TSTP Solution File: SWC379+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC379+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:17:49 EDT 2022
% Result : Theorem 24.95s 6.79s
% Output : Proof 30.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC379+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 12 20:44:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.66/0.67 ____ _
% 0.66/0.67 ___ / __ \_____(_)___ ________ __________
% 0.66/0.67 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.66/0.67 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.66/0.67 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.66/0.67
% 0.66/0.67 A Theorem Prover for First-Order Logic
% 0.66/0.67 (ePrincess v.1.0)
% 0.66/0.67
% 0.66/0.67 (c) Philipp Rümmer, 2009-2015
% 0.66/0.67 (c) Peter Backeman, 2014-2015
% 0.66/0.67 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.67 Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.67 Bug reports to peter@backeman.se
% 0.66/0.67
% 0.66/0.67 For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.67
% 0.66/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.76/0.73 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.88/1.29 Prover 0: Preprocessing ...
% 6.43/2.15 Prover 0: Constructing countermodel ...
% 21.61/6.04 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 22.30/6.20 Prover 1: Preprocessing ...
% 24.01/6.60 Prover 1: Constructing countermodel ...
% 24.95/6.79 Prover 1: proved (747ms)
% 24.95/6.79 Prover 0: stopped
% 24.95/6.79
% 24.95/6.79 No countermodel exists, formula is valid
% 24.95/6.79 % SZS status Theorem for theBenchmark
% 24.95/6.79
% 24.95/6.79 Generating proof ... found it (size 85)
% 29.15/7.75
% 29.15/7.75 % SZS output start Proof for theBenchmark
% 29.15/7.75 Assumed formulas after preprocessing and simplification:
% 29.15/7.75 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v10) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & memberP(v2, v3) = v5 & memberP(v1, v3) = v4 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & ssItem(v11) = 0 & ssItem(v10) = 0 & ssItem(v3) = 0 & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | ~ (strictorderedP(v12) = 0) | ~ (lt(v13, v14) = v15) | ~ (ssList(v16) = 0) | ~ (cons(v14, v20) = v21) | ~ (cons(v13, v17) = v18) | ~ (app(v19, v21) = v12) | ~ (app(v16, v18) = v19) | ~ (ssItem(v13) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v12) = v22) | ( ~ (v22 = 0) & ssItem(v14) = v22))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | ~ (totalorderedP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssList(v16) = 0) | ~ (cons(v14, v20) = v21) | ~ (cons(v13, v17) = v18) | ~ (app(v19, v21) = v12) | ~ (app(v16, v18) = v19) | ~ (ssItem(v13) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v12) = v22) | ( ~ (v22 = 0) & ssItem(v14) = v22))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (duplicatefreeP(v12) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v13, v18) = v19) | ~ (cons(v13, v15) = v16) | ~ (app(v17, v19) = v12) | ~ (app(v14, v16) = v17) | ~ (ssItem(v13) = 0) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20) | ( ~ (v20 = 0) & ssList(v12) = v20))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (segmentP(v17, v13) = v18) | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v15, v16) = v17) | ~ (app(v14, v12) = v15) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v13) = v19))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v14 = v13 | ~ (equalelemsP(v12) = 0) | ~ (ssList(v15) = 0) | ~ (cons(v14, v16) = v17) | ~ (cons(v13, v17) = v18) | ~ (app(v15, v18) = v12) | ~ (ssItem(v14) = 0) | ~ (ssItem(v13) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v12) = v19))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (frontsegP(v15, v17) = v18) | ~ (cons(v13, v16) = v17) | ~ (cons(v12, v14) = v15) | ~ (ssItem(v13) = 0) | ~ (ssItem(v12) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v14) = v19) | (frontsegP(v14, v16) = v20 & ssList(v16) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | ~ (v13 = v12) | v18 = 0) & ( ~ (v18 = 0) | (v20 = 0 & v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = 0 | ~ (segmentP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v16, v17) = v12) | ~ (app(v15, v13) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v13) = v18))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = 0 | ~ (memberP(v12, v13) = v14) | ~ (ssList(v15) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v13, v16) = v17) | ~ (app(v15, v17) = v12) | ? [v18] : (( ~ (v18 = 0) & ssList(v16) = v18) | ( ~ (v18 = 0) & ssItem(v13) = v18))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (memberP(v16, v12) = v17) | ~ (memberP(v13, v12) = v14) | ~ (app(v13, v15) = v16) | ~ (ssItem(v12) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v13) = v18) | (memberP(v15, v12) = v19 & ssList(v15) = v18 & ( ~ (v18 = 0) | (( ~ (v17 = 0) | v19 = 0 | v14 = 0) & (v17 = 0 | ( ~ (v19 = 0) & ~ (v14 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v12) = 0) | ~ (cons(v15, v13) = v16) | ~ (app(v16, v12) = v17) | ~ (app(v13, v12) = v14) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v13) = v18) | (cons(v15, v14) = v19 & ssItem(v15) = v18 & ( ~ (v18 = 0) | v19 = v17)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (ssList(v13) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v16, v13) = v15) | ~ (cons(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssItem(v16) = v17) | ( ~ (v17 = 0) & ssItem(v14) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (rearsegP(v15, v13) = v16) | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v13) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (frontsegP(v15, v13) = v16) | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v12, v14) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v13) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (ssList(v13) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v16, v13) = v15) | ~ (cons(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssItem(v16) = v17) | ( ~ (v17 = 0) & ssItem(v14) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (memberP(v15, v12) = v16) | ~ (cons(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ~ (ssItem(v12) = 0) | ? [v17] : ? [v18] : (memberP(v14, v12) = v18 & ssList(v14) = v17 & ( ~ (v17 = 0) | (( ~ (v16 = 0) | v18 = 0 | v13 = v12) & (v16 = 0 | ( ~ (v18 = 0) & ~ (v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v12) = 0) | ~ (app(v14, v15) = v16) | ~ (app(v12, v13) = v14) | ? [v17] : ? [v18] : ? [v19] : (( ~ (v17 = 0) & ssList(v13) = v17) | (ssList(v15) = v17 & app(v13, v15) = v18 & app(v12, v18) = v19 & ( ~ (v17 = 0) | v19 = v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | v12 = nil | ~ (tl(v12) = v14) | ~ (hd(v12) = v13) | ~ (cons(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v12) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (ssList(v12) = 0) | ~ (app(v15, v13) = v14) | ~ (app(v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (ssList(v12) = 0) | ~ (app(v13, v15) = v14) | ~ (app(v13, v12) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (gt(v12, v14) = v15) | ~ (gt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (gt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (geq(v12, v14) = v15) | ~ (geq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (geq(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (lt(v12, v14) = v15) | ~ (lt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (lt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (lt(v12, v14) = v15) | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (lt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (leq(v12, v14) = v15) | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (leq(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v12, v14) = v15) | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (segmentP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v12, v14) = v15) | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (rearsegP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v12, v14) = v15) | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (frontsegP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (rearsegP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v15, v13) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (frontsegP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v13, v15) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (gt(v15, v14) = v13) | ~ (gt(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (geq(v15, v14) = v13) | ~ (geq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (lt(v15, v14) = v13) | ~ (lt(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (leq(v15, v14) = v13) | ~ (leq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (segmentP(v15, v14) = v13) | ~ (segmentP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (rearsegP(v15, v14) = v13) | ~ (rearsegP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (frontsegP(v15, v14) = v13) | ~ (frontsegP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (memberP(v15, v14) = v13) | ~ (memberP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (cons(v15, v14) = v13) | ~ (cons(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (app(v15, v14) = v13) | ~ (app(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (neq(v15, v14) = v13) | ~ (neq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (tl(v12) = v13) | ~ (app(v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & ssList(v12) = v16) | (tl(v17) = v18 & ssList(v14) = v16 & app(v12, v14) = v17 & ( ~ (v16 = 0) | v18 = v15)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (hd(v12) = v13) | ~ (app(v12, v14) = v15) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (hd(v15) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | v17 = v13)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (hd(v13) = v14) | ~ (lt(v12, v14) = v15) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (strictorderedP(v17) = v18 & strictorderedP(v13) = v19 & ssList(v13) = v16 & cons(v12, v13) = v17 & ( ~ (v16 = 0) | (( ~ (v18 = 0) | v13 = nil | (v19 = 0 & v15 = 0)) & (v18 = 0 | ( ~ (v13 = nil) & ( ~ (v19 = 0) | ~ (v15 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (hd(v13) = v14) | ~ (leq(v12, v14) = v15) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (totalorderedP(v17) = v18 & totalorderedP(v13) = v19 & ssList(v13) = v16 & cons(v12, v13) = v17 & ( ~ (v16 = 0) | (( ~ (v18 = 0) | v13 = nil | (v19 = 0 & v15 = 0)) & (v18 = 0 | ( ~ (v13 = nil) & ( ~ (v19 = 0) | ~ (v15 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (strictorderP(v12) = 0) | ~ (lt(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (lt(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | v15 = 0 | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (totalorderP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (leq(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | v15 = 0 | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (cyclefreeP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (leq(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (v17 = 0) | ~ (v15 = 0) | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, nil) = v14) | ~ (app(v14, v12) = v15) | ? [v16] : ? [v17] : (cons(v13, v12) = v17 & ssItem(v13) = v16 & ( ~ (v16 = 0) | v17 = v15))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (lt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (ssList(v12) = 0) | ~ (neq(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (neq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ( ~ (v15 = 0) & ssItem(v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (tl(v14) = v13) | ~ (tl(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (hd(v14) = v13) | ~ (hd(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (equalelemsP(v14) = v13) | ~ (equalelemsP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (duplicatefreeP(v14) = v13) | ~ (duplicatefreeP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (strictorderedP(v14) = v13) | ~ (strictorderedP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (totalorderedP(v14) = v13) | ~ (totalorderedP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (strictorderP(v14) = v13) | ~ (strictorderP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (totalorderP(v14) = v13) | ~ (totalorderP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (cyclefreeP(v14) = v13) | ~ (cyclefreeP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (singletonP(v14) = v13) | ~ (singletonP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (ssList(v14) = v13) | ~ (ssList(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (ssItem(v14) = v13) | ~ (ssItem(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (singletonP(v12) = v13) | ~ (cons(v14, nil) = v12) | ? [v15] : (( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssItem(v14) = v15))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (gt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (lt(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0) & ( ~ (v14 = 0) | v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (geq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0) & ( ~ (v14 = 0) | v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (lt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0 | v13 = v12) & ( ~ (v14 = 0) | (v16 = 0 & ~ (v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (tl(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = v12))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (hd(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = v13))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (ssList(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (app(v12, v13) = v14) | ? [v15] : ? [v16] : (ssList(v14) = v16 & ssList(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (geq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (geq(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (leq(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (segmentP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (rearsegP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (frontsegP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (app(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = v12 | ~ (app(nil, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = nil | ~ (ssList(v12) = 0) | ~ (app(v12, v13) = nil) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (geq(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssItem(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (equalelemsP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v12 & v21 = 0 & v19 = 0 & v17 = 0 & v15 = 0 & ~ (v16 = v14) & ssList(v20) = 0 & ssList(v18) = 0 & cons(v16, v20) = v22 & cons(v14, v22) = v23 & app(v18, v23) = v12 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (duplicatefreeP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v12 & v25 = 0 & v21 = 0 & v19 = 0 & v17 = 0 & v16 = v14 & v15 = 0 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v14, v20) = v22 & app(v23, v26) = v12 & app(v18, v22) = v23 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (strictorderedP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v12 & v26 = 0 & v22 = 0 & v20 = 0 & v17 = 0 & v15 = 0 & ~ (v18 = 0) & lt(v14, v16) = v18 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v16, v25) = v27 & cons(v14, v21) = v23 & app(v24, v27) = v12 & app(v19, v23) = v24 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (totalorderedP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v12 & v26 = 0 & v22 = 0 & v20 = 0 & v17 = 0 & v15 = 0 & ~ (v18 = 0) & leq(v14, v16) = v18 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v16, v25) = v27 & cons(v14, v21) = v23 & app(v24, v27) = v12 & app(v19, v23) = v24 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (strictorderP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v17 = 0 & v15 = 0 & ~ (v19 = 0) & ~ (v18 = 0) & lt(v16, v14) = v19 & lt(v14, v16) = v18 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (totalorderP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v17 = 0 & v15 = 0 & ~ (v19 = 0) & ~ (v18 = 0) & leq(v16, v14) = v19 & leq(v14, v16) = v18 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (cyclefreeP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & v15 = 0 & leq(v16, v14) = 0 & leq(v14, v16) = 0 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssItem(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (segmentP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (segmentP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v12 = nil | ~ (tl(v12) = v13) | ? [v14] : ? [v15] : (ssList(v13) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : (v12 = nil | ~ (tl(v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = v13 & ssList(v13) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v12 = nil | ~ (hd(v12) = v13) | ? [v14] : ? [v15] : (ssList(v12) = v14 & ssItem(v13) = v15 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : (v12 = nil | ~ (hd(v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = v13 & ssItem(v13) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v12 = nil | ~ (ssList(v12) = 0) | ~ (app(v12, v13) = nil) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (gt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (gt(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : ( ~ (tl(v12) = v13) | ? [v14] : ? [v15] : (hd(v12) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : (v16 = v12 | v16 = nil | v12 = nil | ~ (tl(v16) = v13) | ? [v17] : ? [v18] : (hd(v16) = v18 & ssList(v16) = v17 & ( ~ (v18 = v15) | ~ (v17 = 0))))))) & ! [v12] : ! [v13] : ( ~ (lt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (lt(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : ( ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = v12 & v18 = 0 & v15 = 0 & ssList(v17) = 0 & ssList(v14) = 0 & app(v16, v17) = v12 & app(v14, v13) = v16) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v12 & v15 = 0 & ssList(v14) = 0 & app(v14, v13) = v12) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v12 & v15 = 0 & ssList(v14) = 0 & app(v13, v14) = v12) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (memberP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = v12 & v17 = 0 & v15 = 0 & ssList(v16) = 0 & ssList(v14) = 0 & cons(v13, v16) = v18 & app(v14, v18) = v12) | ( ~ (v14 = 0) & ssItem(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (memberP(v1, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (memberP(v2, v12) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | v13 = 0 | (v19 = 0 & v18 = 0 & v17 = 0 & ~ (v16 = v12) & leq(v16, v12) = 0 & memberP(v2, v16) = 0 & ssItem(v16) = 0)) & ( ~ (v13 = 0) | (v15 = 0 & ! [v20] : (v20 = v12 | ~ (memberP(v2, v20) = 0) | ? [v21] : ? [v22] : (leq(v20, v12) = v22 & ssItem(v20) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0)))))))))) & ! [v12] : ! [v13] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v12) | ? [v14] : ( ~ (v14 = 0) & ssItem(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = nil) | ? [v14] : ( ~ (v14 = 0) & ssItem(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (equalelemsP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (duplicatefreeP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (strictorderedP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (totalorderedP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (strictorderP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (totalorderP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (cyclefreeP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : (v12 = nil | ~ (segmentP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (rearsegP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (frontsegP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (ssList(v12) = 0) | ? [v13] : ? [v14] : (ssList(v13) = 0 & cons(v14, v13) = v12 & ssItem(v14) = 0)) & ! [v12] : (v12 = nil | ~ (app(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (segmentP(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (rearsegP(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (frontsegP(nil, nil) = v12)) & ! [v12] : ( ~ (lt(v12, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v12] : ( ~ (singletonP(v12) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v12 & v14 = 0 & cons(v13, nil) = v12 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v12] : ( ~ (memberP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v12] : ( ~ (ssList(v12) = 0) | ~ (neq(v12, v12) = 0)) & ! [v12] : ( ~ (neq(v12, v12) = 0) | ~ (ssItem(v12) = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0) | (v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v3) & leq(v6, v3) = 0 & memberP(v2, v6) = 0 & ssItem(v6) = 0)) & (v4 = 0 | (v5 = 0 & ! [v12] : (v12 = v3 | ~ (memberP(v2, v12) = 0) | ? [v13] : ? [v14] : (leq(v12, v3) = v14 & ssItem(v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))))))
% 29.70/7.85 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11 yields:
% 29.70/7.85 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_11_11 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_11_11 & memberP(all_0_9_9, all_0_8_8) = all_0_6_6 & memberP(all_0_10_10, all_0_8_8) = all_0_7_7 & ssList(all_0_9_9) = 0 & ssList(all_0_10_10) = 0 & ssList(nil) = 0 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ssItem(all_0_8_8) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [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] : ( ~ (memberP(all_0_10_10, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (memberP(all_0_9_9, v0) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & ~ (v4 = v0) & leq(v4, v0) = 0 & memberP(all_0_9_9, v4) = 0 & ssItem(v4) = 0)) & ( ~ (v1 = 0) | (v3 = 0 & ! [v8] : (v8 = v0 | ~ (memberP(all_0_9_9, v8) = 0) | ? [v9] : ? [v10] : (leq(v8, v0) = v10 & ssItem(v8) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0)))))))))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & ( ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & ~ (all_0_5_5 = all_0_8_8) & leq(all_0_5_5, all_0_8_8) = 0 & memberP(all_0_9_9, all_0_5_5) = 0 & ssItem(all_0_5_5) = 0)) & (all_0_7_7 = 0 | (all_0_6_6 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))))
% 29.82/7.89 |
% 29.82/7.89 | Applying alpha-rule on (1) yields:
% 29.82/7.89 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 29.82/7.89 | (3) ! [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))))))))
% 29.82/7.90 | (4) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 29.82/7.90 | (5) ! [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)))))
% 29.82/7.90 | (6) equalelemsP(nil) = 0
% 29.82/7.90 | (7) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 29.82/7.90 | (8) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.82/7.90 | (9) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 29.82/7.90 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 29.82/7.90 | (11) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.82/7.90 | (12) ! [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)))))
% 29.82/7.90 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 29.82/7.90 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 29.82/7.90 | (15) ! [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)))))
% 29.82/7.90 | (16) ! [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)))
% 29.82/7.90 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 29.82/7.90 | (18) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 29.82/7.90 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.82/7.90 | (20) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.82/7.90 | (21) ! [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))))))))
% 29.82/7.90 | (22) ! [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)))
% 29.82/7.90 | (23) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 29.82/7.90 | (24) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.82/7.90 | (25) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.82/7.90 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 29.82/7.90 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 29.82/7.90 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 29.82/7.90 | (29) ! [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)))))
% 29.82/7.90 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 29.82/7.90 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 29.82/7.90 | (32) ssList(all_0_10_10) = 0
% 29.82/7.90 | (33) ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 29.82/7.90 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 29.82/7.90 | (35) ! [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)))))))
% 29.82/7.90 | (36) ! [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)))
% 29.82/7.91 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 29.82/7.91 | (38) ! [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)))
% 29.82/7.91 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 29.82/7.91 | (40) strictorderedP(nil) = 0
% 29.82/7.91 | (41) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 29.82/7.91 | (42) ssItem(all_0_0_0) = 0
% 29.82/7.91 | (43) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 29.82/7.91 | (44) ! [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)))
% 29.82/7.91 | (45) singletonP(nil) = all_0_11_11
% 29.82/7.91 | (46) ! [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)))
% 29.82/7.91 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 29.82/7.91 | (48) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.82/7.91 | (49) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.82/7.91 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 29.82/7.91 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 29.82/7.91 | (52) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 29.82/7.91 | (53) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 29.82/7.91 | (54) ! [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)))
% 29.82/7.91 | (55) ! [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))))
% 29.82/7.91 | (56) ! [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))))
% 29.82/7.91 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 29.82/7.91 | (58) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.82/7.91 | (59) ! [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)))))))
% 29.82/7.91 | (60) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 29.82/7.91 | (61) ! [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)))))
% 29.82/7.91 | (62) ! [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)))))))
% 29.82/7.91 | (63) cyclefreeP(nil) = 0
% 29.82/7.91 | (64) ! [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)))
% 29.82/7.91 | (65) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.82/7.91 | (66) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 29.82/7.91 | (67) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 29.82/7.91 | (68) ! [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))))))))
% 29.82/7.91 | (69) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.82/7.91 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 29.82/7.91 | (71) ~ (all_0_0_0 = all_0_1_1)
% 29.82/7.91 | (72) ! [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)))))))
% 29.82/7.92 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 29.82/7.92 | (74) ! [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)))
% 29.82/7.92 | (75) ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & ~ (all_0_5_5 = all_0_8_8) & leq(all_0_5_5, all_0_8_8) = 0 & memberP(all_0_9_9, all_0_5_5) = 0 & ssItem(all_0_5_5) = 0)
% 29.82/7.92 | (76) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 29.82/7.92 | (77) ssList(all_0_9_9) = 0
% 29.82/7.92 | (78) ! [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)))
% 29.82/7.92 | (79) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 29.82/7.92 | (80) ! [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)))
% 29.82/7.92 | (81) ! [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)))))))
% 29.82/7.92 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 29.82/7.92 | (83) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.82/7.92 | (84) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 29.82/7.92 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 29.82/7.92 | (86) memberP(all_0_10_10, all_0_8_8) = all_0_7_7
% 29.82/7.92 | (87) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.82/7.92 | (88) ! [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)))))
% 29.82/7.92 | (89) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 29.82/7.92 | (90) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.82/7.92 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 29.82/7.92 | (92) ! [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)))
% 29.82/7.92 | (93) all_0_7_7 = 0 | (all_0_6_6 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))
% 29.82/7.92 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 29.82/7.92 | (95) memberP(all_0_9_9, all_0_8_8) = all_0_6_6
% 29.82/7.92 | (96) ssItem(all_0_1_1) = 0
% 29.82/7.92 | (97) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.82/7.92 | (98) ! [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)))
% 29.82/7.92 | (99) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.05/7.92 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0)))))))
% 30.05/7.92 | (101) ssList(nil) = 0
% 30.05/7.92 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 30.05/7.92 | (103) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.05/7.92 | (104) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 30.05/7.92 | (105) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 30.05/7.92 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 30.05/7.92 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5)))
% 30.05/7.93 | (108) ! [v0] : ! [v1] : ( ~ (memberP(all_0_10_10, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (memberP(all_0_9_9, v0) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & ~ (v4 = v0) & leq(v4, v0) = 0 & memberP(all_0_9_9, v4) = 0 & ssItem(v4) = 0)) & ( ~ (v1 = 0) | (v3 = 0 & ! [v8] : (v8 = v0 | ~ (memberP(all_0_9_9, v8) = 0) | ? [v9] : ? [v10] : (leq(v8, v0) = v10 & ssItem(v8) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0))))))))))
% 30.05/7.93 | (109) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 30.05/7.93 | (110) strictorderP(nil) = 0
% 30.05/7.93 | (111) ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2)))
% 30.05/7.93 | (112) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 30.05/7.93 | (113) ~ (all_0_11_11 = 0)
% 30.05/7.93 | (114) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.05/7.93 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4)))
% 30.05/7.93 | (116) duplicatefreeP(nil) = 0
% 30.05/7.93 | (117) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.05/7.93 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6)))
% 30.05/7.93 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4)))
% 30.05/7.93 | (120) totalorderP(nil) = 0
% 30.05/7.93 | (121) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 30.05/7.93 | (122) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.05/7.93 | (123) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 30.05/7.93 | (124) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 30.05/7.93 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5)))
% 30.05/7.93 | (126) ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2)))
% 30.05/7.93 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5)))
% 30.05/7.93 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 30.05/7.93 | (129) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 30.05/7.93 | (130) ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 30.05/7.93 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 30.05/7.93 | (132) ssItem(all_0_8_8) = 0
% 30.05/7.93 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 30.05/7.93 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 30.05/7.93 | (135) ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2)))
% 30.05/7.93 | (136) ! [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))))
% 30.05/7.93 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1))))
% 30.05/7.93 | (138) ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 30.05/7.93 | (139) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 30.05/7.93 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 30.05/7.93 | (141) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 30.05/7.93 | (142) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 30.05/7.94 | (143) totalorderedP(nil) = 0
% 30.05/7.94 | (144) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 30.05/7.94 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 30.05/7.94 | (146) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.05/7.94 | (147) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 30.05/7.94 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12)))))))
% 30.05/7.94 | (149) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 30.05/7.94 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8)))
% 30.05/7.94 |
% 30.05/7.94 | Instantiating formula (108) with all_0_6_6, all_0_8_8 yields:
% 30.05/7.94 | (151) ~ (memberP(all_0_10_10, all_0_8_8) = all_0_6_6) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (memberP(all_0_9_9, all_0_8_8) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_0_6_6 = 0 | (v5 = 0 & v4 = 0 & v3 = 0 & ~ (v2 = all_0_8_8) & leq(v2, all_0_8_8) = 0 & memberP(all_0_9_9, v2) = 0 & ssItem(v2) = 0)) & ( ~ (all_0_6_6 = 0) | (v1 = 0 & ! [v6] : (v6 = all_0_8_8 | ~ (memberP(all_0_9_9, v6) = 0) | ? [v7] : ? [v8] : (leq(v6, all_0_8_8) = v8 & ssItem(v6) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))))))))
% 30.05/7.94 |
% 30.05/7.94 | Instantiating formula (108) with all_0_7_7, all_0_8_8 and discharging atoms memberP(all_0_10_10, all_0_8_8) = all_0_7_7, yields:
% 30.05/7.94 | (152) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (memberP(all_0_9_9, all_0_8_8) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_0_7_7 = 0 | (v5 = 0 & v4 = 0 & v3 = 0 & ~ (v2 = all_0_8_8) & leq(v2, all_0_8_8) = 0 & memberP(all_0_9_9, v2) = 0 & ssItem(v2) = 0)) & ( ~ (all_0_7_7 = 0) | (v1 = 0 & ! [v6] : (v6 = all_0_8_8 | ~ (memberP(all_0_9_9, v6) = 0) | ? [v7] : ? [v8] : (leq(v6, all_0_8_8) = v8 & ssItem(v6) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))))))))
% 30.05/7.94 |
% 30.05/7.94 | Instantiating (152) with all_8_0_12, all_8_1_13, all_8_2_14, all_8_3_15, all_8_4_16, all_8_5_17 yields:
% 30.05/7.94 | (153) memberP(all_0_9_9, all_0_8_8) = all_8_4_16 & ssItem(all_0_8_8) = all_8_5_17 & ( ~ (all_8_5_17 = 0) | (( ~ (all_8_4_16 = 0) | all_0_7_7 = 0 | (all_8_0_12 = 0 & all_8_1_13 = 0 & all_8_2_14 = 0 & ~ (all_8_3_15 = all_0_8_8) & leq(all_8_3_15, all_0_8_8) = 0 & memberP(all_0_9_9, all_8_3_15) = 0 & ssItem(all_8_3_15) = 0)) & ( ~ (all_0_7_7 = 0) | (all_8_4_16 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))))))
% 30.05/7.94 |
% 30.05/7.94 | Applying alpha-rule on (153) yields:
% 30.05/7.94 | (154) memberP(all_0_9_9, all_0_8_8) = all_8_4_16
% 30.05/7.94 | (155) ssItem(all_0_8_8) = all_8_5_17
% 30.05/7.94 | (156) ~ (all_8_5_17 = 0) | (( ~ (all_8_4_16 = 0) | all_0_7_7 = 0 | (all_8_0_12 = 0 & all_8_1_13 = 0 & all_8_2_14 = 0 & ~ (all_8_3_15 = all_0_8_8) & leq(all_8_3_15, all_0_8_8) = 0 & memberP(all_0_9_9, all_8_3_15) = 0 & ssItem(all_8_3_15) = 0)) & ( ~ (all_0_7_7 = 0) | (all_8_4_16 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))))
% 30.05/7.94 |
% 30.05/7.94 | Instantiating formula (73) with all_0_9_9, all_0_8_8, all_8_4_16, all_0_6_6 and discharging atoms memberP(all_0_9_9, all_0_8_8) = all_8_4_16, memberP(all_0_9_9, all_0_8_8) = all_0_6_6, yields:
% 30.05/7.94 | (157) all_8_4_16 = all_0_6_6
% 30.05/7.94 |
% 30.05/7.94 | Instantiating formula (31) with all_0_8_8, all_8_5_17, 0 and discharging atoms ssItem(all_0_8_8) = all_8_5_17, ssItem(all_0_8_8) = 0, yields:
% 30.05/7.94 | (158) all_8_5_17 = 0
% 30.05/7.94 |
% 30.05/7.94 | From (158) and (155) follows:
% 30.05/7.94 | (132) ssItem(all_0_8_8) = 0
% 30.05/7.94 |
% 30.05/7.94 +-Applying beta-rule and splitting (93), into two cases.
% 30.05/7.94 |-Branch one:
% 30.05/7.94 | (160) all_0_7_7 = 0
% 30.05/7.94 |
% 30.05/7.94 | From (160) and (86) follows:
% 30.05/7.94 | (161) memberP(all_0_10_10, all_0_8_8) = 0
% 30.05/7.94 |
% 30.05/7.94 +-Applying beta-rule and splitting (156), into two cases.
% 30.05/7.94 |-Branch one:
% 30.05/7.94 | (162) ~ (all_8_5_17 = 0)
% 30.05/7.94 |
% 30.05/7.94 | Equations (158) can reduce 162 to:
% 30.05/7.94 | (163) $false
% 30.05/7.94 |
% 30.05/7.94 |-The branch is then unsatisfiable
% 30.05/7.94 |-Branch two:
% 30.05/7.94 | (158) all_8_5_17 = 0
% 30.05/7.94 | (165) ( ~ (all_8_4_16 = 0) | all_0_7_7 = 0 | (all_8_0_12 = 0 & all_8_1_13 = 0 & all_8_2_14 = 0 & ~ (all_8_3_15 = all_0_8_8) & leq(all_8_3_15, all_0_8_8) = 0 & memberP(all_0_9_9, all_8_3_15) = 0 & ssItem(all_8_3_15) = 0)) & ( ~ (all_0_7_7 = 0) | (all_8_4_16 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))))
% 30.05/7.95 |
% 30.05/7.95 | Applying alpha-rule on (165) yields:
% 30.05/7.95 | (166) ~ (all_8_4_16 = 0) | all_0_7_7 = 0 | (all_8_0_12 = 0 & all_8_1_13 = 0 & all_8_2_14 = 0 & ~ (all_8_3_15 = all_0_8_8) & leq(all_8_3_15, all_0_8_8) = 0 & memberP(all_0_9_9, all_8_3_15) = 0 & ssItem(all_8_3_15) = 0)
% 30.05/7.95 | (167) ~ (all_0_7_7 = 0) | (all_8_4_16 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))
% 30.05/7.95 |
% 30.05/7.95 +-Applying beta-rule and splitting (167), into two cases.
% 30.05/7.95 |-Branch one:
% 30.05/7.95 | (168) ~ (all_0_7_7 = 0)
% 30.05/7.95 |
% 30.05/7.95 | Equations (160) can reduce 168 to:
% 30.05/7.95 | (163) $false
% 30.05/7.95 |
% 30.05/7.95 |-The branch is then unsatisfiable
% 30.05/7.95 |-Branch two:
% 30.05/7.95 | (160) all_0_7_7 = 0
% 30.05/7.95 | (171) all_8_4_16 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 30.05/7.95 |
% 30.05/7.95 | Applying alpha-rule on (171) yields:
% 30.05/7.95 | (172) all_8_4_16 = 0
% 30.05/7.95 | (173) ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 30.05/7.95 |
% 30.05/7.95 | Combining equations (172,157) yields a new equation:
% 30.05/7.95 | (174) all_0_6_6 = 0
% 30.05/7.95 |
% 30.05/7.95 +-Applying beta-rule and splitting (75), into two cases.
% 30.05/7.95 |-Branch one:
% 30.05/7.95 | (175) ~ (all_0_6_6 = 0)
% 30.05/7.95 |
% 30.05/7.95 | Equations (174) can reduce 175 to:
% 30.05/7.95 | (163) $false
% 30.05/7.95 |
% 30.05/7.95 |-The branch is then unsatisfiable
% 30.05/7.95 |-Branch two:
% 30.05/7.95 | (174) all_0_6_6 = 0
% 30.05/7.95 | (178) ~ (all_0_7_7 = 0) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & ~ (all_0_5_5 = all_0_8_8) & leq(all_0_5_5, all_0_8_8) = 0 & memberP(all_0_9_9, all_0_5_5) = 0 & ssItem(all_0_5_5) = 0)
% 30.05/7.95 |
% 30.05/7.95 +-Applying beta-rule and splitting (151), into two cases.
% 30.05/7.95 |-Branch one:
% 30.05/7.95 | (179) ~ (memberP(all_0_10_10, all_0_8_8) = all_0_6_6)
% 30.05/7.95 |
% 30.05/7.95 | From (174) and (179) follows:
% 30.05/7.95 | (180) ~ (memberP(all_0_10_10, all_0_8_8) = 0)
% 30.05/7.95 |
% 30.05/7.95 | Using (161) and (180) yields:
% 30.05/7.95 | (181) $false
% 30.05/7.95 |
% 30.05/7.95 |-The branch is then unsatisfiable
% 30.05/7.95 |-Branch two:
% 30.05/7.95 | (182) memberP(all_0_10_10, all_0_8_8) = all_0_6_6
% 30.05/7.95 | (183) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (memberP(all_0_9_9, all_0_8_8) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_0_6_6 = 0 | (v5 = 0 & v4 = 0 & v3 = 0 & ~ (v2 = all_0_8_8) & leq(v2, all_0_8_8) = 0 & memberP(all_0_9_9, v2) = 0 & ssItem(v2) = 0)) & ( ~ (all_0_6_6 = 0) | (v1 = 0 & ! [v6] : (v6 = all_0_8_8 | ~ (memberP(all_0_9_9, v6) = 0) | ? [v7] : ? [v8] : (leq(v6, all_0_8_8) = v8 & ssItem(v6) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))))))))
% 30.05/7.95 |
% 30.05/7.95 | Instantiating (183) with all_37_0_18, all_37_1_19, all_37_2_20, all_37_3_21, all_37_4_22, all_37_5_23 yields:
% 30.05/7.95 | (184) memberP(all_0_9_9, all_0_8_8) = all_37_4_22 & ssItem(all_0_8_8) = all_37_5_23 & ( ~ (all_37_5_23 = 0) | (( ~ (all_37_4_22 = 0) | all_0_6_6 = 0 | (all_37_0_18 = 0 & all_37_1_19 = 0 & all_37_2_20 = 0 & ~ (all_37_3_21 = all_0_8_8) & leq(all_37_3_21, all_0_8_8) = 0 & memberP(all_0_9_9, all_37_3_21) = 0 & ssItem(all_37_3_21) = 0)) & ( ~ (all_0_6_6 = 0) | (all_37_4_22 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))))))
% 30.05/7.95 |
% 30.05/7.95 | Applying alpha-rule on (184) yields:
% 30.05/7.95 | (185) memberP(all_0_9_9, all_0_8_8) = all_37_4_22
% 30.05/7.95 | (186) ssItem(all_0_8_8) = all_37_5_23
% 30.05/7.95 | (187) ~ (all_37_5_23 = 0) | (( ~ (all_37_4_22 = 0) | all_0_6_6 = 0 | (all_37_0_18 = 0 & all_37_1_19 = 0 & all_37_2_20 = 0 & ~ (all_37_3_21 = all_0_8_8) & leq(all_37_3_21, all_0_8_8) = 0 & memberP(all_0_9_9, all_37_3_21) = 0 & ssItem(all_37_3_21) = 0)) & ( ~ (all_0_6_6 = 0) | (all_37_4_22 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))))
% 30.05/7.95 |
% 30.05/7.95 +-Applying beta-rule and splitting (178), into two cases.
% 30.05/7.95 |-Branch one:
% 30.05/7.95 | (168) ~ (all_0_7_7 = 0)
% 30.05/7.95 |
% 30.05/7.95 | Equations (160) can reduce 168 to:
% 30.05/7.95 | (163) $false
% 30.05/7.95 |
% 30.05/7.95 |-The branch is then unsatisfiable
% 30.05/7.95 |-Branch two:
% 30.05/7.95 | (160) all_0_7_7 = 0
% 30.18/7.95 | (191) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & ~ (all_0_5_5 = all_0_8_8) & leq(all_0_5_5, all_0_8_8) = 0 & memberP(all_0_9_9, all_0_5_5) = 0 & ssItem(all_0_5_5) = 0
% 30.18/7.95 |
% 30.18/7.95 | Applying alpha-rule on (191) yields:
% 30.18/7.95 | (192) all_0_4_4 = 0
% 30.18/7.95 | (193) all_0_2_2 = 0
% 30.18/7.95 | (194) all_0_3_3 = 0
% 30.18/7.95 | (195) ~ (all_0_5_5 = all_0_8_8)
% 30.18/7.95 | (196) leq(all_0_5_5, all_0_8_8) = 0
% 30.18/7.95 | (197) memberP(all_0_9_9, all_0_5_5) = 0
% 30.18/7.95 | (198) ssItem(all_0_5_5) = 0
% 30.18/7.95 |
% 30.18/7.95 | Instantiating formula (31) with all_0_8_8, all_37_5_23, 0 and discharging atoms ssItem(all_0_8_8) = all_37_5_23, ssItem(all_0_8_8) = 0, yields:
% 30.18/7.95 | (199) all_37_5_23 = 0
% 30.18/7.95 |
% 30.18/7.95 +-Applying beta-rule and splitting (187), into two cases.
% 30.18/7.95 |-Branch one:
% 30.18/7.95 | (200) ~ (all_37_5_23 = 0)
% 30.18/7.95 |
% 30.18/7.95 | Equations (199) can reduce 200 to:
% 30.18/7.95 | (163) $false
% 30.18/7.95 |
% 30.18/7.95 |-The branch is then unsatisfiable
% 30.18/7.95 |-Branch two:
% 30.18/7.95 | (199) all_37_5_23 = 0
% 30.18/7.95 | (203) ( ~ (all_37_4_22 = 0) | all_0_6_6 = 0 | (all_37_0_18 = 0 & all_37_1_19 = 0 & all_37_2_20 = 0 & ~ (all_37_3_21 = all_0_8_8) & leq(all_37_3_21, all_0_8_8) = 0 & memberP(all_0_9_9, all_37_3_21) = 0 & ssItem(all_37_3_21) = 0)) & ( ~ (all_0_6_6 = 0) | (all_37_4_22 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))))
% 30.18/7.95 |
% 30.18/7.95 | Applying alpha-rule on (203) yields:
% 30.18/7.95 | (204) ~ (all_37_4_22 = 0) | all_0_6_6 = 0 | (all_37_0_18 = 0 & all_37_1_19 = 0 & all_37_2_20 = 0 & ~ (all_37_3_21 = all_0_8_8) & leq(all_37_3_21, all_0_8_8) = 0 & memberP(all_0_9_9, all_37_3_21) = 0 & ssItem(all_37_3_21) = 0)
% 30.18/7.95 | (205) ~ (all_0_6_6 = 0) | (all_37_4_22 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))
% 30.18/7.95 |
% 30.18/7.95 +-Applying beta-rule and splitting (205), into two cases.
% 30.18/7.95 |-Branch one:
% 30.18/7.95 | (175) ~ (all_0_6_6 = 0)
% 30.18/7.95 |
% 30.18/7.95 | Equations (174) can reduce 175 to:
% 30.18/7.95 | (163) $false
% 30.18/7.95 |
% 30.18/7.95 |-The branch is then unsatisfiable
% 30.18/7.95 |-Branch two:
% 30.18/7.95 | (174) all_0_6_6 = 0
% 30.18/7.96 | (209) all_37_4_22 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 30.18/7.96 |
% 30.18/7.96 | Applying alpha-rule on (209) yields:
% 30.18/7.96 | (210) all_37_4_22 = 0
% 30.18/7.96 | (173) ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 30.18/7.96 |
% 30.18/7.96 | Instantiating formula (173) with all_0_5_5 and discharging atoms memberP(all_0_9_9, all_0_5_5) = 0, yields:
% 30.18/7.96 | (212) all_0_5_5 = all_0_8_8 | ? [v0] : ? [v1] : (leq(all_0_5_5, all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 30.18/7.96 |
% 30.18/7.96 +-Applying beta-rule and splitting (212), into two cases.
% 30.18/7.96 |-Branch one:
% 30.18/7.96 | (213) all_0_5_5 = all_0_8_8
% 30.18/7.96 |
% 30.18/7.96 | Equations (213) can reduce 195 to:
% 30.18/7.96 | (163) $false
% 30.18/7.96 |
% 30.18/7.96 |-The branch is then unsatisfiable
% 30.18/7.96 |-Branch two:
% 30.18/7.96 | (195) ~ (all_0_5_5 = all_0_8_8)
% 30.18/7.96 | (216) ? [v0] : ? [v1] : (leq(all_0_5_5, all_0_8_8) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 30.18/7.96 |
% 30.18/7.96 | Instantiating (216) with all_88_0_52, all_88_1_53 yields:
% 30.18/7.96 | (217) leq(all_0_5_5, all_0_8_8) = all_88_0_52 & ssItem(all_0_5_5) = all_88_1_53 & ( ~ (all_88_0_52 = 0) | ~ (all_88_1_53 = 0))
% 30.18/7.96 |
% 30.18/7.96 | Applying alpha-rule on (217) yields:
% 30.18/7.96 | (218) leq(all_0_5_5, all_0_8_8) = all_88_0_52
% 30.18/7.96 | (219) ssItem(all_0_5_5) = all_88_1_53
% 30.18/7.96 | (220) ~ (all_88_0_52 = 0) | ~ (all_88_1_53 = 0)
% 30.18/7.96 |
% 30.18/7.96 | Instantiating formula (57) with all_0_5_5, all_0_8_8, all_88_0_52, 0 and discharging atoms leq(all_0_5_5, all_0_8_8) = all_88_0_52, leq(all_0_5_5, all_0_8_8) = 0, yields:
% 30.18/7.96 | (221) all_88_0_52 = 0
% 30.18/7.96 |
% 30.18/7.96 | Instantiating formula (31) with all_0_5_5, all_88_1_53, 0 and discharging atoms ssItem(all_0_5_5) = all_88_1_53, ssItem(all_0_5_5) = 0, yields:
% 30.18/7.96 | (222) all_88_1_53 = 0
% 30.18/7.96 |
% 30.18/7.96 +-Applying beta-rule and splitting (220), into two cases.
% 30.18/7.96 |-Branch one:
% 30.18/7.96 | (223) ~ (all_88_0_52 = 0)
% 30.18/7.96 |
% 30.18/7.96 | Equations (221) can reduce 223 to:
% 30.18/7.96 | (163) $false
% 30.18/7.96 |
% 30.18/7.96 |-The branch is then unsatisfiable
% 30.18/7.96 |-Branch two:
% 30.18/7.96 | (221) all_88_0_52 = 0
% 30.18/7.96 | (226) ~ (all_88_1_53 = 0)
% 30.18/7.96 |
% 30.18/7.96 | Equations (222) can reduce 226 to:
% 30.18/7.96 | (163) $false
% 30.18/7.96 |
% 30.18/7.96 |-The branch is then unsatisfiable
% 30.18/7.96 |-Branch two:
% 30.18/7.96 | (168) ~ (all_0_7_7 = 0)
% 30.18/7.96 | (229) all_0_6_6 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 30.18/7.96 |
% 30.18/7.96 | Applying alpha-rule on (229) yields:
% 30.18/7.96 | (174) all_0_6_6 = 0
% 30.18/7.96 | (173) ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 30.18/7.96 |
% 30.18/7.96 | Combining equations (174,157) yields a new equation:
% 30.18/7.96 | (172) all_8_4_16 = 0
% 30.18/7.96 |
% 30.18/7.96 +-Applying beta-rule and splitting (156), into two cases.
% 30.18/7.96 |-Branch one:
% 30.18/7.96 | (162) ~ (all_8_5_17 = 0)
% 30.18/7.96 |
% 30.18/7.96 | Equations (158) can reduce 162 to:
% 30.18/7.96 | (163) $false
% 30.18/7.96 |
% 30.18/7.96 |-The branch is then unsatisfiable
% 30.18/7.96 |-Branch two:
% 30.18/7.96 | (158) all_8_5_17 = 0
% 30.18/7.96 | (165) ( ~ (all_8_4_16 = 0) | all_0_7_7 = 0 | (all_8_0_12 = 0 & all_8_1_13 = 0 & all_8_2_14 = 0 & ~ (all_8_3_15 = all_0_8_8) & leq(all_8_3_15, all_0_8_8) = 0 & memberP(all_0_9_9, all_8_3_15) = 0 & ssItem(all_8_3_15) = 0)) & ( ~ (all_0_7_7 = 0) | (all_8_4_16 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))))
% 30.18/7.96 |
% 30.18/7.96 | Applying alpha-rule on (165) yields:
% 30.18/7.96 | (166) ~ (all_8_4_16 = 0) | all_0_7_7 = 0 | (all_8_0_12 = 0 & all_8_1_13 = 0 & all_8_2_14 = 0 & ~ (all_8_3_15 = all_0_8_8) & leq(all_8_3_15, all_0_8_8) = 0 & memberP(all_0_9_9, all_8_3_15) = 0 & ssItem(all_8_3_15) = 0)
% 30.18/7.96 | (167) ~ (all_0_7_7 = 0) | (all_8_4_16 = 0 & ! [v0] : (v0 = all_0_8_8 | ~ (memberP(all_0_9_9, v0) = 0) | ? [v1] : ? [v2] : (leq(v0, all_0_8_8) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))
% 30.18/7.96 |
% 30.18/7.96 +-Applying beta-rule and splitting (166), into two cases.
% 30.18/7.96 |-Branch one:
% 30.18/7.96 | (239) ~ (all_8_4_16 = 0)
% 30.18/7.96 |
% 30.18/7.96 | Equations (172) can reduce 239 to:
% 30.18/7.96 | (163) $false
% 30.18/7.96 |
% 30.18/7.96 |-The branch is then unsatisfiable
% 30.18/7.96 |-Branch two:
% 30.18/7.96 | (172) all_8_4_16 = 0
% 30.18/7.96 | (242) all_0_7_7 = 0 | (all_8_0_12 = 0 & all_8_1_13 = 0 & all_8_2_14 = 0 & ~ (all_8_3_15 = all_0_8_8) & leq(all_8_3_15, all_0_8_8) = 0 & memberP(all_0_9_9, all_8_3_15) = 0 & ssItem(all_8_3_15) = 0)
% 30.18/7.96 |
% 30.18/7.96 +-Applying beta-rule and splitting (242), into two cases.
% 30.18/7.96 |-Branch one:
% 30.18/7.96 | (160) all_0_7_7 = 0
% 30.18/7.96 |
% 30.18/7.96 | Equations (160) can reduce 168 to:
% 30.18/7.96 | (163) $false
% 30.18/7.96 |
% 30.18/7.96 |-The branch is then unsatisfiable
% 30.18/7.96 |-Branch two:
% 30.18/7.96 | (168) ~ (all_0_7_7 = 0)
% 30.18/7.96 | (246) all_8_0_12 = 0 & all_8_1_13 = 0 & all_8_2_14 = 0 & ~ (all_8_3_15 = all_0_8_8) & leq(all_8_3_15, all_0_8_8) = 0 & memberP(all_0_9_9, all_8_3_15) = 0 & ssItem(all_8_3_15) = 0
% 30.18/7.96 |
% 30.18/7.96 | Applying alpha-rule on (246) yields:
% 30.18/7.96 | (247) leq(all_8_3_15, all_0_8_8) = 0
% 30.18/7.96 | (248) all_8_2_14 = 0
% 30.18/7.96 | (249) memberP(all_0_9_9, all_8_3_15) = 0
% 30.18/7.96 | (250) all_8_1_13 = 0
% 30.18/7.96 | (251) all_8_0_12 = 0
% 30.18/7.96 | (252) ~ (all_8_3_15 = all_0_8_8)
% 30.18/7.96 | (253) ssItem(all_8_3_15) = 0
% 30.18/7.96 |
% 30.18/7.97 | Instantiating formula (173) with all_8_3_15 and discharging atoms memberP(all_0_9_9, all_8_3_15) = 0, yields:
% 30.18/7.97 | (254) all_8_3_15 = all_0_8_8 | ? [v0] : ? [v1] : (leq(all_8_3_15, all_0_8_8) = v1 & ssItem(all_8_3_15) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 30.18/7.97 |
% 30.18/7.97 | Instantiating formula (24) with all_0_8_8, all_8_3_15 and discharging atoms leq(all_8_3_15, all_0_8_8) = 0, ssItem(all_8_3_15) = 0, yields:
% 30.18/7.97 | (255) all_8_3_15 = all_0_8_8 | ? [v0] : ? [v1] : (leq(all_0_8_8, all_8_3_15) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 30.18/7.97 |
% 30.18/7.97 +-Applying beta-rule and splitting (255), into two cases.
% 30.18/7.97 |-Branch one:
% 30.18/7.97 | (256) all_8_3_15 = all_0_8_8
% 30.18/7.97 |
% 30.18/7.97 | Equations (256) can reduce 252 to:
% 30.18/7.97 | (163) $false
% 30.18/7.97 |
% 30.18/7.97 |-The branch is then unsatisfiable
% 30.18/7.97 |-Branch two:
% 30.18/7.97 | (252) ~ (all_8_3_15 = all_0_8_8)
% 30.18/7.97 | (259) ? [v0] : ? [v1] : (leq(all_0_8_8, all_8_3_15) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 30.18/7.97 |
% 30.18/7.97 +-Applying beta-rule and splitting (254), into two cases.
% 30.18/7.97 |-Branch one:
% 30.18/7.97 | (256) all_8_3_15 = all_0_8_8
% 30.18/7.97 |
% 30.18/7.97 | Equations (256) can reduce 252 to:
% 30.18/7.97 | (163) $false
% 30.18/7.97 |
% 30.18/7.97 |-The branch is then unsatisfiable
% 30.18/7.97 |-Branch two:
% 30.18/7.97 | (252) ~ (all_8_3_15 = all_0_8_8)
% 30.18/7.97 | (263) ? [v0] : ? [v1] : (leq(all_8_3_15, all_0_8_8) = v1 & ssItem(all_8_3_15) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 30.18/7.97 |
% 30.18/7.97 | Instantiating (263) with all_66_0_78, all_66_1_79 yields:
% 30.18/7.97 | (264) leq(all_8_3_15, all_0_8_8) = all_66_0_78 & ssItem(all_8_3_15) = all_66_1_79 & ( ~ (all_66_0_78 = 0) | ~ (all_66_1_79 = 0))
% 30.18/7.97 |
% 30.18/7.97 | Applying alpha-rule on (264) yields:
% 30.18/7.97 | (265) leq(all_8_3_15, all_0_8_8) = all_66_0_78
% 30.18/7.97 | (266) ssItem(all_8_3_15) = all_66_1_79
% 30.18/7.97 | (267) ~ (all_66_0_78 = 0) | ~ (all_66_1_79 = 0)
% 30.18/7.97 |
% 30.18/7.97 | Instantiating formula (57) with all_8_3_15, all_0_8_8, all_66_0_78, 0 and discharging atoms leq(all_8_3_15, all_0_8_8) = all_66_0_78, leq(all_8_3_15, all_0_8_8) = 0, yields:
% 30.18/7.97 | (268) all_66_0_78 = 0
% 30.18/7.97 |
% 30.18/7.97 | Instantiating formula (31) with all_8_3_15, all_66_1_79, 0 and discharging atoms ssItem(all_8_3_15) = all_66_1_79, ssItem(all_8_3_15) = 0, yields:
% 30.18/7.97 | (269) all_66_1_79 = 0
% 30.18/7.97 |
% 30.18/7.97 +-Applying beta-rule and splitting (267), into two cases.
% 30.18/7.97 |-Branch one:
% 30.18/7.97 | (270) ~ (all_66_0_78 = 0)
% 30.18/7.97 |
% 30.18/7.97 | Equations (268) can reduce 270 to:
% 30.18/7.97 | (163) $false
% 30.18/7.97 |
% 30.18/7.97 |-The branch is then unsatisfiable
% 30.18/7.97 |-Branch two:
% 30.18/7.97 | (268) all_66_0_78 = 0
% 30.18/7.97 | (273) ~ (all_66_1_79 = 0)
% 30.18/7.97 |
% 30.18/7.97 | Equations (269) can reduce 273 to:
% 30.18/7.97 | (163) $false
% 30.18/7.97 |
% 30.18/7.97 |-The branch is then unsatisfiable
% 30.18/7.97 % SZS output end Proof for theBenchmark
% 30.18/7.97
% 30.18/7.97 7288ms
%------------------------------------------------------------------------------