TSTP Solution File: SWC330+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC330+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 20:17:31 EDT 2022
% Result : Theorem 21.99s 6.55s
% Output : Proof 26.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC330+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 05:28:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.59 ____ _
% 0.59/0.59 ___ / __ \_____(_)___ ________ __________
% 0.59/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.59
% 0.59/0.59 A Theorem Prover for First-Order Logic
% 0.59/0.59 (ePrincess v.1.0)
% 0.59/0.59
% 0.59/0.59 (c) Philipp Rümmer, 2009-2015
% 0.59/0.59 (c) Peter Backeman, 2014-2015
% 0.59/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.59 Bug reports to peter@backeman.se
% 0.59/0.59
% 0.59/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.59
% 0.59/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.44/1.09 Prover 0: Preprocessing ...
% 5.28/1.77 Prover 0: Constructing countermodel ...
% 19.25/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.07/6.09 Prover 1: Preprocessing ...
% 21.57/6.43 Prover 1: Constructing countermodel ...
% 21.99/6.54 Prover 1: proved (615ms)
% 21.99/6.55 Prover 0: stopped
% 21.99/6.55
% 21.99/6.55 No countermodel exists, formula is valid
% 21.99/6.55 % SZS status Theorem for theBenchmark
% 21.99/6.55
% 21.99/6.55 Generating proof ... found it (size 87)
% 25.39/7.30
% 25.39/7.30 % SZS output start Proof for theBenchmark
% 25.39/7.30 Assumed formulas after preprocessing and simplification:
% 25.39/7.30 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = v14) & ~ (v0 = 0) & equalelemsP(v1) = v2 & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & 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)))
% 25.62/7.38 | 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:
% 25.62/7.38 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_15_15 = 0) & equalelemsP(all_0_14_14) = all_0_13_13 & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & 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))
% 25.62/7.41 |
% 25.62/7.41 | Applying alpha-rule on (1) yields:
% 25.98/7.41 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 25.98/7.41 | (3) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 25.98/7.41 | (4) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 25.98/7.41 | (5) ssList(all_0_12_12) = 0
% 25.98/7.41 | (6) duplicatefreeP(nil) = 0
% 25.98/7.41 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 25.98/7.41 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 25.98/7.41 | (9) ! [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)))))))
% 25.98/7.41 | (10) ! [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)))
% 25.98/7.41 | (11) ! [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)))))
% 25.98/7.41 | (12) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 25.98/7.41 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 25.98/7.41 | (14) ! [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)))
% 25.98/7.41 | (15) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 25.98/7.41 | (16) ! [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)))))
% 25.98/7.41 | (17) ! [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)))))
% 25.98/7.41 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 25.98/7.41 | (19) ! [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)))
% 25.98/7.41 | (20) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.41 | (21) strictorderedP(nil) = 0
% 25.98/7.41 | (22) ! [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)))
% 25.98/7.41 | (23) ! [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)))
% 25.98/7.41 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 25.98/7.41 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 25.98/7.41 | (26) ! [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))))))))
% 25.98/7.41 | (27) ! [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)))
% 25.98/7.42 | (28) ! [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)))))
% 25.98/7.42 | (29) ! [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))))))))
% 25.98/7.42 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 25.98/7.42 | (31) strictorderP(nil) = 0
% 25.98/7.42 | (32) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 25.98/7.42 | (33) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.42 | (34) ! [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)))))))
% 25.98/7.42 | (35) ! [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)))
% 25.98/7.42 | (36) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.42 | (37) (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)
% 25.98/7.42 | (38) totalorderP(nil) = 0
% 25.98/7.42 | (39) ! [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)))))
% 25.98/7.42 | (40) ! [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)))
% 25.98/7.42 | (41) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 25.98/7.42 | (42) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 25.98/7.42 | (43) ! [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)))
% 25.98/7.42 | (44) ! [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)))
% 25.98/7.42 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 25.98/7.42 | (46) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 25.98/7.42 | (47) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 25.98/7.42 | (48) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 25.98/7.42 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 25.98/7.42 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 25.98/7.42 | (51) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 25.98/7.42 | (52) ! [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)))
% 25.98/7.42 | (53) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.98/7.42 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 25.98/7.42 | (55) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 25.98/7.42 | (56) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.98/7.42 | (57) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 25.98/7.42 | (58) totalorderedP(nil) = 0
% 25.98/7.42 | (59) ! [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)))))))
% 25.98/7.42 | (60) ~ (all_0_11_11 = 0) | ~ (all_0_13_13 = 0)
% 25.98/7.42 | (61) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 25.98/7.42 | (62) ! [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)))
% 25.98/7.42 | (63) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 25.98/7.42 | (64) ! [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)))))
% 25.98/7.43 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 25.98/7.43 | (66) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 25.98/7.43 | (67) ! [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)))
% 25.98/7.43 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 25.98/7.43 | (69) ! [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)))
% 25.98/7.43 | (70) ! [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))))
% 25.98/7.43 | (71) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 25.98/7.43 | (72) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.98/7.43 | (73) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 25.98/7.43 | (74) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 25.98/7.43 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 25.98/7.43 | (76) ! [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)))))))
% 25.98/7.43 | (77) ssItem(all_0_0_0) = 0
% 25.98/7.43 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 25.98/7.43 | (79) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 25.98/7.43 | (80) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 25.98/7.43 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 25.98/7.43 | (82) ! [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)))))
% 25.98/7.43 | (83) ! [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)))))))
% 25.98/7.43 | (84) ssList(all_0_14_14) = 0
% 25.98/7.43 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 25.98/7.43 | (86) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.43 | (87) ! [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)))
% 25.98/7.43 | (88) equalelemsP(all_0_14_14) = all_0_13_13
% 25.98/7.43 | (89) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.43 | (90) ! [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)))
% 25.98/7.43 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 25.98/7.43 | (92) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 25.98/7.43 | (93) ~ (all_0_15_15 = 0)
% 25.98/7.43 | (94) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.43 | (95) ! [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)))
% 25.98/7.43 | (96) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 25.98/7.43 | (97) ! [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)))))
% 25.98/7.43 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 25.98/7.43 | (99) ! [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))))))))
% 25.98/7.44 | (100) ! [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))))
% 25.98/7.44 | (101) ssList(nil) = 0
% 25.98/7.44 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 25.98/7.44 | (103) singletonP(nil) = all_0_15_15
% 25.98/7.44 | (104) ! [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)))
% 25.98/7.44 | (105) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 25.98/7.44 | (106) cyclefreeP(nil) = 0
% 25.98/7.44 | (107) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.98/7.44 | (108) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 25.98/7.44 | (109) ! [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)))))))
% 25.98/7.44 | (110) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.98/7.44 | (111) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 25.98/7.44 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 25.98/7.44 | (113) segmentP(all_0_12_12, all_0_14_14) = all_0_11_11
% 25.98/7.44 | (114) ! [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)))))))
% 25.98/7.44 | (115) equalelemsP(nil) = 0
% 25.98/7.44 | (116) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 25.98/7.44 | (117) ! [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)))))
% 25.98/7.44 | (118) ! [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)))
% 25.98/7.44 | (119) ~ (all_0_0_0 = all_0_1_1)
% 25.98/7.44 | (120) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 25.98/7.44 | (121) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.98/7.44 | (122) ! [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))))
% 25.98/7.44 | (123) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 25.98/7.44 | (124) ! [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))))
% 25.98/7.44 | (125) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 25.98/7.44 | (126) ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2)))
% 25.98/7.44 | (127) ! [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)))
% 25.98/7.44 | (128) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.44 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 25.98/7.44 | (130) ! [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)))
% 25.98/7.44 | (131) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.44 | (132) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.98/7.45 | (133) ! [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))))
% 25.98/7.45 | (134) ! [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)))
% 25.98/7.45 | (135) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 25.98/7.45 | (136) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 25.98/7.45 | (137) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 25.98/7.45 | (138) ! [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)))
% 25.98/7.45 | (139) ! [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)))))
% 25.98/7.45 | (140) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 25.98/7.45 | (141) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.98/7.45 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 25.98/7.45 | (143) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 25.98/7.45 | (144) ! [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)))
% 25.98/7.45 | (145) ssItem(all_0_1_1) = 0
% 25.98/7.45 | (146) ! [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)))
% 25.98/7.45 | (147) ! [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)))
% 25.98/7.45 | (148) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 25.98/7.45 |
% 25.98/7.45 | Instantiating formula (148) with nil, 0, all_0_13_13 and discharging atoms equalelemsP(nil) = 0, yields:
% 25.98/7.45 | (149) all_0_13_13 = 0 | ~ (equalelemsP(nil) = all_0_13_13)
% 25.98/7.45 |
% 25.98/7.45 | Instantiating formula (41) with all_0_11_11, all_0_14_14 yields:
% 25.98/7.45 | (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)
% 25.98/7.45 |
% 25.98/7.45 | Instantiating formula (123) with all_0_11_11, all_0_12_12 yields:
% 25.98/7.45 | (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)
% 25.98/7.45 |
% 25.98/7.45 +-Applying beta-rule and splitting (37), into two cases.
% 25.98/7.45 |-Branch one:
% 25.98/7.45 | (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))))
% 25.98/7.45 |
% 25.98/7.45 | Applying alpha-rule on (152) yields:
% 25.98/7.45 | (153) all_0_9_9 = 0
% 25.98/7.45 | (154) all_0_2_2 = all_0_12_12
% 25.98/7.45 | (155) ssItem(all_0_10_10) = 0
% 25.98/7.45 | (156) ! [v0] : ( ~ (memberP(all_0_4_4, v0) = 0) | ? [v1] : ? [v2] : (lt(v0, all_0_10_10) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 25.98/7.45 | (157) cons(all_0_10_10, nil) = all_0_14_14
% 25.98/7.45 | (158) ! [v0] : ( ~ (memberP(all_0_7_7, v0) = 0) | ? [v1] : ? [v2] : (lt(all_0_10_10, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 25.98/7.45 | (159) ssList(all_0_7_7) = 0
% 25.98/7.45 | (160) app(all_0_7_7, all_0_14_14) = all_0_5_5
% 25.98/7.45 | (161) all_0_6_6 = 0
% 25.98/7.45 | (162) all_0_8_8 = all_0_14_14
% 25.98/7.45 | (163) app(all_0_5_5, all_0_4_4) = all_0_12_12
% 25.98/7.45 | (164) ssList(all_0_4_4) = 0
% 25.98/7.45 | (165) all_0_3_3 = 0
% 25.98/7.45 |
% 25.98/7.45 | Instantiating formula (18) 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:
% 25.98/7.45 | (166) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 25.98/7.45 |
% 25.98/7.45 | Instantiating formula (86) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 25.98/7.45 | (167) ? [v0] : ? [v1] : (equalelemsP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.98/7.45 |
% 25.98/7.45 | Instantiating formula (89) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 25.98/7.45 | (168) ? [v0] : ? [v1] : (duplicatefreeP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.98/7.45 |
% 25.98/7.45 | Instantiating formula (94) with all_0_14_14, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_14_14, yields:
% 25.98/7.45 | (169) ? [v0] : ? [v1] : (strictorderP(all_0_14_14) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.98/7.45 |
% 25.98/7.45 | Instantiating formula (134) 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:
% 25.98/7.45 | (170) 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))
% 25.98/7.46 |
% 25.98/7.46 | Instantiating formula (13) 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:
% 25.98/7.46 | (171) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssList(all_0_14_14) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.98/7.46 |
% 25.98/7.46 | Instantiating (167) with all_21_0_23, all_21_1_24 yields:
% 25.98/7.46 | (172) 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)
% 25.98/7.46 |
% 25.98/7.46 | Applying alpha-rule on (172) yields:
% 25.98/7.46 | (173) equalelemsP(all_0_14_14) = all_21_0_23
% 25.98/7.46 | (174) ssItem(all_0_10_10) = all_21_1_24
% 25.98/7.46 | (175) ~ (all_21_1_24 = 0) | all_21_0_23 = 0
% 25.98/7.46 |
% 25.98/7.46 | Instantiating (166) with all_23_0_25, all_23_1_26 yields:
% 25.98/7.46 | (176) 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)
% 25.98/7.46 |
% 25.98/7.46 | Applying alpha-rule on (176) yields:
% 25.98/7.46 | (177) hd(all_0_14_14) = all_23_0_25
% 25.98/7.46 | (178) ssItem(all_0_10_10) = all_23_1_26
% 25.98/7.46 | (179) ~ (all_23_1_26 = 0) | all_23_0_25 = all_0_10_10
% 25.98/7.46 |
% 25.98/7.46 | Instantiating (169) with all_27_0_29, all_27_1_30 yields:
% 25.98/7.46 | (180) 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)
% 25.98/7.46 |
% 25.98/7.46 | Applying alpha-rule on (180) yields:
% 25.98/7.46 | (181) strictorderP(all_0_14_14) = all_27_0_29
% 25.98/7.46 | (182) ssItem(all_0_10_10) = all_27_1_30
% 25.98/7.46 | (183) ~ (all_27_1_30 = 0) | all_27_0_29 = 0
% 25.98/7.46 |
% 25.98/7.46 | Instantiating (168) with all_31_0_33, all_31_1_34 yields:
% 25.98/7.46 | (184) 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)
% 25.98/7.46 |
% 25.98/7.46 | Applying alpha-rule on (184) yields:
% 25.98/7.46 | (185) duplicatefreeP(all_0_14_14) = all_31_0_33
% 25.98/7.46 | (186) ssItem(all_0_10_10) = all_31_1_34
% 25.98/7.46 | (187) ~ (all_31_1_34 = 0) | all_31_0_33 = 0
% 25.98/7.46 |
% 25.98/7.46 | Instantiating (171) with all_35_0_37, all_35_1_38 yields:
% 25.98/7.46 | (188) 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)
% 25.98/7.46 |
% 25.98/7.46 | Applying alpha-rule on (188) yields:
% 25.98/7.46 | (189) ssList(all_0_5_5) = all_35_0_37
% 25.98/7.46 | (190) ssList(all_0_14_14) = all_35_1_38
% 25.98/7.46 | (191) ~ (all_35_1_38 = 0) | all_35_0_37 = 0
% 25.98/7.46 |
% 25.98/7.46 | Instantiating formula (148) with all_0_14_14, all_21_0_23, all_0_13_13 and discharging atoms equalelemsP(all_0_14_14) = all_21_0_23, equalelemsP(all_0_14_14) = all_0_13_13, yields:
% 25.98/7.46 | (192) all_21_0_23 = all_0_13_13
% 25.98/7.46 |
% 25.98/7.46 | Instantiating formula (49) 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:
% 25.98/7.46 | (193) all_35_1_38 = 0
% 25.98/7.46 |
% 25.98/7.46 | Instantiating formula (85) 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:
% 25.98/7.46 | (194) all_31_1_34 = 0
% 25.98/7.46 |
% 25.98/7.46 | Instantiating formula (85) 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:
% 25.98/7.46 | (195) all_31_1_34 = all_27_1_30
% 25.98/7.46 |
% 25.98/7.46 | Instantiating formula (85) 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:
% 25.98/7.46 | (196) all_31_1_34 = all_23_1_26
% 25.98/7.46 |
% 25.98/7.46 | Instantiating formula (85) with all_0_10_10, all_21_1_24, all_23_1_26 and discharging atoms ssItem(all_0_10_10) = all_23_1_26, ssItem(all_0_10_10) = all_21_1_24, yields:
% 25.98/7.46 | (197) all_23_1_26 = all_21_1_24
% 25.98/7.46 |
% 25.98/7.46 | Combining equations (194,195) yields a new equation:
% 25.98/7.46 | (198) all_27_1_30 = 0
% 25.98/7.46 |
% 25.98/7.46 | Combining equations (196,195) yields a new equation:
% 25.98/7.46 | (199) all_27_1_30 = all_23_1_26
% 25.98/7.46 |
% 25.98/7.46 | Combining equations (199,198) yields a new equation:
% 25.98/7.46 | (200) all_23_1_26 = 0
% 25.98/7.46 |
% 25.98/7.46 | Simplifying 200 yields:
% 25.98/7.46 | (201) all_23_1_26 = 0
% 25.98/7.46 |
% 25.98/7.46 | Combining equations (197,201) yields a new equation:
% 25.98/7.46 | (202) all_21_1_24 = 0
% 25.98/7.46 |
% 25.98/7.46 | Simplifying 202 yields:
% 25.98/7.46 | (203) all_21_1_24 = 0
% 25.98/7.46 |
% 25.98/7.46 | From (193) and (190) follows:
% 25.98/7.46 | (84) ssList(all_0_14_14) = 0
% 25.98/7.46 |
% 25.98/7.46 +-Applying beta-rule and splitting (175), into two cases.
% 25.98/7.46 |-Branch one:
% 25.98/7.46 | (205) ~ (all_21_1_24 = 0)
% 25.98/7.46 |
% 25.98/7.46 | Equations (203) can reduce 205 to:
% 25.98/7.46 | (206) $false
% 25.98/7.46 |
% 25.98/7.46 |-The branch is then unsatisfiable
% 25.98/7.46 |-Branch two:
% 25.98/7.46 | (203) all_21_1_24 = 0
% 25.98/7.46 | (208) all_21_0_23 = 0
% 25.98/7.46 |
% 25.98/7.46 | Combining equations (192,208) yields a new equation:
% 25.98/7.46 | (209) all_0_13_13 = 0
% 25.98/7.46 |
% 25.98/7.46 | Simplifying 209 yields:
% 25.98/7.46 | (210) all_0_13_13 = 0
% 25.98/7.46 |
% 25.98/7.46 +-Applying beta-rule and splitting (60), into two cases.
% 25.98/7.46 |-Branch one:
% 25.98/7.46 | (211) ~ (all_0_11_11 = 0)
% 25.98/7.46 |
% 25.98/7.46 +-Applying beta-rule and splitting (170), into two cases.
% 25.98/7.46 |-Branch one:
% 25.98/7.46 | (212) all_0_11_11 = 0
% 25.98/7.46 |
% 25.98/7.46 | Equations (212) can reduce 211 to:
% 25.98/7.46 | (206) $false
% 25.98/7.46 |
% 25.98/7.46 |-The branch is then unsatisfiable
% 25.98/7.46 |-Branch two:
% 25.98/7.46 | (211) ~ (all_0_11_11 = 0)
% 25.98/7.46 | (215) ? [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))
% 25.98/7.46 |
% 25.98/7.46 | Instantiating (215) with all_101_0_39 yields:
% 25.98/7.46 | (216) ( ~ (all_101_0_39 = 0) & ssList(all_0_4_4) = all_101_0_39) | ( ~ (all_101_0_39 = 0) & ssList(all_0_7_7) = all_101_0_39) | ( ~ (all_101_0_39 = 0) & ssList(all_0_14_14) = all_101_0_39)
% 25.98/7.46 |
% 25.98/7.46 +-Applying beta-rule and splitting (216), into two cases.
% 25.98/7.46 |-Branch one:
% 25.98/7.46 | (217) ( ~ (all_101_0_39 = 0) & ssList(all_0_4_4) = all_101_0_39) | ( ~ (all_101_0_39 = 0) & ssList(all_0_7_7) = all_101_0_39)
% 25.98/7.46 |
% 25.98/7.46 +-Applying beta-rule and splitting (217), into two cases.
% 25.98/7.46 |-Branch one:
% 25.98/7.46 | (218) ~ (all_101_0_39 = 0) & ssList(all_0_4_4) = all_101_0_39
% 25.98/7.46 |
% 25.98/7.46 | Applying alpha-rule on (218) yields:
% 25.98/7.46 | (219) ~ (all_101_0_39 = 0)
% 25.98/7.47 | (220) ssList(all_0_4_4) = all_101_0_39
% 25.98/7.47 |
% 25.98/7.47 | Instantiating formula (49) with all_0_4_4, all_101_0_39, 0 and discharging atoms ssList(all_0_4_4) = all_101_0_39, ssList(all_0_4_4) = 0, yields:
% 25.98/7.47 | (221) all_101_0_39 = 0
% 25.98/7.47 |
% 25.98/7.47 | Equations (221) can reduce 219 to:
% 25.98/7.47 | (206) $false
% 25.98/7.47 |
% 25.98/7.47 |-The branch is then unsatisfiable
% 25.98/7.47 |-Branch two:
% 25.98/7.47 | (223) ~ (all_101_0_39 = 0) & ssList(all_0_7_7) = all_101_0_39
% 25.98/7.47 |
% 25.98/7.47 | Applying alpha-rule on (223) yields:
% 25.98/7.47 | (219) ~ (all_101_0_39 = 0)
% 25.98/7.47 | (225) ssList(all_0_7_7) = all_101_0_39
% 25.98/7.47 |
% 25.98/7.47 | Instantiating formula (49) with all_0_7_7, all_101_0_39, 0 and discharging atoms ssList(all_0_7_7) = all_101_0_39, ssList(all_0_7_7) = 0, yields:
% 25.98/7.47 | (221) all_101_0_39 = 0
% 25.98/7.47 |
% 25.98/7.47 | Equations (221) can reduce 219 to:
% 25.98/7.47 | (206) $false
% 25.98/7.47 |
% 25.98/7.47 |-The branch is then unsatisfiable
% 25.98/7.47 |-Branch two:
% 25.98/7.47 | (228) ~ (all_101_0_39 = 0) & ssList(all_0_14_14) = all_101_0_39
% 25.98/7.47 |
% 25.98/7.47 | Applying alpha-rule on (228) yields:
% 25.98/7.47 | (219) ~ (all_101_0_39 = 0)
% 25.98/7.47 | (230) ssList(all_0_14_14) = all_101_0_39
% 25.98/7.47 |
% 25.98/7.47 | Instantiating formula (49) with all_0_14_14, all_101_0_39, 0 and discharging atoms ssList(all_0_14_14) = all_101_0_39, ssList(all_0_14_14) = 0, yields:
% 25.98/7.47 | (221) all_101_0_39 = 0
% 25.98/7.47 |
% 25.98/7.47 | Equations (221) can reduce 219 to:
% 25.98/7.47 | (206) $false
% 25.98/7.47 |
% 25.98/7.47 |-The branch is then unsatisfiable
% 25.98/7.47 |-Branch two:
% 25.98/7.47 | (212) all_0_11_11 = 0
% 25.98/7.47 | (234) ~ (all_0_13_13 = 0)
% 25.98/7.47 |
% 25.98/7.47 | Equations (210) can reduce 234 to:
% 25.98/7.47 | (206) $false
% 25.98/7.47 |
% 25.98/7.47 |-The branch is then unsatisfiable
% 25.98/7.47 |-Branch two:
% 25.98/7.47 | (236) all_0_12_12 = nil & all_0_14_14 = nil
% 25.98/7.47 |
% 25.98/7.47 | Applying alpha-rule on (236) yields:
% 25.98/7.47 | (237) all_0_12_12 = nil
% 25.98/7.47 | (238) all_0_14_14 = nil
% 25.98/7.47 |
% 25.98/7.47 | From (238) and (88) follows:
% 25.98/7.47 | (239) equalelemsP(nil) = all_0_13_13
% 25.98/7.47 |
% 25.98/7.47 | From (237)(238) and (113) follows:
% 25.98/7.47 | (240) segmentP(nil, nil) = all_0_11_11
% 25.98/7.47 |
% 25.98/7.47 +-Applying beta-rule and splitting (149), into two cases.
% 25.98/7.47 |-Branch one:
% 25.98/7.47 | (241) ~ (equalelemsP(nil) = all_0_13_13)
% 25.98/7.47 |
% 25.98/7.47 | Using (239) and (241) yields:
% 25.98/7.47 | (242) $false
% 25.98/7.47 |
% 25.98/7.47 |-The branch is then unsatisfiable
% 25.98/7.47 |-Branch two:
% 25.98/7.47 | (239) equalelemsP(nil) = all_0_13_13
% 25.98/7.47 | (210) all_0_13_13 = 0
% 25.98/7.47 |
% 25.98/7.47 +-Applying beta-rule and splitting (60), into two cases.
% 25.98/7.47 |-Branch one:
% 25.98/7.47 | (211) ~ (all_0_11_11 = 0)
% 25.98/7.47 |
% 25.98/7.47 +-Applying beta-rule and splitting (151), into two cases.
% 25.98/7.47 |-Branch one:
% 25.98/7.47 | (246) ~ (segmentP(all_0_12_12, nil) = all_0_11_11)
% 25.98/7.47 |
% 25.98/7.47 | From (237) and (246) follows:
% 25.98/7.47 | (247) ~ (segmentP(nil, nil) = all_0_11_11)
% 25.98/7.47 |
% 25.98/7.47 | Using (240) and (247) yields:
% 25.98/7.47 | (242) $false
% 25.98/7.47 |
% 25.98/7.47 |-The branch is then unsatisfiable
% 25.98/7.47 |-Branch two:
% 25.98/7.47 | (249) segmentP(all_0_12_12, nil) = all_0_11_11
% 26.28/7.47 | (250) all_0_11_11 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_12_12) = v0)
% 26.28/7.47 |
% 26.28/7.47 | From (237) and (249) follows:
% 26.28/7.47 | (240) segmentP(nil, nil) = all_0_11_11
% 26.28/7.47 |
% 26.28/7.47 +-Applying beta-rule and splitting (150), into two cases.
% 26.28/7.47 |-Branch one:
% 26.28/7.47 | (252) ~ (segmentP(all_0_14_14, all_0_14_14) = all_0_11_11)
% 26.28/7.47 |
% 26.28/7.47 | From (238)(238) and (252) follows:
% 26.28/7.47 | (247) ~ (segmentP(nil, nil) = all_0_11_11)
% 26.28/7.47 |
% 26.28/7.47 | Using (240) and (247) yields:
% 26.28/7.47 | (242) $false
% 26.28/7.47 |
% 26.28/7.47 |-The branch is then unsatisfiable
% 26.28/7.47 |-Branch two:
% 26.28/7.47 | (255) segmentP(all_0_14_14, all_0_14_14) = all_0_11_11
% 26.28/7.47 | (256) all_0_11_11 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_14_14) = v0)
% 26.28/7.47 |
% 26.28/7.47 | From (238)(238) and (255) follows:
% 26.28/7.47 | (240) segmentP(nil, nil) = all_0_11_11
% 26.28/7.47 |
% 26.28/7.47 +-Applying beta-rule and splitting (250), into two cases.
% 26.28/7.47 |-Branch one:
% 26.28/7.47 | (212) all_0_11_11 = 0
% 26.28/7.47 |
% 26.28/7.47 | Equations (212) can reduce 211 to:
% 26.28/7.47 | (206) $false
% 26.28/7.47 |
% 26.28/7.47 |-The branch is then unsatisfiable
% 26.28/7.47 |-Branch two:
% 26.28/7.47 | (211) ~ (all_0_11_11 = 0)
% 26.28/7.47 | (261) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_12_12) = v0)
% 26.28/7.47 |
% 26.28/7.47 | Instantiating formula (48) with all_0_11_11 and discharging atoms segmentP(nil, nil) = all_0_11_11, yields:
% 26.28/7.47 | (212) all_0_11_11 = 0
% 26.28/7.47 |
% 26.28/7.47 | Equations (212) can reduce 211 to:
% 26.28/7.47 | (206) $false
% 26.28/7.47 |
% 26.28/7.47 |-The branch is then unsatisfiable
% 26.28/7.47 |-Branch two:
% 26.28/7.47 | (212) all_0_11_11 = 0
% 26.28/7.47 | (234) ~ (all_0_13_13 = 0)
% 26.28/7.47 |
% 26.28/7.47 | Equations (210) can reduce 234 to:
% 26.28/7.47 | (206) $false
% 26.28/7.47 |
% 26.28/7.47 |-The branch is then unsatisfiable
% 26.28/7.48 % SZS output end Proof for theBenchmark
% 26.28/7.48
% 26.28/7.48 6876ms
%------------------------------------------------------------------------------