%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWC377+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.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 20:17:48 EDT 2022 % Result : Theorem 22.62s 6.70s % Output : Proof 39.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SWC377+1 : TPTP v8.1.0. Released v2.4.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n020.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 20:54:35 EDT 2022 % 0.12/0.33 % CPUTime : % 0.54/0.55 ____ _ % 0.54/0.55 ___ / __ \_____(_)___ ________ __________ % 0.54/0.55 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.54/0.55 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.54/0.55 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.54/0.55 % 0.54/0.55 A Theorem Prover for First-Order Logic % 0.54/0.56 (ePrincess v.1.0) % 0.54/0.56 % 0.54/0.56 (c) Philipp Rümmer, 2009-2015 % 0.54/0.56 (c) Peter Backeman, 2014-2015 % 0.54/0.56 (contributions by Angelo Brillout, Peter Baumgartner) % 0.54/0.56 Free software under GNU Lesser General Public License (LGPL). % 0.54/0.56 Bug reports to peter@backeman.se % 0.54/0.56 % 0.54/0.56 For more information, visit http://user.uu.se/~petba168/breu/ % 0.54/0.56 % 0.54/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.59/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.28/1.06 Prover 0: Preprocessing ... % 4.81/1.70 Prover 0: Constructing countermodel ... % 19.27/5.90 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 19.47/5.99 Prover 1: Preprocessing ... % 20.48/6.19 Prover 1: Constructing countermodel ... % 22.62/6.70 Prover 1: proved (802ms) % 22.62/6.70 Prover 0: stopped % 22.62/6.70 % 22.62/6.70 No countermodel exists, formula is valid % 22.62/6.70 % SZS status Theorem for theBenchmark % 22.62/6.70 % 22.62/6.70 Generating proof ... found it (size 806) % 38.67/11.20 % 38.67/11.20 % SZS output start Proof for theBenchmark % 38.67/11.20 Assumed formulas after preprocessing and simplification: % 38.67/11.20 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = v14) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & memberP(v2, v11) = v12 & memberP(v1, v11) = v13 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & neq(v2, nil) = v3 & ssItem(v15) = 0 & ssItem(v14) = 0 & ssItem(v11) = 0 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | ~ (strictorderedP(v16) = 0) | ~ (lt(v17, v18) = v19) | ~ (ssList(v20) = 0) | ~ (cons(v18, v24) = v25) | ~ (cons(v17, v21) = v22) | ~ (app(v23, v25) = v16) | ~ (app(v20, v22) = v23) | ~ (ssItem(v17) = 0) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26) | ( ~ (v26 = 0) & ssList(v16) = v26) | ( ~ (v26 = 0) & ssItem(v18) = v26))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | ~ (totalorderedP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssList(v20) = 0) | ~ (cons(v18, v24) = v25) | ~ (cons(v17, v21) = v22) | ~ (app(v23, v25) = v16) | ~ (app(v20, v22) = v23) | ~ (ssItem(v17) = 0) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26) | ( ~ (v26 = 0) & ssList(v16) = v26) | ( ~ (v26 = 0) & ssItem(v18) = v26))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (duplicatefreeP(v16) = 0) | ~ (ssList(v18) = 0) | ~ (cons(v17, v22) = v23) | ~ (cons(v17, v19) = v20) | ~ (app(v21, v23) = v16) | ~ (app(v18, v20) = v21) | ~ (ssItem(v17) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v16) = v24))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (segmentP(v21, v17) = v22) | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v19, v20) = v21) | ~ (app(v18, v16) = v19) | ? [v23] : (( ~ (v23 = 0) & ssList(v20) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23) | ( ~ (v23 = 0) & ssList(v17) = v23))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v18 = v17 | ~ (equalelemsP(v16) = 0) | ~ (ssList(v19) = 0) | ~ (cons(v18, v20) = v21) | ~ (cons(v17, v21) = v22) | ~ (app(v19, v22) = v16) | ~ (ssItem(v18) = 0) | ~ (ssItem(v17) = 0) | ? [v23] : (( ~ (v23 = 0) & ssList(v20) = v23) | ( ~ (v23 = 0) & ssList(v16) = v23))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (frontsegP(v19, v21) = v22) | ~ (cons(v17, v20) = v21) | ~ (cons(v16, v18) = v19) | ~ (ssItem(v17) = 0) | ~ (ssItem(v16) = 0) | ? [v23] : ? [v24] : (( ~ (v23 = 0) & ssList(v18) = v23) | (frontsegP(v18, v20) = v24 & ssList(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | ~ (v17 = v16) | v22 = 0) & ( ~ (v22 = 0) | (v24 = 0 & v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = 0 | ~ (segmentP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v20, v21) = v16) | ~ (app(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssList(v21) = v22) | ( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = 0 | ~ (memberP(v16, v17) = v18) | ~ (ssList(v19) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v17, v20) = v21) | ~ (app(v19, v21) = v16) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssItem(v17) = v22))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (memberP(v20, v16) = v21) | ~ (memberP(v17, v16) = v18) | ~ (app(v17, v19) = v20) | ~ (ssItem(v16) = 0) | ? [v22] : ? [v23] : (( ~ (v22 = 0) & ssList(v17) = v22) | (memberP(v19, v16) = v23 & ssList(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) | v23 = 0 | v18 = 0) & (v21 = 0 | ( ~ (v23 = 0) & ~ (v18 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (ssList(v16) = 0) | ~ (cons(v19, v17) = v20) | ~ (app(v20, v16) = v21) | ~ (app(v17, v16) = v18) | ? [v22] : ? [v23] : (( ~ (v22 = 0) & ssList(v17) = v22) | (cons(v19, v18) = v23 & ssItem(v19) = v22 & ( ~ (v22 = 0) | v23 = v21)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (ssList(v17) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v20, v17) = v19) | ~ (cons(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssItem(v20) = v21) | ( ~ (v21 = 0) & ssItem(v18) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (rearsegP(v19, v17) = v20) | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v17) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (frontsegP(v19, v17) = v20) | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v16, v18) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v17) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | ~ (ssList(v17) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v20, v17) = v19) | ~ (cons(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssItem(v20) = v21) | ( ~ (v21 = 0) & ssItem(v18) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (memberP(v19, v16) = v20) | ~ (cons(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ~ (ssItem(v16) = 0) | ? [v21] : ? [v22] : (memberP(v18, v16) = v22 & ssList(v18) = v21 & ( ~ (v21 = 0) | (( ~ (v20 = 0) | v22 = 0 | v17 = v16) & (v20 = 0 | ( ~ (v22 = 0) & ~ (v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (ssList(v16) = 0) | ~ (app(v18, v19) = v20) | ~ (app(v16, v17) = v18) | ? [v21] : ? [v22] : ? [v23] : (( ~ (v21 = 0) & ssList(v17) = v21) | (ssList(v19) = v21 & app(v17, v19) = v22 & app(v16, v22) = v23 & ( ~ (v21 = 0) | v23 = v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | v16 = nil | ~ (tl(v16) = v18) | ~ (hd(v16) = v17) | ~ (cons(v17, v18) = v19) | ? [v20] : ( ~ (v20 = 0) & ssList(v16) = v20)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | ~ (ssList(v16) = 0) | ~ (app(v19, v17) = v18) | ~ (app(v16, v17) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | ~ (ssList(v16) = 0) | ~ (app(v17, v19) = v18) | ~ (app(v17, v16) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (gt(v16, v18) = v19) | ~ (gt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (gt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (geq(v16, v18) = v19) | ~ (geq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (geq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (lt(v16, v18) = v19) | ~ (lt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (lt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (lt(v16, v18) = v19) | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (lt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (leq(v16, v18) = v19) | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (leq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (segmentP(v16, v18) = v19) | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (segmentP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (rearsegP(v16, v18) = v19) | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (rearsegP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (frontsegP(v16, v18) = v19) | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (frontsegP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (rearsegP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v19, v17) = v16) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (frontsegP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v17, v19) = v16) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (gt(v19, v18) = v17) | ~ (gt(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (geq(v19, v18) = v17) | ~ (geq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (lt(v19, v18) = v17) | ~ (lt(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (leq(v19, v18) = v17) | ~ (leq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (segmentP(v19, v18) = v17) | ~ (segmentP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (rearsegP(v19, v18) = v17) | ~ (rearsegP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (frontsegP(v19, v18) = v17) | ~ (frontsegP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (memberP(v19, v18) = v17) | ~ (memberP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (cons(v19, v18) = v17) | ~ (cons(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (app(v19, v18) = v17) | ~ (app(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (neq(v19, v18) = v17) | ~ (neq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = nil | ~ (tl(v16) = v17) | ~ (app(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (( ~ (v20 = 0) & ssList(v16) = v20) | (tl(v21) = v22 & ssList(v18) = v20 & app(v16, v18) = v21 & ( ~ (v20 = 0) | v22 = v19)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = nil | ~ (hd(v16) = v17) | ~ (app(v16, v18) = v19) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (hd(v19) = v21 & ssList(v18) = v20 & ( ~ (v20 = 0) | v21 = v17)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (hd(v17) = v18) | ~ (lt(v16, v18) = v19) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (strictorderedP(v21) = v22 & strictorderedP(v17) = v23 & ssList(v17) = v20 & cons(v16, v17) = v21 & ( ~ (v20 = 0) | (( ~ (v22 = 0) | v17 = nil | (v23 = 0 & v19 = 0)) & (v22 = 0 | ( ~ (v17 = nil) & ( ~ (v23 = 0) | ~ (v19 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (hd(v17) = v18) | ~ (leq(v16, v18) = v19) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (totalorderedP(v21) = v22 & totalorderedP(v17) = v23 & ssList(v17) = v20 & cons(v16, v17) = v21 & ( ~ (v20 = 0) | (( ~ (v22 = 0) | v17 = nil | (v23 = 0 & v19 = 0)) & (v22 = 0 | ( ~ (v17 = nil) & ( ~ (v23 = 0) | ~ (v19 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (strictorderP(v16) = 0) | ~ (lt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (lt(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v21 = 0 | v19 = 0 | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (totalorderP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (leq(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v21 = 0 | v19 = 0 | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (cyclefreeP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (leq(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (v21 = 0) | ~ (v19 = 0) | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, nil) = v18) | ~ (app(v18, v16) = v19) | ? [v20] : ? [v21] : (cons(v17, v16) = v21 & ssItem(v17) = v20 & ( ~ (v20 = 0) | v21 = v19))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (lt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (ssList(v16) = 0) | ~ (neq(v16, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (neq(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ( ~ (v19 = 0) & ssItem(v17) = v19)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (tl(v18) = v17) | ~ (tl(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (hd(v18) = v17) | ~ (hd(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (equalelemsP(v18) = v17) | ~ (equalelemsP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (duplicatefreeP(v18) = v17) | ~ (duplicatefreeP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (strictorderedP(v18) = v17) | ~ (strictorderedP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (totalorderedP(v18) = v17) | ~ (totalorderedP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (strictorderP(v18) = v17) | ~ (strictorderP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (totalorderP(v18) = v17) | ~ (totalorderP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (cyclefreeP(v18) = v17) | ~ (cyclefreeP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (singletonP(v18) = v17) | ~ (singletonP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (ssList(v18) = v17) | ~ (ssList(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (ssItem(v18) = v17) | ~ (ssItem(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (singletonP(v16) = v17) | ~ (cons(v18, nil) = v16) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssItem(v18) = v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (gt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (lt(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0) & ( ~ (v18 = 0) | v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (geq(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0) & ( ~ (v18 = 0) | v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (lt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0 | v17 = v16) & ( ~ (v18 = 0) | (v20 = 0 & ~ (v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (tl(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = v16))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (hd(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = v17))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (ssList(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (app(v16, v17) = v18) | ? [v19] : ? [v20] : (ssList(v18) = v20 & ssList(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (geq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (geq(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (leq(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (segmentP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (rearsegP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (frontsegP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (app(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = v16 | ~ (app(nil, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = nil | ~ (ssList(v16) = 0) | ~ (app(v16, v17) = nil) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (geq(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssItem(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (equalelemsP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v16 & v25 = 0 & v23 = 0 & v21 = 0 & v19 = 0 & ~ (v20 = v18) & ssList(v24) = 0 & ssList(v22) = 0 & cons(v20, v24) = v26 & cons(v18, v26) = v27 & app(v22, v27) = v16 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (duplicatefreeP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v16 & v29 = 0 & v25 = 0 & v23 = 0 & v21 = 0 & v20 = v18 & v19 = 0 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v18, v24) = v26 & app(v27, v30) = v16 & app(v22, v26) = v27 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (strictorderedP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v16 & v30 = 0 & v26 = 0 & v24 = 0 & v21 = 0 & v19 = 0 & ~ (v22 = 0) & lt(v18, v20) = v22 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v20, v29) = v31 & cons(v18, v25) = v27 & app(v28, v31) = v16 & app(v23, v27) = v28 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (totalorderedP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v16 & v30 = 0 & v26 = 0 & v24 = 0 & v21 = 0 & v19 = 0 & ~ (v22 = 0) & leq(v18, v20) = v22 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v20, v29) = v31 & cons(v18, v25) = v27 & app(v28, v31) = v16 & app(v23, v27) = v28 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (strictorderP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v21 = 0 & v19 = 0 & ~ (v23 = 0) & ~ (v22 = 0) & lt(v20, v18) = v23 & lt(v18, v20) = v22 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (totalorderP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v21 = 0 & v19 = 0 & ~ (v23 = 0) & ~ (v22 = 0) & leq(v20, v18) = v23 & leq(v18, v20) = v22 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (cyclefreeP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & v19 = 0 & leq(v20, v18) = 0 & leq(v18, v20) = 0 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (leq(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssItem(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v16 = nil | ~ (tl(v16) = v17) | ? [v18] : ? [v19] : (ssList(v17) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : (v16 = nil | ~ (tl(v16) = v17) | ? [v18] : ? [v19] : ((v19 = 0 & v18 = v17 & ssList(v17) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v16 = nil | ~ (hd(v16) = v17) | ? [v18] : ? [v19] : (ssList(v16) = v18 & ssItem(v17) = v19 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : (v16 = nil | ~ (hd(v16) = v17) | ? [v18] : ? [v19] : ((v19 = 0 & v18 = v17 & ssItem(v17) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v16 = nil | ~ (ssList(v16) = 0) | ~ (app(v16, v17) = nil) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (gt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (gt(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : ( ~ (tl(v16) = v17) | ? [v18] : ? [v19] : (hd(v16) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : (v20 = v16 | v20 = nil | v16 = nil | ~ (tl(v20) = v17) | ? [v21] : ? [v22] : (hd(v20) = v22 & ssList(v20) = v21 & ( ~ (v22 = v19) | ~ (v21 = 0))))))) & ! [v16] : ! [v17] : ( ~ (lt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (lt(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : ( ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v16 & v22 = 0 & v19 = 0 & ssList(v21) = 0 & ssList(v18) = 0 & app(v20, v21) = v16 & app(v18, v17) = v20) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = v16 & v19 = 0 & ssList(v18) = 0 & app(v18, v17) = v16) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = v16 & v19 = 0 & ssList(v18) = 0 & app(v17, v18) = v16) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (memberP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v16 & v21 = 0 & v19 = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v17, v20) = v22 & app(v18, v22) = v16) | ( ~ (v18 = 0) & ssItem(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v16) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = nil) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (equalelemsP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (duplicatefreeP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (strictorderedP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (totalorderedP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (strictorderP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (totalorderP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (cyclefreeP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : (v16 = nil | ~ (segmentP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (rearsegP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (frontsegP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (ssList(v16) = 0) | ? [v17] : ? [v18] : (ssList(v17) = 0 & cons(v18, v17) = v16 & ssItem(v18) = 0)) & ! [v16] : (v16 = nil | ~ (app(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (segmentP(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (rearsegP(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (frontsegP(nil, nil) = v16)) & ! [v16] : ( ~ (lt(v16, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssItem(v16) = v17)) & ! [v16] : ( ~ (singletonP(v16) = 0) | ? [v17] : ? [v18] : ? [v19] : ((v19 = v16 & v18 = 0 & cons(v17, nil) = v16 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v16) = v17))) & ! [v16] : ( ~ (memberP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssItem(v16) = v17)) & ! [v16] : ( ~ (ssList(v16) = 0) | ~ (neq(v16, v16) = 0)) & ! [v16] : ( ~ (neq(v16, v16) = 0) | ~ (ssItem(v16) = 0)) & ( ~ (v13 = 0) | ~ (v12 = 0)) & ( ~ (v3 = 0) | (v10 = v2 & v9 = v1 & v8 = 0 & v5 = 0 & ssList(v7) = 0 & cons(v4, nil) = v6 & app(v7, v6) = v2 & app(v6, v7) = v1 & ssItem(v4) = 0)) & ( ~ (v2 = nil) | v1 = nil) & (v13 = 0 | v12 = 0)) % 39.27/11.30 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15 yields: % 39.27/11.30 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_15_15 = 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_15_15 & memberP(all_0_13_13, all_0_4_4) = all_0_3_3 & memberP(all_0_14_14, all_0_4_4) = all_0_2_2 & ssList(all_0_13_13) = 0 & ssList(all_0_14_14) = 0 & ssList(nil) = 0 & neq(all_0_13_13, nil) = all_0_12_12 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ssItem(all_0_4_4) = 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 = 0)) & ( ~ (all_0_12_12 = 0) | (all_0_5_5 = all_0_13_13 & all_0_6_6 = all_0_14_14 & all_0_7_7 = 0 & all_0_10_10 = 0 & ssList(all_0_8_8) = 0 & cons(all_0_11_11, nil) = all_0_9_9 & app(all_0_8_8, all_0_9_9) = all_0_13_13 & app(all_0_9_9, all_0_8_8) = all_0_14_14 & ssItem(all_0_11_11) = 0)) & ( ~ (all_0_13_13 = nil) | all_0_14_14 = nil) & (all_0_2_2 = 0 | all_0_3_3 = 0) % 39.27/11.35 | % 39.27/11.35 | Applying alpha-rule on (1) yields: % 39.27/11.35 | (2) ssItem(all_0_4_4) = 0 % 39.27/11.35 | (3) ! [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))) % 39.27/11.35 | (4) ~ (all_0_0_0 = all_0_1_1) % 39.27/11.35 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 39.27/11.35 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 39.27/11.35 | (7) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 39.27/11.35 | (8) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 39.27/11.35 | (9) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 39.27/11.35 | (10) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 39.27/11.35 | (11) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 39.27/11.35 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 39.27/11.35 | (13) memberP(all_0_14_14, all_0_4_4) = all_0_2_2 % 39.27/11.36 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) % 39.27/11.36 | (15) ! [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))))) % 39.27/11.36 | (16) strictorderedP(nil) = 0 % 39.27/11.36 | (17) duplicatefreeP(nil) = 0 % 39.27/11.36 | (18) ! [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))))) % 39.27/11.36 | (19) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 39.27/11.36 | (20) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 39.27/11.36 | (21) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 39.27/11.36 | (22) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 39.27/11.36 | (23) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 39.27/11.36 | (24) cyclefreeP(nil) = 0 % 39.27/11.36 | (25) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 39.27/11.36 | (26) ! [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))) % 39.27/11.36 | (27) ! [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))))) % 39.27/11.36 | (28) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 39.27/11.36 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) % 39.27/11.36 | (30) ! [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))))) % 39.27/11.36 | (31) ! [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))) % 39.55/11.36 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) % 39.55/11.36 | (33) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 39.55/11.36 | (34) ! [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))) % 39.55/11.36 | (35) ! [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))))))) % 39.55/11.36 | (36) ! [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))) % 39.55/11.36 | (37) ! [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)))) % 39.55/11.36 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) % 39.55/11.36 | (39) ! [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))) % 39.55/11.36 | (40) ~ (all_0_13_13 = nil) | all_0_14_14 = nil % 39.55/11.36 | (41) ! [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))))))) % 39.55/11.36 | (42) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 39.55/11.36 | (43) ! [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))))))) % 39.55/11.36 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) % 39.55/11.36 | (45) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 39.55/11.36 | (46) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 39.55/11.36 | (47) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 39.55/11.36 | (48) ssItem(all_0_0_0) = 0 % 39.55/11.36 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 39.55/11.36 | (50) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) % 39.55/11.36 | (51) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) % 39.55/11.37 | (52) ! [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))))))) % 39.55/11.37 | (53) singletonP(nil) = all_0_15_15 % 39.55/11.37 | (54) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 39.55/11.37 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) % 39.55/11.37 | (56) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 39.55/11.37 | (57) ! [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))) % 39.55/11.37 | (58) ~ (all_0_12_12 = 0) | (all_0_5_5 = all_0_13_13 & all_0_6_6 = all_0_14_14 & all_0_7_7 = 0 & all_0_10_10 = 0 & ssList(all_0_8_8) = 0 & cons(all_0_11_11, nil) = all_0_9_9 & app(all_0_8_8, all_0_9_9) = all_0_13_13 & app(all_0_9_9, all_0_8_8) = all_0_14_14 & ssItem(all_0_11_11) = 0) % 39.55/11.37 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 39.55/11.37 | (60) ! [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)))))))) % 39.55/11.37 | (61) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 39.55/11.37 | (62) all_0_2_2 = 0 | all_0_3_3 = 0 % 39.55/11.37 | (63) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) % 39.55/11.37 | (64) memberP(all_0_13_13, all_0_4_4) = all_0_3_3 % 39.55/11.37 | (65) ! [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))))) % 39.55/11.37 | (66) ! [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))) % 39.55/11.37 | (67) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 39.55/11.37 | (68) ! [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))) % 39.55/11.37 | (69) equalelemsP(nil) = 0 % 39.55/11.37 | (70) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 39.55/11.37 | (71) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) % 39.55/11.37 | (72) totalorderedP(nil) = 0 % 39.55/11.37 | (73) ! [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))) % 39.55/11.37 | (74) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) % 39.55/11.37 | (75) ! [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))) % 39.55/11.37 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) % 39.55/11.37 | (77) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 39.55/11.37 | (78) ! [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))) % 39.61/11.37 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) % 39.61/11.37 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) % 39.61/11.37 | (81) ! [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))) % 39.61/11.37 | (82) ! [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))))))) % 39.61/11.37 | (83) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) % 39.61/11.37 | (84) ssItem(all_0_1_1) = 0 % 39.61/11.37 | (85) ssList(all_0_14_14) = 0 % 39.61/11.38 | (86) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) % 39.61/11.38 | (87) ssList(all_0_13_13) = 0 % 39.61/11.38 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) % 39.61/11.38 | (89) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 39.61/11.38 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) % 39.61/11.38 | (91) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 39.61/11.38 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) % 39.61/11.38 | (93) ! [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))))) % 39.61/11.38 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 39.61/11.38 | (95) ! [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))) % 39.61/11.38 | (96) ! [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)))) % 39.61/11.38 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) % 39.61/11.38 | (98) ! [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))))))) % 39.61/11.38 | (99) totalorderP(nil) = 0 % 39.61/11.38 | (100) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) % 39.61/11.38 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) % 39.61/11.38 | (102) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) % 39.61/11.38 | (103) ! [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))) % 39.61/11.38 | (104) ! [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))))))) % 39.61/11.38 | (105) ! [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))) % 39.61/11.38 | (106) ! [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)))) % 39.61/11.38 | (107) ! [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))) % 39.61/11.38 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 39.61/11.38 | (109) ! [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)))) % 39.61/11.38 | (110) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) % 39.61/11.38 | (111) ! [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))) % 39.61/11.38 | (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))) % 39.61/11.38 | (113) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) % 39.61/11.38 | (114) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) % 39.61/11.38 | (115) strictorderP(nil) = 0 % 39.61/11.38 | (116) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) % 39.61/11.38 | (117) ! [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))) % 39.61/11.38 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 39.61/11.38 | (119) ! [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)))))))) % 39.61/11.38 | (120) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) % 39.61/11.38 | (121) ! [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))) % 39.61/11.38 | (122) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 39.61/11.39 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) % 39.61/11.39 | (124) ! [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))) % 39.61/11.39 | (125) ! [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))))) % 39.61/11.39 | (126) ssList(nil) = 0 % 39.61/11.39 | (127) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 39.61/11.39 | (128) ! [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))) % 39.61/11.39 | (129) ! [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))) % 39.61/11.39 | (130) ! [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)))))))) % 39.61/11.39 | (131) ! [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))) % 39.61/11.39 | (132) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) % 39.61/11.39 | (133) ! [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))) % 39.61/11.39 | (134) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) % 39.61/11.39 | (135) ! [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))))) % 39.61/11.39 | (136) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 39.61/11.39 | (137) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 39.61/11.39 | (138) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) % 39.61/11.39 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) % 39.61/11.39 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) % 39.61/11.39 | (141) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 39.61/11.39 | (142) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 39.61/11.39 | (143) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 39.61/11.39 | (144) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) % 39.61/11.39 | (145) ! [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)))) % 39.61/11.39 | (146) ~ (all_0_2_2 = 0) | ~ (all_0_3_3 = 0) % 39.61/11.39 | (147) ! [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))))) % 39.61/11.39 | (148) neq(all_0_13_13, nil) = all_0_12_12 % 39.61/11.39 | (149) ! [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))) % 39.61/11.39 | (150) ~ (all_0_15_15 = 0) % 39.61/11.39 | (151) ! [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))))) % 39.61/11.39 | (152) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) % 39.61/11.39 | % 39.61/11.39 | Instantiating formula (38) with all_0_14_14, all_0_4_4, all_0_2_2, all_0_3_3 and discharging atoms memberP(all_0_14_14, all_0_4_4) = all_0_2_2, yields: % 39.61/11.39 | (153) all_0_2_2 = all_0_3_3 | ~ (memberP(all_0_14_14, all_0_4_4) = all_0_3_3) % 39.61/11.39 | % 39.61/11.39 | Instantiating formula (71) with all_0_13_13 and discharging atoms ssList(all_0_13_13) = 0, yields: % 39.61/11.39 | (154) all_0_13_13 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_13_13 & ssItem(v1) = 0) % 39.61/11.39 | % 39.61/11.39 | Instantiating formula (71) with all_0_14_14 and discharging atoms ssList(all_0_14_14) = 0, yields: % 39.61/11.39 | (155) all_0_14_14 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_14_14 & ssItem(v1) = 0) % 39.61/11.39 | % 39.61/11.39 | Instantiating formula (63) with all_0_12_12, nil, all_0_13_13 and discharging atoms ssList(all_0_13_13) = 0, neq(all_0_13_13, nil) = all_0_12_12, yields: % 39.61/11.39 | (156) all_0_12_12 = 0 | all_0_13_13 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0) % 39.61/11.39 | % 39.61/11.39 +-Applying beta-rule and splitting (58), into two cases. % 39.61/11.39 |-Branch one: % 39.61/11.39 | (157) ~ (all_0_12_12 = 0) % 39.61/11.39 | % 39.61/11.39 +-Applying beta-rule and splitting (156), into two cases. % 39.61/11.39 |-Branch one: % 39.61/11.39 | (158) all_0_13_13 = nil % 39.61/11.39 | % 39.61/11.39 | From (158) and (64) follows: % 39.61/11.39 | (159) memberP(nil, all_0_4_4) = all_0_3_3 % 39.61/11.39 | % 39.61/11.39 +-Applying beta-rule and splitting (40), into two cases. % 39.61/11.39 |-Branch one: % 39.61/11.39 | (160) ~ (all_0_13_13 = nil) % 39.61/11.39 | % 39.61/11.39 | Equations (158) can reduce 160 to: % 39.61/11.39 | (161) $false % 39.61/11.39 | % 39.61/11.40 |-The branch is then unsatisfiable % 39.61/11.40 |-Branch two: % 39.61/11.40 | (158) all_0_13_13 = nil % 39.61/11.40 | (163) all_0_14_14 = nil % 39.61/11.40 | % 39.61/11.40 +-Applying beta-rule and splitting (153), into two cases. % 39.61/11.40 |-Branch one: % 39.61/11.40 | (164) ~ (memberP(all_0_14_14, all_0_4_4) = all_0_3_3) % 39.61/11.40 | % 39.61/11.40 | From (163) and (164) follows: % 39.61/11.40 | (165) ~ (memberP(nil, all_0_4_4) = all_0_3_3) % 39.61/11.40 | % 39.61/11.40 | Using (159) and (165) yields: % 39.61/11.40 | (166) $false % 39.61/11.40 | % 39.61/11.40 |-The branch is then unsatisfiable % 39.61/11.40 |-Branch two: % 39.61/11.40 | (167) memberP(all_0_14_14, all_0_4_4) = all_0_3_3 % 39.61/11.40 | (168) all_0_2_2 = all_0_3_3 % 39.61/11.40 | % 39.61/11.40 +-Applying beta-rule and splitting (146), into two cases. % 39.61/11.40 |-Branch one: % 39.61/11.40 | (169) ~ (all_0_2_2 = 0) % 39.61/11.40 | % 39.61/11.40 | Equations (168) can reduce 169 to: % 39.61/11.40 | (170) ~ (all_0_3_3 = 0) % 39.61/11.40 | % 39.61/11.40 +-Applying beta-rule and splitting (62), into two cases. % 39.61/11.40 |-Branch one: % 39.61/11.40 | (171) all_0_2_2 = 0 % 39.61/11.40 | % 39.61/11.40 | Combining equations (171,168) yields a new equation: % 39.61/11.40 | (172) all_0_3_3 = 0 % 39.61/11.40 | % 39.61/11.40 | Equations (172) can reduce 170 to: % 39.61/11.40 | (161) $false % 39.61/11.40 | % 39.61/11.40 |-The branch is then unsatisfiable % 39.61/11.40 |-Branch two: % 39.61/11.40 | (169) ~ (all_0_2_2 = 0) % 39.61/11.40 | (172) all_0_3_3 = 0 % 39.61/11.40 | % 39.61/11.40 | Equations (172) can reduce 170 to: % 39.61/11.40 | (161) $false % 39.61/11.40 | % 39.61/11.40 |-The branch is then unsatisfiable % 39.61/11.40 |-Branch two: % 39.61/11.40 | (171) all_0_2_2 = 0 % 39.61/11.40 | (170) ~ (all_0_3_3 = 0) % 39.61/11.40 | % 39.61/11.40 | Combining equations (171,168) yields a new equation: % 39.61/11.40 | (172) all_0_3_3 = 0 % 39.61/11.40 | % 39.61/11.40 | Equations (172) can reduce 170 to: % 39.61/11.40 | (161) $false % 39.61/11.40 | % 39.61/11.40 |-The branch is then unsatisfiable % 39.61/11.40 |-Branch two: % 39.61/11.40 | (160) ~ (all_0_13_13 = nil) % 39.61/11.40 | (182) all_0_12_12 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0) % 39.61/11.40 | % 39.61/11.40 +-Applying beta-rule and splitting (182), into two cases. % 39.61/11.40 |-Branch one: % 39.61/11.40 | (183) all_0_12_12 = 0 % 39.61/11.40 | % 39.61/11.40 | Equations (183) can reduce 157 to: % 39.61/11.40 | (161) $false % 39.61/11.40 | % 39.61/11.40 |-The branch is then unsatisfiable % 39.61/11.40 |-Branch two: % 39.61/11.40 | (157) ~ (all_0_12_12 = 0) % 39.61/11.40 | (186) ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0) % 39.61/11.40 | % 39.61/11.40 | Instantiating (186) with all_18_0_16 yields: % 39.61/11.40 | (187) ~ (all_18_0_16 = 0) & ssList(nil) = all_18_0_16 % 39.61/11.40 | % 39.61/11.40 | Applying alpha-rule on (187) yields: % 39.61/11.40 | (188) ~ (all_18_0_16 = 0) % 39.61/11.40 | (189) ssList(nil) = all_18_0_16 % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (142) with nil, all_18_0_16, 0 and discharging atoms ssList(nil) = all_18_0_16, ssList(nil) = 0, yields: % 39.61/11.40 | (190) all_18_0_16 = 0 % 39.61/11.40 | % 39.61/11.40 | Equations (190) can reduce 188 to: % 39.61/11.40 | (161) $false % 39.61/11.40 | % 39.61/11.40 |-The branch is then unsatisfiable % 39.61/11.40 |-Branch two: % 39.61/11.40 | (183) all_0_12_12 = 0 % 39.61/11.40 | (193) all_0_5_5 = all_0_13_13 & all_0_6_6 = all_0_14_14 & all_0_7_7 = 0 & all_0_10_10 = 0 & ssList(all_0_8_8) = 0 & cons(all_0_11_11, nil) = all_0_9_9 & app(all_0_8_8, all_0_9_9) = all_0_13_13 & app(all_0_9_9, all_0_8_8) = all_0_14_14 & ssItem(all_0_11_11) = 0 % 39.61/11.40 | % 39.61/11.40 | Applying alpha-rule on (193) yields: % 39.61/11.40 | (194) cons(all_0_11_11, nil) = all_0_9_9 % 39.61/11.40 | (195) app(all_0_8_8, all_0_9_9) = all_0_13_13 % 39.61/11.40 | (196) ssList(all_0_8_8) = 0 % 39.61/11.40 | (197) all_0_6_6 = all_0_14_14 % 39.61/11.40 | (198) all_0_7_7 = 0 % 39.61/11.40 | (199) all_0_10_10 = 0 % 39.61/11.40 | (200) ssItem(all_0_11_11) = 0 % 39.61/11.40 | (201) app(all_0_9_9, all_0_8_8) = all_0_14_14 % 39.61/11.40 | (202) all_0_5_5 = all_0_13_13 % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (71) with all_0_8_8 and discharging atoms ssList(all_0_8_8) = 0, yields: % 39.61/11.40 | (203) all_0_8_8 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_8_8 & ssItem(v1) = 0) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (132) with all_0_9_9, all_0_11_11, nil and discharging atoms ssList(nil) = 0, cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (204) ? [v0] : ? [v1] : (tl(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = nil)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (80) with all_0_9_9, all_0_11_11, nil and discharging atoms ssList(nil) = 0, cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (205) ? [v0] : ? [v1] : (hd(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = all_0_11_11)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (108) with all_0_9_9, all_0_11_11, nil and discharging atoms ssList(nil) = 0, cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (206) ? [v0] : ? [v1] : (ssList(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (29) with all_0_11_11, all_0_15_15, nil and discharging atoms singletonP(nil) = all_0_15_15, yields: % 39.61/11.40 | (207) all_0_15_15 = 0 | ~ (cons(all_0_11_11, nil) = nil) | ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (122) with all_0_9_9, all_0_11_11 and discharging atoms cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (208) ? [v0] : ? [v1] : (equalelemsP(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (7) with all_0_9_9, all_0_11_11 and discharging atoms cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (209) ? [v0] : ? [v1] : (duplicatefreeP(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (89) with all_0_9_9, all_0_11_11 and discharging atoms cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (210) ? [v0] : ? [v1] : (strictorderedP(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (54) with all_0_9_9, all_0_11_11 and discharging atoms cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (211) ? [v0] : ? [v1] : (totalorderedP(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (136) with all_0_9_9, all_0_11_11 and discharging atoms cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (212) ? [v0] : ? [v1] : (strictorderP(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (67) with all_0_9_9, all_0_11_11 and discharging atoms cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (213) ? [v0] : ? [v1] : (totalorderP(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (9) with all_0_9_9, all_0_11_11 and discharging atoms cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.61/11.40 | (214) ? [v0] : ? [v1] : (cyclefreeP(all_0_9_9) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (100) with all_0_11_11, nil and discharging atoms ssList(nil) = 0, yields: % 39.61/11.40 | (215) ~ (cons(all_0_11_11, nil) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (149) with all_0_9_9, nil, all_0_8_8, all_0_3_3, all_0_11_11, all_0_13_13 and discharging atoms ssList(all_0_8_8) = 0, ssList(all_0_13_13) = 0, cons(all_0_11_11, nil) = all_0_9_9, app(all_0_8_8, all_0_9_9) = all_0_13_13, yields: % 39.61/11.40 | (216) all_0_3_3 = 0 | ~ (memberP(all_0_13_13, all_0_11_11) = all_0_3_3) | ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (49) with all_0_13_13, all_0_9_9, all_0_8_8 and discharging atoms ssList(all_0_8_8) = 0, app(all_0_8_8, all_0_9_9) = all_0_13_13, yields: % 39.61/11.40 | (217) ? [v0] : ? [v1] : (ssList(all_0_9_9) = v0 & ssList(all_0_13_13) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (51) with all_0_9_9, all_0_8_8 and discharging atoms ssList(all_0_8_8) = 0, yields: % 39.61/11.40 | (218) all_0_9_9 = nil | ~ (app(all_0_8_8, all_0_9_9) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (25) with all_0_13_13, all_0_9_9 yields: % 39.61/11.40 | (219) all_0_9_9 = all_0_13_13 | ~ (app(nil, all_0_9_9) = all_0_13_13) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (130) with all_0_2_2, all_0_14_14, all_0_8_8, all_0_3_3, all_0_13_13, all_0_4_4 and discharging atoms memberP(all_0_13_13, all_0_4_4) = all_0_3_3, memberP(all_0_14_14, all_0_4_4) = all_0_2_2, ssItem(all_0_4_4) = 0, yields: % 39.61/11.40 | (220) ~ (app(all_0_13_13, all_0_8_8) = all_0_14_14) | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_13_13) = v0) | (memberP(all_0_8_8, all_0_4_4) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_0_3_3 = 0) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_0_3_3 = 0))))))) % 39.61/11.40 | % 39.61/11.40 | Instantiating formula (117) with all_0_14_14, all_0_9_9, all_0_11_11, all_0_8_8 and discharging atoms ssList(all_0_8_8) = 0, cons(all_0_11_11, nil) = all_0_9_9, app(all_0_9_9, all_0_8_8) = all_0_14_14, yields: % 39.61/11.40 | (221) ? [v0] : ? [v1] : (cons(all_0_11_11, all_0_8_8) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = all_0_14_14)) % 39.61/11.40 | % 39.61/11.40 | Instantiating (221) with all_15_0_19, all_15_1_20 yields: % 39.61/11.40 | (222) cons(all_0_11_11, all_0_8_8) = all_15_0_19 & ssItem(all_0_11_11) = all_15_1_20 & ( ~ (all_15_1_20 = 0) | all_15_0_19 = all_0_14_14) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (222) yields: % 39.61/11.41 | (223) cons(all_0_11_11, all_0_8_8) = all_15_0_19 % 39.61/11.41 | (224) ssItem(all_0_11_11) = all_15_1_20 % 39.61/11.41 | (225) ~ (all_15_1_20 = 0) | all_15_0_19 = all_0_14_14 % 39.61/11.41 | % 39.61/11.41 | Instantiating (217) with all_17_0_21, all_17_1_22 yields: % 39.61/11.41 | (226) ssList(all_0_9_9) = all_17_1_22 & ssList(all_0_13_13) = all_17_0_21 & ( ~ (all_17_1_22 = 0) | all_17_0_21 = 0) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (226) yields: % 39.61/11.41 | (227) ssList(all_0_9_9) = all_17_1_22 % 39.61/11.41 | (228) ssList(all_0_13_13) = all_17_0_21 % 39.61/11.41 | (229) ~ (all_17_1_22 = 0) | all_17_0_21 = 0 % 39.61/11.41 | % 39.61/11.41 | Instantiating (210) with all_19_0_23, all_19_1_24 yields: % 39.61/11.41 | (230) strictorderedP(all_0_9_9) = all_19_0_23 & ssItem(all_0_11_11) = all_19_1_24 & ( ~ (all_19_1_24 = 0) | all_19_0_23 = 0) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (230) yields: % 39.61/11.41 | (231) strictorderedP(all_0_9_9) = all_19_0_23 % 39.61/11.41 | (232) ssItem(all_0_11_11) = all_19_1_24 % 39.61/11.41 | (233) ~ (all_19_1_24 = 0) | all_19_0_23 = 0 % 39.61/11.41 | % 39.61/11.41 | Instantiating (208) with all_21_0_25, all_21_1_26 yields: % 39.61/11.41 | (234) equalelemsP(all_0_9_9) = all_21_0_25 & ssItem(all_0_11_11) = all_21_1_26 & ( ~ (all_21_1_26 = 0) | all_21_0_25 = 0) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (234) yields: % 39.61/11.41 | (235) equalelemsP(all_0_9_9) = all_21_0_25 % 39.61/11.41 | (236) ssItem(all_0_11_11) = all_21_1_26 % 39.61/11.41 | (237) ~ (all_21_1_26 = 0) | all_21_0_25 = 0 % 39.61/11.41 | % 39.61/11.41 | Instantiating (209) with all_23_0_27, all_23_1_28 yields: % 39.61/11.41 | (238) duplicatefreeP(all_0_9_9) = all_23_0_27 & ssItem(all_0_11_11) = all_23_1_28 & ( ~ (all_23_1_28 = 0) | all_23_0_27 = 0) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (238) yields: % 39.61/11.41 | (239) duplicatefreeP(all_0_9_9) = all_23_0_27 % 39.61/11.41 | (240) ssItem(all_0_11_11) = all_23_1_28 % 39.61/11.41 | (241) ~ (all_23_1_28 = 0) | all_23_0_27 = 0 % 39.61/11.41 | % 39.61/11.41 | Instantiating (206) with all_25_0_29, all_25_1_30 yields: % 39.61/11.41 | (242) ssList(all_0_9_9) = all_25_0_29 & ssItem(all_0_11_11) = all_25_1_30 & ( ~ (all_25_1_30 = 0) | all_25_0_29 = 0) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (242) yields: % 39.61/11.41 | (243) ssList(all_0_9_9) = all_25_0_29 % 39.61/11.41 | (244) ssItem(all_0_11_11) = all_25_1_30 % 39.61/11.41 | (245) ~ (all_25_1_30 = 0) | all_25_0_29 = 0 % 39.61/11.41 | % 39.61/11.41 | Instantiating (204) with all_27_0_31, all_27_1_32 yields: % 39.61/11.41 | (246) tl(all_0_9_9) = all_27_0_31 & ssItem(all_0_11_11) = all_27_1_32 & ( ~ (all_27_1_32 = 0) | all_27_0_31 = nil) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (246) yields: % 39.61/11.41 | (247) tl(all_0_9_9) = all_27_0_31 % 39.61/11.41 | (248) ssItem(all_0_11_11) = all_27_1_32 % 39.61/11.41 | (249) ~ (all_27_1_32 = 0) | all_27_0_31 = nil % 39.61/11.41 | % 39.61/11.41 | Instantiating (205) with all_29_0_33, all_29_1_34 yields: % 39.61/11.41 | (250) hd(all_0_9_9) = all_29_0_33 & ssItem(all_0_11_11) = all_29_1_34 & ( ~ (all_29_1_34 = 0) | all_29_0_33 = all_0_11_11) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (250) yields: % 39.61/11.41 | (251) hd(all_0_9_9) = all_29_0_33 % 39.61/11.41 | (252) ssItem(all_0_11_11) = all_29_1_34 % 39.61/11.41 | (253) ~ (all_29_1_34 = 0) | all_29_0_33 = all_0_11_11 % 39.61/11.41 | % 39.61/11.41 | Instantiating (214) with all_31_0_35, all_31_1_36 yields: % 39.61/11.41 | (254) cyclefreeP(all_0_9_9) = all_31_0_35 & ssItem(all_0_11_11) = all_31_1_36 & ( ~ (all_31_1_36 = 0) | all_31_0_35 = 0) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (254) yields: % 39.61/11.41 | (255) cyclefreeP(all_0_9_9) = all_31_0_35 % 39.61/11.41 | (256) ssItem(all_0_11_11) = all_31_1_36 % 39.61/11.41 | (257) ~ (all_31_1_36 = 0) | all_31_0_35 = 0 % 39.61/11.41 | % 39.61/11.41 | Instantiating (213) with all_33_0_37, all_33_1_38 yields: % 39.61/11.41 | (258) totalorderP(all_0_9_9) = all_33_0_37 & ssItem(all_0_11_11) = all_33_1_38 & ( ~ (all_33_1_38 = 0) | all_33_0_37 = 0) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (258) yields: % 39.61/11.41 | (259) totalorderP(all_0_9_9) = all_33_0_37 % 39.61/11.41 | (260) ssItem(all_0_11_11) = all_33_1_38 % 39.61/11.41 | (261) ~ (all_33_1_38 = 0) | all_33_0_37 = 0 % 39.61/11.41 | % 39.61/11.41 | Instantiating (212) with all_35_0_39, all_35_1_40 yields: % 39.61/11.41 | (262) strictorderP(all_0_9_9) = all_35_0_39 & ssItem(all_0_11_11) = all_35_1_40 & ( ~ (all_35_1_40 = 0) | all_35_0_39 = 0) % 39.61/11.41 | % 39.61/11.41 | Applying alpha-rule on (262) yields: % 39.61/11.41 | (263) strictorderP(all_0_9_9) = all_35_0_39 % 39.61/11.41 | (264) ssItem(all_0_11_11) = all_35_1_40 % 39.61/11.41 | (265) ~ (all_35_1_40 = 0) | all_35_0_39 = 0 % 39.61/11.41 | % 39.77/11.41 | Instantiating (211) with all_37_0_41, all_37_1_42 yields: % 39.77/11.41 | (266) totalorderedP(all_0_9_9) = all_37_0_41 & ssItem(all_0_11_11) = all_37_1_42 & ( ~ (all_37_1_42 = 0) | all_37_0_41 = 0) % 39.77/11.41 | % 39.77/11.41 | Applying alpha-rule on (266) yields: % 39.77/11.41 | (267) totalorderedP(all_0_9_9) = all_37_0_41 % 39.77/11.41 | (268) ssItem(all_0_11_11) = all_37_1_42 % 39.77/11.41 | (269) ~ (all_37_1_42 = 0) | all_37_0_41 = 0 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_9_9, all_25_0_29, 0 and discharging atoms ssList(all_0_9_9) = all_25_0_29, yields: % 39.77/11.41 | (270) all_25_0_29 = 0 | ~ (ssList(all_0_9_9) = 0) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_13_13, all_25_0_29, 0 and discharging atoms ssList(all_0_13_13) = 0, yields: % 39.77/11.41 | (271) all_25_0_29 = 0 | ~ (ssList(all_0_13_13) = all_25_0_29) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_14_14, all_25_0_29, 0 and discharging atoms ssList(all_0_14_14) = 0, yields: % 39.77/11.41 | (272) all_25_0_29 = 0 | ~ (ssList(all_0_14_14) = all_25_0_29) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with nil, all_25_0_29, 0 and discharging atoms ssList(nil) = 0, yields: % 39.77/11.41 | (273) all_25_0_29 = 0 | ~ (ssList(nil) = all_25_0_29) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_9_9, all_17_1_22, 0 and discharging atoms ssList(all_0_9_9) = all_17_1_22, yields: % 39.77/11.41 | (274) all_17_1_22 = 0 | ~ (ssList(all_0_9_9) = 0) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_13_13, all_17_1_22, 0 and discharging atoms ssList(all_0_13_13) = 0, yields: % 39.77/11.41 | (275) all_17_1_22 = 0 | ~ (ssList(all_0_13_13) = all_17_1_22) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_14_14, all_17_1_22, 0 and discharging atoms ssList(all_0_14_14) = 0, yields: % 39.77/11.41 | (276) all_17_1_22 = 0 | ~ (ssList(all_0_14_14) = all_17_1_22) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with nil, all_17_1_22, 0 and discharging atoms ssList(nil) = 0, yields: % 39.77/11.41 | (277) all_17_1_22 = 0 | ~ (ssList(nil) = all_17_1_22) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_9_9, all_17_1_22, all_25_0_29 and discharging atoms ssList(all_0_9_9) = all_25_0_29, ssList(all_0_9_9) = all_17_1_22, yields: % 39.77/11.41 | (278) all_25_0_29 = all_17_1_22 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_13_13, all_17_0_21, 0 and discharging atoms ssList(all_0_13_13) = all_17_0_21, ssList(all_0_13_13) = 0, yields: % 39.77/11.41 | (279) all_17_0_21 = 0 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_14_14, all_17_0_21, 0 and discharging atoms ssList(all_0_14_14) = 0, yields: % 39.77/11.41 | (280) all_17_0_21 = 0 | ~ (ssList(all_0_14_14) = all_17_0_21) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with nil, all_17_0_21, 0 and discharging atoms ssList(nil) = 0, yields: % 39.77/11.41 | (281) all_17_0_21 = 0 | ~ (ssList(nil) = all_17_0_21) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_13_13, all_17_0_21, all_25_0_29 and discharging atoms ssList(all_0_13_13) = all_17_0_21, yields: % 39.77/11.41 | (282) all_25_0_29 = all_17_0_21 | ~ (ssList(all_0_13_13) = all_25_0_29) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (142) with all_0_13_13, all_17_0_21, all_17_1_22 and discharging atoms ssList(all_0_13_13) = all_17_0_21, yields: % 39.77/11.41 | (283) all_17_0_21 = all_17_1_22 | ~ (ssList(all_0_13_13) = all_17_1_22) % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_35_1_40, all_37_1_42 and discharging atoms ssItem(all_0_11_11) = all_37_1_42, ssItem(all_0_11_11) = all_35_1_40, yields: % 39.77/11.41 | (284) all_37_1_42 = all_35_1_40 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_31_1_36, all_37_1_42 and discharging atoms ssItem(all_0_11_11) = all_37_1_42, ssItem(all_0_11_11) = all_31_1_36, yields: % 39.77/11.41 | (285) all_37_1_42 = all_31_1_36 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_29_1_34, all_37_1_42 and discharging atoms ssItem(all_0_11_11) = all_37_1_42, ssItem(all_0_11_11) = all_29_1_34, yields: % 39.77/11.41 | (286) all_37_1_42 = all_29_1_34 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_25_1_30, all_37_1_42 and discharging atoms ssItem(all_0_11_11) = all_37_1_42, ssItem(all_0_11_11) = all_25_1_30, yields: % 39.77/11.41 | (287) all_37_1_42 = all_25_1_30 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_23_1_28, 0 and discharging atoms ssItem(all_0_11_11) = all_23_1_28, ssItem(all_0_11_11) = 0, yields: % 39.77/11.41 | (288) all_23_1_28 = 0 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_23_1_28, all_33_1_38 and discharging atoms ssItem(all_0_11_11) = all_33_1_38, ssItem(all_0_11_11) = all_23_1_28, yields: % 39.77/11.41 | (289) all_33_1_38 = all_23_1_28 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_23_1_28, all_27_1_32 and discharging atoms ssItem(all_0_11_11) = all_27_1_32, ssItem(all_0_11_11) = all_23_1_28, yields: % 39.77/11.41 | (290) all_27_1_32 = all_23_1_28 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_23_1_28, all_25_1_30 and discharging atoms ssItem(all_0_11_11) = all_25_1_30, ssItem(all_0_11_11) = all_23_1_28, yields: % 39.77/11.41 | (291) all_25_1_30 = all_23_1_28 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_21_1_26, all_35_1_40 and discharging atoms ssItem(all_0_11_11) = all_35_1_40, ssItem(all_0_11_11) = all_21_1_26, yields: % 39.77/11.41 | (292) all_35_1_40 = all_21_1_26 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_19_1_24, all_33_1_38 and discharging atoms ssItem(all_0_11_11) = all_33_1_38, ssItem(all_0_11_11) = all_19_1_24, yields: % 39.77/11.41 | (293) all_33_1_38 = all_19_1_24 % 39.77/11.41 | % 39.77/11.41 | Instantiating formula (12) with all_0_11_11, all_15_1_20, all_27_1_32 and discharging atoms ssItem(all_0_11_11) = all_27_1_32, ssItem(all_0_11_11) = all_15_1_20, yields: % 39.77/11.41 | (294) all_27_1_32 = all_15_1_20 % 39.77/11.41 | % 39.77/11.41 | Combining equations (284,285) yields a new equation: % 39.77/11.41 | (295) all_35_1_40 = all_31_1_36 % 39.77/11.42 | % 39.77/11.42 | Simplifying 295 yields: % 39.77/11.42 | (296) all_35_1_40 = all_31_1_36 % 39.77/11.42 | % 39.77/11.42 | Combining equations (287,285) yields a new equation: % 39.77/11.42 | (297) all_31_1_36 = all_25_1_30 % 39.77/11.42 | % 39.77/11.42 | Combining equations (286,285) yields a new equation: % 39.77/11.42 | (298) all_31_1_36 = all_29_1_34 % 39.77/11.42 | % 39.77/11.42 | Combining equations (296,292) yields a new equation: % 39.77/11.42 | (299) all_31_1_36 = all_21_1_26 % 39.77/11.42 | % 39.77/11.42 | Simplifying 299 yields: % 39.77/11.42 | (300) all_31_1_36 = all_21_1_26 % 39.77/11.42 | % 39.77/11.42 | Combining equations (289,293) yields a new equation: % 39.77/11.42 | (301) all_23_1_28 = all_19_1_24 % 39.77/11.42 | % 39.77/11.42 | Simplifying 301 yields: % 39.77/11.42 | (302) all_23_1_28 = all_19_1_24 % 39.77/11.42 | % 39.77/11.42 | Combining equations (297,298) yields a new equation: % 39.77/11.42 | (303) all_29_1_34 = all_25_1_30 % 39.77/11.42 | % 39.77/11.42 | Combining equations (300,298) yields a new equation: % 39.77/11.42 | (304) all_29_1_34 = all_21_1_26 % 39.77/11.42 | % 39.77/11.42 | Combining equations (303,304) yields a new equation: % 39.77/11.42 | (305) all_25_1_30 = all_21_1_26 % 39.77/11.42 | % 39.77/11.42 | Simplifying 305 yields: % 39.77/11.42 | (306) all_25_1_30 = all_21_1_26 % 39.77/11.42 | % 39.77/11.42 | Combining equations (290,294) yields a new equation: % 39.77/11.42 | (307) all_23_1_28 = all_15_1_20 % 39.77/11.42 | % 39.77/11.42 | Simplifying 307 yields: % 39.77/11.42 | (308) all_23_1_28 = all_15_1_20 % 39.77/11.42 | % 39.77/11.42 | Combining equations (291,306) yields a new equation: % 39.77/11.42 | (309) all_23_1_28 = all_21_1_26 % 39.77/11.42 | % 39.77/11.42 | Simplifying 309 yields: % 39.77/11.42 | (310) all_23_1_28 = all_21_1_26 % 39.77/11.42 | % 39.77/11.42 | Combining equations (302,310) yields a new equation: % 39.77/11.42 | (311) all_21_1_26 = all_19_1_24 % 39.77/11.42 | % 39.77/11.42 | Combining equations (288,310) yields a new equation: % 39.77/11.42 | (312) all_21_1_26 = 0 % 39.77/11.42 | % 39.77/11.42 | Combining equations (308,310) yields a new equation: % 39.77/11.42 | (313) all_21_1_26 = all_15_1_20 % 39.77/11.42 | % 39.77/11.42 | Combining equations (313,311) yields a new equation: % 39.77/11.42 | (314) all_19_1_24 = all_15_1_20 % 39.77/11.42 | % 39.77/11.42 | Combining equations (312,311) yields a new equation: % 39.77/11.42 | (315) all_19_1_24 = 0 % 39.77/11.42 | % 39.77/11.42 | Combining equations (315,314) yields a new equation: % 39.77/11.42 | (316) all_15_1_20 = 0 % 39.77/11.42 | % 39.77/11.42 | Combining equations (316,314) yields a new equation: % 39.77/11.42 | (315) all_19_1_24 = 0 % 39.77/11.42 | % 39.77/11.42 | Combining equations (315,311) yields a new equation: % 39.77/11.42 | (312) all_21_1_26 = 0 % 39.77/11.42 | % 39.77/11.42 | Combining equations (312,306) yields a new equation: % 39.77/11.42 | (319) all_25_1_30 = 0 % 39.77/11.42 | % 39.77/11.42 | Combining equations (316,294) yields a new equation: % 39.77/11.42 | (320) all_27_1_32 = 0 % 39.77/11.42 | % 39.77/11.42 | Combining equations (312,304) yields a new equation: % 39.77/11.42 | (321) all_29_1_34 = 0 % 39.77/11.42 | % 39.77/11.42 | From (278) and (243) follows: % 39.77/11.42 | (227) ssList(all_0_9_9) = all_17_1_22 % 39.77/11.42 | % 39.77/11.42 | From (279) and (228) follows: % 39.77/11.42 | (87) ssList(all_0_13_13) = 0 % 39.77/11.42 | % 39.77/11.42 | From (316) and (224) follows: % 39.77/11.42 | (200) ssItem(all_0_11_11) = 0 % 39.77/11.42 | % 39.77/11.42 +-Applying beta-rule and splitting (207), into two cases. % 39.77/11.42 |-Branch one: % 39.77/11.42 | (325) ~ (cons(all_0_11_11, nil) = nil) % 39.77/11.42 | % 39.77/11.42 +-Applying beta-rule and splitting (253), into two cases. % 39.77/11.42 |-Branch one: % 39.77/11.42 | (326) ~ (all_29_1_34 = 0) % 39.77/11.42 | % 39.77/11.42 | Equations (321) can reduce 326 to: % 39.77/11.42 | (161) $false % 39.77/11.42 | % 39.77/11.42 |-The branch is then unsatisfiable % 39.77/11.42 |-Branch two: % 39.77/11.42 | (321) all_29_1_34 = 0 % 39.77/11.42 | (329) all_29_0_33 = all_0_11_11 % 39.77/11.42 | % 39.77/11.42 | From (329) and (251) follows: % 39.77/11.42 | (330) hd(all_0_9_9) = all_0_11_11 % 39.77/11.42 | % 39.77/11.42 +-Applying beta-rule and splitting (249), into two cases. % 39.77/11.42 |-Branch one: % 39.77/11.42 | (331) ~ (all_27_1_32 = 0) % 39.77/11.42 | % 39.77/11.42 | Equations (320) can reduce 331 to: % 39.77/11.42 | (161) $false % 39.77/11.42 | % 39.77/11.42 |-The branch is then unsatisfiable % 39.77/11.42 |-Branch two: % 39.77/11.42 | (320) all_27_1_32 = 0 % 39.77/11.42 | (334) all_27_0_31 = nil % 39.77/11.42 | % 39.77/11.42 | From (334) and (247) follows: % 39.77/11.42 | (335) tl(all_0_9_9) = nil % 39.77/11.42 | % 39.77/11.42 +-Applying beta-rule and splitting (225), into two cases. % 39.77/11.42 |-Branch one: % 39.77/11.42 | (336) ~ (all_15_1_20 = 0) % 39.77/11.42 | % 39.77/11.42 | Equations (316) can reduce 336 to: % 39.77/11.42 | (161) $false % 39.77/11.42 | % 39.77/11.42 |-The branch is then unsatisfiable % 39.77/11.42 |-Branch two: % 39.77/11.42 | (316) all_15_1_20 = 0 % 39.77/11.42 | (339) all_15_0_19 = all_0_14_14 % 39.77/11.42 | % 39.77/11.42 | From (339) and (223) follows: % 39.77/11.42 | (340) cons(all_0_11_11, all_0_8_8) = all_0_14_14 % 39.77/11.42 | % 39.77/11.42 +-Applying beta-rule and splitting (245), into two cases. % 39.77/11.42 |-Branch one: % 39.77/11.42 | (341) ~ (all_25_1_30 = 0) % 39.77/11.42 | % 39.77/11.42 | Equations (319) can reduce 341 to: % 39.77/11.42 | (161) $false % 39.77/11.42 | % 39.77/11.42 |-The branch is then unsatisfiable % 39.77/11.42 |-Branch two: % 39.77/11.42 | (319) all_25_1_30 = 0 % 39.77/11.42 | (344) all_25_0_29 = 0 % 39.77/11.42 | % 39.77/11.42 | Combining equations (278,344) yields a new equation: % 39.77/11.42 | (345) all_17_1_22 = 0 % 39.77/11.42 | % 39.77/11.42 | Simplifying 345 yields: % 39.77/11.42 | (346) all_17_1_22 = 0 % 39.77/11.42 | % 39.77/11.42 | From (346) and (227) follows: % 39.77/11.42 | (347) ssList(all_0_9_9) = 0 % 39.77/11.42 | % 39.77/11.42 | Using (194) and (325) yields: % 39.77/11.42 | (348) ~ (all_0_9_9 = nil) % 39.77/11.42 | % 39.77/11.42 +-Applying beta-rule and splitting (218), into two cases. % 39.77/11.42 |-Branch one: % 39.77/11.42 | (349) ~ (app(all_0_8_8, all_0_9_9) = nil) % 39.77/11.42 | % 39.77/11.42 | Using (195) and (349) yields: % 39.77/11.42 | (160) ~ (all_0_13_13 = nil) % 39.77/11.42 | % 39.77/11.42 +-Applying beta-rule and splitting (154), into two cases. % 39.77/11.42 |-Branch one: % 39.77/11.42 | (158) all_0_13_13 = nil % 39.77/11.42 | % 39.77/11.42 | Equations (158) can reduce 160 to: % 39.77/11.42 | (161) $false % 39.77/11.42 | % 39.77/11.42 |-The branch is then unsatisfiable % 39.77/11.42 |-Branch two: % 39.77/11.42 | (160) ~ (all_0_13_13 = nil) % 39.77/11.42 | (354) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_13_13 & ssItem(v1) = 0) % 39.77/11.42 | % 39.77/11.42 | Instantiating (354) with all_107_0_43, all_107_1_44 yields: % 39.77/11.42 | (355) ssList(all_107_1_44) = 0 & cons(all_107_0_43, all_107_1_44) = all_0_13_13 & ssItem(all_107_0_43) = 0 % 39.77/11.42 | % 39.77/11.42 | Applying alpha-rule on (355) yields: % 39.77/11.42 | (356) ssList(all_107_1_44) = 0 % 39.77/11.42 | (357) cons(all_107_0_43, all_107_1_44) = all_0_13_13 % 39.77/11.42 | (358) ssItem(all_107_0_43) = 0 % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (104) with nil, all_0_9_9 and discharging atoms tl(all_0_9_9) = nil, yields: % 39.77/11.42 | (359) ? [v0] : ? [v1] : (hd(all_0_9_9) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | ! [v2] : (v2 = all_0_9_9 | v2 = nil | all_0_9_9 = nil | ~ (tl(v2) = nil) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssList(v2) = v3 & ( ~ (v4 = v1) | ~ (v3 = 0)))))) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (109) with all_0_14_14, all_0_8_8, all_0_11_11, all_0_9_9 and discharging atoms hd(all_0_9_9) = all_0_11_11, app(all_0_9_9, all_0_8_8) = all_0_14_14, yields: % 39.77/11.42 | (360) all_0_9_9 = nil | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (hd(all_0_14_14) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_11_11))) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (45) with all_0_8_8, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, yields: % 39.77/11.42 | (361) all_0_9_9 = nil | ~ (app(all_0_9_9, all_0_8_8) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_8_8) = v0) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (71) with all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, yields: % 39.77/11.42 | (362) all_0_9_9 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_9_9 & ssItem(v1) = 0) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (132) with all_0_13_13, all_107_0_43, all_107_1_44 and discharging atoms ssList(all_107_1_44) = 0, cons(all_107_0_43, all_107_1_44) = all_0_13_13, yields: % 39.77/11.42 | (363) ? [v0] : ? [v1] : (tl(all_0_13_13) = v1 & ssItem(all_107_0_43) = v0 & ( ~ (v0 = 0) | v1 = all_107_1_44)) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (80) with all_0_13_13, all_107_0_43, all_107_1_44 and discharging atoms ssList(all_107_1_44) = 0, cons(all_107_0_43, all_107_1_44) = all_0_13_13, yields: % 39.77/11.42 | (364) ? [v0] : ? [v1] : (hd(all_0_13_13) = v1 & ssItem(all_107_0_43) = v0 & ( ~ (v0 = 0) | v1 = all_107_0_43)) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (35) with all_0_2_2, all_0_14_14, all_0_8_8, all_0_11_11, all_0_4_4 and discharging atoms memberP(all_0_14_14, all_0_4_4) = all_0_2_2, cons(all_0_11_11, all_0_8_8) = all_0_14_14, ssItem(all_0_4_4) = 0, ssItem(all_0_11_11) = 0, yields: % 39.77/11.42 | (365) ? [v0] : ? [v1] : (memberP(all_0_8_8, all_0_4_4) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_0_4_4 = all_0_11_11) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_0_4_4 = all_0_11_11)))))) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (132) with all_0_14_14, all_0_11_11, all_0_8_8 and discharging atoms ssList(all_0_8_8) = 0, cons(all_0_11_11, all_0_8_8) = all_0_14_14, yields: % 39.77/11.42 | (366) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8)) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (80) with all_0_14_14, all_0_11_11, all_0_8_8 and discharging atoms ssList(all_0_8_8) = 0, cons(all_0_11_11, all_0_8_8) = all_0_14_14, yields: % 39.77/11.42 | (367) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = all_0_11_11)) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (100) with all_0_11_11, all_0_8_8 and discharging atoms ssList(all_0_8_8) = 0, yields: % 39.77/11.42 | (368) ~ (cons(all_0_11_11, all_0_8_8) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0) % 39.77/11.42 | % 39.77/11.42 | Instantiating formula (35) with all_0_3_3, all_0_13_13, all_107_1_44, all_107_0_43, all_0_4_4 and discharging atoms memberP(all_0_13_13, all_0_4_4) = all_0_3_3, cons(all_107_0_43, all_107_1_44) = all_0_13_13, ssItem(all_107_0_43) = 0, ssItem(all_0_4_4) = 0, yields: % 39.77/11.42 | (369) ? [v0] : ? [v1] : (memberP(all_107_1_44, all_0_4_4) = v1 & ssList(all_107_1_44) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_3_3 = 0) | v1 = 0 | all_107_0_43 = all_0_4_4) & (all_0_3_3 = 0 | ( ~ (v1 = 0) & ~ (all_107_0_43 = all_0_4_4)))))) % 39.77/11.42 | % 39.77/11.42 | Instantiating (369) with all_114_0_45, all_114_1_46 yields: % 39.77/11.42 | (370) memberP(all_107_1_44, all_0_4_4) = all_114_0_45 & ssList(all_107_1_44) = all_114_1_46 & ( ~ (all_114_1_46 = 0) | (( ~ (all_0_3_3 = 0) | all_114_0_45 = 0 | all_107_0_43 = all_0_4_4) & (all_0_3_3 = 0 | ( ~ (all_114_0_45 = 0) & ~ (all_107_0_43 = all_0_4_4))))) % 39.77/11.43 | % 39.77/11.43 | Applying alpha-rule on (370) yields: % 39.77/11.43 | (371) memberP(all_107_1_44, all_0_4_4) = all_114_0_45 % 39.77/11.43 | (372) ssList(all_107_1_44) = all_114_1_46 % 39.77/11.43 | (373) ~ (all_114_1_46 = 0) | (( ~ (all_0_3_3 = 0) | all_114_0_45 = 0 | all_107_0_43 = all_0_4_4) & (all_0_3_3 = 0 | ( ~ (all_114_0_45 = 0) & ~ (all_107_0_43 = all_0_4_4)))) % 39.77/11.43 | % 39.77/11.43 | Instantiating (364) with all_116_0_47, all_116_1_48 yields: % 39.77/11.43 | (374) hd(all_0_13_13) = all_116_0_47 & ssItem(all_107_0_43) = all_116_1_48 & ( ~ (all_116_1_48 = 0) | all_116_0_47 = all_107_0_43) % 39.77/11.43 | % 39.77/11.43 | Applying alpha-rule on (374) yields: % 39.77/11.43 | (375) hd(all_0_13_13) = all_116_0_47 % 39.77/11.43 | (376) ssItem(all_107_0_43) = all_116_1_48 % 39.77/11.43 | (377) ~ (all_116_1_48 = 0) | all_116_0_47 = all_107_0_43 % 39.77/11.43 | % 39.77/11.43 | Instantiating (367) with all_118_0_49, all_118_1_50 yields: % 39.77/11.43 | (378) hd(all_0_14_14) = all_118_0_49 & ssItem(all_0_11_11) = all_118_1_50 & ( ~ (all_118_1_50 = 0) | all_118_0_49 = all_0_11_11) % 39.77/11.43 | % 39.77/11.43 | Applying alpha-rule on (378) yields: % 39.77/11.43 | (379) hd(all_0_14_14) = all_118_0_49 % 39.77/11.43 | (380) ssItem(all_0_11_11) = all_118_1_50 % 39.77/11.43 | (381) ~ (all_118_1_50 = 0) | all_118_0_49 = all_0_11_11 % 39.77/11.43 | % 39.77/11.43 | Instantiating (365) with all_120_0_51, all_120_1_52 yields: % 39.77/11.43 | (382) memberP(all_0_8_8, all_0_4_4) = all_120_0_51 & ssList(all_0_8_8) = all_120_1_52 & ( ~ (all_120_1_52 = 0) | (( ~ (all_0_2_2 = 0) | all_120_0_51 = 0 | all_0_4_4 = all_0_11_11) & (all_0_2_2 = 0 | ( ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11))))) % 39.77/11.43 | % 39.77/11.43 | Applying alpha-rule on (382) yields: % 39.77/11.43 | (383) memberP(all_0_8_8, all_0_4_4) = all_120_0_51 % 39.77/11.43 | (384) ssList(all_0_8_8) = all_120_1_52 % 39.77/11.43 | (385) ~ (all_120_1_52 = 0) | (( ~ (all_0_2_2 = 0) | all_120_0_51 = 0 | all_0_4_4 = all_0_11_11) & (all_0_2_2 = 0 | ( ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11)))) % 39.77/11.43 | % 39.77/11.43 | Instantiating (363) with all_122_0_53, all_122_1_54 yields: % 39.77/11.43 | (386) tl(all_0_13_13) = all_122_0_53 & ssItem(all_107_0_43) = all_122_1_54 & ( ~ (all_122_1_54 = 0) | all_122_0_53 = all_107_1_44) % 39.77/11.43 | % 39.77/11.43 | Applying alpha-rule on (386) yields: % 39.77/11.43 | (387) tl(all_0_13_13) = all_122_0_53 % 39.77/11.43 | (388) ssItem(all_107_0_43) = all_122_1_54 % 39.77/11.43 | (389) ~ (all_122_1_54 = 0) | all_122_0_53 = all_107_1_44 % 39.77/11.43 | % 39.77/11.43 | Instantiating (366) with all_124_0_55, all_124_1_56 yields: % 39.77/11.43 | (390) tl(all_0_14_14) = all_124_0_55 & ssItem(all_0_11_11) = all_124_1_56 & ( ~ (all_124_1_56 = 0) | all_124_0_55 = all_0_8_8) % 39.77/11.43 | % 39.77/11.43 | Applying alpha-rule on (390) yields: % 39.77/11.43 | (391) tl(all_0_14_14) = all_124_0_55 % 39.77/11.43 | (392) ssItem(all_0_11_11) = all_124_1_56 % 39.77/11.43 | (393) ~ (all_124_1_56 = 0) | all_124_0_55 = all_0_8_8 % 39.77/11.43 | % 39.77/11.43 | Instantiating (359) with all_126_0_57, all_126_1_58 yields: % 39.77/11.43 | (394) hd(all_0_9_9) = all_126_0_57 & ssList(all_0_9_9) = all_126_1_58 & ( ~ (all_126_1_58 = 0) | ! [v0] : (v0 = all_0_9_9 | v0 = nil | all_0_9_9 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_126_0_57) | ~ (v1 = 0))))) % 39.77/11.43 | % 39.77/11.43 | Applying alpha-rule on (394) yields: % 39.77/11.43 | (395) hd(all_0_9_9) = all_126_0_57 % 39.77/11.43 | (396) ssList(all_0_9_9) = all_126_1_58 % 39.77/11.43 | (397) ~ (all_126_1_58 = 0) | ! [v0] : (v0 = all_0_9_9 | v0 = nil | all_0_9_9 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_126_0_57) | ~ (v1 = 0)))) % 39.77/11.43 | % 39.77/11.43 +-Applying beta-rule and splitting (362), into two cases. % 39.77/11.43 |-Branch one: % 39.77/11.43 | (398) all_0_9_9 = nil % 39.77/11.43 | % 39.77/11.43 | Equations (398) can reduce 348 to: % 39.77/11.43 | (161) $false % 39.77/11.43 | % 39.77/11.43 |-The branch is then unsatisfiable % 39.77/11.43 |-Branch two: % 39.77/11.43 | (348) ~ (all_0_9_9 = nil) % 39.77/11.43 | (401) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_9_9 & ssItem(v1) = 0) % 39.77/11.43 | % 39.77/11.43 | Instantiating (401) with all_132_0_59, all_132_1_60 yields: % 39.77/11.43 | (402) ssList(all_132_1_60) = 0 & cons(all_132_0_59, all_132_1_60) = all_0_9_9 & ssItem(all_132_0_59) = 0 % 39.77/11.43 | % 39.77/11.43 | Applying alpha-rule on (402) yields: % 39.77/11.43 | (403) ssList(all_132_1_60) = 0 % 39.77/11.43 | (404) cons(all_132_0_59, all_132_1_60) = all_0_9_9 % 39.77/11.43 | (405) ssItem(all_132_0_59) = 0 % 39.77/11.43 | % 39.77/11.43 +-Applying beta-rule and splitting (360), into two cases. % 39.77/11.43 |-Branch one: % 39.77/11.43 | (398) all_0_9_9 = nil % 39.77/11.43 | % 39.77/11.43 | Equations (398) can reduce 348 to: % 39.77/11.43 | (161) $false % 39.77/11.43 | % 39.77/11.43 |-The branch is then unsatisfiable % 39.77/11.43 |-Branch two: % 39.77/11.43 | (348) ~ (all_0_9_9 = nil) % 39.77/11.43 | (409) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (hd(all_0_14_14) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_11_11))) % 39.77/11.43 | % 39.77/11.43 | Instantiating (409) with all_137_0_61, all_137_1_62 yields: % 39.77/11.43 | (410) ( ~ (all_137_1_62 = 0) & ssList(all_0_9_9) = all_137_1_62) | (hd(all_0_14_14) = all_137_0_61 & ssList(all_0_8_8) = all_137_1_62 & ( ~ (all_137_1_62 = 0) | all_137_0_61 = all_0_11_11)) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (120) with all_0_9_9, all_126_0_57, all_0_11_11 and discharging atoms hd(all_0_9_9) = all_126_0_57, hd(all_0_9_9) = all_0_11_11, yields: % 39.77/11.43 | (411) all_126_0_57 = all_0_11_11 % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_107_1_44, all_114_1_46, 0 and discharging atoms ssList(all_107_1_44) = all_114_1_46, ssList(all_107_1_44) = 0, yields: % 39.77/11.43 | (412) all_114_1_46 = 0 % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_8_8, all_114_1_46, 0 and discharging atoms ssList(all_0_8_8) = 0, yields: % 39.77/11.43 | (413) all_114_1_46 = 0 | ~ (ssList(all_0_8_8) = all_114_1_46) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_9_9, all_114_1_46, 0 and discharging atoms ssList(all_0_9_9) = 0, yields: % 39.77/11.43 | (414) all_114_1_46 = 0 | ~ (ssList(all_0_9_9) = all_114_1_46) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_14_14, all_114_1_46, 0 and discharging atoms ssList(all_0_14_14) = 0, yields: % 39.77/11.43 | (415) all_114_1_46 = 0 | ~ (ssList(all_0_14_14) = all_114_1_46) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with nil, all_114_1_46, 0 and discharging atoms ssList(nil) = 0, yields: % 39.77/11.43 | (416) all_114_1_46 = 0 | ~ (ssList(nil) = all_114_1_46) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_8_8, all_120_1_52, 0 and discharging atoms ssList(all_0_8_8) = all_120_1_52, ssList(all_0_8_8) = 0, yields: % 39.77/11.43 | (417) all_120_1_52 = 0 % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_9_9, all_120_1_52, 0 and discharging atoms ssList(all_0_9_9) = 0, yields: % 39.77/11.43 | (418) all_120_1_52 = 0 | ~ (ssList(all_0_9_9) = all_120_1_52) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_13_13, all_120_1_52, 0 and discharging atoms ssList(all_0_13_13) = 0, yields: % 39.77/11.43 | (419) all_120_1_52 = 0 | ~ (ssList(all_0_13_13) = all_120_1_52) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_14_14, all_120_1_52, 0 and discharging atoms ssList(all_0_14_14) = 0, yields: % 39.77/11.43 | (420) all_120_1_52 = 0 | ~ (ssList(all_0_14_14) = all_120_1_52) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with nil, all_120_1_52, 0 and discharging atoms ssList(nil) = 0, yields: % 39.77/11.43 | (421) all_120_1_52 = 0 | ~ (ssList(nil) = all_120_1_52) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_8_8, all_120_1_52, all_114_1_46 and discharging atoms ssList(all_0_8_8) = all_120_1_52, yields: % 39.77/11.43 | (422) all_120_1_52 = all_114_1_46 | ~ (ssList(all_0_8_8) = all_114_1_46) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_9_9, all_126_1_58, 0 and discharging atoms ssList(all_0_9_9) = all_126_1_58, ssList(all_0_9_9) = 0, yields: % 39.77/11.43 | (423) all_126_1_58 = 0 % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_14_14, all_126_1_58, 0 and discharging atoms ssList(all_0_14_14) = 0, yields: % 39.77/11.43 | (424) all_126_1_58 = 0 | ~ (ssList(all_0_14_14) = all_126_1_58) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_9_9, all_126_1_58, all_114_1_46 and discharging atoms ssList(all_0_9_9) = all_126_1_58, yields: % 39.77/11.43 | (425) all_126_1_58 = all_114_1_46 | ~ (ssList(all_0_9_9) = all_114_1_46) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (142) with all_0_9_9, all_126_1_58, all_120_1_52 and discharging atoms ssList(all_0_9_9) = all_126_1_58, yields: % 39.77/11.43 | (426) all_126_1_58 = all_120_1_52 | ~ (ssList(all_0_9_9) = all_120_1_52) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (12) with all_107_0_43, all_122_1_54, 0 and discharging atoms ssItem(all_107_0_43) = all_122_1_54, ssItem(all_107_0_43) = 0, yields: % 39.77/11.43 | (427) all_122_1_54 = 0 % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (12) with all_0_0_0, all_122_1_54, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields: % 39.77/11.43 | (428) all_122_1_54 = 0 | ~ (ssItem(all_0_0_0) = all_122_1_54) % 39.77/11.43 | % 39.77/11.43 | Instantiating formula (12) with all_0_4_4, all_122_1_54, 0 and discharging atoms ssItem(all_0_4_4) = 0, yields: % 39.88/11.43 | (429) all_122_1_54 = 0 | ~ (ssItem(all_0_4_4) = all_122_1_54) % 39.88/11.43 | % 39.88/11.43 | Instantiating formula (12) with all_0_0_0, all_116_1_48, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields: % 39.88/11.43 | (430) all_116_1_48 = 0 | ~ (ssItem(all_0_0_0) = all_116_1_48) % 39.88/11.43 | % 39.88/11.43 | Instantiating formula (12) with all_0_4_4, all_116_1_48, 0 and discharging atoms ssItem(all_0_4_4) = 0, yields: % 39.88/11.43 | (431) all_116_1_48 = 0 | ~ (ssItem(all_0_4_4) = all_116_1_48) % 39.88/11.43 | % 39.88/11.43 | Instantiating formula (12) with all_0_11_11, all_116_1_48, 0 and discharging atoms ssItem(all_0_11_11) = 0, yields: % 39.88/11.43 | (432) all_116_1_48 = 0 | ~ (ssItem(all_0_11_11) = all_116_1_48) % 39.88/11.43 | % 39.88/11.43 | Instantiating formula (12) with all_107_0_43, all_116_1_48, all_122_1_54 and discharging atoms ssItem(all_107_0_43) = all_122_1_54, ssItem(all_107_0_43) = all_116_1_48, yields: % 39.88/11.44 | (433) all_122_1_54 = all_116_1_48 % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (12) with all_0_11_11, all_124_1_56, 0 and discharging atoms ssItem(all_0_11_11) = all_124_1_56, ssItem(all_0_11_11) = 0, yields: % 39.88/11.44 | (434) all_124_1_56 = 0 % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (12) with all_0_11_11, all_124_1_56, all_122_1_54 and discharging atoms ssItem(all_0_11_11) = all_124_1_56, yields: % 39.88/11.44 | (435) all_124_1_56 = all_122_1_54 | ~ (ssItem(all_0_11_11) = all_122_1_54) % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (12) with all_0_11_11, all_118_1_50, all_122_1_54 and discharging atoms ssItem(all_0_11_11) = all_118_1_50, yields: % 39.88/11.44 | (436) all_122_1_54 = all_118_1_50 | ~ (ssItem(all_0_11_11) = all_122_1_54) % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (12) with all_0_11_11, all_118_1_50, all_116_1_48 and discharging atoms ssItem(all_0_11_11) = all_118_1_50, yields: % 39.88/11.44 | (437) all_118_1_50 = all_116_1_48 | ~ (ssItem(all_0_11_11) = all_116_1_48) % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (12) with all_0_11_11, all_118_1_50, all_124_1_56 and discharging atoms ssItem(all_0_11_11) = all_124_1_56, ssItem(all_0_11_11) = all_118_1_50, yields: % 39.88/11.44 | (438) all_124_1_56 = all_118_1_50 % 39.88/11.44 | % 39.88/11.44 | Combining equations (434,438) yields a new equation: % 39.88/11.44 | (439) all_118_1_50 = 0 % 39.88/11.44 | % 39.88/11.44 | Combining equations (427,433) yields a new equation: % 39.88/11.44 | (440) all_116_1_48 = 0 % 39.88/11.44 | % 39.88/11.44 | Combining equations (440,433) yields a new equation: % 39.88/11.44 | (427) all_122_1_54 = 0 % 39.88/11.44 | % 39.88/11.44 | Combining equations (439,438) yields a new equation: % 39.88/11.44 | (434) all_124_1_56 = 0 % 39.88/11.44 | % 39.88/11.44 | From (411) and (395) follows: % 39.88/11.44 | (330) hd(all_0_9_9) = all_0_11_11 % 39.88/11.44 | % 39.88/11.44 | From (417) and (384) follows: % 39.88/11.44 | (196) ssList(all_0_8_8) = 0 % 39.88/11.44 | % 39.88/11.44 | From (423) and (396) follows: % 39.88/11.44 | (347) ssList(all_0_9_9) = 0 % 39.88/11.44 | % 39.88/11.44 | From (440) and (376) follows: % 39.88/11.44 | (358) ssItem(all_107_0_43) = 0 % 39.88/11.44 | % 39.88/11.44 | From (439) and (380) follows: % 39.88/11.44 | (200) ssItem(all_0_11_11) = 0 % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (361), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (448) ~ (app(all_0_9_9, all_0_8_8) = nil) % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (410), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (449) ~ (all_137_1_62 = 0) & ssList(all_0_9_9) = all_137_1_62 % 39.88/11.44 | % 39.88/11.44 | Applying alpha-rule on (449) yields: % 39.88/11.44 | (450) ~ (all_137_1_62 = 0) % 39.88/11.44 | (451) ssList(all_0_9_9) = all_137_1_62 % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (142) with all_0_9_9, all_137_1_62, 0 and discharging atoms ssList(all_0_9_9) = all_137_1_62, ssList(all_0_9_9) = 0, yields: % 39.88/11.44 | (452) all_137_1_62 = 0 % 39.88/11.44 | % 39.88/11.44 | Equations (452) can reduce 450 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (454) hd(all_0_14_14) = all_137_0_61 & ssList(all_0_8_8) = all_137_1_62 & ( ~ (all_137_1_62 = 0) | all_137_0_61 = all_0_11_11) % 39.88/11.44 | % 39.88/11.44 | Applying alpha-rule on (454) yields: % 39.88/11.44 | (455) hd(all_0_14_14) = all_137_0_61 % 39.88/11.44 | (456) ssList(all_0_8_8) = all_137_1_62 % 39.88/11.44 | (457) ~ (all_137_1_62 = 0) | all_137_0_61 = all_0_11_11 % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (381), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (458) ~ (all_118_1_50 = 0) % 39.88/11.44 | % 39.88/11.44 | Equations (439) can reduce 458 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (439) all_118_1_50 = 0 % 39.88/11.44 | (461) all_118_0_49 = all_0_11_11 % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (397), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (462) ~ (all_126_1_58 = 0) % 39.88/11.44 | % 39.88/11.44 | Equations (423) can reduce 462 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (423) all_126_1_58 = 0 % 39.88/11.44 | (465) ! [v0] : (v0 = all_0_9_9 | v0 = nil | all_0_9_9 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_126_0_57) | ~ (v1 = 0)))) % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (389), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (466) ~ (all_122_1_54 = 0) % 39.88/11.44 | % 39.88/11.44 | Equations (427) can reduce 466 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (427) all_122_1_54 = 0 % 39.88/11.44 | (469) all_122_0_53 = all_107_1_44 % 39.88/11.44 | % 39.88/11.44 | From (469) and (387) follows: % 39.88/11.44 | (470) tl(all_0_13_13) = all_107_1_44 % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (377), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (471) ~ (all_116_1_48 = 0) % 39.88/11.44 | % 39.88/11.44 | Equations (440) can reduce 471 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (440) all_116_1_48 = 0 % 39.88/11.44 | (474) all_116_0_47 = all_107_0_43 % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (368), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (475) ~ (cons(all_0_11_11, all_0_8_8) = nil) % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (393), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (476) ~ (all_124_1_56 = 0) % 39.88/11.44 | % 39.88/11.44 | Equations (434) can reduce 476 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (434) all_124_1_56 = 0 % 39.88/11.44 | (479) all_124_0_55 = all_0_8_8 % 39.88/11.44 | % 39.88/11.44 | From (479) and (391) follows: % 39.88/11.44 | (480) tl(all_0_14_14) = all_0_8_8 % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (142) with all_0_8_8, all_137_1_62, 0 and discharging atoms ssList(all_0_8_8) = all_137_1_62, ssList(all_0_8_8) = 0, yields: % 39.88/11.44 | (452) all_137_1_62 = 0 % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (142) with all_0_9_9, all_137_1_62, 0 and discharging atoms ssList(all_0_9_9) = 0, yields: % 39.88/11.44 | (482) all_137_1_62 = 0 | ~ (ssList(all_0_9_9) = all_137_1_62) % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (142) with all_0_14_14, all_137_1_62, 0 and discharging atoms ssList(all_0_14_14) = 0, yields: % 39.88/11.44 | (483) all_137_1_62 = 0 | ~ (ssList(all_0_14_14) = all_137_1_62) % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (142) with nil, all_137_1_62, 0 and discharging atoms ssList(nil) = 0, yields: % 39.88/11.44 | (484) all_137_1_62 = 0 | ~ (ssList(nil) = all_137_1_62) % 39.88/11.44 | % 39.88/11.44 | Using (340) and (475) yields: % 39.88/11.44 | (485) ~ (all_0_14_14 = nil) % 39.88/11.44 | % 39.88/11.44 | From (452) and (456) follows: % 39.88/11.44 | (196) ssList(all_0_8_8) = 0 % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (155), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (163) all_0_14_14 = nil % 39.88/11.44 | % 39.88/11.44 | Equations (163) can reduce 485 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (485) ~ (all_0_14_14 = nil) % 39.88/11.44 | (490) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_14_14 & ssItem(v1) = 0) % 39.88/11.44 | % 39.88/11.44 | Instantiating (490) with all_182_0_63, all_182_1_64 yields: % 39.88/11.44 | (491) ssList(all_182_1_64) = 0 & cons(all_182_0_63, all_182_1_64) = all_0_14_14 & ssItem(all_182_0_63) = 0 % 39.88/11.44 | % 39.88/11.44 | Applying alpha-rule on (491) yields: % 39.88/11.44 | (492) ssList(all_182_1_64) = 0 % 39.88/11.44 | (493) cons(all_182_0_63, all_182_1_64) = all_0_14_14 % 39.88/11.44 | (494) ssItem(all_182_0_63) = 0 % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (146), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (169) ~ (all_0_2_2 = 0) % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (62), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (171) all_0_2_2 = 0 % 39.88/11.44 | % 39.88/11.44 | Equations (171) can reduce 169 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (169) ~ (all_0_2_2 = 0) % 39.88/11.44 | (172) all_0_3_3 = 0 % 39.88/11.44 | % 39.88/11.44 | From (172) and (64) follows: % 39.88/11.44 | (500) memberP(all_0_13_13, all_0_4_4) = 0 % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (220), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (501) ~ (app(all_0_13_13, all_0_8_8) = all_0_14_14) % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (385), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (502) ~ (all_120_1_52 = 0) % 39.88/11.44 | % 39.88/11.44 | Equations (417) can reduce 502 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (417) all_120_1_52 = 0 % 39.88/11.44 | (505) ( ~ (all_0_2_2 = 0) | all_120_0_51 = 0 | all_0_4_4 = all_0_11_11) & (all_0_2_2 = 0 | ( ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11))) % 39.88/11.44 | % 39.88/11.44 | Applying alpha-rule on (505) yields: % 39.88/11.44 | (506) ~ (all_0_2_2 = 0) | all_120_0_51 = 0 | all_0_4_4 = all_0_11_11 % 39.88/11.44 | (507) all_0_2_2 = 0 | ( ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11)) % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (507), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (171) all_0_2_2 = 0 % 39.88/11.44 | % 39.88/11.44 | Equations (171) can reduce 169 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (169) ~ (all_0_2_2 = 0) % 39.88/11.44 | (511) ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11) % 39.88/11.44 | % 39.88/11.44 | Using (201) and (501) yields: % 39.88/11.44 | (512) ~ (all_0_9_9 = all_0_13_13) % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (219), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (513) ~ (app(nil, all_0_9_9) = all_0_13_13) % 39.88/11.44 | % 39.88/11.44 | Using (195) and (513) yields: % 39.88/11.44 | (514) ~ (all_0_8_8 = nil) % 39.88/11.44 | % 39.88/11.44 +-Applying beta-rule and splitting (203), into two cases. % 39.88/11.44 |-Branch one: % 39.88/11.44 | (515) all_0_8_8 = nil % 39.88/11.44 | % 39.88/11.44 | Equations (515) can reduce 514 to: % 39.88/11.44 | (161) $false % 39.88/11.44 | % 39.88/11.44 |-The branch is then unsatisfiable % 39.88/11.44 |-Branch two: % 39.88/11.44 | (514) ~ (all_0_8_8 = nil) % 39.88/11.44 | (518) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_8_8 & ssItem(v1) = 0) % 39.88/11.44 | % 39.88/11.44 | Instantiating (518) with all_230_0_65, all_230_1_66 yields: % 39.88/11.44 | (519) ssList(all_230_1_66) = 0 & cons(all_230_0_65, all_230_1_66) = all_0_8_8 & ssItem(all_230_0_65) = 0 % 39.88/11.44 | % 39.88/11.44 | Applying alpha-rule on (519) yields: % 39.88/11.44 | (520) ssList(all_230_1_66) = 0 % 39.88/11.44 | (521) cons(all_230_0_65, all_230_1_66) = all_0_8_8 % 39.88/11.44 | (522) ssItem(all_230_0_65) = 0 % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (104) with all_107_1_44, all_0_13_13 and discharging atoms tl(all_0_13_13) = all_107_1_44, yields: % 39.88/11.44 | (523) ? [v0] : ? [v1] : (hd(all_0_13_13) = v1 & ssList(all_0_13_13) = v0 & ( ~ (v0 = 0) | ! [v2] : (v2 = all_0_13_13 | v2 = nil | all_0_13_13 = nil | ~ (tl(v2) = all_107_1_44) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssList(v2) = v3 & ( ~ (v4 = v1) | ~ (v3 = 0)))))) % 39.88/11.44 | % 39.88/11.44 | Instantiating formula (145) with all_0_13_13, all_0_9_9, all_0_8_8, all_0_14_14 and discharging atoms tl(all_0_14_14) = all_0_8_8, app(all_0_8_8, all_0_9_9) = all_0_13_13, yields: % 39.88/11.44 | (524) all_0_14_14 = nil | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | (tl(v1) = v2 & ssList(all_0_9_9) = v0 & app(all_0_14_14, all_0_9_9) = v1 & ( ~ (v0 = 0) | v2 = all_0_13_13))) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (104) with all_0_8_8, all_0_14_14 and discharging atoms tl(all_0_14_14) = all_0_8_8, yields: % 39.88/11.45 | (525) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssList(all_0_14_14) = v0 & ( ~ (v0 = 0) | ! [v2] : (v2 = all_0_14_14 | v2 = nil | all_0_14_14 = nil | ~ (tl(v2) = all_0_8_8) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssList(v2) = v3 & ( ~ (v4 = v1) | ~ (v3 = 0)))))) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (130) with all_0_2_2, all_0_14_14, all_0_8_8, all_114_0_45, all_0_9_9, all_0_4_4 and discharging atoms memberP(all_0_14_14, all_0_4_4) = all_0_2_2, app(all_0_9_9, all_0_8_8) = all_0_14_14, ssItem(all_0_4_4) = 0, yields: % 39.88/11.45 | (526) ~ (memberP(all_0_9_9, all_0_4_4) = all_114_0_45) | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (memberP(all_0_8_8, all_0_4_4) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_114_0_45 = 0) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_114_0_45 = 0))))))) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (35) with all_114_0_45, all_0_9_9, nil, all_0_11_11, all_0_4_4 and discharging atoms cons(all_0_11_11, nil) = all_0_9_9, ssItem(all_0_4_4) = 0, ssItem(all_0_11_11) = 0, yields: % 39.88/11.45 | (527) ~ (memberP(all_0_9_9, all_0_4_4) = all_114_0_45) | ? [v0] : ? [v1] : (memberP(nil, all_0_4_4) = v1 & ssList(nil) = v0 & ( ~ (v0 = 0) | (( ~ (all_114_0_45 = 0) | v1 = 0 | all_0_4_4 = all_0_11_11) & (all_114_0_45 = 0 | ( ~ (v1 = 0) & ~ (all_0_4_4 = all_0_11_11)))))) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (130) with 0, all_0_13_13, all_0_9_9, all_120_0_51, all_0_8_8, all_0_4_4 and discharging atoms memberP(all_0_8_8, all_0_4_4) = all_120_0_51, memberP(all_0_13_13, all_0_4_4) = 0, app(all_0_8_8, all_0_9_9) = all_0_13_13, ssItem(all_0_4_4) = 0, yields: % 39.88/11.45 | (528) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_8_8) = v0) | (memberP(all_0_9_9, all_0_4_4) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_120_0_51 = 0))) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (132) with all_0_8_8, all_230_0_65, all_230_1_66 and discharging atoms ssList(all_230_1_66) = 0, cons(all_230_0_65, all_230_1_66) = all_0_8_8, yields: % 39.88/11.45 | (529) ? [v0] : ? [v1] : (tl(all_0_8_8) = v1 & ssItem(all_230_0_65) = v0 & ( ~ (v0 = 0) | v1 = all_230_1_66)) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (80) with all_0_8_8, all_230_0_65, all_230_1_66 and discharging atoms ssList(all_230_1_66) = 0, cons(all_230_0_65, all_230_1_66) = all_0_8_8, yields: % 39.88/11.45 | (530) ? [v0] : ? [v1] : (hd(all_0_8_8) = v1 & ssItem(all_230_0_65) = v0 & ( ~ (v0 = 0) | v1 = all_230_0_65)) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (128) with all_0_11_11, all_0_14_14, all_182_0_63, all_0_8_8, all_182_1_64 and discharging atoms ssList(all_182_1_64) = 0, ssList(all_0_8_8) = 0, cons(all_182_0_63, all_182_1_64) = all_0_14_14, cons(all_0_11_11, all_0_8_8) = all_0_14_14, yields: % 39.88/11.45 | (531) all_182_1_64 = all_0_8_8 | ? [v0] : (( ~ (v0 = 0) & ssItem(all_182_0_63) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (132) with all_0_14_14, all_182_0_63, all_182_1_64 and discharging atoms ssList(all_182_1_64) = 0, cons(all_182_0_63, all_182_1_64) = all_0_14_14, yields: % 39.88/11.45 | (532) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_182_0_63) = v0 & ( ~ (v0 = 0) | v1 = all_182_1_64)) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (128) with all_0_11_11, all_0_9_9, all_132_0_59, nil, all_132_1_60 and discharging atoms ssList(all_132_1_60) = 0, ssList(nil) = 0, cons(all_132_0_59, all_132_1_60) = all_0_9_9, cons(all_0_11_11, nil) = all_0_9_9, yields: % 39.88/11.45 | (533) all_132_1_60 = nil | ? [v0] : (( ~ (v0 = 0) & ssItem(all_132_0_59) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (132) with all_0_9_9, all_132_0_59, all_132_1_60 and discharging atoms ssList(all_132_1_60) = 0, cons(all_132_0_59, all_132_1_60) = all_0_9_9, yields: % 39.88/11.45 | (534) ? [v0] : ? [v1] : (tl(all_0_9_9) = v1 & ssItem(all_132_0_59) = v0 & ( ~ (v0 = 0) | v1 = all_132_1_60)) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (80) with all_0_9_9, all_132_0_59, all_132_1_60 and discharging atoms ssList(all_132_1_60) = 0, cons(all_132_0_59, all_132_1_60) = all_0_9_9, yields: % 39.88/11.45 | (535) ? [v0] : ? [v1] : (hd(all_0_9_9) = v1 & ssItem(all_132_0_59) = v0 & ( ~ (v0 = 0) | v1 = all_132_0_59)) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (117) with all_0_14_14, all_0_9_9, all_132_0_59, all_0_8_8 and discharging atoms ssList(all_0_8_8) = 0, app(all_0_9_9, all_0_8_8) = all_0_14_14, yields: % 39.88/11.45 | (536) ~ (cons(all_132_0_59, nil) = all_0_9_9) | ? [v0] : ? [v1] : (cons(all_132_0_59, all_0_8_8) = v1 & ssItem(all_132_0_59) = v0 & ( ~ (v0 = 0) | v1 = all_0_14_14)) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (35) with all_0_2_2, all_0_14_14, all_182_1_64, all_182_0_63, all_0_4_4 and discharging atoms memberP(all_0_14_14, all_0_4_4) = all_0_2_2, cons(all_182_0_63, all_182_1_64) = all_0_14_14, ssItem(all_182_0_63) = 0, ssItem(all_0_4_4) = 0, yields: % 39.88/11.45 | (537) ? [v0] : ? [v1] : (memberP(all_182_1_64, all_0_4_4) = v1 & ssList(all_182_1_64) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_182_0_63 = all_0_4_4) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_182_0_63 = all_0_4_4)))))) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (35) with all_120_0_51, all_0_8_8, all_230_1_66, all_230_0_65, all_0_4_4 and discharging atoms memberP(all_0_8_8, all_0_4_4) = all_120_0_51, cons(all_230_0_65, all_230_1_66) = all_0_8_8, ssItem(all_230_0_65) = 0, ssItem(all_0_4_4) = 0, yields: % 39.88/11.45 | (538) ? [v0] : ? [v1] : (memberP(all_230_1_66, all_0_4_4) = v1 & ssList(all_230_1_66) = v0 & ( ~ (v0 = 0) | (( ~ (all_120_0_51 = 0) | v1 = 0 | all_230_0_65 = all_0_4_4) & (all_120_0_51 = 0 | ( ~ (v1 = 0) & ~ (all_230_0_65 = all_0_4_4)))))) % 39.88/11.45 | % 39.88/11.45 | Instantiating formula (35) with all_114_0_45, all_0_9_9, all_132_1_60, all_132_0_59, all_0_4_4 and discharging atoms cons(all_132_0_59, all_132_1_60) = all_0_9_9, ssItem(all_132_0_59) = 0, ssItem(all_0_4_4) = 0, yields: % 39.88/11.45 | (539) ~ (memberP(all_0_9_9, all_0_4_4) = all_114_0_45) | ? [v0] : ? [v1] : (memberP(all_132_1_60, all_0_4_4) = v1 & ssList(all_132_1_60) = v0 & ( ~ (v0 = 0) | (( ~ (all_114_0_45 = 0) | v1 = 0 | all_132_0_59 = all_0_4_4) & (all_114_0_45 = 0 | ( ~ (v1 = 0) & ~ (all_132_0_59 = all_0_4_4)))))) % 39.88/11.45 | % 39.88/11.45 | Instantiating (538) with all_301_0_67, all_301_1_68 yields: % 39.88/11.45 | (540) memberP(all_230_1_66, all_0_4_4) = all_301_0_67 & ssList(all_230_1_66) = all_301_1_68 & ( ~ (all_301_1_68 = 0) | (( ~ (all_120_0_51 = 0) | all_301_0_67 = 0 | all_230_0_65 = all_0_4_4) & (all_120_0_51 = 0 | ( ~ (all_301_0_67 = 0) & ~ (all_230_0_65 = all_0_4_4))))) % 39.88/11.45 | % 39.88/11.45 | Applying alpha-rule on (540) yields: % 39.88/11.45 | (541) memberP(all_230_1_66, all_0_4_4) = all_301_0_67 % 39.88/11.45 | (542) ssList(all_230_1_66) = all_301_1_68 % 39.88/11.45 | (543) ~ (all_301_1_68 = 0) | (( ~ (all_120_0_51 = 0) | all_301_0_67 = 0 | all_230_0_65 = all_0_4_4) & (all_120_0_51 = 0 | ( ~ (all_301_0_67 = 0) & ~ (all_230_0_65 = all_0_4_4)))) % 39.88/11.45 | % 39.88/11.45 | Instantiating (535) with all_303_0_69, all_303_1_70 yields: % 39.88/11.45 | (544) hd(all_0_9_9) = all_303_0_69 & ssItem(all_132_0_59) = all_303_1_70 & ( ~ (all_303_1_70 = 0) | all_303_0_69 = all_132_0_59) % 39.88/11.45 | % 39.88/11.45 | Applying alpha-rule on (544) yields: % 39.88/11.45 | (545) hd(all_0_9_9) = all_303_0_69 % 39.88/11.45 | (546) ssItem(all_132_0_59) = all_303_1_70 % 39.88/11.45 | (547) ~ (all_303_1_70 = 0) | all_303_0_69 = all_132_0_59 % 39.88/11.45 | % 39.88/11.45 | Instantiating (534) with all_305_0_71, all_305_1_72 yields: % 39.88/11.45 | (548) tl(all_0_9_9) = all_305_0_71 & ssItem(all_132_0_59) = all_305_1_72 & ( ~ (all_305_1_72 = 0) | all_305_0_71 = all_132_1_60) % 39.88/11.45 | % 39.88/11.45 | Applying alpha-rule on (548) yields: % 39.88/11.45 | (549) tl(all_0_9_9) = all_305_0_71 % 39.88/11.45 | (550) ssItem(all_132_0_59) = all_305_1_72 % 39.88/11.45 | (551) ~ (all_305_1_72 = 0) | all_305_0_71 = all_132_1_60 % 39.88/11.45 | % 39.88/11.45 | Instantiating (530) with all_307_0_73, all_307_1_74 yields: % 39.88/11.45 | (552) hd(all_0_8_8) = all_307_0_73 & ssItem(all_230_0_65) = all_307_1_74 & ( ~ (all_307_1_74 = 0) | all_307_0_73 = all_230_0_65) % 39.88/11.45 | % 39.88/11.45 | Applying alpha-rule on (552) yields: % 39.88/11.45 | (553) hd(all_0_8_8) = all_307_0_73 % 39.88/11.45 | (554) ssItem(all_230_0_65) = all_307_1_74 % 39.88/11.45 | (555) ~ (all_307_1_74 = 0) | all_307_0_73 = all_230_0_65 % 39.88/11.45 | % 39.88/11.45 | Instantiating (529) with all_309_0_75, all_309_1_76 yields: % 39.88/11.45 | (556) tl(all_0_8_8) = all_309_0_75 & ssItem(all_230_0_65) = all_309_1_76 & ( ~ (all_309_1_76 = 0) | all_309_0_75 = all_230_1_66) % 39.88/11.45 | % 39.88/11.45 | Applying alpha-rule on (556) yields: % 39.88/11.45 | (557) tl(all_0_8_8) = all_309_0_75 % 39.88/11.45 | (558) ssItem(all_230_0_65) = all_309_1_76 % 39.88/11.45 | (559) ~ (all_309_1_76 = 0) | all_309_0_75 = all_230_1_66 % 39.88/11.45 | % 39.88/11.45 | Instantiating (537) with all_311_0_77, all_311_1_78 yields: % 39.88/11.45 | (560) memberP(all_182_1_64, all_0_4_4) = all_311_0_77 & ssList(all_182_1_64) = all_311_1_78 & ( ~ (all_311_1_78 = 0) | (( ~ (all_0_2_2 = 0) | all_311_0_77 = 0 | all_182_0_63 = all_0_4_4) & (all_0_2_2 = 0 | ( ~ (all_311_0_77 = 0) & ~ (all_182_0_63 = all_0_4_4))))) % 39.88/11.45 | % 39.88/11.45 | Applying alpha-rule on (560) yields: % 39.88/11.45 | (561) memberP(all_182_1_64, all_0_4_4) = all_311_0_77 % 39.88/11.45 | (562) ssList(all_182_1_64) = all_311_1_78 % 39.88/11.45 | (563) ~ (all_311_1_78 = 0) | (( ~ (all_0_2_2 = 0) | all_311_0_77 = 0 | all_182_0_63 = all_0_4_4) & (all_0_2_2 = 0 | ( ~ (all_311_0_77 = 0) & ~ (all_182_0_63 = all_0_4_4)))) % 39.88/11.45 | % 39.88/11.45 | Instantiating (532) with all_315_0_81, all_315_1_82 yields: % 39.88/11.45 | (564) tl(all_0_14_14) = all_315_0_81 & ssItem(all_182_0_63) = all_315_1_82 & ( ~ (all_315_1_82 = 0) | all_315_0_81 = all_182_1_64) % 39.88/11.45 | % 39.88/11.45 | Applying alpha-rule on (564) yields: % 39.88/11.45 | (565) tl(all_0_14_14) = all_315_0_81 % 39.88/11.45 | (566) ssItem(all_182_0_63) = all_315_1_82 % 39.88/11.45 | (567) ~ (all_315_1_82 = 0) | all_315_0_81 = all_182_1_64 % 39.88/11.45 | % 39.88/11.45 | Instantiating (528) with all_318_0_89, all_318_1_90 yields: % 39.88/11.45 | (568) ( ~ (all_318_1_90 = 0) & ssList(all_0_8_8) = all_318_1_90) | (memberP(all_0_9_9, all_0_4_4) = all_318_0_89 & ssList(all_0_9_9) = all_318_1_90 & ( ~ (all_318_1_90 = 0) | all_318_0_89 = 0 | all_120_0_51 = 0)) % 39.88/11.45 | % 39.88/11.45 | Instantiating (525) with all_319_0_91, all_319_1_92 yields: % 39.88/11.45 | (569) hd(all_0_14_14) = all_319_0_91 & ssList(all_0_14_14) = all_319_1_92 & ( ~ (all_319_1_92 = 0) | ! [v0] : (v0 = all_0_14_14 | v0 = nil | all_0_14_14 = nil | ~ (tl(v0) = all_0_8_8) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_319_0_91) | ~ (v1 = 0))))) % 39.88/11.45 | % 39.88/11.45 | Applying alpha-rule on (569) yields: % 39.88/11.45 | (570) hd(all_0_14_14) = all_319_0_91 % 39.88/11.45 | (571) ssList(all_0_14_14) = all_319_1_92 % 39.88/11.45 | (572) ~ (all_319_1_92 = 0) | ! [v0] : (v0 = all_0_14_14 | v0 = nil | all_0_14_14 = nil | ~ (tl(v0) = all_0_8_8) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_319_0_91) | ~ (v1 = 0)))) % 39.88/11.45 | % 39.88/11.45 | Instantiating (523) with all_321_0_93, all_321_1_94 yields: % 39.88/11.46 | (573) hd(all_0_13_13) = all_321_0_93 & ssList(all_0_13_13) = all_321_1_94 & ( ~ (all_321_1_94 = 0) | ! [v0] : (v0 = all_0_13_13 | v0 = nil | all_0_13_13 = nil | ~ (tl(v0) = all_107_1_44) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_321_0_93) | ~ (v1 = 0))))) % 39.88/11.46 | % 39.88/11.46 | Applying alpha-rule on (573) yields: % 39.88/11.46 | (574) hd(all_0_13_13) = all_321_0_93 % 39.88/11.46 | (575) ssList(all_0_13_13) = all_321_1_94 % 39.88/11.46 | (576) ~ (all_321_1_94 = 0) | ! [v0] : (v0 = all_0_13_13 | v0 = nil | all_0_13_13 = nil | ~ (tl(v0) = all_107_1_44) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_321_0_93) | ~ (v1 = 0)))) % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (568), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (577) ~ (all_318_1_90 = 0) & ssList(all_0_8_8) = all_318_1_90 % 39.88/11.46 | % 39.88/11.46 | Applying alpha-rule on (577) yields: % 39.88/11.46 | (578) ~ (all_318_1_90 = 0) % 39.88/11.46 | (579) ssList(all_0_8_8) = all_318_1_90 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (142) with all_0_8_8, all_318_1_90, 0 and discharging atoms ssList(all_0_8_8) = all_318_1_90, ssList(all_0_8_8) = 0, yields: % 39.88/11.46 | (580) all_318_1_90 = 0 % 39.88/11.46 | % 39.88/11.46 | Equations (580) can reduce 578 to: % 39.88/11.46 | (161) $false % 39.88/11.46 | % 39.88/11.46 |-The branch is then unsatisfiable % 39.88/11.46 |-Branch two: % 39.88/11.46 | (582) memberP(all_0_9_9, all_0_4_4) = all_318_0_89 & ssList(all_0_9_9) = all_318_1_90 & ( ~ (all_318_1_90 = 0) | all_318_0_89 = 0 | all_120_0_51 = 0) % 39.88/11.46 | % 39.88/11.46 | Applying alpha-rule on (582) yields: % 39.88/11.46 | (583) memberP(all_0_9_9, all_0_4_4) = all_318_0_89 % 39.88/11.46 | (584) ssList(all_0_9_9) = all_318_1_90 % 39.88/11.46 | (585) ~ (all_318_1_90 = 0) | all_318_0_89 = 0 | all_120_0_51 = 0 % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (524), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (163) all_0_14_14 = nil % 39.88/11.46 | % 39.88/11.46 | Equations (163) can reduce 485 to: % 39.88/11.46 | (161) $false % 39.88/11.46 | % 39.88/11.46 |-The branch is then unsatisfiable % 39.88/11.46 |-Branch two: % 39.88/11.46 | (485) ~ (all_0_14_14 = nil) % 39.88/11.46 | (589) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | (tl(v1) = v2 & ssList(all_0_9_9) = v0 & app(all_0_14_14, all_0_9_9) = v1 & ( ~ (v0 = 0) | v2 = all_0_13_13))) % 39.88/11.46 | % 39.88/11.46 | Instantiating (589) with all_334_0_98, all_334_1_99, all_334_2_100 yields: % 39.88/11.46 | (590) ( ~ (all_334_2_100 = 0) & ssList(all_0_14_14) = all_334_2_100) | (tl(all_334_1_99) = all_334_0_98 & ssList(all_0_9_9) = all_334_2_100 & app(all_0_14_14, all_0_9_9) = all_334_1_99 & ( ~ (all_334_2_100 = 0) | all_334_0_98 = all_0_13_13)) % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (97) with all_0_9_9, all_305_0_71, nil and discharging atoms tl(all_0_9_9) = all_305_0_71, tl(all_0_9_9) = nil, yields: % 39.88/11.46 | (591) all_305_0_71 = nil % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (97) with all_0_14_14, all_315_0_81, all_0_8_8 and discharging atoms tl(all_0_14_14) = all_315_0_81, tl(all_0_14_14) = all_0_8_8, yields: % 39.88/11.46 | (592) all_315_0_81 = all_0_8_8 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (120) with all_0_9_9, all_303_0_69, all_0_11_11 and discharging atoms hd(all_0_9_9) = all_303_0_69, hd(all_0_9_9) = all_0_11_11, yields: % 39.88/11.46 | (593) all_303_0_69 = all_0_11_11 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (38) with all_0_8_8, all_0_4_4, all_311_0_77, all_120_0_51 and discharging atoms memberP(all_0_8_8, all_0_4_4) = all_120_0_51, yields: % 39.88/11.46 | (594) all_311_0_77 = all_120_0_51 | ~ (memberP(all_0_8_8, all_0_4_4) = all_311_0_77) % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (38) with all_0_9_9, all_0_4_4, all_318_0_89, all_114_0_45 and discharging atoms memberP(all_0_9_9, all_0_4_4) = all_318_0_89, yields: % 39.88/11.46 | (595) all_318_0_89 = all_114_0_45 | ~ (memberP(all_0_9_9, all_0_4_4) = all_114_0_45) % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (142) with all_230_1_66, all_301_1_68, 0 and discharging atoms ssList(all_230_1_66) = all_301_1_68, ssList(all_230_1_66) = 0, yields: % 39.88/11.46 | (596) all_301_1_68 = 0 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (142) with all_182_1_64, all_311_1_78, 0 and discharging atoms ssList(all_182_1_64) = all_311_1_78, ssList(all_182_1_64) = 0, yields: % 39.88/11.46 | (597) all_311_1_78 = 0 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (142) with all_0_9_9, all_318_1_90, 0 and discharging atoms ssList(all_0_9_9) = all_318_1_90, ssList(all_0_9_9) = 0, yields: % 39.88/11.46 | (580) all_318_1_90 = 0 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (142) with all_0_13_13, all_321_1_94, 0 and discharging atoms ssList(all_0_13_13) = all_321_1_94, ssList(all_0_13_13) = 0, yields: % 39.88/11.46 | (599) all_321_1_94 = 0 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (142) with all_0_14_14, all_319_1_92, 0 and discharging atoms ssList(all_0_14_14) = all_319_1_92, ssList(all_0_14_14) = 0, yields: % 39.88/11.46 | (600) all_319_1_92 = 0 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (12) with all_230_0_65, all_309_1_76, 0 and discharging atoms ssItem(all_230_0_65) = all_309_1_76, ssItem(all_230_0_65) = 0, yields: % 39.88/11.46 | (601) all_309_1_76 = 0 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (12) with all_230_0_65, all_307_1_74, all_309_1_76 and discharging atoms ssItem(all_230_0_65) = all_309_1_76, ssItem(all_230_0_65) = all_307_1_74, yields: % 39.88/11.46 | (602) all_309_1_76 = all_307_1_74 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (12) with all_182_0_63, all_315_1_82, 0 and discharging atoms ssItem(all_182_0_63) = all_315_1_82, ssItem(all_182_0_63) = 0, yields: % 39.88/11.46 | (603) all_315_1_82 = 0 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (12) with all_132_0_59, all_305_1_72, 0 and discharging atoms ssItem(all_132_0_59) = all_305_1_72, ssItem(all_132_0_59) = 0, yields: % 39.88/11.46 | (604) all_305_1_72 = 0 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (12) with all_132_0_59, all_303_1_70, all_305_1_72 and discharging atoms ssItem(all_132_0_59) = all_305_1_72, ssItem(all_132_0_59) = all_303_1_70, yields: % 39.88/11.46 | (605) all_305_1_72 = all_303_1_70 % 39.88/11.46 | % 39.88/11.46 | Combining equations (601,602) yields a new equation: % 39.88/11.46 | (606) all_307_1_74 = 0 % 39.88/11.46 | % 39.88/11.46 | Combining equations (604,605) yields a new equation: % 39.88/11.46 | (607) all_303_1_70 = 0 % 39.88/11.46 | % 39.88/11.46 | Combining equations (607,605) yields a new equation: % 39.88/11.46 | (604) all_305_1_72 = 0 % 39.88/11.46 | % 39.88/11.46 | Combining equations (606,602) yields a new equation: % 39.88/11.46 | (601) all_309_1_76 = 0 % 39.88/11.46 | % 39.88/11.46 | From (597) and (562) follows: % 39.88/11.46 | (492) ssList(all_182_1_64) = 0 % 39.88/11.46 | % 39.88/11.46 | From (580) and (584) follows: % 39.88/11.46 | (347) ssList(all_0_9_9) = 0 % 39.88/11.46 | % 39.88/11.46 | From (599) and (575) follows: % 39.88/11.46 | (87) ssList(all_0_13_13) = 0 % 39.88/11.46 | % 39.88/11.46 | From (600) and (571) follows: % 39.88/11.46 | (85) ssList(all_0_14_14) = 0 % 39.88/11.46 | % 39.88/11.46 | From (607) and (546) follows: % 39.88/11.46 | (405) ssItem(all_132_0_59) = 0 % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (531), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (615) all_182_1_64 = all_0_8_8 % 39.88/11.46 | % 39.88/11.46 | From (615) and (561) follows: % 39.88/11.46 | (616) memberP(all_0_8_8, all_0_4_4) = all_311_0_77 % 39.88/11.46 | % 39.88/11.46 | From (615) and (492) follows: % 39.88/11.46 | (196) ssList(all_0_8_8) = 0 % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (594), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (618) ~ (memberP(all_0_8_8, all_0_4_4) = all_311_0_77) % 39.88/11.46 | % 39.88/11.46 | Using (616) and (618) yields: % 39.88/11.46 | (166) $false % 39.88/11.46 | % 39.88/11.46 |-The branch is then unsatisfiable % 39.88/11.46 |-Branch two: % 39.88/11.46 | (616) memberP(all_0_8_8, all_0_4_4) = all_311_0_77 % 39.88/11.46 | (621) all_311_0_77 = all_120_0_51 % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (563), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (622) ~ (all_311_1_78 = 0) % 39.88/11.46 | % 39.88/11.46 | Equations (597) can reduce 622 to: % 39.88/11.46 | (161) $false % 39.88/11.46 | % 39.88/11.46 |-The branch is then unsatisfiable % 39.88/11.46 |-Branch two: % 39.88/11.46 | (597) all_311_1_78 = 0 % 39.88/11.46 | (625) ( ~ (all_0_2_2 = 0) | all_311_0_77 = 0 | all_182_0_63 = all_0_4_4) & (all_0_2_2 = 0 | ( ~ (all_311_0_77 = 0) & ~ (all_182_0_63 = all_0_4_4))) % 39.88/11.46 | % 39.88/11.46 | Applying alpha-rule on (625) yields: % 39.88/11.46 | (626) ~ (all_0_2_2 = 0) | all_311_0_77 = 0 | all_182_0_63 = all_0_4_4 % 39.88/11.46 | (627) all_0_2_2 = 0 | ( ~ (all_311_0_77 = 0) & ~ (all_182_0_63 = all_0_4_4)) % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (590), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (628) ~ (all_334_2_100 = 0) & ssList(all_0_14_14) = all_334_2_100 % 39.88/11.46 | % 39.88/11.46 | Applying alpha-rule on (628) yields: % 39.88/11.46 | (629) ~ (all_334_2_100 = 0) % 39.88/11.46 | (630) ssList(all_0_14_14) = all_334_2_100 % 39.88/11.46 | % 39.88/11.46 | Instantiating formula (142) with all_0_14_14, all_334_2_100, 0 and discharging atoms ssList(all_0_14_14) = all_334_2_100, ssList(all_0_14_14) = 0, yields: % 39.88/11.46 | (631) all_334_2_100 = 0 % 39.88/11.46 | % 39.88/11.46 | Equations (631) can reduce 629 to: % 39.88/11.46 | (161) $false % 39.88/11.46 | % 39.88/11.46 |-The branch is then unsatisfiable % 39.88/11.46 |-Branch two: % 39.88/11.46 | (633) tl(all_334_1_99) = all_334_0_98 & ssList(all_0_9_9) = all_334_2_100 & app(all_0_14_14, all_0_9_9) = all_334_1_99 & ( ~ (all_334_2_100 = 0) | all_334_0_98 = all_0_13_13) % 39.88/11.46 | % 39.88/11.46 | Applying alpha-rule on (633) yields: % 39.88/11.46 | (634) tl(all_334_1_99) = all_334_0_98 % 39.88/11.46 | (635) ssList(all_0_9_9) = all_334_2_100 % 39.88/11.46 | (636) app(all_0_14_14, all_0_9_9) = all_334_1_99 % 39.88/11.46 | (637) ~ (all_334_2_100 = 0) | all_334_0_98 = all_0_13_13 % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (533), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (638) all_132_1_60 = nil % 39.88/11.46 | % 39.88/11.46 | From (638) and (403) follows: % 39.88/11.46 | (126) ssList(nil) = 0 % 39.88/11.46 | % 39.88/11.46 | From (638) and (404) follows: % 39.88/11.46 | (640) cons(all_132_0_59, nil) = all_0_9_9 % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (627), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (171) all_0_2_2 = 0 % 39.88/11.46 | % 39.88/11.46 | Equations (171) can reduce 169 to: % 39.88/11.46 | (161) $false % 39.88/11.46 | % 39.88/11.46 |-The branch is then unsatisfiable % 39.88/11.46 |-Branch two: % 39.88/11.46 | (169) ~ (all_0_2_2 = 0) % 39.88/11.46 | (644) ~ (all_311_0_77 = 0) & ~ (all_182_0_63 = all_0_4_4) % 39.88/11.46 | % 39.88/11.46 | Applying alpha-rule on (644) yields: % 39.88/11.46 | (645) ~ (all_311_0_77 = 0) % 39.88/11.46 | (646) ~ (all_182_0_63 = all_0_4_4) % 39.88/11.46 | % 39.88/11.46 | Equations (621) can reduce 645 to: % 39.88/11.46 | (647) ~ (all_120_0_51 = 0) % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (536), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (648) ~ (cons(all_132_0_59, nil) = all_0_9_9) % 39.88/11.46 | % 39.88/11.46 | Using (640) and (648) yields: % 39.88/11.46 | (166) $false % 39.88/11.46 | % 39.88/11.46 |-The branch is then unsatisfiable % 39.88/11.46 |-Branch two: % 39.88/11.46 | (640) cons(all_132_0_59, nil) = all_0_9_9 % 39.88/11.46 | (651) ? [v0] : ? [v1] : (cons(all_132_0_59, all_0_8_8) = v1 & ssItem(all_132_0_59) = v0 & ( ~ (v0 = 0) | v1 = all_0_14_14)) % 39.88/11.46 | % 39.88/11.46 | Instantiating (651) with all_407_0_103, all_407_1_104 yields: % 39.88/11.46 | (652) cons(all_132_0_59, all_0_8_8) = all_407_0_103 & ssItem(all_132_0_59) = all_407_1_104 & ( ~ (all_407_1_104 = 0) | all_407_0_103 = all_0_14_14) % 39.88/11.46 | % 39.88/11.46 | Applying alpha-rule on (652) yields: % 39.88/11.46 | (653) cons(all_132_0_59, all_0_8_8) = all_407_0_103 % 39.88/11.46 | (654) ssItem(all_132_0_59) = all_407_1_104 % 39.88/11.46 | (655) ~ (all_407_1_104 = 0) | all_407_0_103 = all_0_14_14 % 39.88/11.46 | % 39.88/11.46 +-Applying beta-rule and splitting (547), into two cases. % 39.88/11.46 |-Branch one: % 39.88/11.46 | (656) ~ (all_303_1_70 = 0) % 39.88/11.46 | % 39.88/11.46 | Equations (607) can reduce 656 to: % 39.88/11.46 | (161) $false % 39.88/11.46 | % 39.88/11.46 |-The branch is then unsatisfiable % 39.88/11.46 |-Branch two: % 39.88/11.46 | (607) all_303_1_70 = 0 % 39.88/11.46 | (659) all_303_0_69 = all_132_0_59 % 39.88/11.46 | % 39.88/11.46 | Combining equations (659,593) yields a new equation: % 39.88/11.46 | (660) all_132_0_59 = all_0_11_11 % 39.88/11.46 | % 39.88/11.46 | Simplifying 660 yields: % 39.88/11.46 | (661) all_132_0_59 = all_0_11_11 % 39.88/11.47 | % 39.88/11.47 | From (661) and (654) follows: % 39.88/11.47 | (662) ssItem(all_0_11_11) = all_407_1_104 % 39.88/11.47 | % 39.88/11.47 | From (661) and (405) follows: % 39.88/11.47 | (200) ssItem(all_0_11_11) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (543), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (664) ~ (all_301_1_68 = 0) % 39.88/11.47 | % 39.88/11.47 | Equations (596) can reduce 664 to: % 39.88/11.47 | (161) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (596) all_301_1_68 = 0 % 39.88/11.47 | (667) ( ~ (all_120_0_51 = 0) | all_301_0_67 = 0 | all_230_0_65 = all_0_4_4) & (all_120_0_51 = 0 | ( ~ (all_301_0_67 = 0) & ~ (all_230_0_65 = all_0_4_4))) % 39.88/11.47 | % 39.88/11.47 | Applying alpha-rule on (667) yields: % 39.88/11.47 | (668) ~ (all_120_0_51 = 0) | all_301_0_67 = 0 | all_230_0_65 = all_0_4_4 % 39.88/11.47 | (669) all_120_0_51 = 0 | ( ~ (all_301_0_67 = 0) & ~ (all_230_0_65 = all_0_4_4)) % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (669), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (670) all_120_0_51 = 0 % 39.88/11.47 | % 39.88/11.47 | Equations (670) can reduce 647 to: % 39.88/11.47 | (161) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (647) ~ (all_120_0_51 = 0) % 39.88/11.47 | (673) ~ (all_301_0_67 = 0) & ~ (all_230_0_65 = all_0_4_4) % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (585), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (578) ~ (all_318_1_90 = 0) % 39.88/11.47 | % 39.88/11.47 | Equations (580) can reduce 578 to: % 39.88/11.47 | (161) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (580) all_318_1_90 = 0 % 39.88/11.47 | (677) all_318_0_89 = 0 | all_120_0_51 = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (677), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (678) all_318_0_89 = 0 % 39.88/11.47 | % 39.88/11.47 | From (678) and (583) follows: % 39.88/11.47 | (679) memberP(all_0_9_9, all_0_4_4) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (559), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (680) ~ (all_309_1_76 = 0) % 39.88/11.47 | % 39.88/11.47 | Equations (601) can reduce 680 to: % 39.88/11.47 | (161) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (601) all_309_1_76 = 0 % 39.88/11.47 | (683) all_309_0_75 = all_230_1_66 % 39.88/11.47 | % 39.88/11.47 | From (683) and (557) follows: % 39.88/11.47 | (684) tl(all_0_8_8) = all_230_1_66 % 39.88/11.47 | % 39.88/11.47 | Instantiating formula (142) with all_0_9_9, all_334_2_100, 0 and discharging atoms ssList(all_0_9_9) = all_334_2_100, ssList(all_0_9_9) = 0, yields: % 39.88/11.47 | (631) all_334_2_100 = 0 % 39.88/11.47 | % 39.88/11.47 | Instantiating formula (12) with all_0_11_11, all_407_1_104, 0 and discharging atoms ssItem(all_0_11_11) = all_407_1_104, ssItem(all_0_11_11) = 0, yields: % 39.88/11.47 | (686) all_407_1_104 = 0 % 39.88/11.47 | % 39.88/11.47 | From (631) and (635) follows: % 39.88/11.47 | (347) ssList(all_0_9_9) = 0 % 39.88/11.47 | % 39.88/11.47 | From (686) and (662) follows: % 39.88/11.47 | (200) ssItem(all_0_11_11) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (526), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (689) ~ (memberP(all_0_9_9, all_0_4_4) = all_114_0_45) % 39.88/11.47 | % 39.88/11.47 | Using (679) and (689) yields: % 39.88/11.47 | (690) ~ (all_114_0_45 = 0) % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (373), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (691) ~ (all_114_1_46 = 0) % 39.88/11.47 | % 39.88/11.47 | Equations (412) can reduce 691 to: % 39.88/11.47 | (161) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (412) all_114_1_46 = 0 % 39.88/11.47 | (694) ( ~ (all_0_3_3 = 0) | all_114_0_45 = 0 | all_107_0_43 = all_0_4_4) & (all_0_3_3 = 0 | ( ~ (all_114_0_45 = 0) & ~ (all_107_0_43 = all_0_4_4))) % 39.88/11.47 | % 39.88/11.47 | Applying alpha-rule on (694) yields: % 39.88/11.47 | (695) ~ (all_0_3_3 = 0) | all_114_0_45 = 0 | all_107_0_43 = all_0_4_4 % 39.88/11.47 | (696) all_0_3_3 = 0 | ( ~ (all_114_0_45 = 0) & ~ (all_107_0_43 = all_0_4_4)) % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (695), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (170) ~ (all_0_3_3 = 0) % 39.88/11.47 | % 39.88/11.47 | Equations (172) can reduce 170 to: % 39.88/11.47 | (161) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (172) all_0_3_3 = 0 % 39.88/11.47 | (700) all_114_0_45 = 0 | all_107_0_43 = all_0_4_4 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (700), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (701) all_114_0_45 = 0 % 39.88/11.47 | % 39.88/11.47 | Equations (701) can reduce 690 to: % 39.88/11.47 | (161) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (690) ~ (all_114_0_45 = 0) % 39.88/11.47 | (704) all_107_0_43 = all_0_4_4 % 39.88/11.47 | % 39.88/11.47 | From (704) and (358) follows: % 39.88/11.47 | (2) ssItem(all_0_4_4) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (282), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (706) ~ (ssList(all_0_13_13) = all_25_0_29) % 39.88/11.47 | % 39.88/11.47 | From (344) and (706) follows: % 39.88/11.47 | (707) ~ (ssList(all_0_13_13) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (87) and (707) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (709) ssList(all_0_13_13) = all_25_0_29 % 39.88/11.47 | (710) all_25_0_29 = all_17_0_21 % 39.88/11.47 | % 39.88/11.47 | Combining equations (710,344) yields a new equation: % 39.88/11.47 | (711) all_17_0_21 = 0 % 39.88/11.47 | % 39.88/11.47 | Simplifying 711 yields: % 39.88/11.47 | (279) all_17_0_21 = 0 % 39.88/11.47 | % 39.88/11.47 | From (344) and (709) follows: % 39.88/11.47 | (87) ssList(all_0_13_13) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (276), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (714) ~ (ssList(all_0_14_14) = all_17_1_22) % 39.88/11.47 | % 39.88/11.47 | From (346) and (714) follows: % 39.88/11.47 | (715) ~ (ssList(all_0_14_14) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (85) and (715) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (717) ssList(all_0_14_14) = all_17_1_22 % 39.88/11.47 | (346) all_17_1_22 = 0 % 39.88/11.47 | % 39.88/11.47 | From (346) and (717) follows: % 39.88/11.47 | (85) ssList(all_0_14_14) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (271), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (706) ~ (ssList(all_0_13_13) = all_25_0_29) % 39.88/11.47 | % 39.88/11.47 | From (344) and (706) follows: % 39.88/11.47 | (707) ~ (ssList(all_0_13_13) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (87) and (707) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (709) ssList(all_0_13_13) = all_25_0_29 % 39.88/11.47 | (344) all_25_0_29 = 0 % 39.88/11.47 | % 39.88/11.47 | From (344) and (709) follows: % 39.88/11.47 | (87) ssList(all_0_13_13) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (280), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (726) ~ (ssList(all_0_14_14) = all_17_0_21) % 39.88/11.47 | % 39.88/11.47 | From (279) and (726) follows: % 39.88/11.47 | (715) ~ (ssList(all_0_14_14) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (85) and (715) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (729) ssList(all_0_14_14) = all_17_0_21 % 39.88/11.47 | (279) all_17_0_21 = 0 % 39.88/11.47 | % 39.88/11.47 | From (279) and (729) follows: % 39.88/11.47 | (85) ssList(all_0_14_14) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (273), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (732) ~ (ssList(nil) = all_25_0_29) % 39.88/11.47 | % 39.88/11.47 | From (344) and (732) follows: % 39.88/11.47 | (733) ~ (ssList(nil) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (126) and (733) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (735) ssList(nil) = all_25_0_29 % 39.88/11.47 | (344) all_25_0_29 = 0 % 39.88/11.47 | % 39.88/11.47 | From (344) and (735) follows: % 39.88/11.47 | (126) ssList(nil) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (272), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (738) ~ (ssList(all_0_14_14) = all_25_0_29) % 39.88/11.47 | % 39.88/11.47 | From (344) and (738) follows: % 39.88/11.47 | (715) ~ (ssList(all_0_14_14) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (85) and (715) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (741) ssList(all_0_14_14) = all_25_0_29 % 39.88/11.47 | (344) all_25_0_29 = 0 % 39.88/11.47 | % 39.88/11.47 | From (344) and (741) follows: % 39.88/11.47 | (85) ssList(all_0_14_14) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (281), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (744) ~ (ssList(nil) = all_17_0_21) % 39.88/11.47 | % 39.88/11.47 | From (279) and (744) follows: % 39.88/11.47 | (733) ~ (ssList(nil) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (126) and (733) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (747) ssList(nil) = all_17_0_21 % 39.88/11.47 | (279) all_17_0_21 = 0 % 39.88/11.47 | % 39.88/11.47 | From (279) and (747) follows: % 39.88/11.47 | (126) ssList(nil) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (283), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (750) ~ (ssList(all_0_13_13) = all_17_1_22) % 39.88/11.47 | % 39.88/11.47 | From (346) and (750) follows: % 39.88/11.47 | (707) ~ (ssList(all_0_13_13) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (87) and (707) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (753) ssList(all_0_13_13) = all_17_1_22 % 39.88/11.47 | (754) all_17_0_21 = all_17_1_22 % 39.88/11.47 | % 39.88/11.47 | Combining equations (754,279) yields a new equation: % 39.88/11.47 | (345) all_17_1_22 = 0 % 39.88/11.47 | % 39.88/11.47 | Simplifying 345 yields: % 39.88/11.47 | (346) all_17_1_22 = 0 % 39.88/11.47 | % 39.88/11.47 | From (346) and (753) follows: % 39.88/11.47 | (87) ssList(all_0_13_13) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (270), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (758) ~ (ssList(all_0_9_9) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (347) and (758) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (347) ssList(all_0_9_9) = 0 % 39.88/11.47 | (344) all_25_0_29 = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (275), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (750) ~ (ssList(all_0_13_13) = all_17_1_22) % 39.88/11.47 | % 39.88/11.47 | From (346) and (750) follows: % 39.88/11.47 | (707) ~ (ssList(all_0_13_13) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (87) and (707) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (753) ssList(all_0_13_13) = all_17_1_22 % 39.88/11.47 | (346) all_17_1_22 = 0 % 39.88/11.47 | % 39.88/11.47 | From (346) and (753) follows: % 39.88/11.47 | (87) ssList(all_0_13_13) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (274), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (758) ~ (ssList(all_0_9_9) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (347) and (758) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (347) ssList(all_0_9_9) = 0 % 39.88/11.47 | (346) all_17_1_22 = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (277), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (772) ~ (ssList(nil) = all_17_1_22) % 39.88/11.47 | % 39.88/11.47 | From (346) and (772) follows: % 39.88/11.47 | (733) ~ (ssList(nil) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (126) and (733) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (775) ssList(nil) = all_17_1_22 % 39.88/11.47 | (346) all_17_1_22 = 0 % 39.88/11.47 | % 39.88/11.47 | From (346) and (775) follows: % 39.88/11.47 | (126) ssList(nil) = 0 % 39.88/11.47 | % 39.88/11.47 +-Applying beta-rule and splitting (425), into two cases. % 39.88/11.47 |-Branch one: % 39.88/11.47 | (778) ~ (ssList(all_0_9_9) = all_114_1_46) % 39.88/11.47 | % 39.88/11.47 | From (412) and (778) follows: % 39.88/11.47 | (758) ~ (ssList(all_0_9_9) = 0) % 39.88/11.47 | % 39.88/11.47 | Using (347) and (758) yields: % 39.88/11.47 | (166) $false % 39.88/11.47 | % 39.88/11.47 |-The branch is then unsatisfiable % 39.88/11.47 |-Branch two: % 39.88/11.47 | (781) ssList(all_0_9_9) = all_114_1_46 % 39.88/11.48 | (782) all_126_1_58 = all_114_1_46 % 39.88/11.48 | % 39.88/11.48 | Combining equations (423,782) yields a new equation: % 39.88/11.48 | (412) all_114_1_46 = 0 % 39.88/11.48 | % 39.88/11.48 | Combining equations (412,782) yields a new equation: % 39.88/11.48 | (423) all_126_1_58 = 0 % 39.88/11.48 | % 39.88/11.48 | From (412) and (781) follows: % 39.88/11.48 | (347) ssList(all_0_9_9) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (413), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (786) ~ (ssList(all_0_8_8) = all_114_1_46) % 39.88/11.48 | % 39.88/11.48 | From (412) and (786) follows: % 39.88/11.48 | (787) ~ (ssList(all_0_8_8) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (196) and (787) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (789) ssList(all_0_8_8) = all_114_1_46 % 39.88/11.48 | (412) all_114_1_46 = 0 % 39.88/11.48 | % 39.88/11.48 | From (412) and (789) follows: % 39.88/11.48 | (196) ssList(all_0_8_8) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (420), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (792) ~ (ssList(all_0_14_14) = all_120_1_52) % 39.88/11.48 | % 39.88/11.48 | From (417) and (792) follows: % 39.88/11.48 | (715) ~ (ssList(all_0_14_14) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (85) and (715) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (795) ssList(all_0_14_14) = all_120_1_52 % 39.88/11.48 | (417) all_120_1_52 = 0 % 39.88/11.48 | % 39.88/11.48 | From (417) and (795) follows: % 39.88/11.48 | (85) ssList(all_0_14_14) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (424), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (798) ~ (ssList(all_0_14_14) = all_126_1_58) % 39.88/11.48 | % 39.88/11.48 | From (423) and (798) follows: % 39.88/11.48 | (715) ~ (ssList(all_0_14_14) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (85) and (715) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (801) ssList(all_0_14_14) = all_126_1_58 % 39.88/11.48 | (423) all_126_1_58 = 0 % 39.88/11.48 | % 39.88/11.48 | From (423) and (801) follows: % 39.88/11.48 | (85) ssList(all_0_14_14) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (415), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (804) ~ (ssList(all_0_14_14) = all_114_1_46) % 39.88/11.48 | % 39.88/11.48 | From (412) and (804) follows: % 39.88/11.48 | (715) ~ (ssList(all_0_14_14) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (85) and (715) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (807) ssList(all_0_14_14) = all_114_1_46 % 39.88/11.48 | (412) all_114_1_46 = 0 % 39.88/11.48 | % 39.88/11.48 | From (412) and (807) follows: % 39.88/11.48 | (85) ssList(all_0_14_14) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (422), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (786) ~ (ssList(all_0_8_8) = all_114_1_46) % 39.88/11.48 | % 39.88/11.48 | From (412) and (786) follows: % 39.88/11.48 | (787) ~ (ssList(all_0_8_8) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (196) and (787) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (789) ssList(all_0_8_8) = all_114_1_46 % 39.88/11.48 | (814) all_120_1_52 = all_114_1_46 % 39.88/11.48 | % 39.88/11.48 | Combining equations (417,814) yields a new equation: % 39.88/11.48 | (412) all_114_1_46 = 0 % 39.88/11.48 | % 39.88/11.48 | Combining equations (412,814) yields a new equation: % 39.88/11.48 | (417) all_120_1_52 = 0 % 39.88/11.48 | % 39.88/11.48 | From (412) and (789) follows: % 39.88/11.48 | (196) ssList(all_0_8_8) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (419), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (818) ~ (ssList(all_0_13_13) = all_120_1_52) % 39.88/11.48 | % 39.88/11.48 | From (417) and (818) follows: % 39.88/11.48 | (707) ~ (ssList(all_0_13_13) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (87) and (707) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (821) ssList(all_0_13_13) = all_120_1_52 % 39.88/11.48 | (417) all_120_1_52 = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (426), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (823) ~ (ssList(all_0_9_9) = all_120_1_52) % 39.88/11.48 | % 39.88/11.48 | From (417) and (823) follows: % 39.88/11.48 | (758) ~ (ssList(all_0_9_9) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (347) and (758) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (826) ssList(all_0_9_9) = all_120_1_52 % 39.88/11.48 | (827) all_126_1_58 = all_120_1_52 % 39.88/11.48 | % 39.88/11.48 | Combining equations (423,827) yields a new equation: % 39.88/11.48 | (417) all_120_1_52 = 0 % 39.88/11.48 | % 39.88/11.48 | From (417) and (826) follows: % 39.88/11.48 | (347) ssList(all_0_9_9) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (414), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (778) ~ (ssList(all_0_9_9) = all_114_1_46) % 39.88/11.48 | % 39.88/11.48 | From (412) and (778) follows: % 39.88/11.48 | (758) ~ (ssList(all_0_9_9) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (347) and (758) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (781) ssList(all_0_9_9) = all_114_1_46 % 39.88/11.48 | (412) all_114_1_46 = 0 % 39.88/11.48 | % 39.88/11.48 | From (412) and (781) follows: % 39.88/11.48 | (347) ssList(all_0_9_9) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (416), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (836) ~ (ssList(nil) = all_114_1_46) % 39.88/11.48 | % 39.88/11.48 | From (412) and (836) follows: % 39.88/11.48 | (733) ~ (ssList(nil) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (126) and (733) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (839) ssList(nil) = all_114_1_46 % 39.88/11.48 | (412) all_114_1_46 = 0 % 39.88/11.48 | % 39.88/11.48 | From (412) and (839) follows: % 39.88/11.48 | (126) ssList(nil) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (418), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (823) ~ (ssList(all_0_9_9) = all_120_1_52) % 39.88/11.48 | % 39.88/11.48 | From (417) and (823) follows: % 39.88/11.48 | (758) ~ (ssList(all_0_9_9) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (347) and (758) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (826) ssList(all_0_9_9) = all_120_1_52 % 39.88/11.48 | (417) all_120_1_52 = 0 % 39.88/11.48 | % 39.88/11.48 | From (417) and (826) follows: % 39.88/11.48 | (347) ssList(all_0_9_9) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (421), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (848) ~ (ssList(nil) = all_120_1_52) % 39.88/11.48 | % 39.88/11.48 | From (417) and (848) follows: % 39.88/11.48 | (733) ~ (ssList(nil) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (126) and (733) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (851) ssList(nil) = all_120_1_52 % 39.88/11.48 | (417) all_120_1_52 = 0 % 39.88/11.48 | % 39.88/11.48 | From (417) and (851) follows: % 39.88/11.48 | (126) ssList(nil) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (437), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (854) ~ (ssItem(all_0_11_11) = all_116_1_48) % 39.88/11.48 | % 39.88/11.48 | From (440) and (854) follows: % 39.88/11.48 | (855) ~ (ssItem(all_0_11_11) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (200) and (855) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (857) ssItem(all_0_11_11) = all_116_1_48 % 39.88/11.48 | (858) all_118_1_50 = all_116_1_48 % 39.88/11.48 | % 39.88/11.48 | Combining equations (439,858) yields a new equation: % 39.88/11.48 | (440) all_116_1_48 = 0 % 39.88/11.48 | % 39.88/11.48 | From (440) and (857) follows: % 39.88/11.48 | (200) ssItem(all_0_11_11) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (429), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (861) ~ (ssItem(all_0_4_4) = all_122_1_54) % 39.88/11.48 | % 39.88/11.48 | From (427) and (861) follows: % 39.88/11.48 | (862) ~ (ssItem(all_0_4_4) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (2) and (862) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (864) ssItem(all_0_4_4) = all_122_1_54 % 39.88/11.48 | (427) all_122_1_54 = 0 % 39.88/11.48 | % 39.88/11.48 | From (427) and (864) follows: % 39.88/11.48 | (2) ssItem(all_0_4_4) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (430), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (867) ~ (ssItem(all_0_0_0) = all_116_1_48) % 39.88/11.48 | % 39.88/11.48 | From (440) and (867) follows: % 39.88/11.48 | (868) ~ (ssItem(all_0_0_0) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (48) and (868) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (870) ssItem(all_0_0_0) = all_116_1_48 % 39.88/11.48 | (440) all_116_1_48 = 0 % 39.88/11.48 | % 39.88/11.48 | From (440) and (870) follows: % 39.88/11.48 | (48) ssItem(all_0_0_0) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (436), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (873) ~ (ssItem(all_0_11_11) = all_122_1_54) % 39.88/11.48 | % 39.88/11.48 | From (427) and (873) follows: % 39.88/11.48 | (855) ~ (ssItem(all_0_11_11) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (200) and (855) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (876) ssItem(all_0_11_11) = all_122_1_54 % 39.88/11.48 | (877) all_122_1_54 = all_118_1_50 % 39.88/11.48 | % 39.88/11.48 | Combining equations (427,877) yields a new equation: % 39.88/11.48 | (439) all_118_1_50 = 0 % 39.88/11.48 | % 39.88/11.48 | Combining equations (439,877) yields a new equation: % 39.88/11.48 | (427) all_122_1_54 = 0 % 39.88/11.48 | % 39.88/11.48 | From (427) and (876) follows: % 39.88/11.48 | (200) ssItem(all_0_11_11) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (428), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (881) ~ (ssItem(all_0_0_0) = all_122_1_54) % 39.88/11.48 | % 39.88/11.48 | From (427) and (881) follows: % 39.88/11.48 | (868) ~ (ssItem(all_0_0_0) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (48) and (868) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (884) ssItem(all_0_0_0) = all_122_1_54 % 39.88/11.48 | (427) all_122_1_54 = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (435), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (873) ~ (ssItem(all_0_11_11) = all_122_1_54) % 39.88/11.48 | % 39.88/11.48 | From (427) and (873) follows: % 39.88/11.48 | (855) ~ (ssItem(all_0_11_11) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (200) and (855) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (876) ssItem(all_0_11_11) = all_122_1_54 % 39.88/11.48 | (890) all_124_1_56 = all_122_1_54 % 39.88/11.48 | % 39.88/11.48 | Combining equations (434,890) yields a new equation: % 39.88/11.48 | (427) all_122_1_54 = 0 % 39.88/11.48 | % 39.88/11.48 | From (427) and (876) follows: % 39.88/11.48 | (200) ssItem(all_0_11_11) = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (432), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (854) ~ (ssItem(all_0_11_11) = all_116_1_48) % 39.88/11.48 | % 39.88/11.48 | From (440) and (854) follows: % 39.88/11.48 | (855) ~ (ssItem(all_0_11_11) = 0) % 39.88/11.48 | % 39.88/11.48 | Using (200) and (855) yields: % 39.88/11.48 | (166) $false % 39.88/11.48 | % 39.88/11.48 |-The branch is then unsatisfiable % 39.88/11.48 |-Branch two: % 39.88/11.48 | (857) ssItem(all_0_11_11) = all_116_1_48 % 39.88/11.48 | (440) all_116_1_48 = 0 % 39.88/11.48 | % 39.88/11.48 +-Applying beta-rule and splitting (431), into two cases. % 39.88/11.48 |-Branch one: % 39.88/11.48 | (898) ~ (ssItem(all_0_4_4) = all_116_1_48) % 39.88/11.49 | % 39.88/11.49 | From (440) and (898) follows: % 39.88/11.49 | (862) ~ (ssItem(all_0_4_4) = 0) % 39.88/11.49 | % 39.88/11.49 | Using (2) and (862) yields: % 39.88/11.49 | (166) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (901) ssItem(all_0_4_4) = all_116_1_48 % 39.88/11.49 | (440) all_116_1_48 = 0 % 39.88/11.49 | % 39.88/11.49 | From (440) and (901) follows: % 39.88/11.49 | (2) ssItem(all_0_4_4) = 0 % 39.88/11.49 | % 39.88/11.49 +-Applying beta-rule and splitting (483), into two cases. % 39.88/11.49 |-Branch one: % 39.88/11.49 | (904) ~ (ssList(all_0_14_14) = all_137_1_62) % 39.88/11.49 | % 39.88/11.49 | From (452) and (904) follows: % 39.88/11.49 | (715) ~ (ssList(all_0_14_14) = 0) % 39.88/11.49 | % 39.88/11.49 | Using (85) and (715) yields: % 39.88/11.49 | (166) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (907) ssList(all_0_14_14) = all_137_1_62 % 39.88/11.49 | (452) all_137_1_62 = 0 % 39.88/11.49 | % 39.88/11.49 | From (452) and (907) follows: % 39.88/11.49 | (85) ssList(all_0_14_14) = 0 % 39.88/11.49 | % 39.88/11.49 +-Applying beta-rule and splitting (484), into two cases. % 39.88/11.49 |-Branch one: % 39.88/11.49 | (910) ~ (ssList(nil) = all_137_1_62) % 39.88/11.49 | % 39.88/11.49 | From (452) and (910) follows: % 39.88/11.49 | (733) ~ (ssList(nil) = 0) % 39.88/11.49 | % 39.88/11.49 | Using (126) and (733) yields: % 39.88/11.49 | (166) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (913) ssList(nil) = all_137_1_62 % 39.88/11.49 | (452) all_137_1_62 = 0 % 39.88/11.49 | % 39.88/11.49 +-Applying beta-rule and splitting (482), into two cases. % 39.88/11.49 |-Branch one: % 39.88/11.49 | (915) ~ (ssList(all_0_9_9) = all_137_1_62) % 39.88/11.49 | % 39.88/11.49 | From (452) and (915) follows: % 39.88/11.49 | (758) ~ (ssList(all_0_9_9) = 0) % 39.88/11.49 | % 39.88/11.49 | Using (347) and (758) yields: % 39.88/11.49 | (166) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (451) ssList(all_0_9_9) = all_137_1_62 % 39.88/11.49 | (452) all_137_1_62 = 0 % 39.88/11.49 | % 39.88/11.49 | From (452) and (451) follows: % 39.88/11.49 | (347) ssList(all_0_9_9) = 0 % 39.88/11.49 | % 39.88/11.49 | Instantiating formula (104) with all_230_1_66, all_0_8_8 and discharging atoms tl(all_0_8_8) = all_230_1_66, yields: % 39.88/11.49 | (921) ? [v0] : ? [v1] : (hd(all_0_8_8) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | ! [v2] : (v2 = all_0_8_8 | v2 = nil | all_0_8_8 = nil | ~ (tl(v2) = all_230_1_66) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssList(v2) = v3 & ( ~ (v4 = v1) | ~ (v3 = 0)))))) % 39.88/11.49 | % 39.88/11.49 | Instantiating formula (130) with all_0_2_2, all_0_14_14, all_0_8_8, 0, all_0_9_9, all_0_4_4 and discharging atoms memberP(all_0_9_9, all_0_4_4) = 0, memberP(all_0_14_14, all_0_4_4) = all_0_2_2, app(all_0_9_9, all_0_8_8) = all_0_14_14, ssItem(all_0_4_4) = 0, yields: % 39.88/11.49 | (922) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (memberP(all_0_8_8, all_0_4_4) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | all_0_2_2 = 0))) % 39.88/11.49 | % 39.88/11.49 | Instantiating formula (49) with all_334_1_99, all_0_9_9, all_0_14_14 and discharging atoms ssList(all_0_14_14) = 0, app(all_0_14_14, all_0_9_9) = all_334_1_99, yields: % 39.88/11.49 | (923) ? [v0] : ? [v1] : (ssList(all_334_1_99) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 39.88/11.49 | % 39.88/11.49 | Instantiating (923) with all_997_0_123, all_997_1_124 yields: % 39.88/11.49 | (924) ssList(all_334_1_99) = all_997_0_123 & ssList(all_0_9_9) = all_997_1_124 & ( ~ (all_997_1_124 = 0) | all_997_0_123 = 0) % 39.88/11.49 | % 39.88/11.49 | Applying alpha-rule on (924) yields: % 39.88/11.49 | (925) ssList(all_334_1_99) = all_997_0_123 % 39.88/11.49 | (926) ssList(all_0_9_9) = all_997_1_124 % 39.88/11.49 | (927) ~ (all_997_1_124 = 0) | all_997_0_123 = 0 % 39.88/11.49 | % 39.88/11.49 | Instantiating (922) with all_1007_0_140, all_1007_1_141 yields: % 39.88/11.49 | (928) ( ~ (all_1007_1_141 = 0) & ssList(all_0_9_9) = all_1007_1_141) | (memberP(all_0_8_8, all_0_4_4) = all_1007_0_140 & ssList(all_0_8_8) = all_1007_1_141 & ( ~ (all_1007_1_141 = 0) | all_0_2_2 = 0)) % 39.88/11.49 | % 39.88/11.49 | Instantiating (921) with all_1012_0_146, all_1012_1_147 yields: % 39.88/11.49 | (929) hd(all_0_8_8) = all_1012_0_146 & ssList(all_0_8_8) = all_1012_1_147 & ( ~ (all_1012_1_147 = 0) | ! [v0] : (v0 = all_0_8_8 | v0 = nil | all_0_8_8 = nil | ~ (tl(v0) = all_230_1_66) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_1012_0_146) | ~ (v1 = 0))))) % 39.88/11.49 | % 39.88/11.49 | Applying alpha-rule on (929) yields: % 39.88/11.49 | (930) hd(all_0_8_8) = all_1012_0_146 % 39.88/11.49 | (931) ssList(all_0_8_8) = all_1012_1_147 % 39.88/11.49 | (932) ~ (all_1012_1_147 = 0) | ! [v0] : (v0 = all_0_8_8 | v0 = nil | all_0_8_8 = nil | ~ (tl(v0) = all_230_1_66) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_1012_0_146) | ~ (v1 = 0)))) % 39.88/11.49 | % 39.88/11.49 | Instantiating formula (142) with all_0_8_8, all_1012_1_147, 0 and discharging atoms ssList(all_0_8_8) = all_1012_1_147, ssList(all_0_8_8) = 0, yields: % 39.88/11.49 | (933) all_1012_1_147 = 0 % 39.88/11.49 | % 39.88/11.49 | Instantiating formula (142) with all_0_9_9, all_997_1_124, 0 and discharging atoms ssList(all_0_9_9) = all_997_1_124, ssList(all_0_9_9) = 0, yields: % 39.88/11.49 | (934) all_997_1_124 = 0 % 39.88/11.49 | % 39.88/11.49 | From (933) and (931) follows: % 39.88/11.49 | (196) ssList(all_0_8_8) = 0 % 39.88/11.49 | % 39.88/11.49 | From (934) and (926) follows: % 39.88/11.49 | (347) ssList(all_0_9_9) = 0 % 39.88/11.49 | % 39.88/11.49 +-Applying beta-rule and splitting (928), into two cases. % 39.88/11.49 |-Branch one: % 39.88/11.49 | (937) ~ (all_1007_1_141 = 0) & ssList(all_0_9_9) = all_1007_1_141 % 39.88/11.49 | % 39.88/11.49 | Applying alpha-rule on (937) yields: % 39.88/11.49 | (938) ~ (all_1007_1_141 = 0) % 39.88/11.49 | (939) ssList(all_0_9_9) = all_1007_1_141 % 39.88/11.49 | % 39.88/11.49 | Instantiating formula (142) with all_0_9_9, all_1007_1_141, 0 and discharging atoms ssList(all_0_9_9) = all_1007_1_141, ssList(all_0_9_9) = 0, yields: % 39.88/11.49 | (940) all_1007_1_141 = 0 % 39.88/11.49 | % 39.88/11.49 | Equations (940) can reduce 938 to: % 39.88/11.49 | (161) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (942) memberP(all_0_8_8, all_0_4_4) = all_1007_0_140 & ssList(all_0_8_8) = all_1007_1_141 & ( ~ (all_1007_1_141 = 0) | all_0_2_2 = 0) % 39.88/11.49 | % 39.88/11.49 | Applying alpha-rule on (942) yields: % 39.88/11.49 | (943) memberP(all_0_8_8, all_0_4_4) = all_1007_0_140 % 39.88/11.49 | (944) ssList(all_0_8_8) = all_1007_1_141 % 39.88/11.49 | (945) ~ (all_1007_1_141 = 0) | all_0_2_2 = 0 % 39.88/11.49 | % 39.88/11.49 +-Applying beta-rule and splitting (945), into two cases. % 39.88/11.49 |-Branch one: % 39.88/11.49 | (938) ~ (all_1007_1_141 = 0) % 39.88/11.49 | % 39.88/11.49 | Instantiating formula (142) with all_0_8_8, all_1007_1_141, 0 and discharging atoms ssList(all_0_8_8) = all_1007_1_141, ssList(all_0_8_8) = 0, yields: % 39.88/11.49 | (940) all_1007_1_141 = 0 % 39.88/11.49 | % 39.88/11.49 | Equations (940) can reduce 938 to: % 39.88/11.49 | (161) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (940) all_1007_1_141 = 0 % 39.88/11.49 | (171) all_0_2_2 = 0 % 39.88/11.49 | % 39.88/11.49 | Equations (171) can reduce 169 to: % 39.88/11.49 | (161) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (952) memberP(all_0_9_9, all_0_4_4) = all_114_0_45 % 39.88/11.49 | (953) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (memberP(all_0_8_8, all_0_4_4) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_114_0_45 = 0) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_114_0_45 = 0))))))) % 39.88/11.49 | % 39.88/11.49 | Instantiating (953) with all_454_0_156, all_454_1_157 yields: % 39.88/11.49 | (954) ( ~ (all_454_1_157 = 0) & ssList(all_0_9_9) = all_454_1_157) | (memberP(all_0_8_8, all_0_4_4) = all_454_0_156 & ssList(all_0_8_8) = all_454_1_157 & ( ~ (all_454_1_157 = 0) | (( ~ (all_0_2_2 = 0) | all_454_0_156 = 0 | all_114_0_45 = 0) & (all_0_2_2 = 0 | ( ~ (all_454_0_156 = 0) & ~ (all_114_0_45 = 0)))))) % 39.88/11.49 | % 39.88/11.49 +-Applying beta-rule and splitting (954), into two cases. % 39.88/11.49 |-Branch one: % 39.88/11.49 | (955) ~ (all_454_1_157 = 0) & ssList(all_0_9_9) = all_454_1_157 % 39.88/11.49 | % 39.88/11.49 | Applying alpha-rule on (955) yields: % 39.88/11.49 | (956) ~ (all_454_1_157 = 0) % 39.88/11.49 | (957) ssList(all_0_9_9) = all_454_1_157 % 39.88/11.49 | % 39.88/11.49 | Instantiating formula (142) with all_0_9_9, all_454_1_157, 0 and discharging atoms ssList(all_0_9_9) = all_454_1_157, ssList(all_0_9_9) = 0, yields: % 39.88/11.49 | (958) all_454_1_157 = 0 % 39.88/11.49 | % 39.88/11.49 | Equations (958) can reduce 956 to: % 39.88/11.49 | (161) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (960) memberP(all_0_8_8, all_0_4_4) = all_454_0_156 & ssList(all_0_8_8) = all_454_1_157 & ( ~ (all_454_1_157 = 0) | (( ~ (all_0_2_2 = 0) | all_454_0_156 = 0 | all_114_0_45 = 0) & (all_0_2_2 = 0 | ( ~ (all_454_0_156 = 0) & ~ (all_114_0_45 = 0))))) % 39.88/11.49 | % 39.88/11.49 | Applying alpha-rule on (960) yields: % 39.88/11.49 | (961) memberP(all_0_8_8, all_0_4_4) = all_454_0_156 % 39.88/11.49 | (962) ssList(all_0_8_8) = all_454_1_157 % 39.88/11.49 | (963) ~ (all_454_1_157 = 0) | (( ~ (all_0_2_2 = 0) | all_454_0_156 = 0 | all_114_0_45 = 0) & (all_0_2_2 = 0 | ( ~ (all_454_0_156 = 0) & ~ (all_114_0_45 = 0)))) % 39.88/11.49 | % 39.88/11.49 +-Applying beta-rule and splitting (539), into two cases. % 39.88/11.49 |-Branch one: % 39.88/11.49 | (689) ~ (memberP(all_0_9_9, all_0_4_4) = all_114_0_45) % 39.88/11.49 | % 39.88/11.49 | Using (952) and (689) yields: % 39.88/11.49 | (166) $false % 39.88/11.49 | % 39.88/11.49 |-The branch is then unsatisfiable % 39.88/11.49 |-Branch two: % 39.88/11.49 | (952) memberP(all_0_9_9, all_0_4_4) = all_114_0_45 % 39.88/11.49 | (967) ? [v0] : ? [v1] : (memberP(all_132_1_60, all_0_4_4) = v1 & ssList(all_132_1_60) = v0 & ( ~ (v0 = 0) | (( ~ (all_114_0_45 = 0) | v1 = 0 | all_132_0_59 = all_0_4_4) & (all_114_0_45 = 0 | ( ~ (v1 = 0) & ~ (all_132_0_59 = all_0_4_4)))))) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (527), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (689) ~ (memberP(all_0_9_9, all_0_4_4) = all_114_0_45) % 39.88/11.50 | % 39.88/11.50 | Using (952) and (689) yields: % 39.88/11.50 | (166) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (952) memberP(all_0_9_9, all_0_4_4) = all_114_0_45 % 39.88/11.50 | (971) ? [v0] : ? [v1] : (memberP(nil, all_0_4_4) = v1 & ssList(nil) = v0 & ( ~ (v0 = 0) | (( ~ (all_114_0_45 = 0) | v1 = 0 | all_0_4_4 = all_0_11_11) & (all_114_0_45 = 0 | ( ~ (v1 = 0) & ~ (all_0_4_4 = all_0_11_11)))))) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (595), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (689) ~ (memberP(all_0_9_9, all_0_4_4) = all_114_0_45) % 39.88/11.50 | % 39.88/11.50 | Using (952) and (689) yields: % 39.88/11.50 | (166) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (952) memberP(all_0_9_9, all_0_4_4) = all_114_0_45 % 39.88/11.50 | (975) all_318_0_89 = all_114_0_45 % 39.88/11.50 | % 39.88/11.50 | Combining equations (975,678) yields a new equation: % 39.88/11.50 | (976) all_114_0_45 = 0 % 39.88/11.50 | % 39.88/11.50 | Simplifying 976 yields: % 39.88/11.50 | (701) all_114_0_45 = 0 % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (963), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (956) ~ (all_454_1_157 = 0) % 39.88/11.50 | % 39.88/11.50 | Instantiating formula (142) with all_0_8_8, all_454_1_157, 0 and discharging atoms ssList(all_0_8_8) = all_454_1_157, ssList(all_0_8_8) = 0, yields: % 39.88/11.50 | (958) all_454_1_157 = 0 % 39.88/11.50 | % 39.88/11.50 | Equations (958) can reduce 956 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (958) all_454_1_157 = 0 % 39.88/11.50 | (982) ( ~ (all_0_2_2 = 0) | all_454_0_156 = 0 | all_114_0_45 = 0) & (all_0_2_2 = 0 | ( ~ (all_454_0_156 = 0) & ~ (all_114_0_45 = 0))) % 39.88/11.50 | % 39.88/11.50 | Applying alpha-rule on (982) yields: % 39.88/11.50 | (983) ~ (all_0_2_2 = 0) | all_454_0_156 = 0 | all_114_0_45 = 0 % 39.88/11.50 | (984) all_0_2_2 = 0 | ( ~ (all_454_0_156 = 0) & ~ (all_114_0_45 = 0)) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (984), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (171) all_0_2_2 = 0 % 39.88/11.50 | % 39.88/11.50 | Equations (171) can reduce 169 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (169) ~ (all_0_2_2 = 0) % 39.88/11.50 | (988) ~ (all_454_0_156 = 0) & ~ (all_114_0_45 = 0) % 39.88/11.50 | % 39.88/11.50 | Applying alpha-rule on (988) yields: % 39.88/11.50 | (989) ~ (all_454_0_156 = 0) % 39.88/11.50 | (690) ~ (all_114_0_45 = 0) % 39.88/11.50 | % 39.88/11.50 | Equations (701) can reduce 690 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (992) ~ (all_318_0_89 = 0) % 39.88/11.50 | (670) all_120_0_51 = 0 % 39.88/11.50 | % 39.88/11.50 | Equations (670) can reduce 647 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (995) ~ (all_132_1_60 = nil) % 39.88/11.50 | (996) ? [v0] : (( ~ (v0 = 0) & ssItem(all_132_0_59) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (551), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (997) ~ (all_305_1_72 = 0) % 39.88/11.50 | % 39.88/11.50 | Equations (604) can reduce 997 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (604) all_305_1_72 = 0 % 39.88/11.50 | (1000) all_305_0_71 = all_132_1_60 % 39.88/11.50 | % 39.88/11.50 | Combining equations (1000,591) yields a new equation: % 39.88/11.50 | (1001) all_132_1_60 = nil % 39.88/11.50 | % 39.88/11.50 | Simplifying 1001 yields: % 39.88/11.50 | (638) all_132_1_60 = nil % 39.88/11.50 | % 39.88/11.50 | Equations (638) can reduce 995 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (1004) ~ (all_182_1_64 = all_0_8_8) % 39.88/11.50 | (1005) ? [v0] : (( ~ (v0 = 0) & ssItem(all_182_0_63) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (567), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (1006) ~ (all_315_1_82 = 0) % 39.88/11.50 | % 39.88/11.50 | Equations (603) can reduce 1006 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (603) all_315_1_82 = 0 % 39.88/11.50 | (1009) all_315_0_81 = all_182_1_64 % 39.88/11.50 | % 39.88/11.50 | Combining equations (1009,592) yields a new equation: % 39.88/11.50 | (1010) all_182_1_64 = all_0_8_8 % 39.88/11.50 | % 39.88/11.50 | Simplifying 1010 yields: % 39.88/11.50 | (615) all_182_1_64 = all_0_8_8 % 39.88/11.50 | % 39.88/11.50 | Equations (615) can reduce 1004 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (1013) app(nil, all_0_9_9) = all_0_13_13 % 39.88/11.50 | (1014) all_0_9_9 = all_0_13_13 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (1014), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (1015) all_0_9_9 = all_0_13_13 % 39.88/11.50 | % 39.88/11.50 | Equations (1015) can reduce 512 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (512) ~ (all_0_9_9 = all_0_13_13) % 39.88/11.50 | (1018) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0) % 39.88/11.50 | % 39.88/11.50 | Instantiating (1018) with all_222_0_172 yields: % 39.88/11.50 | (1019) ~ (all_222_0_172 = 0) & ssList(all_0_9_9) = all_222_0_172 % 39.88/11.50 | % 39.88/11.50 | Applying alpha-rule on (1019) yields: % 39.88/11.50 | (1020) ~ (all_222_0_172 = 0) % 39.88/11.50 | (1021) ssList(all_0_9_9) = all_222_0_172 % 39.88/11.50 | % 39.88/11.50 | Instantiating formula (142) with all_0_9_9, all_222_0_172, 0 and discharging atoms ssList(all_0_9_9) = all_222_0_172, ssList(all_0_9_9) = 0, yields: % 39.88/11.50 | (1022) all_222_0_172 = 0 % 39.88/11.50 | % 39.88/11.50 | Equations (1022) can reduce 1020 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (1024) app(all_0_13_13, all_0_8_8) = all_0_14_14 % 39.88/11.50 | (1025) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_13_13) = v0) | (memberP(all_0_8_8, all_0_4_4) = v1 & ssList(all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_0_3_3 = 0) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_0_3_3 = 0))))))) % 39.88/11.50 | % 39.88/11.50 | Instantiating (1025) with all_198_0_173, all_198_1_174 yields: % 39.88/11.50 | (1026) ( ~ (all_198_1_174 = 0) & ssList(all_0_13_13) = all_198_1_174) | (memberP(all_0_8_8, all_0_4_4) = all_198_0_173 & ssList(all_0_8_8) = all_198_1_174 & ( ~ (all_198_1_174 = 0) | (( ~ (all_0_2_2 = 0) | all_198_0_173 = 0 | all_0_3_3 = 0) & (all_0_2_2 = 0 | ( ~ (all_198_0_173 = 0) & ~ (all_0_3_3 = 0)))))) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (1026), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (1027) ~ (all_198_1_174 = 0) & ssList(all_0_13_13) = all_198_1_174 % 39.88/11.50 | % 39.88/11.50 | Applying alpha-rule on (1027) yields: % 39.88/11.50 | (1028) ~ (all_198_1_174 = 0) % 39.88/11.50 | (1029) ssList(all_0_13_13) = all_198_1_174 % 39.88/11.50 | % 39.88/11.50 | Instantiating formula (142) with all_0_13_13, all_198_1_174, 0 and discharging atoms ssList(all_0_13_13) = all_198_1_174, ssList(all_0_13_13) = 0, yields: % 39.88/11.50 | (1030) all_198_1_174 = 0 % 39.88/11.50 | % 39.88/11.50 | Equations (1030) can reduce 1028 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (1032) memberP(all_0_8_8, all_0_4_4) = all_198_0_173 & ssList(all_0_8_8) = all_198_1_174 & ( ~ (all_198_1_174 = 0) | (( ~ (all_0_2_2 = 0) | all_198_0_173 = 0 | all_0_3_3 = 0) & (all_0_2_2 = 0 | ( ~ (all_198_0_173 = 0) & ~ (all_0_3_3 = 0))))) % 39.88/11.50 | % 39.88/11.50 | Applying alpha-rule on (1032) yields: % 39.88/11.50 | (1033) memberP(all_0_8_8, all_0_4_4) = all_198_0_173 % 39.88/11.50 | (1034) ssList(all_0_8_8) = all_198_1_174 % 39.88/11.50 | (1035) ~ (all_198_1_174 = 0) | (( ~ (all_0_2_2 = 0) | all_198_0_173 = 0 | all_0_3_3 = 0) & (all_0_2_2 = 0 | ( ~ (all_198_0_173 = 0) & ~ (all_0_3_3 = 0)))) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (385), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (502) ~ (all_120_1_52 = 0) % 39.88/11.50 | % 39.88/11.50 | Equations (417) can reduce 502 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (417) all_120_1_52 = 0 % 39.88/11.50 | (505) ( ~ (all_0_2_2 = 0) | all_120_0_51 = 0 | all_0_4_4 = all_0_11_11) & (all_0_2_2 = 0 | ( ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11))) % 39.88/11.50 | % 39.88/11.50 | Applying alpha-rule on (505) yields: % 39.88/11.50 | (506) ~ (all_0_2_2 = 0) | all_120_0_51 = 0 | all_0_4_4 = all_0_11_11 % 39.88/11.50 | (507) all_0_2_2 = 0 | ( ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11)) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (507), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (171) all_0_2_2 = 0 % 39.88/11.50 | % 39.88/11.50 | Equations (171) can reduce 169 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (169) ~ (all_0_2_2 = 0) % 39.88/11.50 | (511) ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (1035), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (1028) ~ (all_198_1_174 = 0) % 39.88/11.50 | % 39.88/11.50 | Instantiating formula (142) with all_0_8_8, all_198_1_174, 0 and discharging atoms ssList(all_0_8_8) = all_198_1_174, ssList(all_0_8_8) = 0, yields: % 39.88/11.50 | (1030) all_198_1_174 = 0 % 39.88/11.50 | % 39.88/11.50 | Equations (1030) can reduce 1028 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (1030) all_198_1_174 = 0 % 39.88/11.50 | (1050) ( ~ (all_0_2_2 = 0) | all_198_0_173 = 0 | all_0_3_3 = 0) & (all_0_2_2 = 0 | ( ~ (all_198_0_173 = 0) & ~ (all_0_3_3 = 0))) % 39.88/11.50 | % 39.88/11.50 | Applying alpha-rule on (1050) yields: % 39.88/11.50 | (1051) ~ (all_0_2_2 = 0) | all_198_0_173 = 0 | all_0_3_3 = 0 % 39.88/11.50 | (1052) all_0_2_2 = 0 | ( ~ (all_198_0_173 = 0) & ~ (all_0_3_3 = 0)) % 39.88/11.50 | % 39.88/11.50 +-Applying beta-rule and splitting (1052), into two cases. % 39.88/11.50 |-Branch one: % 39.88/11.50 | (171) all_0_2_2 = 0 % 39.88/11.50 | % 39.88/11.50 | Equations (171) can reduce 169 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.50 | (169) ~ (all_0_2_2 = 0) % 39.88/11.50 | (1056) ~ (all_198_0_173 = 0) & ~ (all_0_3_3 = 0) % 39.88/11.50 | % 39.88/11.50 | Applying alpha-rule on (1056) yields: % 39.88/11.50 | (1057) ~ (all_198_0_173 = 0) % 39.88/11.50 | (170) ~ (all_0_3_3 = 0) % 39.88/11.50 | % 39.88/11.50 | Equations (172) can reduce 170 to: % 39.88/11.50 | (161) $false % 39.88/11.50 | % 39.88/11.50 |-The branch is then unsatisfiable % 39.88/11.50 |-Branch two: % 39.88/11.51 | (171) all_0_2_2 = 0 % 39.88/11.51 | (170) ~ (all_0_3_3 = 0) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (216), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (1062) ~ (memberP(all_0_13_13, all_0_11_11) = all_0_3_3) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (373), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (691) ~ (all_114_1_46 = 0) % 39.88/11.51 | % 39.88/11.51 | Equations (412) can reduce 691 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (412) all_114_1_46 = 0 % 39.88/11.51 | (694) ( ~ (all_0_3_3 = 0) | all_114_0_45 = 0 | all_107_0_43 = all_0_4_4) & (all_0_3_3 = 0 | ( ~ (all_114_0_45 = 0) & ~ (all_107_0_43 = all_0_4_4))) % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (694) yields: % 39.88/11.51 | (695) ~ (all_0_3_3 = 0) | all_114_0_45 = 0 | all_107_0_43 = all_0_4_4 % 39.88/11.51 | (696) all_0_3_3 = 0 | ( ~ (all_114_0_45 = 0) & ~ (all_107_0_43 = all_0_4_4)) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (696), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (172) all_0_3_3 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (172) can reduce 170 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (170) ~ (all_0_3_3 = 0) % 39.88/11.51 | (1072) ~ (all_114_0_45 = 0) & ~ (all_107_0_43 = all_0_4_4) % 39.88/11.51 | % 39.88/11.51 | Using (64) and (1062) yields: % 39.88/11.51 | (1073) ~ (all_0_4_4 = all_0_11_11) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (385), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (502) ~ (all_120_1_52 = 0) % 39.88/11.51 | % 39.88/11.51 | Equations (417) can reduce 502 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (417) all_120_1_52 = 0 % 39.88/11.51 | (505) ( ~ (all_0_2_2 = 0) | all_120_0_51 = 0 | all_0_4_4 = all_0_11_11) & (all_0_2_2 = 0 | ( ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11))) % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (505) yields: % 39.88/11.51 | (506) ~ (all_0_2_2 = 0) | all_120_0_51 = 0 | all_0_4_4 = all_0_11_11 % 39.88/11.51 | (507) all_0_2_2 = 0 | ( ~ (all_120_0_51 = 0) & ~ (all_0_4_4 = all_0_11_11)) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (506), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (169) ~ (all_0_2_2 = 0) % 39.88/11.51 | % 39.88/11.51 | Equations (171) can reduce 169 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (171) all_0_2_2 = 0 % 39.88/11.51 | (1083) all_120_0_51 = 0 | all_0_4_4 = all_0_11_11 % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (1083), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (670) all_120_0_51 = 0 % 39.88/11.51 | % 39.88/11.51 | From (670) and (383) follows: % 39.88/11.51 | (1085) memberP(all_0_8_8, all_0_4_4) = 0 % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (130) with all_0_3_3, all_0_13_13, all_0_9_9, 0, all_0_8_8, all_0_4_4 and discharging atoms memberP(all_0_8_8, all_0_4_4) = 0, memberP(all_0_13_13, all_0_4_4) = all_0_3_3, app(all_0_8_8, all_0_9_9) = all_0_13_13, ssItem(all_0_4_4) = 0, yields: % 39.88/11.51 | (1086) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_8_8) = v0) | (memberP(all_0_9_9, all_0_4_4) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | all_0_3_3 = 0))) % 39.88/11.51 | % 39.88/11.51 | Instantiating (1086) with all_327_0_205, all_327_1_206 yields: % 39.88/11.51 | (1087) ( ~ (all_327_1_206 = 0) & ssList(all_0_8_8) = all_327_1_206) | (memberP(all_0_9_9, all_0_4_4) = all_327_0_205 & ssList(all_0_9_9) = all_327_1_206 & ( ~ (all_327_1_206 = 0) | all_0_3_3 = 0)) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (1087), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (1088) ~ (all_327_1_206 = 0) & ssList(all_0_8_8) = all_327_1_206 % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (1088) yields: % 39.88/11.51 | (1089) ~ (all_327_1_206 = 0) % 39.88/11.51 | (1090) ssList(all_0_8_8) = all_327_1_206 % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (142) with all_0_8_8, all_327_1_206, 0 and discharging atoms ssList(all_0_8_8) = all_327_1_206, ssList(all_0_8_8) = 0, yields: % 39.88/11.51 | (1091) all_327_1_206 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (1091) can reduce 1089 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (1093) memberP(all_0_9_9, all_0_4_4) = all_327_0_205 & ssList(all_0_9_9) = all_327_1_206 & ( ~ (all_327_1_206 = 0) | all_0_3_3 = 0) % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (1093) yields: % 39.88/11.51 | (1094) memberP(all_0_9_9, all_0_4_4) = all_327_0_205 % 39.88/11.51 | (1095) ssList(all_0_9_9) = all_327_1_206 % 39.88/11.51 | (1096) ~ (all_327_1_206 = 0) | all_0_3_3 = 0 % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (1096), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (1089) ~ (all_327_1_206 = 0) % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (142) with all_0_9_9, all_327_1_206, 0 and discharging atoms ssList(all_0_9_9) = all_327_1_206, ssList(all_0_9_9) = 0, yields: % 39.88/11.51 | (1091) all_327_1_206 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (1091) can reduce 1089 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (1091) all_327_1_206 = 0 % 39.88/11.51 | (172) all_0_3_3 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (172) can reduce 170 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (647) ~ (all_120_0_51 = 0) % 39.88/11.51 | (1104) all_0_4_4 = all_0_11_11 % 39.88/11.51 | % 39.88/11.51 | Equations (1104) can reduce 1073 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (1106) memberP(all_0_13_13, all_0_11_11) = all_0_3_3 % 39.88/11.51 | (1107) all_0_3_3 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (1107), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (172) all_0_3_3 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (172) can reduce 170 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (170) ~ (all_0_3_3 = 0) % 39.88/11.51 | (1111) ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.88/11.51 | % 39.88/11.51 | Instantiating (1111) with all_202_0_217 yields: % 39.88/11.51 | (1112) ( ~ (all_202_0_217 = 0) & ssList(nil) = all_202_0_217) | ( ~ (all_202_0_217 = 0) & ssItem(all_0_11_11) = all_202_0_217) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (1112), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (1113) ~ (all_202_0_217 = 0) & ssList(nil) = all_202_0_217 % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (1113) yields: % 39.88/11.51 | (1114) ~ (all_202_0_217 = 0) % 39.88/11.51 | (1115) ssList(nil) = all_202_0_217 % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (142) with nil, all_202_0_217, 0 and discharging atoms ssList(nil) = all_202_0_217, ssList(nil) = 0, yields: % 39.88/11.51 | (1116) all_202_0_217 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (1116) can reduce 1114 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (1118) ~ (all_202_0_217 = 0) & ssItem(all_0_11_11) = all_202_0_217 % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (1118) yields: % 39.88/11.51 | (1114) ~ (all_202_0_217 = 0) % 39.88/11.51 | (1120) ssItem(all_0_11_11) = all_202_0_217 % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (12) with all_0_11_11, all_202_0_217, 0 and discharging atoms ssItem(all_0_11_11) = all_202_0_217, ssItem(all_0_11_11) = 0, yields: % 39.88/11.51 | (1116) all_202_0_217 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (1116) can reduce 1114 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (1123) cons(all_0_11_11, all_0_8_8) = nil % 39.88/11.51 | (1124) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0) % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (32) with all_0_11_11, all_0_8_8, nil, all_0_14_14 and discharging atoms cons(all_0_11_11, all_0_8_8) = all_0_14_14, cons(all_0_11_11, all_0_8_8) = nil, yields: % 39.88/11.51 | (163) all_0_14_14 = nil % 39.88/11.51 | % 39.88/11.51 | Using (201) and (448) yields: % 39.88/11.51 | (485) ~ (all_0_14_14 = nil) % 39.88/11.51 | % 39.88/11.51 | Equations (163) can reduce 485 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (1128) app(all_0_9_9, all_0_8_8) = nil % 39.88/11.51 | (1129) all_0_9_9 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_8_8) = v0) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (1129), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (398) all_0_9_9 = nil % 39.88/11.51 | % 39.88/11.51 | Equations (398) can reduce 348 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (348) ~ (all_0_9_9 = nil) % 39.88/11.51 | (1133) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_8_8) = v0) % 39.88/11.51 | % 39.88/11.51 | Instantiating (1133) with all_150_0_223 yields: % 39.88/11.51 | (1134) ~ (all_150_0_223 = 0) & ssList(all_0_8_8) = all_150_0_223 % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (1134) yields: % 39.88/11.51 | (1135) ~ (all_150_0_223 = 0) % 39.88/11.51 | (1136) ssList(all_0_8_8) = all_150_0_223 % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (410), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (449) ~ (all_137_1_62 = 0) & ssList(all_0_9_9) = all_137_1_62 % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (449) yields: % 39.88/11.51 | (450) ~ (all_137_1_62 = 0) % 39.88/11.51 | (451) ssList(all_0_9_9) = all_137_1_62 % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (142) with all_0_9_9, all_137_1_62, 0 and discharging atoms ssList(all_0_9_9) = all_137_1_62, ssList(all_0_9_9) = 0, yields: % 39.88/11.51 | (452) all_137_1_62 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (452) can reduce 450 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (454) hd(all_0_14_14) = all_137_0_61 & ssList(all_0_8_8) = all_137_1_62 & ( ~ (all_137_1_62 = 0) | all_137_0_61 = all_0_11_11) % 39.88/11.51 | % 39.88/11.51 | Applying alpha-rule on (454) yields: % 39.88/11.51 | (455) hd(all_0_14_14) = all_137_0_61 % 39.88/11.51 | (456) ssList(all_0_8_8) = all_137_1_62 % 39.88/11.51 | (457) ~ (all_137_1_62 = 0) | all_137_0_61 = all_0_11_11 % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (142) with all_0_8_8, all_150_0_223, 0 and discharging atoms ssList(all_0_8_8) = all_150_0_223, ssList(all_0_8_8) = 0, yields: % 39.88/11.51 | (1146) all_150_0_223 = 0 % 39.88/11.51 | % 39.88/11.51 | Instantiating formula (142) with all_0_8_8, all_137_1_62, all_150_0_223 and discharging atoms ssList(all_0_8_8) = all_150_0_223, ssList(all_0_8_8) = all_137_1_62, yields: % 39.88/11.51 | (1147) all_150_0_223 = all_137_1_62 % 39.88/11.51 | % 39.88/11.51 | Combining equations (1146,1147) yields a new equation: % 39.88/11.51 | (452) all_137_1_62 = 0 % 39.88/11.51 | % 39.88/11.51 | Combining equations (452,1147) yields a new equation: % 39.88/11.51 | (1146) all_150_0_223 = 0 % 39.88/11.51 | % 39.88/11.51 | Equations (1146) can reduce 1135 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (1151) app(all_0_8_8, all_0_9_9) = nil % 39.88/11.51 | (1152) all_0_9_9 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0) % 39.88/11.51 | % 39.88/11.51 +-Applying beta-rule and splitting (1152), into two cases. % 39.88/11.51 |-Branch one: % 39.88/11.51 | (398) all_0_9_9 = nil % 39.88/11.51 | % 39.88/11.51 | Equations (398) can reduce 348 to: % 39.88/11.51 | (161) $false % 39.88/11.51 | % 39.88/11.51 |-The branch is then unsatisfiable % 39.88/11.51 |-Branch two: % 39.88/11.51 | (348) ~ (all_0_9_9 = nil) % 39.88/11.51 | (1018) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0) % 39.88/11.52 | % 39.88/11.52 | Instantiating (1018) with all_103_0_226 yields: % 39.88/11.52 | (1157) ~ (all_103_0_226 = 0) & ssList(all_0_9_9) = all_103_0_226 % 39.88/11.52 | % 39.88/11.52 | Applying alpha-rule on (1157) yields: % 39.88/11.52 | (1158) ~ (all_103_0_226 = 0) % 39.88/11.52 | (1159) ssList(all_0_9_9) = all_103_0_226 % 39.88/11.52 | % 39.88/11.52 | Instantiating formula (142) with all_0_9_9, all_103_0_226, 0 and discharging atoms ssList(all_0_9_9) = all_103_0_226, ssList(all_0_9_9) = 0, yields: % 39.88/11.52 | (1160) all_103_0_226 = 0 % 39.88/11.52 | % 39.88/11.52 | Equations (1160) can reduce 1158 to: % 39.88/11.52 | (161) $false % 39.88/11.52 | % 39.88/11.52 |-The branch is then unsatisfiable % 39.88/11.52 |-Branch two: % 39.88/11.52 | (1162) cons(all_0_11_11, nil) = nil % 39.88/11.52 | (1163) all_0_15_15 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.88/11.52 | % 39.88/11.52 +-Applying beta-rule and splitting (1163), into two cases. % 39.88/11.52 |-Branch one: % 39.88/11.52 | (1164) all_0_15_15 = 0 % 39.88/11.52 | % 39.88/11.52 | Equations (1164) can reduce 150 to: % 39.88/11.52 | (161) $false % 39.88/11.52 | % 39.88/11.52 |-The branch is then unsatisfiable % 39.88/11.52 |-Branch two: % 39.88/11.52 | (150) ~ (all_0_15_15 = 0) % 39.88/11.52 | (1111) ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0)) % 39.88/11.52 | % 39.88/11.52 | Instantiating (1111) with all_63_0_227 yields: % 39.88/11.52 | (1168) ( ~ (all_63_0_227 = 0) & ssList(nil) = all_63_0_227) | ( ~ (all_63_0_227 = 0) & ssItem(all_0_11_11) = all_63_0_227) % 39.88/11.52 | % 39.88/11.52 +-Applying beta-rule and splitting (215), into two cases. % 39.88/11.52 |-Branch one: % 39.88/11.52 | (325) ~ (cons(all_0_11_11, nil) = nil) % 39.88/11.52 | % 39.88/11.52 | Using (1162) and (325) yields: % 39.88/11.52 | (166) $false % 39.88/11.52 | % 39.88/11.52 |-The branch is then unsatisfiable % 39.88/11.52 |-Branch two: % 39.88/11.52 | (1162) cons(all_0_11_11, nil) = nil % 39.88/11.52 | (1124) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_11_11) = v0) % 39.88/11.52 | % 39.88/11.52 | Instantiating (1124) with all_76_0_228 yields: % 39.88/11.52 | (1173) ~ (all_76_0_228 = 0) & ssItem(all_0_11_11) = all_76_0_228 % 39.88/11.52 | % 39.88/11.52 | Applying alpha-rule on (1173) yields: % 39.88/11.52 | (1174) ~ (all_76_0_228 = 0) % 39.88/11.52 | (1175) ssItem(all_0_11_11) = all_76_0_228 % 39.88/11.52 | % 39.88/11.52 +-Applying beta-rule and splitting (1168), into two cases. % 39.88/11.52 |-Branch one: % 39.88/11.52 | (1176) ~ (all_63_0_227 = 0) & ssList(nil) = all_63_0_227 % 39.88/11.52 | % 39.88/11.52 | Applying alpha-rule on (1176) yields: % 39.88/11.52 | (1177) ~ (all_63_0_227 = 0) % 39.88/11.52 | (1178) ssList(nil) = all_63_0_227 % 39.88/11.52 | % 39.88/11.52 | Instantiating formula (142) with nil, all_63_0_227, 0 and discharging atoms ssList(nil) = all_63_0_227, ssList(nil) = 0, yields: % 39.88/11.52 | (1179) all_63_0_227 = 0 % 39.88/11.52 | % 39.88/11.52 | Equations (1179) can reduce 1177 to: % 39.88/11.52 | (161) $false % 39.88/11.52 | % 39.88/11.52 |-The branch is then unsatisfiable % 39.88/11.52 |-Branch two: % 39.88/11.52 | (1181) ~ (all_63_0_227 = 0) & ssItem(all_0_11_11) = all_63_0_227 % 39.88/11.52 | % 39.88/11.52 | Applying alpha-rule on (1181) yields: % 39.88/11.52 | (1177) ~ (all_63_0_227 = 0) % 39.88/11.52 | (1183) ssItem(all_0_11_11) = all_63_0_227 % 39.88/11.52 | % 39.88/11.52 | Instantiating formula (12) with all_0_11_11, all_76_0_228, 0 and discharging atoms ssItem(all_0_11_11) = all_76_0_228, ssItem(all_0_11_11) = 0, yields: % 39.88/11.52 | (1184) all_76_0_228 = 0 % 39.88/11.52 | % 39.88/11.52 | Instantiating formula (12) with all_0_11_11, all_63_0_227, all_76_0_228 and discharging atoms ssItem(all_0_11_11) = all_76_0_228, ssItem(all_0_11_11) = all_63_0_227, yields: % 39.88/11.52 | (1185) all_76_0_228 = all_63_0_227 % 39.88/11.52 | % 39.88/11.52 | Combining equations (1184,1185) yields a new equation: % 39.88/11.52 | (1179) all_63_0_227 = 0 % 39.88/11.52 | % 39.88/11.52 | Equations (1179) can reduce 1177 to: % 39.88/11.52 | (161) $false % 39.88/11.52 | % 39.88/11.52 |-The branch is then unsatisfiable % 39.88/11.52 % SZS output end Proof for theBenchmark % 39.88/11.52 % 39.88/11.52 10953ms %------------------------------------------------------------------------------