TSTP Solution File: SWC242+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC242+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 20:17:01 EDT 2022
% Result : Theorem 23.27s 6.56s
% Output : Proof 29.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC242+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 12 04:26:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.60/0.61 ____ _
% 0.60/0.61 ___ / __ \_____(_)___ ________ __________
% 0.60/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.61
% 0.60/0.61 A Theorem Prover for First-Order Logic
% 0.60/0.61 (ePrincess v.1.0)
% 0.60/0.61
% 0.60/0.61 (c) Philipp Rümmer, 2009-2015
% 0.60/0.61 (c) Peter Backeman, 2014-2015
% 0.60/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.61 Bug reports to peter@backeman.se
% 0.60/0.61
% 0.60/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.61
% 0.65/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.27/1.16 Prover 0: Preprocessing ...
% 4.76/1.77 Prover 0: Constructing countermodel ...
% 20.74/5.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.44/6.10 Prover 1: Preprocessing ...
% 22.41/6.33 Prover 1: Constructing countermodel ...
% 23.27/6.56 Prover 1: proved (577ms)
% 23.27/6.56 Prover 0: stopped
% 23.27/6.56
% 23.27/6.56 No countermodel exists, formula is valid
% 23.27/6.56 % SZS status Theorem for theBenchmark
% 23.27/6.56
% 23.27/6.56 Generating proof ... found it (size 165)
% 29.17/7.94
% 29.17/7.94 % SZS output start Proof for theBenchmark
% 29.17/7.94 Assumed formulas after preprocessing and simplification:
% 29.17/7.94 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & ~ (v1 = nil) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v7) = 0 & ssList(v5) = 0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & cons(v3, nil) = v4 & app(v6, v7) = v1 & app(v5, v4) = v6 & ssItem(v9) = 0 & ssItem(v8) = 0 & ssItem(v3) = 0 & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v13 = 0 | ~ (strictorderedP(v10) = 0) | ~ (lt(v11, v12) = v13) | ~ (ssList(v14) = 0) | ~ (cons(v12, v18) = v19) | ~ (cons(v11, v15) = v16) | ~ (app(v17, v19) = v10) | ~ (app(v14, v16) = v17) | ~ (ssItem(v11) = 0) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20) | ( ~ (v20 = 0) & ssList(v10) = v20) | ( ~ (v20 = 0) & ssItem(v12) = v20))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v13 = 0 | ~ (totalorderedP(v10) = 0) | ~ (leq(v11, v12) = v13) | ~ (ssList(v14) = 0) | ~ (cons(v12, v18) = v19) | ~ (cons(v11, v15) = v16) | ~ (app(v17, v19) = v10) | ~ (app(v14, v16) = v17) | ~ (ssItem(v11) = 0) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20) | ( ~ (v20 = 0) & ssList(v10) = v20) | ( ~ (v20 = 0) & ssItem(v12) = v20))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (duplicatefreeP(v10) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v11, v16) = v17) | ~ (cons(v11, v13) = v14) | ~ (app(v15, v17) = v10) | ~ (app(v12, v14) = v15) | ~ (ssItem(v11) = 0) | ? [v18] : (( ~ (v18 = 0) & ssList(v16) = v18) | ( ~ (v18 = 0) & ssList(v13) = v18) | ( ~ (v18 = 0) & ssList(v10) = v18))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (segmentP(v15, v11) = v16) | ~ (segmentP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ~ (app(v13, v14) = v15) | ~ (app(v12, v10) = v13) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v12) = v17) | ( ~ (v17 = 0) & ssList(v11) = v17))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v12 = v11 | ~ (equalelemsP(v10) = 0) | ~ (ssList(v13) = 0) | ~ (cons(v12, v14) = v15) | ~ (cons(v11, v15) = v16) | ~ (app(v13, v16) = v10) | ~ (ssItem(v12) = 0) | ~ (ssItem(v11) = 0) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v10) = v17))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (frontsegP(v13, v15) = v16) | ~ (cons(v11, v14) = v15) | ~ (cons(v10, v12) = v13) | ~ (ssItem(v11) = 0) | ~ (ssItem(v10) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v12) = v17) | (frontsegP(v12, v14) = v18 & ssList(v14) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v11 = v10) | v16 = 0) & ( ~ (v16 = 0) | (v18 = 0 & v11 = v10))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = 0 | ~ (segmentP(v10, v11) = v12) | ~ (ssList(v10) = 0) | ~ (app(v14, v15) = v10) | ~ (app(v13, v11) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v11) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = 0 | ~ (memberP(v10, v11) = v12) | ~ (ssList(v13) = 0) | ~ (ssList(v10) = 0) | ~ (cons(v11, v14) = v15) | ~ (app(v13, v15) = v10) | ? [v16] : (( ~ (v16 = 0) & ssList(v14) = v16) | ( ~ (v16 = 0) & ssItem(v11) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (memberP(v14, v10) = v15) | ~ (memberP(v11, v10) = v12) | ~ (app(v11, v13) = v14) | ~ (ssItem(v10) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v11) = v16) | (memberP(v13, v10) = v17 & ssList(v13) = v16 & ( ~ (v16 = 0) | (( ~ (v15 = 0) | v17 = 0 | v12 = 0) & (v15 = 0 | ( ~ (v17 = 0) & ~ (v12 = 0)))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (ssList(v11) = 0) | ~ (ssList(v10) = 0) | ~ (cons(v14, v11) = v13) | ~ (cons(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssItem(v14) = v15) | ( ~ (v15 = 0) & ssItem(v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (rearsegP(v13, v11) = v14) | ~ (rearsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ~ (app(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssList(v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (frontsegP(v13, v11) = v14) | ~ (frontsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ~ (app(v10, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssList(v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (ssList(v11) = 0) | ~ (ssList(v10) = 0) | ~ (cons(v14, v11) = v13) | ~ (cons(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssItem(v14) = v15) | ( ~ (v15 = 0) & ssItem(v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (memberP(v13, v10) = v14) | ~ (cons(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ~ (ssItem(v10) = 0) | ? [v15] : ? [v16] : (memberP(v12, v10) = v16 & ssList(v12) = v15 & ( ~ (v15 = 0) | (( ~ (v14 = 0) | v16 = 0 | v11 = v10) & (v14 = 0 | ( ~ (v16 = 0) & ~ (v11 = v10))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v10) = 0) | ~ (cons(v13, v12) = v14) | ~ (app(v11, v10) = v12) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & ssList(v11) = v15) | (cons(v13, v11) = v16 & app(v16, v10) = v17 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v17 = v14)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v10) = 0) | ~ (app(v12, v13) = v14) | ~ (app(v10, v11) = v12) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & ssList(v11) = v15) | (ssList(v13) = v15 & app(v11, v13) = v16 & app(v10, v16) = v17 & ( ~ (v15 = 0) | v17 = v14)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (cons(v10, nil) = v11) | ~ (app(v13, v14) = v1) | ~ (app(v12, v11) = v13) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v19 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & ~ (v20 = 0) & lt(v10, v15) = 0 & leq(v10, v15) = v20 & memberP(v14, v15) = 0 & memberP(v12, v15) = 0 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssItem(v10) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v10 | v10 = nil | ~ (tl(v10) = v12) | ~ (hd(v10) = v11) | ~ (cons(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v10 | ~ (ssList(v10) = 0) | ~ (app(v13, v11) = v12) | ~ (app(v10, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v13) = v14) | ( ~ (v14 = 0) & ssList(v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v10 | ~ (ssList(v10) = 0) | ~ (app(v11, v13) = v12) | ~ (app(v11, v10) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v13) = v14) | ( ~ (v14 = 0) & ssList(v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (gt(v10, v12) = v13) | ~ (gt(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (gt(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (geq(v10, v12) = v13) | ~ (geq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (geq(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (lt(v10, v12) = v13) | ~ (lt(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (lt(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (lt(v10, v12) = v13) | ~ (leq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (lt(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v10, v12) = v13) | ~ (leq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssItem(v11) = v14) | (leq(v11, v12) = v15 & ssItem(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (segmentP(v10, v12) = v13) | ~ (segmentP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v11) = v14) | (segmentP(v11, v12) = v15 & ssList(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v10, v12) = v13) | ~ (rearsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v11) = v14) | (rearsegP(v11, v12) = v15 & ssList(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v10, v12) = v13) | ~ (frontsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v11) = v14) | (frontsegP(v11, v12) = v15 & ssList(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (rearsegP(v10, v11) = v12) | ~ (ssList(v10) = 0) | ~ (app(v13, v11) = v10) | ? [v14] : (( ~ (v14 = 0) & ssList(v13) = v14) | ( ~ (v14 = 0) & ssList(v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (frontsegP(v10, v11) = v12) | ~ (ssList(v10) = 0) | ~ (app(v11, v13) = v10) | ? [v14] : (( ~ (v14 = 0) & ssList(v13) = v14) | ( ~ (v14 = 0) & ssList(v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (gt(v13, v12) = v11) | ~ (gt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (geq(v13, v12) = v11) | ~ (geq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (lt(v13, v12) = v11) | ~ (lt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (leq(v13, v12) = v11) | ~ (leq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (segmentP(v13, v12) = v11) | ~ (segmentP(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (rearsegP(v13, v12) = v11) | ~ (rearsegP(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (frontsegP(v13, v12) = v11) | ~ (frontsegP(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (memberP(v13, v12) = v11) | ~ (memberP(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (cons(v13, v12) = v11) | ~ (cons(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (app(v13, v12) = v11) | ~ (app(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (neq(v13, v12) = v11) | ~ (neq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = nil | ~ (tl(v10) = v11) | ~ (app(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (( ~ (v14 = 0) & ssList(v10) = v14) | (tl(v15) = v16 & ssList(v12) = v14 & app(v10, v12) = v15 & ( ~ (v14 = 0) | v16 = v13)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = nil | ~ (hd(v10) = v11) | ~ (app(v10, v12) = v13) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v10) = v14) | (hd(v13) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | v15 = v11)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (hd(v11) = v12) | ~ (lt(v10, v12) = v13) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (strictorderedP(v15) = v16 & strictorderedP(v11) = v17 & ssList(v11) = v14 & cons(v10, v11) = v15 & ( ~ (v14 = 0) | (( ~ (v16 = 0) | v11 = nil | (v17 = 0 & v13 = 0)) & (v16 = 0 | ( ~ (v11 = nil) & ( ~ (v17 = 0) | ~ (v13 = 0)))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (hd(v11) = v12) | ~ (leq(v10, v12) = v13) | ~ (ssItem(v10) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (totalorderedP(v15) = v16 & totalorderedP(v11) = v17 & ssList(v11) = v14 & cons(v10, v11) = v15 & ( ~ (v14 = 0) | (( ~ (v16 = 0) | v11 = nil | (v17 = 0 & v13 = 0)) & (v16 = 0 | ( ~ (v11 = nil) & ( ~ (v17 = 0) | ~ (v13 = 0)))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (strictorderP(v10) = 0) | ~ (lt(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v10) = v14) | (lt(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | v13 = 0 | ~ (ssList(v16) = 0) | ~ (cons(v12, v20) = v21) | ~ (cons(v11, v17) = v18) | ~ (app(v19, v21) = v10) | ~ (app(v16, v18) = v19) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (totalorderP(v10) = 0) | ~ (leq(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v10) = v14) | (leq(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | v13 = 0 | ~ (ssList(v16) = 0) | ~ (cons(v12, v20) = v21) | ~ (cons(v11, v17) = v18) | ~ (app(v19, v21) = v10) | ~ (app(v16, v18) = v19) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (cyclefreeP(v10) = 0) | ~ (leq(v11, v12) = v13) | ~ (ssItem(v11) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & ssList(v10) = v14) | (leq(v12, v11) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (v15 = 0) | ~ (v13 = 0) | ~ (ssList(v16) = 0) | ~ (cons(v12, v20) = v21) | ~ (cons(v11, v17) = v18) | ~ (app(v19, v21) = v10) | ~ (app(v16, v18) = v19) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, nil) = v12) | ~ (app(v12, v10) = v13) | ? [v14] : ? [v15] : (cons(v11, v10) = v15 & ssItem(v11) = v14 & ( ~ (v14 = 0) | v15 = v13))) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (lt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (leq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (ssList(v10) = 0) | ~ (neq(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (neq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ( ~ (v13 = 0) & ssItem(v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (tl(v12) = v11) | ~ (tl(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (hd(v12) = v11) | ~ (hd(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (equalelemsP(v12) = v11) | ~ (equalelemsP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (duplicatefreeP(v12) = v11) | ~ (duplicatefreeP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (strictorderedP(v12) = v11) | ~ (strictorderedP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (totalorderedP(v12) = v11) | ~ (totalorderedP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (strictorderP(v12) = v11) | ~ (strictorderP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (totalorderP(v12) = v11) | ~ (totalorderP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (cyclefreeP(v12) = v11) | ~ (cyclefreeP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (singletonP(v12) = v11) | ~ (singletonP(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (ssList(v12) = v11) | ~ (ssList(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (ssItem(v12) = v11) | ~ (ssItem(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (singletonP(v10) = v11) | ~ (cons(v12, nil) = v10) | ? [v13] : (( ~ (v13 = 0) & ssList(v10) = v13) | ( ~ (v13 = 0) & ssItem(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (gt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (lt(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | v12 = 0) & ( ~ (v12 = 0) | v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (geq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (leq(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | v12 = 0) & ( ~ (v12 = 0) | v14 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (lt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (leq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | v12 = 0 | v11 = v10) & ( ~ (v12 = 0) | (v14 = 0 & ~ (v11 = v10))))))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = v12) | ? [v13] : ? [v14] : (tl(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = v10))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = v12) | ? [v13] : ? [v14] : (hd(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = v11))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = v12) | ? [v13] : ? [v14] : (ssList(v12) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v10) = 0) | ~ (app(v10, v11) = v12) | ? [v13] : ? [v14] : (ssList(v12) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (geq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v12] : ? [v13] : (geq(v11, v10) = v13 & ssItem(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (leq(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v12] : ? [v13] : (leq(v11, v10) = v13 & ssItem(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (segmentP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : (segmentP(v11, v10) = v13 & ssList(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (rearsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : (rearsegP(v11, v10) = v13 & ssList(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (frontsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : (frontsegP(v11, v10) = v13 & ssList(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = v10 | ~ (app(v10, nil) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (app(nil, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = nil | ~ (ssList(v10) = 0) | ~ (app(v10, v11) = nil) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (geq(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssItem(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (equalelemsP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v22 = v10 & v19 = 0 & v17 = 0 & v15 = 0 & v13 = 0 & ~ (v14 = v12) & ssList(v18) = 0 & ssList(v16) = 0 & cons(v14, v18) = v20 & cons(v12, v20) = v21 & app(v16, v21) = v10 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (duplicatefreeP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v10 & v23 = 0 & v19 = 0 & v17 = 0 & v15 = 0 & v14 = v12 & v13 = 0 & ssList(v22) = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v12, v22) = v24 & cons(v12, v18) = v20 & app(v21, v24) = v10 & app(v16, v20) = v21 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (strictorderedP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v10 & v24 = 0 & v20 = 0 & v18 = 0 & v15 = 0 & v13 = 0 & ~ (v16 = 0) & lt(v12, v14) = v16 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v14, v23) = v25 & cons(v12, v19) = v21 & app(v22, v25) = v10 & app(v17, v21) = v22 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (totalorderedP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v10 & v24 = 0 & v20 = 0 & v18 = 0 & v15 = 0 & v13 = 0 & ~ (v16 = 0) & leq(v12, v14) = v16 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v14, v23) = v25 & cons(v12, v19) = v21 & app(v22, v25) = v10 & app(v17, v21) = v22 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (strictorderP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v10 & v25 = 0 & v21 = 0 & v19 = 0 & v15 = 0 & v13 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & lt(v14, v12) = v17 & lt(v12, v14) = v16 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v12, v20) = v22 & app(v23, v26) = v10 & app(v18, v22) = v23 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (totalorderP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v10 & v25 = 0 & v21 = 0 & v19 = 0 & v15 = 0 & v13 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & leq(v14, v12) = v17 & leq(v12, v14) = v16 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v12, v20) = v22 & app(v23, v26) = v10 & app(v18, v22) = v23 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (cyclefreeP(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v10 & v25 = 0 & v21 = 0 & v19 = 0 & v17 = 0 & v16 = 0 & v15 = 0 & v13 = 0 & leq(v14, v12) = 0 & leq(v12, v14) = 0 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v12, v20) = v22 & app(v23, v26) = v10 & app(v18, v22) = v23 & ssItem(v14) = 0 & ssItem(v12) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v11 = 0 | ~ (leq(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssItem(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (segmentP(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (segmentP(v10, nil) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (rearsegP(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (rearsegP(v10, nil) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (frontsegP(v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (frontsegP(v10, nil) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v10] : ! [v11] : (v10 = nil | ~ (tl(v10) = v11) | ? [v12] : ? [v13] : (ssList(v11) = v13 & ssList(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : (v10 = nil | ~ (tl(v10) = v11) | ? [v12] : ? [v13] : ((v13 = 0 & v12 = v11 & ssList(v11) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v10 = nil | ~ (hd(v10) = v11) | ? [v12] : ? [v13] : (ssList(v10) = v12 & ssItem(v11) = v13 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : (v10 = nil | ~ (hd(v10) = v11) | ? [v12] : ? [v13] : ((v13 = 0 & v12 = v11 & ssItem(v11) = 0) | ( ~ (v12 = 0) & ssList(v10) = v12))) & ! [v10] : ! [v11] : (v10 = nil | ~ (ssList(v10) = 0) | ~ (app(v10, v11) = nil) | ? [v12] : ( ~ (v12 = 0) & ssList(v11) = v12)) & ! [v10] : ! [v11] : ( ~ (gt(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v12] : ? [v13] : (gt(v11, v10) = v13 & ssItem(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : ( ~ (tl(v10) = v11) | ? [v12] : ? [v13] : (hd(v10) = v13 & ssList(v10) = v12 & ( ~ (v12 = 0) | ! [v14] : (v14 = v10 | v14 = nil | v10 = nil | ~ (tl(v14) = v11) | ? [v15] : ? [v16] : (hd(v14) = v16 & ssList(v14) = v15 & ( ~ (v16 = v13) | ~ (v15 = 0))))))) & ! [v10] : ! [v11] : ( ~ (lt(v10, v11) = 0) | ~ (ssItem(v10) = 0) | ? [v12] : ? [v13] : (lt(v11, v10) = v13 & ssItem(v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : ( ~ (segmentP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v10 & v16 = 0 & v13 = 0 & ssList(v15) = 0 & ssList(v12) = 0 & app(v14, v15) = v10 & app(v12, v11) = v14) | ( ~ (v12 = 0) & ssList(v11) = v12))) & ! [v10] : ! [v11] : ( ~ (rearsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : ? [v14] : ((v14 = v10 & v13 = 0 & ssList(v12) = 0 & app(v12, v11) = v10) | ( ~ (v12 = 0) & ssList(v11) = v12))) & ! [v10] : ! [v11] : ( ~ (frontsegP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : ? [v14] : ((v14 = v10 & v13 = 0 & ssList(v12) = 0 & app(v11, v12) = v10) | ( ~ (v12 = 0) & ssList(v11) = v12))) & ! [v10] : ! [v11] : ( ~ (memberP(v10, v11) = 0) | ~ (ssList(v10) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v10 & v15 = 0 & v13 = 0 & ssList(v14) = 0 & ssList(v12) = 0 & cons(v11, v14) = v16 & app(v12, v16) = v10) | ( ~ (v12 = 0) & ssItem(v11) = v12))) & ! [v10] : ! [v11] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = v10) | ? [v12] : ( ~ (v12 = 0) & ssItem(v11) = v12)) & ! [v10] : ! [v11] : ( ~ (ssList(v10) = 0) | ~ (cons(v11, v10) = nil) | ? [v12] : ( ~ (v12 = 0) & ssItem(v11) = v12)) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (equalelemsP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (duplicatefreeP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (strictorderedP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (totalorderedP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (strictorderP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (totalorderP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : ! [v11] : ( ~ (cons(v10, nil) = v11) | ? [v12] : ? [v13] : (cyclefreeP(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v10] : (v10 = nil | ~ (segmentP(nil, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v10] : (v10 = nil | ~ (rearsegP(nil, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v10] : (v10 = nil | ~ (frontsegP(nil, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v10] : (v10 = nil | ~ (ssList(v10) = 0) | ? [v11] : ? [v12] : (ssList(v11) = 0 & cons(v12, v11) = v10 & ssItem(v12) = 0)) & ! [v10] : (v10 = nil | ~ (app(nil, nil) = v10)) & ! [v10] : (v10 = 0 | ~ (segmentP(nil, nil) = v10)) & ! [v10] : (v10 = 0 | ~ (rearsegP(nil, nil) = v10)) & ! [v10] : (v10 = 0 | ~ (frontsegP(nil, nil) = v10)) & ! [v10] : ( ~ (lt(v10, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v10] : ( ~ (singletonP(v10) = 0) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v10 & v12 = 0 & cons(v11, nil) = v10 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v10] : ( ~ (memberP(v5, v10) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (lt(v3, v10) = v14 & leq(v3, v10) = v12 & memberP(v7, v10) = v13 & ssItem(v10) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v11 = 0) | v12 = 0))) & ! [v10] : ( ~ (memberP(nil, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v10] : ( ~ (ssList(v10) = 0) | ~ (neq(v10, v10) = 0)) & ! [v10] : ( ~ (neq(v10, v10) = 0) | ~ (ssItem(v10) = 0)))
% 29.83/8.03 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 29.83/8.03 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_8_8 = nil) & ~ (all_0_9_9 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_9_9 & ssList(all_0_2_2) = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & ssList(all_0_8_8) = 0 & ssList(nil) = 0 & cons(all_0_6_6, nil) = all_0_5_5 & app(all_0_3_3, all_0_2_2) = all_0_8_8 & app(all_0_4_4, all_0_5_5) = all_0_3_3 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ssItem(all_0_6_6) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v0, nil) = v1) | ~ (app(v3, v4) = all_0_8_8) | ~ (app(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v9 = 0 & v8 = 0 & v7 = 0 & v6 = 0 & ~ (v10 = 0) & lt(v0, v5) = 0 & leq(v0, v5) = v10 & memberP(v4, v5) = 0 & memberP(v2, v5) = 0 & ssItem(v5) = 0) | ( ~ (v5 = 0) & ssList(v4) = v5) | ( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssItem(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (lt(all_0_6_6, v0) = v4 & leq(all_0_6_6, v0) = v2 & memberP(all_0_2_2, v0) = v3 & ssItem(v0) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v1 = 0) | v2 = 0))) & ! [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))
% 29.96/8.06 |
% 29.96/8.06 | Applying alpha-rule on (1) yields:
% 29.96/8.06 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 29.96/8.06 | (3) ! [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))))
% 29.96/8.06 | (4) singletonP(nil) = all_0_9_9
% 29.96/8.06 | (5) ! [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)))
% 29.96/8.07 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 29.96/8.07 | (7) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.96/8.07 | (8) ! [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)))))))
% 29.96/8.07 | (9) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 29.96/8.07 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4))))
% 29.96/8.07 | (11) ! [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)))))
% 29.96/8.07 | (12) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.07 | (13) ! [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)))
% 29.96/8.07 | (14) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.96/8.07 | (15) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.96/8.07 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 29.96/8.07 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 29.96/8.07 | (18) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.07 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 29.96/8.07 | (20) ! [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))))))))
% 29.96/8.07 | (21) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.96/8.07 | (22) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 29.96/8.07 | (23) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.96/8.07 | (24) ! [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))))))))
% 29.96/8.07 | (25) ! [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)))
% 29.96/8.07 | (26) ! [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)))))
% 29.96/8.07 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 29.96/8.07 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 29.96/8.07 | (29) ! [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)))
% 29.96/8.07 | (30) totalorderedP(nil) = 0
% 29.96/8.07 | (31) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 29.96/8.07 | (32) ! [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)))
% 29.96/8.07 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 29.96/8.07 | (34) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.07 | (35) ! [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)))))
% 29.96/8.07 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 29.96/8.08 | (37) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 29.96/8.08 | (38) ! [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)))))))
% 29.96/8.08 | (39) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.96/8.08 | (40) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 29.96/8.08 | (41) ! [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)))))))
% 29.96/8.08 | (42) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 29.96/8.08 | (43) ! [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)))
% 29.96/8.08 | (44) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.08 | (45) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.08 | (46) ~ (all_0_9_9 = 0)
% 29.96/8.08 | (47) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 29.96/8.08 | (48) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.96/8.08 | (49) ! [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)))
% 29.96/8.08 | (50) ! [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)))
% 29.96/8.08 | (51) ! [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)))))
% 29.96/8.08 | (52) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 29.96/8.08 | (53) ! [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)))
% 29.96/8.08 | (54) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.96/8.08 | (55) ssItem(all_0_6_6) = 0
% 29.96/8.08 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 29.96/8.08 | (57) ssItem(all_0_1_1) = 0
% 29.96/8.08 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 29.96/8.08 | (59) app(all_0_3_3, all_0_2_2) = all_0_8_8
% 29.96/8.08 | (60) ! [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)))
% 29.96/8.08 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 29.96/8.08 | (62) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 29.96/8.08 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 29.96/8.08 | (64) ssList(all_0_4_4) = 0
% 29.96/8.08 | (65) ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (lt(all_0_6_6, v0) = v4 & leq(all_0_6_6, v0) = v2 & memberP(all_0_2_2, v0) = v3 & ssItem(v0) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v1 = 0) | v2 = 0)))
% 29.96/8.08 | (66) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 29.96/8.08 | (67) cyclefreeP(nil) = 0
% 29.96/8.08 | (68) cons(all_0_6_6, nil) = all_0_5_5
% 29.96/8.08 | (69) ! [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)))))
% 29.96/8.08 | (70) equalelemsP(nil) = 0
% 29.96/8.08 | (71) ! [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)))
% 29.96/8.08 | (72) ! [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)))))))
% 29.96/8.08 | (73) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 29.96/8.08 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 29.96/8.08 | (75) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 29.96/8.08 | (76) ! [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)))
% 29.96/8.08 | (77) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.96/8.08 | (78) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 29.96/8.08 | (79) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 29.96/8.08 | (80) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 29.96/8.08 | (81) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 29.96/8.08 | (82) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.96/8.08 | (83) ! [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)))
% 29.96/8.08 | (84) ! [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)))
% 29.96/8.08 | (85) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.96/8.08 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 29.96/8.08 | (87) ! [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)))
% 29.96/8.09 | (88) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.09 | (89) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 29.96/8.09 | (90) duplicatefreeP(nil) = 0
% 29.96/8.09 | (91) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.96/8.09 | (92) ~ (all_0_8_8 = nil)
% 29.96/8.09 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 29.96/8.09 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 29.96/8.09 | (95) ! [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)))))))
% 29.96/8.09 | (96) ! [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))))))))
% 29.96/8.09 | (97) strictorderP(nil) = 0
% 29.96/8.09 | (98) ! [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)))
% 29.96/8.09 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 29.96/8.09 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 29.96/8.09 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 29.96/8.09 | (102) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 29.96/8.09 | (103) ssList(nil) = 0
% 29.96/8.09 | (104) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 29.96/8.09 | (105) ! [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)))))
% 29.96/8.09 | (106) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 29.96/8.09 | (107) totalorderP(nil) = 0
% 29.96/8.09 | (108) ! [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))))
% 29.96/8.09 | (109) ! [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)))
% 29.96/8.09 | (110) ! [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)))))))
% 29.96/8.09 | (111) ! [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)))))
% 29.96/8.09 | (112) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.96/8.09 | (113) ! [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)))))
% 29.96/8.09 | (114) ssList(all_0_8_8) = 0
% 29.96/8.09 | (115) ! [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)))
% 29.96/8.09 | (116) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 29.96/8.09 | (117) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 29.96/8.09 | (118) strictorderedP(nil) = 0
% 29.96/8.09 | (119) ! [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)))
% 29.96/8.09 | (120) ~ (all_0_0_0 = all_0_1_1)
% 29.96/8.09 | (121) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 29.96/8.09 | (122) ssItem(all_0_0_0) = 0
% 29.96/8.09 | (123) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.09 | (124) ! [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)))
% 29.96/8.09 | (125) ! [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)))
% 29.96/8.09 | (126) ! [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)))))))
% 29.96/8.09 | (127) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 29.96/8.09 | (128) app(all_0_4_4, all_0_5_5) = all_0_3_3
% 29.96/8.09 | (129) ! [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)))
% 29.96/8.09 | (130) ! [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)))
% 29.96/8.09 | (131) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 29.96/8.09 | (132) ! [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)))
% 29.96/8.09 | (133) ! [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)))
% 29.96/8.09 | (134) ! [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))))
% 29.96/8.09 | (135) ssList(all_0_2_2) = 0
% 29.96/8.09 | (136) ssList(all_0_7_7) = 0
% 29.96/8.09 | (137) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 29.96/8.09 | (138) ! [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)))
% 29.96/8.09 | (139) ! [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))))
% 29.96/8.09 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v0, nil) = v1) | ~ (app(v3, v4) = all_0_8_8) | ~ (app(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v9 = 0 & v8 = 0 & v7 = 0 & v6 = 0 & ~ (v10 = 0) & lt(v0, v5) = 0 & leq(v0, v5) = v10 & memberP(v4, v5) = 0 & memberP(v2, v5) = 0 & ssItem(v5) = 0) | ( ~ (v5 = 0) & ssList(v4) = v5) | ( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssItem(v0) = v5)))
% 29.96/8.09 | (141) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.09 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 29.96/8.09 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 29.96/8.09 | (144) ! [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)))))
% 29.96/8.09 | (145) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 29.96/8.10 | (146) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 29.96/8.10 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 29.96/8.10 | (148) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 29.96/8.10 | (149) ! [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)))
% 29.96/8.10 | (150) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 29.96/8.10 | (151) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 29.96/8.10 | (152) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 29.96/8.10 | (153) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (6) with all_0_5_5, all_0_6_6, nil and discharging atoms ssList(nil) = 0, cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (154) ? [v0] : ? [v1] : (tl(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (89) with all_0_5_5, all_0_6_6, nil and discharging atoms ssList(nil) = 0, cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (155) ? [v0] : ? [v1] : (hd(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = all_0_6_6))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (58) with all_0_5_5, all_0_6_6, nil and discharging atoms ssList(nil) = 0, cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (156) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (34) with all_0_5_5, all_0_6_6 and discharging atoms cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (157) ? [v0] : ? [v1] : (equalelemsP(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (88) with all_0_5_5, all_0_6_6 and discharging atoms cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (158) ? [v0] : ? [v1] : (duplicatefreeP(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (12) with all_0_5_5, all_0_6_6 and discharging atoms cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (159) ? [v0] : ? [v1] : (strictorderedP(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (45) with all_0_5_5, all_0_6_6 and discharging atoms cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (160) ? [v0] : ? [v1] : (totalorderedP(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (123) with all_0_5_5, all_0_6_6 and discharging atoms cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (161) ? [v0] : ? [v1] : (strictorderP(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (146) with all_0_5_5, all_0_6_6 and discharging atoms cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (162) ? [v0] : ? [v1] : (totalorderP(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (44) with all_0_5_5, all_0_6_6 and discharging atoms cons(all_0_6_6, nil) = all_0_5_5, yields:
% 29.96/8.10 | (163) ? [v0] : ? [v1] : (cyclefreeP(all_0_5_5) = v1 & ssItem(all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (116) with all_0_3_3, all_0_5_5, all_0_4_4 and discharging atoms ssList(all_0_4_4) = 0, app(all_0_4_4, all_0_5_5) = all_0_3_3, yields:
% 29.96/8.10 | (164) ? [v0] : ? [v1] : (ssList(all_0_3_3) = v1 & ssList(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (140) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms cons(all_0_6_6, nil) = all_0_5_5, app(all_0_3_3, all_0_2_2) = all_0_8_8, app(all_0_4_4, all_0_5_5) = all_0_3_3, yields:
% 29.96/8.10 | (165) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0 & ~ (v5 = 0) & lt(all_0_6_6, v0) = 0 & leq(all_0_6_6, v0) = v5 & memberP(all_0_2_2, v0) = 0 & memberP(all_0_4_4, v0) = 0 & ssItem(v0) = 0) | ( ~ (v0 = 0) & ssList(all_0_2_2) = v0) | ( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssItem(all_0_6_6) = v0))
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (165) with all_8_0_10, all_8_1_11, all_8_2_12, all_8_3_13, all_8_4_14, all_8_5_15 yields:
% 29.96/8.10 | (166) (all_8_1_11 = 0 & all_8_2_12 = 0 & all_8_3_13 = 0 & all_8_4_14 = 0 & ~ (all_8_0_10 = 0) & lt(all_0_6_6, all_8_5_15) = 0 & leq(all_0_6_6, all_8_5_15) = all_8_0_10 & memberP(all_0_2_2, all_8_5_15) = 0 & memberP(all_0_4_4, all_8_5_15) = 0 & ssItem(all_8_5_15) = 0) | ( ~ (all_8_5_15 = 0) & ssList(all_0_2_2) = all_8_5_15) | ( ~ (all_8_5_15 = 0) & ssList(all_0_4_4) = all_8_5_15) | ( ~ (all_8_5_15 = 0) & ssItem(all_0_6_6) = all_8_5_15)
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (164) with all_10_0_19, all_10_1_20 yields:
% 29.96/8.10 | (167) ssList(all_0_3_3) = all_10_0_19 & ssList(all_0_5_5) = all_10_1_20 & ( ~ (all_10_1_20 = 0) | all_10_0_19 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (167) yields:
% 29.96/8.10 | (168) ssList(all_0_3_3) = all_10_0_19
% 29.96/8.10 | (169) ssList(all_0_5_5) = all_10_1_20
% 29.96/8.10 | (170) ~ (all_10_1_20 = 0) | all_10_0_19 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (163) with all_12_0_21, all_12_1_22 yields:
% 29.96/8.10 | (171) cyclefreeP(all_0_5_5) = all_12_0_21 & ssItem(all_0_6_6) = all_12_1_22 & ( ~ (all_12_1_22 = 0) | all_12_0_21 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (171) yields:
% 29.96/8.10 | (172) cyclefreeP(all_0_5_5) = all_12_0_21
% 29.96/8.10 | (173) ssItem(all_0_6_6) = all_12_1_22
% 29.96/8.10 | (174) ~ (all_12_1_22 = 0) | all_12_0_21 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (162) with all_14_0_23, all_14_1_24 yields:
% 29.96/8.10 | (175) totalorderP(all_0_5_5) = all_14_0_23 & ssItem(all_0_6_6) = all_14_1_24 & ( ~ (all_14_1_24 = 0) | all_14_0_23 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (175) yields:
% 29.96/8.10 | (176) totalorderP(all_0_5_5) = all_14_0_23
% 29.96/8.10 | (177) ssItem(all_0_6_6) = all_14_1_24
% 29.96/8.10 | (178) ~ (all_14_1_24 = 0) | all_14_0_23 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (161) with all_16_0_25, all_16_1_26 yields:
% 29.96/8.10 | (179) strictorderP(all_0_5_5) = all_16_0_25 & ssItem(all_0_6_6) = all_16_1_26 & ( ~ (all_16_1_26 = 0) | all_16_0_25 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (179) yields:
% 29.96/8.10 | (180) strictorderP(all_0_5_5) = all_16_0_25
% 29.96/8.10 | (181) ssItem(all_0_6_6) = all_16_1_26
% 29.96/8.10 | (182) ~ (all_16_1_26 = 0) | all_16_0_25 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (160) with all_18_0_27, all_18_1_28 yields:
% 29.96/8.10 | (183) totalorderedP(all_0_5_5) = all_18_0_27 & ssItem(all_0_6_6) = all_18_1_28 & ( ~ (all_18_1_28 = 0) | all_18_0_27 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (183) yields:
% 29.96/8.10 | (184) totalorderedP(all_0_5_5) = all_18_0_27
% 29.96/8.10 | (185) ssItem(all_0_6_6) = all_18_1_28
% 29.96/8.10 | (186) ~ (all_18_1_28 = 0) | all_18_0_27 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (159) with all_20_0_29, all_20_1_30 yields:
% 29.96/8.10 | (187) strictorderedP(all_0_5_5) = all_20_0_29 & ssItem(all_0_6_6) = all_20_1_30 & ( ~ (all_20_1_30 = 0) | all_20_0_29 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (187) yields:
% 29.96/8.10 | (188) strictorderedP(all_0_5_5) = all_20_0_29
% 29.96/8.10 | (189) ssItem(all_0_6_6) = all_20_1_30
% 29.96/8.10 | (190) ~ (all_20_1_30 = 0) | all_20_0_29 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (156) with all_22_0_31, all_22_1_32 yields:
% 29.96/8.10 | (191) ssList(all_0_5_5) = all_22_0_31 & ssItem(all_0_6_6) = all_22_1_32 & ( ~ (all_22_1_32 = 0) | all_22_0_31 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (191) yields:
% 29.96/8.10 | (192) ssList(all_0_5_5) = all_22_0_31
% 29.96/8.10 | (193) ssItem(all_0_6_6) = all_22_1_32
% 29.96/8.10 | (194) ~ (all_22_1_32 = 0) | all_22_0_31 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (155) with all_24_0_33, all_24_1_34 yields:
% 29.96/8.10 | (195) hd(all_0_5_5) = all_24_0_33 & ssItem(all_0_6_6) = all_24_1_34 & ( ~ (all_24_1_34 = 0) | all_24_0_33 = all_0_6_6)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (195) yields:
% 29.96/8.10 | (196) hd(all_0_5_5) = all_24_0_33
% 29.96/8.10 | (197) ssItem(all_0_6_6) = all_24_1_34
% 29.96/8.10 | (198) ~ (all_24_1_34 = 0) | all_24_0_33 = all_0_6_6
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (154) with all_26_0_35, all_26_1_36 yields:
% 29.96/8.10 | (199) tl(all_0_5_5) = all_26_0_35 & ssItem(all_0_6_6) = all_26_1_36 & ( ~ (all_26_1_36 = 0) | all_26_0_35 = nil)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (199) yields:
% 29.96/8.10 | (200) tl(all_0_5_5) = all_26_0_35
% 29.96/8.10 | (201) ssItem(all_0_6_6) = all_26_1_36
% 29.96/8.10 | (202) ~ (all_26_1_36 = 0) | all_26_0_35 = nil
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (158) with all_28_0_37, all_28_1_38 yields:
% 29.96/8.10 | (203) duplicatefreeP(all_0_5_5) = all_28_0_37 & ssItem(all_0_6_6) = all_28_1_38 & ( ~ (all_28_1_38 = 0) | all_28_0_37 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (203) yields:
% 29.96/8.10 | (204) duplicatefreeP(all_0_5_5) = all_28_0_37
% 29.96/8.10 | (205) ssItem(all_0_6_6) = all_28_1_38
% 29.96/8.10 | (206) ~ (all_28_1_38 = 0) | all_28_0_37 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating (157) with all_30_0_39, all_30_1_40 yields:
% 29.96/8.10 | (207) equalelemsP(all_0_5_5) = all_30_0_39 & ssItem(all_0_6_6) = all_30_1_40 & ( ~ (all_30_1_40 = 0) | all_30_0_39 = 0)
% 29.96/8.10 |
% 29.96/8.10 | Applying alpha-rule on (207) yields:
% 29.96/8.10 | (208) equalelemsP(all_0_5_5) = all_30_0_39
% 29.96/8.10 | (209) ssItem(all_0_6_6) = all_30_1_40
% 29.96/8.10 | (210) ~ (all_30_1_40 = 0) | all_30_0_39 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (47) with all_0_4_4, all_10_0_19, 0 and discharging atoms ssList(all_0_4_4) = 0, yields:
% 29.96/8.10 | (211) all_10_0_19 = 0 | ~ (ssList(all_0_4_4) = all_10_0_19)
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (47) with all_0_5_5, all_10_1_20, all_22_0_31 and discharging atoms ssList(all_0_5_5) = all_22_0_31, ssList(all_0_5_5) = all_10_1_20, yields:
% 29.96/8.10 | (212) all_22_0_31 = all_10_1_20
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_26_1_36, all_28_1_38 and discharging atoms ssItem(all_0_6_6) = all_28_1_38, ssItem(all_0_6_6) = all_26_1_36, yields:
% 29.96/8.10 | (213) all_28_1_38 = all_26_1_36
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_24_1_34, 0 and discharging atoms ssItem(all_0_6_6) = all_24_1_34, ssItem(all_0_6_6) = 0, yields:
% 29.96/8.10 | (214) all_24_1_34 = 0
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_22_1_32, all_26_1_36 and discharging atoms ssItem(all_0_6_6) = all_26_1_36, ssItem(all_0_6_6) = all_22_1_32, yields:
% 29.96/8.10 | (215) all_26_1_36 = all_22_1_32
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_20_1_30, all_30_1_40 and discharging atoms ssItem(all_0_6_6) = all_30_1_40, ssItem(all_0_6_6) = all_20_1_30, yields:
% 29.96/8.10 | (216) all_30_1_40 = all_20_1_30
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_20_1_30, all_24_1_34 and discharging atoms ssItem(all_0_6_6) = all_24_1_34, ssItem(all_0_6_6) = all_20_1_30, yields:
% 29.96/8.10 | (217) all_24_1_34 = all_20_1_30
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_18_1_28, all_28_1_38 and discharging atoms ssItem(all_0_6_6) = all_28_1_38, ssItem(all_0_6_6) = all_18_1_28, yields:
% 29.96/8.10 | (218) all_28_1_38 = all_18_1_28
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_16_1_26, all_28_1_38 and discharging atoms ssItem(all_0_6_6) = all_28_1_38, ssItem(all_0_6_6) = all_16_1_26, yields:
% 29.96/8.10 | (219) all_28_1_38 = all_16_1_26
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_16_1_26, all_20_1_30 and discharging atoms ssItem(all_0_6_6) = all_20_1_30, ssItem(all_0_6_6) = all_16_1_26, yields:
% 29.96/8.10 | (220) all_20_1_30 = all_16_1_26
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_14_1_24, all_30_1_40 and discharging atoms ssItem(all_0_6_6) = all_30_1_40, ssItem(all_0_6_6) = all_14_1_24, yields:
% 29.96/8.10 | (221) all_30_1_40 = all_14_1_24
% 29.96/8.10 |
% 29.96/8.10 | Instantiating formula (33) with all_0_6_6, all_12_1_22, all_26_1_36 and discharging atoms ssItem(all_0_6_6) = all_26_1_36, ssItem(all_0_6_6) = all_12_1_22, yields:
% 29.96/8.10 | (222) all_26_1_36 = all_12_1_22
% 29.96/8.10 |
% 29.96/8.11 | Combining equations (216,221) yields a new equation:
% 29.96/8.11 | (223) all_20_1_30 = all_14_1_24
% 29.96/8.11 |
% 29.96/8.11 | Simplifying 223 yields:
% 29.96/8.11 | (224) all_20_1_30 = all_14_1_24
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (213,218) yields a new equation:
% 29.96/8.11 | (225) all_26_1_36 = all_18_1_28
% 29.96/8.11 |
% 29.96/8.11 | Simplifying 225 yields:
% 29.96/8.11 | (226) all_26_1_36 = all_18_1_28
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (219,218) yields a new equation:
% 29.96/8.11 | (227) all_18_1_28 = all_16_1_26
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (222,215) yields a new equation:
% 29.96/8.11 | (228) all_22_1_32 = all_12_1_22
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (226,215) yields a new equation:
% 29.96/8.11 | (229) all_22_1_32 = all_18_1_28
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (217,214) yields a new equation:
% 29.96/8.11 | (230) all_20_1_30 = 0
% 29.96/8.11 |
% 29.96/8.11 | Simplifying 230 yields:
% 29.96/8.11 | (231) all_20_1_30 = 0
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (229,228) yields a new equation:
% 29.96/8.11 | (232) all_18_1_28 = all_12_1_22
% 29.96/8.11 |
% 29.96/8.11 | Simplifying 232 yields:
% 29.96/8.11 | (233) all_18_1_28 = all_12_1_22
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (220,224) yields a new equation:
% 29.96/8.11 | (234) all_16_1_26 = all_14_1_24
% 29.96/8.11 |
% 29.96/8.11 | Simplifying 234 yields:
% 29.96/8.11 | (235) all_16_1_26 = all_14_1_24
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (231,224) yields a new equation:
% 29.96/8.11 | (236) all_14_1_24 = 0
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (227,233) yields a new equation:
% 29.96/8.11 | (237) all_16_1_26 = all_12_1_22
% 29.96/8.11 |
% 29.96/8.11 | Simplifying 237 yields:
% 29.96/8.11 | (238) all_16_1_26 = all_12_1_22
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (235,238) yields a new equation:
% 29.96/8.11 | (239) all_14_1_24 = all_12_1_22
% 29.96/8.11 |
% 29.96/8.11 | Simplifying 239 yields:
% 29.96/8.11 | (240) all_14_1_24 = all_12_1_22
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (236,240) yields a new equation:
% 29.96/8.11 | (241) all_12_1_22 = 0
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (241,228) yields a new equation:
% 29.96/8.11 | (242) all_22_1_32 = 0
% 29.96/8.11 |
% 29.96/8.11 | From (241) and (173) follows:
% 29.96/8.11 | (55) ssItem(all_0_6_6) = 0
% 29.96/8.11 |
% 29.96/8.11 +-Applying beta-rule and splitting (194), into two cases.
% 29.96/8.11 |-Branch one:
% 29.96/8.11 | (244) ~ (all_22_1_32 = 0)
% 29.96/8.11 |
% 29.96/8.11 | Equations (242) can reduce 244 to:
% 29.96/8.11 | (245) $false
% 29.96/8.11 |
% 29.96/8.11 |-The branch is then unsatisfiable
% 29.96/8.11 |-Branch two:
% 29.96/8.11 | (242) all_22_1_32 = 0
% 29.96/8.11 | (247) all_22_0_31 = 0
% 29.96/8.11 |
% 29.96/8.11 | Combining equations (247,212) yields a new equation:
% 29.96/8.11 | (248) all_10_1_20 = 0
% 29.96/8.11 |
% 29.96/8.11 +-Applying beta-rule and splitting (166), into two cases.
% 29.96/8.11 |-Branch one:
% 29.96/8.11 | (249) (all_8_1_11 = 0 & all_8_2_12 = 0 & all_8_3_13 = 0 & all_8_4_14 = 0 & ~ (all_8_0_10 = 0) & lt(all_0_6_6, all_8_5_15) = 0 & leq(all_0_6_6, all_8_5_15) = all_8_0_10 & memberP(all_0_2_2, all_8_5_15) = 0 & memberP(all_0_4_4, all_8_5_15) = 0 & ssItem(all_8_5_15) = 0) | ( ~ (all_8_5_15 = 0) & ssList(all_0_2_2) = all_8_5_15) | ( ~ (all_8_5_15 = 0) & ssList(all_0_4_4) = all_8_5_15)
% 29.96/8.11 |
% 29.96/8.11 +-Applying beta-rule and splitting (249), into two cases.
% 29.96/8.11 |-Branch one:
% 29.96/8.11 | (250) (all_8_1_11 = 0 & all_8_2_12 = 0 & all_8_3_13 = 0 & all_8_4_14 = 0 & ~ (all_8_0_10 = 0) & lt(all_0_6_6, all_8_5_15) = 0 & leq(all_0_6_6, all_8_5_15) = all_8_0_10 & memberP(all_0_2_2, all_8_5_15) = 0 & memberP(all_0_4_4, all_8_5_15) = 0 & ssItem(all_8_5_15) = 0) | ( ~ (all_8_5_15 = 0) & ssList(all_0_2_2) = all_8_5_15)
% 29.96/8.11 |
% 29.96/8.11 +-Applying beta-rule and splitting (250), into two cases.
% 29.96/8.11 |-Branch one:
% 29.96/8.11 | (251) all_8_1_11 = 0 & all_8_2_12 = 0 & all_8_3_13 = 0 & all_8_4_14 = 0 & ~ (all_8_0_10 = 0) & lt(all_0_6_6, all_8_5_15) = 0 & leq(all_0_6_6, all_8_5_15) = all_8_0_10 & memberP(all_0_2_2, all_8_5_15) = 0 & memberP(all_0_4_4, all_8_5_15) = 0 & ssItem(all_8_5_15) = 0
% 29.96/8.11 |
% 29.96/8.11 | Applying alpha-rule on (251) yields:
% 29.96/8.11 | (252) memberP(all_0_4_4, all_8_5_15) = 0
% 29.96/8.11 | (253) all_8_2_12 = 0
% 29.96/8.11 | (254) lt(all_0_6_6, all_8_5_15) = 0
% 29.96/8.11 | (255) all_8_1_11 = 0
% 29.96/8.11 | (256) ~ (all_8_0_10 = 0)
% 29.96/8.11 | (257) ssItem(all_8_5_15) = 0
% 29.96/8.11 | (258) all_8_3_13 = 0
% 29.96/8.11 | (259) all_8_4_14 = 0
% 29.96/8.11 | (260) leq(all_0_6_6, all_8_5_15) = all_8_0_10
% 29.96/8.11 | (261) memberP(all_0_2_2, all_8_5_15) = 0
% 29.96/8.11 |
% 29.96/8.11 | Instantiating formula (8) with 0, all_8_5_15, all_0_6_6, nil and discharging atoms strictorderP(nil) = 0, lt(all_0_6_6, all_8_5_15) = 0, ssItem(all_0_6_6) = 0, yields:
% 29.96/8.11 | (262) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(nil) = v0) | (lt(all_8_5_15, all_0_6_6) = v1 & ssItem(all_8_5_15) = v0))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating formula (126) with 0, all_8_5_15, all_0_6_6 and discharging atoms lt(all_0_6_6, all_8_5_15) = 0, ssItem(all_0_6_6) = 0, yields:
% 29.96/8.11 | (263) ? [v0] : ? [v1] : (leq(all_0_6_6, all_8_5_15) = v1 & ssItem(all_8_5_15) = v0 & ( ~ (v0 = 0) | (v1 = 0 & ~ (all_8_5_15 = all_0_6_6))))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating formula (82) with all_8_5_15, all_0_6_6 and discharging atoms lt(all_0_6_6, all_8_5_15) = 0, ssItem(all_0_6_6) = 0, yields:
% 29.96/8.11 | (264) ? [v0] : ? [v1] : (lt(all_8_5_15, all_0_6_6) = v1 & ssItem(all_8_5_15) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating formula (110) with all_8_0_10, all_8_5_15, all_0_6_6, nil and discharging atoms totalorderP(nil) = 0, leq(all_0_6_6, all_8_5_15) = all_8_0_10, ssItem(all_0_6_6) = 0, yields:
% 29.96/8.11 | (265) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(nil) = v0) | (leq(all_8_5_15, all_0_6_6) = v1 & ssItem(all_8_5_15) = v0 & ( ~ (v0 = 0) | ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = 0 | all_8_0_10 = 0 | ~ (ssList(v2) = 0) | ~ (cons(all_8_5_15, v6) = v7) | ~ (cons(all_0_6_6, v3) = v4) | ~ (app(v5, v7) = nil) | ~ (app(v2, v4) = v5) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8))))))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating formula (72) with all_8_0_10, all_8_5_15, all_0_6_6, nil and discharging atoms cyclefreeP(nil) = 0, leq(all_0_6_6, all_8_5_15) = all_8_0_10, ssItem(all_0_6_6) = 0, yields:
% 29.96/8.11 | (266) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(nil) = v0) | (leq(all_8_5_15, all_0_6_6) = v1 & ssItem(all_8_5_15) = v0 & ( ~ (v0 = 0) | ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (v1 = 0) | ~ (all_8_0_10 = 0) | ~ (ssList(v2) = 0) | ~ (cons(all_8_5_15, v6) = v7) | ~ (cons(all_0_6_6, v3) = v4) | ~ (app(v5, v7) = nil) | ~ (app(v2, v4) = v5) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8))))))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating formula (65) with all_8_5_15 and discharging atoms memberP(all_0_4_4, all_8_5_15) = 0, yields:
% 29.96/8.11 | (267) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (lt(all_0_6_6, all_8_5_15) = v3 & leq(all_0_6_6, all_8_5_15) = v1 & memberP(all_0_2_2, all_8_5_15) = v2 & ssItem(all_8_5_15) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0) | v1 = 0))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating (267) with all_125_0_49, all_125_1_50, all_125_2_51, all_125_3_52 yields:
% 29.96/8.11 | (268) lt(all_0_6_6, all_8_5_15) = all_125_0_49 & leq(all_0_6_6, all_8_5_15) = all_125_2_51 & memberP(all_0_2_2, all_8_5_15) = all_125_1_50 & ssItem(all_8_5_15) = all_125_3_52 & ( ~ (all_125_0_49 = 0) | ~ (all_125_1_50 = 0) | ~ (all_125_3_52 = 0) | all_125_2_51 = 0)
% 29.96/8.11 |
% 29.96/8.11 | Applying alpha-rule on (268) yields:
% 29.96/8.11 | (269) ~ (all_125_0_49 = 0) | ~ (all_125_1_50 = 0) | ~ (all_125_3_52 = 0) | all_125_2_51 = 0
% 29.96/8.11 | (270) memberP(all_0_2_2, all_8_5_15) = all_125_1_50
% 29.96/8.11 | (271) lt(all_0_6_6, all_8_5_15) = all_125_0_49
% 29.96/8.11 | (272) ssItem(all_8_5_15) = all_125_3_52
% 29.96/8.11 | (273) leq(all_0_6_6, all_8_5_15) = all_125_2_51
% 29.96/8.11 |
% 29.96/8.11 | Instantiating (266) with all_133_0_65, all_133_1_66 yields:
% 29.96/8.11 | (274) ( ~ (all_133_1_66 = 0) & ssList(nil) = all_133_1_66) | (leq(all_8_5_15, all_0_6_6) = all_133_0_65 & ssItem(all_8_5_15) = all_133_1_66 & ( ~ (all_133_1_66 = 0) | ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (all_133_0_65 = 0) | ~ (all_8_0_10 = 0) | ~ (ssList(v0) = 0) | ~ (cons(all_8_5_15, v4) = v5) | ~ (cons(all_0_6_6, v1) = v2) | ~ (app(v3, v5) = nil) | ~ (app(v0, v2) = v3) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6)))))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating (265) with all_135_0_69, all_135_1_70 yields:
% 29.96/8.11 | (275) ( ~ (all_135_1_70 = 0) & ssList(nil) = all_135_1_70) | (leq(all_8_5_15, all_0_6_6) = all_135_0_69 & ssItem(all_8_5_15) = all_135_1_70 & ( ~ (all_135_1_70 = 0) | ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (all_135_0_69 = 0 | all_8_0_10 = 0 | ~ (ssList(v0) = 0) | ~ (cons(all_8_5_15, v4) = v5) | ~ (cons(all_0_6_6, v1) = v2) | ~ (app(v3, v5) = nil) | ~ (app(v0, v2) = v3) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6)))))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating (264) with all_136_0_71, all_136_1_72 yields:
% 29.96/8.11 | (276) lt(all_8_5_15, all_0_6_6) = all_136_0_71 & ssItem(all_8_5_15) = all_136_1_72 & ( ~ (all_136_0_71 = 0) | ~ (all_136_1_72 = 0))
% 29.96/8.11 |
% 29.96/8.11 | Applying alpha-rule on (276) yields:
% 29.96/8.11 | (277) lt(all_8_5_15, all_0_6_6) = all_136_0_71
% 29.96/8.11 | (278) ssItem(all_8_5_15) = all_136_1_72
% 29.96/8.11 | (279) ~ (all_136_0_71 = 0) | ~ (all_136_1_72 = 0)
% 29.96/8.11 |
% 29.96/8.11 | Instantiating (263) with all_139_0_79, all_139_1_80 yields:
% 29.96/8.11 | (280) leq(all_0_6_6, all_8_5_15) = all_139_0_79 & ssItem(all_8_5_15) = all_139_1_80 & ( ~ (all_139_1_80 = 0) | (all_139_0_79 = 0 & ~ (all_8_5_15 = all_0_6_6)))
% 29.96/8.11 |
% 29.96/8.11 | Applying alpha-rule on (280) yields:
% 29.96/8.11 | (281) leq(all_0_6_6, all_8_5_15) = all_139_0_79
% 29.96/8.11 | (282) ssItem(all_8_5_15) = all_139_1_80
% 29.96/8.11 | (283) ~ (all_139_1_80 = 0) | (all_139_0_79 = 0 & ~ (all_8_5_15 = all_0_6_6))
% 29.96/8.11 |
% 29.96/8.11 | Instantiating (262) with all_144_0_85, all_144_1_86 yields:
% 29.96/8.11 | (284) ( ~ (all_144_1_86 = 0) & ssList(nil) = all_144_1_86) | (lt(all_8_5_15, all_0_6_6) = all_144_0_85 & ssItem(all_8_5_15) = all_144_1_86)
% 29.96/8.11 |
% 29.96/8.11 +-Applying beta-rule and splitting (274), into two cases.
% 29.96/8.11 |-Branch one:
% 29.96/8.11 | (285) ~ (all_133_1_66 = 0) & ssList(nil) = all_133_1_66
% 29.96/8.11 |
% 29.96/8.11 | Applying alpha-rule on (285) yields:
% 29.96/8.11 | (286) ~ (all_133_1_66 = 0)
% 29.96/8.11 | (287) ssList(nil) = all_133_1_66
% 29.96/8.11 |
% 29.96/8.11 | Instantiating formula (47) with nil, all_133_1_66, 0 and discharging atoms ssList(nil) = all_133_1_66, ssList(nil) = 0, yields:
% 29.96/8.11 | (288) all_133_1_66 = 0
% 29.96/8.11 |
% 29.96/8.12 | Equations (288) can reduce 286 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (290) leq(all_8_5_15, all_0_6_6) = all_133_0_65 & ssItem(all_8_5_15) = all_133_1_66 & ( ~ (all_133_1_66 = 0) | ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (all_133_0_65 = 0) | ~ (all_8_0_10 = 0) | ~ (ssList(v0) = 0) | ~ (cons(all_8_5_15, v4) = v5) | ~ (cons(all_0_6_6, v1) = v2) | ~ (app(v3, v5) = nil) | ~ (app(v0, v2) = v3) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))))
% 29.96/8.12 |
% 29.96/8.12 | Applying alpha-rule on (290) yields:
% 29.96/8.12 | (291) leq(all_8_5_15, all_0_6_6) = all_133_0_65
% 29.96/8.12 | (292) ssItem(all_8_5_15) = all_133_1_66
% 29.96/8.12 | (293) ~ (all_133_1_66 = 0) | ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (all_133_0_65 = 0) | ~ (all_8_0_10 = 0) | ~ (ssList(v0) = 0) | ~ (cons(all_8_5_15, v4) = v5) | ~ (cons(all_0_6_6, v1) = v2) | ~ (app(v3, v5) = nil) | ~ (app(v0, v2) = v3) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6)))
% 29.96/8.12 |
% 29.96/8.12 +-Applying beta-rule and splitting (275), into two cases.
% 29.96/8.12 |-Branch one:
% 29.96/8.12 | (294) ~ (all_135_1_70 = 0) & ssList(nil) = all_135_1_70
% 29.96/8.12 |
% 29.96/8.12 | Applying alpha-rule on (294) yields:
% 29.96/8.12 | (295) ~ (all_135_1_70 = 0)
% 29.96/8.12 | (296) ssList(nil) = all_135_1_70
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (47) with nil, all_135_1_70, 0 and discharging atoms ssList(nil) = all_135_1_70, ssList(nil) = 0, yields:
% 29.96/8.12 | (297) all_135_1_70 = 0
% 29.96/8.12 |
% 29.96/8.12 | Equations (297) can reduce 295 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (299) leq(all_8_5_15, all_0_6_6) = all_135_0_69 & ssItem(all_8_5_15) = all_135_1_70 & ( ~ (all_135_1_70 = 0) | ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (all_135_0_69 = 0 | all_8_0_10 = 0 | ~ (ssList(v0) = 0) | ~ (cons(all_8_5_15, v4) = v5) | ~ (cons(all_0_6_6, v1) = v2) | ~ (app(v3, v5) = nil) | ~ (app(v0, v2) = v3) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))))
% 29.96/8.12 |
% 29.96/8.12 | Applying alpha-rule on (299) yields:
% 29.96/8.12 | (300) leq(all_8_5_15, all_0_6_6) = all_135_0_69
% 29.96/8.12 | (301) ssItem(all_8_5_15) = all_135_1_70
% 29.96/8.12 | (302) ~ (all_135_1_70 = 0) | ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (all_135_0_69 = 0 | all_8_0_10 = 0 | ~ (ssList(v0) = 0) | ~ (cons(all_8_5_15, v4) = v5) | ~ (cons(all_0_6_6, v1) = v2) | ~ (app(v3, v5) = nil) | ~ (app(v0, v2) = v3) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6)))
% 29.96/8.12 |
% 29.96/8.12 +-Applying beta-rule and splitting (284), into two cases.
% 29.96/8.12 |-Branch one:
% 29.96/8.12 | (303) ~ (all_144_1_86 = 0) & ssList(nil) = all_144_1_86
% 29.96/8.12 |
% 29.96/8.12 | Applying alpha-rule on (303) yields:
% 29.96/8.12 | (304) ~ (all_144_1_86 = 0)
% 29.96/8.12 | (305) ssList(nil) = all_144_1_86
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (47) with nil, all_144_1_86, 0 and discharging atoms ssList(nil) = all_144_1_86, ssList(nil) = 0, yields:
% 29.96/8.12 | (306) all_144_1_86 = 0
% 29.96/8.12 |
% 29.96/8.12 | Equations (306) can reduce 304 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (308) lt(all_8_5_15, all_0_6_6) = all_144_0_85 & ssItem(all_8_5_15) = all_144_1_86
% 29.96/8.12 |
% 29.96/8.12 | Applying alpha-rule on (308) yields:
% 29.96/8.12 | (309) lt(all_8_5_15, all_0_6_6) = all_144_0_85
% 29.96/8.12 | (310) ssItem(all_8_5_15) = all_144_1_86
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (2) with all_0_6_6, all_8_5_15, all_125_0_49, 0 and discharging atoms lt(all_0_6_6, all_8_5_15) = all_125_0_49, lt(all_0_6_6, all_8_5_15) = 0, yields:
% 29.96/8.12 | (311) all_125_0_49 = 0
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (61) with all_0_6_6, all_8_5_15, all_139_0_79, all_8_0_10 and discharging atoms leq(all_0_6_6, all_8_5_15) = all_139_0_79, leq(all_0_6_6, all_8_5_15) = all_8_0_10, yields:
% 29.96/8.12 | (312) all_139_0_79 = all_8_0_10
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (61) with all_0_6_6, all_8_5_15, all_125_2_51, all_139_0_79 and discharging atoms leq(all_0_6_6, all_8_5_15) = all_139_0_79, leq(all_0_6_6, all_8_5_15) = all_125_2_51, yields:
% 29.96/8.12 | (313) all_139_0_79 = all_125_2_51
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (142) with all_0_2_2, all_8_5_15, all_125_1_50, 0 and discharging atoms memberP(all_0_2_2, all_8_5_15) = all_125_1_50, memberP(all_0_2_2, all_8_5_15) = 0, yields:
% 29.96/8.12 | (314) all_125_1_50 = 0
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (33) with all_8_5_15, all_139_1_80, all_144_1_86 and discharging atoms ssItem(all_8_5_15) = all_144_1_86, ssItem(all_8_5_15) = all_139_1_80, yields:
% 29.96/8.12 | (315) all_144_1_86 = all_139_1_80
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (33) with all_8_5_15, all_136_1_72, 0 and discharging atoms ssItem(all_8_5_15) = all_136_1_72, ssItem(all_8_5_15) = 0, yields:
% 29.96/8.12 | (316) all_136_1_72 = 0
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (33) with all_8_5_15, all_136_1_72, all_144_1_86 and discharging atoms ssItem(all_8_5_15) = all_144_1_86, ssItem(all_8_5_15) = all_136_1_72, yields:
% 29.96/8.12 | (317) all_144_1_86 = all_136_1_72
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (33) with all_8_5_15, all_135_1_70, all_136_1_72 and discharging atoms ssItem(all_8_5_15) = all_136_1_72, ssItem(all_8_5_15) = all_135_1_70, yields:
% 29.96/8.12 | (318) all_136_1_72 = all_135_1_70
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (33) with all_8_5_15, all_133_1_66, all_144_1_86 and discharging atoms ssItem(all_8_5_15) = all_144_1_86, ssItem(all_8_5_15) = all_133_1_66, yields:
% 29.96/8.12 | (319) all_144_1_86 = all_133_1_66
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (33) with all_8_5_15, all_125_3_52, all_135_1_70 and discharging atoms ssItem(all_8_5_15) = all_135_1_70, ssItem(all_8_5_15) = all_125_3_52, yields:
% 29.96/8.12 | (320) all_135_1_70 = all_125_3_52
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (317,315) yields a new equation:
% 29.96/8.12 | (321) all_139_1_80 = all_136_1_72
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (319,315) yields a new equation:
% 29.96/8.12 | (322) all_139_1_80 = all_133_1_66
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (312,313) yields a new equation:
% 29.96/8.12 | (323) all_125_2_51 = all_8_0_10
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (321,322) yields a new equation:
% 29.96/8.12 | (324) all_136_1_72 = all_133_1_66
% 29.96/8.12 |
% 29.96/8.12 | Simplifying 324 yields:
% 29.96/8.12 | (325) all_136_1_72 = all_133_1_66
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (318,325) yields a new equation:
% 29.96/8.12 | (326) all_135_1_70 = all_133_1_66
% 29.96/8.12 |
% 29.96/8.12 | Simplifying 326 yields:
% 29.96/8.12 | (327) all_135_1_70 = all_133_1_66
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (316,325) yields a new equation:
% 29.96/8.12 | (288) all_133_1_66 = 0
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (327,320) yields a new equation:
% 29.96/8.12 | (329) all_133_1_66 = all_125_3_52
% 29.96/8.12 |
% 29.96/8.12 | Simplifying 329 yields:
% 29.96/8.12 | (330) all_133_1_66 = all_125_3_52
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (288,330) yields a new equation:
% 29.96/8.12 | (331) all_125_3_52 = 0
% 29.96/8.12 |
% 29.96/8.12 +-Applying beta-rule and splitting (269), into two cases.
% 29.96/8.12 |-Branch one:
% 29.96/8.12 | (332) ~ (all_125_0_49 = 0)
% 29.96/8.12 |
% 29.96/8.12 | Equations (311) can reduce 332 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (311) all_125_0_49 = 0
% 29.96/8.12 | (335) ~ (all_125_1_50 = 0) | ~ (all_125_3_52 = 0) | all_125_2_51 = 0
% 29.96/8.12 |
% 29.96/8.12 +-Applying beta-rule and splitting (335), into two cases.
% 29.96/8.12 |-Branch one:
% 29.96/8.12 | (336) ~ (all_125_1_50 = 0)
% 29.96/8.12 |
% 29.96/8.12 | Equations (314) can reduce 336 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (314) all_125_1_50 = 0
% 29.96/8.12 | (339) ~ (all_125_3_52 = 0) | all_125_2_51 = 0
% 29.96/8.12 |
% 29.96/8.12 +-Applying beta-rule and splitting (339), into two cases.
% 29.96/8.12 |-Branch one:
% 29.96/8.12 | (340) ~ (all_125_3_52 = 0)
% 29.96/8.12 |
% 29.96/8.12 | Equations (331) can reduce 340 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (331) all_125_3_52 = 0
% 29.96/8.12 | (343) all_125_2_51 = 0
% 29.96/8.12 |
% 29.96/8.12 | Combining equations (323,343) yields a new equation:
% 29.96/8.12 | (344) all_8_0_10 = 0
% 29.96/8.12 |
% 29.96/8.12 | Simplifying 344 yields:
% 29.96/8.12 | (345) all_8_0_10 = 0
% 29.96/8.12 |
% 29.96/8.12 | Equations (345) can reduce 256 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (347) ~ (all_8_5_15 = 0) & ssList(all_0_2_2) = all_8_5_15
% 29.96/8.12 |
% 29.96/8.12 | Applying alpha-rule on (347) yields:
% 29.96/8.12 | (348) ~ (all_8_5_15 = 0)
% 29.96/8.12 | (349) ssList(all_0_2_2) = all_8_5_15
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (47) with all_0_2_2, all_8_5_15, 0 and discharging atoms ssList(all_0_2_2) = all_8_5_15, ssList(all_0_2_2) = 0, yields:
% 29.96/8.12 | (350) all_8_5_15 = 0
% 29.96/8.12 |
% 29.96/8.12 | Equations (350) can reduce 348 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (352) ~ (all_8_5_15 = 0) & ssList(all_0_4_4) = all_8_5_15
% 29.96/8.12 |
% 29.96/8.12 | Applying alpha-rule on (352) yields:
% 29.96/8.12 | (348) ~ (all_8_5_15 = 0)
% 29.96/8.12 | (354) ssList(all_0_4_4) = all_8_5_15
% 29.96/8.12 |
% 29.96/8.12 +-Applying beta-rule and splitting (211), into two cases.
% 29.96/8.12 |-Branch one:
% 29.96/8.12 | (355) ~ (ssList(all_0_4_4) = all_10_0_19)
% 29.96/8.12 |
% 29.96/8.12 +-Applying beta-rule and splitting (170), into two cases.
% 29.96/8.12 |-Branch one:
% 29.96/8.12 | (356) ~ (all_10_1_20 = 0)
% 29.96/8.12 |
% 29.96/8.12 | Equations (248) can reduce 356 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (248) all_10_1_20 = 0
% 29.96/8.12 | (359) all_10_0_19 = 0
% 29.96/8.12 |
% 29.96/8.12 | From (359) and (355) follows:
% 29.96/8.12 | (360) ~ (ssList(all_0_4_4) = 0)
% 29.96/8.12 |
% 29.96/8.12 | Using (64) and (360) yields:
% 29.96/8.12 | (361) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (362) ssList(all_0_4_4) = all_10_0_19
% 29.96/8.12 | (359) all_10_0_19 = 0
% 29.96/8.12 |
% 29.96/8.12 | From (359) and (362) follows:
% 29.96/8.12 | (64) ssList(all_0_4_4) = 0
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (47) with all_0_4_4, all_8_5_15, 0 and discharging atoms ssList(all_0_4_4) = all_8_5_15, ssList(all_0_4_4) = 0, yields:
% 29.96/8.12 | (350) all_8_5_15 = 0
% 29.96/8.12 |
% 29.96/8.12 | Equations (350) can reduce 348 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 |-Branch two:
% 29.96/8.12 | (367) ~ (all_8_5_15 = 0) & ssItem(all_0_6_6) = all_8_5_15
% 29.96/8.12 |
% 29.96/8.12 | Applying alpha-rule on (367) yields:
% 29.96/8.12 | (348) ~ (all_8_5_15 = 0)
% 29.96/8.12 | (369) ssItem(all_0_6_6) = all_8_5_15
% 29.96/8.12 |
% 29.96/8.12 | Instantiating formula (33) with all_0_6_6, all_8_5_15, 0 and discharging atoms ssItem(all_0_6_6) = all_8_5_15, ssItem(all_0_6_6) = 0, yields:
% 29.96/8.12 | (350) all_8_5_15 = 0
% 29.96/8.12 |
% 29.96/8.12 | Equations (350) can reduce 348 to:
% 29.96/8.12 | (245) $false
% 29.96/8.12 |
% 29.96/8.12 |-The branch is then unsatisfiable
% 29.96/8.12 % SZS output end Proof for theBenchmark
% 30.34/8.12
% 30.34/8.12 7495ms
%------------------------------------------------------------------------------