%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWC386+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 20:17:51 EDT 2022 % Result : Theorem 20.84s 6.41s % Output : Proof 23.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SWC386+1 : TPTP v8.1.0. Released v2.4.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n009.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jun 12 20:30:53 EDT 2022 % 0.12/0.33 % CPUTime : % 0.55/0.58 ____ _ % 0.55/0.58 ___ / __ \_____(_)___ ________ __________ % 0.55/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.55/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.55/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.55/0.58 % 0.55/0.58 A Theorem Prover for First-Order Logic % 0.55/0.58 (ePrincess v.1.0) % 0.55/0.58 % 0.55/0.58 (c) Philipp Rümmer, 2009-2015 % 0.55/0.58 (c) Peter Backeman, 2014-2015 % 0.55/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.55/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.55/0.58 Bug reports to peter@backeman.se % 0.55/0.58 % 0.55/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.55/0.58 % 0.55/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.76/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.36/1.08 Prover 0: Preprocessing ... % 4.47/1.67 Prover 0: Constructing countermodel ... % 18.62/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 18.96/6.07 Prover 1: Preprocessing ... % 20.34/6.32 Prover 1: Constructing countermodel ... % 20.72/6.41 Prover 1: proved (485ms) % 20.84/6.41 Prover 0: stopped % 20.84/6.41 % 20.84/6.41 No countermodel exists, formula is valid % 20.84/6.41 % SZS status Theorem for theBenchmark % 20.84/6.41 % 20.84/6.41 Generating proof ... found it (size 103) % 22.76/6.86 % 22.76/6.86 % SZS output start Proof for theBenchmark % 22.76/6.86 Assumed formulas after preprocessing and simplification: % 22.76/6.86 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & neq(v2, nil) = v3 & ssItem(v9) = 0 & ssItem(v8) = 0 & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v13 = 0 | ~ (strictorderedP(v10) = 0) | ~ (lt(v11, v12) = v13) | ~ (ssList(v14) = 0) | ~ (cons(v12, v18) = v19) | ~ (cons(v11, v15) = v16) | ~ (app(v17, v19) = v10) | ~ (app(v14, v16) = v17) | ~ (ssItem(v11) = 0) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20) | ( ~ (v20 = 0) & ssList(v10) = v20) | ( ~ (v20 = 0) & ssItem(v12) = v20))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v13 = 0 | ~ (totalorderedP(v10) = 0) | ~ (leq(v11, v12) = v13) | ~ (ssList(v14) = 0) | ~ (cons(v12, v18) = v19) | ~ (cons(v11, v15) = v16) | ~ (app(v17, v19) = v10) | ~ (app(v14, v16) = v17) | ~ (ssItem(v11) = 0) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20) | ( ~ (v20 = 0) & ssList(v10) = v20) | ( ~ (v20 = 0) & ssItem(v12) = v20))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (duplicatefreeP(v10) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v11, v16) = v17) | ~ (cons(v11, v13) = v14) | ~ (app(v15, v17) = v10) | ~ (app(v12, v14) = v15) | ~ (ssItem(v11) = 0) | ? [v18] : (( ~ (v18 = 0) & ssList(v16) = v18) | ( ~ (v18 = 0) & ssList(v13) = v18) | ( ~ (v18 = 0) & ssList(v10) = v18))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (segmentP(v15, v11) = v16) | ~ (segmentP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ~ (app(v13, v14) = v15) | ~ (app(v12, v10) = v13) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v12) = v17) | ( ~ (v17 = 0) & ssList(v11) = v17))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v12 = v11 | ~ (equalelemsP(v10) = 0) | ~ (ssList(v13) = 0) | ~ (cons(v12, v14) = v15) | ~ (cons(v11, v15) = v16) | ~ (app(v13, v16) = v10) | ~ (ssItem(v12) = 0) | ~ (ssItem(v11) = 0) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v10) = v17))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (frontsegP(v13, v15) = v16) | ~ (cons(v11, v14) = v15) | ~ (cons(v10, v12) = v13) | ~ (ssItem(v11) = 0) | ~ (ssItem(v10) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v12) = v17) | (frontsegP(v12, v14) = v18 & ssList(v14) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v11 = v10) | v16 = 0) & ( ~ (v16 = 0) | (v18 = 0 & v11 = v10))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = 0 | ~ (segmentP(v10, v11) = v12) | ~ (ssList(v10) = 0) | ~ (app(v14, v15) = v10) | ~ (app(v13, v11) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v11) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = 0 | ~ (memberP(v10, v11) = v12) | ~ (ssList(v13) = 0) | ~ (ssList(v10) = 0) | ~ (cons(v11, v14) = v15) | ~ (app(v13, v15) = v10) | ? [v16] : (( ~ (v16 = 0) & ssList(v14) = v16) | ( ~ (v16 = 0) & ssItem(v11) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (memberP(v14, v10) = v15) | ~ (memberP(v11, v10) = v12) | ~ (app(v11, v13) = v14) | ~ (ssItem(v10) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v11) = v16) | (memberP(v13, v10) = v17 & ssList(v13) = v16 & ( ~ (v16 = 0) | (( ~ (v15 = 0) | v17 = 0 | v12 = 0) & (v15 = 0 | ( ~ (v17 = 0) & ~ (v12 = 0)))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v10) = 0) | ~ (cons(v13, v11) = v14) | ~ (app(v14, v10) = v15) | ~ (app(v11, v10) = v12) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v11) = v16) | (cons(v13, v12) = v17 & ssItem(v13) = v16 & ( ~ (v16 = 0) | v17 = v15)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (ssList(v11) = 0) | ~ (ssList(v10) = 0) | ~ (cons(v14, v11) = v13) | ~ (cons(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssItem(v14) = v15) | ( ~ (v15 = 0) & ssItem(v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (rearsegP(v13, v11) = v14) | ~ (rearsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ~ (app(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssList(v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (frontsegP(v13, v11) = v14) | ~ (frontsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ~ (app(v10, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssList(v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (ssList(v11) = 0) | ~ (ssList(v10) = 0) | ~ (cons(v14, v11) = v13) | ~ (cons(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssItem(v14) = v15) | ( ~ (v15 = 0) & ssItem(v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (memberP(v13, v10) = v14) | ~ (cons(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ~ (ssItem(v10) = 0) | ? [v15] : ? [v16] : (memberP(v12, v10) = v16 & ssList(v12) = v15 & ( ~ (v15 = 0) | (( ~ (v14 = 0) | v16 = 0 | v11 = v10) & (v14 = 0 | ( ~ (v16 = 0) & ~ (v11 = v10))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v10) = 0) | ~ (app(v12, v13) = v14) | ~ (app(v10, v11) = v12) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & ssList(v11) = v15) | (ssList(v13) = v15 & app(v11, v13) = v16 & app(v10, v16) = v17 & ( ~ (v15 = 0) | v17 = v14)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v10 | v10 = nil | ~ (tl(v10) = v12) | ~ (hd(v10) = v11) | ~ (cons(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v10 | ~ (ssList(v10) = 0) | ~ (app(v13, v11) = v12) | ~ (app(v10, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v13) = v14) | ( ~ (v14 = 0) & ssList(v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v10 | ~ (ssList(v10) = 0) | ~ (app(v11, v13) = v12) | ~ (app(v11, v10) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v13) = v14) | ( ~ (v14 = 0) & ssList(v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (gt(v10, v12) = v13) | ~ (gt(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (gt(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (geq(v10, v12) = v13) | ~ (geq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (geq(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (lt(v10, v12) = v13) | ~ (lt(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (lt(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (lt(v10, v12) = v13) | ~ (leq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (lt(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v10, v12) = v13) | ~ (leq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (leq(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (segmentP(v10, v12) = v13) | ~ (segmentP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v11) = v14) | (segmentP(v11, v12) = v15 & ssList(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v10, v12) = v13) | ~ (rearsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v11) = v14) | (rearsegP(v11, v12) = v15 & ssList(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v10, v12) = v13) | ~ (frontsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v11) = v14) | (frontsegP(v11, v12) = v15 & ssList(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (rearsegP(v10, v11) = v12) | ~ (ssList(v10) = 0) | ~ (app(v13, v11) = v10) | ? [v14] : (( ~ (v14 = 0) & ssList(v13) = v14) | ( ~ (v14 = 0) & ssList(v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (frontsegP(v10, v11) = v12) | ~ (ssList(v10) = 0) | ~ (app(v11, v13) = v10) | ? [v14] : (( ~ (v14 = 0) & ssList(v13) = v14) | ( ~ (v14 = 0) & ssList(v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (gt(v13, v12) = v11) | ~ (gt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (geq(v13, v12) = v11) | ~ (geq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (lt(v13, v12) = v11) | ~ (lt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (leq(v13, v12) = v11) | ~ (leq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (segmentP(v13, v12) = v11) | ~ (segmentP(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (rearsegP(v13, v12) = v11) | ~ (rearsegP(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (frontsegP(v13, v12) = v11) | ~ (frontsegP(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (memberP(v13, v12) = v11) | ~ (memberP(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (cons(v13, v12) = v11) | ~ (cons(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (app(v13, v12) = v11) | ~ (app(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (neq(v13, v12) = v11) | ~ (neq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = nil | ~ (tl(v10) = v11) | ~ (app(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (( ~ (v14 = 0) & ssList(v10) = v14) | (tl(v15) = v16 & ssList(v12) = v14 & app(v10, v12) = v15 & ( ~ (v14 = 0) | v16 = v13)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = nil | ~ (hd(v10) = v11) | ~ (app(v10, v12) = v13) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v10) = v14) | (hd(v13) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | v15 = v11)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (hd(v11) = v12) | ~ (lt(v10, v12) = v13) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (strictorderedP(v15) = v16 & strictorderedP(v11) = v17 & ssList(v11) = v14 & cons(v10, v11) = v15 & ( ~ (v14 = 0) | (( ~ (v16 = 0) | v11 = nil | (v17 = 0 & v13 = 0)) & (v16 = 0 | ( ~ (v11 = nil) & ( ~ (v17 = 0) | ~ (v13 = 0)))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (hd(v11) = v12) | ~ (leq(v10, v12) = v13) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (totalorderedP(v15) = v16 & totalorderedP(v11) = v17 & ssList(v11) = v14 & cons(v10, v11) = v15 & ( ~ (v14 = 0) | (( ~ (v16 = 0) | v11 = nil | (v17 = 0 & v13 = 0)) & (v16 = 0 | ( ~ (v11 = nil) & ( ~ (v17 = 0) | ~ (v13 = 0)))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (strictorderP(v10) = 0) | ~ (lt(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v10) = v14) | (lt(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | v13 = 0 | ~ (ssList(v16) = 0) | ~ (cons(v12, v20) = v21) | ~ (cons(v11, v17) = v18) | ~ (app(v19, v21) = v10) | ~ (app(v16, v18) = v19) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (totalorderP(v10) = 0) | ~ (leq(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v10) = v14) | (leq(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | v13 = 0 | ~ (ssList(v16) = 0) | ~ (cons(v12, v20) = v21) | ~ (cons(v11, v17) = v18) | ~ (app(v19, v21) = v10) | ~ (app(v16, v18) = v19) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (cyclefreeP(v10) = 0) | ~ (leq(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v10) = v14) | (leq(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (v15 = 0) | ~ (v13 = 0) | ~ (ssList(v16) = 0) | ~ (cons(v12, v20) = v21) | ~ (cons(v11, v17) = v18) | ~ (app(v19, v21) = v10) | ~ (app(v16, v18) = v19) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, nil) = v12) | ~ (app(v12, v10) = v13) | ? [v14] : ? [v15] : (cons(v11, v10) = v15 & ssItem(v11) = v14 & ( ~ (v14 = 0) | v15 = v13))) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (lt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (leq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (ssList(v10) = 0) | ~ (neq(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (neq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ( ~ (v13 = 0) & ssItem(v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (tl(v12) = v11) | ~ (tl(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (hd(v12) = v11) | ~ (hd(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (equalelemsP(v12) = v11) | ~ (equalelemsP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (duplicatefreeP(v12) = v11) | ~ (duplicatefreeP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (strictorderedP(v12) = v11) | ~ (strictorderedP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (totalorderedP(v12) = v11) | ~ (totalorderedP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (strictorderP(v12) = v11) | ~ (strictorderP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (totalorderP(v12) = v11) | ~ (totalorderP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (cyclefreeP(v12) = v11) | ~ (cyclefreeP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (singletonP(v12) = v11) | ~ (singletonP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (ssList(v12) = v11) | ~ (ssList(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (ssItem(v12) = v11) | ~ (ssItem(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (singletonP(v10) = v11) | ~ (cons(v12, nil) = v10) | ? [v13] : (( ~ (v13 = 0) & ssList(v10) = v13) | ( ~ (v13 = 0) & ssItem(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (gt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (lt(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | v12 = 0) & ( ~ (v12 = 0) | v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (geq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (leq(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | v12 = 0) & ( ~ (v12 = 0) | v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (lt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (leq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | v12 = 0 | v11 = v10) & ( ~ (v12 = 0) | (v14 = 0 & ~ (v11 = v10))))))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = v12) | ? [v13] : ? [v14] : (tl(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = v10))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = v12) | ? [v13] : ? [v14] : (hd(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = v11))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = v12) | ? [v13] : ? [v14] : (ssList(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v10) = 0) | ~ (app(v10, v11) = v12) | ? [v13] : ? [v14] : (ssList(v12) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (geq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v12] : ? [v13] : (geq(v11, v10) = v13 & ssItem(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (leq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v12] : ? [v13] : (leq(v11, v10) = v13 & ssItem(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (segmentP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : (segmentP(v11, v10) = v13 & ssList(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (rearsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : (rearsegP(v11, v10) = v13 & ssList(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (frontsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : (frontsegP(v11, v10) = v13 & ssList(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (app(v10, nil) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (app(nil, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = nil | ~ (ssList(v10) = 0) | ~ (app(v10, v11) = nil) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (geq(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssItem(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (equalelemsP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v22 = v10 & v19 = 0 & v17 = 0 & v15 = 0 & v13 = 0 & ~ (v14 = v12) & ssList(v18) = 0 & ssList(v16) = 0 & cons(v14, v18) = v20 & cons(v12, v20) = v21 & app(v16, v21) = v10 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (duplicatefreeP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v10 & v23 = 0 & v19 = 0 & v17 = 0 & v15 = 0 & v14 = v12 & v13 = 0 & ssList(v22) = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v12, v22) = v24 & cons(v12, v18) = v20 & app(v21, v24) = v10 & app(v16, v20) = v21 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (strictorderedP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v10 & v24 = 0 & v20 = 0 & v18 = 0 & v15 = 0 & v13 = 0 & ~ (v16 = 0) & lt(v12, v14) = v16 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v14, v23) = v25 & cons(v12, v19) = v21 & app(v22, v25) = v10 & app(v17, v21) = v22 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (totalorderedP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v10 & v24 = 0 & v20 = 0 & v18 = 0 & v15 = 0 & v13 = 0 & ~ (v16 = 0) & leq(v12, v14) = v16 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v14, v23) = v25 & cons(v12, v19) = v21 & app(v22, v25) = v10 & app(v17, v21) = v22 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (strictorderP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v10 & v25 = 0 & v21 = 0 & v19 = 0 & v15 = 0 & v13 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & lt(v14, v12) = v17 & lt(v12, v14) = v16 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v12, v20) = v22 & app(v23, v26) = v10 & app(v18, v22) = v23 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (totalorderP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v10 & v25 = 0 & v21 = 0 & v19 = 0 & v15 = 0 & v13 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & leq(v14, v12) = v17 & leq(v12, v14) = v16 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v12, v20) = v22 & app(v23, v26) = v10 & app(v18, v22) = v23 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (cyclefreeP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v10 & v25 = 0 & v21 = 0 & v19 = 0 & v17 = 0 & v16 = 0 & v15 = 0 & v13 = 0 & leq(v14, v12) = 0 & leq(v12, v14) = 0 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v12, v20) = v22 & app(v23, v26) = v10 & app(v18, v22) = v23 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (leq(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssItem(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (segmentP(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (segmentP(v10, nil) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (rearsegP(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (rearsegP(v10, nil) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (frontsegP(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (frontsegP(v10, nil) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v10 = nil | ~ (tl(v10) = v11) | ? [v12] : ? [v13] : (ssList(v11) = v13 & ssList(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : (v10 = nil | ~ (tl(v10) = v11) | ? [v12] : ? [v13] : ((v13 = 0 & v12 = v11 & ssList(v11) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v10 = nil | ~ (hd(v10) = v11) | ? [v12] : ? [v13] : (ssList(v10) = v12 & ssItem(v11) = v13 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : (v10 = nil | ~ (hd(v10) = v11) | ? [v12] : ? [v13] : ((v13 = 0 & v12 = v11 & ssItem(v11) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v10 = nil | ~ (ssList(v10) = 0) | ~ (app(v10, v11) = nil) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v10] : ! [v11] : ( ~ (gt(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v12] : ? [v13] : (gt(v11, v10) = v13 & ssItem(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : ( ~ (tl(v10) = v11) | ? [v12] : ? [v13] : (hd(v10) = v13 & ssList(v10) = v12 & ( ~ (v12 = 0) | ! [v14] : (v14 = v10 | v14 = nil | v10 = nil | ~ (tl(v14) = v11) | ? [v15] : ? [v16] : (hd(v14) = v16 & ssList(v14) = v15 & ( ~ (v16 = v13) | ~ (v15 = 0))))))) & ! [v10] : ! [v11] : ( ~ (lt(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v12] : ? [v13] : (lt(v11, v10) = v13 & ssItem(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : ( ~ (segmentP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v10 & v16 = 0 & v13 = 0 & ssList(v15) = 0 & ssList(v12) = 0 & app(v14, v15) = v10 & app(v12, v11) = v14) | ( ~ (v12 = 0) & ssList(v11) = v12))) & ! [v10] : ! [v11] : ( ~ (rearsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : ? [v14] : ((v14 = v10 & v13 = 0 & ssList(v12) = 0 & app(v12, v11) = v10) | ( ~ (v12 = 0) & ssList(v11) = v12))) & ! [v10] : ! [v11] : ( ~ (frontsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : ? [v14] : ((v14 = v10 & v13 = 0 & ssList(v12) = 0 & app(v11, v12) = v10) | ( ~ (v12 = 0) & ssList(v11) = v12))) & ! [v10] : ! [v11] : ( ~ (memberP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v10 & v15 = 0 & v13 = 0 & ssList(v14) = 0 & ssList(v12) = 0 & cons(v11, v14) = v16 & app(v12, v16) = v10) | ( ~ (v12 = 0) & ssItem(v11) = v12))) & ! [v10] : ! [v11] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = v10) | ? [v12] : ( ~ (v12 = 0) & ssItem(v11) = v12)) & ! [v10] : ! [v11] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = nil) | ? [v12] : ( ~ (v12 = 0) & ssItem(v11) = v12)) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (equalelemsP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (duplicatefreeP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (strictorderedP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (totalorderedP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (strictorderP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (totalorderP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (cyclefreeP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : (v10 = nil | ~ (segmentP(nil, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v10] : (v10 = nil | ~ (rearsegP(nil, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v10] : (v10 = nil | ~ (frontsegP(nil, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v10] : (v10 = nil | ~ (ssList(v10) = 0) | ? [v11] : ? [v12] : (ssList(v11) = 0 & cons(v12, v11) = v10 & ssItem(v12) = 0)) & ! [v10] : (v10 = nil | ~ (app(nil, nil) = v10)) & ! [v10] : (v10 = 0 | ~ (segmentP(nil, nil) = v10)) & ! [v10] : (v10 = 0 | ~ (rearsegP(nil, nil) = v10)) & ! [v10] : (v10 = 0 | ~ (frontsegP(nil, nil) = v10)) & ! [v10] : ( ~ (lt(v10, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v10] : ( ~ (singletonP(v10) = 0) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v10 & v12 = 0 & cons(v11, nil) = v10 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v10] : ( ~ (memberP(nil, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v10] : ( ~ (ssList(v10) = 0) | ~ (neq(v10, v10) = 0)) & ! [v10] : ( ~ (neq(v10, v10) = 0) | ~ (ssItem(v10) = 0)) & ((v7 = 0 & v6 = v1 & v5 = 0 & memberP(v2, v4) = 0 & cons(v4, nil) = v1 & ssItem(v4) = 0) | (v2 = nil & v1 = nil)) & ((v3 = 0 & ! [v10] : ( ~ (cons(v10, nil) = v1) | ? [v11] : ? [v12] : (memberP(v2, v10) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0))))) | (v2 = nil & ~ (v1 = nil)))) % 23.11/6.93 | 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 yields: % 23.11/6.93 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_9_9 = 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_9_9 & ssList(all_0_7_7) = 0 & ssList(all_0_8_8) = 0 & ssList(nil) = 0 & neq(all_0_7_7, nil) = all_0_6_6 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & ((all_0_2_2 = 0 & all_0_3_3 = all_0_8_8 & all_0_4_4 = 0 & memberP(all_0_7_7, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_8_8 & ssItem(all_0_5_5) = 0) | (all_0_7_7 = nil & all_0_8_8 = nil)) & ((all_0_6_6 = 0 & ! [v0] : ( ~ (cons(v0, nil) = all_0_8_8) | ? [v1] : ? [v2] : (memberP(all_0_7_7, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_7_7 = nil & ~ (all_0_8_8 = nil))) % 23.11/6.95 | % 23.11/6.95 | Applying alpha-rule on (1) yields: % 23.11/6.95 | (2) ! [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))) % 23.11/6.95 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 23.11/6.95 | (4) ! [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))) % 23.11/6.96 | (5) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) % 23.11/6.96 | (6) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) % 23.11/6.96 | (7) ! [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))) % 23.11/6.96 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) % 23.11/6.96 | (9) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 23.11/6.96 | (10) ! [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))))) % 23.11/6.96 | (11) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 23.11/6.96 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 23.11/6.96 | (13) ! [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))))))) % 23.11/6.96 | (14) duplicatefreeP(nil) = 0 % 23.11/6.96 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) % 23.11/6.96 | (16) ! [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))))) % 23.11/6.96 | (17) ssList(all_0_7_7) = 0 % 23.11/6.96 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 23.11/6.96 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 23.11/6.96 | (20) ~ (all_0_9_9 = 0) % 23.11/6.96 | (21) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 23.11/6.96 | (22) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 23.11/6.96 | (23) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 23.11/6.96 | (24) ! [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))) % 23.11/6.96 | (25) strictorderedP(nil) = 0 % 23.11/6.96 | (26) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) % 23.11/6.96 | (27) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 23.11/6.96 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 23.11/6.96 | (29) ssItem(all_0_1_1) = 0 % 23.11/6.96 | (30) ! [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))))))) % 23.11/6.96 | (31) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 23.11/6.96 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) % 23.11/6.96 | (33) ! [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))) % 23.11/6.96 | (34) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 23.11/6.96 | (35) singletonP(nil) = all_0_9_9 % 23.11/6.96 | (36) ! [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))))) % 23.11/6.96 | (37) ~ (all_0_0_0 = all_0_1_1) % 23.11/6.96 | (38) ! [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))) % 23.11/6.96 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) % 23.11/6.96 | (40) ! [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))) % 23.11/6.96 | (41) ! [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)))) % 23.11/6.96 | (42) ! [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))))) % 23.11/6.96 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) % 23.11/6.97 | (44) ! [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))) % 23.11/6.97 | (45) ! [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))))))) % 23.11/6.97 | (46) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 23.11/6.97 | (47) ! [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))))) % 23.11/6.97 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 23.11/6.97 | (49) ! [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)))))))) % 23.11/6.97 | (50) ssItem(all_0_0_0) = 0 % 23.11/6.97 | (51) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 23.11/6.97 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) % 23.11/6.97 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) % 23.11/6.97 | (54) ! [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))) % 23.11/6.97 | (55) ! [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))))) % 23.11/6.97 | (56) ! [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))) % 23.47/6.97 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) % 23.47/6.97 | (58) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 23.47/6.97 | (59) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 23.47/6.97 | (60) ! [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))) % 23.47/6.97 | (61) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 23.47/6.98 | (62) (all_0_6_6 = 0 & ! [v0] : ( ~ (cons(v0, nil) = all_0_8_8) | ? [v1] : ? [v2] : (memberP(all_0_7_7, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_7_7 = nil & ~ (all_0_8_8 = nil)) % 23.47/6.98 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) % 23.47/6.98 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) % 23.47/6.98 | (65) ! [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)))))))) % 23.47/6.98 | (66) ! [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))))) % 23.47/6.98 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 23.47/6.98 | (68) ! [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))) % 23.50/6.98 | (69) ! [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)))) % 23.50/6.98 | (70) strictorderP(nil) = 0 % 23.50/6.98 | (71) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 23.50/6.98 | (72) (all_0_2_2 = 0 & all_0_3_3 = all_0_8_8 & all_0_4_4 = 0 & memberP(all_0_7_7, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_8_8 & ssItem(all_0_5_5) = 0) | (all_0_7_7 = nil & all_0_8_8 = nil) % 23.50/6.98 | (73) ! [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))) % 23.50/6.98 | (74) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) % 23.50/6.98 | (75) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 23.50/6.98 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 23.50/6.98 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) % 23.50/6.98 | (78) ! [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))) % 23.50/6.99 | (79) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 23.50/6.99 | (80) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 23.50/6.99 | (81) ! [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))))))) % 23.50/6.99 | (82) ! [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))))))) % 23.50/6.99 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) % 23.50/6.99 | (84) ! [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))) % 23.50/6.99 | (85) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 23.50/6.99 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) % 23.50/6.99 | (87) ! [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))) % 23.50/6.99 | (88) cyclefreeP(nil) = 0 % 23.50/6.99 | (89) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) % 23.50/6.99 | (90) ! [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))) % 23.50/6.99 | (91) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 23.50/6.99 | (92) ! [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)))))))) % 23.50/6.99 | (93) ! [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))) % 23.50/6.99 | (94) ! [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))) % 23.50/7.00 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 23.50/7.00 | (96) ! [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))))) % 23.50/7.00 | (97) ! [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))) % 23.50/7.00 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 23.50/7.00 | (99) ! [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))))) % 23.50/7.00 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 23.50/7.00 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) % 23.50/7.00 | (102) neq(all_0_7_7, nil) = all_0_6_6 % 23.50/7.00 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) % 23.50/7.00 | (104) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 23.50/7.00 | (105) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 23.50/7.00 | (106) ssList(nil) = 0 % 23.50/7.00 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) % 23.50/7.00 | (108) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 23.50/7.00 | (109) ! [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))))))) % 23.50/7.00 | (110) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 23.50/7.00 | (111) ! [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)))) % 23.50/7.00 | (112) ! [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))) % 23.50/7.00 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) % 23.50/7.01 | (114) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 23.50/7.01 | (115) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 23.50/7.01 | (116) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 23.61/7.01 | (117) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 23.61/7.01 | (118) totalorderedP(nil) = 0 % 23.61/7.01 | (119) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) % 23.61/7.01 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) % 23.61/7.01 | (121) ! [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))) % 23.61/7.01 | (122) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 23.61/7.01 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) % 23.61/7.01 | (124) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) % 23.61/7.01 | (125) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) % 23.61/7.01 | (126) ! [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))))))) % 23.61/7.01 | (127) ! [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))) % 23.61/7.01 | (128) ! [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))) % 23.61/7.01 | (129) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 23.61/7.01 | (130) ! [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)))) % 23.61/7.01 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) % 23.61/7.01 | (132) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) % 23.61/7.01 | (133) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 23.61/7.01 | (134) totalorderP(nil) = 0 % 23.61/7.01 | (135) ! [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))) % 23.61/7.02 | (136) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 23.61/7.02 | (137) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 23.61/7.02 | (138) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 23.61/7.02 | (139) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 23.61/7.02 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) % 23.61/7.02 | (141) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 23.61/7.02 | (142) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 23.61/7.02 | (143) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) % 23.61/7.02 | (144) ssList(all_0_8_8) = 0 % 23.61/7.02 | (145) equalelemsP(nil) = 0 % 23.61/7.02 | (146) ! [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))) % 23.61/7.02 | (147) ! [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))) % 23.61/7.02 | % 23.61/7.02 | Instantiating formula (5) with all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, yields: % 23.61/7.02 | (148) all_0_7_7 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_7_7 & ssItem(v1) = 0) % 23.61/7.02 | % 23.61/7.02 | Instantiating formula (52) with all_0_6_6, nil, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, neq(all_0_7_7, nil) = all_0_6_6, yields: % 23.61/7.02 | (149) all_0_6_6 = 0 | all_0_7_7 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0) % 23.61/7.02 | % 23.61/7.02 +-Applying beta-rule and splitting (72), into two cases. % 23.61/7.02 |-Branch one: % 23.61/7.02 | (150) all_0_2_2 = 0 & all_0_3_3 = all_0_8_8 & all_0_4_4 = 0 & memberP(all_0_7_7, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_8_8 & ssItem(all_0_5_5) = 0 % 23.61/7.02 | % 23.61/7.02 | Applying alpha-rule on (150) yields: % 23.61/7.02 | (151) all_0_3_3 = all_0_8_8 % 23.61/7.02 | (152) all_0_4_4 = 0 % 23.61/7.02 | (153) all_0_2_2 = 0 % 23.61/7.02 | (154) cons(all_0_5_5, nil) = all_0_8_8 % 23.61/7.02 | (155) ssItem(all_0_5_5) = 0 % 23.61/7.02 | (156) memberP(all_0_7_7, all_0_5_5) = 0 % 23.61/7.02 | % 23.61/7.02 | Instantiating formula (137) with all_0_5_5 yields: % 23.61/7.02 | (157) ~ (memberP(nil, all_0_5_5) = 0) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0) % 23.61/7.02 | % 23.61/7.02 | Instantiating formula (143) with all_0_8_8, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.02 | (158) ? [v0] : ? [v1] : (tl(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 23.61/7.02 | % 23.61/7.02 | Instantiating formula (77) with all_0_8_8, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.02 | (159) ? [v0] : ? [v1] : (hd(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = all_0_5_5)) % 23.61/7.02 | % 23.61/7.02 | Instantiating formula (61) with all_0_8_8, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.02 | (160) ? [v0] : ? [v1] : (equalelemsP(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 23.61/7.02 | % 23.61/7.02 | Instantiating formula (59) with all_0_8_8, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.02 | (161) ? [v0] : ? [v1] : (duplicatefreeP(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 23.61/7.02 | % 23.61/7.03 | Instantiating formula (80) with all_0_8_8, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.03 | (162) ? [v0] : ? [v1] : (strictorderedP(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 23.61/7.03 | % 23.61/7.03 | Instantiating formula (104) with all_0_8_8, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.03 | (163) ? [v0] : ? [v1] : (totalorderedP(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 23.61/7.03 | % 23.61/7.03 | Instantiating formula (122) with all_0_8_8, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.03 | (164) ? [v0] : ? [v1] : (strictorderP(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 23.61/7.03 | % 23.61/7.03 | Instantiating formula (79) with all_0_8_8, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.03 | (165) ? [v0] : ? [v1] : (totalorderP(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 23.61/7.03 | % 23.61/7.03 | Instantiating formula (27) with all_0_8_8, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.61/7.03 | (166) ? [v0] : ? [v1] : (cyclefreeP(all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 23.61/7.03 | % 23.61/7.03 | Instantiating (166) with all_15_0_10, all_15_1_11 yields: % 23.61/7.03 | (167) cyclefreeP(all_0_8_8) = all_15_0_10 & ssItem(all_0_5_5) = all_15_1_11 & ( ~ (all_15_1_11 = 0) | all_15_0_10 = 0) % 23.61/7.03 | % 23.61/7.03 | Applying alpha-rule on (167) yields: % 23.61/7.03 | (168) cyclefreeP(all_0_8_8) = all_15_0_10 % 23.61/7.03 | (169) ssItem(all_0_5_5) = all_15_1_11 % 23.61/7.03 | (170) ~ (all_15_1_11 = 0) | all_15_0_10 = 0 % 23.61/7.03 | % 23.61/7.03 | Instantiating (165) with all_17_0_12, all_17_1_13 yields: % 23.61/7.03 | (171) totalorderP(all_0_8_8) = all_17_0_12 & ssItem(all_0_5_5) = all_17_1_13 & ( ~ (all_17_1_13 = 0) | all_17_0_12 = 0) % 23.61/7.03 | % 23.61/7.03 | Applying alpha-rule on (171) yields: % 23.61/7.03 | (172) totalorderP(all_0_8_8) = all_17_0_12 % 23.61/7.03 | (173) ssItem(all_0_5_5) = all_17_1_13 % 23.61/7.03 | (174) ~ (all_17_1_13 = 0) | all_17_0_12 = 0 % 23.61/7.03 | % 23.61/7.03 | Instantiating (159) with all_19_0_14, all_19_1_15 yields: % 23.61/7.03 | (175) hd(all_0_8_8) = all_19_0_14 & ssItem(all_0_5_5) = all_19_1_15 & ( ~ (all_19_1_15 = 0) | all_19_0_14 = all_0_5_5) % 23.61/7.03 | % 23.61/7.03 | Applying alpha-rule on (175) yields: % 23.61/7.03 | (176) hd(all_0_8_8) = all_19_0_14 % 23.61/7.03 | (177) ssItem(all_0_5_5) = all_19_1_15 % 23.61/7.03 | (178) ~ (all_19_1_15 = 0) | all_19_0_14 = all_0_5_5 % 23.61/7.03 | % 23.61/7.03 | Instantiating (158) with all_21_0_16, all_21_1_17 yields: % 23.61/7.03 | (179) tl(all_0_8_8) = all_21_0_16 & ssItem(all_0_5_5) = all_21_1_17 & ( ~ (all_21_1_17 = 0) | all_21_0_16 = nil) % 23.61/7.03 | % 23.61/7.03 | Applying alpha-rule on (179) yields: % 23.61/7.03 | (180) tl(all_0_8_8) = all_21_0_16 % 23.61/7.03 | (181) ssItem(all_0_5_5) = all_21_1_17 % 23.61/7.03 | (182) ~ (all_21_1_17 = 0) | all_21_0_16 = nil % 23.61/7.03 | % 23.61/7.03 | Instantiating (162) with all_24_0_24, all_24_1_25 yields: % 23.61/7.03 | (183) strictorderedP(all_0_8_8) = all_24_0_24 & ssItem(all_0_5_5) = all_24_1_25 & ( ~ (all_24_1_25 = 0) | all_24_0_24 = 0) % 23.61/7.03 | % 23.61/7.03 | Applying alpha-rule on (183) yields: % 23.61/7.03 | (184) strictorderedP(all_0_8_8) = all_24_0_24 % 23.61/7.03 | (185) ssItem(all_0_5_5) = all_24_1_25 % 23.61/7.03 | (186) ~ (all_24_1_25 = 0) | all_24_0_24 = 0 % 23.61/7.03 | % 23.61/7.03 | Instantiating (161) with all_26_0_26, all_26_1_27 yields: % 23.61/7.03 | (187) duplicatefreeP(all_0_8_8) = all_26_0_26 & ssItem(all_0_5_5) = all_26_1_27 & ( ~ (all_26_1_27 = 0) | all_26_0_26 = 0) % 23.61/7.03 | % 23.61/7.03 | Applying alpha-rule on (187) yields: % 23.61/7.03 | (188) duplicatefreeP(all_0_8_8) = all_26_0_26 % 23.61/7.03 | (189) ssItem(all_0_5_5) = all_26_1_27 % 23.61/7.03 | (190) ~ (all_26_1_27 = 0) | all_26_0_26 = 0 % 23.61/7.03 | % 23.61/7.03 | Instantiating (164) with all_28_0_28, all_28_1_29 yields: % 23.61/7.03 | (191) strictorderP(all_0_8_8) = all_28_0_28 & ssItem(all_0_5_5) = all_28_1_29 & ( ~ (all_28_1_29 = 0) | all_28_0_28 = 0) % 23.61/7.03 | % 23.61/7.03 | Applying alpha-rule on (191) yields: % 23.61/7.03 | (192) strictorderP(all_0_8_8) = all_28_0_28 % 23.71/7.03 | (193) ssItem(all_0_5_5) = all_28_1_29 % 23.71/7.03 | (194) ~ (all_28_1_29 = 0) | all_28_0_28 = 0 % 23.71/7.03 | % 23.71/7.03 | Instantiating (163) with all_30_0_30, all_30_1_31 yields: % 23.71/7.03 | (195) totalorderedP(all_0_8_8) = all_30_0_30 & ssItem(all_0_5_5) = all_30_1_31 & ( ~ (all_30_1_31 = 0) | all_30_0_30 = 0) % 23.71/7.03 | % 23.71/7.03 | Applying alpha-rule on (195) yields: % 23.71/7.03 | (196) totalorderedP(all_0_8_8) = all_30_0_30 % 23.71/7.03 | (197) ssItem(all_0_5_5) = all_30_1_31 % 23.71/7.03 | (198) ~ (all_30_1_31 = 0) | all_30_0_30 = 0 % 23.71/7.03 | % 23.71/7.03 | Instantiating (160) with all_32_0_32, all_32_1_33 yields: % 23.71/7.03 | (199) equalelemsP(all_0_8_8) = all_32_0_32 & ssItem(all_0_5_5) = all_32_1_33 & ( ~ (all_32_1_33 = 0) | all_32_0_32 = 0) % 23.71/7.03 | % 23.71/7.03 | Applying alpha-rule on (199) yields: % 23.71/7.03 | (200) equalelemsP(all_0_8_8) = all_32_0_32 % 23.71/7.03 | (201) ssItem(all_0_5_5) = all_32_1_33 % 23.71/7.03 | (202) ~ (all_32_1_33 = 0) | all_32_0_32 = 0 % 23.71/7.03 | % 23.71/7.03 | Instantiating formula (12) with all_0_5_5, all_30_1_31, 0 and discharging atoms ssItem(all_0_5_5) = all_30_1_31, ssItem(all_0_5_5) = 0, yields: % 23.71/7.03 | (203) all_30_1_31 = 0 % 23.71/7.03 | % 23.71/7.03 | Instantiating formula (12) with all_0_5_5, all_28_1_29, all_30_1_31 and discharging atoms ssItem(all_0_5_5) = all_30_1_31, ssItem(all_0_5_5) = all_28_1_29, yields: % 23.71/7.03 | (204) all_30_1_31 = all_28_1_29 % 23.71/7.03 | % 23.71/7.03 | Instantiating formula (12) with all_0_5_5, all_26_1_27, all_32_1_33 and discharging atoms ssItem(all_0_5_5) = all_32_1_33, ssItem(all_0_5_5) = all_26_1_27, yields: % 23.71/7.03 | (205) all_32_1_33 = all_26_1_27 % 23.71/7.03 | % 23.71/7.03 | Instantiating formula (12) with all_0_5_5, all_26_1_27, all_28_1_29 and discharging atoms ssItem(all_0_5_5) = all_28_1_29, ssItem(all_0_5_5) = all_26_1_27, yields: % 23.71/7.04 | (206) all_28_1_29 = all_26_1_27 % 23.71/7.04 | % 23.71/7.04 | Instantiating formula (12) with all_0_5_5, all_24_1_25, all_32_1_33 and discharging atoms ssItem(all_0_5_5) = all_32_1_33, ssItem(all_0_5_5) = all_24_1_25, yields: % 23.71/7.04 | (207) all_32_1_33 = all_24_1_25 % 23.71/7.04 | % 23.71/7.04 | Instantiating formula (12) with all_0_5_5, all_21_1_17, all_24_1_25 and discharging atoms ssItem(all_0_5_5) = all_24_1_25, ssItem(all_0_5_5) = all_21_1_17, yields: % 23.71/7.04 | (208) all_24_1_25 = all_21_1_17 % 23.71/7.04 | % 23.71/7.04 | Instantiating formula (12) with all_0_5_5, all_19_1_15, all_32_1_33 and discharging atoms ssItem(all_0_5_5) = all_32_1_33, ssItem(all_0_5_5) = all_19_1_15, yields: % 23.71/7.04 | (209) all_32_1_33 = all_19_1_15 % 23.71/7.04 | % 23.71/7.04 | Instantiating formula (12) with all_0_5_5, all_17_1_13, all_24_1_25 and discharging atoms ssItem(all_0_5_5) = all_24_1_25, ssItem(all_0_5_5) = all_17_1_13, yields: % 23.71/7.04 | (210) all_24_1_25 = all_17_1_13 % 23.71/7.04 | % 23.71/7.04 | Instantiating formula (12) with all_0_5_5, all_15_1_11, all_24_1_25 and discharging atoms ssItem(all_0_5_5) = all_24_1_25, ssItem(all_0_5_5) = all_15_1_11, yields: % 23.71/7.04 | (211) all_24_1_25 = all_15_1_11 % 23.71/7.04 | % 23.71/7.04 | Combining equations (207,209) yields a new equation: % 23.71/7.04 | (212) all_24_1_25 = all_19_1_15 % 23.71/7.04 | % 23.71/7.04 | Simplifying 212 yields: % 23.71/7.04 | (213) all_24_1_25 = all_19_1_15 % 23.71/7.04 | % 23.71/7.04 | Combining equations (205,209) yields a new equation: % 23.71/7.04 | (214) all_26_1_27 = all_19_1_15 % 23.71/7.04 | % 23.71/7.04 | Simplifying 214 yields: % 23.71/7.04 | (215) all_26_1_27 = all_19_1_15 % 23.71/7.04 | % 23.71/7.04 | Combining equations (204,203) yields a new equation: % 23.71/7.04 | (216) all_28_1_29 = 0 % 23.71/7.04 | % 23.71/7.04 | Simplifying 216 yields: % 23.71/7.04 | (217) all_28_1_29 = 0 % 23.71/7.04 | % 23.71/7.04 | Combining equations (206,217) yields a new equation: % 23.71/7.04 | (218) all_26_1_27 = 0 % 23.71/7.04 | % 23.71/7.04 | Simplifying 218 yields: % 23.71/7.04 | (219) all_26_1_27 = 0 % 23.71/7.04 | % 23.71/7.04 | Combining equations (215,219) yields a new equation: % 23.71/7.04 | (220) all_19_1_15 = 0 % 23.71/7.04 | % 23.71/7.04 | Simplifying 220 yields: % 23.71/7.04 | (221) all_19_1_15 = 0 % 23.71/7.04 | % 23.71/7.04 | Combining equations (210,208) yields a new equation: % 23.71/7.04 | (222) all_21_1_17 = all_17_1_13 % 23.71/7.04 | % 23.71/7.04 | Combining equations (211,208) yields a new equation: % 23.71/7.04 | (223) all_21_1_17 = all_15_1_11 % 23.71/7.04 | % 23.71/7.04 | Combining equations (213,208) yields a new equation: % 23.71/7.04 | (224) all_21_1_17 = all_19_1_15 % 23.71/7.04 | % 23.71/7.04 | Combining equations (223,222) yields a new equation: % 23.71/7.04 | (225) all_17_1_13 = all_15_1_11 % 23.71/7.04 | % 23.71/7.04 | Combining equations (224,222) yields a new equation: % 23.71/7.04 | (226) all_19_1_15 = all_17_1_13 % 23.71/7.04 | % 23.71/7.04 | Simplifying 226 yields: % 23.71/7.04 | (227) all_19_1_15 = all_17_1_13 % 23.71/7.04 | % 23.71/7.04 | Combining equations (227,221) yields a new equation: % 23.71/7.04 | (228) all_17_1_13 = 0 % 23.71/7.04 | % 23.71/7.04 | Simplifying 228 yields: % 23.71/7.04 | (229) all_17_1_13 = 0 % 23.71/7.04 | % 23.71/7.04 | Combining equations (225,229) yields a new equation: % 23.71/7.04 | (230) all_15_1_11 = 0 % 23.71/7.04 | % 23.71/7.04 | Simplifying 230 yields: % 23.71/7.04 | (231) all_15_1_11 = 0 % 23.71/7.04 | % 23.71/7.04 | From (231) and (169) follows: % 23.71/7.04 | (155) ssItem(all_0_5_5) = 0 % 23.71/7.04 | % 23.71/7.04 +-Applying beta-rule and splitting (157), into two cases. % 23.71/7.04 |-Branch one: % 23.71/7.04 | (233) ~ (memberP(nil, all_0_5_5) = 0) % 23.71/7.04 | % 23.71/7.04 | Using (156) and (233) yields: % 23.71/7.04 | (234) ~ (all_0_7_7 = nil) % 23.71/7.04 | % 23.71/7.04 +-Applying beta-rule and splitting (149), into two cases. % 23.71/7.04 |-Branch one: % 23.71/7.04 | (235) all_0_7_7 = nil % 23.71/7.04 | % 23.71/7.04 | Equations (235) can reduce 234 to: % 23.71/7.04 | (236) $false % 23.71/7.04 | % 23.71/7.04 |-The branch is then unsatisfiable % 23.71/7.04 |-Branch two: % 23.71/7.04 | (234) ~ (all_0_7_7 = nil) % 23.71/7.04 | (238) all_0_6_6 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0) % 23.71/7.04 | % 23.71/7.04 +-Applying beta-rule and splitting (148), into two cases. % 23.71/7.04 |-Branch one: % 23.71/7.04 | (235) all_0_7_7 = nil % 23.71/7.04 | % 23.71/7.04 | Equations (235) can reduce 234 to: % 23.71/7.04 | (236) $false % 23.71/7.04 | % 23.71/7.04 |-The branch is then unsatisfiable % 23.71/7.04 |-Branch two: % 23.71/7.04 | (234) ~ (all_0_7_7 = nil) % 23.71/7.04 | (242) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_7_7 & ssItem(v1) = 0) % 23.71/7.04 | % 23.71/7.04 +-Applying beta-rule and splitting (62), into two cases. % 23.71/7.04 |-Branch one: % 23.71/7.04 | (243) all_0_6_6 = 0 & ! [v0] : ( ~ (cons(v0, nil) = all_0_8_8) | ? [v1] : ? [v2] : (memberP(all_0_7_7, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 23.71/7.05 | % 23.71/7.05 | Applying alpha-rule on (243) yields: % 23.71/7.05 | (244) all_0_6_6 = 0 % 23.71/7.05 | (245) ! [v0] : ( ~ (cons(v0, nil) = all_0_8_8) | ? [v1] : ? [v2] : (memberP(all_0_7_7, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 23.71/7.05 | % 23.71/7.05 | Instantiating formula (245) with all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_8_8, yields: % 23.71/7.05 | (246) ? [v0] : ? [v1] : (memberP(all_0_7_7, all_0_5_5) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 23.71/7.05 | % 23.71/7.05 | Instantiating (246) with all_108_0_36, all_108_1_37 yields: % 23.71/7.05 | (247) memberP(all_0_7_7, all_0_5_5) = all_108_0_36 & ssItem(all_0_5_5) = all_108_1_37 & ( ~ (all_108_0_36 = 0) | ~ (all_108_1_37 = 0)) % 23.71/7.05 | % 23.71/7.05 | Applying alpha-rule on (247) yields: % 23.71/7.05 | (248) memberP(all_0_7_7, all_0_5_5) = all_108_0_36 % 23.71/7.05 | (249) ssItem(all_0_5_5) = all_108_1_37 % 23.71/7.05 | (250) ~ (all_108_0_36 = 0) | ~ (all_108_1_37 = 0) % 23.71/7.05 | % 23.71/7.05 | Instantiating formula (32) with all_0_7_7, all_0_5_5, all_108_0_36, 0 and discharging atoms memberP(all_0_7_7, all_0_5_5) = all_108_0_36, memberP(all_0_7_7, all_0_5_5) = 0, yields: % 23.71/7.05 | (251) all_108_0_36 = 0 % 23.71/7.05 | % 23.71/7.05 | Instantiating formula (12) with all_0_5_5, all_108_1_37, 0 and discharging atoms ssItem(all_0_5_5) = all_108_1_37, ssItem(all_0_5_5) = 0, yields: % 23.71/7.05 | (252) all_108_1_37 = 0 % 23.71/7.05 | % 23.71/7.05 +-Applying beta-rule and splitting (250), into two cases. % 23.71/7.05 |-Branch one: % 23.71/7.05 | (253) ~ (all_108_0_36 = 0) % 23.71/7.05 | % 23.71/7.05 | Equations (251) can reduce 253 to: % 23.71/7.05 | (236) $false % 23.71/7.05 | % 23.71/7.05 |-The branch is then unsatisfiable % 23.71/7.05 |-Branch two: % 23.71/7.05 | (251) all_108_0_36 = 0 % 23.71/7.05 | (256) ~ (all_108_1_37 = 0) % 23.71/7.05 | % 23.71/7.05 | Equations (252) can reduce 256 to: % 23.71/7.05 | (236) $false % 23.71/7.05 | % 23.71/7.05 |-The branch is then unsatisfiable % 23.71/7.05 |-Branch two: % 23.71/7.05 | (258) all_0_7_7 = nil & ~ (all_0_8_8 = nil) % 23.71/7.05 | % 23.71/7.05 | Applying alpha-rule on (258) yields: % 23.71/7.05 | (235) all_0_7_7 = nil % 23.71/7.05 | (260) ~ (all_0_8_8 = nil) % 23.71/7.05 | % 23.71/7.05 | Equations (235) can reduce 234 to: % 23.71/7.05 | (236) $false % 23.71/7.05 | % 23.71/7.05 |-The branch is then unsatisfiable % 23.71/7.05 |-Branch two: % 23.71/7.05 | (262) memberP(nil, all_0_5_5) = 0 % 23.71/7.05 | (263) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0) % 23.71/7.05 | % 23.71/7.05 | Instantiating (263) with all_42_0_40 yields: % 23.71/7.05 | (264) ~ (all_42_0_40 = 0) & ssItem(all_0_5_5) = all_42_0_40 % 23.71/7.05 | % 23.71/7.05 | Applying alpha-rule on (264) yields: % 23.71/7.05 | (265) ~ (all_42_0_40 = 0) % 23.71/7.05 | (266) ssItem(all_0_5_5) = all_42_0_40 % 23.71/7.05 | % 23.71/7.05 | Instantiating formula (12) with all_0_5_5, all_42_0_40, 0 and discharging atoms ssItem(all_0_5_5) = all_42_0_40, ssItem(all_0_5_5) = 0, yields: % 23.71/7.05 | (267) all_42_0_40 = 0 % 23.71/7.05 | % 23.71/7.05 | Equations (267) can reduce 265 to: % 23.71/7.05 | (236) $false % 23.71/7.05 | % 23.71/7.05 |-The branch is then unsatisfiable % 23.71/7.05 |-Branch two: % 23.71/7.05 | (269) all_0_7_7 = nil & all_0_8_8 = nil % 23.71/7.05 | % 23.71/7.05 | Applying alpha-rule on (269) yields: % 23.71/7.05 | (235) all_0_7_7 = nil % 23.71/7.05 | (271) all_0_8_8 = nil % 23.71/7.05 | % 23.71/7.05 | From (271) and (144) follows: % 23.71/7.05 | (106) ssList(nil) = 0 % 23.71/7.05 | % 23.71/7.05 | From (235) and (102) follows: % 23.71/7.05 | (273) neq(nil, nil) = all_0_6_6 % 23.71/7.05 | % 23.71/7.05 +-Applying beta-rule and splitting (62), into two cases. % 23.71/7.05 |-Branch one: % 23.71/7.05 | (243) all_0_6_6 = 0 & ! [v0] : ( ~ (cons(v0, nil) = all_0_8_8) | ? [v1] : ? [v2] : (memberP(all_0_7_7, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 23.71/7.05 | % 23.71/7.05 | Applying alpha-rule on (243) yields: % 23.71/7.05 | (244) all_0_6_6 = 0 % 23.71/7.05 | (245) ! [v0] : ( ~ (cons(v0, nil) = all_0_8_8) | ? [v1] : ? [v2] : (memberP(all_0_7_7, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 23.71/7.05 | % 23.71/7.05 | From (244) and (273) follows: % 23.71/7.05 | (277) neq(nil, nil) = 0 % 23.71/7.05 | % 23.71/7.05 | Instantiating formula (124) with nil and discharging atoms ssList(nil) = 0, neq(nil, nil) = 0, yields: % 23.71/7.05 | (278) $false % 23.71/7.05 | % 23.71/7.05 |-The branch is then unsatisfiable % 23.71/7.05 |-Branch two: % 23.71/7.05 | (258) all_0_7_7 = nil & ~ (all_0_8_8 = nil) % 23.71/7.05 | % 23.71/7.05 | Applying alpha-rule on (258) yields: % 23.71/7.05 | (235) all_0_7_7 = nil % 23.71/7.05 | (260) ~ (all_0_8_8 = nil) % 23.71/7.05 | % 23.71/7.05 | Equations (271) can reduce 260 to: % 23.71/7.05 | (236) $false % 23.71/7.05 | % 23.71/7.05 |-The branch is then unsatisfiable % 23.71/7.05 % SZS output end Proof for theBenchmark % 23.71/7.06 % 23.71/7.06 6465ms %------------------------------------------------------------------------------