TSTP Solution File: SWC098+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC098+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:16:11 EDT 2022
% Result : Theorem 21.40s 6.50s
% Output : Proof 27.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC098+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Sun Jun 12 11:03:10 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.14/0.51 ____ _
% 0.14/0.51 ___ / __ \_____(_)___ ________ __________
% 0.14/0.51 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.14/0.51 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.14/0.51 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.14/0.51
% 0.14/0.51 A Theorem Prover for First-Order Logic
% 0.14/0.51 (ePrincess v.1.0)
% 0.14/0.51
% 0.14/0.51 (c) Philipp Rümmer, 2009-2015
% 0.14/0.51 (c) Peter Backeman, 2014-2015
% 0.14/0.51 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.14/0.51 Free software under GNU Lesser General Public License (LGPL).
% 0.14/0.51 Bug reports to peter@backeman.se
% 0.14/0.51
% 0.14/0.51 For more information, visit http://user.uu.se/~petba168/breu/
% 0.14/0.51
% 0.14/0.51 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.57/0.55 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.04/0.95 Prover 0: Preprocessing ...
% 4.07/1.52 Prover 0: Constructing countermodel ...
% 18.62/5.85 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.20/5.96 Prover 1: Preprocessing ...
% 20.13/6.24 Prover 1: Constructing countermodel ...
% 21.40/6.50 Prover 1: proved (656ms)
% 21.40/6.50 Prover 0: stopped
% 21.40/6.50
% 21.40/6.50 No countermodel exists, formula is valid
% 21.40/6.50 % SZS status Theorem for theBenchmark
% 21.40/6.50
% 21.40/6.50 Generating proof ... found it (size 154)
% 26.64/7.70
% 26.64/7.70 % SZS output start Proof for theBenchmark
% 26.64/7.70 Assumed formulas after preprocessing and simplification:
% 26.64/7.70 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & ssItem(v8) = 0 & ssItem(v7) = 0 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = 0 | ~ (strictorderedP(v9) = 0) | ~ (lt(v10, v11) = v12) | ~ (ssList(v13) = 0) | ~ (cons(v11, v17) = v18) | ~ (cons(v10, v14) = v15) | ~ (app(v16, v18) = v9) | ~ (app(v13, v15) = v16) | ~ (ssItem(v10) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v9) = v19) | ( ~ (v19 = 0) & ssItem(v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = 0 | ~ (totalorderedP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssList(v13) = 0) | ~ (cons(v11, v17) = v18) | ~ (cons(v10, v14) = v15) | ~ (app(v16, v18) = v9) | ~ (app(v13, v15) = v16) | ~ (ssItem(v10) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v9) = v19) | ( ~ (v19 = 0) & ssItem(v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (duplicatefreeP(v9) = 0) | ~ (ssList(v11) = 0) | ~ (cons(v10, v15) = v16) | ~ (cons(v10, v12) = v13) | ~ (app(v14, v16) = v9) | ~ (app(v11, v13) = v14) | ~ (ssItem(v10) = 0) | ? [v17] : (( ~ (v17 = 0) & ssList(v15) = v17) | ( ~ (v17 = 0) & ssList(v12) = v17) | ( ~ (v17 = 0) & ssList(v9) = v17))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v14, v10) = v15) | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v12, v13) = v14) | ~ (app(v11, v9) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v11) = v16) | ( ~ (v16 = 0) & ssList(v10) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (equalelemsP(v9) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v11, v13) = v14) | ~ (cons(v10, v14) = v15) | ~ (app(v12, v15) = v9) | ~ (ssItem(v11) = 0) | ~ (ssItem(v10) = 0) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssList(v9) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (frontsegP(v12, v14) = v15) | ~ (cons(v10, v13) = v14) | ~ (cons(v9, v11) = v12) | ~ (ssItem(v10) = 0) | ~ (ssItem(v9) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v11) = v16) | (frontsegP(v11, v13) = v17 & ssList(v13) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v10 = v9) | v15 = 0) & ( ~ (v15 = 0) | (v17 = 0 & v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = 0 | ~ (segmentP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v13, v14) = v9) | ~ (app(v12, v10) = v13) | ? [v15] : (( ~ (v15 = 0) & ssList(v14) = v15) | ( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssList(v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = 0 | ~ (memberP(v9, v10) = v11) | ~ (ssList(v12) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v10, v13) = v14) | ~ (app(v12, v14) = v9) | ? [v15] : (( ~ (v15 = 0) & ssList(v13) = v15) | ( ~ (v15 = 0) & ssItem(v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (memberP(v13, v9) = v14) | ~ (memberP(v10, v9) = v11) | ~ (app(v10, v12) = v13) | ~ (ssItem(v9) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v10) = v15) | (memberP(v12, v9) = v16 & ssList(v12) = v15 & ( ~ (v15 = 0) | (( ~ (v14 = 0) | v16 = 0 | v11 = 0) & (v14 = 0 | ( ~ (v16 = 0) & ~ (v11 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v9) = 0) | ~ (cons(v12, v10) = v13) | ~ (app(v13, v9) = v14) | ~ (app(v10, v9) = v11) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & ssList(v10) = v15) | (cons(v12, v11) = v16 & ssItem(v12) = v15 & ( ~ (v15 = 0) | v16 = v14)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (ssList(v10) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v13, v10) = v12) | ~ (cons(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssItem(v13) = v14) | ( ~ (v14 = 0) & ssItem(v11) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, v10) = v13) | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v11) = v14) | ( ~ (v14 = 0) & ssList(v10) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, v10) = v13) | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ~ (app(v9, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & ssList(v11) = v14) | ( ~ (v14 = 0) & ssList(v10) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (ssList(v10) = 0) | ~ (ssList(v9) = 0) | ~ (cons(v13, v10) = v12) | ~ (cons(v11, v9) = v12) | ? [v14] : (( ~ (v14 = 0) & ssItem(v13) = v14) | ( ~ (v14 = 0) & ssItem(v11) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (memberP(v12, v9) = v13) | ~ (cons(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ~ (ssItem(v9) = 0) | ? [v14] : ? [v15] : (memberP(v11, v9) = v15 & ssList(v11) = v14 & ( ~ (v14 = 0) | (( ~ (v13 = 0) | v15 = 0 | v10 = v9) & (v13 = 0 | ( ~ (v15 = 0) & ~ (v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ssList(v9) = 0) | ~ (app(v11, v12) = v13) | ~ (app(v9, v10) = v11) | ? [v14] : ? [v15] : ? [v16] : (( ~ (v14 = 0) & ssList(v10) = v14) | (ssList(v12) = v14 & app(v10, v12) = v15 & app(v9, v15) = v16 & ( ~ (v14 = 0) | v16 = v13)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | v9 = nil | ~ (tl(v9) = v11) | ~ (hd(v9) = v10) | ~ (cons(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & ssList(v9) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (ssList(v9) = 0) | ~ (app(v12, v10) = v11) | ~ (app(v9, v10) = v11) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (ssList(v9) = 0) | ~ (app(v10, v12) = v11) | ~ (app(v10, v9) = v11) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (gt(v9, v11) = v12) | ~ (gt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (gt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v9, v11) = v12) | ~ (geq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (geq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v9, v11) = v12) | ~ (lt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (lt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v9, v11) = v12) | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (lt(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v9, v11) = v12) | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssItem(v10) = v13) | (leq(v10, v11) = v14 & ssItem(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (segmentP(v9, v11) = v12) | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (segmentP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (rearsegP(v9, v11) = v12) | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (rearsegP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (frontsegP(v9, v11) = v12) | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v10) = v13) | (frontsegP(v10, v11) = v14 & ssList(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (rearsegP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v12, v10) = v9) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (frontsegP(v9, v10) = v11) | ~ (ssList(v9) = 0) | ~ (app(v10, v12) = v9) | ? [v13] : (( ~ (v13 = 0) & ssList(v12) = v13) | ( ~ (v13 = 0) & ssList(v10) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (gt(v12, v11) = v10) | ~ (gt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (geq(v12, v11) = v10) | ~ (geq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (lt(v12, v11) = v10) | ~ (lt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (leq(v12, v11) = v10) | ~ (leq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (segmentP(v12, v11) = v10) | ~ (segmentP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (rearsegP(v12, v11) = v10) | ~ (rearsegP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (frontsegP(v12, v11) = v10) | ~ (frontsegP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (memberP(v12, v11) = v10) | ~ (memberP(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (cons(v12, v11) = v10) | ~ (cons(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (app(v12, v11) = v10) | ~ (app(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (neq(v12, v11) = v10) | ~ (neq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = nil | ~ (tl(v9) = v10) | ~ (app(v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (( ~ (v13 = 0) & ssList(v9) = v13) | (tl(v14) = v15 & ssList(v11) = v13 & app(v9, v11) = v14 & ( ~ (v13 = 0) | v15 = v12)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = nil | ~ (hd(v9) = v10) | ~ (app(v9, v11) = v12) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (hd(v12) = v14 & ssList(v11) = v13 & ( ~ (v13 = 0) | v14 = v10)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (hd(v10) = v11) | ~ (lt(v9, v11) = v12) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (strictorderedP(v14) = v15 & strictorderedP(v10) = v16 & ssList(v10) = v13 & cons(v9, v10) = v14 & ( ~ (v13 = 0) | (( ~ (v15 = 0) | v10 = nil | (v16 = 0 & v12 = 0)) & (v15 = 0 | ( ~ (v10 = nil) & ( ~ (v16 = 0) | ~ (v12 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (hd(v10) = v11) | ~ (leq(v9, v11) = v12) | ~ (ssItem(v9) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (totalorderedP(v14) = v15 & totalorderedP(v10) = v16 & ssList(v10) = v13 & cons(v9, v10) = v14 & ( ~ (v13 = 0) | (( ~ (v15 = 0) | v10 = nil | (v16 = 0 & v12 = 0)) & (v15 = 0 | ( ~ (v10 = nil) & ( ~ (v16 = 0) | ~ (v12 = 0)))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (strictorderP(v9) = 0) | ~ (lt(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (lt(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | v12 = 0 | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (totalorderP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (leq(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = 0 | v12 = 0 | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cyclefreeP(v9) = 0) | ~ (leq(v10, v11) = v12) | ~ (ssItem(v10) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & ssList(v9) = v13) | (leq(v11, v10) = v14 & ssItem(v11) = v13 & ( ~ (v13 = 0) | ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (v14 = 0) | ~ (v12 = 0) | ~ (ssList(v15) = 0) | ~ (cons(v11, v19) = v20) | ~ (cons(v10, v16) = v17) | ~ (app(v18, v20) = v9) | ~ (app(v15, v17) = v18) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, nil) = v11) | ~ (app(v11, v9) = v12) | ? [v13] : ? [v14] : (cons(v10, v9) = v14 & ssItem(v10) = v13 & ( ~ (v13 = 0) | v14 = v12))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (lt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v9, v10) = v13 & ssItem(v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (ssList(v9) = 0) | ~ (neq(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & ssList(v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (neq(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ( ~ (v12 = 0) & ssItem(v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (tl(v11) = v10) | ~ (tl(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (hd(v11) = v10) | ~ (hd(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (equalelemsP(v11) = v10) | ~ (equalelemsP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (duplicatefreeP(v11) = v10) | ~ (duplicatefreeP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (strictorderedP(v11) = v10) | ~ (strictorderedP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (totalorderedP(v11) = v10) | ~ (totalorderedP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (strictorderP(v11) = v10) | ~ (strictorderP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (totalorderP(v11) = v10) | ~ (totalorderP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cyclefreeP(v11) = v10) | ~ (cyclefreeP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (singletonP(v11) = v10) | ~ (singletonP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (ssList(v11) = v10) | ~ (ssList(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (ssItem(v11) = v10) | ~ (ssItem(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (singletonP(v9) = v10) | ~ (cons(v11, nil) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v9) = v12) | ( ~ (v12 = 0) & ssItem(v11) = v12))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (gt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (lt(v10, v9) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0) & ( ~ (v11 = 0) | v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (geq(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v10, v9) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0) & ( ~ (v11 = 0) | v13 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (lt(v9, v10) = v11) | ~ (ssItem(v9) = 0) | ? [v12] : ? [v13] : (leq(v9, v10) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | v11 = 0 | v10 = v9) & ( ~ (v11 = 0) | (v13 = 0 & ~ (v10 = v9))))))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (tl(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = v9))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (hd(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = v10))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v11) | ? [v12] : ? [v13] : (ssList(v11) = v13 & ssItem(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (ssList(v9) = 0) | ~ (app(v9, v10) = v11) | ? [v12] : ? [v13] : (ssList(v11) = v13 & ssList(v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (geq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (geq(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (leq(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (leq(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (segmentP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (rearsegP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : (frontsegP(v10, v9) = v12 & ssList(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (app(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = v9 | ~ (app(nil, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = nil | ~ (ssList(v9) = 0) | ~ (app(v9, v10) = nil) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (geq(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssItem(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (equalelemsP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = v9 & v18 = 0 & v16 = 0 & v14 = 0 & v12 = 0 & ~ (v13 = v11) & ssList(v17) = 0 & ssList(v15) = 0 & cons(v13, v17) = v19 & cons(v11, v19) = v20 & app(v15, v20) = v9 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (duplicatefreeP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v9 & v22 = 0 & v18 = 0 & v16 = 0 & v14 = 0 & v13 = v11 & v12 = 0 & ssList(v21) = 0 & ssList(v17) = 0 & ssList(v15) = 0 & cons(v11, v21) = v23 & cons(v11, v17) = v19 & app(v20, v23) = v9 & app(v15, v19) = v20 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (strictorderedP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v9 & v23 = 0 & v19 = 0 & v17 = 0 & v14 = 0 & v12 = 0 & ~ (v15 = 0) & lt(v11, v13) = v15 & ssList(v22) = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v13, v22) = v24 & cons(v11, v18) = v20 & app(v21, v24) = v9 & app(v16, v20) = v21 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (totalorderedP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v9 & v23 = 0 & v19 = 0 & v17 = 0 & v14 = 0 & v12 = 0 & ~ (v15 = 0) & leq(v11, v13) = v15 & ssList(v22) = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v13, v22) = v24 & cons(v11, v18) = v20 & app(v21, v24) = v9 & app(v16, v20) = v21 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (strictorderP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v14 = 0 & v12 = 0 & ~ (v16 = 0) & ~ (v15 = 0) & lt(v13, v11) = v16 & lt(v11, v13) = v15 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (totalorderP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v14 = 0 & v12 = 0 & ~ (v16 = 0) & ~ (v15 = 0) & leq(v13, v11) = v16 & leq(v11, v13) = v15 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cyclefreeP(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v9 & v24 = 0 & v20 = 0 & v18 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & v12 = 0 & leq(v13, v11) = 0 & leq(v11, v13) = 0 & ssList(v23) = 0 & ssList(v19) = 0 & ssList(v17) = 0 & cons(v13, v23) = v25 & cons(v11, v19) = v21 & app(v22, v25) = v9 & app(v17, v21) = v22 & ssItem(v13) = 0 & ssItem(v11) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (leq(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssItem(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (segmentP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (segmentP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (rearsegP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (rearsegP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (frontsegP(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (frontsegP(v9, nil) = v10) | ? [v11] : ( ~ (v11 = 0) & ssList(v9) = v11)) & ! [v9] : ! [v10] : (v9 = nil | ~ (tl(v9) = v10) | ? [v11] : ? [v12] : (ssList(v10) = v12 & ssList(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : (v9 = nil | ~ (tl(v9) = v10) | ? [v11] : ? [v12] : ((v12 = 0 & v11 = v10 & ssList(v10) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v9 = nil | ~ (hd(v9) = v10) | ? [v11] : ? [v12] : (ssList(v9) = v11 & ssItem(v10) = v12 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : (v9 = nil | ~ (hd(v9) = v10) | ? [v11] : ? [v12] : ((v12 = 0 & v11 = v10 & ssItem(v10) = 0) | ( ~ (v11 = 0) & ssList(v9) = v11))) & ! [v9] : ! [v10] : (v9 = nil | ~ (ssList(v9) = 0) | ~ (app(v9, v10) = nil) | ? [v11] : ( ~ (v11 = 0) & ssList(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (gt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (gt(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : ( ~ (tl(v9) = v10) | ? [v11] : ? [v12] : (hd(v9) = v12 & ssList(v9) = v11 & ( ~ (v11 = 0) | ! [v13] : (v13 = v9 | v13 = nil | v9 = nil | ~ (tl(v13) = v10) | ? [v14] : ? [v15] : (hd(v13) = v15 & ssList(v13) = v14 & ( ~ (v15 = v12) | ~ (v14 = 0))))))) & ! [v9] : ! [v10] : ( ~ (lt(v9, v10) = 0) | ~ (ssItem(v9) = 0) | ? [v11] : ? [v12] : (lt(v10, v9) = v12 & ssItem(v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : ( ~ (segmentP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v9 & v15 = 0 & v12 = 0 & ssList(v14) = 0 & ssList(v11) = 0 & app(v13, v14) = v9 & app(v11, v10) = v13) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (rearsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v9 & v12 = 0 & ssList(v11) = 0 & app(v11, v10) = v9) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (frontsegP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v9 & v12 = 0 & ssList(v11) = 0 & app(v10, v11) = v9) | ( ~ (v11 = 0) & ssList(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (memberP(v9, v10) = 0) | ~ (ssList(v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v9 & v14 = 0 & v12 = 0 & ssList(v13) = 0 & ssList(v11) = 0 & cons(v10, v13) = v15 & app(v11, v15) = v9) | ( ~ (v11 = 0) & ssItem(v10) = v11))) & ! [v9] : ! [v10] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = v9) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (ssList(v9) = 0) | ~ (cons(v10, v9) = nil) | ? [v11] : ( ~ (v11 = 0) & ssItem(v10) = v11)) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (equalelemsP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (duplicatefreeP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (strictorderedP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (totalorderedP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (strictorderP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (totalorderP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (cons(v9, nil) = v10) | ? [v11] : ? [v12] : (cyclefreeP(v10) = v12 & ssItem(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : (v9 = nil | ~ (segmentP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (rearsegP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (frontsegP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssList(v9) = v10)) & ! [v9] : (v9 = nil | ~ (ssList(v9) = 0) | ? [v10] : ? [v11] : (ssList(v10) = 0 & cons(v11, v10) = v9 & ssItem(v11) = 0)) & ! [v9] : (v9 = nil | ~ (app(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (segmentP(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (rearsegP(nil, nil) = v9)) & ! [v9] : (v9 = 0 | ~ (frontsegP(nil, nil) = v9)) & ! [v9] : ( ~ (lt(v9, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssItem(v9) = v10)) & ! [v9] : ( ~ (singletonP(v9) = 0) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v9 & v11 = 0 & cons(v10, nil) = v9 & ssItem(v10) = 0) | ( ~ (v10 = 0) & ssList(v9) = v10))) & ! [v9] : ( ~ (memberP(nil, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & ssItem(v9) = v10)) & ! [v9] : ( ~ (ssList(v9) = 0) | ~ (neq(v9, v9) = 0)) & ! [v9] : ( ~ (cons(v9, nil) = v1) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = 0 & v12 = 0 & v11 = 0 & ~ (v10 = v9) & leq(v9, v10) = 0 & memberP(v2, v10) = 0 & ssItem(v10) = 0) | (memberP(v2, v9) = v11 & ssItem(v9) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [v9] : ( ~ (neq(v9, v9) = 0) | ~ (ssItem(v9) = 0)) & ( ~ (v2 = nil) | ~ (v1 = nil)) & ((v6 = 0 & v5 = v1 & v4 = 0 & memberP(v2, v3) = 0 & cons(v3, nil) = v1 & ssItem(v3) = 0 & ! [v9] : (v9 = v3 | ~ (memberP(v2, v9) = 0) | ? [v10] : ? [v11] : (leq(v3, v9) = v11 & ssItem(v9) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) | (v2 = nil & v1 = nil)))
% 27.04/7.79 | 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 yields:
% 27.04/7.79 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_8_8 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_8_8 & ssList(all_0_6_6) = 0 & ssList(all_0_7_7) = 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] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (cons(v0, nil) = all_0_7_7) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & v2 = 0 & ~ (v1 = v0) & leq(v0, v1) = 0 & memberP(all_0_6_6, v1) = 0 & ssItem(v1) = 0) | (memberP(all_0_6_6, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & ( ~ (all_0_6_6 = nil) | ~ (all_0_7_7 = nil)) & ((all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_6_6 = nil & all_0_7_7 = nil))
% 27.04/7.82 |
% 27.04/7.82 | Applying alpha-rule on (1) yields:
% 27.04/7.82 | (2) ! [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)))))))
% 27.04/7.82 | (3) ! [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)))))))
% 27.04/7.82 | (4) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 27.04/7.82 | (5) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.04/7.82 | (6) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 27.04/7.82 | (7) ! [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)))))))
% 27.04/7.82 | (8) ! [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)))
% 27.04/7.82 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 27.04/7.82 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 27.04/7.82 | (11) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 27.04/7.82 | (12) ! [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)))
% 27.04/7.82 | (13) (all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_6_6 = nil & all_0_7_7 = nil)
% 27.04/7.82 | (14) ! [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))))
% 27.04/7.82 | (15) ! [v0] : ( ~ (cons(v0, nil) = all_0_7_7) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & v2 = 0 & ~ (v1 = v0) & leq(v0, v1) = 0 & memberP(all_0_6_6, v1) = 0 & ssItem(v1) = 0) | (memberP(all_0_6_6, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))
% 27.04/7.82 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 27.04/7.82 | (17) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 27.04/7.82 | (18) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 27.04/7.82 | (19) ! [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)))
% 27.04/7.82 | (20) ssList(all_0_6_6) = 0
% 27.04/7.82 | (21) ! [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)))
% 27.04/7.82 | (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)))
% 27.04/7.83 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5))))
% 27.04/7.83 | (24) ! [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))))))))
% 27.04/7.83 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 27.04/7.83 | (26) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 27.04/7.83 | (27) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 27.04/7.83 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 27.04/7.83 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 27.04/7.83 | (30) cyclefreeP(nil) = 0
% 27.04/7.83 | (31) ! [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)))
% 27.04/7.83 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 27.04/7.83 | (33) ! [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)))
% 27.04/7.83 | (34) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 27.40/7.83 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10)))
% 27.40/7.83 | (36) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 27.40/7.83 | (37) totalorderedP(nil) = 0
% 27.40/7.83 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 27.40/7.83 | (39) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 27.40/7.83 | (40) ~ (all_0_6_6 = nil) | ~ (all_0_7_7 = nil)
% 27.40/7.83 | (41) ! [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)))
% 27.40/7.83 | (42) ! [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))))
% 27.40/7.83 | (43) ! [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)))
% 27.40/7.83 | (44) ! [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)))
% 27.40/7.83 | (45) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 27.40/7.83 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 27.40/7.83 | (47) ! [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)))))
% 27.40/7.83 | (48) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 27.40/7.83 | (49) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 27.40/7.83 | (50) ! [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)))
% 27.40/7.83 | (51) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 27.40/7.83 | (52) ! [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)))
% 27.40/7.83 | (53) ! [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)))))))
% 27.40/7.83 | (54) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.40/7.83 | (55) ! [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)))
% 27.40/7.83 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 27.40/7.83 | (57) ! [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))))
% 27.40/7.84 | (58) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 27.40/7.84 | (59) ! [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))))
% 27.40/7.84 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 27.40/7.84 | (61) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 27.40/7.84 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 27.40/7.84 | (63) ! [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)))
% 27.40/7.84 | (64) ! [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)))
% 27.40/7.84 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 27.40/7.84 | (66) strictorderP(nil) = 0
% 27.40/7.84 | (67) ! [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)))))
% 27.40/7.84 | (68) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 27.40/7.84 | (69) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.40/7.84 | (70) ! [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)))))
% 27.40/7.84 | (71) ! [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))))))))
% 27.40/7.84 | (72) ! [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)))
% 27.40/7.84 | (73) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 27.40/7.84 | (74) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 27.40/7.84 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 27.40/7.84 | (76) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 27.40/7.84 | (77) ! [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)))
% 27.40/7.84 | (78) ! [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)))
% 27.40/7.84 | (79) ! [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)))))))
% 27.40/7.84 | (80) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 27.40/7.84 | (81) ! [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)))
% 27.40/7.84 | (82) ! [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)))))
% 27.40/7.84 | (83) ! [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)))))
% 27.40/7.84 | (84) ! [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)))
% 27.40/7.84 | (85) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.40/7.84 | (86) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.40/7.84 | (87) ! [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)))))))
% 27.40/7.84 | (88) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 27.40/7.84 | (89) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 27.40/7.84 | (90) ssList(nil) = 0
% 27.40/7.84 | (91) ! [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)))))
% 27.40/7.85 | (92) duplicatefreeP(nil) = 0
% 27.40/7.85 | (93) ! [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)))))
% 27.40/7.85 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 27.40/7.85 | (95) ! [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)))
% 27.40/7.85 | (96) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 27.40/7.85 | (97) ! [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)))
% 27.40/7.85 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 27.40/7.85 | (99) ~ (all_0_8_8 = 0)
% 27.40/7.85 | (100) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 27.40/7.85 | (101) ! [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)))
% 27.40/7.85 | (102) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 27.40/7.85 | (103) ! [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)))))
% 27.40/7.85 | (104) ssList(all_0_7_7) = 0
% 27.40/7.85 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 27.40/7.85 | (106) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.40/7.85 | (107) ! [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)))
% 27.40/7.85 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 27.40/7.85 | (109) ! [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)))))
% 27.40/7.85 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 27.40/7.85 | (111) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 27.40/7.85 | (112) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 27.40/7.85 | (113) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 27.40/7.85 | (114) strictorderedP(nil) = 0
% 27.40/7.85 | (115) ! [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)))))))
% 27.40/7.85 | (116) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 27.40/7.85 | (117) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 27.40/7.85 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 27.40/7.85 | (119) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 27.40/7.85 | (120) ! [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)))
% 27.40/7.85 | (121) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 27.40/7.85 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 27.40/7.85 | (123) ! [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)))
% 27.40/7.85 | (124) ! [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)))))
% 27.40/7.85 | (125) ssItem(all_0_0_0) = 0
% 27.40/7.85 | (126) totalorderP(nil) = 0
% 27.40/7.85 | (127) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 27.40/7.85 | (128) ! [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))))))))
% 27.40/7.85 | (129) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 27.40/7.85 | (130) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 27.40/7.85 | (131) ssItem(all_0_1_1) = 0
% 27.40/7.85 | (132) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 27.40/7.85 | (133) equalelemsP(nil) = 0
% 27.40/7.85 | (134) ~ (all_0_0_0 = all_0_1_1)
% 27.40/7.86 | (135) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 27.40/7.86 | (136) singletonP(nil) = all_0_8_8
% 27.40/7.86 | (137) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 27.40/7.86 | (138) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 27.40/7.86 | (139) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.40/7.86 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 27.40/7.86 | (141) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 27.40/7.86 | (142) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 27.40/7.86 | (143) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 27.40/7.86 | (144) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 27.40/7.86 | (145) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.40/7.86 | (146) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 27.40/7.86 | (147) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 27.40/7.86 |
% 27.40/7.86 +-Applying beta-rule and splitting (40), into two cases.
% 27.40/7.86 |-Branch one:
% 27.40/7.86 | (148) ~ (all_0_6_6 = nil)
% 27.40/7.86 |
% 27.40/7.86 +-Applying beta-rule and splitting (13), into two cases.
% 27.40/7.86 |-Branch one:
% 27.40/7.86 | (149) all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 27.40/7.86 |
% 27.40/7.86 | Applying alpha-rule on (149) yields:
% 27.40/7.86 | (150) all_0_4_4 = 0
% 27.40/7.86 | (151) all_0_2_2 = 0
% 27.40/7.86 | (152) memberP(all_0_6_6, all_0_5_5) = 0
% 27.40/7.86 | (153) cons(all_0_5_5, nil) = all_0_7_7
% 27.40/7.86 | (154) ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 27.40/7.86 | (155) ssItem(all_0_5_5) = 0
% 27.40/7.86 | (156) all_0_3_3 = all_0_7_7
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (89) with all_0_7_7, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (157) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (142) with all_0_7_7, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (158) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = all_0_5_5))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (15) with all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (159) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & ~ (v0 = all_0_5_5) & leq(all_0_5_5, v0) = 0 & memberP(all_0_6_6, v0) = 0 & ssItem(v0) = 0) | (memberP(all_0_6_6, all_0_5_5) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (139) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (160) ? [v0] : ? [v1] : (equalelemsP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (106) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (161) ? [v0] : ? [v1] : (duplicatefreeP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (85) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (162) ? [v0] : ? [v1] : (strictorderedP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (5) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (163) ? [v0] : ? [v1] : (totalorderedP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (54) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (164) ? [v0] : ? [v1] : (strictorderP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (86) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (165) ? [v0] : ? [v1] : (totalorderP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating formula (69) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.40/7.86 | (166) ? [v0] : ? [v1] : (cyclefreeP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.40/7.86 |
% 27.40/7.86 | Instantiating (166) with all_28_0_13, all_28_1_14 yields:
% 27.40/7.86 | (167) cyclefreeP(all_0_7_7) = all_28_0_13 & ssItem(all_0_5_5) = all_28_1_14 & ( ~ (all_28_1_14 = 0) | all_28_0_13 = 0)
% 27.40/7.86 |
% 27.40/7.86 | Applying alpha-rule on (167) yields:
% 27.40/7.86 | (168) cyclefreeP(all_0_7_7) = all_28_0_13
% 27.40/7.86 | (169) ssItem(all_0_5_5) = all_28_1_14
% 27.40/7.86 | (170) ~ (all_28_1_14 = 0) | all_28_0_13 = 0
% 27.40/7.86 |
% 27.40/7.86 | Instantiating (164) with all_30_0_15, all_30_1_16 yields:
% 27.40/7.86 | (171) strictorderP(all_0_7_7) = all_30_0_15 & ssItem(all_0_5_5) = all_30_1_16 & ( ~ (all_30_1_16 = 0) | all_30_0_15 = 0)
% 27.40/7.86 |
% 27.40/7.86 | Applying alpha-rule on (171) yields:
% 27.40/7.86 | (172) strictorderP(all_0_7_7) = all_30_0_15
% 27.40/7.86 | (173) ssItem(all_0_5_5) = all_30_1_16
% 27.40/7.86 | (174) ~ (all_30_1_16 = 0) | all_30_0_15 = 0
% 27.40/7.86 |
% 27.40/7.86 | Instantiating (162) with all_32_0_17, all_32_1_18 yields:
% 27.40/7.86 | (175) strictorderedP(all_0_7_7) = all_32_0_17 & ssItem(all_0_5_5) = all_32_1_18 & ( ~ (all_32_1_18 = 0) | all_32_0_17 = 0)
% 27.40/7.86 |
% 27.40/7.86 | Applying alpha-rule on (175) yields:
% 27.40/7.86 | (176) strictorderedP(all_0_7_7) = all_32_0_17
% 27.40/7.86 | (177) ssItem(all_0_5_5) = all_32_1_18
% 27.40/7.86 | (178) ~ (all_32_1_18 = 0) | all_32_0_17 = 0
% 27.40/7.86 |
% 27.40/7.86 | Instantiating (157) with all_34_0_19, all_34_1_20 yields:
% 27.40/7.86 | (179) tl(all_0_7_7) = all_34_0_19 & ssItem(all_0_5_5) = all_34_1_20 & ( ~ (all_34_1_20 = 0) | all_34_0_19 = nil)
% 27.40/7.86 |
% 27.40/7.86 | Applying alpha-rule on (179) yields:
% 27.40/7.86 | (180) tl(all_0_7_7) = all_34_0_19
% 27.40/7.86 | (181) ssItem(all_0_5_5) = all_34_1_20
% 27.40/7.86 | (182) ~ (all_34_1_20 = 0) | all_34_0_19 = nil
% 27.40/7.86 |
% 27.40/7.86 | Instantiating (163) with all_36_0_21, all_36_1_22 yields:
% 27.40/7.86 | (183) totalorderedP(all_0_7_7) = all_36_0_21 & ssItem(all_0_5_5) = all_36_1_22 & ( ~ (all_36_1_22 = 0) | all_36_0_21 = 0)
% 27.40/7.86 |
% 27.40/7.86 | Applying alpha-rule on (183) yields:
% 27.40/7.86 | (184) totalorderedP(all_0_7_7) = all_36_0_21
% 27.40/7.86 | (185) ssItem(all_0_5_5) = all_36_1_22
% 27.40/7.86 | (186) ~ (all_36_1_22 = 0) | all_36_0_21 = 0
% 27.40/7.86 |
% 27.40/7.86 | Instantiating (160) with all_38_0_23, all_38_1_24 yields:
% 27.40/7.86 | (187) equalelemsP(all_0_7_7) = all_38_0_23 & ssItem(all_0_5_5) = all_38_1_24 & ( ~ (all_38_1_24 = 0) | all_38_0_23 = 0)
% 27.40/7.86 |
% 27.40/7.86 | Applying alpha-rule on (187) yields:
% 27.40/7.86 | (188) equalelemsP(all_0_7_7) = all_38_0_23
% 27.40/7.86 | (189) ssItem(all_0_5_5) = all_38_1_24
% 27.40/7.86 | (190) ~ (all_38_1_24 = 0) | all_38_0_23 = 0
% 27.40/7.86 |
% 27.40/7.86 | Instantiating (158) with all_40_0_25, all_40_1_26 yields:
% 27.40/7.86 | (191) hd(all_0_7_7) = all_40_0_25 & ssItem(all_0_5_5) = all_40_1_26 & ( ~ (all_40_1_26 = 0) | all_40_0_25 = all_0_5_5)
% 27.40/7.86 |
% 27.40/7.86 | Applying alpha-rule on (191) yields:
% 27.40/7.86 | (192) hd(all_0_7_7) = all_40_0_25
% 27.40/7.86 | (193) ssItem(all_0_5_5) = all_40_1_26
% 27.40/7.86 | (194) ~ (all_40_1_26 = 0) | all_40_0_25 = all_0_5_5
% 27.40/7.86 |
% 27.40/7.86 | Instantiating (161) with all_47_0_37, all_47_1_38 yields:
% 27.40/7.86 | (195) duplicatefreeP(all_0_7_7) = all_47_0_37 & ssItem(all_0_5_5) = all_47_1_38 & ( ~ (all_47_1_38 = 0) | all_47_0_37 = 0)
% 27.40/7.87 |
% 27.40/7.87 | Applying alpha-rule on (195) yields:
% 27.40/7.87 | (196) duplicatefreeP(all_0_7_7) = all_47_0_37
% 27.40/7.87 | (197) ssItem(all_0_5_5) = all_47_1_38
% 27.40/7.87 | (198) ~ (all_47_1_38 = 0) | all_47_0_37 = 0
% 27.40/7.87 |
% 27.40/7.87 | Instantiating (165) with all_49_0_39, all_49_1_40 yields:
% 27.40/7.87 | (199) totalorderP(all_0_7_7) = all_49_0_39 & ssItem(all_0_5_5) = all_49_1_40 & ( ~ (all_49_1_40 = 0) | all_49_0_39 = 0)
% 27.40/7.87 |
% 27.40/7.87 | Applying alpha-rule on (199) yields:
% 27.40/7.87 | (200) totalorderP(all_0_7_7) = all_49_0_39
% 27.40/7.87 | (201) ssItem(all_0_5_5) = all_49_1_40
% 27.40/7.87 | (202) ~ (all_49_1_40 = 0) | all_49_0_39 = 0
% 27.40/7.87 |
% 27.40/7.87 | Instantiating (159) with all_51_0_41, all_51_1_42, all_51_2_43, all_51_3_44 yields:
% 27.40/7.87 | (203) (all_51_0_41 = 0 & all_51_1_42 = 0 & all_51_2_43 = 0 & ~ (all_51_3_44 = all_0_5_5) & leq(all_0_5_5, all_51_3_44) = 0 & memberP(all_0_6_6, all_51_3_44) = 0 & ssItem(all_51_3_44) = 0) | (memberP(all_0_6_6, all_0_5_5) = all_51_2_43 & ssItem(all_0_5_5) = all_51_3_44 & ( ~ (all_51_2_43 = 0) | ~ (all_51_3_44 = 0)))
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_47_1_38, all_49_1_40 and discharging atoms ssItem(all_0_5_5) = all_49_1_40, ssItem(all_0_5_5) = all_47_1_38, yields:
% 27.40/7.87 | (204) all_49_1_40 = all_47_1_38
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_40_1_26, 0 and discharging atoms ssItem(all_0_5_5) = all_40_1_26, ssItem(all_0_5_5) = 0, yields:
% 27.40/7.87 | (205) all_40_1_26 = 0
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_38_1_24, all_49_1_40 and discharging atoms ssItem(all_0_5_5) = all_49_1_40, ssItem(all_0_5_5) = all_38_1_24, yields:
% 27.40/7.87 | (206) all_49_1_40 = all_38_1_24
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_36_1_22, all_38_1_24 and discharging atoms ssItem(all_0_5_5) = all_38_1_24, ssItem(all_0_5_5) = all_36_1_22, yields:
% 27.40/7.87 | (207) all_38_1_24 = all_36_1_22
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_34_1_20, all_36_1_22 and discharging atoms ssItem(all_0_5_5) = all_36_1_22, ssItem(all_0_5_5) = all_34_1_20, yields:
% 27.40/7.87 | (208) all_36_1_22 = all_34_1_20
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_32_1_18, all_40_1_26 and discharging atoms ssItem(all_0_5_5) = all_40_1_26, ssItem(all_0_5_5) = all_32_1_18, yields:
% 27.40/7.87 | (209) all_40_1_26 = all_32_1_18
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_32_1_18, all_34_1_20 and discharging atoms ssItem(all_0_5_5) = all_34_1_20, ssItem(all_0_5_5) = all_32_1_18, yields:
% 27.40/7.87 | (210) all_34_1_20 = all_32_1_18
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_30_1_16, all_49_1_40 and discharging atoms ssItem(all_0_5_5) = all_49_1_40, ssItem(all_0_5_5) = all_30_1_16, yields:
% 27.40/7.87 | (211) all_49_1_40 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (46) with all_0_5_5, all_28_1_14, all_34_1_20 and discharging atoms ssItem(all_0_5_5) = all_34_1_20, ssItem(all_0_5_5) = all_28_1_14, yields:
% 27.40/7.87 | (212) all_34_1_20 = all_28_1_14
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (206,204) yields a new equation:
% 27.40/7.87 | (213) all_47_1_38 = all_38_1_24
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (211,204) yields a new equation:
% 27.40/7.87 | (214) all_47_1_38 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (213,214) yields a new equation:
% 27.40/7.87 | (215) all_38_1_24 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Simplifying 215 yields:
% 27.40/7.87 | (216) all_38_1_24 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (209,205) yields a new equation:
% 27.40/7.87 | (217) all_32_1_18 = 0
% 27.40/7.87 |
% 27.40/7.87 | Simplifying 217 yields:
% 27.40/7.87 | (218) all_32_1_18 = 0
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (207,216) yields a new equation:
% 27.40/7.87 | (219) all_36_1_22 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Simplifying 219 yields:
% 27.40/7.87 | (220) all_36_1_22 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (208,220) yields a new equation:
% 27.40/7.87 | (221) all_34_1_20 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Simplifying 221 yields:
% 27.40/7.87 | (222) all_34_1_20 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (210,222) yields a new equation:
% 27.40/7.87 | (223) all_32_1_18 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Simplifying 223 yields:
% 27.40/7.87 | (224) all_32_1_18 = all_30_1_16
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (212,222) yields a new equation:
% 27.40/7.87 | (225) all_30_1_16 = all_28_1_14
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (224,218) yields a new equation:
% 27.40/7.87 | (226) all_30_1_16 = 0
% 27.40/7.87 |
% 27.40/7.87 | Simplifying 226 yields:
% 27.40/7.87 | (227) all_30_1_16 = 0
% 27.40/7.87 |
% 27.40/7.87 | Combining equations (227,225) yields a new equation:
% 27.40/7.87 | (228) all_28_1_14 = 0
% 27.40/7.87 |
% 27.40/7.87 | From (228) and (169) follows:
% 27.40/7.87 | (155) ssItem(all_0_5_5) = 0
% 27.40/7.87 |
% 27.40/7.87 +-Applying beta-rule and splitting (203), into two cases.
% 27.40/7.87 |-Branch one:
% 27.40/7.87 | (230) all_51_0_41 = 0 & all_51_1_42 = 0 & all_51_2_43 = 0 & ~ (all_51_3_44 = all_0_5_5) & leq(all_0_5_5, all_51_3_44) = 0 & memberP(all_0_6_6, all_51_3_44) = 0 & ssItem(all_51_3_44) = 0
% 27.40/7.87 |
% 27.40/7.87 | Applying alpha-rule on (230) yields:
% 27.40/7.87 | (231) ssItem(all_51_3_44) = 0
% 27.40/7.87 | (232) memberP(all_0_6_6, all_51_3_44) = 0
% 27.40/7.87 | (233) all_51_0_41 = 0
% 27.40/7.87 | (234) leq(all_0_5_5, all_51_3_44) = 0
% 27.40/7.87 | (235) all_51_2_43 = 0
% 27.40/7.87 | (236) ~ (all_51_3_44 = all_0_5_5)
% 27.40/7.87 | (237) all_51_1_42 = 0
% 27.40/7.87 |
% 27.40/7.87 | Instantiating formula (154) with all_51_3_44 and discharging atoms memberP(all_0_6_6, all_51_3_44) = 0, yields:
% 27.40/7.87 | (238) all_51_3_44 = all_0_5_5 | ? [v0] : ? [v1] : (leq(all_0_5_5, all_51_3_44) = v1 & ssItem(all_51_3_44) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 27.40/7.87 |
% 27.40/7.87 +-Applying beta-rule and splitting (238), into two cases.
% 27.40/7.87 |-Branch one:
% 27.40/7.87 | (239) all_51_3_44 = all_0_5_5
% 27.40/7.87 |
% 27.40/7.87 | Equations (239) can reduce 236 to:
% 27.40/7.87 | (240) $false
% 27.40/7.87 |
% 27.40/7.87 |-The branch is then unsatisfiable
% 27.40/7.87 |-Branch two:
% 27.40/7.87 | (236) ~ (all_51_3_44 = all_0_5_5)
% 27.40/7.87 | (242) ? [v0] : ? [v1] : (leq(all_0_5_5, all_51_3_44) = v1 & ssItem(all_51_3_44) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 27.40/7.87 |
% 27.40/7.87 | Instantiating (242) with all_158_0_83, all_158_1_84 yields:
% 27.40/7.87 | (243) leq(all_0_5_5, all_51_3_44) = all_158_0_83 & ssItem(all_51_3_44) = all_158_1_84 & ( ~ (all_158_0_83 = 0) | ~ (all_158_1_84 = 0))
% 27.40/7.87 |
% 27.40/7.87 | Applying alpha-rule on (243) yields:
% 27.40/7.87 | (244) leq(all_0_5_5, all_51_3_44) = all_158_0_83
% 27.40/7.87 | (245) ssItem(all_51_3_44) = all_158_1_84
% 27.40/7.87 | (246) ~ (all_158_0_83 = 0) | ~ (all_158_1_84 = 0)
% 27.60/7.87 |
% 27.60/7.87 | Instantiating formula (118) with all_0_5_5, all_51_3_44, all_158_0_83, 0 and discharging atoms leq(all_0_5_5, all_51_3_44) = all_158_0_83, leq(all_0_5_5, all_51_3_44) = 0, yields:
% 27.60/7.87 | (247) all_158_0_83 = 0
% 27.60/7.87 |
% 27.60/7.87 | Instantiating formula (46) with all_51_3_44, all_158_1_84, 0 and discharging atoms ssItem(all_51_3_44) = all_158_1_84, ssItem(all_51_3_44) = 0, yields:
% 27.60/7.87 | (248) all_158_1_84 = 0
% 27.60/7.87 |
% 27.60/7.87 +-Applying beta-rule and splitting (246), into two cases.
% 27.60/7.87 |-Branch one:
% 27.60/7.87 | (249) ~ (all_158_0_83 = 0)
% 27.60/7.87 |
% 27.60/7.87 | Equations (247) can reduce 249 to:
% 27.60/7.87 | (240) $false
% 27.60/7.87 |
% 27.60/7.87 |-The branch is then unsatisfiable
% 27.60/7.87 |-Branch two:
% 27.60/7.87 | (247) all_158_0_83 = 0
% 27.60/7.87 | (252) ~ (all_158_1_84 = 0)
% 27.60/7.87 |
% 27.60/7.87 | Equations (248) can reduce 252 to:
% 27.60/7.87 | (240) $false
% 27.60/7.87 |
% 27.60/7.87 |-The branch is then unsatisfiable
% 27.60/7.87 |-Branch two:
% 27.60/7.87 | (254) memberP(all_0_6_6, all_0_5_5) = all_51_2_43 & ssItem(all_0_5_5) = all_51_3_44 & ( ~ (all_51_2_43 = 0) | ~ (all_51_3_44 = 0))
% 27.60/7.87 |
% 27.60/7.87 | Applying alpha-rule on (254) yields:
% 27.60/7.87 | (255) memberP(all_0_6_6, all_0_5_5) = all_51_2_43
% 27.60/7.87 | (256) ssItem(all_0_5_5) = all_51_3_44
% 27.60/7.87 | (257) ~ (all_51_2_43 = 0) | ~ (all_51_3_44 = 0)
% 27.60/7.87 |
% 27.60/7.87 | Instantiating formula (28) with all_0_6_6, all_0_5_5, all_51_2_43, 0 and discharging atoms memberP(all_0_6_6, all_0_5_5) = all_51_2_43, memberP(all_0_6_6, all_0_5_5) = 0, yields:
% 27.60/7.87 | (235) all_51_2_43 = 0
% 27.60/7.87 |
% 27.60/7.87 | Instantiating formula (46) with all_0_5_5, all_51_3_44, 0 and discharging atoms ssItem(all_0_5_5) = all_51_3_44, ssItem(all_0_5_5) = 0, yields:
% 27.60/7.87 | (259) all_51_3_44 = 0
% 27.60/7.87 |
% 27.60/7.87 +-Applying beta-rule and splitting (257), into two cases.
% 27.60/7.87 |-Branch one:
% 27.60/7.87 | (260) ~ (all_51_2_43 = 0)
% 27.60/7.87 |
% 27.60/7.87 | Equations (235) can reduce 260 to:
% 27.60/7.87 | (240) $false
% 27.60/7.87 |
% 27.60/7.87 |-The branch is then unsatisfiable
% 27.60/7.87 |-Branch two:
% 27.60/7.87 | (235) all_51_2_43 = 0
% 27.60/7.87 | (263) ~ (all_51_3_44 = 0)
% 27.60/7.87 |
% 27.60/7.87 | Equations (259) can reduce 263 to:
% 27.60/7.87 | (240) $false
% 27.60/7.87 |
% 27.60/7.87 |-The branch is then unsatisfiable
% 27.60/7.87 |-Branch two:
% 27.60/7.87 | (265) all_0_6_6 = nil & all_0_7_7 = nil
% 27.60/7.87 |
% 27.60/7.87 | Applying alpha-rule on (265) yields:
% 27.60/7.87 | (266) all_0_6_6 = nil
% 27.60/7.87 | (267) all_0_7_7 = nil
% 27.60/7.87 |
% 27.60/7.87 | Equations (266) can reduce 148 to:
% 27.60/7.88 | (240) $false
% 27.60/7.88 |
% 27.60/7.88 |-The branch is then unsatisfiable
% 27.60/7.88 |-Branch two:
% 27.60/7.88 | (266) all_0_6_6 = nil
% 27.60/7.88 | (270) ~ (all_0_7_7 = nil)
% 27.60/7.88 |
% 27.60/7.88 | From (266) and (20) follows:
% 27.60/7.88 | (90) ssList(nil) = 0
% 27.60/7.88 |
% 27.60/7.88 +-Applying beta-rule and splitting (13), into two cases.
% 27.60/7.88 |-Branch one:
% 27.60/7.88 | (149) all_0_2_2 = 0 & all_0_3_3 = all_0_7_7 & all_0_4_4 = 0 & memberP(all_0_6_6, all_0_5_5) = 0 & cons(all_0_5_5, nil) = all_0_7_7 & ssItem(all_0_5_5) = 0 & ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (149) yields:
% 27.60/7.88 | (150) all_0_4_4 = 0
% 27.60/7.88 | (151) all_0_2_2 = 0
% 27.60/7.88 | (152) memberP(all_0_6_6, all_0_5_5) = 0
% 27.60/7.88 | (153) cons(all_0_5_5, nil) = all_0_7_7
% 27.60/7.88 | (154) ! [v0] : (v0 = all_0_5_5 | ~ (memberP(all_0_6_6, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_5_5, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 27.60/7.88 | (155) ssItem(all_0_5_5) = 0
% 27.60/7.88 | (156) all_0_3_3 = all_0_7_7
% 27.60/7.88 |
% 27.60/7.88 | From (266) and (152) follows:
% 27.60/7.88 | (280) memberP(nil, all_0_5_5) = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (146) with all_0_5_5 and discharging atoms memberP(nil, all_0_5_5) = 0, yields:
% 27.60/7.88 | (281) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_5_5) = v0)
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (89) with all_0_7_7, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (157) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (142) with all_0_7_7, all_0_5_5, nil and discharging atoms ssList(nil) = 0, cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (158) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = all_0_5_5))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (139) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (160) ? [v0] : ? [v1] : (equalelemsP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (106) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (161) ? [v0] : ? [v1] : (duplicatefreeP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (85) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (162) ? [v0] : ? [v1] : (strictorderedP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (5) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (163) ? [v0] : ? [v1] : (totalorderedP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (54) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (164) ? [v0] : ? [v1] : (strictorderP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (86) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (165) ? [v0] : ? [v1] : (totalorderP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (69) with all_0_7_7, all_0_5_5 and discharging atoms cons(all_0_5_5, nil) = all_0_7_7, yields:
% 27.60/7.88 | (166) ? [v0] : ? [v1] : (cyclefreeP(all_0_7_7) = v1 & ssItem(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (166) with all_26_0_89, all_26_1_90 yields:
% 27.60/7.88 | (291) cyclefreeP(all_0_7_7) = all_26_0_89 & ssItem(all_0_5_5) = all_26_1_90 & ( ~ (all_26_1_90 = 0) | all_26_0_89 = 0)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (291) yields:
% 27.60/7.88 | (292) cyclefreeP(all_0_7_7) = all_26_0_89
% 27.60/7.88 | (293) ssItem(all_0_5_5) = all_26_1_90
% 27.60/7.88 | (294) ~ (all_26_1_90 = 0) | all_26_0_89 = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (165) with all_28_0_91, all_28_1_92 yields:
% 27.60/7.88 | (295) totalorderP(all_0_7_7) = all_28_0_91 & ssItem(all_0_5_5) = all_28_1_92 & ( ~ (all_28_1_92 = 0) | all_28_0_91 = 0)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (295) yields:
% 27.60/7.88 | (296) totalorderP(all_0_7_7) = all_28_0_91
% 27.60/7.88 | (297) ssItem(all_0_5_5) = all_28_1_92
% 27.60/7.88 | (298) ~ (all_28_1_92 = 0) | all_28_0_91 = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (162) with all_30_0_93, all_30_1_94 yields:
% 27.60/7.88 | (299) strictorderedP(all_0_7_7) = all_30_0_93 & ssItem(all_0_5_5) = all_30_1_94 & ( ~ (all_30_1_94 = 0) | all_30_0_93 = 0)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (299) yields:
% 27.60/7.88 | (300) strictorderedP(all_0_7_7) = all_30_0_93
% 27.60/7.88 | (301) ssItem(all_0_5_5) = all_30_1_94
% 27.60/7.88 | (302) ~ (all_30_1_94 = 0) | all_30_0_93 = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (161) with all_32_0_95, all_32_1_96 yields:
% 27.60/7.88 | (303) duplicatefreeP(all_0_7_7) = all_32_0_95 & ssItem(all_0_5_5) = all_32_1_96 & ( ~ (all_32_1_96 = 0) | all_32_0_95 = 0)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (303) yields:
% 27.60/7.88 | (304) duplicatefreeP(all_0_7_7) = all_32_0_95
% 27.60/7.88 | (305) ssItem(all_0_5_5) = all_32_1_96
% 27.60/7.88 | (306) ~ (all_32_1_96 = 0) | all_32_0_95 = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (164) with all_34_0_97, all_34_1_98 yields:
% 27.60/7.88 | (307) strictorderP(all_0_7_7) = all_34_0_97 & ssItem(all_0_5_5) = all_34_1_98 & ( ~ (all_34_1_98 = 0) | all_34_0_97 = 0)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (307) yields:
% 27.60/7.88 | (308) strictorderP(all_0_7_7) = all_34_0_97
% 27.60/7.88 | (309) ssItem(all_0_5_5) = all_34_1_98
% 27.60/7.88 | (310) ~ (all_34_1_98 = 0) | all_34_0_97 = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (158) with all_36_0_99, all_36_1_100 yields:
% 27.60/7.88 | (311) hd(all_0_7_7) = all_36_0_99 & ssItem(all_0_5_5) = all_36_1_100 & ( ~ (all_36_1_100 = 0) | all_36_0_99 = all_0_5_5)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (311) yields:
% 27.60/7.88 | (312) hd(all_0_7_7) = all_36_0_99
% 27.60/7.88 | (313) ssItem(all_0_5_5) = all_36_1_100
% 27.60/7.88 | (314) ~ (all_36_1_100 = 0) | all_36_0_99 = all_0_5_5
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (157) with all_38_0_101, all_38_1_102 yields:
% 27.60/7.88 | (315) tl(all_0_7_7) = all_38_0_101 & ssItem(all_0_5_5) = all_38_1_102 & ( ~ (all_38_1_102 = 0) | all_38_0_101 = nil)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (315) yields:
% 27.60/7.88 | (316) tl(all_0_7_7) = all_38_0_101
% 27.60/7.88 | (317) ssItem(all_0_5_5) = all_38_1_102
% 27.60/7.88 | (318) ~ (all_38_1_102 = 0) | all_38_0_101 = nil
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (163) with all_40_0_103, all_40_1_104 yields:
% 27.60/7.88 | (319) totalorderedP(all_0_7_7) = all_40_0_103 & ssItem(all_0_5_5) = all_40_1_104 & ( ~ (all_40_1_104 = 0) | all_40_0_103 = 0)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (319) yields:
% 27.60/7.88 | (320) totalorderedP(all_0_7_7) = all_40_0_103
% 27.60/7.88 | (321) ssItem(all_0_5_5) = all_40_1_104
% 27.60/7.88 | (322) ~ (all_40_1_104 = 0) | all_40_0_103 = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (160) with all_42_0_105, all_42_1_106 yields:
% 27.60/7.88 | (323) equalelemsP(all_0_7_7) = all_42_0_105 & ssItem(all_0_5_5) = all_42_1_106 & ( ~ (all_42_1_106 = 0) | all_42_0_105 = 0)
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (323) yields:
% 27.60/7.88 | (324) equalelemsP(all_0_7_7) = all_42_0_105
% 27.60/7.88 | (325) ssItem(all_0_5_5) = all_42_1_106
% 27.60/7.88 | (326) ~ (all_42_1_106 = 0) | all_42_0_105 = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating (281) with all_49_0_115 yields:
% 27.60/7.88 | (327) ~ (all_49_0_115 = 0) & ssItem(all_0_5_5) = all_49_0_115
% 27.60/7.88 |
% 27.60/7.88 | Applying alpha-rule on (327) yields:
% 27.60/7.88 | (328) ~ (all_49_0_115 = 0)
% 27.60/7.88 | (329) ssItem(all_0_5_5) = all_49_0_115
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_42_1_106, all_49_0_115 and discharging atoms ssItem(all_0_5_5) = all_49_0_115, ssItem(all_0_5_5) = all_42_1_106, yields:
% 27.60/7.88 | (330) all_49_0_115 = all_42_1_106
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_40_1_104, all_42_1_106 and discharging atoms ssItem(all_0_5_5) = all_42_1_106, ssItem(all_0_5_5) = all_40_1_104, yields:
% 27.60/7.88 | (331) all_42_1_106 = all_40_1_104
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_38_1_102, all_42_1_106 and discharging atoms ssItem(all_0_5_5) = all_42_1_106, ssItem(all_0_5_5) = all_38_1_102, yields:
% 27.60/7.88 | (332) all_42_1_106 = all_38_1_102
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_36_1_100, all_38_1_102 and discharging atoms ssItem(all_0_5_5) = all_38_1_102, ssItem(all_0_5_5) = all_36_1_100, yields:
% 27.60/7.88 | (333) all_38_1_102 = all_36_1_100
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_34_1_98, 0 and discharging atoms ssItem(all_0_5_5) = all_34_1_98, ssItem(all_0_5_5) = 0, yields:
% 27.60/7.88 | (334) all_34_1_98 = 0
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_32_1_96, all_38_1_102 and discharging atoms ssItem(all_0_5_5) = all_38_1_102, ssItem(all_0_5_5) = all_32_1_96, yields:
% 27.60/7.88 | (335) all_38_1_102 = all_32_1_96
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_32_1_96, all_34_1_98 and discharging atoms ssItem(all_0_5_5) = all_34_1_98, ssItem(all_0_5_5) = all_32_1_96, yields:
% 27.60/7.88 | (336) all_34_1_98 = all_32_1_96
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_30_1_94, all_32_1_96 and discharging atoms ssItem(all_0_5_5) = all_32_1_96, ssItem(all_0_5_5) = all_30_1_94, yields:
% 27.60/7.88 | (337) all_32_1_96 = all_30_1_94
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_28_1_92, all_34_1_98 and discharging atoms ssItem(all_0_5_5) = all_34_1_98, ssItem(all_0_5_5) = all_28_1_92, yields:
% 27.60/7.88 | (338) all_34_1_98 = all_28_1_92
% 27.60/7.88 |
% 27.60/7.88 | Instantiating formula (46) with all_0_5_5, all_26_1_90, all_49_0_115 and discharging atoms ssItem(all_0_5_5) = all_49_0_115, ssItem(all_0_5_5) = all_26_1_90, yields:
% 27.60/7.88 | (339) all_49_0_115 = all_26_1_90
% 27.60/7.88 |
% 27.60/7.88 | Combining equations (330,339) yields a new equation:
% 27.60/7.88 | (340) all_42_1_106 = all_26_1_90
% 27.60/7.88 |
% 27.60/7.88 | Simplifying 340 yields:
% 27.60/7.88 | (341) all_42_1_106 = all_26_1_90
% 27.60/7.88 |
% 27.60/7.88 | Combining equations (341,331) yields a new equation:
% 27.60/7.88 | (342) all_40_1_104 = all_26_1_90
% 27.60/7.88 |
% 27.60/7.88 | Combining equations (332,331) yields a new equation:
% 27.60/7.88 | (343) all_40_1_104 = all_38_1_102
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (343,342) yields a new equation:
% 27.60/7.89 | (344) all_38_1_102 = all_26_1_90
% 27.60/7.89 |
% 27.60/7.89 | Simplifying 344 yields:
% 27.60/7.89 | (345) all_38_1_102 = all_26_1_90
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (335,333) yields a new equation:
% 27.60/7.89 | (346) all_36_1_100 = all_32_1_96
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (345,333) yields a new equation:
% 27.60/7.89 | (347) all_36_1_100 = all_26_1_90
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (346,347) yields a new equation:
% 27.60/7.89 | (348) all_32_1_96 = all_26_1_90
% 27.60/7.89 |
% 27.60/7.89 | Simplifying 348 yields:
% 27.60/7.89 | (349) all_32_1_96 = all_26_1_90
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (336,338) yields a new equation:
% 27.60/7.89 | (350) all_32_1_96 = all_28_1_92
% 27.60/7.89 |
% 27.60/7.89 | Simplifying 350 yields:
% 27.60/7.89 | (351) all_32_1_96 = all_28_1_92
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (334,338) yields a new equation:
% 27.60/7.89 | (352) all_28_1_92 = 0
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (349,337) yields a new equation:
% 27.60/7.89 | (353) all_30_1_94 = all_26_1_90
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (351,337) yields a new equation:
% 27.60/7.89 | (354) all_30_1_94 = all_28_1_92
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (354,353) yields a new equation:
% 27.60/7.89 | (355) all_28_1_92 = all_26_1_90
% 27.60/7.89 |
% 27.60/7.89 | Simplifying 355 yields:
% 27.60/7.89 | (356) all_28_1_92 = all_26_1_90
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (352,356) yields a new equation:
% 27.60/7.89 | (357) all_26_1_90 = 0
% 27.60/7.89 |
% 27.60/7.89 | Combining equations (357,339) yields a new equation:
% 27.60/7.89 | (358) all_49_0_115 = 0
% 27.60/7.89 |
% 27.60/7.89 | Equations (358) can reduce 328 to:
% 27.60/7.89 | (240) $false
% 27.60/7.89 |
% 27.60/7.89 |-The branch is then unsatisfiable
% 27.60/7.89 |-Branch two:
% 27.60/7.89 | (265) all_0_6_6 = nil & all_0_7_7 = nil
% 27.60/7.89 |
% 27.60/7.89 | Applying alpha-rule on (265) yields:
% 27.60/7.89 | (266) all_0_6_6 = nil
% 27.60/7.89 | (267) all_0_7_7 = nil
% 27.60/7.89 |
% 27.60/7.89 | Equations (267) can reduce 270 to:
% 27.60/7.89 | (240) $false
% 27.60/7.89 |
% 27.60/7.89 |-The branch is then unsatisfiable
% 27.60/7.89 % SZS output end Proof for theBenchmark
% 27.60/7.89
% 27.60/7.89 7369ms
%------------------------------------------------------------------------------