_0_31, all_24_1_32 yields: % 25.37/7.23 | (198) duplicatefreeP(all_0_7_7) = all_24_0_31 & ssItem(all_0_8_8) = all_24_1_32 & ( ~ (all_24_1_32 = 0) | all_24_0_31 = 0) % 25.37/7.23 | % 25.37/7.23 | Applying alpha-rule on (198) yields: % 25.37/7.23 | (199) duplicatefreeP(all_0_7_7) = all_24_0_31 % 25.37/7.23 | (200) ssItem(all_0_8_8) = all_24_1_32 % 25.37/7.23 | (201) ~ (all_24_1_32 = 0) | all_24_0_31 = 0 % 25.37/7.23 | % 25.37/7.23 | Instantiating (157) with all_26_0_33, all_26_1_34 yields: % 25.37/7.23 | (202) ssList(all_0_7_7) = all_26_0_33 & ssItem(all_0_8_8) = all_26_1_34 & ( ~ (all_26_1_34 = 0) | all_26_0_33 = 0) % 25.37/7.23 | % 25.37/7.23 | Applying alpha-rule on (202) yields: % 25.37/7.23 | (203) ssList(all_0_7_7) = all_26_0_33 % 25.37/7.23 | (204) ssItem(all_0_8_8) = all_26_1_34 % 25.37/7.23 | (205) ~ (all_26_1_34 = 0) | all_26_0_33 = 0 % 25.37/7.23 | % 25.37/7.24 | Instantiating (158) with all_28_0_35, all_28_1_36 yields: % 25.37/7.24 | (206) equalelemsP(all_0_7_7) = all_28_0_35 & ssItem(all_0_8_8) = all_28_1_36 & ( ~ (all_28_1_36 = 0) | all_28_0_35 = 0) % 25.37/7.24 | % 25.37/7.24 | Applying alpha-rule on (206) yields: % 25.37/7.24 | (207) equalelemsP(all_0_7_7) = all_28_0_35 % 25.37/7.24 | (208) ssItem(all_0_8_8) = all_28_1_36 % 25.37/7.24 | (209) ~ (all_28_1_36 = 0) | all_28_0_35 = 0 % 25.37/7.24 | % 25.37/7.24 | Instantiating (164) with all_30_0_37, all_30_1_38 yields: % 25.37/7.24 | (210) cyclefreeP(all_0_7_7) = all_30_0_37 & ssItem(all_0_8_8) = all_30_1_38 & ( ~ (all_30_1_38 = 0) | all_30_0_37 = 0) % 25.37/7.24 | % 25.37/7.24 | Applying alpha-rule on (210) yields: % 25.37/7.24 | (211) cyclefreeP(all_0_7_7) = all_30_0_37 % 25.37/7.24 | (212) ssItem(all_0_8_8) = all_30_1_38 % 25.37/7.24 | (213) ~ (all_30_1_38 = 0) | all_30_0_37 = 0 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (136) with all_0_7_7, all_10_1_18, all_26_0_33 and discharging atoms ssList(all_0_7_7) = all_26_0_33, ssList(all_0_7_7) = all_10_1_18, yields: % 25.37/7.24 | (214) all_26_0_33 = all_10_1_18 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_26_1_34, all_28_1_36 and discharging atoms ssItem(all_0_8_8) = all_28_1_36, ssItem(all_0_8_8) = all_26_1_34, yields: % 25.37/7.24 | (215) all_28_1_36 = all_26_1_34 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_24_1_32, 0 and discharging atoms ssItem(all_0_8_8) = all_24_1_32, ssItem(all_0_8_8) = 0, yields: % 25.37/7.24 | (216) all_24_1_32 = 0 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_22_1_30, all_26_1_34 and discharging atoms ssItem(all_0_8_8) = all_26_1_34, ssItem(all_0_8_8) = all_22_1_30, yields: % 25.37/7.24 | (217) all_26_1_34 = all_22_1_30 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_20_1_28, all_30_1_38 and discharging atoms ssItem(all_0_8_8) = all_30_1_38, ssItem(all_0_8_8) = all_20_1_28, yields: % 25.37/7.24 | (218) all_30_1_38 = all_20_1_28 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_20_1_28, all_24_1_32 and discharging atoms ssItem(all_0_8_8) = all_24_1_32, ssItem(all_0_8_8) = all_20_1_28, yields: % 25.37/7.24 | (219) all_24_1_32 = all_20_1_28 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_18_1_26, all_28_1_36 and discharging atoms ssItem(all_0_8_8) = all_28_1_36, ssItem(all_0_8_8) = all_18_1_26, yields: % 25.37/7.24 | (220) all_28_1_36 = all_18_1_26 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_16_1_24, all_30_1_38 and discharging atoms ssItem(all_0_8_8) = all_30_1_38, ssItem(all_0_8_8) = all_16_1_24, yields: % 25.37/7.24 | (221) all_30_1_38 = all_16_1_24 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_16_1_24, all_28_1_36 and discharging atoms ssItem(all_0_8_8) = all_28_1_36, ssItem(all_0_8_8) = all_16_1_24, yields: % 25.37/7.24 | (222) all_28_1_36 = all_16_1_24 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_14_1_22, all_30_1_38 and discharging atoms ssItem(all_0_8_8) = all_30_1_38, ssItem(all_0_8_8) = all_14_1_22, yields: % 25.37/7.24 | (223) all_30_1_38 = all_14_1_22 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_12_1_20, all_26_1_34 and discharging atoms ssItem(all_0_8_8) = all_26_1_34, ssItem(all_0_8_8) = all_12_1_20, yields: % 25.37/7.24 | (224) all_26_1_34 = all_12_1_20 % 25.37/7.24 | % 25.37/7.24 | Combining equations (218,223) yields a new equation: % 25.37/7.24 | (225) all_20_1_28 = all_14_1_22 % 25.37/7.24 | % 25.37/7.24 | Simplifying 225 yields: % 25.37/7.24 | (226) all_20_1_28 = all_14_1_22 % 25.37/7.24 | % 25.37/7.24 | Combining equations (221,223) yields a new equation: % 25.37/7.24 | (227) all_16_1_24 = all_14_1_22 % 25.37/7.24 | % 25.37/7.24 | Simplifying 227 yields: % 25.37/7.24 | (228) all_16_1_24 = all_14_1_22 % 25.37/7.24 | % 25.37/7.24 | Combining equations (215,220) yields a new equation: % 25.37/7.24 | (229) all_26_1_34 = all_18_1_26 % 25.37/7.24 | % 25.37/7.24 | Simplifying 229 yields: % 25.37/7.24 | (230) all_26_1_34 = all_18_1_26 % 25.37/7.24 | % 25.37/7.24 | Combining equations (222,220) yields a new equation: % 25.37/7.24 | (231) all_18_1_26 = all_16_1_24 % 25.37/7.24 | % 25.37/7.24 | Combining equations (224,217) yields a new equation: % 25.37/7.24 | (232) all_22_1_30 = all_12_1_20 % 25.37/7.24 | % 25.37/7.24 | Combining equations (230,217) yields a new equation: % 25.37/7.24 | (233) all_22_1_30 = all_18_1_26 % 25.37/7.24 | % 25.37/7.24 | Combining equations (219,216) yields a new equation: % 25.37/7.24 | (234) all_20_1_28 = 0 % 25.37/7.24 | % 25.37/7.24 | Simplifying 234 yields: % 25.37/7.24 | (235) all_20_1_28 = 0 % 25.37/7.24 | % 25.37/7.24 | Combining equations (233,232) yields a new equation: % 25.37/7.24 | (236) all_18_1_26 = all_12_1_20 % 25.37/7.24 | % 25.37/7.24 | Simplifying 236 yields: % 25.37/7.24 | (237) all_18_1_26 = all_12_1_20 % 25.37/7.24 | % 25.37/7.24 | Combining equations (226,235) yields a new equation: % 25.37/7.24 | (238) all_14_1_22 = 0 % 25.37/7.24 | % 25.37/7.24 | Simplifying 238 yields: % 25.37/7.24 | (239) all_14_1_22 = 0 % 25.37/7.24 | % 25.37/7.24 | Combining equations (231,237) yields a new equation: % 25.37/7.24 | (240) all_16_1_24 = all_12_1_20 % 25.37/7.24 | % 25.37/7.24 | Simplifying 240 yields: % 25.37/7.24 | (241) all_16_1_24 = all_12_1_20 % 25.37/7.24 | % 25.37/7.24 | Combining equations (228,241) yields a new equation: % 25.37/7.24 | (242) all_14_1_22 = all_12_1_20 % 25.37/7.24 | % 25.37/7.24 | Simplifying 242 yields: % 25.37/7.24 | (243) all_14_1_22 = all_12_1_20 % 25.37/7.24 | % 25.37/7.24 | Combining equations (239,243) yields a new equation: % 25.37/7.24 | (244) all_12_1_20 = 0 % 25.37/7.24 | % 25.37/7.24 | Combining equations (244,232) yields a new equation: % 25.37/7.24 | (245) all_22_1_30 = 0 % 25.37/7.24 | % 25.37/7.24 | Combining equations (245,217) yields a new equation: % 25.37/7.24 | (246) all_26_1_34 = 0 % 25.37/7.24 | % 25.37/7.24 | From (214) and (203) follows: % 25.37/7.24 | (172) ssList(all_0_7_7) = all_10_1_18 % 25.37/7.24 | % 25.37/7.24 | From (244) and (176) follows: % 25.37/7.24 | (4) ssItem(all_0_8_8) = 0 % 25.37/7.24 | % 25.37/7.24 +-Applying beta-rule and splitting (168), into two cases. % 25.37/7.24 |-Branch one: % 25.37/7.24 | (249) ~ (all_8_1_13 = 0) & ssItem(all_0_8_8) = all_8_1_13 % 25.37/7.24 | % 25.37/7.24 | Applying alpha-rule on (249) yields: % 25.37/7.24 | (250) ~ (all_8_1_13 = 0) % 25.37/7.24 | (251) ssItem(all_0_8_8) = all_8_1_13 % 25.37/7.24 | % 25.37/7.24 | Instantiating formula (69) with all_0_8_8, all_8_1_13, 0 and discharging atoms ssItem(all_0_8_8) = all_8_1_13, ssItem(all_0_8_8) = 0, yields: % 25.41/7.24 | (252) all_8_1_13 = 0 % 25.41/7.24 | % 25.41/7.24 | Equations (252) can reduce 250 to: % 25.41/7.24 | (253) $false % 25.41/7.24 | % 25.41/7.24 |-The branch is then unsatisfiable % 25.41/7.24 |-Branch two: % 25.41/7.24 | (254) memberP(all_0_6_6, all_0_8_8) = all_8_0_12 & ssList(all_0_6_6) = all_8_1_13 & ( ~ (all_8_1_13 = 0) | ! [v0] : ( ~ (app(all_0_5_5, v0) = all_0_10_10) | ? [v1] : ? [v2] : (memberP(v0, all_0_8_8) = v2 & ssList(v0) = v1 & ( ~ (v1 = 0) | ( ~ (v2 = 0) & ~ (all_8_0_12 = 0)))))) % 25.41/7.24 | % 25.41/7.24 | Applying alpha-rule on (254) yields: % 25.41/7.24 | (255) memberP(all_0_6_6, all_0_8_8) = all_8_0_12 % 25.41/7.24 | (256) ssList(all_0_6_6) = all_8_1_13 % 25.41/7.24 | (257) ~ (all_8_1_13 = 0) | ! [v0] : ( ~ (app(all_0_5_5, v0) = all_0_10_10) | ? [v1] : ? [v2] : (memberP(v0, all_0_8_8) = v2 & ssList(v0) = v1 & ( ~ (v1 = 0) | ( ~ (v2 = 0) & ~ (all_8_0_12 = 0))))) % 25.41/7.24 | % 25.41/7.24 +-Applying beta-rule and splitting (205), into two cases. % 25.41/7.24 |-Branch one: % 25.41/7.24 | (258) ~ (all_26_1_34 = 0) % 25.41/7.24 | % 25.41/7.24 | Equations (246) can reduce 258 to: % 25.41/7.24 | (253) $false % 25.41/7.24 | % 25.41/7.24 |-The branch is then unsatisfiable % 25.41/7.24 |-Branch two: % 25.41/7.24 | (246) all_26_1_34 = 0 % 25.41/7.24 | (261) all_26_0_33 = 0 % 25.41/7.24 | % 25.41/7.24 | Combining equations (261,214) yields a new equation: % 25.41/7.24 | (262) all_10_1_18 = 0 % 25.41/7.24 | % 25.41/7.24 | From (262) and (172) follows: % 25.41/7.24 | (263) ssList(all_0_7_7) = 0 % 25.41/7.24 | % 25.41/7.24 +-Applying beta-rule and splitting (169), into two cases. % 25.41/7.24 |-Branch one: % 25.41/7.24 | (264) ~ (all_9_2_16 = 0) & ssList(all_0_7_7) = all_9_2_16 % 25.41/7.24 | % 25.41/7.24 | Applying alpha-rule on (264) yields: % 25.41/7.24 | (265) ~ (all_9_2_16 = 0) % 25.41/7.24 | (266) ssList(all_0_7_7) = all_9_2_16 % 25.41/7.24 | % 25.41/7.24 | Instantiating formula (136) with all_0_7_7, all_9_2_16, 0 and discharging atoms ssList(all_0_7_7) = all_9_2_16, ssList(all_0_7_7) = 0, yields: % 25.41/7.24 | (267) all_9_2_16 = 0 % 25.41/7.24 | % 25.41/7.24 | Equations (267) can reduce 265 to: % 25.41/7.24 | (253) $false % 25.41/7.24 | % 25.41/7.24 |-The branch is then unsatisfiable % 25.41/7.24 |-Branch two: % 25.41/7.24 | (269) ssList(all_0_3_3) = all_9_2_16 & app(all_0_6_6, all_9_1_15) = all_9_0_14 & app(all_0_7_7, all_0_3_3) = all_9_1_15 & ( ~ (all_9_2_16 = 0) | all_9_0_14 = all_0_10_10) % 25.41/7.25 | % 25.41/7.25 | Applying alpha-rule on (269) yields: % 25.41/7.25 | (270) ssList(all_0_3_3) = all_9_2_16 % 25.41/7.25 | (271) app(all_0_6_6, all_9_1_15) = all_9_0_14 % 25.41/7.25 | (272) app(all_0_7_7, all_0_3_3) = all_9_1_15 % 25.41/7.25 | (273) ~ (all_9_2_16 = 0) | all_9_0_14 = all_0_10_10 % 25.41/7.25 | % 25.41/7.25 | Instantiating formula (38) with all_0_6_6, all_0_8_8, all_8_0_12, all_0_4_4 and discharging atoms memberP(all_0_6_6, all_0_8_8) = all_8_0_12, memberP(all_0_6_6, all_0_8_8) = all_0_4_4, yields: % 25.41/7.25 | (274) all_8_0_12 = all_0_4_4 % 25.41/7.25 | % 25.41/7.25 | Instantiating formula (136) with all_0_3_3, all_9_2_16, 0 and discharging atoms ssList(all_0_3_3) = all_9_2_16, ssList(all_0_3_3) = 0, yields: % 25.41/7.25 | (267) all_9_2_16 = 0 % 25.41/7.25 | % 25.41/7.25 | Instantiating formula (136) with all_0_6_6, all_8_1_13, 0 and discharging atoms ssList(all_0_6_6) = all_8_1_13, ssList(all_0_6_6) = 0, yields: % 25.41/7.25 | (252) all_8_1_13 = 0 % 25.41/7.25 | % 25.41/7.25 | From (267) and (270) follows: % 25.41/7.25 | (66) ssList(all_0_3_3) = 0 % 25.41/7.25 | % 25.41/7.25 +-Applying beta-rule and splitting (257), into two cases. % 25.41/7.25 |-Branch one: % 25.41/7.25 | (250) ~ (all_8_1_13 = 0) % 25.41/7.25 | % 25.41/7.25 | Equations (252) can reduce 250 to: % 25.41/7.25 | (253) $false % 25.41/7.25 | % 25.41/7.25 |-The branch is then unsatisfiable % 25.41/7.25 |-Branch two: % 25.41/7.25 | (252) all_8_1_13 = 0 % 25.41/7.25 | (281) ! [v0] : ( ~ (app(all_0_5_5, v0) = all_0_10_10) | ? [v1] : ? [v2] : (memberP(v0, all_0_8_8) = v2 & ssList(v0) = v1 & ( ~ (v1 = 0) | ( ~ (v2 = 0) & ~ (all_8_0_12 = 0))))) % 25.41/7.25 | % 25.41/7.25 | Instantiating formula (281) with all_0_3_3 and discharging atoms app(all_0_5_5, all_0_3_3) = all_0_10_10, yields: % 25.41/7.25 | (282) ? [v0] : ? [v1] : (memberP(all_0_3_3, all_0_8_8) = v1 & ssList(all_0_3_3) = v0 & ( ~ (v0 = 0) | ( ~ (v1 = 0) & ~ (all_8_0_12 = 0)))) % 25.41/7.25 | % 25.41/7.25 | Instantiating (282) with all_108_0_39, all_108_1_40 yields: % 25.41/7.25 | (283) memberP(all_0_3_3, all_0_8_8) = all_108_0_39 & ssList(all_0_3_3) = all_108_1_40 & ( ~ (all_108_1_40 = 0) | ( ~ (all_108_0_39 = 0) & ~ (all_8_0_12 = 0))) % 25.41/7.25 | % 25.41/7.25 | Applying alpha-rule on (283) yields: % 25.41/7.25 | (284) memberP(all_0_3_3, all_0_8_8) = all_108_0_39 % 25.41/7.25 | (285) ssList(all_0_3_3) = all_108_1_40 % 25.41/7.25 | (286) ~ (all_108_1_40 = 0) | ( ~ (all_108_0_39 = 0) & ~ (all_8_0_12 = 0)) % 25.41/7.25 | % 25.41/7.25 | Instantiating formula (38) with all_0_3_3, all_0_8_8, all_108_0_39, all_0_2_2 and discharging atoms memberP(all_0_3_3, all_0_8_8) = all_108_0_39, memberP(all_0_3_3, all_0_8_8) = all_0_2_2, yields: % 25.41/7.25 | (287) all_108_0_39 = all_0_2_2 % 25.41/7.25 | % 25.41/7.25 | Instantiating formula (136) with all_0_3_3, all_108_1_40, 0 and discharging atoms ssList(all_0_3_3) = all_108_1_40, ssList(all_0_3_3) = 0, yields: % 25.41/7.25 | (288) all_108_1_40 = 0 % 25.41/7.25 | % 25.41/7.25 +-Applying beta-rule and splitting (286), into two cases. % 25.41/7.25 |-Branch one: % 25.41/7.25 | (289) ~ (all_108_1_40 = 0) % 25.41/7.25 | % 25.41/7.25 | Equations (288) can reduce 289 to: % 25.41/7.25 | (253) $false % 25.41/7.25 | % 25.41/7.25 |-The branch is then unsatisfiable % 25.41/7.25 |-Branch two: % 25.41/7.25 | (288) all_108_1_40 = 0 % 25.41/7.25 | (292) ~ (all_108_0_39 = 0) & ~ (all_8_0_12 = 0) % 25.41/7.25 | % 25.41/7.25 | Applying alpha-rule on (292) yields: % 25.41/7.25 | (293) ~ (all_108_0_39 = 0) % 25.41/7.25 | (294) ~ (all_8_0_12 = 0) % 25.41/7.25 | % 25.41/7.25 | Equations (287) can reduce 293 to: % 25.41/7.25 | (295) ~ (all_0_2_2 = 0) % 25.41/7.25 | % 25.41/7.25 | Equations (274) can reduce 294 to: % 25.41/7.25 | (296) ~ (all_0_4_4 = 0) % 25.41/7.25 | % 25.41/7.25 +-Applying beta-rule and splitting (72), into two cases. % 25.41/7.25 |-Branch one: % 25.41/7.25 | (297) all_0_2_2 = 0 % 25.41/7.25 | % 25.41/7.25 | Equations (297) can reduce 295 to: % 25.41/7.25 | (253) $false % 25.41/7.25 | % 25.41/7.25 |-The branch is then unsatisfiable % 25.41/7.25 |-Branch two: % 25.41/7.25 | (295) ~ (all_0_2_2 = 0) % 25.41/7.25 | (300) all_0_4_4 = 0 % 25.41/7.25 | % 25.41/7.25 | Equations (300) can reduce 296 to: % 25.41/7.25 | (253) $false % 25.41/7.25 | % 25.41/7.25 |-The branch is then unsatisfiable % 25.41/7.25 % SZS output end Proof for theBenchmark % 25.41/7.25 % 25.41/7.25 6651ms %------------------------------------------------------------------------------