TSTP Solution File: SWC198+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC198+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 20:16:46 EDT 2022
% Result : Theorem 20.02s 7.22s
% Output : Proof 34.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC198+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 12 23:59:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.51/0.58 ____ _
% 0.51/0.58 ___ / __ \_____(_)___ ________ __________
% 0.51/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.58
% 0.51/0.58 A Theorem Prover for First-Order Logic
% 0.51/0.58 (ePrincess v.1.0)
% 0.51/0.58
% 0.51/0.58 (c) Philipp Rümmer, 2009-2015
% 0.51/0.58 (c) Peter Backeman, 2014-2015
% 0.51/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.58 Bug reports to peter@backeman.se
% 0.51/0.58
% 0.51/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.58
% 0.51/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.75/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.39/1.09 Prover 0: Preprocessing ...
% 5.06/1.73 Prover 0: Constructing countermodel ...
% 14.53/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 15.10/6.09 Prover 1: Preprocessing ...
% 16.42/6.36 Prover 1: Constructing countermodel ...
% 20.02/7.22 Prover 1: proved (1288ms)
% 20.02/7.22 Prover 0: stopped
% 20.02/7.22
% 20.02/7.22 No countermodel exists, formula is valid
% 20.02/7.22 % SZS status Theorem for theBenchmark
% 20.02/7.22
% 20.02/7.23 Generating proof ... found it (size 210)
% 33.67/10.46
% 33.67/10.46 % SZS output start Proof for theBenchmark
% 33.67/10.46 Assumed formulas after preprocessing and simplification:
% 33.67/10.46 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & ssItem(v8) = 0 & ssItem(v7) = 0 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = 0 | ~ (strictorderedP(v9) = 0) | ~ (lt(v10, v11) = v12) | ~ (ssList(v13) = 0) | ~ (cons(v11, v17) = v18) | ~ (cons(v10, v14) = v15) | ~ (app(v16, v18) = v9) | ~ (app(v13, v15) = v16) | ~ (ssItem(v10) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v9) = v19) | ( ~ (v19 = 0) & ssItem(v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = 0 | ~ (totalorderedP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssList(v13) = 0) | ~ (cons(v11, v17) = v18) | ~ (cons(v10, v14) = v15) | ~ (app(v16, v18) = v9) | ~ (app(v13, v15) = v16) | ~ (ssItem(v10) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v9) = v19) | ( ~ (v19 = 0) & ssItem(v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (duplicatefreeP(v9) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v10, v15) = v16) | ~ (cons(v10, v12) = v13) | ~ (app(v14, v16) = v9) | ~ (app(v11, v13) = v14) | ~ (ssItem(v10) = 0) | ? [v17] : (( ~ (v17 = 0) & ssList(v15) = v17) | ( ~ (v17 = 0) & ssList(v12) = v17) | ( ~ (v17 = 0) & ssList(v9) = v17))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v14, v10) = v15) | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v12, v13) = v14) | ~ (app(v11, v9) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v11) = v16) | ( ~ (v16 = 0) & ssList(v10) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (equalelemsP(v9) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v11, v13) = v14) | ~ (cons(v10, v14) = v15) | ~ (app(v12, v15) = v9) | ~ (ssItem(v11) = 0) | ~ (ssItem(v10) = 0) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v9) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (frontsegP(v12, v14) = v15) | ~ (cons(v10, v13) = v14) | ~ (cons(v9, v11) = v12) | ~ (ssItem(v10) = 0) | ~ (ssItem(v9) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v11) = v16) | (frontsegP(v11, v13) = v17 & ssList(v13) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v10 = v9) | v15 = 0) & ( ~ (v15 = 0) | (v17 = 0 & v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = 0 | ~ (segmentP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v13, v14) = v9) | ~ (app(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssList(v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = 0 | ~ (memberP(v9, v10) = v11) | ~ (ssList(v12) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v10, v13) = v14) | ~ (app(v12, v14) = v9) | ? [v15] : (( ~ (v15 = 0) & ssList(v13) = v15) | ( ~ (v15 = 0) & ssItem(v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (memberP(v13, v9) = v14) | ~ (memberP(v10, v9) = v11) | ~ (app(v10, v12) = v13) | ~ (ssItem(v9) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v10) = v15) | (memberP(v12, v9) = v16 & ssList(v12) = v15 & ( ~ (v15 = 0) | (( ~ (v14 = 0) | v16 = 0 | v11 = 0) & (v14 = 0 | ( ~ (v16 = 0) & ~ (v11 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v9) = 0) | ~ (cons(v12, v10) = v13) | ~ (app(v13, v9) = v14) | ~ (app(v10, v9) = v11) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v10) = v15) | (cons(v12, v11) = v16 & ssItem(v12) = v15 & ( ~ (v15 = 0) | v16 = v14)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (ssList(v10) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v13, v10) = v12) | ~ (cons(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssItem(v13) = v14) | ( ~ (v14 = 0) & ssItem(v11) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, v10) = v13) | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v11) = v14) | ( ~ (v14 = 0) & ssList(v10) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, v10) = v13) | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v9, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v11) = v14) | ( ~ (v14 = 0) & ssList(v10) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (ssList(v10) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v13, v10) = v12) | ~ (cons(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssItem(v13) = v14) | ( ~ (v14 = 0) & ssItem(v11) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (memberP(v12, v9) = v13) | ~ (cons(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ~ (ssItem(v9) = 0) | ? [v14] : ? [v15] : (memberP(v11, v9) = v15 & ssList(v11) = v14 & ( ~ (v14 = 0) | (( ~ (v13 = 0) | v15 = 0 | v10 = v9) & (v13 = 0 | ( ~ (v15 = 0) & ~ (v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v9) = 0) | ~ (app(v11, v12) = v13) | ~ (app(v9, v10) = v11) | ? [v14] : ? [v15] : ? [v16] : (( ~ (v14 = 0) & ssList(v10) = v14) | (ssList(v12) = v14 & app(v10, v12) = v15 & app(v9, v15) = v16 & ( ~ (v14 = 0) | v16 = v13)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | v9 = nil | ~ (tl(v9) = v11) | ~ (hd(v9) = v10) | ~ (cons(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v9) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (ssList(v9) = 0) | ~ (app(v12, v10) = v11) | ~ (app(v9, v10) = v11) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (ssList(v9) = 0) | ~ (app(v10, v12) = v11) | ~ (app(v10, v9) = v11) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (gt(v9, v11) = v12) | ~ (gt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (gt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v9, v11) = v12) | ~ (geq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (geq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v9, v11) = v12) | ~ (lt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (lt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v9, v11) = v12) | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (lt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v9, v11) = v12) | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (leq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (segmentP(v9, v11) = v12) | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (segmentP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (rearsegP(v9, v11) = v12) | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (rearsegP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (frontsegP(v9, v11) = v12) | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (frontsegP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (rearsegP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v12, v10) = v9) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (frontsegP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v10, v12) = v9) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (gt(v12, v11) = v10) | ~ (gt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (geq(v12, v11) = v10) | ~ (geq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (lt(v12, v11) = v10) | ~ (lt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (leq(v12, v11) = v10) | ~ (leq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (segmentP(v12, v11) = v10) | ~ (segmentP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (rearsegP(v12, v11) = v10) | ~ (rearsegP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (frontsegP(v12, v11) = v10) | ~ (frontsegP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (memberP(v12, v11) = v10) | ~ (memberP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (cons(v12, v11) = v10) | ~ (cons(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (app(v12, v11) = v10) | ~ (app(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (neq(v12, v11) = v10) | ~ (neq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = nil | ~ (tl(v9) = v10) | ~ (app(v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (( ~ (v13 = 0) & ssList(v9) = v13) | (tl(v14) = v15 & ssList(v11) = v13 & app(v9, v11) = v14 & ( ~ (v13 = 0) | v15 = v12)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = nil | ~ (hd(v9) = v10) | ~ (app(v9, v11) = v12) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (hd(v12) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | v14 = v10)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (hd(v10) = v11) | ~ (lt(v9, v11) = v12) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (strictorderedP(v14) = v15 & strictorderedP(v10) = v16 & ssList(v10) = v13 & cons(v9, v10) = v14 & ( ~ (v13 = 0) | (( ~ (v15 = 0) | v10 = nil | (v16 = 0 & v12 = 0)) & (v15 = 0 | ( ~ (v10 = nil) & ( ~ (v16 = 0) | ~ (v12 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (hd(v10) = v11) | ~ (leq(v9, v11) = v12) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (totalorderedP(v14) = v15 & totalorderedP(v10) = v16 & ssList(v10) = v13 & cons(v9, v10) = v14 & ( ~ (v13 = 0) | (( ~ (v15 = 0) | v10 = nil | (v16 = 0 & v12 = 0)) & (v15 = 0 | ( ~ (v10 = nil) & ( ~ (v16 = 0) | ~ (v12 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (strictorderP(v9) = 0) | ~ (lt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (lt(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | v12 = 0 | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (totalorderP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (leq(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | v12 = 0 | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cyclefreeP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (leq(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (v14 = 0) | ~ (v12 = 0) | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, nil) = v11) | ~ (app(v11, v9) = v12) | ? [v13] : ? [v14] : (cons(v10, v9) = v14 & ssItem(v10) = v13 & ( ~ (v13 = 0) | v14 = v12))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (lt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v9, v10) = v13 & ssItem(v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (ssList(v9) = 0) | ~ (neq(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (neq(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ( ~ (v12 = 0) & ssItem(v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (tl(v11) = v10) | ~ (tl(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (hd(v11) = v10) | ~ (hd(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (equalelemsP(v11) = v10) | ~ (equalelemsP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (duplicatefreeP(v11) = v10) | ~ (duplicatefreeP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (strictorderedP(v11) = v10) | ~ (strictorderedP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (totalorderedP(v11) = v10) | ~ (totalorderedP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (strictorderP(v11) = v10) | ~ (strictorderP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (totalorderP(v11) = v10) | ~ (totalorderP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cyclefreeP(v11) = v10) | ~ (cyclefreeP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (singletonP(v11) = v10) | ~ (singletonP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (ssList(v11) = v10) | ~ (ssList(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (ssItem(v11) = v10) | ~ (ssItem(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (singletonP(v9) = v10) | ~ (cons(v11, nil) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v9) = v12) | ( ~ (v12 = 0) & ssItem(v11) = v12))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (gt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (lt(v10, v9) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0) & ( ~ (v11 = 0) | v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (geq(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v10, v9) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0) & ( ~ (v11 = 0) | v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (lt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v9, v10) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0 | v10 = v9) & ( ~ (v11 = 0) | (v13 = 0 & ~ (v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (tl(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = v9))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (hd(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = v10))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (ssList(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (app(v9, v10) = v11) | ? [v12] : ? [v13] : (ssList(v11) = v13 & ssList(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (geq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (geq(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (leq(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (segmentP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (rearsegP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (frontsegP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (app(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = v9 | ~ (app(nil, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = nil | ~ (ssList(v9) = 0) | ~ (app(v9, v10) = nil) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (geq(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssItem(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (equalelemsP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = v9 & v18 = 0 & v16 = 0 & v14 = 0 & v12 = 0 & ~ (v13 = v11) & ssList(v17) = 0 & ssList(v15) = 0 & cons(v13, v17) = v19 & cons(v11, v19) = v20 & app(v15, v20) = v9 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (duplicatefreeP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v9 & v22 = 0 & v18 = 0 & v16 = 0 & v14 = 0 & v13 = v11 & v12 = 0 & ssList(v21) = 0 & ssList(v17) = 0 & ssList(v15) = 0 & cons(v11, v21) = v23 & cons(v11, v17) = v19 & app(v20, v23) = v9 & app(v15, v19) = v20 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (strictorderedP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v9 & v23 = 0 & v19 = 0 & v17 = 0 & v14 = 0 & v12 = 0 & ~ (v15 = 0) & lt(v11, v13) = v15 & ssList(v22) = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v13, v22) = v24 & cons(v11, v18) = v20 & app(v21, v24) = v9 & app(v16, v20) = v21 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (totalorderedP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v9 & v23 = 0 & v19 = 0 & v17 = 0 & v14 = 0 & v12 = 0 & ~ (v15 = 0) & leq(v11, v13) = v15 & ssList(v22) = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v13, v22) = v24 & cons(v11, v18) = v20 & app(v21, v24) = v9 & app(v16, v20) = v21 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (strictorderP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v14 = 0 & v12 = 0 & ~ (v16 = 0) & ~ (v15 = 0) & lt(v13, v11) = v16 & lt(v11, v13) = v15 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (totalorderP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v14 = 0 & v12 = 0 & ~ (v16 = 0) & ~ (v15 = 0) & leq(v13, v11) = v16 & leq(v11, v13) = v15 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cyclefreeP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & v12 = 0 & leq(v13, v11) = 0 & leq(v11, v13) = 0 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (leq(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssItem(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (segmentP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (segmentP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (rearsegP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (rearsegP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (frontsegP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (frontsegP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v9 = nil | ~ (tl(v9) = v10) | ? [v11] : ? [v12] : (ssList(v10) = v12 & ssList(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : (v9 = nil | ~ (tl(v9) = v10) | ? [v11] : ? [v12] : ((v12 = 0 & v11 = v10 & ssList(v10) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v9 = nil | ~ (hd(v9) = v10) | ? [v11] : ? [v12] : (ssList(v9) = v11 & ssItem(v10) = v12 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : (v9 = nil | ~ (hd(v9) = v10) | ? [v11] : ? [v12] : ((v12 = 0 & v11 = v10 & ssItem(v10) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v9 = nil | ~ (ssList(v9) = 0) | ~ (app(v9, v10) = nil) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (gt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (gt(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : ( ~ (tl(v9) = v10) | ? [v11] : ? [v12] : (hd(v9) = v12 & ssList(v9) = v11 & ( ~ (v11 = 0) | ! [v13] : (v13 = v9 | v13 = nil | v9 = nil | ~ (tl(v13) = v10) | ? [v14] : ? [v15] : (hd(v13) = v15 & ssList(v13) = v14 & ( ~ (v15 = v12) | ~ (v14 = 0))))))) & ! [v9] : ! [v10] : ( ~ (lt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (lt(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : ( ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v9 & v15 = 0 & v12 = 0 & ssList(v14) = 0 & ssList(v11) = 0 & app(v13, v14) = v9 & app(v11, v10) = v13) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v9 & v12 = 0 & ssList(v11) = 0 & app(v11, v10) = v9) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v9 & v12 = 0 & ssList(v11) = 0 & app(v10, v11) = v9) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (memberP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v9 & v14 = 0 & v12 = 0 & ssList(v13) = 0 & ssList(v11) = 0 & cons(v10, v13) = v15 & app(v11, v15) = v9) | ( ~ (v11 = 0) & ssItem(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v9) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = nil) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (equalelemsP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (duplicatefreeP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (strictorderedP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (totalorderedP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (strictorderP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (totalorderP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (cyclefreeP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : (v9 = nil | ~ (segmentP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (rearsegP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (frontsegP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (ssList(v9) = 0) | ? [v10] : ? [v11] : (ssList(v10) = 0 & cons(v11, v10) = v9 & ssItem(v11) = 0)) & ! [v9] : (v9 = nil | ~ (app(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (segmentP(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (rearsegP(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (frontsegP(nil, nil) = v9)) & ! [v9] : ( ~ (lt(v9, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssItem(v9) = v10)) & ! [v9] : ( ~ (singletonP(v9) = 0) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v9 & v11 = 0 & cons(v10, nil) = v9 & ssItem(v10) = 0) | ( ~ (v10 = 0) & ssList(v9) = v10))) & ! [v9] : ( ~ (memberP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssItem(v9) = v10)) & ! [v9] : ( ~ (ssList(v9) = 0) | ~ (neq(v9, v9) = 0)) & ! [v9] : ( ~ (neq(v9, v9) = 0) | ~ (ssItem(v9) = 0)) & ! [v9] : ( ~ (ssItem(v9) = 0) | ? [v10] : ( ~ (v10 = v9) & memberP(v1, v10) = 0 & ssItem(v10) = 0)) & ((v6 = 0 & v5 = v1 & v4 = 0 & memberP(v2, v3) = 0 & cons(v3, nil) = v1 & ssItem(v3) = 0 & ! [v9] : (v9 = v3 | ~ (memberP(v2, v9) = 0) | ? [v10] : ? [v11] : (leq(v3, v9) = v11 & ssItem(v9) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) | (v2 = nil & v1 = nil)))
% 34.05/10.56 | 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 yields:
% 34.05/10.56 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_8_8 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_8_8 & ssList(all_0_6_6) = 0 & ssList(all_0_7_7) = 0 & ssList(nil) = 0 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & ! [v0] : ( ~ (ssItem(v0) = 0) | ? [v1] : ( ~ (v1 = v0) & memberP(all_0_7_7, v1) = 0 & ssItem(v1) = 0)) & ((all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_6_6 = nil & all_0_7_7 = nil))
% 34.38/10.60 |
% 34.38/10.60 | Applying alpha-rule on (1) yields:
% 34.38/10.60 | (2) ssList(all_0_6_6) = 0
% 34.38/10.60 | (3) ! [v0] : ( ~ (ssItem(v0) = 0) | ? [v1] : ( ~ (v1 = v0) & memberP(all_0_7_7, v1) = 0 & ssItem(v1) = 0))
% 34.38/10.60 | (4) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 34.38/10.60 | (5) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 34.38/10.60 | (6) ! [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)))
% 34.38/10.60 | (7) ! [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)))
% 34.38/10.61 | (8) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 34.38/10.61 | (9) ! [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)))))
% 34.38/10.61 | (10) ! [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)))))))
% 34.38/10.61 | (11) ! [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)))
% 34.38/10.61 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 34.38/10.61 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 34.38/10.61 | (14) (all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_6_6 = nil & all_0_7_7 = nil)
% 34.38/10.61 | (15) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 34.38/10.61 | (16) ! [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)))
% 34.38/10.61 | (17) ! [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)))
% 34.38/10.61 | (18) ! [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))))
% 34.38/10.61 | (19) singletonP(nil) = all_0_8_8
% 34.38/10.61 | (20) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 34.38/10.61 | (21) ! [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)))
% 34.38/10.61 | (22) ssItem(all_0_1_1) = 0
% 34.38/10.61 | (23) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 34.38/10.61 | (24) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 34.38/10.61 | (25) ! [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)))
% 34.38/10.61 | (26) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.61 | (27) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 34.38/10.61 | (28) ! [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)))))))
% 34.38/10.61 | (29) ! [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)))))
% 34.38/10.61 | (30) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 34.38/10.61 | (31) ! [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)))
% 34.38/10.61 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 34.38/10.61 | (33) ! [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)))
% 34.38/10.61 | (34) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 34.38/10.61 | (35) ! [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)))
% 34.38/10.61 | (36) ! [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)))))
% 34.38/10.61 | (37) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 34.38/10.61 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 34.38/10.61 | (39) ! [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)))
% 34.38/10.62 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5))))
% 34.38/10.62 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 34.38/10.62 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 34.38/10.62 | (43) ! [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)))
% 34.38/10.62 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 34.38/10.62 | (45) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 34.38/10.62 | (46) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 34.38/10.62 | (47) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 34.38/10.62 | (48) ! [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)))))))
% 34.38/10.62 | (49) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 34.38/10.62 | (50) strictorderedP(nil) = 0
% 34.38/10.62 | (51) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.62 | (52) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 34.38/10.62 | (53) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 34.38/10.62 | (54) ssItem(all_0_0_0) = 0
% 34.38/10.62 | (55) ~ (all_0_8_8 = 0)
% 34.38/10.62 | (56) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 34.38/10.62 | (57) ! [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))))))))
% 34.38/10.62 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 34.38/10.62 | (59) ! [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)))
% 34.38/10.62 | (60) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.62 | (61) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 34.38/10.62 | (62) ! [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))))
% 34.38/10.62 | (63) ! [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)))))))
% 34.38/10.62 | (64) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 34.38/10.62 | (65) ! [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)))
% 34.38/10.62 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 34.38/10.62 | (67) ! [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)))))
% 34.38/10.62 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 34.38/10.62 | (69) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 34.38/10.62 | (70) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 34.38/10.62 | (71) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 34.38/10.62 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 34.38/10.62 | (73) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.62 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 34.38/10.62 | (75) ! [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)))))
% 34.38/10.62 | (76) ! [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)))
% 34.38/10.62 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 34.38/10.62 | (78) duplicatefreeP(nil) = 0
% 34.38/10.62 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 34.38/10.62 | (80) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 34.38/10.62 | (81) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.62 | (82) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 34.38/10.62 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 34.38/10.63 | (84) ! [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)))
% 34.38/10.63 | (85) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.63 | (86) ! [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)))
% 34.38/10.63 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 34.38/10.63 | (88) ! [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)))
% 34.38/10.63 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 34.38/10.63 | (90) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 34.38/10.63 | (91) ! [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)))
% 34.38/10.63 | (92) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 34.38/10.63 | (93) cyclefreeP(nil) = 0
% 34.38/10.63 | (94) totalorderP(nil) = 0
% 34.38/10.63 | (95) ! [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)))))))
% 34.38/10.63 | (96) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 34.38/10.63 | (97) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 34.38/10.63 | (98) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 34.38/10.63 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 34.38/10.63 | (100) ! [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)))
% 34.38/10.63 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 34.38/10.63 | (102) ! [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)))
% 34.38/10.63 | (103) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 34.38/10.63 | (104) ssList(nil) = 0
% 34.38/10.63 | (105) ! [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)))
% 34.38/10.63 | (106) equalelemsP(nil) = 0
% 34.38/10.63 | (107) ! [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)))
% 34.38/10.63 | (108) ! [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)))))
% 34.38/10.63 | (109) ! [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)))))
% 34.38/10.63 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 34.38/10.63 | (111) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 34.38/10.63 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 34.38/10.63 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 34.38/10.63 | (114) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 34.38/10.63 | (115) ~ (all_0_0_0 = all_0_1_1)
% 34.38/10.63 | (116) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 34.38/10.63 | (117) ! [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)))))))
% 34.38/10.63 | (118) totalorderedP(nil) = 0
% 34.38/10.63 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 34.38/10.63 | (120) ! [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))))
% 34.38/10.63 | (121) ! [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)))
% 34.38/10.63 | (122) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.63 | (123) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 34.38/10.63 | (124) ! [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)))))
% 34.38/10.63 | (125) ! [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)))
% 34.38/10.64 | (126) ssList(all_0_7_7) = 0
% 34.38/10.64 | (127) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 34.38/10.64 | (128) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 34.38/10.64 | (129) strictorderP(nil) = 0
% 34.38/10.64 | (130) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 34.38/10.64 | (131) ! [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)))))))
% 34.38/10.64 | (132) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 34.38/10.64 | (133) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.64 | (134) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 34.38/10.64 | (135) ! [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)))
% 34.38/10.64 | (136) ! [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)))
% 34.38/10.64 | (137) ! [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)))))
% 34.38/10.64 | (138) ! [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))))
% 34.38/10.64 | (139) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 34.38/10.64 | (140) ! [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)))))
% 34.38/10.64 | (141) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 34.38/10.64 | (142) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 34.38/10.64 | (143) ! [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))))))))
% 34.38/10.64 | (144) ! [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))))))))
% 34.38/10.64 | (145) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 34.38/10.64 | (146) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 34.38/10.64 |
% 34.38/10.64 | Instantiating formula (23) with all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 34.38/10.64 | (147) all_0_7_7 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_7_7 & ssItem(v1) = 0)
% 34.38/10.64 |
% 34.38/10.64 | Instantiating formula (3) with all_0_0_0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 34.38/10.64 | (148) ? [v0] : ( ~ (v0 = all_0_0_0) & memberP(all_0_7_7, v0) = 0 & ssItem(v0) = 0)
% 34.38/10.64 |
% 34.38/10.64 | Instantiating formula (3) with all_0_1_1 and discharging atoms ssItem(all_0_1_1) = 0, yields:
% 34.38/10.64 | (149) ? [v0] : ( ~ (v0 = all_0_1_1) & memberP(all_0_7_7, v0) = 0 & ssItem(v0) = 0)
% 34.38/10.64 |
% 34.38/10.64 | Instantiating (149) with all_8_0_9 yields:
% 34.38/10.64 | (150) ~ (all_8_0_9 = all_0_1_1) & memberP(all_0_7_7, all_8_0_9) = 0 & ssItem(all_8_0_9) = 0
% 34.38/10.64 |
% 34.38/10.64 | Applying alpha-rule on (150) yields:
% 34.38/10.64 | (151) ~ (all_8_0_9 = all_0_1_1)
% 34.38/10.64 | (152) memberP(all_0_7_7, all_8_0_9) = 0
% 34.38/10.64 | (153) ssItem(all_8_0_9) = 0
% 34.38/10.64 |
% 34.38/10.64 | Instantiating (148) with all_10_0_10 yields:
% 34.38/10.64 | (154) ~ (all_10_0_10 = all_0_0_0) & memberP(all_0_7_7, all_10_0_10) = 0 & ssItem(all_10_0_10) = 0
% 34.38/10.64 |
% 34.38/10.64 | Applying alpha-rule on (154) yields:
% 34.38/10.64 | (155) ~ (all_10_0_10 = all_0_0_0)
% 34.38/10.64 | (156) memberP(all_0_7_7, all_10_0_10) = 0
% 34.38/10.64 | (157) ssItem(all_10_0_10) = 0
% 34.38/10.64 |
% 34.38/10.64 | Instantiating formula (71) with all_10_0_10 yields:
% 34.38/10.64 | (158) ~ (memberP(nil, all_10_0_10) = 0) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_10_0_10) = v0)
% 34.38/10.64 |
% 34.38/10.64 | Instantiating formula (71) with all_8_0_9 yields:
% 34.38/10.64 | (159) ~ (memberP(nil, all_8_0_9) = 0) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_8_0_9) = v0)
% 34.38/10.64 |
% 34.38/10.64 | Instantiating formula (3) with all_10_0_10 and discharging atoms ssItem(all_10_0_10) = 0, yields:
% 34.38/10.64 | (160) ? [v0] : ( ~ (v0 = all_10_0_10) & memberP(all_0_7_7, v0) = 0 & ssItem(v0) = 0)
% 34.38/10.64 |
% 34.38/10.64 | Instantiating formula (3) with all_8_0_9 and discharging atoms ssItem(all_8_0_9) = 0, yields:
% 34.38/10.64 | (161) ? [v0] : ( ~ (v0 = all_8_0_9) & memberP(all_0_7_7, v0) = 0 & ssItem(v0) = 0)
% 34.38/10.64 |
% 34.38/10.64 | Instantiating (161) with all_17_0_11 yields:
% 34.38/10.64 | (162) ~ (all_17_0_11 = all_8_0_9) & memberP(all_0_7_7, all_17_0_11) = 0 & ssItem(all_17_0_11) = 0
% 34.38/10.64 |
% 34.38/10.64 | Applying alpha-rule on (162) yields:
% 34.38/10.64 | (163) ~ (all_17_0_11 = all_8_0_9)
% 34.38/10.64 | (164) memberP(all_0_7_7, all_17_0_11) = 0
% 34.38/10.64 | (165) ssItem(all_17_0_11) = 0
% 34.38/10.64 |
% 34.38/10.64 | Instantiating (160) with all_19_0_12 yields:
% 34.38/10.64 | (166) ~ (all_19_0_12 = all_10_0_10) & memberP(all_0_7_7, all_19_0_12) = 0 & ssItem(all_19_0_12) = 0
% 34.38/10.64 |
% 34.38/10.64 | Applying alpha-rule on (166) yields:
% 34.38/10.64 | (167) ~ (all_19_0_12 = all_10_0_10)
% 34.38/10.64 | (168) memberP(all_0_7_7, all_19_0_12) = 0
% 34.38/10.64 | (169) ssItem(all_19_0_12) = 0
% 34.38/10.64 |
% 34.38/10.64 +-Applying beta-rule and splitting (159), into two cases.
% 34.38/10.64 |-Branch one:
% 34.38/10.64 | (170) ~ (memberP(nil, all_8_0_9) = 0)
% 34.38/10.64 |
% 34.38/10.64 +-Applying beta-rule and splitting (158), into two cases.
% 34.38/10.64 |-Branch one:
% 34.38/10.64 | (171) ~ (memberP(nil, all_10_0_10) = 0)
% 34.38/10.64 |
% 34.38/10.64 | Using (156) and (171) yields:
% 34.38/10.64 | (172) ~ (all_0_7_7 = nil)
% 34.38/10.64 |
% 34.38/10.64 +-Applying beta-rule and splitting (14), into two cases.
% 34.38/10.64 |-Branch one:
% 34.38/10.64 | (173) all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 34.38/10.64 |
% 34.38/10.64 | Applying alpha-rule on (173) yields:
% 34.38/10.64 | (174) ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 34.38/10.64 | (175) all_0_2_2 = 0
% 34.38/10.65 | (176) cons(all_0_5_5, nil) = all_0_7_7
% 34.38/10.65 | (177) memberP(all_0_6_6, all_0_5_5) = 0
% 34.38/10.65 | (178) all_0_3_3 = all_0_7_7
% 34.38/10.65 | (179) ssItem(all_0_5_5) = 0
% 34.38/10.65 | (180) all_0_4_4 = 0
% 34.38/10.65 |
% 34.38/10.65 +-Applying beta-rule and splitting (147), into two cases.
% 34.38/10.65 |-Branch one:
% 34.38/10.65 | (181) all_0_7_7 = nil
% 34.38/10.65 |
% 34.38/10.65 | Equations (181) can reduce 172 to:
% 34.38/10.65 | (182) $false
% 34.38/10.65 |
% 34.38/10.65 |-The branch is then unsatisfiable
% 34.38/10.65 |-Branch two:
% 34.38/10.65 | (172) ~ (all_0_7_7 = nil)
% 34.38/10.65 | (184) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_7_7 & ssItem(v1) = 0)
% 34.38/10.65 |
% 34.38/10.65 | Instantiating (184) with all_52_0_25, all_52_1_26 yields:
% 34.38/10.65 | (185) ssList(all_52_1_26) = 0 & cons(all_52_0_25, all_52_1_26) = all_0_7_7 & ssItem(all_52_0_25) = 0
% 34.38/10.65 |
% 34.38/10.65 | Applying alpha-rule on (185) yields:
% 34.38/10.65 | (186) ssList(all_52_1_26) = 0
% 34.38/10.65 | (187) cons(all_52_0_25, all_52_1_26) = all_0_7_7
% 34.38/10.65 | (188) ssItem(all_52_0_25) = 0
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (136) with all_17_0_11, all_0_7_7 and discharging atoms memberP(all_0_7_7, all_17_0_11) = 0, ssList(all_0_7_7) = 0, yields:
% 34.38/10.65 | (189) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = all_0_7_7 & v3 = 0 & v1 = 0 & ssList(v2) = 0 & ssList(v0) = 0 & cons(all_17_0_11, v2) = v4 & app(v0, v4) = all_0_7_7) | ( ~ (v0 = 0) & ssItem(all_17_0_11) = v0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (41) with all_0_7_7, all_52_0_25, all_52_1_26 and discharging atoms ssList(all_52_1_26) = 0, cons(all_52_0_25, all_52_1_26) = all_0_7_7, yields:
% 34.38/10.65 | (190) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_52_0_25) = v0 & ( ~ (v0 = 0) | v1 = all_52_1_26))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (123) with all_0_7_7, all_52_0_25, all_52_1_26 and discharging atoms ssList(all_52_1_26) = 0, cons(all_52_0_25, all_52_1_26) = all_0_7_7, yields:
% 34.38/10.65 | (191) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_52_0_25) = v0 & ( ~ (v0 = 0) | v1 = all_52_0_25))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (95) with 0, all_0_7_7, nil, all_0_5_5, all_8_0_9 and discharging atoms memberP(all_0_7_7, all_8_0_9) = 0, cons(all_0_5_5, nil) = all_0_7_7, ssItem(all_8_0_9) = 0, ssItem(all_0_5_5) = 0, yields:
% 34.38/10.65 | (192) ? [v0] : ? [v1] : (memberP(nil, all_8_0_9) = v1 & ssList(nil) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_8_0_9 = all_0_5_5))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (125) with all_0_5_5, all_0_7_7, all_52_0_25, nil, all_52_1_26 and discharging atoms ssList(all_52_1_26) = 0, ssList(nil) = 0, cons(all_52_0_25, all_52_1_26) = all_0_7_7, cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (193) all_52_0_25 = all_0_5_5 | ? [v0] : (( ~ (v0 = 0) & ssItem(all_52_0_25) = v0) | ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (41) with all_0_7_7, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (194) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (123) with all_0_7_7, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (195) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = all_0_5_5))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (85) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (196) ? [v0] : ? [v1] : (equalelemsP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (51) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (197) ? [v0] : ? [v1] : (duplicatefreeP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (142) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (198) ? [v0] : ? [v1] : (strictorderedP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (73) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (199) ? [v0] : ? [v1] : (totalorderedP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (133) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (200) ? [v0] : ? [v1] : (strictorderP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (26) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (201) ? [v0] : ? [v1] : (totalorderP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (122) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 34.38/10.65 | (202) ? [v0] : ? [v1] : (cyclefreeP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (95) with 0, all_0_7_7, all_52_1_26, all_52_0_25, all_10_0_10 and discharging atoms memberP(all_0_7_7, all_10_0_10) = 0, cons(all_52_0_25, all_52_1_26) = all_0_7_7, ssItem(all_52_0_25) = 0, ssItem(all_10_0_10) = 0, yields:
% 34.38/10.65 | (203) ? [v0] : ? [v1] : (memberP(all_52_1_26, all_10_0_10) = v1 & ssList(all_52_1_26) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_52_0_25 = all_10_0_10))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (95) with 0, all_0_7_7, all_52_1_26, all_52_0_25, all_8_0_9 and discharging atoms memberP(all_0_7_7, all_8_0_9) = 0, cons(all_52_0_25, all_52_1_26) = all_0_7_7, ssItem(all_52_0_25) = 0, ssItem(all_8_0_9) = 0, yields:
% 34.38/10.65 | (204) ? [v0] : ? [v1] : (memberP(all_52_1_26, all_8_0_9) = v1 & ssList(all_52_1_26) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_52_0_25 = all_8_0_9))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (95) with 0, all_0_7_7, all_52_1_26, all_52_0_25, all_19_0_12 and discharging atoms memberP(all_0_7_7, all_19_0_12) = 0, cons(all_52_0_25, all_52_1_26) = all_0_7_7, ssItem(all_52_0_25) = 0, ssItem(all_19_0_12) = 0, yields:
% 34.38/10.65 | (205) ? [v0] : ? [v1] : (memberP(all_52_1_26, all_19_0_12) = v1 & ssList(all_52_1_26) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_52_0_25 = all_19_0_12))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (95) with 0, all_0_7_7, all_52_1_26, all_52_0_25, all_17_0_11 and discharging atoms memberP(all_0_7_7, all_17_0_11) = 0, cons(all_52_0_25, all_52_1_26) = all_0_7_7, ssItem(all_52_0_25) = 0, ssItem(all_17_0_11) = 0, yields:
% 34.38/10.65 | (206) ? [v0] : ? [v1] : (memberP(all_52_1_26, all_17_0_11) = v1 & ssList(all_52_1_26) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_52_0_25 = all_17_0_11))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating formula (95) with 0, all_0_7_7, nil, all_0_5_5, all_17_0_11 and discharging atoms memberP(all_0_7_7, all_17_0_11) = 0, cons(all_0_5_5, nil) = all_0_7_7, ssItem(all_17_0_11) = 0, ssItem(all_0_5_5) = 0, yields:
% 34.38/10.65 | (207) ? [v0] : ? [v1] : (memberP(nil, all_17_0_11) = v1 & ssList(nil) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_17_0_11 = all_0_5_5))
% 34.38/10.65 |
% 34.38/10.65 | Instantiating (206) with all_65_0_30, all_65_1_31 yields:
% 34.38/10.65 | (208) memberP(all_52_1_26, all_17_0_11) = all_65_0_30 & ssList(all_52_1_26) = all_65_1_31 & ( ~ (all_65_1_31 = 0) | all_65_0_30 = 0 | all_52_0_25 = all_17_0_11)
% 34.38/10.65 |
% 34.38/10.65 | Applying alpha-rule on (208) yields:
% 34.38/10.65 | (209) memberP(all_52_1_26, all_17_0_11) = all_65_0_30
% 34.38/10.65 | (210) ssList(all_52_1_26) = all_65_1_31
% 34.38/10.65 | (211) ~ (all_65_1_31 = 0) | all_65_0_30 = 0 | all_52_0_25 = all_17_0_11
% 34.38/10.65 |
% 34.38/10.65 | Instantiating (205) with all_71_0_35, all_71_1_36 yields:
% 34.38/10.65 | (212) memberP(all_52_1_26, all_19_0_12) = all_71_0_35 & ssList(all_52_1_26) = all_71_1_36 & ( ~ (all_71_1_36 = 0) | all_71_0_35 = 0 | all_52_0_25 = all_19_0_12)
% 34.38/10.65 |
% 34.38/10.65 | Applying alpha-rule on (212) yields:
% 34.38/10.65 | (213) memberP(all_52_1_26, all_19_0_12) = all_71_0_35
% 34.38/10.65 | (214) ssList(all_52_1_26) = all_71_1_36
% 34.38/10.65 | (215) ~ (all_71_1_36 = 0) | all_71_0_35 = 0 | all_52_0_25 = all_19_0_12
% 34.38/10.65 |
% 34.38/10.65 | Instantiating (207) with all_73_0_37, all_73_1_38 yields:
% 34.38/10.65 | (216) memberP(nil, all_17_0_11) = all_73_0_37 & ssList(nil) = all_73_1_38 & ( ~ (all_73_1_38 = 0) | all_73_0_37 = 0 | all_17_0_11 = all_0_5_5)
% 34.38/10.65 |
% 34.38/10.65 | Applying alpha-rule on (216) yields:
% 34.38/10.65 | (217) memberP(nil, all_17_0_11) = all_73_0_37
% 34.38/10.65 | (218) ssList(nil) = all_73_1_38
% 34.38/10.65 | (219) ~ (all_73_1_38 = 0) | all_73_0_37 = 0 | all_17_0_11 = all_0_5_5
% 34.38/10.65 |
% 34.38/10.65 | Instantiating (195) with all_75_0_39, all_75_1_40 yields:
% 34.38/10.65 | (220) hd(all_0_7_7) = all_75_0_39 & ssItem(all_0_5_5) = all_75_1_40 & ( ~ (all_75_1_40 = 0) | all_75_0_39 = all_0_5_5)
% 34.38/10.65 |
% 34.38/10.65 | Applying alpha-rule on (220) yields:
% 34.38/10.65 | (221) hd(all_0_7_7) = all_75_0_39
% 34.38/10.65 | (222) ssItem(all_0_5_5) = all_75_1_40
% 34.38/10.65 | (223) ~ (all_75_1_40 = 0) | all_75_0_39 = all_0_5_5
% 34.38/10.65 |
% 34.38/10.65 | Instantiating (194) with all_77_0_41, all_77_1_42 yields:
% 34.38/10.65 | (224) tl(all_0_7_7) = all_77_0_41 & ssItem(all_0_5_5) = all_77_1_42 & ( ~ (all_77_1_42 = 0) | all_77_0_41 = nil)
% 34.38/10.65 |
% 34.38/10.65 | Applying alpha-rule on (224) yields:
% 34.38/10.65 | (225) tl(all_0_7_7) = all_77_0_41
% 34.38/10.65 | (226) ssItem(all_0_5_5) = all_77_1_42
% 34.38/10.65 | (227) ~ (all_77_1_42 = 0) | all_77_0_41 = nil
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (204) with all_83_0_47, all_83_1_48 yields:
% 34.38/10.66 | (228) memberP(all_52_1_26, all_8_0_9) = all_83_0_47 & ssList(all_52_1_26) = all_83_1_48 & ( ~ (all_83_1_48 = 0) | all_83_0_47 = 0 | all_52_0_25 = all_8_0_9)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (228) yields:
% 34.38/10.66 | (229) memberP(all_52_1_26, all_8_0_9) = all_83_0_47
% 34.38/10.66 | (230) ssList(all_52_1_26) = all_83_1_48
% 34.38/10.66 | (231) ~ (all_83_1_48 = 0) | all_83_0_47 = 0 | all_52_0_25 = all_8_0_9
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (203) with all_85_0_49, all_85_1_50 yields:
% 34.38/10.66 | (232) memberP(all_52_1_26, all_10_0_10) = all_85_0_49 & ssList(all_52_1_26) = all_85_1_50 & ( ~ (all_85_1_50 = 0) | all_85_0_49 = 0 | all_52_0_25 = all_10_0_10)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (232) yields:
% 34.38/10.66 | (233) memberP(all_52_1_26, all_10_0_10) = all_85_0_49
% 34.38/10.66 | (234) ssList(all_52_1_26) = all_85_1_50
% 34.38/10.66 | (235) ~ (all_85_1_50 = 0) | all_85_0_49 = 0 | all_52_0_25 = all_10_0_10
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (192) with all_87_0_51, all_87_1_52 yields:
% 34.38/10.66 | (236) memberP(nil, all_8_0_9) = all_87_0_51 & ssList(nil) = all_87_1_52 & ( ~ (all_87_1_52 = 0) | all_87_0_51 = 0 | all_8_0_9 = all_0_5_5)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (236) yields:
% 34.38/10.66 | (237) memberP(nil, all_8_0_9) = all_87_0_51
% 34.38/10.66 | (238) ssList(nil) = all_87_1_52
% 34.38/10.66 | (239) ~ (all_87_1_52 = 0) | all_87_0_51 = 0 | all_8_0_9 = all_0_5_5
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (190) with all_95_0_59, all_95_1_60 yields:
% 34.38/10.66 | (240) tl(all_0_7_7) = all_95_0_59 & ssItem(all_52_0_25) = all_95_1_60 & ( ~ (all_95_1_60 = 0) | all_95_0_59 = all_52_1_26)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (240) yields:
% 34.38/10.66 | (241) tl(all_0_7_7) = all_95_0_59
% 34.38/10.66 | (242) ssItem(all_52_0_25) = all_95_1_60
% 34.38/10.66 | (243) ~ (all_95_1_60 = 0) | all_95_0_59 = all_52_1_26
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (189) with all_103_0_67, all_103_1_68, all_103_2_69, all_103_3_70, all_103_4_71, all_103_5_72 yields:
% 34.38/10.66 | (244) (all_103_0_67 = all_0_7_7 & all_103_2_69 = 0 & all_103_4_71 = 0 & ssList(all_103_3_70) = 0 & ssList(all_103_5_72) = 0 & cons(all_17_0_11, all_103_3_70) = all_103_1_68 & app(all_103_5_72, all_103_1_68) = all_0_7_7) | ( ~ (all_103_5_72 = 0) & ssItem(all_17_0_11) = all_103_5_72)
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (202) with all_104_0_73, all_104_1_74 yields:
% 34.38/10.66 | (245) cyclefreeP(all_0_7_7) = all_104_0_73 & ssItem(all_0_5_5) = all_104_1_74 & ( ~ (all_104_1_74 = 0) | all_104_0_73 = 0)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (245) yields:
% 34.38/10.66 | (246) cyclefreeP(all_0_7_7) = all_104_0_73
% 34.38/10.66 | (247) ssItem(all_0_5_5) = all_104_1_74
% 34.38/10.66 | (248) ~ (all_104_1_74 = 0) | all_104_0_73 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (197) with all_106_0_75, all_106_1_76 yields:
% 34.38/10.66 | (249) duplicatefreeP(all_0_7_7) = all_106_0_75 & ssItem(all_0_5_5) = all_106_1_76 & ( ~ (all_106_1_76 = 0) | all_106_0_75 = 0)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (249) yields:
% 34.38/10.66 | (250) duplicatefreeP(all_0_7_7) = all_106_0_75
% 34.38/10.66 | (251) ssItem(all_0_5_5) = all_106_1_76
% 34.38/10.66 | (252) ~ (all_106_1_76 = 0) | all_106_0_75 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (196) with all_110_0_79, all_110_1_80 yields:
% 34.38/10.66 | (253) equalelemsP(all_0_7_7) = all_110_0_79 & ssItem(all_0_5_5) = all_110_1_80 & ( ~ (all_110_1_80 = 0) | all_110_0_79 = 0)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (253) yields:
% 34.38/10.66 | (254) equalelemsP(all_0_7_7) = all_110_0_79
% 34.38/10.66 | (255) ssItem(all_0_5_5) = all_110_1_80
% 34.38/10.66 | (256) ~ (all_110_1_80 = 0) | all_110_0_79 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (201) with all_112_0_81, all_112_1_82 yields:
% 34.38/10.66 | (257) totalorderP(all_0_7_7) = all_112_0_81 & ssItem(all_0_5_5) = all_112_1_82 & ( ~ (all_112_1_82 = 0) | all_112_0_81 = 0)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (257) yields:
% 34.38/10.66 | (258) totalorderP(all_0_7_7) = all_112_0_81
% 34.38/10.66 | (259) ssItem(all_0_5_5) = all_112_1_82
% 34.38/10.66 | (260) ~ (all_112_1_82 = 0) | all_112_0_81 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (199) with all_114_0_83, all_114_1_84 yields:
% 34.38/10.66 | (261) totalorderedP(all_0_7_7) = all_114_0_83 & ssItem(all_0_5_5) = all_114_1_84 & ( ~ (all_114_1_84 = 0) | all_114_0_83 = 0)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (261) yields:
% 34.38/10.66 | (262) totalorderedP(all_0_7_7) = all_114_0_83
% 34.38/10.66 | (263) ssItem(all_0_5_5) = all_114_1_84
% 34.38/10.66 | (264) ~ (all_114_1_84 = 0) | all_114_0_83 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (191) with all_117_0_91, all_117_1_92 yields:
% 34.38/10.66 | (265) hd(all_0_7_7) = all_117_0_91 & ssItem(all_52_0_25) = all_117_1_92 & ( ~ (all_117_1_92 = 0) | all_117_0_91 = all_52_0_25)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (265) yields:
% 34.38/10.66 | (266) hd(all_0_7_7) = all_117_0_91
% 34.38/10.66 | (267) ssItem(all_52_0_25) = all_117_1_92
% 34.38/10.66 | (268) ~ (all_117_1_92 = 0) | all_117_0_91 = all_52_0_25
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (198) with all_120_0_99, all_120_1_100 yields:
% 34.38/10.66 | (269) strictorderedP(all_0_7_7) = all_120_0_99 & ssItem(all_0_5_5) = all_120_1_100 & ( ~ (all_120_1_100 = 0) | all_120_0_99 = 0)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (269) yields:
% 34.38/10.66 | (270) strictorderedP(all_0_7_7) = all_120_0_99
% 34.38/10.66 | (271) ssItem(all_0_5_5) = all_120_1_100
% 34.38/10.66 | (272) ~ (all_120_1_100 = 0) | all_120_0_99 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating (200) with all_122_0_101, all_122_1_102 yields:
% 34.38/10.66 | (273) strictorderP(all_0_7_7) = all_122_0_101 & ssItem(all_0_5_5) = all_122_1_102 & ( ~ (all_122_1_102 = 0) | all_122_0_101 = 0)
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (273) yields:
% 34.38/10.66 | (274) strictorderP(all_0_7_7) = all_122_0_101
% 34.38/10.66 | (275) ssItem(all_0_5_5) = all_122_1_102
% 34.38/10.66 | (276) ~ (all_122_1_102 = 0) | all_122_0_101 = 0
% 34.38/10.66 |
% 34.38/10.66 +-Applying beta-rule and splitting (244), into two cases.
% 34.38/10.66 |-Branch one:
% 34.38/10.66 | (277) all_103_0_67 = all_0_7_7 & all_103_2_69 = 0 & all_103_4_71 = 0 & ssList(all_103_3_70) = 0 & ssList(all_103_5_72) = 0 & cons(all_17_0_11, all_103_3_70) = all_103_1_68 & app(all_103_5_72, all_103_1_68) = all_0_7_7
% 34.38/10.66 |
% 34.38/10.66 | Applying alpha-rule on (277) yields:
% 34.38/10.66 | (278) app(all_103_5_72, all_103_1_68) = all_0_7_7
% 34.38/10.66 | (279) all_103_0_67 = all_0_7_7
% 34.38/10.66 | (280) ssList(all_103_5_72) = 0
% 34.38/10.66 | (281) ssList(all_103_3_70) = 0
% 34.38/10.66 | (282) cons(all_17_0_11, all_103_3_70) = all_103_1_68
% 34.38/10.66 | (283) all_103_2_69 = 0
% 34.38/10.66 | (284) all_103_4_71 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (134) with all_0_7_7, all_77_0_41, all_95_0_59 and discharging atoms tl(all_0_7_7) = all_95_0_59, tl(all_0_7_7) = all_77_0_41, yields:
% 34.38/10.66 | (285) all_95_0_59 = all_77_0_41
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (146) with all_0_7_7, all_75_0_39, all_117_0_91 and discharging atoms hd(all_0_7_7) = all_117_0_91, hd(all_0_7_7) = all_75_0_39, yields:
% 34.38/10.66 | (286) all_117_0_91 = all_75_0_39
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (89) with nil, all_17_0_11, all_73_0_37, all_65_0_30 and discharging atoms memberP(nil, all_17_0_11) = all_73_0_37, yields:
% 34.38/10.66 | (287) all_73_0_37 = all_65_0_30 | ~ (memberP(nil, all_17_0_11) = all_65_0_30)
% 34.38/10.66 |
% 34.38/10.66 | Using (237) and (170) yields:
% 34.38/10.66 | (288) ~ (all_87_0_51 = 0)
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (12) with all_52_1_26, all_83_1_48, all_85_1_50 and discharging atoms ssList(all_52_1_26) = all_85_1_50, ssList(all_52_1_26) = all_83_1_48, yields:
% 34.38/10.66 | (289) all_85_1_50 = all_83_1_48
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (12) with all_52_1_26, all_71_1_36, 0 and discharging atoms ssList(all_52_1_26) = all_71_1_36, ssList(all_52_1_26) = 0, yields:
% 34.38/10.66 | (290) all_71_1_36 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (12) with all_52_1_26, all_71_1_36, all_85_1_50 and discharging atoms ssList(all_52_1_26) = all_85_1_50, ssList(all_52_1_26) = all_71_1_36, yields:
% 34.38/10.66 | (291) all_85_1_50 = all_71_1_36
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (12) with all_52_1_26, all_65_1_31, all_85_1_50 and discharging atoms ssList(all_52_1_26) = all_85_1_50, ssList(all_52_1_26) = all_65_1_31, yields:
% 34.38/10.66 | (292) all_85_1_50 = all_65_1_31
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (12) with nil, all_87_1_52, 0 and discharging atoms ssList(nil) = all_87_1_52, ssList(nil) = 0, yields:
% 34.38/10.66 | (293) all_87_1_52 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (113) with all_52_0_25, all_117_1_92, 0 and discharging atoms ssItem(all_52_0_25) = all_117_1_92, ssItem(all_52_0_25) = 0, yields:
% 34.38/10.66 | (294) all_117_1_92 = 0
% 34.38/10.66 |
% 34.38/10.66 | Instantiating formula (113) with all_52_0_25, all_95_1_60, all_117_1_92 and discharging atoms ssItem(all_52_0_25) = all_117_1_92, ssItem(all_52_0_25) = all_95_1_60, yields:
% 34.78/10.66 | (295) all_117_1_92 = all_95_1_60
% 34.78/10.66 |
% 34.78/10.66 | Instantiating formula (113) with all_0_5_5, all_122_1_102, 0 and discharging atoms ssItem(all_0_5_5) = all_122_1_102, ssItem(all_0_5_5) = 0, yields:
% 34.78/10.66 | (296) all_122_1_102 = 0
% 34.78/10.66 |
% 34.78/10.66 | Instantiating formula (113) with all_0_5_5, all_120_1_100, all_122_1_102 and discharging atoms ssItem(all_0_5_5) = all_122_1_102, ssItem(all_0_5_5) = all_120_1_100, yields:
% 34.78/10.66 | (297) all_122_1_102 = all_120_1_100
% 34.78/10.66 |
% 34.78/10.66 | Instantiating formula (113) with all_0_5_5, all_110_1_80, all_120_1_100 and discharging atoms ssItem(all_0_5_5) = all_120_1_100, ssItem(all_0_5_5) = all_110_1_80, yields:
% 34.78/10.66 | (298) all_120_1_100 = all_110_1_80
% 34.78/10.66 |
% 34.78/10.66 | Instantiating formula (113) with all_0_5_5, all_110_1_80, all_112_1_82 and discharging atoms ssItem(all_0_5_5) = all_112_1_82, ssItem(all_0_5_5) = all_110_1_80, yields:
% 34.78/10.66 | (299) all_112_1_82 = all_110_1_80
% 34.78/10.66 |
% 34.78/10.66 | Instantiating formula (113) with all_0_5_5, all_106_1_76, all_112_1_82 and discharging atoms ssItem(all_0_5_5) = all_112_1_82, ssItem(all_0_5_5) = all_106_1_76, yields:
% 34.78/10.66 | (300) all_112_1_82 = all_106_1_76
% 34.78/10.66 |
% 34.78/10.66 | Instantiating formula (113) with all_0_5_5, all_104_1_74, all_112_1_82 and discharging atoms ssItem(all_0_5_5) = all_112_1_82, ssItem(all_0_5_5) = all_104_1_74, yields:
% 34.78/10.66 | (301) all_112_1_82 = all_104_1_74
% 34.78/10.66 |
% 34.78/10.66 | Instantiating formula (113) with all_0_5_5, all_77_1_42, all_114_1_84 and discharging atoms ssItem(all_0_5_5) = all_114_1_84, ssItem(all_0_5_5) = all_77_1_42, yields:
% 34.78/10.66 | (302) all_114_1_84 = all_77_1_42
% 34.78/10.66 |
% 34.78/10.66 | Instantiating formula (113) with all_0_5_5, all_77_1_42, all_104_1_74 and discharging atoms ssItem(all_0_5_5) = all_104_1_74, ssItem(all_0_5_5) = all_77_1_42, yields:
% 34.78/10.67 | (303) all_104_1_74 = all_77_1_42
% 34.78/10.67 |
% 34.78/10.67 | Instantiating formula (113) with all_0_5_5, all_75_1_40, all_114_1_84 and discharging atoms ssItem(all_0_5_5) = all_114_1_84, ssItem(all_0_5_5) = all_75_1_40, yields:
% 34.78/10.67 | (304) all_114_1_84 = all_75_1_40
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (297,296) yields a new equation:
% 34.78/10.67 | (305) all_120_1_100 = 0
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 305 yields:
% 34.78/10.67 | (306) all_120_1_100 = 0
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (298,306) yields a new equation:
% 34.78/10.67 | (307) all_110_1_80 = 0
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 307 yields:
% 34.78/10.67 | (308) all_110_1_80 = 0
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (295,294) yields a new equation:
% 34.78/10.67 | (309) all_95_1_60 = 0
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 309 yields:
% 34.78/10.67 | (310) all_95_1_60 = 0
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (302,304) yields a new equation:
% 34.78/10.67 | (311) all_77_1_42 = all_75_1_40
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 311 yields:
% 34.78/10.67 | (312) all_77_1_42 = all_75_1_40
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (301,300) yields a new equation:
% 34.78/10.67 | (313) all_106_1_76 = all_104_1_74
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (299,300) yields a new equation:
% 34.78/10.67 | (314) all_110_1_80 = all_106_1_76
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 314 yields:
% 34.78/10.67 | (315) all_110_1_80 = all_106_1_76
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (315,308) yields a new equation:
% 34.78/10.67 | (316) all_106_1_76 = 0
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 316 yields:
% 34.78/10.67 | (317) all_106_1_76 = 0
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (313,317) yields a new equation:
% 34.78/10.67 | (318) all_104_1_74 = 0
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 318 yields:
% 34.78/10.67 | (319) all_104_1_74 = 0
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (303,319) yields a new equation:
% 34.78/10.67 | (320) all_77_1_42 = 0
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 320 yields:
% 34.78/10.67 | (321) all_77_1_42 = 0
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (291,289) yields a new equation:
% 34.78/10.67 | (322) all_83_1_48 = all_71_1_36
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (292,289) yields a new equation:
% 34.78/10.67 | (323) all_83_1_48 = all_65_1_31
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (322,323) yields a new equation:
% 34.78/10.67 | (324) all_71_1_36 = all_65_1_31
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 324 yields:
% 34.78/10.67 | (325) all_71_1_36 = all_65_1_31
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (312,321) yields a new equation:
% 34.78/10.67 | (326) all_75_1_40 = 0
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 326 yields:
% 34.78/10.67 | (327) all_75_1_40 = 0
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (290,325) yields a new equation:
% 34.78/10.67 | (328) all_65_1_31 = 0
% 34.78/10.67 |
% 34.78/10.67 +-Applying beta-rule and splitting (193), into two cases.
% 34.78/10.67 |-Branch one:
% 34.78/10.67 | (329) all_52_0_25 = all_0_5_5
% 34.78/10.67 |
% 34.78/10.67 +-Applying beta-rule and splitting (243), into two cases.
% 34.78/10.67 |-Branch one:
% 34.78/10.67 | (330) ~ (all_95_1_60 = 0)
% 34.78/10.67 |
% 34.78/10.67 | Equations (310) can reduce 330 to:
% 34.78/10.67 | (182) $false
% 34.78/10.67 |
% 34.78/10.67 |-The branch is then unsatisfiable
% 34.78/10.67 |-Branch two:
% 34.78/10.67 | (310) all_95_1_60 = 0
% 34.78/10.67 | (333) all_95_0_59 = all_52_1_26
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (285,333) yields a new equation:
% 34.78/10.67 | (334) all_77_0_41 = all_52_1_26
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 334 yields:
% 34.78/10.67 | (335) all_77_0_41 = all_52_1_26
% 34.78/10.67 |
% 34.78/10.67 +-Applying beta-rule and splitting (239), into two cases.
% 34.78/10.67 |-Branch one:
% 34.78/10.67 | (336) ~ (all_87_1_52 = 0)
% 34.78/10.67 |
% 34.78/10.67 | Equations (293) can reduce 336 to:
% 34.78/10.67 | (182) $false
% 34.78/10.67 |
% 34.78/10.67 |-The branch is then unsatisfiable
% 34.78/10.67 |-Branch two:
% 34.78/10.67 | (293) all_87_1_52 = 0
% 34.78/10.67 | (339) all_87_0_51 = 0 | all_8_0_9 = all_0_5_5
% 34.78/10.67 |
% 34.78/10.67 +-Applying beta-rule and splitting (339), into two cases.
% 34.78/10.67 |-Branch one:
% 34.78/10.67 | (340) all_87_0_51 = 0
% 34.78/10.67 |
% 34.78/10.67 | Equations (340) can reduce 288 to:
% 34.78/10.67 | (182) $false
% 34.78/10.67 |
% 34.78/10.67 |-The branch is then unsatisfiable
% 34.78/10.67 |-Branch two:
% 34.78/10.67 | (288) ~ (all_87_0_51 = 0)
% 34.78/10.67 | (343) all_8_0_9 = all_0_5_5
% 34.78/10.67 |
% 34.78/10.67 | Equations (343) can reduce 163 to:
% 34.78/10.67 | (344) ~ (all_17_0_11 = all_0_5_5)
% 34.78/10.67 |
% 34.78/10.67 +-Applying beta-rule and splitting (211), into two cases.
% 34.78/10.67 |-Branch one:
% 34.78/10.67 | (345) ~ (all_65_1_31 = 0)
% 34.78/10.67 |
% 34.78/10.67 | Equations (328) can reduce 345 to:
% 34.78/10.67 | (182) $false
% 34.78/10.67 |
% 34.78/10.67 |-The branch is then unsatisfiable
% 34.78/10.67 |-Branch two:
% 34.78/10.67 | (328) all_65_1_31 = 0
% 34.78/10.67 | (348) all_65_0_30 = 0 | all_52_0_25 = all_17_0_11
% 34.78/10.67 |
% 34.78/10.67 +-Applying beta-rule and splitting (227), into two cases.
% 34.78/10.67 |-Branch one:
% 34.78/10.67 | (349) ~ (all_77_1_42 = 0)
% 34.78/10.67 |
% 34.78/10.67 | Equations (321) can reduce 349 to:
% 34.78/10.67 | (182) $false
% 34.78/10.67 |
% 34.78/10.67 |-The branch is then unsatisfiable
% 34.78/10.67 |-Branch two:
% 34.78/10.67 | (321) all_77_1_42 = 0
% 34.78/10.67 | (352) all_77_0_41 = nil
% 34.78/10.67 |
% 34.78/10.67 | Combining equations (335,352) yields a new equation:
% 34.78/10.67 | (353) all_52_1_26 = nil
% 34.78/10.67 |
% 34.78/10.67 | Simplifying 353 yields:
% 34.78/10.67 | (354) all_52_1_26 = nil
% 34.78/10.67 |
% 34.78/10.67 | From (354) and (209) follows:
% 34.78/10.67 | (355) memberP(nil, all_17_0_11) = all_65_0_30
% 34.78/10.67 |
% 34.78/10.67 +-Applying beta-rule and splitting (287), into two cases.
% 34.78/10.67 |-Branch one:
% 34.78/10.67 | (356) ~ (memberP(nil, all_17_0_11) = all_65_0_30)
% 34.78/10.67 |
% 34.78/10.67 | Using (355) and (356) yields:
% 34.78/10.67 | (357) $false
% 34.78/10.67 |
% 34.78/10.67 |-The branch is then unsatisfiable
% 34.78/10.67 |-Branch two:
% 34.78/10.67 | (355) memberP(nil, all_17_0_11) = all_65_0_30
% 34.78/10.67 | (359) all_73_0_37 = all_65_0_30
% 34.78/10.67 |
% 34.78/10.67 | From (359) and (217) follows:
% 34.78/10.67 | (355) memberP(nil, all_17_0_11) = all_65_0_30
% 34.78/10.67 |
% 34.78/10.67 +-Applying beta-rule and splitting (348), into two cases.
% 34.78/10.67 |-Branch one:
% 34.78/10.67 | (361) all_65_0_30 = 0
% 34.78/10.67 |
% 34.78/10.67 | From (361) and (355) follows:
% 34.78/10.67 | (362) memberP(nil, all_17_0_11) = 0
% 34.78/10.67 |
% 34.78/10.67 | Instantiating formula (71) with all_17_0_11 and discharging atoms memberP(nil, all_17_0_11) = 0, yields:
% 34.78/10.67 | (363) ? [v0] : ( ~ (v0 = 0) & ssItem(all_17_0_11) = v0)
% 34.78/10.67 |
% 34.78/10.67 | Instantiating formula (41) with all_103_1_68, all_17_0_11, all_103_3_70 and discharging atoms ssList(all_103_3_70) = 0, cons(all_17_0_11, all_103_3_70) = all_103_1_68, yields:
% 34.78/10.67 | (364) ? [v0] : ? [v1] : (tl(all_103_1_68) = v1 & ssItem(all_17_0_11) = v0 & ( ~ (v0 = 0) | v1 = all_103_3_70))
% 34.78/10.67 |
% 34.78/10.67 | Instantiating formula (123) with all_103_1_68, all_17_0_11, all_103_3_70 and discharging atoms ssList(all_103_3_70) = 0, cons(all_17_0_11, all_103_3_70) = all_103_1_68, yields:
% 34.78/10.67 | (365) ? [v0] : ? [v1] : (hd(all_103_1_68) = v1 & ssItem(all_17_0_11) = v0 & ( ~ (v0 = 0) | v1 = all_17_0_11))
% 34.78/10.67 |
% 34.78/10.67 | Instantiating formula (66) with all_103_1_68, all_17_0_11, all_103_3_70 and discharging atoms ssList(all_103_3_70) = 0, cons(all_17_0_11, all_103_3_70) = all_103_1_68, yields:
% 34.78/10.67 | (366) ? [v0] : ? [v1] : (ssList(all_103_1_68) = v1 & ssItem(all_17_0_11) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 34.78/10.67 |
% 34.78/10.67 | Instantiating (366) with all_378_0_150, all_378_1_151 yields:
% 34.78/10.67 | (367) ssList(all_103_1_68) = all_378_0_150 & ssItem(all_17_0_11) = all_378_1_151 & ( ~ (all_378_1_151 = 0) | all_378_0_150 = 0)
% 34.78/10.67 |
% 34.78/10.67 | Applying alpha-rule on (367) yields:
% 34.78/10.67 | (368) ssList(all_103_1_68) = all_378_0_150
% 34.78/10.67 | (369) ssItem(all_17_0_11) = all_378_1_151
% 34.78/10.67 | (370) ~ (all_378_1_151 = 0) | all_378_0_150 = 0
% 34.78/10.67 |
% 34.78/10.67 | Instantiating (365) with all_380_0_152, all_380_1_153 yields:
% 34.78/10.67 | (371) hd(all_103_1_68) = all_380_0_152 & ssItem(all_17_0_11) = all_380_1_153 & ( ~ (all_380_1_153 = 0) | all_380_0_152 = all_17_0_11)
% 34.78/10.67 |
% 34.78/10.67 | Applying alpha-rule on (371) yields:
% 34.78/10.67 | (372) hd(all_103_1_68) = all_380_0_152
% 34.78/10.67 | (373) ssItem(all_17_0_11) = all_380_1_153
% 34.78/10.67 | (374) ~ (all_380_1_153 = 0) | all_380_0_152 = all_17_0_11
% 34.78/10.67 |
% 34.78/10.67 | Instantiating (364) with all_382_0_154, all_382_1_155 yields:
% 34.78/10.67 | (375) tl(all_103_1_68) = all_382_0_154 & ssItem(all_17_0_11) = all_382_1_155 & ( ~ (all_382_1_155 = 0) | all_382_0_154 = all_103_3_70)
% 34.78/10.67 |
% 34.78/10.67 | Applying alpha-rule on (375) yields:
% 34.78/10.67 | (376) tl(all_103_1_68) = all_382_0_154
% 34.78/10.67 | (377) ssItem(all_17_0_11) = all_382_1_155
% 34.78/10.67 | (378) ~ (all_382_1_155 = 0) | all_382_0_154 = all_103_3_70
% 34.78/10.67 |
% 34.78/10.67 | Instantiating (363) with all_394_0_166 yields:
% 34.78/10.67 | (379) ~ (all_394_0_166 = 0) & ssItem(all_17_0_11) = all_394_0_166
% 34.78/10.67 |
% 34.78/10.67 | Applying alpha-rule on (379) yields:
% 34.78/10.67 | (380) ~ (all_394_0_166 = 0)
% 34.78/10.67 | (381) ssItem(all_17_0_11) = all_394_0_166
% 34.78/10.68 |
% 34.78/10.68 | Instantiating formula (113) with all_17_0_11, all_382_1_155, 0 and discharging atoms ssItem(all_17_0_11) = all_382_1_155, ssItem(all_17_0_11) = 0, yields:
% 34.78/10.68 | (382) all_382_1_155 = 0
% 34.78/10.68 |
% 34.78/10.68 | Instantiating formula (113) with all_17_0_11, all_380_1_153, all_394_0_166 and discharging atoms ssItem(all_17_0_11) = all_394_0_166, ssItem(all_17_0_11) = all_380_1_153, yields:
% 34.78/10.68 | (383) all_394_0_166 = all_380_1_153
% 34.78/10.68 |
% 34.78/10.68 | Instantiating formula (113) with all_17_0_11, all_380_1_153, all_382_1_155 and discharging atoms ssItem(all_17_0_11) = all_382_1_155, ssItem(all_17_0_11) = all_380_1_153, yields:
% 34.78/10.68 | (384) all_382_1_155 = all_380_1_153
% 34.78/10.68 |
% 34.78/10.68 | Instantiating formula (113) with all_17_0_11, all_378_1_151, all_394_0_166 and discharging atoms ssItem(all_17_0_11) = all_394_0_166, ssItem(all_17_0_11) = all_378_1_151, yields:
% 34.78/10.68 | (385) all_394_0_166 = all_378_1_151
% 34.78/10.68 |
% 34.78/10.68 | Combining equations (383,385) yields a new equation:
% 34.78/10.68 | (386) all_380_1_153 = all_378_1_151
% 34.78/10.68 |
% 34.78/10.68 | Simplifying 386 yields:
% 34.78/10.68 | (387) all_380_1_153 = all_378_1_151
% 34.78/10.68 |
% 34.78/10.68 | Combining equations (384,382) yields a new equation:
% 34.78/10.68 | (388) all_380_1_153 = 0
% 34.78/10.68 |
% 34.78/10.68 | Simplifying 388 yields:
% 34.78/10.68 | (389) all_380_1_153 = 0
% 34.78/10.68 |
% 34.78/10.68 | Combining equations (389,387) yields a new equation:
% 34.78/10.68 | (390) all_378_1_151 = 0
% 34.78/10.68 |
% 34.78/10.68 | Combining equations (390,385) yields a new equation:
% 34.78/10.68 | (391) all_394_0_166 = 0
% 34.78/10.68 |
% 34.78/10.68 | Equations (391) can reduce 380 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 |-Branch two:
% 34.78/10.68 | (393) ~ (all_65_0_30 = 0)
% 34.78/10.68 | (394) all_52_0_25 = all_17_0_11
% 34.78/10.68 |
% 34.78/10.68 | Combining equations (329,394) yields a new equation:
% 34.78/10.68 | (395) all_17_0_11 = all_0_5_5
% 34.78/10.68 |
% 34.78/10.68 | Equations (395) can reduce 344 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 |-Branch two:
% 34.78/10.68 | (397) ~ (all_52_0_25 = all_0_5_5)
% 34.78/10.68 | (398) ? [v0] : (( ~ (v0 = 0) & ssItem(all_52_0_25) = v0) | ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0))
% 34.78/10.68 |
% 34.78/10.68 +-Applying beta-rule and splitting (223), into two cases.
% 34.78/10.68 |-Branch one:
% 34.78/10.68 | (399) ~ (all_75_1_40 = 0)
% 34.78/10.68 |
% 34.78/10.68 | Equations (327) can reduce 399 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 |-Branch two:
% 34.78/10.68 | (327) all_75_1_40 = 0
% 34.78/10.68 | (402) all_75_0_39 = all_0_5_5
% 34.78/10.68 |
% 34.78/10.68 | Combining equations (402,286) yields a new equation:
% 34.78/10.68 | (403) all_117_0_91 = all_0_5_5
% 34.78/10.68 |
% 34.78/10.68 +-Applying beta-rule and splitting (268), into two cases.
% 34.78/10.68 |-Branch one:
% 34.78/10.68 | (404) ~ (all_117_1_92 = 0)
% 34.78/10.68 |
% 34.78/10.68 | Equations (294) can reduce 404 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 |-Branch two:
% 34.78/10.68 | (294) all_117_1_92 = 0
% 34.78/10.68 | (407) all_117_0_91 = all_52_0_25
% 34.78/10.68 |
% 34.78/10.68 | Combining equations (407,403) yields a new equation:
% 34.78/10.68 | (408) all_52_0_25 = all_0_5_5
% 34.78/10.68 |
% 34.78/10.68 | Simplifying 408 yields:
% 34.78/10.68 | (329) all_52_0_25 = all_0_5_5
% 34.78/10.68 |
% 34.78/10.68 | Equations (329) can reduce 397 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 |-Branch two:
% 34.78/10.68 | (411) ~ (all_103_5_72 = 0) & ssItem(all_17_0_11) = all_103_5_72
% 34.78/10.68 |
% 34.78/10.68 | Applying alpha-rule on (411) yields:
% 34.78/10.68 | (412) ~ (all_103_5_72 = 0)
% 34.78/10.68 | (413) ssItem(all_17_0_11) = all_103_5_72
% 34.78/10.68 |
% 34.78/10.68 | Instantiating formula (113) with all_17_0_11, all_103_5_72, 0 and discharging atoms ssItem(all_17_0_11) = all_103_5_72, ssItem(all_17_0_11) = 0, yields:
% 34.78/10.68 | (414) all_103_5_72 = 0
% 34.78/10.68 |
% 34.78/10.68 | Equations (414) can reduce 412 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 |-Branch two:
% 34.78/10.68 | (416) all_0_6_6 = nil & all_0_7_7 = nil
% 34.78/10.68 |
% 34.78/10.68 | Applying alpha-rule on (416) yields:
% 34.78/10.68 | (417) all_0_6_6 = nil
% 34.78/10.68 | (181) all_0_7_7 = nil
% 34.78/10.68 |
% 34.78/10.68 | Equations (181) can reduce 172 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 |-Branch two:
% 34.78/10.68 | (420) memberP(nil, all_10_0_10) = 0
% 34.78/10.68 | (421) ? [v0] : ( ~ (v0 = 0) & ssItem(all_10_0_10) = v0)
% 34.78/10.68 |
% 34.78/10.68 | Instantiating (421) with all_39_0_215 yields:
% 34.78/10.68 | (422) ~ (all_39_0_215 = 0) & ssItem(all_10_0_10) = all_39_0_215
% 34.78/10.68 |
% 34.78/10.68 | Applying alpha-rule on (422) yields:
% 34.78/10.68 | (423) ~ (all_39_0_215 = 0)
% 34.78/10.68 | (424) ssItem(all_10_0_10) = all_39_0_215
% 34.78/10.68 |
% 34.78/10.68 | Instantiating formula (113) with all_10_0_10, all_39_0_215, 0 and discharging atoms ssItem(all_10_0_10) = all_39_0_215, ssItem(all_10_0_10) = 0, yields:
% 34.78/10.68 | (425) all_39_0_215 = 0
% 34.78/10.68 |
% 34.78/10.68 | Equations (425) can reduce 423 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 |-Branch two:
% 34.78/10.68 | (427) memberP(nil, all_8_0_9) = 0
% 34.78/10.68 | (428) ? [v0] : ( ~ (v0 = 0) & ssItem(all_8_0_9) = v0)
% 34.78/10.68 |
% 34.78/10.68 | Instantiating (428) with all_35_0_222 yields:
% 34.78/10.68 | (429) ~ (all_35_0_222 = 0) & ssItem(all_8_0_9) = all_35_0_222
% 34.78/10.68 |
% 34.78/10.68 | Applying alpha-rule on (429) yields:
% 34.78/10.68 | (430) ~ (all_35_0_222 = 0)
% 34.78/10.68 | (431) ssItem(all_8_0_9) = all_35_0_222
% 34.78/10.68 |
% 34.78/10.68 | Instantiating formula (113) with all_8_0_9, all_35_0_222, 0 and discharging atoms ssItem(all_8_0_9) = all_35_0_222, ssItem(all_8_0_9) = 0, yields:
% 34.78/10.68 | (432) all_35_0_222 = 0
% 34.78/10.68 |
% 34.78/10.68 | Equations (432) can reduce 430 to:
% 34.78/10.68 | (182) $false
% 34.78/10.68 |
% 34.78/10.68 |-The branch is then unsatisfiable
% 34.78/10.68 % SZS output end Proof for theBenchmark
% 34.78/10.68
% 34.78/10.68 10094ms
%------------------------------------------------------------------------------