TSTP Solution File: SWC346+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC346+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:17:36 EDT 2022
% Result : Theorem 20.89s 6.42s
% Output : Proof 24.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC346+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 12 01:56:34 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.42/0.62 ____ _
% 0.42/0.62 ___ / __ \_____(_)___ ________ __________
% 0.42/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.42/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.42/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.42/0.62
% 0.42/0.62 A Theorem Prover for First-Order Logic
% 0.42/0.62 (ePrincess v.1.0)
% 0.42/0.62
% 0.42/0.62 (c) Philipp Rümmer, 2009-2015
% 0.42/0.62 (c) Peter Backeman, 2014-2015
% 0.42/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.42/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.42/0.62 Bug reports to peter@backeman.se
% 0.42/0.62
% 0.42/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.42/0.62
% 0.42/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.41/1.08 Prover 0: Preprocessing ...
% 4.77/1.68 Prover 0: Constructing countermodel ...
% 19.20/5.96 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.58/6.07 Prover 1: Preprocessing ...
% 20.65/6.29 Prover 1: Constructing countermodel ...
% 20.89/6.41 Prover 1: proved (451ms)
% 20.89/6.42 Prover 0: stopped
% 20.89/6.42
% 20.89/6.42 No countermodel exists, formula is valid
% 20.89/6.42 % SZS status Theorem for theBenchmark
% 20.89/6.42
% 20.89/6.42 Generating proof ... found it (size 123)
% 23.77/7.01
% 23.77/7.01 % SZS output start Proof for theBenchmark
% 23.77/7.01 Assumed formulas after preprocessing and simplification:
% 23.77/7.01 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = v14) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(v1) = v2 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & segmentP(v3, v1) = v4 & singletonP(nil) = v0 & ssList(v3) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & ssItem(v15) = 0 & ssItem(v14) = 0 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | ~ (strictorderedP(v16) = 0) | ~ (lt(v17, v18) = v19) | ~ (ssList(v20) = 0) | ~ (cons(v18, v24) = v25) | ~ (cons(v17, v21) = v22) | ~ (app(v23, v25) = v16) | ~ (app(v20, v22) = v23) | ~ (ssItem(v17) = 0) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26) | ( ~ (v26 = 0) & ssList(v16) = v26) | ( ~ (v26 = 0) & ssItem(v18) = v26))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | ~ (totalorderedP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssList(v20) = 0) | ~ (cons(v18, v24) = v25) | ~ (cons(v17, v21) = v22) | ~ (app(v23, v25) = v16) | ~ (app(v20, v22) = v23) | ~ (ssItem(v17) = 0) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26) | ( ~ (v26 = 0) & ssList(v16) = v26) | ( ~ (v26 = 0) & ssItem(v18) = v26))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (duplicatefreeP(v16) = 0) | ~ (ssList(v18) = 0) | ~ (cons(v17, v22) = v23) | ~ (cons(v17, v19) = v20) | ~ (app(v21, v23) = v16) | ~ (app(v18, v20) = v21) | ~ (ssItem(v17) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v16) = v24))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (segmentP(v21, v17) = v22) | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v19, v20) = v21) | ~ (app(v18, v16) = v19) | ? [v23] : (( ~ (v23 = 0) & ssList(v20) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23) | ( ~ (v23 = 0) & ssList(v17) = v23))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v18 = v17 | ~ (equalelemsP(v16) = 0) | ~ (ssList(v19) = 0) | ~ (cons(v18, v20) = v21) | ~ (cons(v17, v21) = v22) | ~ (app(v19, v22) = v16) | ~ (ssItem(v18) = 0) | ~ (ssItem(v17) = 0) | ? [v23] : (( ~ (v23 = 0) & ssList(v20) = v23) | ( ~ (v23 = 0) & ssList(v16) = v23))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (frontsegP(v19, v21) = v22) | ~ (cons(v17, v20) = v21) | ~ (cons(v16, v18) = v19) | ~ (ssItem(v17) = 0) | ~ (ssItem(v16) = 0) | ? [v23] : ? [v24] : (( ~ (v23 = 0) & ssList(v18) = v23) | (frontsegP(v18, v20) = v24 & ssList(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | ~ (v17 = v16) | v22 = 0) & ( ~ (v22 = 0) | (v24 = 0 & v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = 0 | ~ (segmentP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v20, v21) = v16) | ~ (app(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssList(v21) = v22) | ( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = 0 | ~ (memberP(v16, v17) = v18) | ~ (ssList(v19) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v17, v20) = v21) | ~ (app(v19, v21) = v16) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssItem(v17) = v22))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (memberP(v20, v16) = v21) | ~ (memberP(v17, v16) = v18) | ~ (app(v17, v19) = v20) | ~ (ssItem(v16) = 0) | ? [v22] : ? [v23] : (( ~ (v22 = 0) & ssList(v17) = v22) | (memberP(v19, v16) = v23 & ssList(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) | v23 = 0 | v18 = 0) & (v21 = 0 | ( ~ (v23 = 0) & ~ (v18 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (ssList(v17) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v20, v17) = v19) | ~ (cons(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssItem(v20) = v21) | ( ~ (v21 = 0) & ssItem(v18) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (rearsegP(v19, v17) = v20) | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v17) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (frontsegP(v19, v17) = v20) | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v16, v18) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v17) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | ~ (ssList(v17) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v20, v17) = v19) | ~ (cons(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssItem(v20) = v21) | ( ~ (v21 = 0) & ssItem(v18) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (memberP(v19, v16) = v20) | ~ (cons(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ~ (ssItem(v16) = 0) | ? [v21] : ? [v22] : (memberP(v18, v16) = v22 & ssList(v18) = v21 & ( ~ (v21 = 0) | (( ~ (v20 = 0) | v22 = 0 | v17 = v16) & (v20 = 0 | ( ~ (v22 = 0) & ~ (v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (ssList(v16) = 0) | ~ (cons(v19, v18) = v20) | ~ (app(v17, v16) = v18) | ? [v21] : ? [v22] : ? [v23] : (( ~ (v21 = 0) & ssList(v17) = v21) | (cons(v19, v17) = v22 & app(v22, v16) = v23 & ssItem(v19) = v21 & ( ~ (v21 = 0) | v23 = v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (ssList(v16) = 0) | ~ (app(v18, v19) = v20) | ~ (app(v16, v17) = v18) | ? [v21] : ? [v22] : ? [v23] : (( ~ (v21 = 0) & ssList(v17) = v21) | (ssList(v19) = v21 & app(v17, v19) = v22 & app(v16, v22) = v23 & ( ~ (v21 = 0) | v23 = v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | v16 = nil | ~ (tl(v16) = v18) | ~ (hd(v16) = v17) | ~ (cons(v17, v18) = v19) | ? [v20] : ( ~ (v20 = 0) & ssList(v16) = v20)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | ~ (ssList(v16) = 0) | ~ (app(v19, v17) = v18) | ~ (app(v16, v17) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | ~ (ssList(v16) = 0) | ~ (app(v17, v19) = v18) | ~ (app(v17, v16) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (gt(v16, v18) = v19) | ~ (gt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (gt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (geq(v16, v18) = v19) | ~ (geq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (geq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (lt(v16, v18) = v19) | ~ (lt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (lt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (lt(v16, v18) = v19) | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (lt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (leq(v16, v18) = v19) | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (leq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (segmentP(v16, v18) = v19) | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (segmentP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (rearsegP(v16, v18) = v19) | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (rearsegP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (frontsegP(v16, v18) = v19) | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (frontsegP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (rearsegP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v19, v17) = v16) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (frontsegP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v17, v19) = v16) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (gt(v19, v18) = v17) | ~ (gt(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (geq(v19, v18) = v17) | ~ (geq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (lt(v19, v18) = v17) | ~ (lt(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (leq(v19, v18) = v17) | ~ (leq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (segmentP(v19, v18) = v17) | ~ (segmentP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (rearsegP(v19, v18) = v17) | ~ (rearsegP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (frontsegP(v19, v18) = v17) | ~ (frontsegP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (memberP(v19, v18) = v17) | ~ (memberP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (cons(v19, v18) = v17) | ~ (cons(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (app(v19, v18) = v17) | ~ (app(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (neq(v19, v18) = v17) | ~ (neq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = nil | ~ (tl(v16) = v17) | ~ (app(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (( ~ (v20 = 0) & ssList(v16) = v20) | (tl(v21) = v22 & ssList(v18) = v20 & app(v16, v18) = v21 & ( ~ (v20 = 0) | v22 = v19)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = nil | ~ (hd(v16) = v17) | ~ (app(v16, v18) = v19) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (hd(v19) = v21 & ssList(v18) = v20 & ( ~ (v20 = 0) | v21 = v17)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (hd(v17) = v18) | ~ (lt(v16, v18) = v19) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (strictorderedP(v21) = v22 & strictorderedP(v17) = v23 & ssList(v17) = v20 & cons(v16, v17) = v21 & ( ~ (v20 = 0) | (( ~ (v22 = 0) | v17 = nil | (v23 = 0 & v19 = 0)) & (v22 = 0 | ( ~ (v17 = nil) & ( ~ (v23 = 0) | ~ (v19 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (hd(v17) = v18) | ~ (leq(v16, v18) = v19) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (totalorderedP(v21) = v22 & totalorderedP(v17) = v23 & ssList(v17) = v20 & cons(v16, v17) = v21 & ( ~ (v20 = 0) | (( ~ (v22 = 0) | v17 = nil | (v23 = 0 & v19 = 0)) & (v22 = 0 | ( ~ (v17 = nil) & ( ~ (v23 = 0) | ~ (v19 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (strictorderP(v16) = 0) | ~ (lt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (lt(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v21 = 0 | v19 = 0 | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (totalorderP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (leq(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v21 = 0 | v19 = 0 | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (cyclefreeP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (leq(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (v21 = 0) | ~ (v19 = 0) | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, nil) = v18) | ~ (app(v18, v16) = v19) | ? [v20] : ? [v21] : (cons(v17, v16) = v21 & ssItem(v17) = v20 & ( ~ (v20 = 0) | v21 = v19))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (lt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (ssList(v16) = 0) | ~ (neq(v16, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (neq(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ( ~ (v19 = 0) & ssItem(v17) = v19)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (tl(v18) = v17) | ~ (tl(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (hd(v18) = v17) | ~ (hd(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (equalelemsP(v18) = v17) | ~ (equalelemsP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (duplicatefreeP(v18) = v17) | ~ (duplicatefreeP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (strictorderedP(v18) = v17) | ~ (strictorderedP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (totalorderedP(v18) = v17) | ~ (totalorderedP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (strictorderP(v18) = v17) | ~ (strictorderP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (totalorderP(v18) = v17) | ~ (totalorderP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (cyclefreeP(v18) = v17) | ~ (cyclefreeP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (singletonP(v18) = v17) | ~ (singletonP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (ssList(v18) = v17) | ~ (ssList(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (ssItem(v18) = v17) | ~ (ssItem(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (singletonP(v16) = v17) | ~ (cons(v18, nil) = v16) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssItem(v18) = v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (gt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (lt(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0) & ( ~ (v18 = 0) | v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (geq(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0) & ( ~ (v18 = 0) | v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (lt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0 | v17 = v16) & ( ~ (v18 = 0) | (v20 = 0 & ~ (v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (tl(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = v16))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (hd(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = v17))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (ssList(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (app(v16, v17) = v18) | ? [v19] : ? [v20] : (ssList(v18) = v20 & ssList(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (geq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (geq(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (leq(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (segmentP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (rearsegP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (frontsegP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (app(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = v16 | ~ (app(nil, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = nil | ~ (ssList(v16) = 0) | ~ (app(v16, v17) = nil) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (geq(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssItem(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (equalelemsP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v16 & v25 = 0 & v23 = 0 & v21 = 0 & v19 = 0 & ~ (v20 = v18) & ssList(v24) = 0 & ssList(v22) = 0 & cons(v20, v24) = v26 & cons(v18, v26) = v27 & app(v22, v27) = v16 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (duplicatefreeP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v16 & v29 = 0 & v25 = 0 & v23 = 0 & v21 = 0 & v20 = v18 & v19 = 0 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v18, v24) = v26 & app(v27, v30) = v16 & app(v22, v26) = v27 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (strictorderedP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v16 & v30 = 0 & v26 = 0 & v24 = 0 & v21 = 0 & v19 = 0 & ~ (v22 = 0) & lt(v18, v20) = v22 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v20, v29) = v31 & cons(v18, v25) = v27 & app(v28, v31) = v16 & app(v23, v27) = v28 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (totalorderedP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v16 & v30 = 0 & v26 = 0 & v24 = 0 & v21 = 0 & v19 = 0 & ~ (v22 = 0) & leq(v18, v20) = v22 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v20, v29) = v31 & cons(v18, v25) = v27 & app(v28, v31) = v16 & app(v23, v27) = v28 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (strictorderP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v21 = 0 & v19 = 0 & ~ (v23 = 0) & ~ (v22 = 0) & lt(v20, v18) = v23 & lt(v18, v20) = v22 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (totalorderP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v21 = 0 & v19 = 0 & ~ (v23 = 0) & ~ (v22 = 0) & leq(v20, v18) = v23 & leq(v18, v20) = v22 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (cyclefreeP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & v19 = 0 & leq(v20, v18) = 0 & leq(v18, v20) = 0 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (leq(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssItem(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v16 = nil | ~ (tl(v16) = v17) | ? [v18] : ? [v19] : (ssList(v17) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : (v16 = nil | ~ (tl(v16) = v17) | ? [v18] : ? [v19] : ((v19 = 0 & v18 = v17 & ssList(v17) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v16 = nil | ~ (hd(v16) = v17) | ? [v18] : ? [v19] : (ssList(v16) = v18 & ssItem(v17) = v19 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : (v16 = nil | ~ (hd(v16) = v17) | ? [v18] : ? [v19] : ((v19 = 0 & v18 = v17 & ssItem(v17) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v16 = nil | ~ (ssList(v16) = 0) | ~ (app(v16, v17) = nil) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (gt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (gt(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : ( ~ (tl(v16) = v17) | ? [v18] : ? [v19] : (hd(v16) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : (v20 = v16 | v20 = nil | v16 = nil | ~ (tl(v20) = v17) | ? [v21] : ? [v22] : (hd(v20) = v22 & ssList(v20) = v21 & ( ~ (v22 = v19) | ~ (v21 = 0))))))) & ! [v16] : ! [v17] : ( ~ (lt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (lt(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : ( ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v16 & v22 = 0 & v19 = 0 & ssList(v21) = 0 & ssList(v18) = 0 & app(v20, v21) = v16 & app(v18, v17) = v20) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = v16 & v19 = 0 & ssList(v18) = 0 & app(v18, v17) = v16) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = v16 & v19 = 0 & ssList(v18) = 0 & app(v17, v18) = v16) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (memberP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v16 & v21 = 0 & v19 = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v17, v20) = v22 & app(v18, v22) = v16) | ( ~ (v18 = 0) & ssItem(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v16) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = nil) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (equalelemsP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (duplicatefreeP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (strictorderedP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (totalorderedP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (strictorderP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (totalorderP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (cyclefreeP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : (v16 = nil | ~ (segmentP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (rearsegP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (frontsegP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (ssList(v16) = 0) | ? [v17] : ? [v18] : (ssList(v17) = 0 & cons(v18, v17) = v16 & ssItem(v18) = 0)) & ! [v16] : (v16 = nil | ~ (app(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (segmentP(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (rearsegP(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (frontsegP(nil, nil) = v16)) & ! [v16] : ( ~ (lt(v16, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssItem(v16) = v17)) & ! [v16] : ( ~ (singletonP(v16) = 0) | ? [v17] : ? [v18] : ? [v19] : ((v19 = v16 & v18 = 0 & cons(v17, nil) = v16 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v16) = v17))) & ! [v16] : ( ~ (memberP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssItem(v16) = v17)) & ! [v16] : ( ~ (ssList(v16) = 0) | ~ (neq(v16, v16) = 0)) & ! [v16] : ( ~ (neq(v16, v16) = 0) | ~ (ssItem(v16) = 0)) & ( ~ (v4 = 0) | ~ (v2 = 0)) & ((v13 = v3 & v12 = 0 & v9 = 0 & v7 = v1 & v6 = 0 & ssList(v11) = 0 & ssList(v8) = 0 & cons(v5, nil) = v1 & app(v10, v11) = v3 & app(v8, v1) = v10 & ssItem(v5) = 0 & ! [v16] : ( ~ (memberP(v11, v16) = 0) | ? [v17] : ? [v18] : (lt(v16, v5) = v18 & ssItem(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v16] : ( ~ (memberP(v8, v16) = 0) | ? [v17] : ? [v18] : (lt(v5, v16) = v18 & ssItem(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) | (v3 = nil & v1 = nil)))
% 23.95/7.09 | 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 yields:
% 23.95/7.09 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_15_15 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(all_0_14_14) = all_0_13_13 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & segmentP(all_0_12_12, all_0_14_14) = all_0_11_11 & singletonP(nil) = all_0_15_15 & ssList(all_0_12_12) = 0 & ssList(all_0_14_14) = 0 & ssList(nil) = 0 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (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_11_11 = 0) | ~ (all_0_13_13 = 0)) & ((all_0_2_2 = all_0_12_12 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_14_14 & 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_14_14 & app(all_0_5_5, all_0_4_4) = all_0_12_12 & app(all_0_7_7, all_0_14_14) = 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_12_12 = nil & all_0_14_14 = nil))
% 24.39/7.12 |
% 24.39/7.12 | Applying alpha-rule on (1) yields:
% 24.39/7.12 | (2) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 24.39/7.12 | (3) ! [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)))))))
% 24.39/7.12 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 24.39/7.12 | (5) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.39/7.12 | (6) ! [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)))))))
% 24.39/7.12 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 24.39/7.12 | (8) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.39/7.12 | (9) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 24.39/7.12 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 24.39/7.12 | (11) ssItem(all_0_0_0) = 0
% 24.39/7.12 | (12) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.12 | (13) ~ (all_0_11_11 = 0) | ~ (all_0_13_13 = 0)
% 24.39/7.12 | (14) ! [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)))
% 24.39/7.12 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 24.39/7.12 | (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)))
% 24.39/7.12 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 24.39/7.12 | (18) equalelemsP(nil) = 0
% 24.39/7.12 | (19) ! [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))))
% 24.39/7.12 | (20) ! [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)))))
% 24.39/7.12 | (21) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 24.39/7.12 | (22) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.12 | (23) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.39/7.12 | (24) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 24.39/7.12 | (25) ! [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)))
% 24.39/7.12 | (26) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.39/7.12 | (27) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.12 | (28) ! [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)))
% 24.39/7.12 | (29) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 24.39/7.12 | (30) ! [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)))
% 24.39/7.12 | (31) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.39/7.12 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 24.39/7.12 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 24.39/7.13 | (34) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.39/7.13 | (35) ! [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)))
% 24.39/7.13 | (36) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 24.39/7.13 | (37) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.13 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 24.39/7.13 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 24.39/7.13 | (40) duplicatefreeP(nil) = 0
% 24.39/7.13 | (41) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 24.39/7.13 | (42) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.39/7.13 | (43) ! [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)))
% 24.39/7.13 | (44) ! [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)))
% 24.39/7.13 | (45) ! [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)))
% 24.39/7.13 | (46) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.39/7.13 | (47) segmentP(all_0_12_12, all_0_14_14) = all_0_11_11
% 24.39/7.13 | (48) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 24.39/7.13 | (49) ! [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))))))))
% 24.39/7.13 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 24.39/7.13 | (51) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.13 | (52) ! [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)))
% 24.39/7.13 | (53) ~ (all_0_15_15 = 0)
% 24.39/7.13 | (54) ! [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)))))
% 24.39/7.13 | (55) ! [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)))))
% 24.39/7.13 | (56) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 24.39/7.13 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 24.39/7.13 | (58) ssList(nil) = 0
% 24.39/7.13 | (59) ! [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)))
% 24.39/7.13 | (60) ! [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)))))))
% 24.39/7.13 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 24.39/7.13 | (62) ! [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))))))))
% 24.39/7.13 | (63) ! [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)))
% 24.39/7.13 | (64) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.39/7.13 | (65) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.39/7.13 | (66) totalorderedP(nil) = 0
% 24.39/7.13 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 24.39/7.13 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 24.39/7.14 | (69) ! [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)))))
% 24.39/7.14 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 24.39/7.14 | (71) ! [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))))))))
% 24.39/7.14 | (72) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 24.39/7.14 | (73) ! [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)))))))
% 24.39/7.14 | (74) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.39/7.14 | (75) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 24.39/7.14 | (76) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 24.39/7.14 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 24.39/7.14 | (78) ! [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)))))))
% 24.39/7.14 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 24.39/7.14 | (80) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.39/7.14 | (81) singletonP(nil) = all_0_15_15
% 24.39/7.14 | (82) ssList(all_0_12_12) = 0
% 24.39/7.14 | (83) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 24.39/7.14 | (84) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.14 | (85) strictorderedP(all_0_14_14) = all_0_13_13
% 24.39/7.14 | (86) totalorderP(nil) = 0
% 24.39/7.14 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 24.39/7.14 | (88) ! [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))))
% 24.39/7.14 | (89) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 24.39/7.14 | (90) ! [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)))
% 24.39/7.14 | (91) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.39/7.14 | (92) ! [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)))))))
% 24.39/7.14 | (93) ! [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))))
% 24.39/7.14 | (94) ! [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)))
% 24.39/7.14 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 24.39/7.14 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 24.39/7.14 | (97) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.39/7.14 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 24.39/7.14 | (99) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 24.39/7.14 | (100) ! [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)))
% 24.39/7.14 | (101) ! [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)))
% 24.39/7.14 | (102) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 24.39/7.14 | (103) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 24.39/7.14 | (104) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.39/7.14 | (105) cyclefreeP(nil) = 0
% 24.39/7.14 | (106) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.39/7.14 | (107) ! [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)))
% 24.39/7.14 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 24.39/7.15 | (109) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 24.39/7.15 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 24.39/7.15 | (111) strictorderedP(nil) = 0
% 24.39/7.15 | (112) (all_0_2_2 = all_0_12_12 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_14_14 & 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_14_14 & app(all_0_5_5, all_0_4_4) = all_0_12_12 & app(all_0_7_7, all_0_14_14) = 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_12_12 = nil & all_0_14_14 = nil)
% 24.39/7.15 | (113) ! [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)))
% 24.39/7.15 | (114) ! [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)))))
% 24.39/7.15 | (115) strictorderP(nil) = 0
% 24.39/7.15 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 24.39/7.15 | (117) ! [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)))
% 24.39/7.15 | (118) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 24.39/7.15 | (119) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.39/7.15 | (120) ! [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)))))))
% 24.39/7.15 | (121) ! [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)))))
% 24.39/7.15 | (122) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 24.39/7.15 | (123) ! [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)))))
% 24.39/7.15 | (124) ! [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))))
% 24.39/7.15 | (125) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 24.39/7.15 | (126) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.15 | (127) ! [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)))
% 24.39/7.15 | (128) ! [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)))))
% 24.39/7.15 | (129) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 24.39/7.15 | (130) ssItem(all_0_1_1) = 0
% 24.39/7.15 | (131) ! [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)))
% 24.39/7.15 | (132) ! [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)))
% 24.39/7.15 | (133) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.15 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.39/7.15 | (135) ! [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)))
% 24.39/7.15 | (136) ! [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)))
% 24.39/7.15 | (137) ! [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)))
% 24.39/7.15 | (138) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.39/7.15 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 24.39/7.15 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 24.39/7.15 | (141) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 24.39/7.15 | (142) ! [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))))
% 24.39/7.15 | (143) ssList(all_0_14_14) = 0
% 24.39/7.15 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 24.39/7.15 | (145) ! [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)))
% 24.39/7.16 | (146) ~ (all_0_0_0 = all_0_1_1)
% 24.39/7.16 | (147) ! [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)))
% 24.39/7.16 | (148) ! [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)))))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (57) with nil, 0, all_0_13_13 and discharging atoms strictorderedP(nil) = 0, yields:
% 24.39/7.16 | (149) all_0_13_13 = 0 | ~ (strictorderedP(nil) = all_0_13_13)
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (65) with all_0_11_11, all_0_14_14 yields:
% 24.39/7.16 | (150) all_0_11_11 = 0 | ~ (segmentP(all_0_14_14, all_0_14_14) = all_0_11_11) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_14_14) = v0)
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (104) with all_0_11_11, all_0_12_12 yields:
% 24.39/7.16 | (151) all_0_11_11 = 0 | ~ (segmentP(all_0_12_12, nil) = all_0_11_11) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_12_12) = v0)
% 24.39/7.16 |
% 24.39/7.16 +-Applying beta-rule and splitting (112), into two cases.
% 24.39/7.16 |-Branch one:
% 24.39/7.16 | (152) all_0_2_2 = all_0_12_12 & all_0_3_3 = 0 & all_0_6_6 = 0 & all_0_8_8 = all_0_14_14 & 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_14_14 & app(all_0_5_5, all_0_4_4) = all_0_12_12 & app(all_0_7_7, all_0_14_14) = 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))))
% 24.39/7.16 |
% 24.39/7.16 | Applying alpha-rule on (152) yields:
% 24.39/7.16 | (153) ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 24.39/7.16 | (154) all_0_3_3 = 0
% 24.39/7.16 | (155) ssItem(all_0_10_10) = 0
% 24.39/7.16 | (156) cons(all_0_10_10, nil) = all_0_14_14
% 24.39/7.16 | (157) all_0_8_8 = all_0_14_14
% 24.39/7.16 | (158) app(all_0_7_7, all_0_14_14) = all_0_5_5
% 24.39/7.16 | (159) all_0_6_6 = 0
% 24.39/7.16 | (160) all_0_9_9 = 0
% 24.39/7.16 | (161) ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 24.39/7.16 | (162) ssList(all_0_7_7) = 0
% 24.39/7.16 | (163) ssList(all_0_4_4) = 0
% 24.39/7.16 | (164) all_0_2_2 = all_0_12_12
% 24.39/7.16 | (165) app(all_0_5_5, all_0_4_4) = all_0_12_12
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (77) with all_0_14_14, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (166) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (7) with all_0_14_14, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (167) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (51) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (168) ? [v0] : ? [v1] : (equalelemsP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (27) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (169) ? [v0] : ? [v1] : (duplicatefreeP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (22) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (170) ? [v0] : ? [v1] : (strictorderedP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (133) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (171) ? [v0] : ? [v1] : (totalorderedP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (138) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (172) ? [v0] : ? [v1] : (strictorderP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (12) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (173) ? [v0] : ? [v1] : (totalorderP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (84) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 24.39/7.16 | (174) ? [v0] : ? [v1] : (cyclefreeP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (132) with all_0_4_4, all_0_5_5, all_0_7_7, all_0_11_11, all_0_14_14, all_0_12_12 and discharging atoms segmentP(all_0_12_12, all_0_14_14) = all_0_11_11, ssList(all_0_12_12) = 0, app(all_0_5_5, all_0_4_4) = all_0_12_12, app(all_0_7_7, all_0_14_14) = all_0_5_5, yields:
% 24.39/7.16 | (175) 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_14_14) = v0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating formula (95) with all_0_5_5, all_0_14_14, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, app(all_0_7_7, all_0_14_14) = all_0_5_5, yields:
% 24.39/7.16 | (176) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssList(all_0_14_14) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.39/7.16 |
% 24.39/7.16 | Instantiating (174) with all_17_0_19, all_17_1_20 yields:
% 24.39/7.16 | (177) cyclefreeP(all_0_14_14) = all_17_0_19 & ssItem(all_0_10_10) = all_17_1_20 & ( ~ (all_17_1_20 = 0) | all_17_0_19 = 0)
% 24.39/7.16 |
% 24.39/7.16 | Applying alpha-rule on (177) yields:
% 24.39/7.16 | (178) cyclefreeP(all_0_14_14) = all_17_0_19
% 24.39/7.16 | (179) ssItem(all_0_10_10) = all_17_1_20
% 24.39/7.16 | (180) ~ (all_17_1_20 = 0) | all_17_0_19 = 0
% 24.39/7.16 |
% 24.39/7.16 | Instantiating (173) with all_19_0_21, all_19_1_22 yields:
% 24.39/7.16 | (181) totalorderP(all_0_14_14) = all_19_0_21 & ssItem(all_0_10_10) = all_19_1_22 & ( ~ (all_19_1_22 = 0) | all_19_0_21 = 0)
% 24.39/7.16 |
% 24.39/7.16 | Applying alpha-rule on (181) yields:
% 24.39/7.16 | (182) totalorderP(all_0_14_14) = all_19_0_21
% 24.39/7.16 | (183) ssItem(all_0_10_10) = all_19_1_22
% 24.39/7.16 | (184) ~ (all_19_1_22 = 0) | all_19_0_21 = 0
% 24.39/7.16 |
% 24.39/7.16 | Instantiating (168) with all_21_0_23, all_21_1_24 yields:
% 24.39/7.16 | (185) equalelemsP(all_0_14_14) = all_21_0_23 & ssItem(all_0_10_10) = all_21_1_24 & ( ~ (all_21_1_24 = 0) | all_21_0_23 = 0)
% 24.39/7.16 |
% 24.39/7.16 | Applying alpha-rule on (185) yields:
% 24.39/7.16 | (186) equalelemsP(all_0_14_14) = all_21_0_23
% 24.39/7.16 | (187) ssItem(all_0_10_10) = all_21_1_24
% 24.39/7.16 | (188) ~ (all_21_1_24 = 0) | all_21_0_23 = 0
% 24.39/7.16 |
% 24.39/7.16 | Instantiating (167) with all_23_0_25, all_23_1_26 yields:
% 24.39/7.16 | (189) hd(all_0_14_14) = all_23_0_25 & ssItem(all_0_10_10) = all_23_1_26 & ( ~ (all_23_1_26 = 0) | all_23_0_25 = all_0_10_10)
% 24.39/7.16 |
% 24.39/7.16 | Applying alpha-rule on (189) yields:
% 24.39/7.16 | (190) hd(all_0_14_14) = all_23_0_25
% 24.39/7.16 | (191) ssItem(all_0_10_10) = all_23_1_26
% 24.39/7.16 | (192) ~ (all_23_1_26 = 0) | all_23_0_25 = all_0_10_10
% 24.39/7.16 |
% 24.39/7.16 | Instantiating (166) with all_25_0_27, all_25_1_28 yields:
% 24.39/7.16 | (193) tl(all_0_14_14) = all_25_0_27 & ssItem(all_0_10_10) = all_25_1_28 & ( ~ (all_25_1_28 = 0) | all_25_0_27 = nil)
% 24.39/7.16 |
% 24.39/7.16 | Applying alpha-rule on (193) yields:
% 24.39/7.16 | (194) tl(all_0_14_14) = all_25_0_27
% 24.39/7.16 | (195) ssItem(all_0_10_10) = all_25_1_28
% 24.39/7.16 | (196) ~ (all_25_1_28 = 0) | all_25_0_27 = nil
% 24.39/7.16 |
% 24.39/7.16 | Instantiating (172) with all_27_0_29, all_27_1_30 yields:
% 24.39/7.16 | (197) strictorderP(all_0_14_14) = all_27_0_29 & ssItem(all_0_10_10) = all_27_1_30 & ( ~ (all_27_1_30 = 0) | all_27_0_29 = 0)
% 24.39/7.16 |
% 24.39/7.16 | Applying alpha-rule on (197) yields:
% 24.39/7.16 | (198) strictorderP(all_0_14_14) = all_27_0_29
% 24.39/7.16 | (199) ssItem(all_0_10_10) = all_27_1_30
% 24.39/7.16 | (200) ~ (all_27_1_30 = 0) | all_27_0_29 = 0
% 24.39/7.16 |
% 24.39/7.16 | Instantiating (170) with all_29_0_31, all_29_1_32 yields:
% 24.39/7.16 | (201) strictorderedP(all_0_14_14) = all_29_0_31 & ssItem(all_0_10_10) = all_29_1_32 & ( ~ (all_29_1_32 = 0) | all_29_0_31 = 0)
% 24.39/7.16 |
% 24.39/7.16 | Applying alpha-rule on (201) yields:
% 24.39/7.16 | (202) strictorderedP(all_0_14_14) = all_29_0_31
% 24.39/7.16 | (203) ssItem(all_0_10_10) = all_29_1_32
% 24.39/7.16 | (204) ~ (all_29_1_32 = 0) | all_29_0_31 = 0
% 24.39/7.16 |
% 24.39/7.16 | Instantiating (169) with all_31_0_33, all_31_1_34 yields:
% 24.39/7.17 | (205) duplicatefreeP(all_0_14_14) = all_31_0_33 & ssItem(all_0_10_10) = all_31_1_34 & ( ~ (all_31_1_34 = 0) | all_31_0_33 = 0)
% 24.39/7.17 |
% 24.39/7.17 | Applying alpha-rule on (205) yields:
% 24.39/7.17 | (206) duplicatefreeP(all_0_14_14) = all_31_0_33
% 24.39/7.17 | (207) ssItem(all_0_10_10) = all_31_1_34
% 24.39/7.17 | (208) ~ (all_31_1_34 = 0) | all_31_0_33 = 0
% 24.39/7.17 |
% 24.39/7.17 | Instantiating (171) with all_33_0_35, all_33_1_36 yields:
% 24.39/7.17 | (209) totalorderedP(all_0_14_14) = all_33_0_35 & ssItem(all_0_10_10) = all_33_1_36 & ( ~ (all_33_1_36 = 0) | all_33_0_35 = 0)
% 24.39/7.17 |
% 24.39/7.17 | Applying alpha-rule on (209) yields:
% 24.39/7.17 | (210) totalorderedP(all_0_14_14) = all_33_0_35
% 24.39/7.17 | (211) ssItem(all_0_10_10) = all_33_1_36
% 24.39/7.17 | (212) ~ (all_33_1_36 = 0) | all_33_0_35 = 0
% 24.39/7.17 |
% 24.39/7.17 | Instantiating (176) with all_35_0_37, all_35_1_38 yields:
% 24.39/7.17 | (213) ssList(all_0_5_5) = all_35_0_37 & ssList(all_0_14_14) = all_35_1_38 & ( ~ (all_35_1_38 = 0) | all_35_0_37 = 0)
% 24.39/7.17 |
% 24.39/7.17 | Applying alpha-rule on (213) yields:
% 24.39/7.17 | (214) ssList(all_0_5_5) = all_35_0_37
% 24.39/7.17 | (215) ssList(all_0_14_14) = all_35_1_38
% 24.39/7.17 | (216) ~ (all_35_1_38 = 0) | all_35_0_37 = 0
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (57) with all_0_14_14, all_29_0_31, all_0_13_13 and discharging atoms strictorderedP(all_0_14_14) = all_29_0_31, strictorderedP(all_0_14_14) = all_0_13_13, yields:
% 24.39/7.17 | (217) all_29_0_31 = all_0_13_13
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (98) with all_0_14_14, all_35_1_38, 0 and discharging atoms ssList(all_0_14_14) = all_35_1_38, ssList(all_0_14_14) = 0, yields:
% 24.39/7.17 | (218) all_35_1_38 = 0
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_31_1_34, 0 and discharging atoms ssItem(all_0_10_10) = all_31_1_34, ssItem(all_0_10_10) = 0, yields:
% 24.39/7.17 | (219) all_31_1_34 = 0
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_29_1_32, all_33_1_36 and discharging atoms ssItem(all_0_10_10) = all_33_1_36, ssItem(all_0_10_10) = all_29_1_32, yields:
% 24.39/7.17 | (220) all_33_1_36 = all_29_1_32
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_27_1_30, all_31_1_34 and discharging atoms ssItem(all_0_10_10) = all_31_1_34, ssItem(all_0_10_10) = all_27_1_30, yields:
% 24.39/7.17 | (221) all_31_1_34 = all_27_1_30
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_25_1_28, all_31_1_34 and discharging atoms ssItem(all_0_10_10) = all_31_1_34, ssItem(all_0_10_10) = all_25_1_28, yields:
% 24.39/7.17 | (222) all_31_1_34 = all_25_1_28
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_25_1_28, all_29_1_32 and discharging atoms ssItem(all_0_10_10) = all_29_1_32, ssItem(all_0_10_10) = all_25_1_28, yields:
% 24.39/7.17 | (223) all_29_1_32 = all_25_1_28
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_23_1_26, all_31_1_34 and discharging atoms ssItem(all_0_10_10) = all_31_1_34, ssItem(all_0_10_10) = all_23_1_26, yields:
% 24.39/7.17 | (224) all_31_1_34 = all_23_1_26
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_21_1_24, all_31_1_34 and discharging atoms ssItem(all_0_10_10) = all_31_1_34, ssItem(all_0_10_10) = all_21_1_24, yields:
% 24.39/7.17 | (225) all_31_1_34 = all_21_1_24
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_19_1_22, all_33_1_36 and discharging atoms ssItem(all_0_10_10) = all_33_1_36, ssItem(all_0_10_10) = all_19_1_22, yields:
% 24.39/7.17 | (226) all_33_1_36 = all_19_1_22
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (61) with all_0_10_10, all_17_1_20, all_23_1_26 and discharging atoms ssItem(all_0_10_10) = all_23_1_26, ssItem(all_0_10_10) = all_17_1_20, yields:
% 24.39/7.17 | (227) all_23_1_26 = all_17_1_20
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (220,226) yields a new equation:
% 24.39/7.17 | (228) all_29_1_32 = all_19_1_22
% 24.39/7.17 |
% 24.39/7.17 | Simplifying 228 yields:
% 24.39/7.17 | (229) all_29_1_32 = all_19_1_22
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (222,221) yields a new equation:
% 24.39/7.17 | (230) all_27_1_30 = all_25_1_28
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (225,221) yields a new equation:
% 24.39/7.17 | (231) all_27_1_30 = all_21_1_24
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (219,221) yields a new equation:
% 24.39/7.17 | (232) all_27_1_30 = 0
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (224,221) yields a new equation:
% 24.39/7.17 | (233) all_27_1_30 = all_23_1_26
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (223,229) yields a new equation:
% 24.39/7.17 | (234) all_25_1_28 = all_19_1_22
% 24.39/7.17 |
% 24.39/7.17 | Simplifying 234 yields:
% 24.39/7.17 | (235) all_25_1_28 = all_19_1_22
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (233,231) yields a new equation:
% 24.39/7.17 | (236) all_23_1_26 = all_21_1_24
% 24.39/7.17 |
% 24.39/7.17 | Simplifying 236 yields:
% 24.39/7.17 | (237) all_23_1_26 = all_21_1_24
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (232,231) yields a new equation:
% 24.39/7.17 | (238) all_21_1_24 = 0
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (230,231) yields a new equation:
% 24.39/7.17 | (239) all_25_1_28 = all_21_1_24
% 24.39/7.17 |
% 24.39/7.17 | Simplifying 239 yields:
% 24.39/7.17 | (240) all_25_1_28 = all_21_1_24
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (240,235) yields a new equation:
% 24.39/7.17 | (241) all_21_1_24 = all_19_1_22
% 24.39/7.17 |
% 24.39/7.17 | Simplifying 241 yields:
% 24.39/7.17 | (242) all_21_1_24 = all_19_1_22
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (237,227) yields a new equation:
% 24.39/7.17 | (243) all_21_1_24 = all_17_1_20
% 24.39/7.17 |
% 24.39/7.17 | Simplifying 243 yields:
% 24.39/7.17 | (244) all_21_1_24 = all_17_1_20
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (238,242) yields a new equation:
% 24.39/7.17 | (245) all_19_1_22 = 0
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (244,242) yields a new equation:
% 24.39/7.17 | (246) all_19_1_22 = all_17_1_20
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (245,246) yields a new equation:
% 24.39/7.17 | (247) all_17_1_20 = 0
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (247,246) yields a new equation:
% 24.39/7.17 | (245) all_19_1_22 = 0
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (245,229) yields a new equation:
% 24.39/7.17 | (249) all_29_1_32 = 0
% 24.39/7.17 |
% 24.39/7.17 | From (218) and (215) follows:
% 24.39/7.17 | (143) ssList(all_0_14_14) = 0
% 24.39/7.17 |
% 24.39/7.17 +-Applying beta-rule and splitting (204), into two cases.
% 24.39/7.17 |-Branch one:
% 24.39/7.17 | (251) ~ (all_29_1_32 = 0)
% 24.39/7.17 |
% 24.39/7.17 | Equations (249) can reduce 251 to:
% 24.39/7.17 | (252) $false
% 24.39/7.17 |
% 24.39/7.17 |-The branch is then unsatisfiable
% 24.39/7.17 |-Branch two:
% 24.39/7.17 | (249) all_29_1_32 = 0
% 24.39/7.17 | (254) all_29_0_31 = 0
% 24.39/7.17 |
% 24.39/7.17 | Combining equations (217,254) yields a new equation:
% 24.39/7.17 | (255) all_0_13_13 = 0
% 24.39/7.17 |
% 24.39/7.17 | Simplifying 255 yields:
% 24.39/7.17 | (256) all_0_13_13 = 0
% 24.39/7.17 |
% 24.39/7.17 +-Applying beta-rule and splitting (13), into two cases.
% 24.39/7.17 |-Branch one:
% 24.39/7.17 | (257) ~ (all_0_11_11 = 0)
% 24.39/7.17 |
% 24.39/7.17 +-Applying beta-rule and splitting (175), into two cases.
% 24.39/7.17 |-Branch one:
% 24.39/7.17 | (258) all_0_11_11 = 0
% 24.39/7.17 |
% 24.39/7.17 | Equations (258) can reduce 257 to:
% 24.39/7.17 | (252) $false
% 24.39/7.17 |
% 24.39/7.17 |-The branch is then unsatisfiable
% 24.39/7.17 |-Branch two:
% 24.39/7.17 | (257) ~ (all_0_11_11 = 0)
% 24.39/7.17 | (261) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_4_4) = v0) | ( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 24.39/7.17 |
% 24.39/7.17 | Instantiating (261) with all_97_0_39 yields:
% 24.39/7.17 | (262) ( ~ (all_97_0_39 = 0) & ssList(all_0_4_4) = all_97_0_39) | ( ~ (all_97_0_39 = 0) & ssList(all_0_7_7) = all_97_0_39) | ( ~ (all_97_0_39 = 0) & ssList(all_0_14_14) = all_97_0_39)
% 24.39/7.17 |
% 24.39/7.17 +-Applying beta-rule and splitting (262), into two cases.
% 24.39/7.17 |-Branch one:
% 24.39/7.17 | (263) ( ~ (all_97_0_39 = 0) & ssList(all_0_4_4) = all_97_0_39) | ( ~ (all_97_0_39 = 0) & ssList(all_0_7_7) = all_97_0_39)
% 24.39/7.17 |
% 24.39/7.17 +-Applying beta-rule and splitting (263), into two cases.
% 24.39/7.17 |-Branch one:
% 24.39/7.17 | (264) ~ (all_97_0_39 = 0) & ssList(all_0_4_4) = all_97_0_39
% 24.39/7.17 |
% 24.39/7.17 | Applying alpha-rule on (264) yields:
% 24.39/7.17 | (265) ~ (all_97_0_39 = 0)
% 24.39/7.17 | (266) ssList(all_0_4_4) = all_97_0_39
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (98) with all_0_4_4, all_97_0_39, 0 and discharging atoms ssList(all_0_4_4) = all_97_0_39, ssList(all_0_4_4) = 0, yields:
% 24.39/7.17 | (267) all_97_0_39 = 0
% 24.39/7.17 |
% 24.39/7.17 | Equations (267) can reduce 265 to:
% 24.39/7.17 | (252) $false
% 24.39/7.17 |
% 24.39/7.17 |-The branch is then unsatisfiable
% 24.39/7.17 |-Branch two:
% 24.39/7.17 | (269) ~ (all_97_0_39 = 0) & ssList(all_0_7_7) = all_97_0_39
% 24.39/7.17 |
% 24.39/7.17 | Applying alpha-rule on (269) yields:
% 24.39/7.17 | (265) ~ (all_97_0_39 = 0)
% 24.39/7.17 | (271) ssList(all_0_7_7) = all_97_0_39
% 24.39/7.17 |
% 24.39/7.17 | Instantiating formula (98) with all_0_7_7, all_97_0_39, 0 and discharging atoms ssList(all_0_7_7) = all_97_0_39, ssList(all_0_7_7) = 0, yields:
% 24.39/7.17 | (267) all_97_0_39 = 0
% 24.39/7.17 |
% 24.39/7.17 | Equations (267) can reduce 265 to:
% 24.39/7.17 | (252) $false
% 24.39/7.17 |
% 24.39/7.17 |-The branch is then unsatisfiable
% 24.39/7.17 |-Branch two:
% 24.39/7.17 | (274) ~ (all_97_0_39 = 0) & ssList(all_0_14_14) = all_97_0_39
% 24.39/7.17 |
% 24.39/7.17 | Applying alpha-rule on (274) yields:
% 24.39/7.17 | (265) ~ (all_97_0_39 = 0)
% 24.39/7.17 | (276) ssList(all_0_14_14) = all_97_0_39
% 24.39/7.18 |
% 24.39/7.18 | Instantiating formula (98) with all_0_14_14, all_97_0_39, 0 and discharging atoms ssList(all_0_14_14) = all_97_0_39, ssList(all_0_14_14) = 0, yields:
% 24.39/7.18 | (267) all_97_0_39 = 0
% 24.39/7.18 |
% 24.39/7.18 | Equations (267) can reduce 265 to:
% 24.39/7.18 | (252) $false
% 24.39/7.18 |
% 24.39/7.18 |-The branch is then unsatisfiable
% 24.39/7.18 |-Branch two:
% 24.39/7.18 | (258) all_0_11_11 = 0
% 24.39/7.18 | (280) ~ (all_0_13_13 = 0)
% 24.39/7.18 |
% 24.39/7.18 | Equations (256) can reduce 280 to:
% 24.39/7.18 | (252) $false
% 24.39/7.18 |
% 24.39/7.18 |-The branch is then unsatisfiable
% 24.39/7.18 |-Branch two:
% 24.39/7.18 | (282) all_0_12_12 = nil & all_0_14_14 = nil
% 24.39/7.18 |
% 24.39/7.18 | Applying alpha-rule on (282) yields:
% 24.39/7.18 | (283) all_0_12_12 = nil
% 24.39/7.18 | (284) all_0_14_14 = nil
% 24.39/7.18 |
% 24.39/7.18 | From (284) and (85) follows:
% 24.39/7.18 | (285) strictorderedP(nil) = all_0_13_13
% 24.39/7.18 |
% 24.39/7.18 | From (283)(284) and (47) follows:
% 24.39/7.18 | (286) segmentP(nil, nil) = all_0_11_11
% 24.39/7.18 |
% 24.39/7.18 +-Applying beta-rule and splitting (149), into two cases.
% 24.39/7.18 |-Branch one:
% 24.39/7.18 | (287) ~ (strictorderedP(nil) = all_0_13_13)
% 24.39/7.18 |
% 24.39/7.18 | Using (285) and (287) yields:
% 24.39/7.18 | (288) $false
% 24.39/7.18 |
% 24.39/7.18 |-The branch is then unsatisfiable
% 24.39/7.18 |-Branch two:
% 24.39/7.18 | (285) strictorderedP(nil) = all_0_13_13
% 24.39/7.18 | (256) all_0_13_13 = 0
% 24.39/7.18 |
% 24.39/7.18 +-Applying beta-rule and splitting (13), into two cases.
% 24.39/7.18 |-Branch one:
% 24.39/7.18 | (257) ~ (all_0_11_11 = 0)
% 24.39/7.18 |
% 24.39/7.18 +-Applying beta-rule and splitting (151), into two cases.
% 24.39/7.18 |-Branch one:
% 24.39/7.18 | (292) ~ (segmentP(all_0_12_12, nil) = all_0_11_11)
% 24.39/7.18 |
% 24.39/7.18 | From (283) and (292) follows:
% 24.39/7.18 | (293) ~ (segmentP(nil, nil) = all_0_11_11)
% 24.39/7.18 |
% 24.39/7.18 | Using (286) and (293) yields:
% 24.39/7.18 | (288) $false
% 24.39/7.18 |
% 24.39/7.18 |-The branch is then unsatisfiable
% 24.39/7.18 |-Branch two:
% 24.39/7.18 | (295) segmentP(all_0_12_12, nil) = all_0_11_11
% 24.39/7.18 | (296) all_0_11_11 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_12_12) = v0)
% 24.39/7.18 |
% 24.39/7.18 | From (283) and (295) follows:
% 24.39/7.18 | (286) segmentP(nil, nil) = all_0_11_11
% 24.39/7.18 |
% 24.39/7.18 +-Applying beta-rule and splitting (150), into two cases.
% 24.39/7.18 |-Branch one:
% 24.39/7.18 | (298) ~ (segmentP(all_0_14_14, all_0_14_14) = all_0_11_11)
% 24.39/7.18 |
% 24.39/7.18 | From (284)(284) and (298) follows:
% 24.39/7.18 | (293) ~ (segmentP(nil, nil) = all_0_11_11)
% 24.39/7.18 |
% 24.39/7.18 | Using (286) and (293) yields:
% 24.39/7.18 | (288) $false
% 24.39/7.18 |
% 24.39/7.18 |-The branch is then unsatisfiable
% 24.39/7.18 |-Branch two:
% 24.39/7.18 | (301) segmentP(all_0_14_14, all_0_14_14) = all_0_11_11
% 24.39/7.18 | (302) all_0_11_11 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_14_14) = v0)
% 24.39/7.18 |
% 24.39/7.18 | From (284)(284) and (301) follows:
% 24.39/7.18 | (286) segmentP(nil, nil) = all_0_11_11
% 24.39/7.18 |
% 24.39/7.18 +-Applying beta-rule and splitting (296), into two cases.
% 24.39/7.18 |-Branch one:
% 24.39/7.18 | (258) all_0_11_11 = 0
% 24.39/7.18 |
% 24.39/7.18 | Equations (258) can reduce 257 to:
% 24.39/7.18 | (252) $false
% 24.39/7.18 |
% 24.39/7.18 |-The branch is then unsatisfiable
% 24.39/7.18 |-Branch two:
% 24.39/7.18 | (257) ~ (all_0_11_11 = 0)
% 24.39/7.18 | (307) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_12_12) = v0)
% 24.39/7.18 |
% 24.39/7.18 | Instantiating formula (83) with all_0_11_11 and discharging atoms segmentP(nil, nil) = all_0_11_11, yields:
% 24.39/7.18 | (258) all_0_11_11 = 0
% 24.39/7.18 |
% 24.39/7.18 | Equations (258) can reduce 257 to:
% 24.39/7.18 | (252) $false
% 24.39/7.18 |
% 24.39/7.18 |-The branch is then unsatisfiable
% 24.39/7.18 |-Branch two:
% 24.39/7.18 | (258) all_0_11_11 = 0
% 24.39/7.18 | (280) ~ (all_0_13_13 = 0)
% 24.39/7.18 |
% 24.39/7.18 | Equations (256) can reduce 280 to:
% 24.39/7.18 | (252) $false
% 24.39/7.18 |
% 24.39/7.18 |-The branch is then unsatisfiable
% 24.39/7.18 % SZS output end Proof for theBenchmark
% 24.39/7.18
% 24.39/7.18 6548ms
%------------------------------------------------------------------------------