TSTP Solution File: SWC109+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC109+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:16:15 EDT 2022
% Result : Theorem 21.34s 6.52s
% Output : Proof 31.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC109+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.11 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Sun Jun 12 02:49:40 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.51 ____ _
% 0.15/0.51 ___ / __ \_____(_)___ ________ __________
% 0.15/0.51 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.15/0.51 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.15/0.51 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.15/0.51
% 0.15/0.51 A Theorem Prover for First-Order Logic
% 0.15/0.51 (ePrincess v.1.0)
% 0.15/0.51
% 0.15/0.51 (c) Philipp Rümmer, 2009-2015
% 0.15/0.51 (c) Peter Backeman, 2014-2015
% 0.15/0.51 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.15/0.51 Free software under GNU Lesser General Public License (LGPL).
% 0.15/0.51 Bug reports to peter@backeman.se
% 0.15/0.51
% 0.15/0.51 For more information, visit http://user.uu.se/~petba168/breu/
% 0.15/0.51
% 0.15/0.51 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.62/0.57 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.04/0.99 Prover 0: Preprocessing ...
% 4.23/1.57 Prover 0: Constructing countermodel ...
% 18.64/5.86 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.30/6.04 Prover 1: Preprocessing ...
% 20.71/6.30 Prover 1: Constructing countermodel ...
% 21.34/6.52 Prover 1: proved (656ms)
% 21.34/6.52 Prover 0: stopped
% 21.34/6.52
% 21.34/6.52 No countermodel exists, formula is valid
% 21.34/6.52 % SZS status Theorem for theBenchmark
% 21.34/6.52
% 21.34/6.52 Generating proof ... found it (size 225)
% 30.61/8.66
% 30.61/8.66 % SZS output start Proof for theBenchmark
% 30.61/8.66 Assumed formulas after preprocessing and simplification:
% 30.61/8.66 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = v15) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & segmentP(v3, v1) = v5 & singletonP(nil) = v0 & ssList(v3) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & neq(v3, nil) = v4 & neq(v1, nil) = v2 & ssItem(v16) = 0 & ssItem(v15) = 0 & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v20 = 0 | ~ (strictorderedP(v17) = 0) | ~ (lt(v18, v19) = v20) | ~ (ssList(v21) = 0) | ~ (cons(v19, v25) = v26) | ~ (cons(v18, v22) = v23) | ~ (app(v24, v26) = v17) | ~ (app(v21, v23) = v24) | ~ (ssItem(v18) = 0) | ? [v27] : (( ~ (v27 = 0) & ssList(v25) = v27) | ( ~ (v27 = 0) & ssList(v22) = v27) | ( ~ (v27 = 0) & ssList(v17) = v27) | ( ~ (v27 = 0) & ssItem(v19) = v27))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v20 = 0 | ~ (totalorderedP(v17) = 0) | ~ (leq(v18, v19) = v20) | ~ (ssList(v21) = 0) | ~ (cons(v19, v25) = v26) | ~ (cons(v18, v22) = v23) | ~ (app(v24, v26) = v17) | ~ (app(v21, v23) = v24) | ~ (ssItem(v18) = 0) | ? [v27] : (( ~ (v27 = 0) & ssList(v25) = v27) | ( ~ (v27 = 0) & ssList(v22) = v27) | ( ~ (v27 = 0) & ssList(v17) = v27) | ( ~ (v27 = 0) & ssItem(v19) = v27))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (duplicatefreeP(v17) = 0) | ~ (ssList(v19) = 0) | ~ (cons(v18, v23) = v24) | ~ (cons(v18, v20) = v21) | ~ (app(v22, v24) = v17) | ~ (app(v19, v21) = v22) | ~ (ssItem(v18) = 0) | ? [v25] : (( ~ (v25 = 0) & ssList(v23) = v25) | ( ~ (v25 = 0) & ssList(v20) = v25) | ( ~ (v25 = 0) & ssList(v17) = v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (segmentP(v22, v18) = v23) | ~ (segmentP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ~ (app(v20, v21) = v22) | ~ (app(v19, v17) = v20) | ? [v24] : (( ~ (v24 = 0) & ssList(v21) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v18) = v24))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v18 | ~ (equalelemsP(v17) = 0) | ~ (ssList(v20) = 0) | ~ (cons(v19, v21) = v22) | ~ (cons(v18, v22) = v23) | ~ (app(v20, v23) = v17) | ~ (ssItem(v19) = 0) | ~ (ssItem(v18) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v21) = v24) | ( ~ (v24 = 0) & ssList(v17) = v24))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (frontsegP(v20, v22) = v23) | ~ (cons(v18, v21) = v22) | ~ (cons(v17, v19) = v20) | ~ (ssItem(v18) = 0) | ~ (ssItem(v17) = 0) | ? [v24] : ? [v25] : (( ~ (v24 = 0) & ssList(v19) = v24) | (frontsegP(v19, v21) = v25 & ssList(v21) = v24 & ( ~ (v24 = 0) | (( ~ (v25 = 0) | ~ (v18 = v17) | v23 = 0) & ( ~ (v23 = 0) | (v25 = 0 & v18 = v17))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = 0 | ~ (segmentP(v17, v18) = v19) | ~ (ssList(v17) = 0) | ~ (app(v21, v22) = v17) | ~ (app(v20, v18) = v21) | ? [v23] : (( ~ (v23 = 0) & ssList(v22) = v23) | ( ~ (v23 = 0) & ssList(v20) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = 0 | ~ (memberP(v17, v18) = v19) | ~ (ssList(v20) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v18, v21) = v22) | ~ (app(v20, v22) = v17) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssItem(v18) = v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (memberP(v21, v17) = v22) | ~ (memberP(v18, v17) = v19) | ~ (app(v18, v20) = v21) | ~ (ssItem(v17) = 0) | ? [v23] : ? [v24] : (( ~ (v23 = 0) & ssList(v18) = v23) | (memberP(v20, v17) = v24 & ssList(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v22 = 0) | v24 = 0 | v19 = 0) & (v22 = 0 | ( ~ (v24 = 0) & ~ (v19 = 0)))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v19 | ~ (ssList(v18) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v21, v18) = v20) | ~ (cons(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssItem(v21) = v22) | ( ~ (v22 = 0) & ssItem(v19) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (rearsegP(v20, v18) = v21) | ~ (rearsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ~ (app(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v18) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (frontsegP(v20, v18) = v21) | ~ (frontsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ~ (app(v17, v19) = v20) | ? [v22] : (( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v18) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (ssList(v18) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v21, v18) = v20) | ~ (cons(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssItem(v21) = v22) | ( ~ (v22 = 0) & ssItem(v19) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (memberP(v20, v17) = v21) | ~ (cons(v18, v19) = v20) | ~ (ssItem(v18) = 0) | ~ (ssItem(v17) = 0) | ? [v22] : ? [v23] : (memberP(v19, v17) = v23 & ssList(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) | v23 = 0 | v18 = v17) & (v21 = 0 | ( ~ (v23 = 0) & ~ (v18 = v17))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (ssList(v17) = 0) | ~ (cons(v20, v19) = v21) | ~ (app(v18, v17) = v19) | ? [v22] : ? [v23] : ? [v24] : (( ~ (v22 = 0) & ssList(v18) = v22) | (cons(v20, v18) = v23 & app(v23, v17) = v24 & ssItem(v20) = v22 & ( ~ (v22 = 0) | v24 = v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (ssList(v17) = 0) | ~ (app(v19, v20) = v21) | ~ (app(v17, v18) = v19) | ? [v22] : ? [v23] : ? [v24] : (( ~ (v22 = 0) & ssList(v18) = v22) | (ssList(v20) = v22 & app(v18, v20) = v23 & app(v17, v23) = v24 & ( ~ (v22 = 0) | v24 = v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | v17 = nil | ~ (tl(v17) = v19) | ~ (hd(v17) = v18) | ~ (cons(v18, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & ssList(v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (ssList(v17) = 0) | ~ (app(v20, v18) = v19) | ~ (app(v17, v18) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (ssList(v17) = 0) | ~ (app(v18, v20) = v19) | ~ (app(v18, v17) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (gt(v17, v19) = v20) | ~ (gt(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (gt(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (geq(v17, v19) = v20) | ~ (geq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (geq(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (lt(v17, v19) = v20) | ~ (lt(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (lt(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (lt(v17, v19) = v20) | ~ (leq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (lt(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (leq(v17, v19) = v20) | ~ (leq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssItem(v18) = v21) | (leq(v18, v19) = v22 & ssItem(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (segmentP(v17, v19) = v20) | ~ (segmentP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v18) = v21) | (segmentP(v18, v19) = v22 & ssList(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (rearsegP(v17, v19) = v20) | ~ (rearsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v18) = v21) | (rearsegP(v18, v19) = v22 & ssList(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (frontsegP(v17, v19) = v20) | ~ (frontsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v18) = v21) | (frontsegP(v18, v19) = v22 & ssList(v19) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (rearsegP(v17, v18) = v19) | ~ (ssList(v17) = 0) | ~ (app(v20, v18) = v17) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (frontsegP(v17, v18) = v19) | ~ (ssList(v17) = 0) | ~ (app(v18, v20) = v17) | ? [v21] : (( ~ (v21 = 0) & ssList(v20) = v21) | ( ~ (v21 = 0) & ssList(v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (gt(v20, v19) = v18) | ~ (gt(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (geq(v20, v19) = v18) | ~ (geq(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (lt(v20, v19) = v18) | ~ (lt(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (leq(v20, v19) = v18) | ~ (leq(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (segmentP(v20, v19) = v18) | ~ (segmentP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (rearsegP(v20, v19) = v18) | ~ (rearsegP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (frontsegP(v20, v19) = v18) | ~ (frontsegP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (memberP(v20, v19) = v18) | ~ (memberP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (cons(v20, v19) = v18) | ~ (cons(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (app(v20, v19) = v18) | ~ (app(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (neq(v20, v19) = v18) | ~ (neq(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = nil | ~ (tl(v17) = v18) | ~ (app(v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : (( ~ (v21 = 0) & ssList(v17) = v21) | (tl(v22) = v23 & ssList(v19) = v21 & app(v17, v19) = v22 & ( ~ (v21 = 0) | v23 = v20)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = nil | ~ (hd(v17) = v18) | ~ (app(v17, v19) = v20) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v17) = v21) | (hd(v20) = v22 & ssList(v19) = v21 & ( ~ (v21 = 0) | v22 = v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hd(v18) = v19) | ~ (lt(v17, v19) = v20) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (strictorderedP(v22) = v23 & strictorderedP(v18) = v24 & ssList(v18) = v21 & cons(v17, v18) = v22 & ( ~ (v21 = 0) | (( ~ (v23 = 0) | v18 = nil | (v24 = 0 & v20 = 0)) & (v23 = 0 | ( ~ (v18 = nil) & ( ~ (v24 = 0) | ~ (v20 = 0)))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hd(v18) = v19) | ~ (leq(v17, v19) = v20) | ~ (ssItem(v17) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (totalorderedP(v22) = v23 & totalorderedP(v18) = v24 & ssList(v18) = v21 & cons(v17, v18) = v22 & ( ~ (v21 = 0) | (( ~ (v23 = 0) | v18 = nil | (v24 = 0 & v20 = 0)) & (v23 = 0 | ( ~ (v18 = nil) & ( ~ (v24 = 0) | ~ (v20 = 0)))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (strictorderP(v17) = 0) | ~ (lt(v18, v19) = v20) | ~ (ssItem(v18) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v17) = v21) | (lt(v19, v18) = v22 & ssItem(v19) = v21 & ( ~ (v21 = 0) | ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v22 = 0 | v20 = 0 | ~ (ssList(v23) = 0) | ~ (cons(v19, v27) = v28) | ~ (cons(v18, v24) = v25) | ~ (app(v26, v28) = v17) | ~ (app(v23, v25) = v26) | ? [v29] : (( ~ (v29 = 0) & ssList(v27) = v29) | ( ~ (v29 = 0) & ssList(v24) = v29))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (totalorderP(v17) = 0) | ~ (leq(v18, v19) = v20) | ~ (ssItem(v18) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v17) = v21) | (leq(v19, v18) = v22 & ssItem(v19) = v21 & ( ~ (v21 = 0) | ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v22 = 0 | v20 = 0 | ~ (ssList(v23) = 0) | ~ (cons(v19, v27) = v28) | ~ (cons(v18, v24) = v25) | ~ (app(v26, v28) = v17) | ~ (app(v23, v25) = v26) | ? [v29] : (( ~ (v29 = 0) & ssList(v27) = v29) | ( ~ (v29 = 0) & ssList(v24) = v29))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (cyclefreeP(v17) = 0) | ~ (leq(v18, v19) = v20) | ~ (ssItem(v18) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v17) = v21) | (leq(v19, v18) = v22 & ssItem(v19) = v21 & ( ~ (v21 = 0) | ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (v22 = 0) | ~ (v20 = 0) | ~ (ssList(v23) = 0) | ~ (cons(v19, v27) = v28) | ~ (cons(v18, v24) = v25) | ~ (app(v26, v28) = v17) | ~ (app(v23, v25) = v26) | ? [v29] : (( ~ (v29 = 0) & ssList(v27) = v29) | ( ~ (v29 = 0) & ssList(v24) = v29))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, nil) = v19) | ~ (app(v19, v17) = v20) | ? [v21] : ? [v22] : (cons(v18, v17) = v22 & ssItem(v18) = v21 & ( ~ (v21 = 0) | v22 = v20))) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | v18 = v17 | ~ (lt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (leq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0)))) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | v18 = v17 | ~ (ssList(v17) = 0) | ~ (neq(v17, v18) = v19) | ? [v20] : ( ~ (v20 = 0) & ssList(v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | v18 = v17 | ~ (neq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ( ~ (v20 = 0) & ssItem(v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (tl(v19) = v18) | ~ (tl(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (hd(v19) = v18) | ~ (hd(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (equalelemsP(v19) = v18) | ~ (equalelemsP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (duplicatefreeP(v19) = v18) | ~ (duplicatefreeP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (strictorderedP(v19) = v18) | ~ (strictorderedP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (totalorderedP(v19) = v18) | ~ (totalorderedP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (strictorderP(v19) = v18) | ~ (strictorderP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (totalorderP(v19) = v18) | ~ (totalorderP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (cyclefreeP(v19) = v18) | ~ (cyclefreeP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (singletonP(v19) = v18) | ~ (singletonP(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (ssList(v19) = v18) | ~ (ssList(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (ssItem(v19) = v18) | ~ (ssItem(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (singletonP(v17) = v18) | ~ (cons(v19, nil) = v17) | ? [v20] : (( ~ (v20 = 0) & ssList(v17) = v20) | ( ~ (v20 = 0) & ssItem(v19) = v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (gt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (lt(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | (( ~ (v21 = 0) | v19 = 0) & ( ~ (v19 = 0) | v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (geq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (leq(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | (( ~ (v21 = 0) | v19 = 0) & ( ~ (v19 = 0) | v21 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (lt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (leq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | (( ~ (v21 = 0) | v19 = 0 | v18 = v17) & ( ~ (v19 = 0) | (v21 = 0 & ~ (v18 = v17))))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = v19) | ? [v20] : ? [v21] : (tl(v19) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | v21 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = v19) | ? [v20] : ? [v21] : (hd(v19) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | v21 = v18))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = v19) | ? [v20] : ? [v21] : (ssList(v19) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | v21 = 0))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v17) = 0) | ~ (app(v17, v18) = v19) | ? [v20] : ? [v21] : (ssList(v19) = v21 & ssList(v18) = v20 & ( ~ (v20 = 0) | v21 = 0))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (geq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v19] : ? [v20] : (geq(v18, v17) = v20 & ssItem(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (leq(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v19] : ? [v20] : (leq(v18, v17) = v20 & ssItem(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (segmentP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : (segmentP(v18, v17) = v20 & ssList(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (rearsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : (rearsegP(v18, v17) = v20 & ssList(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (frontsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : (frontsegP(v18, v17) = v20 & ssList(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (app(v17, nil) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (app(nil, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = nil | ~ (ssList(v17) = 0) | ~ (app(v17, v18) = nil) | ? [v19] : ( ~ (v19 = 0) & ssList(v18) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (geq(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssItem(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (equalelemsP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v17 & v26 = 0 & v24 = 0 & v22 = 0 & v20 = 0 & ~ (v21 = v19) & ssList(v25) = 0 & ssList(v23) = 0 & cons(v21, v25) = v27 & cons(v19, v27) = v28 & app(v23, v28) = v17 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (duplicatefreeP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v17 & v30 = 0 & v26 = 0 & v24 = 0 & v22 = 0 & v21 = v19 & v20 = 0 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v19, v29) = v31 & cons(v19, v25) = v27 & app(v28, v31) = v17 & app(v23, v27) = v28 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (strictorderedP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v17 & v31 = 0 & v27 = 0 & v25 = 0 & v22 = 0 & v20 = 0 & ~ (v23 = 0) & lt(v19, v21) = v23 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v21, v30) = v32 & cons(v19, v26) = v28 & app(v29, v32) = v17 & app(v24, v28) = v29 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (totalorderedP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v17 & v31 = 0 & v27 = 0 & v25 = 0 & v22 = 0 & v20 = 0 & ~ (v23 = 0) & leq(v19, v21) = v23 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v21, v30) = v32 & cons(v19, v26) = v28 & app(v29, v32) = v17 & app(v24, v28) = v29 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (strictorderP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v34 = v17 & v32 = 0 & v28 = 0 & v26 = 0 & v22 = 0 & v20 = 0 & ~ (v24 = 0) & ~ (v23 = 0) & lt(v21, v19) = v24 & lt(v19, v21) = v23 & ssList(v31) = 0 & ssList(v27) = 0 & ssList(v25) = 0 & cons(v21, v31) = v33 & cons(v19, v27) = v29 & app(v30, v33) = v17 & app(v25, v29) = v30 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (totalorderP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v34 = v17 & v32 = 0 & v28 = 0 & v26 = 0 & v22 = 0 & v20 = 0 & ~ (v24 = 0) & ~ (v23 = 0) & leq(v21, v19) = v24 & leq(v19, v21) = v23 & ssList(v31) = 0 & ssList(v27) = 0 & ssList(v25) = 0 & cons(v21, v31) = v33 & cons(v19, v27) = v29 & app(v30, v33) = v17 & app(v25, v29) = v30 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (cyclefreeP(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v34 = v17 & v32 = 0 & v28 = 0 & v26 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & v20 = 0 & leq(v21, v19) = 0 & leq(v19, v21) = 0 & ssList(v31) = 0 & ssList(v27) = 0 & ssList(v25) = 0 & cons(v21, v31) = v33 & cons(v19, v27) = v29 & app(v30, v33) = v17 & app(v25, v29) = v30 & ssItem(v21) = 0 & ssItem(v19) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (leq(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssItem(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (segmentP(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (segmentP(v17, nil) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (rearsegP(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (rearsegP(v17, nil) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (frontsegP(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (frontsegP(v17, nil) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v17] : ! [v18] : (v17 = nil | ~ (tl(v17) = v18) | ? [v19] : ? [v20] : (ssList(v18) = v20 & ssList(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : (v17 = nil | ~ (tl(v17) = v18) | ? [v19] : ? [v20] : ((v20 = 0 & v19 = v18 & ssList(v18) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v17 = nil | ~ (hd(v17) = v18) | ? [v19] : ? [v20] : (ssList(v17) = v19 & ssItem(v18) = v20 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : (v17 = nil | ~ (hd(v17) = v18) | ? [v19] : ? [v20] : ((v20 = 0 & v19 = v18 & ssItem(v18) = 0) | ( ~ (v19 = 0) & ssList(v17) = v19))) & ! [v17] : ! [v18] : (v17 = nil | ~ (ssList(v17) = 0) | ~ (app(v17, v18) = nil) | ? [v19] : ( ~ (v19 = 0) & ssList(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (gt(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v19] : ? [v20] : (gt(v18, v17) = v20 & ssItem(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : ( ~ (tl(v17) = v18) | ? [v19] : ? [v20] : (hd(v17) = v20 & ssList(v17) = v19 & ( ~ (v19 = 0) | ! [v21] : (v21 = v17 | v21 = nil | v17 = nil | ~ (tl(v21) = v18) | ? [v22] : ? [v23] : (hd(v21) = v23 & ssList(v21) = v22 & ( ~ (v23 = v20) | ~ (v22 = 0))))))) & ! [v17] : ! [v18] : ( ~ (lt(v17, v18) = 0) | ~ (ssItem(v17) = 0) | ? [v19] : ? [v20] : (lt(v18, v17) = v20 & ssItem(v18) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : ( ~ (segmentP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v17 & v23 = 0 & v20 = 0 & ssList(v22) = 0 & ssList(v19) = 0 & app(v21, v22) = v17 & app(v19, v18) = v21) | ( ~ (v19 = 0) & ssList(v18) = v19))) & ! [v17] : ! [v18] : ( ~ (rearsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ((v21 = v17 & v20 = 0 & ssList(v19) = 0 & app(v19, v18) = v17) | ( ~ (v19 = 0) & ssList(v18) = v19))) & ! [v17] : ! [v18] : ( ~ (frontsegP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ((v21 = v17 & v20 = 0 & ssList(v19) = 0 & app(v18, v19) = v17) | ( ~ (v19 = 0) & ssList(v18) = v19))) & ! [v17] : ! [v18] : ( ~ (memberP(v17, v18) = 0) | ~ (ssList(v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v17 & v22 = 0 & v20 = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v18, v21) = v23 & app(v19, v23) = v17) | ( ~ (v19 = 0) & ssItem(v18) = v19))) & ! [v17] : ! [v18] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = v17) | ? [v19] : ( ~ (v19 = 0) & ssItem(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (ssList(v17) = 0) | ~ (cons(v18, v17) = nil) | ? [v19] : ( ~ (v19 = 0) & ssItem(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (equalelemsP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (duplicatefreeP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (strictorderedP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (totalorderedP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (strictorderP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (totalorderP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (cons(v17, nil) = v18) | ? [v19] : ? [v20] : (cyclefreeP(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : (v17 = nil | ~ (segmentP(nil, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v17] : (v17 = nil | ~ (rearsegP(nil, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v17] : (v17 = nil | ~ (frontsegP(nil, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v17] : (v17 = nil | ~ (ssList(v17) = 0) | ? [v18] : ? [v19] : (ssList(v18) = 0 & cons(v19, v18) = v17 & ssItem(v19) = 0)) & ! [v17] : (v17 = nil | ~ (app(nil, nil) = v17)) & ! [v17] : (v17 = 0 | ~ (segmentP(nil, nil) = v17)) & ! [v17] : (v17 = 0 | ~ (rearsegP(nil, nil) = v17)) & ! [v17] : (v17 = 0 | ~ (frontsegP(nil, nil) = v17)) & ! [v17] : ( ~ (lt(v17, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v17] : ( ~ (singletonP(v17) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = v17 & v19 = 0 & cons(v18, nil) = v17 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v17] : ( ~ (memberP(nil, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v17] : ( ~ (ssList(v17) = 0) | ~ (neq(v17, v17) = 0)) & ! [v17] : ( ~ (neq(v17, v17) = 0) | ~ (ssItem(v17) = 0)) & ((v14 = v3 & v13 = 0 & v10 = 0 & v8 = v1 & v7 = 0 & ssList(v12) = 0 & ssList(v9) = 0 & cons(v6, nil) = v1 & app(v11, v12) = v3 & app(v9, v1) = v11 & ssItem(v6) = 0 & ! [v17] : ( ~ (memberP(v12, v17) = 0) | ? [v18] : ? [v19] : (lt(v17, v6) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v17] : ( ~ (memberP(v9, v17) = 0) | ? [v18] : ? [v19] : (lt(v6, v17) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) | (v3 = nil & v1 = nil)) & ((v4 = 0 & ( ~ (v5 = 0) | ~ (v2 = 0))) | (v3 = nil & ~ (v1 = nil))))
% 30.92/8.75 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16 yields:
% 30.92/8.75 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_16_16 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & segmentP(all_0_13_13, all_0_15_15) = all_0_11_11 & singletonP(nil) = all_0_16_16 & ssList(all_0_13_13) = 0 & ssList(all_0_15_15) = 0 & ssList(nil) = 0 & neq(all_0_13_13, nil) = all_0_12_12 & neq(all_0_15_15, nil) = all_0_14_14 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (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_2_2 = all_0_13_13 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_15_15 & all_0_9_9 = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & cons(all_0_10_10, nil) = all_0_15_15 & app(all_0_5_5, all_0_4_4) = all_0_13_13 & app(all_0_7_7, all_0_15_15) = all_0_5_5 & ssItem(all_0_10_10) = 0 & ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) & ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_13_13 = nil & all_0_15_15 = nil)) & ((all_0_12_12 = 0 & ( ~ (all_0_11_11 = 0) | ~ (all_0_14_14 = 0))) | (all_0_13_13 = nil & ~ (all_0_15_15 = nil)))
% 31.39/8.78 |
% 31.39/8.78 | Applying alpha-rule on (1) yields:
% 31.39/8.78 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4))))
% 31.39/8.78 | (3) ssItem(all_0_0_0) = 0
% 31.39/8.78 | (4) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.78 | (5) totalorderP(nil) = 0
% 31.39/8.78 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 31.39/8.78 | (7) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 31.39/8.78 | (8) ! [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)))
% 31.39/8.78 | (9) totalorderedP(nil) = 0
% 31.39/8.78 | (10) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 31.39/8.78 | (11) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 31.39/8.78 | (12) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 31.39/8.78 | (13) ! [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)))
% 31.39/8.78 | (14) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 31.39/8.78 | (15) ! [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)))
% 31.39/8.78 | (16) ! [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)))
% 31.39/8.78 | (17) ! [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)))))
% 31.39/8.78 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 31.39/8.78 | (19) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 31.39/8.78 | (20) ssList(nil) = 0
% 31.39/8.78 | (21) neq(all_0_15_15, nil) = all_0_14_14
% 31.39/8.78 | (22) ! [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)))))
% 31.39/8.78 | (23) ! [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)))
% 31.39/8.78 | (24) ! [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)))))))
% 31.39/8.78 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 31.39/8.78 | (26) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 31.39/8.78 | (27) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 31.39/8.78 | (28) ! [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)))
% 31.39/8.78 | (29) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 31.39/8.78 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 31.39/8.78 | (31) ! [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)))
% 31.39/8.78 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 31.39/8.78 | (33) ! [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)))
% 31.39/8.79 | (34) ! [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)))))))
% 31.39/8.79 | (35) ! [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)))))
% 31.39/8.79 | (36) ! [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)))
% 31.39/8.79 | (37) ! [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)))
% 31.39/8.79 | (38) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 31.39/8.79 | (39) ! [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)))))))
% 31.39/8.79 | (40) ! [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))))
% 31.39/8.79 | (41) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 31.39/8.79 | (42) ! [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)))))
% 31.39/8.79 | (43) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 31.39/8.79 | (44) equalelemsP(nil) = 0
% 31.39/8.79 | (45) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 31.39/8.79 | (46) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 31.39/8.79 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 31.39/8.79 | (48) ~ (all_0_16_16 = 0)
% 31.39/8.79 | (49) singletonP(nil) = all_0_16_16
% 31.39/8.79 | (50) segmentP(all_0_13_13, all_0_15_15) = all_0_11_11
% 31.39/8.79 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 31.39/8.79 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 31.39/8.79 | (53) strictorderP(nil) = 0
% 31.39/8.79 | (54) ! [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)))
% 31.39/8.79 | (55) (all_0_12_12 = 0 & ( ~ (all_0_11_11 = 0) | ~ (all_0_14_14 = 0))) | (all_0_13_13 = nil & ~ (all_0_15_15 = nil))
% 31.39/8.79 | (56) ! [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))))))))
% 31.39/8.79 | (57) ! [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)))))
% 31.39/8.79 | (58) ! [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)))))))
% 31.39/8.79 | (59) ! [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)))))
% 31.39/8.79 | (60) neq(all_0_13_13, nil) = all_0_12_12
% 31.39/8.79 | (61) ! [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)))
% 31.39/8.79 | (62) ! [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)))))))
% 31.39/8.79 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 31.39/8.79 | (64) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 31.39/8.79 | (65) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 31.39/8.79 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 31.39/8.79 | (67) ! [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)))
% 31.39/8.79 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 31.39/8.79 | (69) ! [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)))))))
% 31.39/8.79 | (70) ! [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)))
% 31.39/8.79 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 31.39/8.79 | (72) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 31.39/8.79 | (73) ! [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)))
% 31.39/8.79 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 31.39/8.79 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 31.39/8.79 | (76) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.79 | (77) ! [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))))))))
% 31.39/8.79 | (78) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 31.39/8.79 | (79) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 31.39/8.79 | (80) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 31.39/8.79 | (81) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.79 | (82) ssList(all_0_15_15) = 0
% 31.39/8.79 | (83) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 31.39/8.79 | (84) ! [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))))
% 31.39/8.79 | (85) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 31.39/8.79 | (86) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 31.39/8.79 | (87) duplicatefreeP(nil) = 0
% 31.39/8.79 | (88) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 31.39/8.79 | (89) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.80 | (90) (all_0_2_2 = all_0_13_13 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_15_15 & all_0_9_9 = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & cons(all_0_10_10, nil) = all_0_15_15 & app(all_0_5_5, all_0_4_4) = all_0_13_13 & app(all_0_7_7, all_0_15_15) = all_0_5_5 & ssItem(all_0_10_10) = 0 & ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) & ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_13_13 = nil & all_0_15_15 = nil)
% 31.39/8.80 | (91) ! [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))))
% 31.39/8.80 | (92) ! [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)))
% 31.39/8.80 | (93) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.80 | (94) ! [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)))
% 31.39/8.80 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 31.39/8.80 | (96) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.80 | (97) ! [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)))
% 31.39/8.80 | (98) ! [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)))
% 31.39/8.80 | (99) ! [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)))))
% 31.39/8.80 | (100) ! [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)))
% 31.39/8.80 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 31.39/8.80 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 31.39/8.80 | (103) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 31.39/8.80 | (104) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 31.39/8.80 | (105) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 31.39/8.80 | (106) ! [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)))))))
% 31.39/8.80 | (107) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 31.39/8.80 | (108) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 31.39/8.80 | (109) ! [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))))
% 31.39/8.80 | (110) strictorderedP(nil) = 0
% 31.39/8.80 | (111) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 31.39/8.80 | (112) ssList(all_0_13_13) = 0
% 31.39/8.80 | (113) ! [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)))
% 31.39/8.80 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 31.39/8.80 | (115) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 31.39/8.80 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 31.39/8.80 | (117) ! [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)))
% 31.39/8.80 | (118) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 31.39/8.80 | (119) ! [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)))
% 31.39/8.80 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 31.39/8.80 | (121) ! [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))))))))
% 31.39/8.80 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 31.39/8.80 | (123) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 31.39/8.80 | (124) ! [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)))))
% 31.39/8.80 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 31.39/8.80 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 31.39/8.80 | (127) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 31.39/8.80 | (128) ! [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)))))
% 31.39/8.80 | (129) ! [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)))
% 31.39/8.80 | (130) ! [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)))
% 31.39/8.80 | (131) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.80 | (132) ! [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)))
% 31.39/8.80 | (133) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 31.39/8.80 | (134) ! [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)))
% 31.39/8.80 | (135) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 31.39/8.80 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 31.39/8.80 | (137) ~ (all_0_0_0 = all_0_1_1)
% 31.39/8.80 | (138) ssItem(all_0_1_1) = 0
% 31.39/8.80 | (139) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.80 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 31.39/8.80 | (141) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 31.39/8.80 | (142) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 31.39/8.80 | (143) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 31.39/8.80 | (144) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 31.39/8.80 | (145) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 31.39/8.80 | (146) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 31.39/8.81 | (147) cyclefreeP(nil) = 0
% 31.39/8.81 | (148) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 31.50/8.81 | (149) ! [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)))))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (25) with all_0_15_15, nil, all_0_14_14, all_0_12_12 and discharging atoms neq(all_0_15_15, nil) = all_0_14_14, yields:
% 31.50/8.81 | (150) all_0_12_12 = all_0_14_14 | ~ (neq(all_0_15_15, nil) = all_0_12_12)
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (41) with all_0_15_15 and discharging atoms ssList(all_0_15_15) = 0, yields:
% 31.50/8.81 | (151) all_0_15_15 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_15_15 & ssItem(v1) = 0)
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (105) with all_0_14_14, nil, all_0_15_15 and discharging atoms ssList(all_0_15_15) = 0, neq(all_0_15_15, nil) = all_0_14_14, yields:
% 31.50/8.81 | (152) all_0_14_14 = 0 | all_0_15_15 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 31.50/8.81 |
% 31.50/8.81 +-Applying beta-rule and splitting (55), into two cases.
% 31.50/8.81 |-Branch one:
% 31.50/8.81 | (153) all_0_12_12 = 0 & ( ~ (all_0_11_11 = 0) | ~ (all_0_14_14 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (153) yields:
% 31.50/8.81 | (154) all_0_12_12 = 0
% 31.50/8.81 | (155) ~ (all_0_11_11 = 0) | ~ (all_0_14_14 = 0)
% 31.50/8.81 |
% 31.50/8.81 | From (154) and (60) follows:
% 31.50/8.81 | (156) neq(all_0_13_13, nil) = 0
% 31.50/8.81 |
% 31.50/8.81 +-Applying beta-rule and splitting (90), into two cases.
% 31.50/8.81 |-Branch one:
% 31.50/8.81 | (157) all_0_2_2 = all_0_13_13 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_15_15 & all_0_9_9 = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & cons(all_0_10_10, nil) = all_0_15_15 & app(all_0_5_5, all_0_4_4) = all_0_13_13 & app(all_0_7_7, all_0_15_15) = all_0_5_5 & ssItem(all_0_10_10) = 0 & ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) & ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (157) yields:
% 31.50/8.81 | (158) ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 31.50/8.81 | (159) cons(all_0_10_10, nil) = all_0_15_15
% 31.50/8.81 | (160) app(all_0_5_5, all_0_4_4) = all_0_13_13
% 31.50/8.81 | (161) all_0_2_2 = all_0_13_13
% 31.50/8.81 | (162) ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 31.50/8.81 | (163) all_0_6_6 = 0
% 31.50/8.81 | (164) all_0_8_8 = all_0_15_15
% 31.50/8.81 | (165) ssList(all_0_4_4) = 0
% 31.50/8.81 | (166) all_0_3_3 = 0
% 31.50/8.81 | (167) app(all_0_7_7, all_0_15_15) = all_0_5_5
% 31.50/8.81 | (168) ssItem(all_0_10_10) = 0
% 31.50/8.81 | (169) all_0_9_9 = 0
% 31.50/8.81 | (170) ssList(all_0_7_7) = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (72) with all_0_15_15, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (171) ? [v0] : ? [v1] : (tl(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (142) with all_0_15_15, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (172) ? [v0] : ? [v1] : (hd(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (72) with nil, all_0_10_10, nil and discharging atoms ssList(nil) = 0, yields:
% 31.50/8.81 | (173) ~ (cons(all_0_10_10, nil) = nil) | ? [v0] : ? [v1] : (tl(nil) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (142) with nil, all_0_10_10, nil and discharging atoms ssList(nil) = 0, yields:
% 31.50/8.81 | (174) ~ (cons(all_0_10_10, nil) = nil) | ? [v0] : ? [v1] : (hd(nil) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (81) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (175) ? [v0] : ? [v1] : (equalelemsP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (76) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (176) ? [v0] : ? [v1] : (duplicatefreeP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (93) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (177) ? [v0] : ? [v1] : (strictorderedP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (4) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (178) ? [v0] : ? [v1] : (totalorderedP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (139) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (179) ? [v0] : ? [v1] : (strictorderP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (89) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (180) ? [v0] : ? [v1] : (totalorderP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (131) with all_0_15_15, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_15_15, yields:
% 31.50/8.81 | (181) ? [v0] : ? [v1] : (cyclefreeP(all_0_15_15) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (123) with all_0_10_10, nil and discharging atoms ssList(nil) = 0, yields:
% 31.50/8.81 | (182) ~ (cons(all_0_10_10, nil) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_10_10) = v0)
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (119) with all_0_4_4, all_0_5_5, all_0_7_7, all_0_11_11, all_0_15_15, all_0_13_13 and discharging atoms segmentP(all_0_13_13, all_0_15_15) = all_0_11_11, ssList(all_0_13_13) = 0, app(all_0_5_5, all_0_4_4) = all_0_13_13, app(all_0_7_7, all_0_15_15) = all_0_5_5, yields:
% 31.50/8.81 | (183) all_0_11_11 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | ( ~ (v0 = 0) & ssList(all_0_15_15) = v0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (51) with all_0_5_5, all_0_15_15, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, app(all_0_7_7, all_0_15_15) = all_0_5_5, yields:
% 31.50/8.81 | (184) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssList(all_0_15_15) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating formula (109) with all_0_13_13, all_0_4_4, all_0_5_5, all_0_15_15, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, app(all_0_5_5, all_0_4_4) = all_0_13_13, app(all_0_7_7, all_0_15_15) = all_0_5_5, yields:
% 31.50/8.81 | (185) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_15_15) = v0) | (ssList(all_0_4_4) = v0 & app(all_0_7_7, v1) = v2 & app(all_0_15_15, all_0_4_4) = v1 & ( ~ (v0 = 0) | v2 = all_0_13_13)))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (185) with all_23_0_17, all_23_1_18, all_23_2_19 yields:
% 31.50/8.81 | (186) ( ~ (all_23_2_19 = 0) & ssList(all_0_15_15) = all_23_2_19) | (ssList(all_0_4_4) = all_23_2_19 & app(all_0_7_7, all_23_1_18) = all_23_0_17 & app(all_0_15_15, all_0_4_4) = all_23_1_18 & ( ~ (all_23_2_19 = 0) | all_23_0_17 = all_0_13_13))
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (181) with all_24_0_20, all_24_1_21 yields:
% 31.50/8.81 | (187) cyclefreeP(all_0_15_15) = all_24_0_20 & ssItem(all_0_10_10) = all_24_1_21 & ( ~ (all_24_1_21 = 0) | all_24_0_20 = 0)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (187) yields:
% 31.50/8.81 | (188) cyclefreeP(all_0_15_15) = all_24_0_20
% 31.50/8.81 | (189) ssItem(all_0_10_10) = all_24_1_21
% 31.50/8.81 | (190) ~ (all_24_1_21 = 0) | all_24_0_20 = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (180) with all_26_0_22, all_26_1_23 yields:
% 31.50/8.81 | (191) totalorderP(all_0_15_15) = all_26_0_22 & ssItem(all_0_10_10) = all_26_1_23 & ( ~ (all_26_1_23 = 0) | all_26_0_22 = 0)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (191) yields:
% 31.50/8.81 | (192) totalorderP(all_0_15_15) = all_26_0_22
% 31.50/8.81 | (193) ssItem(all_0_10_10) = all_26_1_23
% 31.50/8.81 | (194) ~ (all_26_1_23 = 0) | all_26_0_22 = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (175) with all_28_0_24, all_28_1_25 yields:
% 31.50/8.81 | (195) equalelemsP(all_0_15_15) = all_28_0_24 & ssItem(all_0_10_10) = all_28_1_25 & ( ~ (all_28_1_25 = 0) | all_28_0_24 = 0)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (195) yields:
% 31.50/8.81 | (196) equalelemsP(all_0_15_15) = all_28_0_24
% 31.50/8.81 | (197) ssItem(all_0_10_10) = all_28_1_25
% 31.50/8.81 | (198) ~ (all_28_1_25 = 0) | all_28_0_24 = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (179) with all_30_0_26, all_30_1_27 yields:
% 31.50/8.81 | (199) strictorderP(all_0_15_15) = all_30_0_26 & ssItem(all_0_10_10) = all_30_1_27 & ( ~ (all_30_1_27 = 0) | all_30_0_26 = 0)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (199) yields:
% 31.50/8.81 | (200) strictorderP(all_0_15_15) = all_30_0_26
% 31.50/8.81 | (201) ssItem(all_0_10_10) = all_30_1_27
% 31.50/8.81 | (202) ~ (all_30_1_27 = 0) | all_30_0_26 = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (177) with all_32_0_28, all_32_1_29 yields:
% 31.50/8.81 | (203) strictorderedP(all_0_15_15) = all_32_0_28 & ssItem(all_0_10_10) = all_32_1_29 & ( ~ (all_32_1_29 = 0) | all_32_0_28 = 0)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (203) yields:
% 31.50/8.81 | (204) strictorderedP(all_0_15_15) = all_32_0_28
% 31.50/8.81 | (205) ssItem(all_0_10_10) = all_32_1_29
% 31.50/8.81 | (206) ~ (all_32_1_29 = 0) | all_32_0_28 = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (176) with all_34_0_30, all_34_1_31 yields:
% 31.50/8.81 | (207) duplicatefreeP(all_0_15_15) = all_34_0_30 & ssItem(all_0_10_10) = all_34_1_31 & ( ~ (all_34_1_31 = 0) | all_34_0_30 = 0)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (207) yields:
% 31.50/8.81 | (208) duplicatefreeP(all_0_15_15) = all_34_0_30
% 31.50/8.81 | (209) ssItem(all_0_10_10) = all_34_1_31
% 31.50/8.81 | (210) ~ (all_34_1_31 = 0) | all_34_0_30 = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (178) with all_36_0_32, all_36_1_33 yields:
% 31.50/8.81 | (211) totalorderedP(all_0_15_15) = all_36_0_32 & ssItem(all_0_10_10) = all_36_1_33 & ( ~ (all_36_1_33 = 0) | all_36_0_32 = 0)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (211) yields:
% 31.50/8.81 | (212) totalorderedP(all_0_15_15) = all_36_0_32
% 31.50/8.81 | (213) ssItem(all_0_10_10) = all_36_1_33
% 31.50/8.81 | (214) ~ (all_36_1_33 = 0) | all_36_0_32 = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (184) with all_38_0_34, all_38_1_35 yields:
% 31.50/8.81 | (215) ssList(all_0_5_5) = all_38_0_34 & ssList(all_0_15_15) = all_38_1_35 & ( ~ (all_38_1_35 = 0) | all_38_0_34 = 0)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (215) yields:
% 31.50/8.81 | (216) ssList(all_0_5_5) = all_38_0_34
% 31.50/8.81 | (217) ssList(all_0_15_15) = all_38_1_35
% 31.50/8.81 | (218) ~ (all_38_1_35 = 0) | all_38_0_34 = 0
% 31.50/8.81 |
% 31.50/8.81 | Instantiating (172) with all_40_0_36, all_40_1_37 yields:
% 31.50/8.81 | (219) hd(all_0_15_15) = all_40_0_36 & ssItem(all_0_10_10) = all_40_1_37 & ( ~ (all_40_1_37 = 0) | all_40_0_36 = all_0_10_10)
% 31.50/8.81 |
% 31.50/8.81 | Applying alpha-rule on (219) yields:
% 31.50/8.81 | (220) hd(all_0_15_15) = all_40_0_36
% 31.50/8.82 | (221) ssItem(all_0_10_10) = all_40_1_37
% 31.50/8.82 | (222) ~ (all_40_1_37 = 0) | all_40_0_36 = all_0_10_10
% 31.50/8.82 |
% 31.50/8.82 | Instantiating (171) with all_42_0_38, all_42_1_39 yields:
% 31.50/8.82 | (223) tl(all_0_15_15) = all_42_0_38 & ssItem(all_0_10_10) = all_42_1_39 & ( ~ (all_42_1_39 = 0) | all_42_0_38 = nil)
% 31.50/8.82 |
% 31.50/8.82 | Applying alpha-rule on (223) yields:
% 31.50/8.82 | (224) tl(all_0_15_15) = all_42_0_38
% 31.50/8.82 | (225) ssItem(all_0_10_10) = all_42_1_39
% 31.50/8.82 | (226) ~ (all_42_1_39 = 0) | all_42_0_38 = nil
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (52) with all_0_15_15, all_38_1_35, 0 and discharging atoms ssList(all_0_15_15) = all_38_1_35, ssList(all_0_15_15) = 0, yields:
% 31.50/8.82 | (227) all_38_1_35 = 0
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (52) with all_0_15_15, all_38_1_35, all_38_0_34 and discharging atoms ssList(all_0_15_15) = all_38_1_35, yields:
% 31.50/8.82 | (228) all_38_0_34 = all_38_1_35 | ~ (ssList(all_0_15_15) = all_38_0_34)
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_40_1_37, 0 and discharging atoms ssItem(all_0_10_10) = all_40_1_37, ssItem(all_0_10_10) = 0, yields:
% 31.50/8.82 | (229) all_40_1_37 = 0
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_40_1_37, all_42_1_39 and discharging atoms ssItem(all_0_10_10) = all_42_1_39, ssItem(all_0_10_10) = all_40_1_37, yields:
% 31.50/8.82 | (230) all_42_1_39 = all_40_1_37
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_36_1_33, all_42_1_39 and discharging atoms ssItem(all_0_10_10) = all_42_1_39, ssItem(all_0_10_10) = all_36_1_33, yields:
% 31.50/8.82 | (231) all_42_1_39 = all_36_1_33
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_34_1_31, all_36_1_33 and discharging atoms ssItem(all_0_10_10) = all_36_1_33, ssItem(all_0_10_10) = all_34_1_31, yields:
% 31.50/8.82 | (232) all_36_1_33 = all_34_1_31
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_30_1_27, all_42_1_39 and discharging atoms ssItem(all_0_10_10) = all_42_1_39, ssItem(all_0_10_10) = all_30_1_27, yields:
% 31.50/8.82 | (233) all_42_1_39 = all_30_1_27
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_28_1_25, all_36_1_33 and discharging atoms ssItem(all_0_10_10) = all_36_1_33, ssItem(all_0_10_10) = all_28_1_25, yields:
% 31.50/8.82 | (234) all_36_1_33 = all_28_1_25
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_26_1_23, all_36_1_33 and discharging atoms ssItem(all_0_10_10) = all_36_1_33, ssItem(all_0_10_10) = all_26_1_23, yields:
% 31.50/8.82 | (235) all_36_1_33 = all_26_1_23
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_26_1_23, all_32_1_29 and discharging atoms ssItem(all_0_10_10) = all_32_1_29, ssItem(all_0_10_10) = all_26_1_23, yields:
% 31.50/8.82 | (236) all_32_1_29 = all_26_1_23
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (18) with all_0_10_10, all_24_1_21, all_32_1_29 and discharging atoms ssItem(all_0_10_10) = all_32_1_29, ssItem(all_0_10_10) = all_24_1_21, yields:
% 31.50/8.82 | (237) all_32_1_29 = all_24_1_21
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (231,233) yields a new equation:
% 31.50/8.82 | (238) all_36_1_33 = all_30_1_27
% 31.50/8.82 |
% 31.50/8.82 | Simplifying 238 yields:
% 31.50/8.82 | (239) all_36_1_33 = all_30_1_27
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (230,233) yields a new equation:
% 31.50/8.82 | (240) all_40_1_37 = all_30_1_27
% 31.50/8.82 |
% 31.50/8.82 | Simplifying 240 yields:
% 31.50/8.82 | (241) all_40_1_37 = all_30_1_27
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (241,229) yields a new equation:
% 31.50/8.82 | (242) all_30_1_27 = 0
% 31.50/8.82 |
% 31.50/8.82 | Simplifying 242 yields:
% 31.50/8.82 | (243) all_30_1_27 = 0
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (235,232) yields a new equation:
% 31.50/8.82 | (244) all_34_1_31 = all_26_1_23
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (234,232) yields a new equation:
% 31.50/8.82 | (245) all_34_1_31 = all_28_1_25
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (239,232) yields a new equation:
% 31.50/8.82 | (246) all_34_1_31 = all_30_1_27
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (246,245) yields a new equation:
% 31.50/8.82 | (247) all_30_1_27 = all_28_1_25
% 31.50/8.82 |
% 31.50/8.82 | Simplifying 247 yields:
% 31.50/8.82 | (248) all_30_1_27 = all_28_1_25
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (244,245) yields a new equation:
% 31.50/8.82 | (249) all_28_1_25 = all_26_1_23
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (236,237) yields a new equation:
% 31.50/8.82 | (250) all_26_1_23 = all_24_1_21
% 31.50/8.82 |
% 31.50/8.82 | Simplifying 250 yields:
% 31.50/8.82 | (251) all_26_1_23 = all_24_1_21
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (248,243) yields a new equation:
% 31.50/8.82 | (252) all_28_1_25 = 0
% 31.50/8.82 |
% 31.50/8.82 | Simplifying 252 yields:
% 31.50/8.82 | (253) all_28_1_25 = 0
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (249,253) yields a new equation:
% 31.50/8.82 | (254) all_26_1_23 = 0
% 31.50/8.82 |
% 31.50/8.82 | Simplifying 254 yields:
% 31.50/8.82 | (255) all_26_1_23 = 0
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (251,255) yields a new equation:
% 31.50/8.82 | (256) all_24_1_21 = 0
% 31.50/8.82 |
% 31.50/8.82 | Simplifying 256 yields:
% 31.50/8.82 | (257) all_24_1_21 = 0
% 31.50/8.82 |
% 31.50/8.82 | From (227) and (217) follows:
% 31.50/8.82 | (82) ssList(all_0_15_15) = 0
% 31.50/8.82 |
% 31.50/8.82 | From (257) and (189) follows:
% 31.50/8.82 | (168) ssItem(all_0_10_10) = 0
% 31.50/8.82 |
% 31.50/8.82 +-Applying beta-rule and splitting (182), into two cases.
% 31.50/8.82 |-Branch one:
% 31.50/8.82 | (260) ~ (cons(all_0_10_10, nil) = nil)
% 31.50/8.82 |
% 31.50/8.82 +-Applying beta-rule and splitting (186), into two cases.
% 31.50/8.82 |-Branch one:
% 31.50/8.82 | (261) ~ (all_23_2_19 = 0) & ssList(all_0_15_15) = all_23_2_19
% 31.50/8.82 |
% 31.50/8.82 | Applying alpha-rule on (261) yields:
% 31.50/8.82 | (262) ~ (all_23_2_19 = 0)
% 31.50/8.82 | (263) ssList(all_0_15_15) = all_23_2_19
% 31.50/8.82 |
% 31.50/8.82 +-Applying beta-rule and splitting (228), into two cases.
% 31.50/8.82 |-Branch one:
% 31.50/8.82 | (264) ~ (ssList(all_0_15_15) = all_38_0_34)
% 31.50/8.82 |
% 31.50/8.82 +-Applying beta-rule and splitting (218), into two cases.
% 31.50/8.82 |-Branch one:
% 31.50/8.82 | (265) ~ (all_38_1_35 = 0)
% 31.50/8.82 |
% 31.50/8.82 | Equations (227) can reduce 265 to:
% 31.50/8.82 | (266) $false
% 31.50/8.82 |
% 31.50/8.82 |-The branch is then unsatisfiable
% 31.50/8.82 |-Branch two:
% 31.50/8.82 | (227) all_38_1_35 = 0
% 31.50/8.82 | (268) all_38_0_34 = 0
% 31.50/8.82 |
% 31.50/8.82 | From (268) and (264) follows:
% 31.50/8.82 | (269) ~ (ssList(all_0_15_15) = 0)
% 31.50/8.82 |
% 31.50/8.82 | Using (82) and (269) yields:
% 31.50/8.82 | (270) $false
% 31.50/8.82 |
% 31.50/8.82 |-The branch is then unsatisfiable
% 31.50/8.82 |-Branch two:
% 31.50/8.82 | (271) ssList(all_0_15_15) = all_38_0_34
% 31.50/8.82 | (272) all_38_0_34 = all_38_1_35
% 31.50/8.82 |
% 31.50/8.82 | Combining equations (227,272) yields a new equation:
% 31.50/8.82 | (268) all_38_0_34 = 0
% 31.50/8.82 |
% 31.50/8.82 | From (268) and (271) follows:
% 31.50/8.82 | (82) ssList(all_0_15_15) = 0
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (52) with all_0_15_15, all_23_2_19, 0 and discharging atoms ssList(all_0_15_15) = all_23_2_19, ssList(all_0_15_15) = 0, yields:
% 31.50/8.82 | (275) all_23_2_19 = 0
% 31.50/8.82 |
% 31.50/8.82 | Equations (275) can reduce 262 to:
% 31.50/8.82 | (266) $false
% 31.50/8.82 |
% 31.50/8.82 |-The branch is then unsatisfiable
% 31.50/8.82 |-Branch two:
% 31.50/8.82 | (277) ssList(all_0_4_4) = all_23_2_19 & app(all_0_7_7, all_23_1_18) = all_23_0_17 & app(all_0_15_15, all_0_4_4) = all_23_1_18 & ( ~ (all_23_2_19 = 0) | all_23_0_17 = all_0_13_13)
% 31.50/8.82 |
% 31.50/8.82 | Applying alpha-rule on (277) yields:
% 31.50/8.82 | (278) ssList(all_0_4_4) = all_23_2_19
% 31.50/8.82 | (279) app(all_0_7_7, all_23_1_18) = all_23_0_17
% 31.50/8.82 | (280) app(all_0_15_15, all_0_4_4) = all_23_1_18
% 31.50/8.82 | (281) ~ (all_23_2_19 = 0) | all_23_0_17 = all_0_13_13
% 31.50/8.82 |
% 31.50/8.82 | Instantiating formula (52) with all_0_4_4, all_23_2_19, 0 and discharging atoms ssList(all_0_4_4) = all_23_2_19, ssList(all_0_4_4) = 0, yields:
% 31.50/8.82 | (275) all_23_2_19 = 0
% 31.50/8.82 |
% 31.50/8.82 | Using (159) and (260) yields:
% 31.50/8.82 | (283) ~ (all_0_15_15 = nil)
% 31.50/8.82 |
% 31.50/8.82 | From (275) and (278) follows:
% 31.50/8.82 | (165) ssList(all_0_4_4) = 0
% 31.50/8.82 |
% 31.50/8.82 +-Applying beta-rule and splitting (183), into two cases.
% 31.50/8.82 |-Branch one:
% 31.50/8.82 | (285) all_0_11_11 = 0
% 31.50/8.82 |
% 31.50/8.82 +-Applying beta-rule and splitting (155), into two cases.
% 31.50/8.82 |-Branch one:
% 31.50/8.82 | (286) ~ (all_0_11_11 = 0)
% 31.50/8.82 |
% 31.50/8.82 | Equations (285) can reduce 286 to:
% 31.50/8.82 | (266) $false
% 31.50/8.82 |
% 31.50/8.82 |-The branch is then unsatisfiable
% 31.50/8.82 |-Branch two:
% 31.50/8.82 | (285) all_0_11_11 = 0
% 31.50/8.82 | (289) ~ (all_0_14_14 = 0)
% 31.50/8.82 |
% 31.50/8.82 +-Applying beta-rule and splitting (151), into two cases.
% 31.50/8.82 |-Branch one:
% 31.50/8.82 | (290) all_0_15_15 = nil
% 31.50/8.82 |
% 31.50/8.82 | Equations (290) can reduce 283 to:
% 31.50/8.82 | (266) $false
% 31.50/8.82 |
% 31.50/8.82 |-The branch is then unsatisfiable
% 31.50/8.82 |-Branch two:
% 31.50/8.82 | (283) ~ (all_0_15_15 = nil)
% 31.50/8.82 | (293) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_15_15 & ssItem(v1) = 0)
% 31.50/8.82 |
% 31.50/8.82 +-Applying beta-rule and splitting (152), into two cases.
% 31.50/8.82 |-Branch one:
% 31.50/8.82 | (290) all_0_15_15 = nil
% 31.59/8.82 |
% 31.59/8.82 | Equations (290) can reduce 283 to:
% 31.59/8.82 | (266) $false
% 31.59/8.82 |
% 31.59/8.82 |-The branch is then unsatisfiable
% 31.59/8.82 |-Branch two:
% 31.59/8.82 | (283) ~ (all_0_15_15 = nil)
% 31.59/8.82 | (297) all_0_14_14 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 31.59/8.82 |
% 31.59/8.82 +-Applying beta-rule and splitting (297), into two cases.
% 31.59/8.82 |-Branch one:
% 31.59/8.82 | (298) all_0_14_14 = 0
% 31.59/8.82 |
% 31.59/8.82 | Equations (298) can reduce 289 to:
% 31.59/8.82 | (266) $false
% 31.59/8.82 |
% 31.59/8.82 |-The branch is then unsatisfiable
% 31.59/8.82 |-Branch two:
% 31.59/8.82 | (289) ~ (all_0_14_14 = 0)
% 31.59/8.82 | (301) ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 31.59/8.82 |
% 31.59/8.82 | Instantiating (301) with all_129_0_42 yields:
% 31.59/8.82 | (302) ~ (all_129_0_42 = 0) & ssList(nil) = all_129_0_42
% 31.59/8.82 |
% 31.59/8.82 | Applying alpha-rule on (302) yields:
% 31.59/8.82 | (303) ~ (all_129_0_42 = 0)
% 31.59/8.82 | (304) ssList(nil) = all_129_0_42
% 31.59/8.82 |
% 31.59/8.82 | Instantiating formula (52) with nil, all_129_0_42, 0 and discharging atoms ssList(nil) = all_129_0_42, ssList(nil) = 0, yields:
% 31.59/8.82 | (305) all_129_0_42 = 0
% 31.59/8.82 |
% 31.59/8.82 | Equations (305) can reduce 303 to:
% 31.59/8.82 | (266) $false
% 31.59/8.82 |
% 31.59/8.82 |-The branch is then unsatisfiable
% 31.59/8.82 |-Branch two:
% 31.59/8.82 | (286) ~ (all_0_11_11 = 0)
% 31.59/8.82 | (308) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | ( ~ (v0 = 0) & ssList(all_0_15_15) = v0))
% 31.59/8.82 |
% 31.59/8.82 | Instantiating (308) with all_104_0_43 yields:
% 31.59/8.82 | (309) ( ~ (all_104_0_43 = 0) & ssList(all_0_4_4) = all_104_0_43) | ( ~ (all_104_0_43 = 0) & ssList(all_0_7_7) = all_104_0_43) | ( ~ (all_104_0_43 = 0) & ssList(all_0_15_15) = all_104_0_43)
% 31.59/8.82 |
% 31.59/8.83 +-Applying beta-rule and splitting (309), into two cases.
% 31.59/8.83 |-Branch one:
% 31.59/8.83 | (310) ( ~ (all_104_0_43 = 0) & ssList(all_0_4_4) = all_104_0_43) | ( ~ (all_104_0_43 = 0) & ssList(all_0_7_7) = all_104_0_43)
% 31.59/8.83 |
% 31.59/8.83 +-Applying beta-rule and splitting (310), into two cases.
% 31.59/8.83 |-Branch one:
% 31.59/8.83 | (311) ~ (all_104_0_43 = 0) & ssList(all_0_4_4) = all_104_0_43
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (311) yields:
% 31.59/8.83 | (312) ~ (all_104_0_43 = 0)
% 31.59/8.83 | (313) ssList(all_0_4_4) = all_104_0_43
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (52) with all_0_4_4, all_104_0_43, 0 and discharging atoms ssList(all_0_4_4) = all_104_0_43, ssList(all_0_4_4) = 0, yields:
% 31.59/8.83 | (314) all_104_0_43 = 0
% 31.59/8.83 |
% 31.59/8.83 | Equations (314) can reduce 312 to:
% 31.59/8.83 | (266) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (316) ~ (all_104_0_43 = 0) & ssList(all_0_7_7) = all_104_0_43
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (316) yields:
% 31.59/8.83 | (312) ~ (all_104_0_43 = 0)
% 31.59/8.83 | (318) ssList(all_0_7_7) = all_104_0_43
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (52) with all_0_7_7, all_104_0_43, 0 and discharging atoms ssList(all_0_7_7) = all_104_0_43, ssList(all_0_7_7) = 0, yields:
% 31.59/8.83 | (314) all_104_0_43 = 0
% 31.59/8.83 |
% 31.59/8.83 | Equations (314) can reduce 312 to:
% 31.59/8.83 | (266) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (321) ~ (all_104_0_43 = 0) & ssList(all_0_15_15) = all_104_0_43
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (321) yields:
% 31.59/8.83 | (312) ~ (all_104_0_43 = 0)
% 31.59/8.83 | (323) ssList(all_0_15_15) = all_104_0_43
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (52) with all_0_15_15, all_104_0_43, 0 and discharging atoms ssList(all_0_15_15) = all_104_0_43, ssList(all_0_15_15) = 0, yields:
% 31.59/8.83 | (314) all_104_0_43 = 0
% 31.59/8.83 |
% 31.59/8.83 | Equations (314) can reduce 312 to:
% 31.59/8.83 | (266) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (326) cons(all_0_10_10, nil) = nil
% 31.59/8.83 | (327) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_10_10) = v0)
% 31.59/8.83 |
% 31.59/8.83 | Instantiating (327) with all_64_0_46 yields:
% 31.59/8.83 | (328) ~ (all_64_0_46 = 0) & ssItem(all_0_10_10) = all_64_0_46
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (328) yields:
% 31.59/8.83 | (329) ~ (all_64_0_46 = 0)
% 31.59/8.83 | (330) ssItem(all_0_10_10) = all_64_0_46
% 31.59/8.83 |
% 31.59/8.83 +-Applying beta-rule and splitting (174), into two cases.
% 31.59/8.83 |-Branch one:
% 31.59/8.83 | (260) ~ (cons(all_0_10_10, nil) = nil)
% 31.59/8.83 |
% 31.59/8.83 | Using (326) and (260) yields:
% 31.59/8.83 | (270) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (326) cons(all_0_10_10, nil) = nil
% 31.59/8.83 | (334) ? [v0] : ? [v1] : (hd(nil) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 31.59/8.83 |
% 31.59/8.83 | Instantiating (334) with all_89_0_56, all_89_1_57 yields:
% 31.59/8.83 | (335) hd(nil) = all_89_0_56 & ssItem(all_0_10_10) = all_89_1_57 & ( ~ (all_89_1_57 = 0) | all_89_0_56 = all_0_10_10)
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (335) yields:
% 31.59/8.83 | (336) hd(nil) = all_89_0_56
% 31.59/8.83 | (337) ssItem(all_0_10_10) = all_89_1_57
% 31.59/8.83 | (338) ~ (all_89_1_57 = 0) | all_89_0_56 = all_0_10_10
% 31.59/8.83 |
% 31.59/8.83 +-Applying beta-rule and splitting (173), into two cases.
% 31.59/8.83 |-Branch one:
% 31.59/8.83 | (260) ~ (cons(all_0_10_10, nil) = nil)
% 31.59/8.83 |
% 31.59/8.83 | Using (326) and (260) yields:
% 31.59/8.83 | (270) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (326) cons(all_0_10_10, nil) = nil
% 31.59/8.83 | (342) ? [v0] : ? [v1] : (tl(nil) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 31.59/8.83 |
% 31.59/8.83 | Instantiating (342) with all_94_0_58, all_94_1_59 yields:
% 31.59/8.83 | (343) tl(nil) = all_94_0_58 & ssItem(all_0_10_10) = all_94_1_59 & ( ~ (all_94_1_59 = 0) | all_94_0_58 = nil)
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (343) yields:
% 31.59/8.83 | (344) tl(nil) = all_94_0_58
% 31.59/8.83 | (345) ssItem(all_0_10_10) = all_94_1_59
% 31.59/8.83 | (346) ~ (all_94_1_59 = 0) | all_94_0_58 = nil
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (18) with all_0_10_10, all_89_1_57, 0 and discharging atoms ssItem(all_0_10_10) = all_89_1_57, ssItem(all_0_10_10) = 0, yields:
% 31.59/8.83 | (347) all_89_1_57 = 0
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (18) with all_0_10_10, all_89_1_57, all_94_1_59 and discharging atoms ssItem(all_0_10_10) = all_94_1_59, ssItem(all_0_10_10) = all_89_1_57, yields:
% 31.59/8.83 | (348) all_94_1_59 = all_89_1_57
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (18) with all_0_10_10, all_64_0_46, all_94_1_59 and discharging atoms ssItem(all_0_10_10) = all_94_1_59, ssItem(all_0_10_10) = all_64_0_46, yields:
% 31.59/8.83 | (349) all_94_1_59 = all_64_0_46
% 31.59/8.83 |
% 31.59/8.83 | Combining equations (348,349) yields a new equation:
% 31.59/8.83 | (350) all_89_1_57 = all_64_0_46
% 31.59/8.83 |
% 31.59/8.83 | Simplifying 350 yields:
% 31.59/8.83 | (351) all_89_1_57 = all_64_0_46
% 31.59/8.83 |
% 31.59/8.83 | Combining equations (347,351) yields a new equation:
% 31.59/8.83 | (352) all_64_0_46 = 0
% 31.59/8.83 |
% 31.59/8.83 | Equations (352) can reduce 329 to:
% 31.59/8.83 | (266) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (354) all_0_13_13 = nil & all_0_15_15 = nil
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (354) yields:
% 31.59/8.83 | (355) all_0_13_13 = nil
% 31.59/8.83 | (290) all_0_15_15 = nil
% 31.59/8.83 |
% 31.59/8.83 | From (290) and (82) follows:
% 31.59/8.83 | (20) ssList(nil) = 0
% 31.59/8.83 |
% 31.59/8.83 | From (355) and (156) follows:
% 31.59/8.83 | (358) neq(nil, nil) = 0
% 31.59/8.83 |
% 31.59/8.83 | From (290) and (21) follows:
% 31.59/8.83 | (359) neq(nil, nil) = all_0_14_14
% 31.59/8.83 |
% 31.59/8.83 +-Applying beta-rule and splitting (150), into two cases.
% 31.59/8.83 |-Branch one:
% 31.59/8.83 | (360) ~ (neq(all_0_15_15, nil) = all_0_12_12)
% 31.59/8.83 |
% 31.59/8.83 | From (290)(154) and (360) follows:
% 31.59/8.83 | (361) ~ (neq(nil, nil) = 0)
% 31.59/8.83 |
% 31.59/8.83 | Using (358) and (361) yields:
% 31.59/8.83 | (270) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (363) neq(all_0_15_15, nil) = all_0_12_12
% 31.59/8.83 | (364) all_0_12_12 = all_0_14_14
% 31.59/8.83 |
% 31.59/8.83 | Combining equations (364,154) yields a new equation:
% 31.59/8.83 | (365) all_0_14_14 = 0
% 31.59/8.83 |
% 31.59/8.83 | Simplifying 365 yields:
% 31.59/8.83 | (298) all_0_14_14 = 0
% 31.59/8.83 |
% 31.59/8.83 | From (298) and (359) follows:
% 31.59/8.83 | (358) neq(nil, nil) = 0
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (14) with nil and discharging atoms ssList(nil) = 0, neq(nil, nil) = 0, yields:
% 31.59/8.83 | (270) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (369) all_0_13_13 = nil & ~ (all_0_15_15 = nil)
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (369) yields:
% 31.59/8.83 | (355) all_0_13_13 = nil
% 31.59/8.83 | (283) ~ (all_0_15_15 = nil)
% 31.59/8.83 |
% 31.59/8.83 | From (355) and (50) follows:
% 31.59/8.83 | (372) segmentP(nil, all_0_15_15) = all_0_11_11
% 31.59/8.83 |
% 31.59/8.83 | From (355) and (112) follows:
% 31.59/8.83 | (20) ssList(nil) = 0
% 31.59/8.83 |
% 31.59/8.83 +-Applying beta-rule and splitting (90), into two cases.
% 31.59/8.83 |-Branch one:
% 31.59/8.83 | (157) all_0_2_2 = all_0_13_13 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_15_15 & all_0_9_9 = 0 & ssList(all_0_4_4) = 0 & ssList(all_0_7_7) = 0 & cons(all_0_10_10, nil) = all_0_15_15 & app(all_0_5_5, all_0_4_4) = all_0_13_13 & app(all_0_7_7, all_0_15_15) = all_0_5_5 & ssItem(all_0_10_10) = 0 & ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) & ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (157) yields:
% 31.59/8.83 | (158) ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 31.59/8.83 | (159) cons(all_0_10_10, nil) = all_0_15_15
% 31.59/8.83 | (160) app(all_0_5_5, all_0_4_4) = all_0_13_13
% 31.59/8.83 | (161) all_0_2_2 = all_0_13_13
% 31.59/8.83 | (162) ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 31.59/8.83 | (163) all_0_6_6 = 0
% 31.59/8.83 | (164) all_0_8_8 = all_0_15_15
% 31.59/8.83 | (165) ssList(all_0_4_4) = 0
% 31.59/8.83 | (166) all_0_3_3 = 0
% 31.59/8.83 | (167) app(all_0_7_7, all_0_15_15) = all_0_5_5
% 31.59/8.83 | (168) ssItem(all_0_10_10) = 0
% 31.59/8.83 | (169) all_0_9_9 = 0
% 31.59/8.83 | (170) ssList(all_0_7_7) = 0
% 31.59/8.83 |
% 31.59/8.83 | From (355) and (160) follows:
% 31.59/8.83 | (388) app(all_0_5_5, all_0_4_4) = nil
% 31.59/8.83 |
% 31.59/8.83 +-Applying beta-rule and splitting (152), into two cases.
% 31.59/8.83 |-Branch one:
% 31.59/8.83 | (290) all_0_15_15 = nil
% 31.59/8.83 |
% 31.59/8.83 | Equations (290) can reduce 283 to:
% 31.59/8.83 | (266) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (283) ~ (all_0_15_15 = nil)
% 31.59/8.83 | (297) all_0_14_14 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 31.59/8.83 |
% 31.59/8.83 +-Applying beta-rule and splitting (151), into two cases.
% 31.59/8.83 |-Branch one:
% 31.59/8.83 | (290) all_0_15_15 = nil
% 31.59/8.83 |
% 31.59/8.83 | Equations (290) can reduce 283 to:
% 31.59/8.83 | (266) $false
% 31.59/8.83 |
% 31.59/8.83 |-The branch is then unsatisfiable
% 31.59/8.83 |-Branch two:
% 31.59/8.83 | (283) ~ (all_0_15_15 = nil)
% 31.59/8.83 | (293) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_15_15 & ssItem(v1) = 0)
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (85) with all_0_15_15 yields:
% 31.59/8.83 | (397) all_0_15_15 = nil | ~ (segmentP(nil, all_0_15_15) = 0) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_15_15) = v0)
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (119) with all_0_4_4, all_0_5_5, all_0_7_7, all_0_11_11, all_0_15_15, nil and discharging atoms segmentP(nil, all_0_15_15) = all_0_11_11, ssList(nil) = 0, app(all_0_5_5, all_0_4_4) = nil, app(all_0_7_7, all_0_15_15) = all_0_5_5, yields:
% 31.59/8.83 | (183) all_0_11_11 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | ( ~ (v0 = 0) & ssList(all_0_15_15) = v0))
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (109) with nil, all_0_4_4, all_0_5_5, all_0_15_15, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, app(all_0_5_5, all_0_4_4) = nil, app(all_0_7_7, all_0_15_15) = all_0_5_5, yields:
% 31.59/8.83 | (399) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_15_15) = v0) | (ssList(all_0_4_4) = v0 & app(all_0_7_7, v1) = v2 & app(all_0_15_15, all_0_4_4) = v1 & ( ~ (v0 = 0) | v2 = nil)))
% 31.59/8.83 |
% 31.59/8.83 | Instantiating formula (51) with all_0_5_5, all_0_15_15, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, app(all_0_7_7, all_0_15_15) = all_0_5_5, yields:
% 31.59/8.83 | (184) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssList(all_0_15_15) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 31.59/8.83 |
% 31.59/8.83 | Instantiating (184) with all_33_0_64, all_33_1_65 yields:
% 31.59/8.83 | (401) ssList(all_0_5_5) = all_33_0_64 & ssList(all_0_15_15) = all_33_1_65 & ( ~ (all_33_1_65 = 0) | all_33_0_64 = 0)
% 31.59/8.83 |
% 31.59/8.83 | Applying alpha-rule on (401) yields:
% 31.59/8.83 | (402) ssList(all_0_5_5) = all_33_0_64
% 31.59/8.83 | (403) ssList(all_0_15_15) = all_33_1_65
% 31.59/8.83 | (404) ~ (all_33_1_65 = 0) | all_33_0_64 = 0
% 31.59/8.83 |
% 31.59/8.83 | Instantiating (399) with all_35_0_66, all_35_1_67, all_35_2_68 yields:
% 31.59/8.83 | (405) ( ~ (all_35_2_68 = 0) & ssList(all_0_15_15) = all_35_2_68) | (ssList(all_0_4_4) = all_35_2_68 & app(all_0_7_7, all_35_1_67) = all_35_0_66 & app(all_0_15_15, all_0_4_4) = all_35_1_67 & ( ~ (all_35_2_68 = 0) | all_35_0_66 = nil))
% 31.59/8.84 |
% 31.59/8.84 | Instantiating formula (52) with all_0_15_15, all_33_1_65, 0 and discharging atoms ssList(all_0_15_15) = all_33_1_65, ssList(all_0_15_15) = 0, yields:
% 31.59/8.84 | (406) all_33_1_65 = 0
% 31.59/8.84 |
% 31.59/8.84 | From (406) and (403) follows:
% 31.59/8.84 | (82) ssList(all_0_15_15) = 0
% 31.59/8.84 |
% 31.59/8.84 +-Applying beta-rule and splitting (397), into two cases.
% 31.59/8.84 |-Branch one:
% 31.59/8.84 | (408) ~ (segmentP(nil, all_0_15_15) = 0)
% 31.59/8.84 |
% 31.59/8.84 +-Applying beta-rule and splitting (183), into two cases.
% 31.59/8.84 |-Branch one:
% 31.59/8.84 | (285) all_0_11_11 = 0
% 31.59/8.84 |
% 31.59/8.84 | From (285) and (372) follows:
% 31.59/8.84 | (410) segmentP(nil, all_0_15_15) = 0
% 31.59/8.84 |
% 31.59/8.84 | Using (410) and (408) yields:
% 31.59/8.84 | (270) $false
% 31.59/8.84 |
% 31.59/8.84 |-The branch is then unsatisfiable
% 31.59/8.84 |-Branch two:
% 31.59/8.84 | (286) ~ (all_0_11_11 = 0)
% 31.59/8.84 | (308) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | ( ~ (v0 = 0) & ssList(all_0_15_15) = v0))
% 31.59/8.84 |
% 31.59/8.84 | Instantiating (308) with all_125_0_109 yields:
% 31.59/8.84 | (414) ( ~ (all_125_0_109 = 0) & ssList(all_0_4_4) = all_125_0_109) | ( ~ (all_125_0_109 = 0) & ssList(all_0_7_7) = all_125_0_109) | ( ~ (all_125_0_109 = 0) & ssList(all_0_15_15) = all_125_0_109)
% 31.59/8.84 |
% 31.59/8.84 +-Applying beta-rule and splitting (414), into two cases.
% 31.59/8.84 |-Branch one:
% 31.59/8.84 | (415) ( ~ (all_125_0_109 = 0) & ssList(all_0_4_4) = all_125_0_109) | ( ~ (all_125_0_109 = 0) & ssList(all_0_7_7) = all_125_0_109)
% 31.59/8.84 |
% 31.59/8.84 +-Applying beta-rule and splitting (415), into two cases.
% 31.59/8.84 |-Branch one:
% 31.59/8.84 | (416) ~ (all_125_0_109 = 0) & ssList(all_0_4_4) = all_125_0_109
% 31.59/8.84 |
% 31.59/8.84 | Applying alpha-rule on (416) yields:
% 31.59/8.84 | (417) ~ (all_125_0_109 = 0)
% 31.59/8.84 | (418) ssList(all_0_4_4) = all_125_0_109
% 31.59/8.84 |
% 31.59/8.84 +-Applying beta-rule and splitting (405), into two cases.
% 31.59/8.84 |-Branch one:
% 31.59/8.84 | (419) ~ (all_35_2_68 = 0) & ssList(all_0_15_15) = all_35_2_68
% 31.59/8.84 |
% 31.59/8.84 | Applying alpha-rule on (419) yields:
% 31.59/8.84 | (420) ~ (all_35_2_68 = 0)
% 31.59/8.84 | (421) ssList(all_0_15_15) = all_35_2_68
% 31.59/8.84 |
% 31.59/8.84 | Instantiating formula (52) with all_0_15_15, all_35_2_68, 0 and discharging atoms ssList(all_0_15_15) = all_35_2_68, ssList(all_0_15_15) = 0, yields:
% 31.59/8.84 | (422) all_35_2_68 = 0
% 31.59/8.84 |
% 31.59/8.84 | Equations (422) can reduce 420 to:
% 31.59/8.84 | (266) $false
% 31.59/8.84 |
% 31.59/8.84 |-The branch is then unsatisfiable
% 31.59/8.84 |-Branch two:
% 31.59/8.84 | (424) ssList(all_0_4_4) = all_35_2_68 & app(all_0_7_7, all_35_1_67) = all_35_0_66 & app(all_0_15_15, all_0_4_4) = all_35_1_67 & ( ~ (all_35_2_68 = 0) | all_35_0_66 = nil)
% 31.59/8.84 |
% 31.59/8.84 | Applying alpha-rule on (424) yields:
% 31.59/8.84 | (425) ssList(all_0_4_4) = all_35_2_68
% 31.59/8.84 | (426) app(all_0_7_7, all_35_1_67) = all_35_0_66
% 31.59/8.84 | (427) app(all_0_15_15, all_0_4_4) = all_35_1_67
% 31.59/8.84 | (428) ~ (all_35_2_68 = 0) | all_35_0_66 = nil
% 31.59/8.84 |
% 31.59/8.84 | Instantiating formula (52) with all_0_4_4, all_125_0_109, 0 and discharging atoms ssList(all_0_4_4) = all_125_0_109, ssList(all_0_4_4) = 0, yields:
% 31.59/8.84 | (429) all_125_0_109 = 0
% 31.59/8.84 |
% 31.59/8.84 | Instantiating formula (52) with all_0_4_4, all_35_2_68, all_125_0_109 and discharging atoms ssList(all_0_4_4) = all_125_0_109, ssList(all_0_4_4) = all_35_2_68, yields:
% 31.59/8.84 | (430) all_125_0_109 = all_35_2_68
% 31.59/8.84 |
% 31.59/8.84 | Combining equations (429,430) yields a new equation:
% 31.59/8.84 | (422) all_35_2_68 = 0
% 31.59/8.84 |
% 31.59/8.84 | Combining equations (422,430) yields a new equation:
% 31.59/8.84 | (429) all_125_0_109 = 0
% 31.59/8.84 |
% 31.59/8.84 | Equations (429) can reduce 417 to:
% 31.59/8.84 | (266) $false
% 31.59/8.84 |
% 31.59/8.84 |-The branch is then unsatisfiable
% 31.59/8.84 |-Branch two:
% 31.59/8.84 | (434) ~ (all_125_0_109 = 0) & ssList(all_0_7_7) = all_125_0_109
% 31.59/8.84 |
% 31.59/8.84 | Applying alpha-rule on (434) yields:
% 31.59/8.84 | (417) ~ (all_125_0_109 = 0)
% 31.59/8.84 | (436) ssList(all_0_7_7) = all_125_0_109
% 31.59/8.84 |
% 31.59/8.84 | Instantiating formula (52) with all_0_7_7, all_125_0_109, 0 and discharging atoms ssList(all_0_7_7) = all_125_0_109, ssList(all_0_7_7) = 0, yields:
% 31.59/8.84 | (429) all_125_0_109 = 0
% 31.59/8.84 |
% 31.59/8.84 | Equations (429) can reduce 417 to:
% 31.59/8.84 | (266) $false
% 31.59/8.84 |
% 31.59/8.84 |-The branch is then unsatisfiable
% 31.59/8.84 |-Branch two:
% 31.59/8.84 | (439) ~ (all_125_0_109 = 0) & ssList(all_0_15_15) = all_125_0_109
% 31.59/8.84 |
% 31.59/8.84 | Applying alpha-rule on (439) yields:
% 31.59/8.84 | (417) ~ (all_125_0_109 = 0)
% 31.59/8.84 | (441) ssList(all_0_15_15) = all_125_0_109
% 31.59/8.84 |
% 31.59/8.84 | Instantiating formula (52) with all_0_15_15, all_125_0_109, 0 and discharging atoms ssList(all_0_15_15) = all_125_0_109, ssList(all_0_15_15) = 0, yields:
% 31.59/8.84 | (429) all_125_0_109 = 0
% 31.59/8.84 |
% 31.59/8.84 | Equations (429) can reduce 417 to:
% 31.59/8.84 | (266) $false
% 31.59/8.84 |
% 31.59/8.84 |-The branch is then unsatisfiable
% 31.59/8.84 |-Branch two:
% 31.59/8.84 | (410) segmentP(nil, all_0_15_15) = 0
% 31.59/8.84 | (445) all_0_15_15 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_15_15) = v0)
% 31.59/8.84 |
% 31.59/8.84 +-Applying beta-rule and splitting (445), into two cases.
% 31.59/8.84 |-Branch one:
% 31.59/8.84 | (290) all_0_15_15 = nil
% 31.59/8.84 |
% 31.59/8.84 | Equations (290) can reduce 283 to:
% 31.59/8.84 | (266) $false
% 31.59/8.84 |
% 31.59/8.84 |-The branch is then unsatisfiable
% 31.59/8.84 |-Branch two:
% 31.59/8.84 | (283) ~ (all_0_15_15 = nil)
% 31.59/8.84 | (449) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_15_15) = v0)
% 31.59/8.84 |
% 31.59/8.84 | Instantiating (449) with all_117_0_146 yields:
% 31.59/8.84 | (450) ~ (all_117_0_146 = 0) & ssList(all_0_15_15) = all_117_0_146
% 31.59/8.84 |
% 31.59/8.84 | Applying alpha-rule on (450) yields:
% 31.59/8.84 | (451) ~ (all_117_0_146 = 0)
% 31.59/8.84 | (452) ssList(all_0_15_15) = all_117_0_146
% 31.59/8.84 |
% 31.59/8.84 | Instantiating formula (52) with all_0_15_15, all_117_0_146, 0 and discharging atoms ssList(all_0_15_15) = all_117_0_146, ssList(all_0_15_15) = 0, yields:
% 31.59/8.84 | (453) all_117_0_146 = 0
% 31.59/8.84 |
% 31.59/8.84 | Equations (453) can reduce 451 to:
% 31.59/8.84 | (266) $false
% 31.59/8.84 |
% 31.59/8.84 |-The branch is then unsatisfiable
% 31.59/8.84 |-Branch two:
% 31.59/8.84 | (354) all_0_13_13 = nil & all_0_15_15 = nil
% 31.59/8.84 |
% 31.59/8.84 | Applying alpha-rule on (354) yields:
% 31.59/8.84 | (355) all_0_13_13 = nil
% 31.59/8.84 | (290) all_0_15_15 = nil
% 31.59/8.84 |
% 31.59/8.84 | Equations (290) can reduce 283 to:
% 31.59/8.84 | (266) $false
% 31.59/8.84 |
% 31.59/8.84 |-The branch is then unsatisfiable
% 31.59/8.84 % SZS output end Proof for theBenchmark
% 31.59/8.84
% 31.59/8.84 8321ms
%------------------------------------------------------------------------------