TSTP Solution File: SWC320+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC320+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 20:17:27 EDT 2022
% Result : Theorem 20.59s 6.50s
% Output : Proof 23.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC320+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jun 11 23:37:40 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.48/0.62 ____ _
% 0.48/0.62 ___ / __ \_____(_)___ ________ __________
% 0.48/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.62
% 0.48/0.62 A Theorem Prover for First-Order Logic
% 0.48/0.62 (ePrincess v.1.0)
% 0.48/0.62
% 0.48/0.62 (c) Philipp Rümmer, 2009-2015
% 0.48/0.62 (c) Peter Backeman, 2014-2015
% 0.48/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.62 Bug reports to peter@backeman.se
% 0.48/0.62
% 0.48/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.62
% 0.48/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.45/1.10 Prover 0: Preprocessing ...
% 4.73/1.71 Prover 0: Constructing countermodel ...
% 18.24/5.96 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.70/6.12 Prover 1: Preprocessing ...
% 20.06/6.40 Prover 1: Constructing countermodel ...
% 20.59/6.50 Prover 1: proved (542ms)
% 20.59/6.50 Prover 0: stopped
% 20.59/6.50
% 20.59/6.50 No countermodel exists, formula is valid
% 20.59/6.50 % SZS status Theorem for theBenchmark
% 20.59/6.50
% 20.59/6.50 Generating proof ... found it (size 102)
% 22.79/7.06
% 22.79/7.06 % SZS output start Proof for theBenchmark
% 22.79/7.06 Assumed formulas after preprocessing and simplification:
% 22.79/7.06 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ( ~ (v13 = v12) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & neq(v2, nil) = v4 & neq(v2, nil) = v3 & ssItem(v13) = 0 & ssItem(v12) = 0 & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | ~ (strictorderedP(v14) = 0) | ~ (lt(v15, v16) = v17) | ~ (ssList(v18) = 0) | ~ (cons(v16, v22) = v23) | ~ (cons(v15, v19) = v20) | ~ (app(v21, v23) = v14) | ~ (app(v18, v20) = v21) | ~ (ssItem(v15) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v14) = v24) | ( ~ (v24 = 0) & ssItem(v16) = v24))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | ~ (totalorderedP(v14) = 0) | ~ (leq(v15, v16) = v17) | ~ (ssList(v18) = 0) | ~ (cons(v16, v22) = v23) | ~ (cons(v15, v19) = v20) | ~ (app(v21, v23) = v14) | ~ (app(v18, v20) = v21) | ~ (ssItem(v15) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v14) = v24) | ( ~ (v24 = 0) & ssItem(v16) = v24))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (duplicatefreeP(v14) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v15, v20) = v21) | ~ (cons(v15, v17) = v18) | ~ (app(v19, v21) = v14) | ~ (app(v16, v18) = v19) | ~ (ssItem(v15) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v14) = v22))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (segmentP(v19, v15) = v20) | ~ (segmentP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ~ (app(v17, v18) = v19) | ~ (app(v16, v14) = v17) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21) | ( ~ (v21 = 0) & ssList(v15) = v21))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v16 = v15 | ~ (equalelemsP(v14) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v16, v18) = v19) | ~ (cons(v15, v19) = v20) | ~ (app(v17, v20) = v14) | ~ (ssItem(v16) = 0) | ~ (ssItem(v15) = 0) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v14) = v21))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (frontsegP(v17, v19) = v20) | ~ (cons(v15, v18) = v19) | ~ (cons(v14, v16) = v17) | ~ (ssItem(v15) = 0) | ~ (ssItem(v14) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v16) = v21) | (frontsegP(v16, v18) = v22 & ssList(v18) = v21 & ( ~ (v21 = 0) | (( ~ (v22 = 0) | ~ (v15 = v14) | v20 = 0) & ( ~ (v20 = 0) | (v22 = 0 & v15 = v14))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = 0 | ~ (segmentP(v14, v15) = v16) | ~ (ssList(v14) = 0) | ~ (app(v18, v19) = v14) | ~ (app(v17, v15) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = 0 | ~ (memberP(v14, v15) = v16) | ~ (ssList(v17) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v15, v18) = v19) | ~ (app(v17, v19) = v14) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssItem(v15) = v20))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (memberP(v18, v14) = v19) | ~ (memberP(v15, v14) = v16) | ~ (app(v15, v17) = v18) | ~ (ssItem(v14) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v15) = v20) | (memberP(v17, v14) = v21 & ssList(v17) = v20 & ( ~ (v20 = 0) | (( ~ (v19 = 0) | v21 = 0 | v16 = 0) & (v19 = 0 | ( ~ (v21 = 0) & ~ (v16 = 0)))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v14) = 0) | ~ (cons(v17, v15) = v18) | ~ (app(v18, v14) = v19) | ~ (app(v15, v14) = v16) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v15) = v20) | (cons(v17, v16) = v21 & ssItem(v17) = v20 & ( ~ (v20 = 0) | v21 = v19)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (ssList(v15) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v18, v15) = v17) | ~ (cons(v16, v14) = v17) | ? [v19] : (( ~ (v19 = 0) & ssItem(v18) = v19) | ( ~ (v19 = 0) & ssItem(v16) = v19))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (rearsegP(v17, v15) = v18) | ~ (rearsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ~ (app(v16, v14) = v17) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v15) = v19))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (frontsegP(v17, v15) = v18) | ~ (frontsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ~ (app(v14, v16) = v17) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v15) = v19))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v14 | ~ (ssList(v15) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v18, v15) = v17) | ~ (cons(v16, v14) = v17) | ? [v19] : (( ~ (v19 = 0) & ssItem(v18) = v19) | ( ~ (v19 = 0) & ssItem(v16) = v19))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (memberP(v17, v14) = v18) | ~ (cons(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ~ (ssItem(v14) = 0) | ? [v19] : ? [v20] : (memberP(v16, v14) = v20 & ssList(v16) = v19 & ( ~ (v19 = 0) | (( ~ (v18 = 0) | v20 = 0 | v15 = v14) & (v18 = 0 | ( ~ (v20 = 0) & ~ (v15 = v14))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v14) = 0) | ~ (app(v16, v17) = v18) | ~ (app(v14, v15) = v16) | ? [v19] : ? [v20] : ? [v21] : (( ~ (v19 = 0) & ssList(v15) = v19) | (ssList(v17) = v19 & app(v15, v17) = v20 & app(v14, v20) = v21 & ( ~ (v19 = 0) | v21 = v18)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | v14 = nil | ~ (tl(v14) = v16) | ~ (hd(v14) = v15) | ~ (cons(v15, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v14) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (ssList(v14) = 0) | ~ (app(v17, v15) = v16) | ~ (app(v14, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (ssList(v14) = 0) | ~ (app(v15, v17) = v16) | ~ (app(v15, v14) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (gt(v14, v16) = v17) | ~ (gt(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (gt(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (geq(v14, v16) = v17) | ~ (geq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (geq(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (lt(v14, v16) = v17) | ~ (lt(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (lt(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (lt(v14, v16) = v17) | ~ (leq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (lt(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (leq(v14, v16) = v17) | ~ (leq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (leq(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v14, v16) = v17) | ~ (segmentP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v15) = v18) | (segmentP(v15, v16) = v19 & ssList(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v14, v16) = v17) | ~ (rearsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v15) = v18) | (rearsegP(v15, v16) = v19 & ssList(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v14, v16) = v17) | ~ (frontsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v15) = v18) | (frontsegP(v15, v16) = v19 & ssList(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (rearsegP(v14, v15) = v16) | ~ (ssList(v14) = 0) | ~ (app(v17, v15) = v14) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (frontsegP(v14, v15) = v16) | ~ (ssList(v14) = 0) | ~ (app(v15, v17) = v14) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (gt(v17, v16) = v15) | ~ (gt(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (geq(v17, v16) = v15) | ~ (geq(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (lt(v17, v16) = v15) | ~ (lt(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (leq(v17, v16) = v15) | ~ (leq(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (segmentP(v17, v16) = v15) | ~ (segmentP(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (rearsegP(v17, v16) = v15) | ~ (rearsegP(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (frontsegP(v17, v16) = v15) | ~ (frontsegP(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (memberP(v17, v16) = v15) | ~ (memberP(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (cons(v17, v16) = v15) | ~ (cons(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (app(v17, v16) = v15) | ~ (app(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (neq(v17, v16) = v15) | ~ (neq(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = nil | ~ (tl(v14) = v15) | ~ (app(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (( ~ (v18 = 0) & ssList(v14) = v18) | (tl(v19) = v20 & ssList(v16) = v18 & app(v14, v16) = v19 & ( ~ (v18 = 0) | v20 = v17)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = nil | ~ (hd(v14) = v15) | ~ (app(v14, v16) = v17) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v14) = v18) | (hd(v17) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | v19 = v15)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (hd(v15) = v16) | ~ (lt(v14, v16) = v17) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (strictorderedP(v19) = v20 & strictorderedP(v15) = v21 & ssList(v15) = v18 & cons(v14, v15) = v19 & ( ~ (v18 = 0) | (( ~ (v20 = 0) | v15 = nil | (v21 = 0 & v17 = 0)) & (v20 = 0 | ( ~ (v15 = nil) & ( ~ (v21 = 0) | ~ (v17 = 0)))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (hd(v15) = v16) | ~ (leq(v14, v16) = v17) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (totalorderedP(v19) = v20 & totalorderedP(v15) = v21 & ssList(v15) = v18 & cons(v14, v15) = v19 & ( ~ (v18 = 0) | (( ~ (v20 = 0) | v15 = nil | (v21 = 0 & v17 = 0)) & (v20 = 0 | ( ~ (v15 = nil) & ( ~ (v21 = 0) | ~ (v17 = 0)))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (strictorderP(v14) = 0) | ~ (lt(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v14) = v18) | (lt(v16, v15) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | v17 = 0 | ~ (ssList(v20) = 0) | ~ (cons(v16, v24) = v25) | ~ (cons(v15, v21) = v22) | ~ (app(v23, v25) = v14) | ~ (app(v20, v22) = v23) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (totalorderP(v14) = 0) | ~ (leq(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v14) = v18) | (leq(v16, v15) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | v17 = 0 | ~ (ssList(v20) = 0) | ~ (cons(v16, v24) = v25) | ~ (cons(v15, v21) = v22) | ~ (app(v23, v25) = v14) | ~ (app(v20, v22) = v23) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (cyclefreeP(v14) = 0) | ~ (leq(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v14) = v18) | (leq(v16, v15) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (v19 = 0) | ~ (v17 = 0) | ~ (ssList(v20) = 0) | ~ (cons(v16, v24) = v25) | ~ (cons(v15, v21) = v22) | ~ (app(v23, v25) = v14) | ~ (app(v20, v22) = v23) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, nil) = v16) | ~ (app(v16, v14) = v17) | ? [v18] : ? [v19] : (cons(v15, v14) = v19 & ssItem(v15) = v18 & ( ~ (v18 = 0) | v19 = v17))) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | v15 = v14 | ~ (lt(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (leq(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | v15 = v14 | ~ (ssList(v14) = 0) | ~ (neq(v14, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | v15 = v14 | ~ (neq(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ( ~ (v17 = 0) & ssItem(v15) = v17)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (tl(v16) = v15) | ~ (tl(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (hd(v16) = v15) | ~ (hd(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (equalelemsP(v16) = v15) | ~ (equalelemsP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (duplicatefreeP(v16) = v15) | ~ (duplicatefreeP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (strictorderedP(v16) = v15) | ~ (strictorderedP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (totalorderedP(v16) = v15) | ~ (totalorderedP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (strictorderP(v16) = v15) | ~ (strictorderP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (totalorderP(v16) = v15) | ~ (totalorderP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (cyclefreeP(v16) = v15) | ~ (cyclefreeP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (singletonP(v16) = v15) | ~ (singletonP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (ssList(v16) = v15) | ~ (ssList(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (ssItem(v16) = v15) | ~ (ssItem(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (singletonP(v14) = v15) | ~ (cons(v16, nil) = v14) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssItem(v16) = v17))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (gt(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (lt(v15, v14) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | v16 = 0) & ( ~ (v16 = 0) | v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (geq(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (leq(v15, v14) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | v16 = 0) & ( ~ (v16 = 0) | v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (lt(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (leq(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | v16 = 0 | v15 = v14) & ( ~ (v16 = 0) | (v18 = 0 & ~ (v15 = v14))))))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = v16) | ? [v17] : ? [v18] : (tl(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = v14))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = v16) | ? [v17] : ? [v18] : (hd(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = v15))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = v16) | ? [v17] : ? [v18] : (ssList(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v14) = 0) | ~ (app(v14, v15) = v16) | ? [v17] : ? [v18] : (ssList(v16) = v18 & ssList(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (geq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v16] : ? [v17] : (geq(v15, v14) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (leq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v16] : ? [v17] : (leq(v15, v14) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (segmentP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : (segmentP(v15, v14) = v17 & ssList(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (rearsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : (rearsegP(v15, v14) = v17 & ssList(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (frontsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : (frontsegP(v15, v14) = v17 & ssList(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (app(v14, nil) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = v14 | ~ (app(nil, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = nil | ~ (ssList(v14) = 0) | ~ (app(v14, v15) = nil) | ? [v16] : ( ~ (v16 = 0) & ssList(v15) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (geq(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssItem(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (equalelemsP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v14 & v23 = 0 & v21 = 0 & v19 = 0 & v17 = 0 & ~ (v18 = v16) & ssList(v22) = 0 & ssList(v20) = 0 & cons(v18, v22) = v24 & cons(v16, v24) = v25 & app(v20, v25) = v14 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (duplicatefreeP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v14 & v27 = 0 & v23 = 0 & v21 = 0 & v19 = 0 & v18 = v16 & v17 = 0 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v16, v22) = v24 & app(v25, v28) = v14 & app(v20, v24) = v25 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (strictorderedP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = v14 & v28 = 0 & v24 = 0 & v22 = 0 & v19 = 0 & v17 = 0 & ~ (v20 = 0) & lt(v16, v18) = v20 & ssList(v27) = 0 & ssList(v23) = 0 & ssList(v21) = 0 & cons(v18, v27) = v29 & cons(v16, v23) = v25 & app(v26, v29) = v14 & app(v21, v25) = v26 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (totalorderedP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = v14 & v28 = 0 & v24 = 0 & v22 = 0 & v19 = 0 & v17 = 0 & ~ (v20 = 0) & leq(v16, v18) = v20 & ssList(v27) = 0 & ssList(v23) = 0 & ssList(v21) = 0 & cons(v18, v27) = v29 & cons(v16, v23) = v25 & app(v26, v29) = v14 & app(v21, v25) = v26 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (strictorderP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v14 & v29 = 0 & v25 = 0 & v23 = 0 & v19 = 0 & v17 = 0 & ~ (v21 = 0) & ~ (v20 = 0) & lt(v18, v16) = v21 & lt(v16, v18) = v20 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v16, v24) = v26 & app(v27, v30) = v14 & app(v22, v26) = v27 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (totalorderP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v14 & v29 = 0 & v25 = 0 & v23 = 0 & v19 = 0 & v17 = 0 & ~ (v21 = 0) & ~ (v20 = 0) & leq(v18, v16) = v21 & leq(v16, v18) = v20 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v16, v24) = v26 & app(v27, v30) = v14 & app(v22, v26) = v27 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (cyclefreeP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v14 & v29 = 0 & v25 = 0 & v23 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v17 = 0 & leq(v18, v16) = 0 & leq(v16, v18) = 0 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v16, v24) = v26 & app(v27, v30) = v14 & app(v22, v26) = v27 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (leq(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssItem(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v14, nil) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v14, nil) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v14, nil) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v14 = nil | ~ (tl(v14) = v15) | ? [v16] : ? [v17] : (ssList(v15) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : (v14 = nil | ~ (tl(v14) = v15) | ? [v16] : ? [v17] : ((v17 = 0 & v16 = v15 & ssList(v15) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v14 = nil | ~ (hd(v14) = v15) | ? [v16] : ? [v17] : (ssList(v14) = v16 & ssItem(v15) = v17 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : (v14 = nil | ~ (hd(v14) = v15) | ? [v16] : ? [v17] : ((v17 = 0 & v16 = v15 & ssItem(v15) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v14 = nil | ~ (ssList(v14) = 0) | ~ (app(v14, v15) = nil) | ? [v16] : ( ~ (v16 = 0) & ssList(v15) = v16)) & ! [v14] : ! [v15] : ( ~ (gt(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v16] : ? [v17] : (gt(v15, v14) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : ( ~ (tl(v14) = v15) | ? [v16] : ? [v17] : (hd(v14) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : (v18 = v14 | v18 = nil | v14 = nil | ~ (tl(v18) = v15) | ? [v19] : ? [v20] : (hd(v18) = v20 & ssList(v18) = v19 & ( ~ (v20 = v17) | ~ (v19 = 0))))))) & ! [v14] : ! [v15] : ( ~ (lt(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v16] : ? [v17] : (lt(v15, v14) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : ( ~ (segmentP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = v14 & v20 = 0 & v17 = 0 & ssList(v19) = 0 & ssList(v16) = 0 & app(v18, v19) = v14 & app(v16, v15) = v18) | ( ~ (v16 = 0) & ssList(v15) = v16))) & ! [v14] : ! [v15] : ( ~ (rearsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ((v18 = v14 & v17 = 0 & ssList(v16) = 0 & app(v16, v15) = v14) | ( ~ (v16 = 0) & ssList(v15) = v16))) & ! [v14] : ! [v15] : ( ~ (frontsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ((v18 = v14 & v17 = 0 & ssList(v16) = 0 & app(v15, v16) = v14) | ( ~ (v16 = 0) & ssList(v15) = v16))) & ! [v14] : ! [v15] : ( ~ (memberP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = v14 & v19 = 0 & v17 = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v15, v18) = v20 & app(v16, v20) = v14) | ( ~ (v16 = 0) & ssItem(v15) = v16))) & ! [v14] : ! [v15] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = v14) | ? [v16] : ( ~ (v16 = 0) & ssItem(v15) = v16)) & ! [v14] : ! [v15] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = nil) | ? [v16] : ( ~ (v16 = 0) & ssItem(v15) = v16)) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (equalelemsP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (duplicatefreeP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (strictorderedP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (totalorderedP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (strictorderP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (totalorderP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (cyclefreeP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : (v14 = nil | ~ (segmentP(nil, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssList(v14) = v15)) & ! [v14] : (v14 = nil | ~ (rearsegP(nil, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssList(v14) = v15)) & ! [v14] : (v14 = nil | ~ (frontsegP(nil, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssList(v14) = v15)) & ! [v14] : (v14 = nil | ~ (ssList(v14) = 0) | ? [v15] : ? [v16] : (ssList(v15) = 0 & cons(v16, v15) = v14 & ssItem(v16) = 0)) & ! [v14] : (v14 = nil | ~ (app(nil, nil) = v14)) & ! [v14] : (v14 = 0 | ~ (segmentP(nil, nil) = v14)) & ! [v14] : (v14 = 0 | ~ (rearsegP(nil, nil) = v14)) & ! [v14] : (v14 = 0 | ~ (frontsegP(nil, nil) = v14)) & ! [v14] : ( ~ (lt(v14, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssItem(v14) = v15)) & ! [v14] : ( ~ (singletonP(v14) = 0) | ? [v15] : ? [v16] : ? [v17] : ((v17 = v14 & v16 = 0 & cons(v15, nil) = v14 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v14) = v15))) & ! [v14] : ( ~ (memberP(nil, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssItem(v14) = v15)) & ! [v14] : ( ~ (ssList(v14) = 0) | ~ (neq(v14, v14) = 0)) & ! [v14] : ( ~ (neq(v14, v14) = 0) | ~ (ssItem(v14) = 0)) & ( ~ (v4 = 0) | (v11 = v2 & v10 = v1 & v9 = 0 & v6 = 0 & ssList(v8) = 0 & cons(v5, nil) = v7 & app(v8, v7) = v2 & app(v7, v8) = v1 & ssItem(v5) = 0)) & ( ~ (v2 = nil) | v1 = nil) & ((v3 = 0 & ! [v14] : ! [v15] : ! [v16] : ( ~ (cons(v14, nil) = v15) | ~ (app(v15, v16) = v1) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssItem(v14) = v17) | (ssList(v16) = v17 & app(v16, v15) = v18 & ( ~ (v18 = v2) | ~ (v17 = 0)))))) | (v2 = nil & ~ (v1 = nil))))
% 23.47/7.15 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13 yields:
% 23.47/7.15 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_13_13 = 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_13_13 & ssList(all_0_11_11) = 0 & ssList(all_0_12_12) = 0 & ssList(nil) = 0 & neq(all_0_11_11, nil) = all_0_9_9 & neq(all_0_11_11, nil) = all_0_10_10 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & ( ~ (all_0_9_9 = 0) | (all_0_2_2 = all_0_11_11 & all_0_3_3 = all_0_12_12 & all_0_4_4 = 0 & all_0_7_7 = 0 & ssList(all_0_5_5) = 0 & cons(all_0_8_8, nil) = all_0_6_6 & app(all_0_5_5, all_0_6_6) = all_0_11_11 & app(all_0_6_6, all_0_5_5) = all_0_12_12 & ssItem(all_0_8_8) = 0)) & ( ~ (all_0_11_11 = nil) | all_0_12_12 = nil) & ((all_0_10_10 = 0 & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, nil) = v1) | ~ (app(v1, v2) = all_0_12_12) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & ssItem(v0) = v3) | (ssList(v2) = v3 & app(v2, v1) = v4 & ( ~ (v4 = all_0_11_11) | ~ (v3 = 0)))))) | (all_0_11_11 = nil & ~ (all_0_12_12 = nil)))
% 23.47/7.18 |
% 23.47/7.18 | Applying alpha-rule on (1) yields:
% 23.47/7.18 | (2) ! [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)))
% 23.47/7.18 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 23.47/7.18 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 23.47/7.18 | (5) ! [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)))
% 23.47/7.18 | (6) ! [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)))
% 23.47/7.18 | (7) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.47/7.18 | (8) ! [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))))
% 23.47/7.18 | (9) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.47/7.18 | (10) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 23.47/7.18 | (11) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 23.47/7.18 | (12) ! [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)))))
% 23.47/7.18 | (13) ! [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)))
% 23.47/7.18 | (14) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 23.47/7.18 | (15) ~ (all_0_11_11 = nil) | all_0_12_12 = nil
% 23.47/7.18 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5)))
% 23.47/7.18 | (17) ! [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)))
% 23.47/7.18 | (18) ! [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)))))
% 23.47/7.18 | (19) ~ (all_0_9_9 = 0) | (all_0_2_2 = all_0_11_11 & all_0_3_3 = all_0_12_12 & all_0_4_4 = 0 & all_0_7_7 = 0 & ssList(all_0_5_5) = 0 & cons(all_0_8_8, nil) = all_0_6_6 & app(all_0_5_5, all_0_6_6) = all_0_11_11 & app(all_0_6_6, all_0_5_5) = all_0_12_12 & ssItem(all_0_8_8) = 0)
% 23.47/7.18 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 23.47/7.18 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 23.47/7.18 | (22) ! [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)))
% 23.47/7.18 | (23) neq(all_0_11_11, nil) = all_0_9_9
% 23.47/7.18 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 23.47/7.19 | (25) ! [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)))))
% 23.47/7.19 | (26) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 23.47/7.19 | (27) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 23.47/7.19 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 23.47/7.19 | (29) ! [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)))))))
% 23.47/7.19 | (30) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.47/7.19 | (31) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.19 | (32) ! [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)))))
% 23.47/7.19 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5))))
% 23.47/7.19 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 23.47/7.19 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0)))))))
% 23.47/7.19 | (36) equalelemsP(nil) = 0
% 23.47/7.19 | (37) ! [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))))))))
% 23.47/7.19 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 23.47/7.19 | (39) ! [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)))
% 23.47/7.19 | (40) ! [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)))))))
% 23.47/7.19 | (41) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 23.47/7.19 | (42) ! [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)))))
% 23.47/7.19 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 23.47/7.19 | (44) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 23.47/7.19 | (45) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 23.47/7.19 | (46) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 23.47/7.19 | (47) cyclefreeP(nil) = 0
% 23.47/7.19 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0)))))))
% 23.47/7.19 | (49) ! [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))))
% 23.47/7.19 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 23.47/7.19 | (51) ! [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))))
% 23.47/7.19 | (52) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.47/7.19 | (53) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.19 | (54) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 23.47/7.20 | (55) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.20 | (56) ! [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)))))
% 23.47/7.20 | (57) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 23.47/7.20 | (58) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 23.47/7.20 | (59) singletonP(nil) = all_0_13_13
% 23.47/7.20 | (60) ! [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)))
% 23.47/7.20 | (61) ! [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)))
% 23.47/7.20 | (62) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.47/7.20 | (63) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.47/7.20 | (64) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 23.47/7.20 | (65) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 23.47/7.20 | (66) (all_0_10_10 = 0 & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, nil) = v1) | ~ (app(v1, v2) = all_0_12_12) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & ssItem(v0) = v3) | (ssList(v2) = v3 & app(v2, v1) = v4 & ( ~ (v4 = all_0_11_11) | ~ (v3 = 0)))))) | (all_0_11_11 = nil & ~ (all_0_12_12 = nil))
% 23.47/7.20 | (67) ! [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)))
% 23.47/7.20 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 23.47/7.20 | (69) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.20 | (70) totalorderP(nil) = 0
% 23.47/7.20 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 23.47/7.20 | (72) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.47/7.20 | (73) ! [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)))
% 23.47/7.20 | (74) ! [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)))
% 23.47/7.20 | (75) ! [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)))
% 23.47/7.20 | (76) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.47/7.20 | (77) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 23.47/7.20 | (78) ! [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)))
% 23.47/7.20 | (79) totalorderedP(nil) = 0
% 23.47/7.20 | (80) ssList(all_0_11_11) = 0
% 23.47/7.20 | (81) strictorderedP(nil) = 0
% 23.47/7.20 | (82) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.20 | (83) ! [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)))
% 23.47/7.20 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 23.47/7.20 | (85) ! [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)))))))
% 23.47/7.20 | (86) ! [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)))))
% 23.47/7.21 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 23.47/7.21 | (88) ! [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)))
% 23.47/7.21 | (89) ! [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)))
% 23.47/7.21 | (90) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.47/7.21 | (91) ! [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)))))))
% 23.47/7.21 | (92) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.47/7.21 | (93) ! [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)))
% 23.47/7.21 | (94) ! [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))))
% 23.47/7.21 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 23.47/7.21 | (96) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 23.47/7.21 | (97) ssList(nil) = 0
% 23.47/7.21 | (98) ! [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)))
% 23.47/7.21 | (99) strictorderP(nil) = 0
% 23.47/7.21 | (100) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.47/7.21 | (101) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 23.47/7.21 | (102) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 23.47/7.21 | (103) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 23.47/7.21 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 23.47/7.21 | (105) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.21 | (106) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.47/7.21 | (107) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 23.47/7.21 | (108) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 23.47/7.21 | (109) ! [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)))
% 23.47/7.21 | (110) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 23.47/7.21 | (111) ! [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)))
% 23.47/7.21 | (112) ! [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)))))
% 23.47/7.21 | (113) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 23.47/7.21 | (114) ! [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)))
% 23.47/7.21 | (115) ! [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)))))
% 23.47/7.21 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 23.47/7.21 | (117) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.47/7.21 | (118) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 23.47/7.22 | (119) ! [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)))
% 23.47/7.22 | (120) ~ (all_0_13_13 = 0)
% 23.47/7.22 | (121) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 23.47/7.22 | (122) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 23.47/7.22 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 23.47/7.22 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 23.47/7.22 | (125) ssItem(all_0_0_0) = 0
% 23.47/7.22 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 23.47/7.22 | (127) ! [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))))))))
% 23.47/7.22 | (128) ! [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))))))))
% 23.47/7.22 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 23.47/7.22 | (130) duplicatefreeP(nil) = 0
% 23.47/7.22 | (131) ! [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)))
% 23.47/7.22 | (132) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.22 | (133) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.22 | (134) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 23.47/7.22 | (135) ~ (all_0_0_0 = all_0_1_1)
% 23.47/7.22 | (136) ssList(all_0_12_12) = 0
% 23.47/7.22 | (137) ! [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)))
% 23.47/7.22 | (138) ! [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)))))))
% 23.47/7.22 | (139) ssItem(all_0_1_1) = 0
% 23.47/7.22 | (140) ! [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)))))
% 23.47/7.22 | (141) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 23.47/7.22 | (142) neq(all_0_11_11, nil) = all_0_10_10
% 23.47/7.22 | (143) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 23.47/7.22 | (144) ! [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)))
% 23.47/7.22 | (145) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.47/7.22 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 23.47/7.22 | (147) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.47/7.22 | (148) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.47/7.22 | (149) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 23.47/7.22 |
% 23.47/7.22 | Instantiating formula (123) with all_0_11_11, nil, all_0_10_10, all_0_9_9 and discharging atoms neq(all_0_11_11, nil) = all_0_9_9, neq(all_0_11_11, nil) = all_0_10_10, yields:
% 23.47/7.23 | (150) all_0_9_9 = all_0_10_10
% 23.47/7.23 |
% 23.47/7.23 +-Applying beta-rule and splitting (66), into two cases.
% 23.47/7.23 |-Branch one:
% 23.47/7.23 | (151) all_0_10_10 = 0 & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, nil) = v1) | ~ (app(v1, v2) = all_0_12_12) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & ssItem(v0) = v3) | (ssList(v2) = v3 & app(v2, v1) = v4 & ( ~ (v4 = all_0_11_11) | ~ (v3 = 0)))))
% 23.47/7.23 |
% 23.47/7.23 | Applying alpha-rule on (151) yields:
% 23.47/7.23 | (152) all_0_10_10 = 0
% 23.47/7.23 | (153) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, nil) = v1) | ~ (app(v1, v2) = all_0_12_12) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & ssItem(v0) = v3) | (ssList(v2) = v3 & app(v2, v1) = v4 & ( ~ (v4 = all_0_11_11) | ~ (v3 = 0)))))
% 23.47/7.23 |
% 23.47/7.23 | Combining equations (152,150) yields a new equation:
% 23.47/7.23 | (154) all_0_9_9 = 0
% 23.47/7.23 |
% 23.47/7.23 +-Applying beta-rule and splitting (19), into two cases.
% 23.47/7.23 |-Branch one:
% 23.47/7.23 | (155) ~ (all_0_9_9 = 0)
% 23.47/7.23 |
% 23.47/7.23 | Equations (154) can reduce 155 to:
% 23.47/7.23 | (156) $false
% 23.47/7.23 |
% 23.47/7.23 |-The branch is then unsatisfiable
% 23.47/7.23 |-Branch two:
% 23.47/7.23 | (154) all_0_9_9 = 0
% 23.47/7.23 | (158) all_0_2_2 = all_0_11_11 & all_0_3_3 = all_0_12_12 & all_0_4_4 = 0 & all_0_7_7 = 0 & ssList(all_0_5_5) = 0 & cons(all_0_8_8, nil) = all_0_6_6 & app(all_0_5_5, all_0_6_6) = all_0_11_11 & app(all_0_6_6, all_0_5_5) = all_0_12_12 & ssItem(all_0_8_8) = 0
% 23.47/7.23 |
% 23.47/7.23 | Applying alpha-rule on (158) yields:
% 23.47/7.23 | (159) ssItem(all_0_8_8) = 0
% 23.47/7.23 | (160) app(all_0_6_6, all_0_5_5) = all_0_12_12
% 23.47/7.23 | (161) all_0_4_4 = 0
% 23.47/7.23 | (162) cons(all_0_8_8, nil) = all_0_6_6
% 23.47/7.23 | (163) all_0_3_3 = all_0_12_12
% 23.47/7.23 | (164) all_0_7_7 = 0
% 23.47/7.23 | (165) app(all_0_5_5, all_0_6_6) = all_0_11_11
% 23.47/7.23 | (166) ssList(all_0_5_5) = 0
% 23.47/7.23 | (167) all_0_2_2 = all_0_11_11
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (4) with all_0_6_6, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (168) ? [v0] : ? [v1] : (tl(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (126) with all_0_6_6, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (169) ? [v0] : ? [v1] : (hd(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (102) with all_0_6_6, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (170) ? [v0] : ? [v1] : (ssList(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (69) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (171) ? [v0] : ? [v1] : (equalelemsP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (82) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (172) ? [v0] : ? [v1] : (duplicatefreeP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (31) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (173) ? [v0] : ? [v1] : (strictorderedP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (133) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (174) ? [v0] : ? [v1] : (totalorderedP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (53) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (175) ? [v0] : ? [v1] : (strictorderP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (105) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (176) ? [v0] : ? [v1] : (totalorderP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (147) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.47/7.23 | (177) ? [v0] : ? [v1] : (cyclefreeP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (2) with all_0_12_12, all_0_6_6, all_0_8_8, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, cons(all_0_8_8, nil) = all_0_6_6, app(all_0_6_6, all_0_5_5) = all_0_12_12, yields:
% 23.47/7.23 | (178) ? [v0] : ? [v1] : (cons(all_0_8_8, all_0_5_5) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_12_12))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating formula (153) with all_0_5_5, all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, app(all_0_6_6, all_0_5_5) = all_0_12_12, yields:
% 23.47/7.23 | (179) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssItem(all_0_8_8) = v0) | (ssList(all_0_5_5) = v0 & app(all_0_5_5, all_0_6_6) = v1 & ( ~ (v1 = all_0_11_11) | ~ (v0 = 0))))
% 23.47/7.23 |
% 23.47/7.23 | Instantiating (179) with all_24_0_14, all_24_1_15 yields:
% 23.47/7.23 | (180) ( ~ (all_24_1_15 = 0) & ssItem(all_0_8_8) = all_24_1_15) | (ssList(all_0_5_5) = all_24_1_15 & app(all_0_5_5, all_0_6_6) = all_24_0_14 & ( ~ (all_24_0_14 = all_0_11_11) | ~ (all_24_1_15 = 0)))
% 23.90/7.23 |
% 23.90/7.23 | Instantiating (178) with all_25_0_16, all_25_1_17 yields:
% 23.90/7.23 | (181) cons(all_0_8_8, all_0_5_5) = all_25_0_16 & ssItem(all_0_8_8) = all_25_1_17 & ( ~ (all_25_1_17 = 0) | all_25_0_16 = all_0_12_12)
% 23.90/7.23 |
% 23.90/7.23 | Applying alpha-rule on (181) yields:
% 23.90/7.23 | (182) cons(all_0_8_8, all_0_5_5) = all_25_0_16
% 23.90/7.23 | (183) ssItem(all_0_8_8) = all_25_1_17
% 23.90/7.23 | (184) ~ (all_25_1_17 = 0) | all_25_0_16 = all_0_12_12
% 23.90/7.23 |
% 23.90/7.23 | Instantiating (177) with all_29_0_20, all_29_1_21 yields:
% 23.90/7.23 | (185) cyclefreeP(all_0_6_6) = all_29_0_20 & ssItem(all_0_8_8) = all_29_1_21 & ( ~ (all_29_1_21 = 0) | all_29_0_20 = 0)
% 23.90/7.23 |
% 23.90/7.23 | Applying alpha-rule on (185) yields:
% 23.90/7.23 | (186) cyclefreeP(all_0_6_6) = all_29_0_20
% 23.90/7.23 | (187) ssItem(all_0_8_8) = all_29_1_21
% 23.90/7.23 | (188) ~ (all_29_1_21 = 0) | all_29_0_20 = 0
% 23.90/7.23 |
% 23.90/7.23 | Instantiating (176) with all_31_0_22, all_31_1_23 yields:
% 23.90/7.23 | (189) totalorderP(all_0_6_6) = all_31_0_22 & ssItem(all_0_8_8) = all_31_1_23 & ( ~ (all_31_1_23 = 0) | all_31_0_22 = 0)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (189) yields:
% 23.90/7.24 | (190) totalorderP(all_0_6_6) = all_31_0_22
% 23.90/7.24 | (191) ssItem(all_0_8_8) = all_31_1_23
% 23.90/7.24 | (192) ~ (all_31_1_23 = 0) | all_31_0_22 = 0
% 23.90/7.24 |
% 23.90/7.24 | Instantiating (175) with all_33_0_24, all_33_1_25 yields:
% 23.90/7.24 | (193) strictorderP(all_0_6_6) = all_33_0_24 & ssItem(all_0_8_8) = all_33_1_25 & ( ~ (all_33_1_25 = 0) | all_33_0_24 = 0)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (193) yields:
% 23.90/7.24 | (194) strictorderP(all_0_6_6) = all_33_0_24
% 23.90/7.24 | (195) ssItem(all_0_8_8) = all_33_1_25
% 23.90/7.24 | (196) ~ (all_33_1_25 = 0) | all_33_0_24 = 0
% 23.90/7.24 |
% 23.90/7.24 | Instantiating (170) with all_35_0_26, all_35_1_27 yields:
% 23.90/7.24 | (197) ssList(all_0_6_6) = all_35_0_26 & ssItem(all_0_8_8) = all_35_1_27 & ( ~ (all_35_1_27 = 0) | all_35_0_26 = 0)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (197) yields:
% 23.90/7.24 | (198) ssList(all_0_6_6) = all_35_0_26
% 23.90/7.24 | (199) ssItem(all_0_8_8) = all_35_1_27
% 23.90/7.24 | (200) ~ (all_35_1_27 = 0) | all_35_0_26 = 0
% 23.90/7.24 |
% 23.90/7.24 | Instantiating (168) with all_37_0_28, all_37_1_29 yields:
% 23.90/7.24 | (201) tl(all_0_6_6) = all_37_0_28 & ssItem(all_0_8_8) = all_37_1_29 & ( ~ (all_37_1_29 = 0) | all_37_0_28 = nil)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (201) yields:
% 23.90/7.24 | (202) tl(all_0_6_6) = all_37_0_28
% 23.90/7.24 | (203) ssItem(all_0_8_8) = all_37_1_29
% 23.90/7.24 | (204) ~ (all_37_1_29 = 0) | all_37_0_28 = nil
% 23.90/7.24 |
% 23.90/7.24 | Instantiating (174) with all_39_0_30, all_39_1_31 yields:
% 23.90/7.24 | (205) totalorderedP(all_0_6_6) = all_39_0_30 & ssItem(all_0_8_8) = all_39_1_31 & ( ~ (all_39_1_31 = 0) | all_39_0_30 = 0)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (205) yields:
% 23.90/7.24 | (206) totalorderedP(all_0_6_6) = all_39_0_30
% 23.90/7.24 | (207) ssItem(all_0_8_8) = all_39_1_31
% 23.90/7.24 | (208) ~ (all_39_1_31 = 0) | all_39_0_30 = 0
% 23.90/7.24 |
% 23.90/7.24 | Instantiating (169) with all_41_0_32, all_41_1_33 yields:
% 23.90/7.24 | (209) hd(all_0_6_6) = all_41_0_32 & ssItem(all_0_8_8) = all_41_1_33 & ( ~ (all_41_1_33 = 0) | all_41_0_32 = all_0_8_8)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (209) yields:
% 23.90/7.24 | (210) hd(all_0_6_6) = all_41_0_32
% 23.90/7.24 | (211) ssItem(all_0_8_8) = all_41_1_33
% 23.90/7.24 | (212) ~ (all_41_1_33 = 0) | all_41_0_32 = all_0_8_8
% 23.90/7.24 |
% 23.90/7.24 | Instantiating (173) with all_43_0_34, all_43_1_35 yields:
% 23.90/7.24 | (213) strictorderedP(all_0_6_6) = all_43_0_34 & ssItem(all_0_8_8) = all_43_1_35 & ( ~ (all_43_1_35 = 0) | all_43_0_34 = 0)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (213) yields:
% 23.90/7.24 | (214) strictorderedP(all_0_6_6) = all_43_0_34
% 23.90/7.24 | (215) ssItem(all_0_8_8) = all_43_1_35
% 23.90/7.24 | (216) ~ (all_43_1_35 = 0) | all_43_0_34 = 0
% 23.90/7.24 |
% 23.90/7.24 | Instantiating (172) with all_45_0_36, all_45_1_37 yields:
% 23.90/7.24 | (217) duplicatefreeP(all_0_6_6) = all_45_0_36 & ssItem(all_0_8_8) = all_45_1_37 & ( ~ (all_45_1_37 = 0) | all_45_0_36 = 0)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (217) yields:
% 23.90/7.24 | (218) duplicatefreeP(all_0_6_6) = all_45_0_36
% 23.90/7.24 | (219) ssItem(all_0_8_8) = all_45_1_37
% 23.90/7.24 | (220) ~ (all_45_1_37 = 0) | all_45_0_36 = 0
% 23.90/7.24 |
% 23.90/7.24 | Instantiating (171) with all_47_0_38, all_47_1_39 yields:
% 23.90/7.24 | (221) equalelemsP(all_0_6_6) = all_47_0_38 & ssItem(all_0_8_8) = all_47_1_39 & ( ~ (all_47_1_39 = 0) | all_47_0_38 = 0)
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (221) yields:
% 23.90/7.24 | (222) equalelemsP(all_0_6_6) = all_47_0_38
% 23.90/7.24 | (223) ssItem(all_0_8_8) = all_47_1_39
% 23.90/7.24 | (224) ~ (all_47_1_39 = 0) | all_47_0_38 = 0
% 23.90/7.24 |
% 23.90/7.24 +-Applying beta-rule and splitting (180), into two cases.
% 23.90/7.24 |-Branch one:
% 23.90/7.24 | (225) ~ (all_24_1_15 = 0) & ssItem(all_0_8_8) = all_24_1_15
% 23.90/7.24 |
% 23.90/7.24 | Applying alpha-rule on (225) yields:
% 23.90/7.24 | (226) ~ (all_24_1_15 = 0)
% 23.90/7.24 | (227) ssItem(all_0_8_8) = all_24_1_15
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_43_1_35, all_47_1_39 and discharging atoms ssItem(all_0_8_8) = all_47_1_39, ssItem(all_0_8_8) = all_43_1_35, yields:
% 23.90/7.24 | (228) all_47_1_39 = all_43_1_35
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_41_1_33, all_47_1_39 and discharging atoms ssItem(all_0_8_8) = all_47_1_39, ssItem(all_0_8_8) = all_41_1_33, yields:
% 23.90/7.24 | (229) all_47_1_39 = all_41_1_33
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_39_1_31, all_45_1_37 and discharging atoms ssItem(all_0_8_8) = all_45_1_37, ssItem(all_0_8_8) = all_39_1_31, yields:
% 23.90/7.24 | (230) all_45_1_37 = all_39_1_31
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_37_1_29, 0 and discharging atoms ssItem(all_0_8_8) = all_37_1_29, ssItem(all_0_8_8) = 0, yields:
% 23.90/7.24 | (231) all_37_1_29 = 0
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_37_1_29, all_39_1_31 and discharging atoms ssItem(all_0_8_8) = all_39_1_31, ssItem(all_0_8_8) = all_37_1_29, yields:
% 23.90/7.24 | (232) all_39_1_31 = all_37_1_29
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_35_1_27, all_37_1_29 and discharging atoms ssItem(all_0_8_8) = all_37_1_29, ssItem(all_0_8_8) = all_35_1_27, yields:
% 23.90/7.24 | (233) all_37_1_29 = all_35_1_27
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_33_1_25, all_43_1_35 and discharging atoms ssItem(all_0_8_8) = all_43_1_35, ssItem(all_0_8_8) = all_33_1_25, yields:
% 23.90/7.24 | (234) all_43_1_35 = all_33_1_25
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_33_1_25, all_37_1_29 and discharging atoms ssItem(all_0_8_8) = all_37_1_29, ssItem(all_0_8_8) = all_33_1_25, yields:
% 23.90/7.24 | (235) all_37_1_29 = all_33_1_25
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_31_1_23, all_45_1_37 and discharging atoms ssItem(all_0_8_8) = all_45_1_37, ssItem(all_0_8_8) = all_31_1_23, yields:
% 23.90/7.24 | (236) all_45_1_37 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_29_1_21, all_43_1_35 and discharging atoms ssItem(all_0_8_8) = all_43_1_35, ssItem(all_0_8_8) = all_29_1_21, yields:
% 23.90/7.24 | (237) all_43_1_35 = all_29_1_21
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_25_1_17, all_35_1_27 and discharging atoms ssItem(all_0_8_8) = all_35_1_27, ssItem(all_0_8_8) = all_25_1_17, yields:
% 23.90/7.24 | (238) all_35_1_27 = all_25_1_17
% 23.90/7.24 |
% 23.90/7.24 | Instantiating formula (34) with all_0_8_8, all_24_1_15, all_37_1_29 and discharging atoms ssItem(all_0_8_8) = all_37_1_29, ssItem(all_0_8_8) = all_24_1_15, yields:
% 23.90/7.24 | (239) all_37_1_29 = all_24_1_15
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (228,229) yields a new equation:
% 23.90/7.24 | (240) all_43_1_35 = all_41_1_33
% 23.90/7.24 |
% 23.90/7.24 | Simplifying 240 yields:
% 23.90/7.24 | (241) all_43_1_35 = all_41_1_33
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (230,236) yields a new equation:
% 23.90/7.24 | (242) all_39_1_31 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Simplifying 242 yields:
% 23.90/7.24 | (243) all_39_1_31 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (237,241) yields a new equation:
% 23.90/7.24 | (244) all_41_1_33 = all_29_1_21
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (234,241) yields a new equation:
% 23.90/7.24 | (245) all_41_1_33 = all_33_1_25
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (245,244) yields a new equation:
% 23.90/7.24 | (246) all_33_1_25 = all_29_1_21
% 23.90/7.24 |
% 23.90/7.24 | Simplifying 246 yields:
% 23.90/7.24 | (247) all_33_1_25 = all_29_1_21
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (232,243) yields a new equation:
% 23.90/7.24 | (248) all_37_1_29 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Simplifying 248 yields:
% 23.90/7.24 | (249) all_37_1_29 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (239,249) yields a new equation:
% 23.90/7.24 | (250) all_31_1_23 = all_24_1_15
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (231,249) yields a new equation:
% 23.90/7.24 | (251) all_31_1_23 = 0
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (235,249) yields a new equation:
% 23.90/7.24 | (252) all_33_1_25 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Simplifying 252 yields:
% 23.90/7.24 | (253) all_33_1_25 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (233,249) yields a new equation:
% 23.90/7.24 | (254) all_35_1_27 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Simplifying 254 yields:
% 23.90/7.24 | (255) all_35_1_27 = all_31_1_23
% 23.90/7.24 |
% 23.90/7.24 | Combining equations (255,238) yields a new equation:
% 23.90/7.24 | (256) all_31_1_23 = all_25_1_17
% 23.90/7.24 |
% 23.90/7.24 | Simplifying 256 yields:
% 23.90/7.24 | (257) all_31_1_23 = all_25_1_17
% 23.90/7.25 |
% 23.90/7.25 | Combining equations (253,247) yields a new equation:
% 23.90/7.25 | (258) all_31_1_23 = all_29_1_21
% 23.90/7.25 |
% 23.90/7.25 | Simplifying 258 yields:
% 23.90/7.25 | (259) all_31_1_23 = all_29_1_21
% 23.90/7.25 |
% 23.90/7.25 | Combining equations (251,259) yields a new equation:
% 23.90/7.25 | (260) all_29_1_21 = 0
% 23.90/7.25 |
% 23.90/7.25 | Combining equations (250,259) yields a new equation:
% 23.90/7.25 | (261) all_29_1_21 = all_24_1_15
% 23.90/7.25 |
% 23.90/7.25 | Combining equations (257,259) yields a new equation:
% 23.90/7.25 | (262) all_29_1_21 = all_25_1_17
% 23.90/7.25 |
% 23.90/7.25 | Combining equations (261,262) yields a new equation:
% 23.90/7.25 | (263) all_25_1_17 = all_24_1_15
% 23.90/7.25 |
% 23.90/7.25 | Combining equations (260,262) yields a new equation:
% 23.90/7.25 | (264) all_25_1_17 = 0
% 23.90/7.25 |
% 23.90/7.25 | Combining equations (263,264) yields a new equation:
% 23.90/7.25 | (265) all_24_1_15 = 0
% 23.90/7.25 |
% 23.90/7.25 | Simplifying 265 yields:
% 23.90/7.25 | (266) all_24_1_15 = 0
% 23.90/7.25 |
% 23.90/7.25 | Equations (266) can reduce 226 to:
% 23.90/7.25 | (156) $false
% 23.90/7.25 |
% 23.90/7.25 |-The branch is then unsatisfiable
% 23.90/7.25 |-Branch two:
% 23.90/7.25 | (268) ssList(all_0_5_5) = all_24_1_15 & app(all_0_5_5, all_0_6_6) = all_24_0_14 & ( ~ (all_24_0_14 = all_0_11_11) | ~ (all_24_1_15 = 0))
% 23.90/7.25 |
% 23.90/7.25 | Applying alpha-rule on (268) yields:
% 23.90/7.25 | (269) ssList(all_0_5_5) = all_24_1_15
% 23.90/7.25 | (270) app(all_0_5_5, all_0_6_6) = all_24_0_14
% 23.90/7.25 | (271) ~ (all_24_0_14 = all_0_11_11) | ~ (all_24_1_15 = 0)
% 23.90/7.25 |
% 23.90/7.25 | Instantiating formula (84) with all_0_5_5, all_24_1_15, 0 and discharging atoms ssList(all_0_5_5) = all_24_1_15, ssList(all_0_5_5) = 0, yields:
% 23.90/7.25 | (266) all_24_1_15 = 0
% 23.90/7.25 |
% 23.90/7.25 | Instantiating formula (87) with all_0_5_5, all_0_6_6, all_24_0_14, all_0_11_11 and discharging atoms app(all_0_5_5, all_0_6_6) = all_24_0_14, app(all_0_5_5, all_0_6_6) = all_0_11_11, yields:
% 23.90/7.25 | (273) all_24_0_14 = all_0_11_11
% 23.90/7.25 |
% 23.90/7.25 +-Applying beta-rule and splitting (271), into two cases.
% 23.90/7.25 |-Branch one:
% 23.90/7.25 | (226) ~ (all_24_1_15 = 0)
% 23.90/7.25 |
% 23.90/7.25 | Equations (266) can reduce 226 to:
% 23.90/7.25 | (156) $false
% 23.90/7.25 |
% 23.90/7.25 |-The branch is then unsatisfiable
% 23.90/7.25 |-Branch two:
% 23.90/7.25 | (266) all_24_1_15 = 0
% 23.90/7.25 | (277) ~ (all_24_0_14 = all_0_11_11)
% 23.90/7.25 |
% 23.90/7.25 | Equations (273) can reduce 277 to:
% 23.90/7.25 | (156) $false
% 23.90/7.25 |
% 23.90/7.25 |-The branch is then unsatisfiable
% 23.90/7.25 |-Branch two:
% 23.90/7.25 | (279) all_0_11_11 = nil & ~ (all_0_12_12 = nil)
% 23.90/7.25 |
% 23.90/7.25 | Applying alpha-rule on (279) yields:
% 23.90/7.25 | (280) all_0_11_11 = nil
% 23.90/7.25 | (281) ~ (all_0_12_12 = nil)
% 23.90/7.25 |
% 23.90/7.25 +-Applying beta-rule and splitting (15), into two cases.
% 23.90/7.25 |-Branch one:
% 23.90/7.25 | (282) ~ (all_0_11_11 = nil)
% 23.90/7.25 |
% 23.90/7.25 | Equations (280) can reduce 282 to:
% 23.90/7.25 | (156) $false
% 23.90/7.25 |
% 23.90/7.25 |-The branch is then unsatisfiable
% 23.90/7.25 |-Branch two:
% 23.90/7.25 | (280) all_0_11_11 = nil
% 23.90/7.25 | (285) all_0_12_12 = nil
% 23.90/7.25 |
% 23.90/7.25 | Equations (285) can reduce 281 to:
% 23.90/7.25 | (156) $false
% 23.90/7.25 |
% 23.90/7.25 |-The branch is then unsatisfiable
% 23.90/7.25 % SZS output end Proof for theBenchmark
% 23.90/7.25
% 23.90/7.25 6621ms
%------------------------------------------------------------------------------