TSTP Solution File: SWC112+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC112+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:16:16 EDT 2022
% Result : Theorem 22.04s 6.77s
% Output : Proof 30.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC112+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 15:48:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.57 ____ _
% 0.58/0.57 ___ / __ \_____(_)___ ________ __________
% 0.58/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.57
% 0.58/0.57 A Theorem Prover for First-Order Logic
% 0.58/0.57 (ePrincess v.1.0)
% 0.58/0.57
% 0.58/0.57 (c) Philipp Rümmer, 2009-2015
% 0.58/0.57 (c) Peter Backeman, 2014-2015
% 0.58/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.57 Bug reports to peter@backeman.se
% 0.58/0.57
% 0.58/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.57
% 0.58/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.58/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.24/1.07 Prover 0: Preprocessing ...
% 4.92/1.68 Prover 0: Constructing countermodel ...
% 18.27/5.91 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.98/6.08 Prover 1: Preprocessing ...
% 20.38/6.40 Prover 1: Constructing countermodel ...
% 22.04/6.76 Prover 1: proved (852ms)
% 22.04/6.77 Prover 0: stopped
% 22.04/6.77
% 22.04/6.77 No countermodel exists, formula is valid
% 22.04/6.77 % SZS status Theorem for theBenchmark
% 22.04/6.77
% 22.04/6.77 Generating proof ... found it (size 135)
% 30.09/8.66
% 30.09/8.66 % SZS output start Proof for theBenchmark
% 30.09/8.66 Assumed formulas after preprocessing and simplification:
% 30.09/8.66 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = v9) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(v1) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & segmentP(v3, v1) = v5 & singletonP(nil) = v0 & ssList(v8) = 0 & ssList(v6) = 0 & ssList(v3) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & app(v7, v8) = v3 & app(v6, v1) = v7 & neq(v3, nil) = v4 & neq(v1, nil) = v2 & ssItem(v10) = 0 & ssItem(v9) = 0 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | ~ (strictorderedP(v11) = 0) | ~ (lt(v12, v13) = v14) | ~ (ssList(v15) = 0) | ~ (cons(v13, v19) = v20) | ~ (cons(v12, v16) = v17) | ~ (app(v18, v20) = v11) | ~ (app(v15, v17) = v18) | ~ (ssItem(v12) = 0) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21) | ( ~ (v21 = 0) & ssList(v11) = v21) | ( ~ (v21 = 0) & ssItem(v13) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | ~ (totalorderedP(v11) = 0) | ~ (leq(v12, v13) = v14) | ~ (ssList(v15) = 0) | ~ (cons(v13, v19) = v20) | ~ (cons(v12, v16) = v17) | ~ (app(v18, v20) = v11) | ~ (app(v15, v17) = v18) | ~ (ssItem(v12) = 0) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21) | ( ~ (v21 = 0) & ssList(v11) = v21) | ( ~ (v21 = 0) & ssItem(v13) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (duplicatefreeP(v11) = 0) | ~ (ssList(v13) = 0) | ~ (cons(v12, v17) = v18) | ~ (cons(v12, v14) = v15) | ~ (app(v16, v18) = v11) | ~ (app(v13, v15) = v16) | ~ (ssItem(v12) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v11) = v19))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v16, v12) = v17) | ~ (segmentP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ~ (app(v14, v15) = v16) | ~ (app(v13, v11) = v14) | ? [v18] : (( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v13) = v18) | ( ~ (v18 = 0) & ssList(v12) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v13 = v12 | ~ (equalelemsP(v11) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v13, v15) = v16) | ~ (cons(v12, v16) = v17) | ~ (app(v14, v17) = v11) | ~ (ssItem(v13) = 0) | ~ (ssItem(v12) = 0) | ? [v18] : (( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v11) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (frontsegP(v14, v16) = v17) | ~ (cons(v12, v15) = v16) | ~ (cons(v11, v13) = v14) | ~ (ssItem(v12) = 0) | ~ (ssItem(v11) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v13) = v18) | (frontsegP(v13, v15) = v19 & ssList(v15) = v18 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v12 = v11) | v17 = 0) & ( ~ (v17 = 0) | (v19 = 0 & v12 = v11))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = 0 | ~ (segmentP(v11, v12) = v13) | ~ (ssList(v11) = 0) | ~ (app(v15, v16) = v11) | ~ (app(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v16) = v17) | ( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = 0 | ~ (memberP(v11, v12) = v13) | ~ (ssList(v14) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v12, v15) = v16) | ~ (app(v14, v16) = v11) | ? [v17] : (( ~ (v17 = 0) & ssList(v15) = v17) | ( ~ (v17 = 0) & ssItem(v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (memberP(v15, v11) = v16) | ~ (memberP(v12, v11) = v13) | ~ (app(v12, v14) = v15) | ~ (ssItem(v11) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v12) = v17) | (memberP(v14, v11) = v18 & ssList(v14) = v17 & ( ~ (v17 = 0) | (( ~ (v16 = 0) | v18 = 0 | v13 = 0) & (v16 = 0 | ( ~ (v18 = 0) & ~ (v13 = 0)))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (ssList(v12) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v15, v12) = v14) | ~ (cons(v13, v11) = v14) | ? [v16] : (( ~ (v16 = 0) & ssItem(v15) = v16) | ( ~ (v16 = 0) & ssItem(v13) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v14, v12) = v15) | ~ (rearsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ~ (app(v13, v11) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v12) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v14, v12) = v15) | ~ (frontsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ~ (app(v11, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v12) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (ssList(v12) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v15, v12) = v14) | ~ (cons(v13, v11) = v14) | ? [v16] : (( ~ (v16 = 0) & ssItem(v15) = v16) | ( ~ (v16 = 0) & ssItem(v13) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (memberP(v14, v11) = v15) | ~ (cons(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ~ (ssItem(v11) = 0) | ? [v16] : ? [v17] : (memberP(v13, v11) = v17 & ssList(v13) = v16 & ( ~ (v16 = 0) | (( ~ (v15 = 0) | v17 = 0 | v12 = v11) & (v15 = 0 | ( ~ (v17 = 0) & ~ (v12 = v11))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v11) = 0) | ~ (cons(v14, v13) = v15) | ~ (app(v12, v11) = v13) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & ssList(v12) = v16) | (cons(v14, v12) = v17 & app(v17, v11) = v18 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v18 = v15)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v11) = 0) | ~ (app(v13, v14) = v15) | ~ (app(v11, v12) = v13) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & ssList(v12) = v16) | (ssList(v14) = v16 & app(v12, v14) = v17 & app(v11, v17) = v18 & ( ~ (v16 = 0) | v18 = v15)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ~ (cons(v11, nil) = v12) | ~ (app(v13, v12) = v6) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssItem(v11) = v16) | (lt(v11, v14) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ( ~ (v17 = 0) | ~ (app(v15, v18) = v1) | ? [v19] : ( ~ (v19 = 0) & ssList(v18) = v19)))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ~ (cons(v11, nil) = v12) | ~ (app(v12, v13) = v8) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssItem(v11) = v16) | (lt(v14, v11) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ( ~ (v17 = 0) | ~ (app(v18, v15) = v1) | ? [v19] : ( ~ (v19 = 0) & ssList(v18) = v19)))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v11 | v11 = nil | ~ (tl(v11) = v13) | ~ (hd(v11) = v12) | ~ (cons(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v11 | ~ (ssList(v11) = 0) | ~ (app(v14, v12) = v13) | ~ (app(v11, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v11 | ~ (ssList(v11) = 0) | ~ (app(v12, v14) = v13) | ~ (app(v12, v11) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (gt(v11, v13) = v14) | ~ (gt(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (gt(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (geq(v11, v13) = v14) | ~ (geq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (geq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (lt(v11, v13) = v14) | ~ (lt(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (lt(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (lt(v11, v13) = v14) | ~ (leq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (lt(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (leq(v11, v13) = v14) | ~ (leq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssItem(v12) = v15) | (leq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (segmentP(v11, v13) = v14) | ~ (segmentP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v12) = v15) | (segmentP(v12, v13) = v16 & ssList(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (rearsegP(v11, v13) = v14) | ~ (rearsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v12) = v15) | (rearsegP(v12, v13) = v16 & ssList(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (frontsegP(v11, v13) = v14) | ~ (frontsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v12) = v15) | (frontsegP(v12, v13) = v16 & ssList(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (rearsegP(v11, v12) = v13) | ~ (ssList(v11) = 0) | ~ (app(v14, v12) = v11) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (frontsegP(v11, v12) = v13) | ~ (ssList(v11) = 0) | ~ (app(v12, v14) = v11) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (gt(v14, v13) = v12) | ~ (gt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (geq(v14, v13) = v12) | ~ (geq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (lt(v14, v13) = v12) | ~ (lt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (leq(v14, v13) = v12) | ~ (leq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (segmentP(v14, v13) = v12) | ~ (segmentP(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (rearsegP(v14, v13) = v12) | ~ (rearsegP(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (frontsegP(v14, v13) = v12) | ~ (frontsegP(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (memberP(v14, v13) = v12) | ~ (memberP(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (cons(v14, v13) = v12) | ~ (cons(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (app(v14, v13) = v12) | ~ (app(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (neq(v14, v13) = v12) | ~ (neq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = nil | ~ (tl(v11) = v12) | ~ (app(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & ssList(v11) = v15) | (tl(v16) = v17 & ssList(v13) = v15 & app(v11, v13) = v16 & ( ~ (v15 = 0) | v17 = v14)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = nil | ~ (hd(v11) = v12) | ~ (app(v11, v13) = v14) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v11) = v15) | (hd(v14) = v16 & ssList(v13) = v15 & ( ~ (v15 = 0) | v16 = v12)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (hd(v12) = v13) | ~ (lt(v11, v13) = v14) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (strictorderedP(v16) = v17 & strictorderedP(v12) = v18 & ssList(v12) = v15 & cons(v11, v12) = v16 & ( ~ (v15 = 0) | (( ~ (v17 = 0) | v12 = nil | (v18 = 0 & v14 = 0)) & (v17 = 0 | ( ~ (v12 = nil) & ( ~ (v18 = 0) | ~ (v14 = 0)))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (hd(v12) = v13) | ~ (leq(v11, v13) = v14) | ~ (ssItem(v11) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (totalorderedP(v16) = v17 & totalorderedP(v12) = v18 & ssList(v12) = v15 & cons(v11, v12) = v16 & ( ~ (v15 = 0) | (( ~ (v17 = 0) | v12 = nil | (v18 = 0 & v14 = 0)) & (v17 = 0 | ( ~ (v12 = nil) & ( ~ (v18 = 0) | ~ (v14 = 0)))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (strictorderP(v11) = 0) | ~ (lt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v11) = v15) | (lt(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v16 = 0 | v14 = 0 | ~ (ssList(v17) = 0) | ~ (cons(v13, v21) = v22) | ~ (cons(v12, v18) = v19) | ~ (app(v20, v22) = v11) | ~ (app(v17, v19) = v20) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (totalorderP(v11) = 0) | ~ (leq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v11) = v15) | (leq(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v16 = 0 | v14 = 0 | ~ (ssList(v17) = 0) | ~ (cons(v13, v21) = v22) | ~ (cons(v12, v18) = v19) | ~ (app(v20, v22) = v11) | ~ (app(v17, v19) = v20) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (cyclefreeP(v11) = 0) | ~ (leq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v11) = v15) | (leq(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (v16 = 0) | ~ (v14 = 0) | ~ (ssList(v17) = 0) | ~ (cons(v13, v21) = v22) | ~ (cons(v12, v18) = v19) | ~ (app(v20, v22) = v11) | ~ (app(v17, v19) = v20) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, nil) = v13) | ~ (app(v13, v11) = v14) | ? [v15] : ? [v16] : (cons(v12, v11) = v16 & ssItem(v12) = v15 & ( ~ (v15 = 0) | v16 = v14))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (lt(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (leq(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (ssList(v11) = 0) | ~ (neq(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (neq(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ( ~ (v14 = 0) & ssItem(v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (tl(v13) = v12) | ~ (tl(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (hd(v13) = v12) | ~ (hd(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (equalelemsP(v13) = v12) | ~ (equalelemsP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (duplicatefreeP(v13) = v12) | ~ (duplicatefreeP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (strictorderedP(v13) = v12) | ~ (strictorderedP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (totalorderedP(v13) = v12) | ~ (totalorderedP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (strictorderP(v13) = v12) | ~ (strictorderP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (totalorderP(v13) = v12) | ~ (totalorderP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (cyclefreeP(v13) = v12) | ~ (cyclefreeP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (singletonP(v13) = v12) | ~ (singletonP(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (ssList(v13) = v12) | ~ (ssList(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (ssItem(v13) = v12) | ~ (ssItem(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (singletonP(v11) = v12) | ~ (cons(v13, nil) = v11) | ? [v14] : (( ~ (v14 = 0) & ssList(v11) = v14) | ( ~ (v14 = 0) & ssItem(v13) = v14))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (gt(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (lt(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | v13 = 0) & ( ~ (v13 = 0) | v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (geq(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (leq(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | v13 = 0) & ( ~ (v13 = 0) | v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (lt(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (leq(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | v13 = 0 | v12 = v11) & ( ~ (v13 = 0) | (v15 = 0 & ~ (v12 = v11))))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = v13) | ? [v14] : ? [v15] : (tl(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = v11))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = v13) | ? [v14] : ? [v15] : (hd(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = v12))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = v13) | ? [v14] : ? [v15] : (ssList(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v11) = 0) | ~ (app(v11, v12) = v13) | ? [v14] : ? [v15] : (ssList(v13) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (geq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v13] : ? [v14] : (geq(v12, v11) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (leq(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v13] : ? [v14] : (leq(v12, v11) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (segmentP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : (segmentP(v12, v11) = v14 & ssList(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (rearsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : (rearsegP(v12, v11) = v14 & ssList(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (frontsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : (frontsegP(v12, v11) = v14 & ssList(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (app(v11, nil) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = v11 | ~ (app(nil, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = nil | ~ (ssList(v11) = 0) | ~ (app(v11, v12) = nil) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssItem(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (equalelemsP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v11 & v20 = 0 & v18 = 0 & v16 = 0 & v14 = 0 & ~ (v15 = v13) & ssList(v19) = 0 & ssList(v17) = 0 & cons(v15, v19) = v21 & cons(v13, v21) = v22 & app(v17, v22) = v11 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (duplicatefreeP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v11 & v24 = 0 & v20 = 0 & v18 = 0 & v16 = 0 & v15 = v13 & v14 = 0 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v13, v19) = v21 & app(v22, v25) = v11 & app(v17, v21) = v22 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (strictorderedP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v11 & v25 = 0 & v21 = 0 & v19 = 0 & v16 = 0 & v14 = 0 & ~ (v17 = 0) & lt(v13, v15) = v17 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v15, v24) = v26 & cons(v13, v20) = v22 & app(v23, v26) = v11 & app(v18, v22) = v23 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (totalorderedP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v11 & v25 = 0 & v21 = 0 & v19 = 0 & v16 = 0 & v14 = 0 & ~ (v17 = 0) & leq(v13, v15) = v17 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v15, v24) = v26 & cons(v13, v20) = v22 & app(v23, v26) = v11 & app(v18, v22) = v23 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (strictorderP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v11 & v26 = 0 & v22 = 0 & v20 = 0 & v16 = 0 & v14 = 0 & ~ (v18 = 0) & ~ (v17 = 0) & lt(v15, v13) = v18 & lt(v13, v15) = v17 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v15, v25) = v27 & cons(v13, v21) = v23 & app(v24, v27) = v11 & app(v19, v23) = v24 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (totalorderP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v11 & v26 = 0 & v22 = 0 & v20 = 0 & v16 = 0 & v14 = 0 & ~ (v18 = 0) & ~ (v17 = 0) & leq(v15, v13) = v18 & leq(v13, v15) = v17 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v15, v25) = v27 & cons(v13, v21) = v23 & app(v24, v27) = v11 & app(v19, v23) = v24 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (cyclefreeP(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v11 & v26 = 0 & v22 = 0 & v20 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & v14 = 0 & leq(v15, v13) = 0 & leq(v13, v15) = 0 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v15, v25) = v27 & cons(v13, v21) = v23 & app(v24, v27) = v11 & app(v19, v23) = v24 & ssItem(v15) = 0 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssItem(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (segmentP(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (segmentP(v11, nil) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (rearsegP(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (rearsegP(v11, nil) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (frontsegP(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (frontsegP(v11, nil) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v11] : ! [v12] : (v11 = nil | ~ (tl(v11) = v12) | ? [v13] : ? [v14] : (ssList(v12) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : (v11 = nil | ~ (tl(v11) = v12) | ? [v13] : ? [v14] : ((v14 = 0 & v13 = v12 & ssList(v12) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v11 = nil | ~ (hd(v11) = v12) | ? [v13] : ? [v14] : (ssList(v11) = v13 & ssItem(v12) = v14 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : (v11 = nil | ~ (hd(v11) = v12) | ? [v13] : ? [v14] : ((v14 = 0 & v13 = v12 & ssItem(v12) = 0) | ( ~ (v13 = 0) & ssList(v11) = v13))) & ! [v11] : ! [v12] : (v11 = nil | ~ (ssList(v11) = 0) | ~ (app(v11, v12) = nil) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v11] : ! [v12] : ( ~ (gt(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v13] : ? [v14] : (gt(v12, v11) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : ( ~ (tl(v11) = v12) | ? [v13] : ? [v14] : (hd(v11) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : (v15 = v11 | v15 = nil | v11 = nil | ~ (tl(v15) = v12) | ? [v16] : ? [v17] : (hd(v15) = v17 & ssList(v15) = v16 & ( ~ (v17 = v14) | ~ (v16 = 0))))))) & ! [v11] : ! [v12] : ( ~ (lt(v11, v12) = 0) | ~ (ssItem(v11) = 0) | ? [v13] : ? [v14] : (lt(v12, v11) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : ( ~ (segmentP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v18 = v11 & v17 = 0 & v14 = 0 & ssList(v16) = 0 & ssList(v13) = 0 & app(v15, v16) = v11 & app(v13, v12) = v15) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v11] : ! [v12] : ( ~ (rearsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v11 & v14 = 0 & ssList(v13) = 0 & app(v13, v12) = v11) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v11] : ! [v12] : ( ~ (frontsegP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v11 & v14 = 0 & ssList(v13) = 0 & app(v12, v13) = v11) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v11] : ! [v12] : ( ~ (memberP(v11, v12) = 0) | ~ (ssList(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v18 = v11 & v16 = 0 & v14 = 0 & ssList(v15) = 0 & ssList(v13) = 0 & cons(v12, v15) = v17 & app(v13, v17) = v11) | ( ~ (v13 = 0) & ssItem(v12) = v13))) & ! [v11] : ! [v12] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = v11) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v11] : ! [v12] : ( ~ (ssList(v11) = 0) | ~ (cons(v12, v11) = nil) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (equalelemsP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (duplicatefreeP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (strictorderedP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (totalorderedP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (strictorderP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (totalorderP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : ! [v12] : ( ~ (cons(v11, nil) = v12) | ? [v13] : ? [v14] : (cyclefreeP(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v11] : (v11 = nil | ~ (segmentP(nil, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v11] : (v11 = nil | ~ (rearsegP(nil, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v11] : (v11 = nil | ~ (frontsegP(nil, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v11] : (v11 = nil | ~ (ssList(v11) = 0) | ? [v12] : ? [v13] : (ssList(v12) = 0 & cons(v13, v12) = v11 & ssItem(v13) = 0)) & ! [v11] : (v11 = nil | ~ (app(nil, nil) = v11)) & ! [v11] : (v11 = 0 | ~ (segmentP(nil, nil) = v11)) & ! [v11] : (v11 = 0 | ~ (rearsegP(nil, nil) = v11)) & ! [v11] : (v11 = 0 | ~ (frontsegP(nil, nil) = v11)) & ! [v11] : ( ~ (lt(v11, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssItem(v11) = v12)) & ! [v11] : ( ~ (singletonP(v11) = 0) | ? [v12] : ? [v13] : ? [v14] : ((v14 = v11 & v13 = 0 & cons(v12, nil) = v11 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v11) = v12))) & ! [v11] : ( ~ (memberP(nil, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & ssItem(v11) = v12)) & ! [v11] : ( ~ (ssList(v11) = 0) | ~ (neq(v11, v11) = 0)) & ! [v11] : ( ~ (neq(v11, v11) = 0) | ~ (ssItem(v11) = 0)) & ( ~ (v1 = nil) | v3 = nil) & ((v4 = 0 & ( ~ (v5 = 0) | ~ (v2 = 0))) | (v3 = nil & ~ (v1 = nil))))
% 30.48/8.75 | 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 yields:
% 30.48/8.75 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_10_10 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(all_0_9_9) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & segmentP(all_0_7_7, all_0_9_9) = all_0_5_5 & singletonP(nil) = all_0_10_10 & ssList(all_0_2_2) = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & ssList(all_0_9_9) = 0 & ssList(nil) = 0 & app(all_0_3_3, all_0_2_2) = all_0_7_7 & app(all_0_4_4, all_0_9_9) = all_0_3_3 & neq(all_0_7_7, nil) = all_0_6_6 & neq(all_0_9_9, nil) = all_0_8_8 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v3, nil) = v4) | ~ (cons(v0, nil) = v1) | ~ (app(v2, v1) = all_0_4_4) | ? [v5] : ? [v6] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssItem(v0) = v5) | (lt(v0, v3) = v6 & ssItem(v3) = v5 & ( ~ (v5 = 0) | ! [v7] : ( ~ (v6 = 0) | ~ (app(v4, v7) = all_0_9_9) | ? [v8] : ( ~ (v8 = 0) & ssList(v7) = v8)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v3, nil) = v4) | ~ (cons(v0, nil) = v1) | ~ (app(v1, v2) = all_0_2_2) | ? [v5] : ? [v6] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssItem(v0) = v5) | (lt(v3, v0) = v6 & ssItem(v3) = v5 & ( ~ (v5 = 0) | ! [v7] : ( ~ (v6 = 0) | ~ (app(v7, v4) = all_0_9_9) | ? [v8] : ( ~ (v8 = 0) & ssList(v7) = v8)))))) & ! [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_9_9 = nil) | all_0_7_7 = nil) & ((all_0_6_6 = 0 & ( ~ (all_0_5_5 = 0) | ~ (all_0_8_8 = 0))) | (all_0_7_7 = nil & ~ (all_0_9_9 = nil)))
% 30.79/8.78 |
% 30.79/8.78 | Applying alpha-rule on (1) yields:
% 30.79/8.78 | (2) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.78 | (3) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.79/8.79 | (4) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 30.79/8.79 | (5) ! [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)))))
% 30.79/8.79 | (6) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 30.79/8.79 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 30.79/8.79 | (8) ! [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)))))))
% 30.79/8.79 | (9) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 30.79/8.79 | (10) ! [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))))))))
% 30.79/8.79 | (11) segmentP(all_0_7_7, all_0_9_9) = all_0_5_5
% 30.79/8.79 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v3, nil) = v4) | ~ (cons(v0, nil) = v1) | ~ (app(v1, v2) = all_0_2_2) | ? [v5] : ? [v6] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssItem(v0) = v5) | (lt(v3, v0) = v6 & ssItem(v3) = v5 & ( ~ (v5 = 0) | ! [v7] : ( ~ (v6 = 0) | ~ (app(v7, v4) = all_0_9_9) | ? [v8] : ( ~ (v8 = 0) & ssList(v7) = v8))))))
% 30.79/8.79 | (13) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 30.79/8.79 | (14) ! [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)))
% 30.79/8.79 | (15) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 30.79/8.79 | (16) ! [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)))
% 30.79/8.79 | (17) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 30.79/8.79 | (18) ! [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)))))
% 30.79/8.79 | (19) totalorderP(nil) = 0
% 30.79/8.79 | (20) ssList(all_0_7_7) = 0
% 30.79/8.79 | (21) ! [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)))))))
% 30.79/8.79 | (22) strictorderP(nil) = 0
% 30.79/8.79 | (23) ! [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)))
% 30.79/8.79 | (24) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 30.79/8.79 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 30.79/8.79 | (26) cyclefreeP(nil) = 0
% 30.79/8.79 | (27) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 30.79/8.79 | (28) ! [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)))
% 30.79/8.79 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 30.79/8.79 | (30) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 30.79/8.79 | (31) ! [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)))
% 30.79/8.79 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 30.79/8.79 | (33) ! [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)))
% 30.79/8.79 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 30.79/8.79 | (35) ! [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)))))))
% 30.79/8.79 | (36) neq(all_0_7_7, nil) = all_0_6_6
% 30.79/8.79 | (37) ! [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))))
% 30.79/8.79 | (38) ! [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)))))))
% 30.79/8.80 | (39) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.79/8.80 | (40) singletonP(nil) = all_0_10_10
% 30.79/8.80 | (41) ssList(all_0_2_2) = 0
% 30.79/8.80 | (42) app(all_0_4_4, all_0_9_9) = all_0_3_3
% 30.79/8.80 | (43) (all_0_6_6 = 0 & ( ~ (all_0_5_5 = 0) | ~ (all_0_8_8 = 0))) | (all_0_7_7 = nil & ~ (all_0_9_9 = nil))
% 30.79/8.80 | (44) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.79/8.80 | (45) ~ (all_0_10_10 = 0)
% 30.79/8.80 | (46) ! [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)))
% 30.79/8.80 | (47) ! [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)))
% 30.79/8.80 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 30.79/8.80 | (49) ssList(all_0_4_4) = 0
% 30.79/8.80 | (50) ! [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)))
% 30.79/8.80 | (51) ! [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)))))
% 30.79/8.80 | (52) ! [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)))
% 30.79/8.80 | (53) ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 30.79/8.80 | (54) totalorderedP(nil) = 0
% 30.79/8.80 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 30.79/8.80 | (56) ! [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)))
% 30.79/8.80 | (57) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 30.79/8.80 | (58) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 30.79/8.80 | (59) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.80 | (60) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 30.79/8.80 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 30.79/8.80 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 30.79/8.80 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 30.79/8.80 | (64) app(all_0_3_3, all_0_2_2) = all_0_7_7
% 30.79/8.80 | (65) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 30.79/8.80 | (66) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 30.79/8.80 | (67) ! [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))))))))
% 30.79/8.80 | (68) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.80 | (69) ! [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)))
% 30.79/8.80 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 30.79/8.80 | (71) ! [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)))))
% 30.79/8.80 | (72) equalelemsP(nil) = 0
% 30.79/8.80 | (73) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.80 | (74) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 30.79/8.80 | (75) neq(all_0_9_9, nil) = all_0_8_8
% 30.79/8.80 | (76) ! [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)))
% 30.79/8.80 | (77) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.80 | (78) ~ (all_0_9_9 = nil) | all_0_7_7 = nil
% 30.79/8.80 | (79) ! [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)))))))
% 30.79/8.81 | (80) ! [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)))))))
% 30.79/8.81 | (81) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 30.79/8.81 | (82) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 30.79/8.81 | (83) ! [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)))
% 30.79/8.81 | (84) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.79/8.81 | (85) strictorderedP(nil) = 0
% 30.79/8.81 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 30.79/8.81 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 30.79/8.81 | (88) ~ (all_0_0_0 = all_0_1_1)
% 30.79/8.81 | (89) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 30.79/8.81 | (90) ssItem(all_0_0_0) = 0
% 30.79/8.81 | (91) ! [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)))
% 30.79/8.81 | (92) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.81 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 30.79/8.81 | (94) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 30.79/8.81 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 30.79/8.81 | (96) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 30.79/8.81 | (97) ! [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)))
% 30.79/8.81 | (98) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 30.79/8.81 | (99) ! [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)))
% 30.79/8.81 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 30.79/8.81 | (101) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.81 | (102) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 30.79/8.81 | (103) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.79/8.81 | (104) ! [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)))))
% 30.79/8.81 | (105) ! [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)))
% 30.79/8.81 | (106) ! [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)))))
% 30.79/8.81 | (107) ! [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))))))))
% 30.79/8.81 | (108) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 30.79/8.81 | (109) duplicatefreeP(nil) = 0
% 30.79/8.81 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 30.79/8.81 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 30.79/8.81 | (112) ! [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)))
% 30.79/8.81 | (113) ssItem(all_0_1_1) = 0
% 30.79/8.81 | (114) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 30.79/8.81 | (115) ! [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)))))
% 30.79/8.81 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 30.79/8.81 | (117) ssList(all_0_9_9) = 0
% 30.79/8.81 | (118) ! [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)))
% 30.79/8.82 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 30.79/8.82 | (120) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.79/8.82 | (121) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.82 | (122) ! [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))))
% 30.79/8.82 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 30.79/8.82 | (124) ! [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)))
% 30.79/8.82 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 30.79/8.82 | (126) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.79/8.82 | (127) ! [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)))))
% 30.79/8.82 | (128) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 30.79/8.82 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v3, nil) = v4) | ~ (cons(v0, nil) = v1) | ~ (app(v2, v1) = all_0_4_4) | ? [v5] : ? [v6] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssItem(v0) = v5) | (lt(v0, v3) = v6 & ssItem(v3) = v5 & ( ~ (v5 = 0) | ! [v7] : ( ~ (v6 = 0) | ~ (app(v4, v7) = all_0_9_9) | ? [v8] : ( ~ (v8 = 0) & ssList(v7) = v8))))))
% 30.79/8.82 | (130) ! [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)))))
% 30.79/8.82 | (131) ! [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)))
% 30.79/8.82 | (132) ! [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))))
% 30.79/8.82 | (133) ! [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)))))
% 30.79/8.82 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 30.79/8.82 | (135) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.79/8.82 | (136) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.79/8.82 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4))))
% 30.79/8.82 | (138) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.79/8.82 | (139) ! [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)))
% 30.79/8.82 | (140) ! [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)))))))
% 30.79/8.82 | (141) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 30.79/8.82 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 30.79/8.82 | (143) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 30.79/8.82 | (144) ! [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)))
% 30.79/8.82 | (145) ! [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)))
% 30.79/8.82 | (146) ! [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)))
% 30.79/8.82 | (147) ssList(nil) = 0
% 30.79/8.82 | (148) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.79/8.82 | (149) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 30.79/8.82 | (150) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.79/8.82 | (151) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.79/8.82 | (152) ! [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))))
% 30.79/8.83 | (153) strictorderedP(all_0_9_9) = 0
% 30.79/8.83 | (154) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.79/8.83 | (155) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.79/8.83 | (156) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (86) with all_0_9_9, nil, all_0_8_8, all_0_6_6 and discharging atoms neq(all_0_9_9, nil) = all_0_8_8, yields:
% 30.79/8.83 | (157) all_0_6_6 = all_0_8_8 | ~ (neq(all_0_9_9, nil) = all_0_6_6)
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (65) with all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 30.79/8.83 | (158) all_0_9_9 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_9_9 & ssItem(v1) = 0)
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (144) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_9_9, all_0_7_7 and discharging atoms segmentP(all_0_7_7, all_0_9_9) = all_0_5_5, ssList(all_0_7_7) = 0, app(all_0_3_3, all_0_2_2) = all_0_7_7, app(all_0_4_4, all_0_9_9) = all_0_3_3, yields:
% 30.79/8.83 | (159) all_0_5_5 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(all_0_2_2) = v0) | ( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_9_9) = v0))
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (32) with all_0_3_3, all_0_9_9, all_0_4_4 and discharging atoms ssList(all_0_4_4) = 0, app(all_0_4_4, all_0_9_9) = all_0_3_3, yields:
% 30.79/8.83 | (160) ? [v0] : ? [v1] : (ssList(all_0_3_3) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (152) with all_0_7_7, all_0_2_2, all_0_3_3, all_0_9_9, all_0_4_4 and discharging atoms ssList(all_0_4_4) = 0, app(all_0_3_3, all_0_2_2) = all_0_7_7, app(all_0_4_4, all_0_9_9) = all_0_3_3, yields:
% 30.79/8.83 | (161) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (ssList(all_0_2_2) = v0 & app(all_0_4_4, v1) = v2 & app(all_0_9_9, all_0_2_2) = v1 & ( ~ (v0 = 0) | v2 = all_0_7_7)))
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (57) with all_0_9_9, all_0_4_4 and discharging atoms ssList(all_0_4_4) = 0, yields:
% 30.79/8.83 | (162) all_0_9_9 = nil | ~ (app(all_0_4_4, all_0_9_9) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0)
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (102) with all_0_8_8, nil, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, neq(all_0_9_9, nil) = all_0_8_8, yields:
% 30.79/8.83 | (163) all_0_8_8 = 0 | all_0_9_9 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 30.79/8.83 |
% 30.79/8.83 | Instantiating (161) with all_8_0_11, all_8_1_12, all_8_2_13 yields:
% 30.79/8.83 | (164) ( ~ (all_8_2_13 = 0) & ssList(all_0_9_9) = all_8_2_13) | (ssList(all_0_2_2) = all_8_2_13 & app(all_0_4_4, all_8_1_12) = all_8_0_11 & app(all_0_9_9, all_0_2_2) = all_8_1_12 & ( ~ (all_8_2_13 = 0) | all_8_0_11 = all_0_7_7))
% 30.79/8.83 |
% 30.79/8.83 | Instantiating (160) with all_9_0_14, all_9_1_15 yields:
% 30.79/8.83 | (165) ssList(all_0_3_3) = all_9_0_14 & ssList(all_0_9_9) = all_9_1_15 & ( ~ (all_9_1_15 = 0) | all_9_0_14 = 0)
% 30.79/8.83 |
% 30.79/8.83 | Applying alpha-rule on (165) yields:
% 30.79/8.83 | (166) ssList(all_0_3_3) = all_9_0_14
% 30.79/8.83 | (167) ssList(all_0_9_9) = all_9_1_15
% 30.79/8.83 | (168) ~ (all_9_1_15 = 0) | all_9_0_14 = 0
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (25) with all_0_9_9, all_9_0_14, 0 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 30.79/8.83 | (169) all_9_0_14 = 0 | ~ (ssList(all_0_9_9) = all_9_0_14)
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (25) with all_0_9_9, all_9_1_15, 0 and discharging atoms ssList(all_0_9_9) = all_9_1_15, ssList(all_0_9_9) = 0, yields:
% 30.79/8.83 | (170) all_9_1_15 = 0
% 30.79/8.83 |
% 30.79/8.83 | From (170) and (167) follows:
% 30.79/8.83 | (117) ssList(all_0_9_9) = 0
% 30.79/8.83 |
% 30.79/8.83 +-Applying beta-rule and splitting (164), into two cases.
% 30.79/8.83 |-Branch one:
% 30.79/8.83 | (172) ~ (all_8_2_13 = 0) & ssList(all_0_9_9) = all_8_2_13
% 30.79/8.83 |
% 30.79/8.83 | Applying alpha-rule on (172) yields:
% 30.79/8.83 | (173) ~ (all_8_2_13 = 0)
% 30.79/8.83 | (174) ssList(all_0_9_9) = all_8_2_13
% 30.79/8.83 |
% 30.79/8.83 +-Applying beta-rule and splitting (169), into two cases.
% 30.79/8.83 |-Branch one:
% 30.79/8.83 | (175) ~ (ssList(all_0_9_9) = all_9_0_14)
% 30.79/8.83 |
% 30.79/8.83 +-Applying beta-rule and splitting (168), into two cases.
% 30.79/8.83 |-Branch one:
% 30.79/8.83 | (176) ~ (all_9_1_15 = 0)
% 30.79/8.83 |
% 30.79/8.83 | Equations (170) can reduce 176 to:
% 30.79/8.83 | (177) $false
% 30.79/8.83 |
% 30.79/8.83 |-The branch is then unsatisfiable
% 30.79/8.83 |-Branch two:
% 30.79/8.83 | (170) all_9_1_15 = 0
% 30.79/8.83 | (179) all_9_0_14 = 0
% 30.79/8.83 |
% 30.79/8.83 | From (179) and (175) follows:
% 30.79/8.83 | (180) ~ (ssList(all_0_9_9) = 0)
% 30.79/8.83 |
% 30.79/8.83 | Using (117) and (180) yields:
% 30.79/8.83 | (181) $false
% 30.79/8.83 |
% 30.79/8.83 |-The branch is then unsatisfiable
% 30.79/8.83 |-Branch two:
% 30.79/8.83 | (182) ssList(all_0_9_9) = all_9_0_14
% 30.79/8.83 | (179) all_9_0_14 = 0
% 30.79/8.83 |
% 30.79/8.83 | From (179) and (182) follows:
% 30.79/8.83 | (117) ssList(all_0_9_9) = 0
% 30.79/8.83 |
% 30.79/8.83 | Instantiating formula (25) with all_0_9_9, all_8_2_13, 0 and discharging atoms ssList(all_0_9_9) = all_8_2_13, ssList(all_0_9_9) = 0, yields:
% 30.79/8.83 | (185) all_8_2_13 = 0
% 30.79/8.83 |
% 30.79/8.83 | Equations (185) can reduce 173 to:
% 30.79/8.83 | (177) $false
% 30.79/8.83 |
% 30.79/8.83 |-The branch is then unsatisfiable
% 30.79/8.83 |-Branch two:
% 30.79/8.83 | (187) ssList(all_0_2_2) = all_8_2_13 & app(all_0_4_4, all_8_1_12) = all_8_0_11 & app(all_0_9_9, all_0_2_2) = all_8_1_12 & ( ~ (all_8_2_13 = 0) | all_8_0_11 = all_0_7_7)
% 30.79/8.83 |
% 30.79/8.83 | Applying alpha-rule on (187) yields:
% 30.79/8.83 | (188) ssList(all_0_2_2) = all_8_2_13
% 30.79/8.83 | (189) app(all_0_4_4, all_8_1_12) = all_8_0_11
% 30.79/8.83 | (190) app(all_0_9_9, all_0_2_2) = all_8_1_12
% 30.79/8.83 | (191) ~ (all_8_2_13 = 0) | all_8_0_11 = all_0_7_7
% 30.79/8.83 |
% 30.79/8.83 +-Applying beta-rule and splitting (168), into two cases.
% 30.79/8.83 |-Branch one:
% 30.79/8.83 | (176) ~ (all_9_1_15 = 0)
% 30.79/8.83 |
% 30.79/8.83 | Equations (170) can reduce 176 to:
% 30.79/8.83 | (177) $false
% 30.79/8.83 |
% 30.79/8.83 |-The branch is then unsatisfiable
% 30.79/8.83 |-Branch two:
% 30.79/8.83 | (170) all_9_1_15 = 0
% 30.79/8.83 | (179) all_9_0_14 = 0
% 30.79/8.83 |
% 30.79/8.83 | From (179) and (166) follows:
% 30.79/8.83 | (196) ssList(all_0_3_3) = 0
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (25) with all_0_2_2, all_8_2_13, 0 and discharging atoms ssList(all_0_2_2) = all_8_2_13, ssList(all_0_2_2) = 0, yields:
% 30.79/8.84 | (185) all_8_2_13 = 0
% 30.79/8.84 |
% 30.79/8.84 | From (185) and (188) follows:
% 30.79/8.84 | (41) ssList(all_0_2_2) = 0
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (159), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (199) all_0_5_5 = 0
% 30.79/8.84 |
% 30.79/8.84 | From (199) and (11) follows:
% 30.79/8.84 | (200) segmentP(all_0_7_7, all_0_9_9) = 0
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (156) with all_0_9_9, all_0_7_7 and discharging atoms segmentP(all_0_7_7, all_0_9_9) = 0, ssList(all_0_7_7) = 0, yields:
% 30.79/8.84 | (201) all_0_7_7 = all_0_9_9 | ? [v0] : ? [v1] : (segmentP(all_0_9_9, all_0_7_7) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (99) with all_0_9_9, all_0_7_7 and discharging atoms segmentP(all_0_7_7, all_0_9_9) = 0, ssList(all_0_7_7) = 0, yields:
% 30.79/8.84 | (202) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = all_0_7_7 & v4 = 0 & v1 = 0 & ssList(v3) = 0 & ssList(v0) = 0 & app(v2, v3) = all_0_7_7 & app(v0, all_0_9_9) = v2) | ( ~ (v0 = 0) & ssList(all_0_9_9) = v0))
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (74) with all_0_2_2, all_0_3_3 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 30.79/8.84 | (203) all_0_3_3 = nil | ~ (app(all_0_3_3, all_0_2_2) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_2_2) = v0)
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (32) with all_8_1_12, all_0_2_2, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, app(all_0_9_9, all_0_2_2) = all_8_1_12, yields:
% 30.79/8.84 | (204) ? [v0] : ? [v1] : (ssList(all_8_1_12) = v1 & ssList(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 30.79/8.84 |
% 30.79/8.84 | Instantiating (204) with all_40_0_16, all_40_1_17 yields:
% 30.79/8.84 | (205) ssList(all_8_1_12) = all_40_0_16 & ssList(all_0_2_2) = all_40_1_17 & ( ~ (all_40_1_17 = 0) | all_40_0_16 = 0)
% 30.79/8.84 |
% 30.79/8.84 | Applying alpha-rule on (205) yields:
% 30.79/8.84 | (206) ssList(all_8_1_12) = all_40_0_16
% 30.79/8.84 | (207) ssList(all_0_2_2) = all_40_1_17
% 30.79/8.84 | (208) ~ (all_40_1_17 = 0) | all_40_0_16 = 0
% 30.79/8.84 |
% 30.79/8.84 | Instantiating (202) with all_44_0_20, all_44_1_21, all_44_2_22, all_44_3_23, all_44_4_24, all_44_5_25 yields:
% 30.79/8.84 | (209) (all_44_0_20 = all_0_7_7 & all_44_1_21 = 0 & all_44_4_24 = 0 & ssList(all_44_2_22) = 0 & ssList(all_44_5_25) = 0 & app(all_44_3_23, all_44_2_22) = all_0_7_7 & app(all_44_5_25, all_0_9_9) = all_44_3_23) | ( ~ (all_44_5_25 = 0) & ssList(all_0_9_9) = all_44_5_25)
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (209), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (210) all_44_0_20 = all_0_7_7 & all_44_1_21 = 0 & all_44_4_24 = 0 & ssList(all_44_2_22) = 0 & ssList(all_44_5_25) = 0 & app(all_44_3_23, all_44_2_22) = all_0_7_7 & app(all_44_5_25, all_0_9_9) = all_44_3_23
% 30.79/8.84 |
% 30.79/8.84 | Applying alpha-rule on (210) yields:
% 30.79/8.84 | (211) app(all_44_3_23, all_44_2_22) = all_0_7_7
% 30.79/8.84 | (212) all_44_0_20 = all_0_7_7
% 30.79/8.84 | (213) all_44_4_24 = 0
% 30.79/8.84 | (214) ssList(all_44_5_25) = 0
% 30.79/8.84 | (215) app(all_44_5_25, all_0_9_9) = all_44_3_23
% 30.79/8.84 | (216) all_44_1_21 = 0
% 30.79/8.84 | (217) ssList(all_44_2_22) = 0
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (25) with all_0_2_2, all_40_1_17, 0 and discharging atoms ssList(all_0_2_2) = all_40_1_17, ssList(all_0_2_2) = 0, yields:
% 30.79/8.84 | (218) all_40_1_17 = 0
% 30.79/8.84 |
% 30.79/8.84 | From (218) and (207) follows:
% 30.79/8.84 | (41) ssList(all_0_2_2) = 0
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (32) with all_44_3_23, all_0_9_9, all_44_5_25 and discharging atoms ssList(all_44_5_25) = 0, app(all_44_5_25, all_0_9_9) = all_44_3_23, yields:
% 30.79/8.84 | (220) ? [v0] : ? [v1] : (ssList(all_44_3_23) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 30.79/8.84 |
% 30.79/8.84 | Instantiating (220) with all_63_0_29, all_63_1_30 yields:
% 30.79/8.84 | (221) ssList(all_44_3_23) = all_63_0_29 & ssList(all_0_9_9) = all_63_1_30 & ( ~ (all_63_1_30 = 0) | all_63_0_29 = 0)
% 30.79/8.84 |
% 30.79/8.84 | Applying alpha-rule on (221) yields:
% 30.79/8.84 | (222) ssList(all_44_3_23) = all_63_0_29
% 30.79/8.84 | (223) ssList(all_0_9_9) = all_63_1_30
% 30.79/8.84 | (224) ~ (all_63_1_30 = 0) | all_63_0_29 = 0
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (25) with all_0_9_9, all_63_1_30, 0 and discharging atoms ssList(all_0_9_9) = all_63_1_30, ssList(all_0_9_9) = 0, yields:
% 30.79/8.84 | (225) all_63_1_30 = 0
% 30.79/8.84 |
% 30.79/8.84 | From (225) and (223) follows:
% 30.79/8.84 | (117) ssList(all_0_9_9) = 0
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (43), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (227) all_0_6_6 = 0 & ( ~ (all_0_5_5 = 0) | ~ (all_0_8_8 = 0))
% 30.79/8.84 |
% 30.79/8.84 | Applying alpha-rule on (227) yields:
% 30.79/8.84 | (228) all_0_6_6 = 0
% 30.79/8.84 | (229) ~ (all_0_5_5 = 0) | ~ (all_0_8_8 = 0)
% 30.79/8.84 |
% 30.79/8.84 | From (228) and (36) follows:
% 30.79/8.84 | (230) neq(all_0_7_7, nil) = 0
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (229), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (231) ~ (all_0_5_5 = 0)
% 30.79/8.84 |
% 30.79/8.84 | Equations (199) can reduce 231 to:
% 30.79/8.84 | (177) $false
% 30.79/8.84 |
% 30.79/8.84 |-The branch is then unsatisfiable
% 30.79/8.84 |-Branch two:
% 30.79/8.84 | (199) all_0_5_5 = 0
% 30.79/8.84 | (234) ~ (all_0_8_8 = 0)
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (163), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (235) all_0_9_9 = nil
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (78), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (236) ~ (all_0_9_9 = nil)
% 30.79/8.84 |
% 30.79/8.84 | Equations (235) can reduce 236 to:
% 30.79/8.84 | (177) $false
% 30.79/8.84 |
% 30.79/8.84 |-The branch is then unsatisfiable
% 30.79/8.84 |-Branch two:
% 30.79/8.84 | (235) all_0_9_9 = nil
% 30.79/8.84 | (239) all_0_7_7 = nil
% 30.79/8.84 |
% 30.79/8.84 | From (239) and (230) follows:
% 30.79/8.84 | (240) neq(nil, nil) = 0
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (157), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (241) ~ (neq(all_0_9_9, nil) = all_0_6_6)
% 30.79/8.84 |
% 30.79/8.84 | From (235)(228) and (241) follows:
% 30.79/8.84 | (242) ~ (neq(nil, nil) = 0)
% 30.79/8.84 |
% 30.79/8.84 | Using (240) and (242) yields:
% 30.79/8.84 | (181) $false
% 30.79/8.84 |
% 30.79/8.84 |-The branch is then unsatisfiable
% 30.79/8.84 |-Branch two:
% 30.79/8.84 | (244) neq(all_0_9_9, nil) = all_0_6_6
% 30.79/8.84 | (245) all_0_6_6 = all_0_8_8
% 30.79/8.84 |
% 30.79/8.84 | Combining equations (228,245) yields a new equation:
% 30.79/8.84 | (246) all_0_8_8 = 0
% 30.79/8.84 |
% 30.79/8.84 | Equations (246) can reduce 234 to:
% 30.79/8.84 | (177) $false
% 30.79/8.84 |
% 30.79/8.84 |-The branch is then unsatisfiable
% 30.79/8.84 |-Branch two:
% 30.79/8.84 | (236) ~ (all_0_9_9 = nil)
% 30.79/8.84 | (249) all_0_8_8 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (249), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (246) all_0_8_8 = 0
% 30.79/8.84 |
% 30.79/8.84 | Equations (246) can reduce 234 to:
% 30.79/8.84 | (177) $false
% 30.79/8.84 |
% 30.79/8.84 |-The branch is then unsatisfiable
% 30.79/8.84 |-Branch two:
% 30.79/8.84 | (234) ~ (all_0_8_8 = 0)
% 30.79/8.84 | (253) ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 30.79/8.84 |
% 30.79/8.84 | Instantiating (253) with all_129_0_35 yields:
% 30.79/8.84 | (254) ~ (all_129_0_35 = 0) & ssList(nil) = all_129_0_35
% 30.79/8.84 |
% 30.79/8.84 | Applying alpha-rule on (254) yields:
% 30.79/8.84 | (255) ~ (all_129_0_35 = 0)
% 30.79/8.84 | (256) ssList(nil) = all_129_0_35
% 30.79/8.84 |
% 30.79/8.84 | Instantiating formula (25) with nil, all_129_0_35, 0 and discharging atoms ssList(nil) = all_129_0_35, ssList(nil) = 0, yields:
% 30.79/8.84 | (257) all_129_0_35 = 0
% 30.79/8.84 |
% 30.79/8.84 | Equations (257) can reduce 255 to:
% 30.79/8.84 | (177) $false
% 30.79/8.84 |
% 30.79/8.84 |-The branch is then unsatisfiable
% 30.79/8.84 |-Branch two:
% 30.79/8.84 | (259) all_0_7_7 = nil & ~ (all_0_9_9 = nil)
% 30.79/8.84 |
% 30.79/8.84 | Applying alpha-rule on (259) yields:
% 30.79/8.84 | (239) all_0_7_7 = nil
% 30.79/8.84 | (236) ~ (all_0_9_9 = nil)
% 30.79/8.84 |
% 30.79/8.84 | From (239) and (64) follows:
% 30.79/8.84 | (262) app(all_0_3_3, all_0_2_2) = nil
% 30.79/8.84 |
% 30.79/8.84 +-Applying beta-rule and splitting (203), into two cases.
% 30.79/8.84 |-Branch one:
% 30.79/8.84 | (263) ~ (app(all_0_3_3, all_0_2_2) = nil)
% 30.79/8.84 |
% 30.79/8.84 | Using (262) and (263) yields:
% 30.79/8.84 | (181) $false
% 30.79/8.84 |
% 30.79/8.84 |-The branch is then unsatisfiable
% 30.79/8.84 |-Branch two:
% 30.79/8.84 | (262) app(all_0_3_3, all_0_2_2) = nil
% 30.79/8.84 | (266) all_0_3_3 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_2_2) = v0)
% 30.79/8.85 |
% 30.79/8.85 +-Applying beta-rule and splitting (266), into two cases.
% 30.79/8.85 |-Branch one:
% 30.79/8.85 | (267) all_0_3_3 = nil
% 30.79/8.85 |
% 30.79/8.85 | From (267) and (42) follows:
% 30.79/8.85 | (268) app(all_0_4_4, all_0_9_9) = nil
% 30.79/8.85 |
% 30.79/8.85 +-Applying beta-rule and splitting (162), into two cases.
% 30.79/8.85 |-Branch one:
% 30.79/8.85 | (269) ~ (app(all_0_4_4, all_0_9_9) = nil)
% 30.79/8.85 |
% 30.79/8.85 | Using (268) and (269) yields:
% 30.79/8.85 | (181) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (268) app(all_0_4_4, all_0_9_9) = nil
% 30.79/8.85 | (272) all_0_9_9 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0)
% 30.79/8.85 |
% 30.79/8.85 +-Applying beta-rule and splitting (158), into two cases.
% 30.79/8.85 |-Branch one:
% 30.79/8.85 | (235) all_0_9_9 = nil
% 30.79/8.85 |
% 30.79/8.85 | Equations (235) can reduce 236 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (236) ~ (all_0_9_9 = nil)
% 30.79/8.85 | (276) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_9_9 & ssItem(v1) = 0)
% 30.79/8.85 |
% 30.79/8.85 +-Applying beta-rule and splitting (272), into two cases.
% 30.79/8.85 |-Branch one:
% 30.79/8.85 | (235) all_0_9_9 = nil
% 30.79/8.85 |
% 30.79/8.85 | Equations (235) can reduce 236 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (236) ~ (all_0_9_9 = nil)
% 30.79/8.85 | (280) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0)
% 30.79/8.85 |
% 30.79/8.85 | Instantiating (280) with all_150_0_40 yields:
% 30.79/8.85 | (281) ~ (all_150_0_40 = 0) & ssList(all_0_9_9) = all_150_0_40
% 30.79/8.85 |
% 30.79/8.85 | Applying alpha-rule on (281) yields:
% 30.79/8.85 | (282) ~ (all_150_0_40 = 0)
% 30.79/8.85 | (283) ssList(all_0_9_9) = all_150_0_40
% 30.79/8.85 |
% 30.79/8.85 +-Applying beta-rule and splitting (163), into two cases.
% 30.79/8.85 |-Branch one:
% 30.79/8.85 | (235) all_0_9_9 = nil
% 30.79/8.85 |
% 30.79/8.85 | Equations (235) can reduce 236 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (236) ~ (all_0_9_9 = nil)
% 30.79/8.85 | (249) all_0_8_8 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 30.79/8.85 |
% 30.79/8.85 +-Applying beta-rule and splitting (201), into two cases.
% 30.79/8.85 |-Branch one:
% 30.79/8.85 | (288) all_0_7_7 = all_0_9_9
% 30.79/8.85 |
% 30.79/8.85 | Combining equations (239,288) yields a new equation:
% 30.79/8.85 | (235) all_0_9_9 = nil
% 30.79/8.85 |
% 30.79/8.85 | Equations (235) can reduce 236 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (291) ~ (all_0_7_7 = all_0_9_9)
% 30.79/8.85 | (292) ? [v0] : ? [v1] : (segmentP(all_0_9_9, all_0_7_7) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 30.79/8.85 |
% 30.79/8.85 | Instantiating (292) with all_280_0_162, all_280_1_163 yields:
% 30.79/8.85 | (293) segmentP(all_0_9_9, all_0_7_7) = all_280_0_162 & ssList(all_0_9_9) = all_280_1_163 & ( ~ (all_280_0_162 = 0) | ~ (all_280_1_163 = 0))
% 30.79/8.85 |
% 30.79/8.85 | Applying alpha-rule on (293) yields:
% 30.79/8.85 | (294) segmentP(all_0_9_9, all_0_7_7) = all_280_0_162
% 30.79/8.85 | (295) ssList(all_0_9_9) = all_280_1_163
% 30.79/8.85 | (296) ~ (all_280_0_162 = 0) | ~ (all_280_1_163 = 0)
% 30.79/8.85 |
% 30.79/8.85 | Instantiating formula (25) with all_0_9_9, all_280_1_163, 0 and discharging atoms ssList(all_0_9_9) = all_280_1_163, ssList(all_0_9_9) = 0, yields:
% 30.79/8.85 | (297) all_280_1_163 = 0
% 30.79/8.85 |
% 30.79/8.85 | Instantiating formula (25) with all_0_9_9, all_150_0_40, all_280_1_163 and discharging atoms ssList(all_0_9_9) = all_280_1_163, ssList(all_0_9_9) = all_150_0_40, yields:
% 30.79/8.85 | (298) all_280_1_163 = all_150_0_40
% 30.79/8.85 |
% 30.79/8.85 | Combining equations (297,298) yields a new equation:
% 30.79/8.85 | (299) all_150_0_40 = 0
% 30.79/8.85 |
% 30.79/8.85 | Equations (299) can reduce 282 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (301) ~ (all_0_3_3 = nil)
% 30.79/8.85 | (302) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_2_2) = v0)
% 30.79/8.85 |
% 30.79/8.85 | Instantiating (302) with all_121_0_185 yields:
% 30.79/8.85 | (303) ~ (all_121_0_185 = 0) & ssList(all_0_2_2) = all_121_0_185
% 30.79/8.85 |
% 30.79/8.85 | Applying alpha-rule on (303) yields:
% 30.79/8.85 | (304) ~ (all_121_0_185 = 0)
% 30.79/8.85 | (305) ssList(all_0_2_2) = all_121_0_185
% 30.79/8.85 |
% 30.79/8.85 | Instantiating formula (25) with all_0_2_2, all_121_0_185, 0 and discharging atoms ssList(all_0_2_2) = all_121_0_185, ssList(all_0_2_2) = 0, yields:
% 30.79/8.85 | (306) all_121_0_185 = 0
% 30.79/8.85 |
% 30.79/8.85 | Equations (306) can reduce 304 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (308) ~ (all_44_5_25 = 0) & ssList(all_0_9_9) = all_44_5_25
% 30.79/8.85 |
% 30.79/8.85 | Applying alpha-rule on (308) yields:
% 30.79/8.85 | (309) ~ (all_44_5_25 = 0)
% 30.79/8.85 | (310) ssList(all_0_9_9) = all_44_5_25
% 30.79/8.85 |
% 30.79/8.85 | Instantiating formula (25) with all_0_9_9, all_44_5_25, 0 and discharging atoms ssList(all_0_9_9) = all_44_5_25, ssList(all_0_9_9) = 0, yields:
% 30.79/8.85 | (311) all_44_5_25 = 0
% 30.79/8.85 |
% 30.79/8.85 | Equations (311) can reduce 309 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (231) ~ (all_0_5_5 = 0)
% 30.79/8.85 | (314) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_2_2) = v0) | ( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_9_9) = v0))
% 30.79/8.85 |
% 30.79/8.85 | Instantiating (314) with all_31_0_276 yields:
% 30.79/8.85 | (315) ( ~ (all_31_0_276 = 0) & ssList(all_0_2_2) = all_31_0_276) | ( ~ (all_31_0_276 = 0) & ssList(all_0_4_4) = all_31_0_276) | ( ~ (all_31_0_276 = 0) & ssList(all_0_9_9) = all_31_0_276)
% 30.79/8.85 |
% 30.79/8.85 +-Applying beta-rule and splitting (315), into two cases.
% 30.79/8.85 |-Branch one:
% 30.79/8.85 | (316) ( ~ (all_31_0_276 = 0) & ssList(all_0_2_2) = all_31_0_276) | ( ~ (all_31_0_276 = 0) & ssList(all_0_4_4) = all_31_0_276)
% 30.79/8.85 |
% 30.79/8.85 +-Applying beta-rule and splitting (316), into two cases.
% 30.79/8.85 |-Branch one:
% 30.79/8.85 | (317) ~ (all_31_0_276 = 0) & ssList(all_0_2_2) = all_31_0_276
% 30.79/8.85 |
% 30.79/8.85 | Applying alpha-rule on (317) yields:
% 30.79/8.85 | (318) ~ (all_31_0_276 = 0)
% 30.79/8.85 | (319) ssList(all_0_2_2) = all_31_0_276
% 30.79/8.85 |
% 30.79/8.85 | Instantiating formula (25) with all_0_2_2, all_31_0_276, 0 and discharging atoms ssList(all_0_2_2) = all_31_0_276, ssList(all_0_2_2) = 0, yields:
% 30.79/8.85 | (320) all_31_0_276 = 0
% 30.79/8.85 |
% 30.79/8.85 | Equations (320) can reduce 318 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (322) ~ (all_31_0_276 = 0) & ssList(all_0_4_4) = all_31_0_276
% 30.79/8.85 |
% 30.79/8.85 | Applying alpha-rule on (322) yields:
% 30.79/8.85 | (318) ~ (all_31_0_276 = 0)
% 30.79/8.85 | (324) ssList(all_0_4_4) = all_31_0_276
% 30.79/8.85 |
% 30.79/8.85 | Instantiating formula (25) with all_0_4_4, all_31_0_276, 0 and discharging atoms ssList(all_0_4_4) = all_31_0_276, ssList(all_0_4_4) = 0, yields:
% 30.79/8.85 | (320) all_31_0_276 = 0
% 30.79/8.85 |
% 30.79/8.85 | Equations (320) can reduce 318 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 |-Branch two:
% 30.79/8.85 | (327) ~ (all_31_0_276 = 0) & ssList(all_0_9_9) = all_31_0_276
% 30.79/8.85 |
% 30.79/8.85 | Applying alpha-rule on (327) yields:
% 30.79/8.85 | (318) ~ (all_31_0_276 = 0)
% 30.79/8.85 | (329) ssList(all_0_9_9) = all_31_0_276
% 30.79/8.85 |
% 30.79/8.85 | Instantiating formula (25) with all_0_9_9, all_31_0_276, 0 and discharging atoms ssList(all_0_9_9) = all_31_0_276, ssList(all_0_9_9) = 0, yields:
% 30.79/8.85 | (320) all_31_0_276 = 0
% 30.79/8.85 |
% 30.79/8.85 | Equations (320) can reduce 318 to:
% 30.79/8.85 | (177) $false
% 30.79/8.85 |
% 30.79/8.85 |-The branch is then unsatisfiable
% 30.79/8.85 % SZS output end Proof for theBenchmark
% 30.79/8.85
% 30.79/8.85 8274ms
%------------------------------------------------------------------------------