TSTP Solution File: SWC009+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC009+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 20:15:41 EDT 2022
% Result : Theorem 7.05s 2.22s
% Output : Proof 13.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC009+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 07:52:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.60 ____ _
% 0.60/0.60 ___ / __ \_____(_)___ ________ __________
% 0.60/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.60
% 0.60/0.60 A Theorem Prover for First-Order Logic
% 0.60/0.60 (ePrincess v.1.0)
% 0.60/0.60
% 0.60/0.60 (c) Philipp Rümmer, 2009-2015
% 0.60/0.60 (c) Peter Backeman, 2014-2015
% 0.60/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.60 Bug reports to peter@backeman.se
% 0.60/0.61
% 0.60/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.61
% 0.60/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.26/1.15 Prover 0: Preprocessing ...
% 5.12/1.79 Prover 0: Constructing countermodel ...
% 6.57/2.22 Prover 0: proved (1533ms)
% 7.05/2.22
% 7.05/2.22 No countermodel exists, formula is valid
% 7.05/2.22 % SZS status Theorem for theBenchmark
% 7.05/2.22
% 7.05/2.22 Generating proof ... found it (size 156)
% 12.81/3.61
% 12.81/3.61 % SZS output start Proof for theBenchmark
% 12.81/3.61 Assumed formulas after preprocessing and simplification:
% 12.81/3.61 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & app(v0, v2) = v1 & equalelemsP(nil) & duplicatefreeP(nil) & strictorderedP(v0) & strictorderedP(nil) & totalorderedP(nil) & strictorderP(nil) & totalorderP(nil) & cyclefreeP(nil) & segmentP(nil, nil) & rearsegP(nil, nil) & frontsegP(nil, nil) & ssList(v2) & ssList(v1) & ssList(v0) & ssList(nil) & ssItem(v4) & ssItem(v3) & ~ singletonP(nil) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (cons(v7, v12) = v13) | ~ (cons(v6, v9) = v10) | ~ (app(v11, v13) = v5) | ~ (app(v8, v10) = v11) | ~ strictorderedP(v5) | ~ ssList(v12) | ~ ssList(v9) | ~ ssList(v8) | ~ ssList(v5) | ~ ssItem(v7) | ~ ssItem(v6) | lt(v6, v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (cons(v7, v12) = v13) | ~ (cons(v6, v9) = v10) | ~ (app(v11, v13) = v5) | ~ (app(v8, v10) = v11) | ~ totalorderedP(v5) | ~ ssList(v12) | ~ ssList(v9) | ~ ssList(v8) | ~ ssList(v5) | ~ ssItem(v7) | ~ ssItem(v6) | leq(v6, v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (cons(v7, v12) = v13) | ~ (cons(v6, v9) = v10) | ~ (app(v11, v13) = v5) | ~ (app(v8, v10) = v11) | ~ strictorderP(v5) | ~ ssList(v12) | ~ ssList(v9) | ~ ssList(v8) | ~ ssList(v5) | ~ ssItem(v7) | ~ ssItem(v6) | lt(v7, v6) | lt(v6, v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (cons(v7, v12) = v13) | ~ (cons(v6, v9) = v10) | ~ (app(v11, v13) = v5) | ~ (app(v8, v10) = v11) | ~ totalorderP(v5) | ~ ssList(v12) | ~ ssList(v9) | ~ ssList(v8) | ~ ssList(v5) | ~ ssItem(v7) | ~ ssItem(v6) | leq(v7, v6) | leq(v6, v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (cons(v7, v12) = v13) | ~ (cons(v6, v9) = v10) | ~ (app(v11, v13) = v5) | ~ (app(v8, v10) = v11) | ~ leq(v7, v6) | ~ leq(v6, v7) | ~ cyclefreeP(v5) | ~ ssList(v12) | ~ ssList(v9) | ~ ssList(v8) | ~ ssList(v5) | ~ ssItem(v7) | ~ ssItem(v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cons(v6, v11) = v12) | ~ (cons(v6, v8) = v9) | ~ (app(v10, v12) = v5) | ~ (app(v7, v9) = v10) | ~ duplicatefreeP(v5) | ~ ssList(v11) | ~ ssList(v8) | ~ ssList(v7) | ~ ssList(v5) | ~ ssItem(v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v7 = v6 | ~ (cons(v7, v9) = v10) | ~ (cons(v6, v10) = v11) | ~ (app(v8, v11) = v5) | ~ equalelemsP(v5) | ~ ssList(v9) | ~ ssList(v8) | ~ ssList(v5) | ~ ssItem(v7) | ~ ssItem(v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v6 = v5 | ~ (cons(v6, v9) = v10) | ~ (cons(v5, v7) = v8) | ~ frontsegP(v8, v10) | ~ ssList(v9) | ~ ssList(v7) | ~ ssItem(v6) | ~ ssItem(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (cons(v8, v6) = v9) | ~ (app(v9, v5) = v10) | ~ (app(v6, v5) = v7) | ~ ssList(v6) | ~ ssList(v5) | ~ ssItem(v8) | cons(v8, v7) = v10) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (cons(v6, v9) = v10) | ~ (cons(v5, v7) = v8) | ~ frontsegP(v8, v10) | ~ ssList(v9) | ~ ssList(v7) | ~ ssItem(v6) | ~ ssItem(v5) | frontsegP(v7, v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (app(v8, v9) = v10) | ~ (app(v7, v5) = v8) | ~ segmentP(v5, v6) | ~ ssList(v9) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | segmentP(v10, v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (app(v6, v8) = v9) | ~ (app(v5, v9) = v10) | ~ (app(v5, v6) = v7) | ~ ssList(v8) | ~ ssList(v6) | ~ ssList(v5) | app(v7, v8) = v10) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (cons(v9, v6) = v8) | ~ (cons(v7, v5) = v8) | ~ ssList(v6) | ~ ssList(v5) | ~ ssItem(v9) | ~ ssItem(v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (cons(v9, v6) = v8) | ~ (cons(v7, v5) = v8) | ~ ssList(v6) | ~ ssList(v5) | ~ ssItem(v9) | ~ ssItem(v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (cons(v8, v7) = v9) | ~ (app(v6, v5) = v7) | ~ ssList(v6) | ~ ssList(v5) | ~ ssItem(v8) | ? [v10] : (cons(v8, v6) = v10 & app(v10, v5) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (cons(v6, v8) = v9) | ~ (app(v7, v9) = v5) | ~ ssList(v8) | ~ ssList(v7) | ~ ssList(v5) | ~ ssItem(v6) | memberP(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (cons(v5, v8) = v9) | ~ (cons(v5, v6) = v7) | ~ frontsegP(v6, v8) | ~ ssList(v8) | ~ ssList(v6) | ~ ssItem(v5) | frontsegP(v7, v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (app(v8, v9) = v5) | ~ (app(v7, v6) = v8) | ~ ssList(v9) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | segmentP(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (app(v7, v8) = v9) | ~ (app(v5, v6) = v7) | ~ ssList(v8) | ~ ssList(v6) | ~ ssList(v5) | ? [v10] : (app(v6, v8) = v10 & app(v5, v10) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v5 | v5 = nil | ~ (tl(v5) = v7) | ~ (hd(v5) = v6) | ~ (cons(v6, v7) = v8) | ~ ssList(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v5 | ~ (app(v8, v6) = v7) | ~ (app(v5, v6) = v7) | ~ ssList(v8) | ~ ssList(v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v5 | ~ (app(v6, v8) = v7) | ~ (app(v6, v5) = v7) | ~ ssList(v8) | ~ ssList(v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (cons(v8, v7) = v6) | ~ (cons(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (cons(v6, v7) = v8) | ~ memberP(v8, v5) | ~ ssList(v7) | ~ ssItem(v6) | ~ ssItem(v5) | memberP(v7, v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (app(v8, v7) = v6) | ~ (app(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = nil | ~ (tl(v5) = v6) | ~ (app(v6, v7) = v8) | ~ ssList(v7) | ~ ssList(v5) | ? [v9] : (tl(v9) = v8 & app(v5, v7) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = nil | ~ (tl(v5) = v6) | ~ (app(v5, v7) = v8) | ~ ssList(v7) | ~ ssList(v5) | ? [v9] : (tl(v8) = v9 & app(v6, v7) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = nil | ~ (hd(v5) = v6) | ~ (app(v5, v7) = v8) | ~ ssList(v7) | ~ ssList(v5) | hd(v8) = v6) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v6, v7) = v8) | ~ memberP(v7, v5) | ~ ssList(v7) | ~ ssItem(v6) | ~ ssItem(v5) | memberP(v8, v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v6, nil) = v7) | ~ (app(v7, v5) = v8) | ~ ssList(v5) | ~ ssItem(v6) | cons(v6, v5) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (app(v7, v5) = v8) | ~ rearsegP(v5, v6) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | rearsegP(v8, v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (app(v6, v7) = v8) | ~ memberP(v8, v5) | ~ ssList(v7) | ~ ssList(v6) | ~ ssItem(v5) | memberP(v7, v5) | memberP(v6, v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (app(v6, v7) = v8) | ~ memberP(v7, v5) | ~ ssList(v7) | ~ ssList(v6) | ~ ssItem(v5) | memberP(v8, v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (app(v6, v7) = v8) | ~ memberP(v6, v5) | ~ ssList(v7) | ~ ssList(v6) | ~ ssItem(v5) | memberP(v8, v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (app(v5, v7) = v8) | ~ frontsegP(v5, v6) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | frontsegP(v8, v6)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (tl(v7) = v6) | ~ (tl(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (hd(v7) = v6) | ~ (hd(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (hd(v6) = v7) | ~ ssList(v6) | ~ ssItem(v5) | ? [v8] : (cons(v5, v6) = v8 & (v6 = nil | ~ strictorderedP(v8) | (strictorderedP(v6) & lt(v5, v7))) & (strictorderedP(v8) | ( ~ (v6 = nil) & ( ~ strictorderedP(v6) | ~ lt(v5, v7)))))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (hd(v6) = v7) | ~ ssList(v6) | ~ ssItem(v5) | ? [v8] : (cons(v5, v6) = v8 & (v6 = nil | ~ totalorderedP(v8) | (totalorderedP(v6) & leq(v5, v7))) & (totalorderedP(v8) | ( ~ (v6 = nil) & ( ~ totalorderedP(v6) | ~ leq(v5, v7)))))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v6, v5) = v7) | ~ ssList(v5) | ~ ssItem(v6) | tl(v7) = v5) & ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v6, v5) = v7) | ~ ssList(v5) | ~ ssItem(v6) | hd(v7) = v6) & ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v6, v5) = v7) | ~ ssList(v5) | ~ ssItem(v6) | ssList(v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v6, v5) = v7) | ~ ssList(v5) | ~ ssItem(v6) | ? [v8] : (cons(v6, nil) = v8 & app(v8, v5) = v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v5, v6) = v7) | ~ ssList(v6) | ~ ssItem(v5) | memberP(v7, v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v5, v6) = v7) | ~ ssList(v6) | ~ ssItem(v5) | ? [v8] : (hd(v6) = v8 & (v6 = nil | ~ strictorderedP(v7) | (strictorderedP(v6) & lt(v5, v8))) & (strictorderedP(v7) | ( ~ (v6 = nil) & ( ~ strictorderedP(v6) | ~ lt(v5, v8)))))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v5, v6) = v7) | ~ ssList(v6) | ~ ssItem(v5) | ? [v8] : (hd(v6) = v8 & (v6 = nil | ~ totalorderedP(v7) | (totalorderedP(v6) & leq(v5, v8))) & (totalorderedP(v7) | ( ~ (v6 = nil) & ( ~ totalorderedP(v6) | ~ leq(v5, v8)))))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (app(v7, v6) = v5) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | rearsegP(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (app(v6, v7) = v5) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | frontsegP(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (app(v5, v6) = v7) | ~ ssList(v6) | ~ ssList(v5) | ssList(v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ gt(v6, v7) | ~ gt(v5, v6) | ~ ssItem(v7) | ~ ssItem(v6) | ~ ssItem(v5) | gt(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ geq(v6, v7) | ~ geq(v5, v6) | ~ ssItem(v7) | ~ ssItem(v6) | ~ ssItem(v5) | geq(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ lt(v6, v7) | ~ lt(v5, v6) | ~ ssItem(v7) | ~ ssItem(v6) | ~ ssItem(v5) | lt(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ lt(v6, v7) | ~ leq(v5, v6) | ~ ssItem(v7) | ~ ssItem(v6) | ~ ssItem(v5) | lt(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ leq(v6, v7) | ~ leq(v5, v6) | ~ ssItem(v7) | ~ ssItem(v6) | ~ ssItem(v5) | leq(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ segmentP(v6, v7) | ~ segmentP(v5, v6) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | segmentP(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ rearsegP(v6, v7) | ~ rearsegP(v5, v6) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | rearsegP(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ frontsegP(v6, v7) | ~ frontsegP(v5, v6) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v5) | frontsegP(v5, v7)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (app(v5, nil) = v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (app(nil, v5) = v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ geq(v6, v5) | ~ geq(v5, v6) | ~ ssItem(v6) | ~ ssItem(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ leq(v6, v5) | ~ leq(v5, v6) | ~ ssItem(v6) | ~ ssItem(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ leq(v5, v6) | ~ ssItem(v6) | ~ ssItem(v5) | lt(v5, v6)) & ! [v5] : ! [v6] : (v6 = v5 | ~ segmentP(v6, v5) | ~ segmentP(v5, v6) | ~ ssList(v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ rearsegP(v6, v5) | ~ rearsegP(v5, v6) | ~ ssList(v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ frontsegP(v6, v5) | ~ frontsegP(v5, v6) | ~ ssList(v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ ssList(v6) | ~ ssList(v5) | neq(v5, v6)) & ! [v5] : ! [v6] : (v6 = v5 | ~ ssItem(v6) | ~ ssItem(v5) | neq(v5, v6)) & ! [v5] : ! [v6] : (v6 = nil | ~ (app(v5, v6) = nil) | ~ ssList(v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : (v5 = nil | ~ (tl(v5) = v6) | ~ ssList(v5) | ssList(v6)) & ! [v5] : ! [v6] : (v5 = nil | ~ (hd(v5) = v6) | ~ ssList(v5) | ssItem(v6)) & ! [v5] : ! [v6] : (v5 = nil | ~ (app(v5, v6) = nil) | ~ ssList(v6) | ~ ssList(v5)) & ! [v5] : ! [v6] : ( ~ (tl(v5) = v6) | ~ ssList(v5) | ? [v7] : (hd(v5) = v7 & ! [v8] : (v8 = v5 | v8 = nil | v5 = nil | ~ (tl(v8) = v6) | ~ ssList(v8) | ? [v9] : ( ~ (v9 = v7) & hd(v8) = v9)) & ! [v8] : (v8 = v5 | v8 = nil | v5 = nil | ~ (hd(v8) = v7) | ~ ssList(v8) | ? [v9] : ( ~ (v9 = v6) & tl(v8) = v9)))) & ! [v5] : ! [v6] : ( ~ (hd(v5) = v6) | ~ ssList(v5) | ? [v7] : (tl(v5) = v7 & ! [v8] : (v8 = v5 | v8 = nil | v5 = nil | ~ (tl(v8) = v7) | ~ ssList(v8) | ? [v9] : ( ~ (v9 = v6) & hd(v8) = v9)) & ! [v8] : (v8 = v5 | v8 = nil | v5 = nil | ~ (hd(v8) = v6) | ~ ssList(v8) | ? [v9] : ( ~ (v9 = v7) & tl(v8) = v9)))) & ! [v5] : ! [v6] : ( ~ (cons(v6, v5) = v5) | ~ ssList(v5) | ~ ssItem(v6)) & ! [v5] : ! [v6] : ( ~ (cons(v6, v5) = nil) | ~ ssList(v5) | ~ ssItem(v6)) & ! [v5] : ! [v6] : ( ~ (cons(v6, nil) = v5) | ~ ssList(v5) | ~ ssItem(v6) | singletonP(v5)) & ! [v5] : ! [v6] : ( ~ (cons(v5, nil) = v6) | ~ ssItem(v5) | equalelemsP(v6)) & ! [v5] : ! [v6] : ( ~ (cons(v5, nil) = v6) | ~ ssItem(v5) | duplicatefreeP(v6)) & ! [v5] : ! [v6] : ( ~ (cons(v5, nil) = v6) | ~ ssItem(v5) | strictorderedP(v6)) & ! [v5] : ! [v6] : ( ~ (cons(v5, nil) = v6) | ~ ssItem(v5) | totalorderedP(v6)) & ! [v5] : ! [v6] : ( ~ (cons(v5, nil) = v6) | ~ ssItem(v5) | strictorderP(v6)) & ! [v5] : ! [v6] : ( ~ (cons(v5, nil) = v6) | ~ ssItem(v5) | totalorderP(v6)) & ! [v5] : ! [v6] : ( ~ (cons(v5, nil) = v6) | ~ ssItem(v5) | cyclefreeP(v6)) & ! [v5] : ! [v6] : ( ~ gt(v6, v5) | ~ gt(v5, v6) | ~ ssItem(v6) | ~ ssItem(v5)) & ! [v5] : ! [v6] : ( ~ gt(v5, v6) | ~ ssItem(v6) | ~ ssItem(v5) | lt(v6, v5)) & ! [v5] : ! [v6] : ( ~ geq(v5, v6) | ~ ssItem(v6) | ~ ssItem(v5) | leq(v6, v5)) & ! [v5] : ! [v6] : ( ~ lt(v6, v5) | ~ lt(v5, v6) | ~ ssItem(v6) | ~ ssItem(v5)) & ! [v5] : ! [v6] : ( ~ lt(v6, v5) | ~ ssItem(v6) | ~ ssItem(v5) | gt(v5, v6)) & ! [v5] : ! [v6] : ( ~ lt(v5, v6) | ~ ssItem(v6) | ~ ssItem(v5) | leq(v5, v6)) & ! [v5] : ! [v6] : ( ~ leq(v6, v5) | ~ ssItem(v6) | ~ ssItem(v5) | geq(v5, v6)) & ! [v5] : ! [v6] : ( ~ segmentP(v5, v6) | ~ ssList(v6) | ~ ssList(v5) | ? [v7] : ? [v8] : ? [v9] : (app(v8, v9) = v5 & app(v7, v6) = v8 & ssList(v9) & ssList(v7))) & ! [v5] : ! [v6] : ( ~ rearsegP(v5, v6) | ~ ssList(v6) | ~ ssList(v5) | ? [v7] : (app(v7, v6) = v5 & ssList(v7))) & ! [v5] : ! [v6] : ( ~ frontsegP(v5, v6) | ~ ssList(v6) | ~ ssList(v5) | ? [v7] : (app(v6, v7) = v5 & ssList(v7))) & ! [v5] : ! [v6] : ( ~ memberP(v5, v6) | ~ ssList(v5) | ~ ssItem(v6) | ? [v7] : ? [v8] : ? [v9] : (cons(v6, v8) = v9 & app(v7, v9) = v5 & ssList(v8) & ssList(v7))) & ! [v5] : ! [v6] : ( ~ ssList(v6) | ~ ssList(v5) | ? [v7] : (app(v5, v6) = v7 & ! [v8] : ( ~ ssList(v8) | ? [v9] : ? [v10] : (app(v7, v8) = v9 & app(v5, v8) = v10 & ( ~ (v10 = v0) | ~ (v9 = v1)))))) & ! [v5] : (v5 = nil | ~ (app(nil, nil) = v5)) & ! [v5] : (v5 = nil | ~ segmentP(nil, v5) | ~ ssList(v5)) & ! [v5] : (v5 = nil | ~ rearsegP(nil, v5) | ~ ssList(v5)) & ! [v5] : (v5 = nil | ~ frontsegP(nil, v5) | ~ ssList(v5)) & ! [v5] : (v5 = nil | ~ ssList(v5) | ? [v6] : ? [v7] : (cons(v7, v6) = v5 & ssList(v6) & ssItem(v7))) & ! [v5] : ( ~ lt(v5, v5) | ~ ssItem(v5)) & ! [v5] : ( ~ singletonP(v5) | ~ ssList(v5) | ? [v6] : (cons(v6, nil) = v5 & ssItem(v6))) & ! [v5] : ( ~ memberP(nil, v5) | ~ ssItem(v5)) & ! [v5] : ( ~ ssList(v5) | ~ neq(v5, v5)) & ! [v5] : ( ~ ssList(v5) | equalelemsP(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v7 = v6) & cons(v7, v9) = v10 & cons(v6, v10) = v11 & app(v8, v11) = v5 & ssList(v9) & ssList(v8) & ssItem(v7) & ssItem(v6))) & ! [v5] : ( ~ ssList(v5) | duplicatefreeP(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (cons(v6, v11) = v12 & cons(v6, v8) = v9 & app(v10, v12) = v5 & app(v7, v9) = v10 & ssList(v11) & ssList(v8) & ssList(v7) & ssItem(v6))) & ! [v5] : ( ~ ssList(v5) | strictorderedP(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (cons(v7, v12) = v13 & cons(v6, v9) = v10 & app(v11, v13) = v5 & app(v8, v10) = v11 & ssList(v12) & ssList(v9) & ssList(v8) & ssItem(v7) & ssItem(v6) & ~ lt(v6, v7))) & ! [v5] : ( ~ ssList(v5) | totalorderedP(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (cons(v7, v12) = v13 & cons(v6, v9) = v10 & app(v11, v13) = v5 & app(v8, v10) = v11 & ssList(v12) & ssList(v9) & ssList(v8) & ssItem(v7) & ssItem(v6) & ~ leq(v6, v7))) & ! [v5] : ( ~ ssList(v5) | strictorderP(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (cons(v7, v12) = v13 & cons(v6, v9) = v10 & app(v11, v13) = v5 & app(v8, v10) = v11 & ssList(v12) & ssList(v9) & ssList(v8) & ssItem(v7) & ssItem(v6) & ~ lt(v7, v6) & ~ lt(v6, v7))) & ! [v5] : ( ~ ssList(v5) | totalorderP(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (cons(v7, v12) = v13 & cons(v6, v9) = v10 & app(v11, v13) = v5 & app(v8, v10) = v11 & ssList(v12) & ssList(v9) & ssList(v8) & ssItem(v7) & ssItem(v6) & ~ leq(v7, v6) & ~ leq(v6, v7))) & ! [v5] : ( ~ ssList(v5) | cyclefreeP(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (cons(v7, v12) = v13 & cons(v6, v9) = v10 & app(v11, v13) = v5 & app(v8, v10) = v11 & leq(v7, v6) & leq(v6, v7) & ssList(v12) & ssList(v9) & ssList(v8) & ssItem(v7) & ssItem(v6))) & ! [v5] : ( ~ ssList(v5) | segmentP(v5, v5)) & ! [v5] : ( ~ ssList(v5) | segmentP(v5, nil)) & ! [v5] : ( ~ ssList(v5) | rearsegP(v5, v5)) & ! [v5] : ( ~ ssList(v5) | rearsegP(v5, nil)) & ! [v5] : ( ~ ssList(v5) | frontsegP(v5, v5)) & ! [v5] : ( ~ ssList(v5) | frontsegP(v5, nil)) & ! [v5] : ( ~ neq(v5, v5) | ~ ssItem(v5)) & ! [v5] : ( ~ ssItem(v5) | geq(v5, v5)) & ! [v5] : ( ~ ssItem(v5) | leq(v5, v5)) & ! [v5] : ( ~ ssItem(v5) | ? [v6] : (cons(v5, nil) = v6 & ! [v7] : ! [v8] : ( ~ ssList(v7) | ~ ssItem(v8) | ? [v9] : (( ~ (v9 = v2) & app(v6, v7) = v9) | (cons(v8, nil) = v9 & ! [v10] : ( ~ lt(v8, v5) | ~ ssList(v10) | ? [v11] : ( ~ (v11 = v0) & app(v10, v9) = v11))))))) & ( ~ (v0 = nil) | v1 = nil))
% 13.41/3.68 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 13.41/3.68 | (1) ~ (all_0_0_0 = all_0_1_1) & app(all_0_4_4, all_0_2_2) = all_0_3_3 & equalelemsP(nil) & duplicatefreeP(nil) & strictorderedP(all_0_4_4) & strictorderedP(nil) & totalorderedP(nil) & strictorderP(nil) & totalorderP(nil) & cyclefreeP(nil) & segmentP(nil, nil) & rearsegP(nil, nil) & frontsegP(nil, nil) & ssList(all_0_2_2) & ssList(all_0_3_3) & ssList(all_0_4_4) & ssList(nil) & ssItem(all_0_0_0) & ssItem(all_0_1_1) & ~ singletonP(nil) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ strictorderedP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | lt(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ totalorderedP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | leq(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ strictorderP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | lt(v2, v1) | lt(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ totalorderP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | leq(v2, v1) | leq(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ leq(v2, v1) | ~ leq(v1, v2) | ~ cyclefreeP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ duplicatefreeP(v0) | ~ ssList(v6) | ~ ssList(v3) | ~ ssList(v2) | ~ ssList(v0) | ~ ssItem(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ equalelemsP(v0) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ frontsegP(v3, v5) | ~ ssList(v4) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v3) | cons(v3, v2) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ frontsegP(v3, v5) | ~ ssList(v4) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | frontsegP(v2, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ~ segmentP(v0, v1) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v5, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (app(v1, v3) = v4) | ~ (app(v0, v4) = v5) | ~ (app(v0, v1) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0) | app(v2, v3) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ ssItem(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ ssItem(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v3) | ? [v5] : (cons(v3, v1) = v5 & app(v5, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v1, v3) = v4) | ~ (app(v2, v4) = v0) | ~ ssList(v3) | ~ ssList(v2) | ~ ssList(v0) | ~ ssItem(v1) | memberP(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v0, v3) = v4) | ~ (cons(v0, v1) = v2) | ~ frontsegP(v1, v3) | ~ ssList(v3) | ~ ssList(v1) | ~ ssItem(v0) | frontsegP(v2, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (app(v3, v4) = v0) | ~ (app(v2, v1) = v3) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0) | ? [v5] : (app(v1, v3) = v5 & app(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ~ ssList(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v1, v2) = v3) | ~ memberP(v3, v0) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | memberP(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ~ ssList(v2) | ~ ssList(v0) | ? [v4] : (tl(v4) = v3 & app(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v0, v2) = v3) | ~ ssList(v2) | ~ ssList(v0) | ? [v4] : (tl(v3) = v4 & app(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ~ ssList(v2) | ~ ssList(v0) | hd(v3) = v1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, v2) = v3) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | memberP(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ~ ssList(v0) | ~ ssItem(v1) | cons(v1, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v2, v0) = v3) | ~ rearsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v3, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0) | memberP(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v1, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v0, v2) = v3) | ~ frontsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v3, v1)) & ! [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] : ( ~ (hd(v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | ? [v3] : (cons(v0, v1) = v3 & (v1 = nil | ~ strictorderedP(v3) | (strictorderedP(v1) & lt(v0, v2))) & (strictorderedP(v3) | ( ~ (v1 = nil) & ( ~ strictorderedP(v1) | ~ lt(v0, v2)))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hd(v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | ? [v3] : (cons(v0, v1) = v3 & (v1 = nil | ~ totalorderedP(v3) | (totalorderedP(v1) & leq(v0, v2))) & (totalorderedP(v3) | ( ~ (v1 = nil) & ( ~ totalorderedP(v1) | ~ leq(v0, v2)))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | tl(v2) = v0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | hd(v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | ssList(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | ? [v3] : (cons(v1, nil) = v3 & app(v3, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | ? [v3] : (hd(v1) = v3 & (v1 = nil | ~ strictorderedP(v2) | (strictorderedP(v1) & lt(v0, v3))) & (strictorderedP(v2) | ( ~ (v1 = nil) & ( ~ strictorderedP(v1) | ~ lt(v0, v3)))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | ? [v3] : (hd(v1) = v3 & (v1 = nil | ~ totalorderedP(v2) | (totalorderedP(v1) & leq(v0, v3))) & (totalorderedP(v2) | ( ~ (v1 = nil) & ( ~ totalorderedP(v1) | ~ leq(v0, v3)))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v2, v1) = v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v1, v2) = v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v0, v1) = v2) | ~ ssList(v1) | ~ ssList(v0) | ssList(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ gt(v1, v2) | ~ gt(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | gt(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ geq(v1, v2) | ~ geq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | geq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ lt(v1, v2) | ~ lt(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ lt(v1, v2) | ~ leq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ segmentP(v1, v2) | ~ segmentP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rearsegP(v1, v2) | ~ rearsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ frontsegP(v1, v2) | ~ frontsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ geq(v1, v0) | ~ geq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v1, v0) | ~ leq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ segmentP(v1, v0) | ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ rearsegP(v1, v0) | ~ rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ frontsegP(v1, v0) | ~ frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ ssList(v1) | ~ ssList(v0) | neq(v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ ssItem(v1) | ~ ssItem(v0) | neq(v0, v1)) & ! [v0] : ! [v1] : (v1 = nil | ~ (app(v0, v1) = nil) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ~ ssList(v0) | ssList(v1)) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ~ ssList(v0) | ssItem(v1)) & ! [v0] : ! [v1] : (v0 = nil | ~ (app(v0, v1) = nil) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ~ ssList(v0) | ? [v2] : (hd(v0) = v2 & ! [v3] : (v3 = v0 | v3 = nil | v0 = nil | ~ (tl(v3) = v1) | ~ ssList(v3) | ? [v4] : ( ~ (v4 = v2) & hd(v3) = v4)) & ! [v3] : (v3 = v0 | v3 = nil | v0 = nil | ~ (hd(v3) = v2) | ~ ssList(v3) | ? [v4] : ( ~ (v4 = v1) & tl(v3) = v4)))) & ! [v0] : ! [v1] : ( ~ (hd(v0) = v1) | ~ ssList(v0) | ? [v2] : (tl(v0) = v2 & ! [v3] : (v3 = v0 | v3 = nil | v0 = nil | ~ (tl(v3) = v2) | ~ ssList(v3) | ? [v4] : ( ~ (v4 = v1) & hd(v3) = v4)) & ! [v3] : (v3 = v0 | v3 = nil | v0 = nil | ~ (hd(v3) = v1) | ~ ssList(v3) | ? [v4] : ( ~ (v4 = v2) & tl(v3) = v4)))) & ! [v0] : ! [v1] : ( ~ (cons(v1, v0) = v0) | ~ ssList(v0) | ~ ssItem(v1)) & ! [v0] : ! [v1] : ( ~ (cons(v1, v0) = nil) | ~ ssList(v0) | ~ ssItem(v1)) & ! [v0] : ! [v1] : ( ~ (cons(v1, nil) = v0) | ~ ssList(v0) | ~ ssItem(v1) | singletonP(v0)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | equalelemsP(v1)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | duplicatefreeP(v1)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | strictorderedP(v1)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | totalorderedP(v1)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | strictorderP(v1)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | totalorderP(v1)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | cyclefreeP(v1)) & ! [v0] : ! [v1] : ( ~ gt(v1, v0) | ~ gt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0)) & ! [v0] : ! [v1] : ( ~ gt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v1, v0)) & ! [v0] : ! [v1] : ( ~ geq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v1, v0)) & ! [v0] : ! [v1] : ( ~ lt(v1, v0) | ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0)) & ! [v0] : ! [v1] : ( ~ lt(v1, v0) | ~ ssItem(v1) | ~ ssItem(v0) | gt(v0, v1)) & ! [v0] : ! [v1] : ( ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v1)) & ! [v0] : ! [v1] : ( ~ leq(v1, v0) | ~ ssItem(v1) | ~ ssItem(v0) | geq(v0, v1)) & ! [v0] : ! [v1] : ( ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : ? [v3] : ? [v4] : (app(v3, v4) = v0 & app(v2, v1) = v3 & ssList(v4) & ssList(v2))) & ! [v0] : ! [v1] : ( ~ rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v2, v1) = v0 & ssList(v2))) & ! [v0] : ! [v1] : ( ~ frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v1, v2) = v0 & ssList(v2))) & ! [v0] : ! [v1] : ( ~ memberP(v0, v1) | ~ ssList(v0) | ~ ssItem(v1) | ? [v2] : ? [v3] : ? [v4] : (cons(v1, v3) = v4 & app(v2, v4) = v0 & ssList(v3) & ssList(v2))) & ! [v0] : ! [v1] : ( ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v0, v1) = v2 & ! [v3] : ( ~ ssList(v3) | ? [v4] : ? [v5] : (app(v2, v3) = v4 & app(v0, v3) = v5 & ( ~ (v5 = all_0_4_4) | ~ (v4 = all_0_3_3)))))) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = nil | ~ segmentP(nil, v0) | ~ ssList(v0)) & ! [v0] : (v0 = nil | ~ rearsegP(nil, v0) | ~ ssList(v0)) & ! [v0] : (v0 = nil | ~ frontsegP(nil, v0) | ~ ssList(v0)) & ! [v0] : (v0 = nil | ~ ssList(v0) | ? [v1] : ? [v2] : (cons(v2, v1) = v0 & ssList(v1) & ssItem(v2))) & ! [v0] : ( ~ lt(v0, v0) | ~ ssItem(v0)) & ! [v0] : ( ~ singletonP(v0) | ~ ssList(v0) | ? [v1] : (cons(v1, nil) = v0 & ssItem(v1))) & ! [v0] : ( ~ memberP(nil, v0) | ~ ssItem(v0)) & ! [v0] : ( ~ ssList(v0) | ~ neq(v0, v0)) & ! [v0] : ( ~ ssList(v0) | equalelemsP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v2 = v1) & cons(v2, v4) = v5 & cons(v1, v5) = v6 & app(v3, v6) = v0 & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1))) & ! [v0] : ( ~ ssList(v0) | duplicatefreeP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (cons(v1, v6) = v7 & cons(v1, v3) = v4 & app(v5, v7) = v0 & app(v2, v4) = v5 & ssList(v6) & ssList(v3) & ssList(v2) & ssItem(v1))) & ! [v0] : ( ~ ssList(v0) | strictorderedP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ lt(v1, v2))) & ! [v0] : ( ~ ssList(v0) | totalorderedP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ leq(v1, v2))) & ! [v0] : ( ~ ssList(v0) | strictorderP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ lt(v2, v1) & ~ lt(v1, v2))) & ! [v0] : ( ~ ssList(v0) | totalorderP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ leq(v2, v1) & ~ leq(v1, v2))) & ! [v0] : ( ~ ssList(v0) | cyclefreeP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & leq(v2, v1) & leq(v1, v2) & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1))) & ! [v0] : ( ~ ssList(v0) | segmentP(v0, v0)) & ! [v0] : ( ~ ssList(v0) | segmentP(v0, nil)) & ! [v0] : ( ~ ssList(v0) | rearsegP(v0, v0)) & ! [v0] : ( ~ ssList(v0) | rearsegP(v0, nil)) & ! [v0] : ( ~ ssList(v0) | frontsegP(v0, v0)) & ! [v0] : ( ~ ssList(v0) | frontsegP(v0, nil)) & ! [v0] : ( ~ neq(v0, v0) | ~ ssItem(v0)) & ! [v0] : ( ~ ssItem(v0) | geq(v0, v0)) & ! [v0] : ( ~ ssItem(v0) | leq(v0, v0)) & ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ! [v3] : ( ~ ssList(v2) | ~ ssItem(v3) | ? [v4] : (( ~ (v4 = all_0_2_2) & app(v1, v2) = v4) | (cons(v3, nil) = v4 & ! [v5] : ( ~ lt(v3, v0) | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_4_4) & app(v5, v4) = v6))))))) & ( ~ (all_0_4_4 = nil) | all_0_3_3 = nil)
% 13.41/3.72 |
% 13.41/3.72 | Applying alpha-rule on (1) yields:
% 13.41/3.72 | (2) ! [v0] : (v0 = nil | ~ ssList(v0) | ? [v1] : ? [v2] : (cons(v2, v1) = v0 & ssList(v1) & ssItem(v2)))
% 13.41/3.72 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (hd(v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | ? [v3] : (cons(v0, v1) = v3 & (v1 = nil | ~ totalorderedP(v3) | (totalorderedP(v1) & leq(v0, v2))) & (totalorderedP(v3) | ( ~ (v1 = nil) & ( ~ totalorderedP(v1) | ~ leq(v0, v2))))))
% 13.41/3.72 | (4) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | strictorderedP(v1))
% 13.41/3.72 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v2, v1) = v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v0, v1))
% 13.41/3.72 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v1, v2) = v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v0, v1))
% 13.41/3.72 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 13.41/3.72 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v1, v3) = v4) | ~ (app(v2, v4) = v0) | ~ ssList(v3) | ~ ssList(v2) | ~ ssList(v0) | ~ ssItem(v1) | memberP(v0, v1))
% 13.41/3.72 | (9) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ~ ssList(v0))
% 13.41/3.72 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, v2) = v3) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 13.41/3.72 | (11) ! [v0] : ! [v1] : ( ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v1))
% 13.41/3.72 | (12) ! [v0] : ( ~ ssItem(v0) | geq(v0, v0))
% 13.41/3.72 | (13) ! [v0] : ! [v1] : ( ~ geq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v1, v0))
% 13.41/3.72 | (14) ! [v0] : ! [v1] : ( ~ gt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v1, v0))
% 13.41/3.73 | (15) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v1))
% 13.41/3.73 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v2, v0) = v3) | ~ rearsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v3, v1))
% 13.41/3.73 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ leq(v2, v1) | ~ leq(v1, v2) | ~ cyclefreeP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1))
% 13.41/3.73 | (18) ! [v0] : (v0 = nil | ~ segmentP(nil, v0) | ~ ssList(v0))
% 13.41/3.73 | (19) ! [v0] : ! [v1] : ( ~ leq(v1, v0) | ~ ssItem(v1) | ~ ssItem(v0) | geq(v0, v1))
% 13.41/3.73 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ~ ssList(v2) | ~ ssList(v0) | hd(v3) = v1)
% 13.41/3.73 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v3) | ? [v5] : (cons(v3, v1) = v5 & app(v5, v0) = v4))
% 13.41/3.73 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | tl(v2) = v0)
% 13.41/3.73 | (23) cyclefreeP(nil)
% 13.41/3.73 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ~ ssList(v0))
% 13.41/3.73 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v0, v3) = v4) | ~ (cons(v0, v1) = v2) | ~ frontsegP(v1, v3) | ~ ssList(v3) | ~ ssList(v1) | ~ ssItem(v0) | frontsegP(v2, v4))
% 13.41/3.73 | (26) ! [v0] : ! [v1] : (v1 = v0 | ~ ssList(v1) | ~ ssList(v0) | neq(v0, v1))
% 13.41/3.73 | (27) ! [v0] : ! [v1] : ( ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : ? [v3] : ? [v4] : (app(v3, v4) = v0 & app(v2, v1) = v3 & ssList(v4) & ssList(v2)))
% 13.41/3.73 | (28) ! [v0] : ! [v1] : ( ~ memberP(v0, v1) | ~ ssList(v0) | ~ ssItem(v1) | ? [v2] : ? [v3] : ? [v4] : (cons(v1, v3) = v4 & app(v2, v4) = v0 & ssList(v3) & ssList(v2)))
% 13.41/3.73 | (29) ! [v0] : ! [v1] : (v1 = v0 | ~ frontsegP(v1, v0) | ~ frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 13.41/3.73 | (30) ! [v0] : ( ~ ssItem(v0) | leq(v0, v0))
% 13.41/3.73 | (31) ~ (all_0_0_0 = all_0_1_1)
% 13.41/3.73 | (32) ! [v0] : ! [v1] : (v1 = nil | ~ (app(v0, v1) = nil) | ~ ssList(v1) | ~ ssList(v0))
% 13.41/3.73 | (33) ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ! [v3] : ( ~ ssList(v2) | ~ ssItem(v3) | ? [v4] : (( ~ (v4 = all_0_2_2) & app(v1, v2) = v4) | (cons(v3, nil) = v4 & ! [v5] : ( ~ lt(v3, v0) | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_4_4) & app(v5, v4) = v6)))))))
% 13.41/3.73 | (34) ~ (all_0_4_4 = nil) | all_0_3_3 = nil
% 13.41/3.73 | (35) ! [v0] : ( ~ ssList(v0) | equalelemsP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v2 = v1) & cons(v2, v4) = v5 & cons(v1, v5) = v6 & app(v3, v6) = v0 & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1)))
% 13.41/3.73 | (36) app(all_0_4_4, all_0_2_2) = all_0_3_3
% 13.41/3.73 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ duplicatefreeP(v0) | ~ ssList(v6) | ~ ssList(v3) | ~ ssList(v2) | ~ ssList(v0) | ~ ssItem(v1))
% 13.41/3.73 | (38) rearsegP(nil, nil)
% 13.41/3.73 | (39) segmentP(nil, nil)
% 13.41/3.73 | (40) ! [v0] : ! [v1] : ( ~ (hd(v0) = v1) | ~ ssList(v0) | ? [v2] : (tl(v0) = v2 & ! [v3] : (v3 = v0 | v3 = nil | v0 = nil | ~ (tl(v3) = v2) | ~ ssList(v3) | ? [v4] : ( ~ (v4 = v1) & hd(v3) = v4)) & ! [v3] : (v3 = v0 | v3 = nil | v0 = nil | ~ (hd(v3) = v1) | ~ ssList(v3) | ? [v4] : ( ~ (v4 = v2) & tl(v3) = v4))))
% 13.41/3.73 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v3, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0) | memberP(v1, v0))
% 13.41/3.73 | (42) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v1, v0) | ~ leq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 13.41/3.73 | (43) ! [v0] : ( ~ ssList(v0) | totalorderedP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ leq(v1, v2)))
% 13.41/3.73 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ totalorderP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | leq(v2, v1) | leq(v1, v2))
% 13.41/3.73 | (45) ! [v0] : ! [v1] : ( ~ rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v2, v1) = v0 & ssList(v2)))
% 13.41/3.74 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | ? [v3] : (cons(v1, nil) = v3 & app(v3, v0) = v2))
% 13.41/3.74 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ segmentP(v1, v2) | ~ segmentP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v0, v2))
% 13.41/3.74 | (48) ! [v0] : ! [v1] : ( ~ (cons(v1, v0) = nil) | ~ ssList(v0) | ~ ssItem(v1))
% 13.41/3.74 | (49) ! [v0] : ( ~ ssList(v0) | rearsegP(v0, nil))
% 13.41/3.74 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ ssItem(v2))
% 13.41/3.74 | (51) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | totalorderP(v1))
% 13.41/3.74 | (52) ! [v0] : ! [v1] : ( ~ (cons(v1, v0) = v0) | ~ ssList(v0) | ~ ssItem(v1))
% 13.41/3.74 | (53) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 13.41/3.74 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v3) | cons(v3, v2) = v5)
% 13.41/3.74 | (55) ! [v0] : ( ~ singletonP(v0) | ~ ssList(v0) | ? [v1] : (cons(v1, nil) = v0 & ssItem(v1)))
% 13.41/3.74 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v1, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 13.41/3.74 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 13.41/3.74 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ geq(v1, v2) | ~ geq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | geq(v0, v2))
% 13.41/3.74 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0) | ? [v5] : (app(v1, v3) = v5 & app(v0, v5) = v4))
% 13.41/3.74 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0))
% 13.41/3.74 | (61) ! [v0] : ! [v1] : ( ~ lt(v1, v0) | ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 13.41/3.74 | (62) ! [v0] : ( ~ ssList(v0) | rearsegP(v0, v0))
% 13.41/3.74 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v2))
% 13.41/3.74 | (64) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | equalelemsP(v1))
% 13.41/3.74 | (65) duplicatefreeP(nil)
% 13.41/3.74 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v1, v2) = v3) | ~ memberP(v3, v0) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | memberP(v2, v0))
% 13.41/3.74 | (67) ! [v0] : ! [v1] : ( ~ lt(v1, v0) | ~ ssItem(v1) | ~ ssItem(v0) | gt(v0, v1))
% 13.41/3.74 | (68) ! [v0] : ( ~ ssList(v0) | strictorderedP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ lt(v1, v2)))
% 13.41/3.74 | (69) ! [v0] : ( ~ ssList(v0) | strictorderP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ lt(v2, v1) & ~ lt(v1, v2)))
% 13.41/3.74 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ ssItem(v2))
% 13.41/3.74 | (71) ssList(all_0_4_4)
% 13.41/3.74 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ strictorderP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | lt(v2, v1) | lt(v1, v2))
% 13.41/3.74 | (73) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | ? [v3] : (hd(v1) = v3 & (v1 = nil | ~ totalorderedP(v2) | (totalorderedP(v1) & leq(v0, v3))) & (totalorderedP(v2) | ( ~ (v1 = nil) & ( ~ totalorderedP(v1) | ~ leq(v0, v3))))))
% 13.41/3.74 | (74) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ~ ssList(v0) | ssItem(v1))
% 13.41/3.74 | (75) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ~ ssList(v0))
% 13.41/3.74 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ~ ssList(v2) | ~ ssList(v0) | ? [v4] : (tl(v4) = v3 & app(v0, v2) = v4))
% 13.41/3.74 | (77) ! [v0] : ! [v1] : (v1 = v0 | ~ rearsegP(v1, v0) | ~ rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 13.41/3.74 | (78) ssItem(all_0_0_0)
% 13.41/3.74 | (79) ! [v0] : ( ~ ssList(v0) | frontsegP(v0, v0))
% 13.41/3.74 | (80) ! [v0] : (v0 = nil | ~ rearsegP(nil, v0) | ~ ssList(v0))
% 13.41/3.74 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | ? [v3] : (hd(v1) = v3 & (v1 = nil | ~ strictorderedP(v2) | (strictorderedP(v1) & lt(v0, v3))) & (strictorderedP(v2) | ( ~ (v1 = nil) & ( ~ strictorderedP(v1) | ~ lt(v0, v3))))))
% 13.41/3.74 | (82) ! [v0] : ( ~ ssList(v0) | ~ neq(v0, v0))
% 13.41/3.74 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ frontsegP(v3, v5) | ~ ssList(v4) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0))
% 13.41/3.74 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ frontsegP(v3, v5) | ~ ssList(v4) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | frontsegP(v2, v4))
% 13.41/3.74 | (85) ! [v0] : ( ~ ssList(v0) | segmentP(v0, nil))
% 13.41/3.74 | (86) ssList(all_0_2_2)
% 13.41/3.75 | (87) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | strictorderP(v1))
% 13.41/3.75 | (88) ! [v0] : ! [v1] : ! [v2] : ( ~ (hd(v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | ? [v3] : (cons(v0, v1) = v3 & (v1 = nil | ~ strictorderedP(v3) | (strictorderedP(v1) & lt(v0, v2))) & (strictorderedP(v3) | ( ~ (v1 = nil) & ( ~ strictorderedP(v1) | ~ lt(v0, v2))))))
% 13.41/3.75 | (89) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v0, v1) = v2) | ~ ssList(v1) | ~ ssList(v0) | ssList(v2))
% 13.41/3.75 | (90) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | hd(v2) = v1)
% 13.41/3.75 | (91) ! [v0] : ( ~ memberP(nil, v0) | ~ ssItem(v0))
% 13.41/3.75 | (92) ! [v0] : ! [v1] : (v1 = v0 | ~ geq(v1, v0) | ~ geq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 13.41/3.75 | (93) ! [v0] : ( ~ neq(v0, v0) | ~ ssItem(v0))
% 13.41/3.75 | (94) ! [v0] : ! [v1] : ! [v2] : ( ~ gt(v1, v2) | ~ gt(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | gt(v0, v2))
% 13.41/3.75 | (95) totalorderedP(nil)
% 13.41/3.75 | (96) ! [v0] : ! [v1] : ( ~ (cons(v1, nil) = v0) | ~ ssList(v0) | ~ ssItem(v1) | singletonP(v0))
% 13.41/3.75 | (97) equalelemsP(nil)
% 13.41/3.75 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ rearsegP(v1, v2) | ~ rearsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v0, v2))
% 13.41/3.75 | (99) strictorderedP(all_0_4_4)
% 13.41/3.75 | (100) ! [v0] : ! [v1] : ( ~ frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v1, v2) = v0 & ssList(v2)))
% 13.41/3.75 | (101) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | ssList(v2))
% 13.41/3.75 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 13.41/3.75 | (103) ! [v0] : ( ~ ssList(v0) | cyclefreeP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & leq(v2, v1) & leq(v1, v2) & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1)))
% 13.41/3.75 | (104) ~ singletonP(nil)
% 13.41/3.75 | (105) ! [v0] : ( ~ ssList(v0) | frontsegP(v0, nil))
% 13.41/3.75 | (106) strictorderP(nil)
% 13.41/3.75 | (107) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 13.41/3.75 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v0, v2) = v3) | ~ ssList(v2) | ~ ssList(v0) | ? [v4] : (tl(v3) = v4 & app(v1, v2) = v4))
% 13.41/3.75 | (109) ssList(nil)
% 13.41/3.75 | (110) ! [v0] : ( ~ ssList(v0) | totalorderP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ leq(v2, v1) & ~ leq(v1, v2)))
% 13.41/3.75 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (app(v3, v4) = v0) | ~ (app(v2, v1) = v3) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v0, v1))
% 13.41/3.75 | (112) ! [v0] : (v0 = nil | ~ frontsegP(nil, v0) | ~ ssList(v0))
% 13.41/3.75 | (113) strictorderedP(nil)
% 13.41/3.75 | (114) frontsegP(nil, nil)
% 13.41/3.75 | (115) ! [v0] : ( ~ ssList(v0) | duplicatefreeP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (cons(v1, v6) = v7 & cons(v1, v3) = v4 & app(v5, v7) = v0 & app(v2, v4) = v5 & ssList(v6) & ssList(v3) & ssList(v2) & ssItem(v1)))
% 13.41/3.75 | (116) ! [v0] : ! [v1] : ! [v2] : ( ~ lt(v1, v2) | ~ leq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v2))
% 13.41/3.75 | (117) ! [v0] : ! [v1] : ! [v2] : ( ~ lt(v1, v2) | ~ lt(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v2))
% 13.79/3.75 | (118) ! [v0] : ! [v1] : (v1 = v0 | ~ ssItem(v1) | ~ ssItem(v0) | neq(v0, v1))
% 13.79/3.75 | (119) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | cyclefreeP(v1))
% 13.79/3.75 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ equalelemsP(v0) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1))
% 13.79/3.75 | (121) ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ~ ssList(v0) | ? [v2] : (hd(v0) = v2 & ! [v3] : (v3 = v0 | v3 = nil | v0 = nil | ~ (tl(v3) = v1) | ~ ssList(v3) | ? [v4] : ( ~ (v4 = v2) & hd(v3) = v4)) & ! [v3] : (v3 = v0 | v3 = nil | v0 = nil | ~ (hd(v3) = v2) | ~ ssList(v3) | ? [v4] : ( ~ (v4 = v1) & tl(v3) = v4))))
% 13.79/3.75 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ~ ssList(v0) | ~ ssItem(v1) | cons(v1, v0) = v3)
% 13.79/3.75 | (123) ! [v0] : ! [v1] : ! [v2] : ( ~ frontsegP(v1, v2) | ~ frontsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v0, v2))
% 13.79/3.75 | (124) ! [v0] : ! [v1] : (v0 = nil | ~ (app(v0, v1) = nil) | ~ ssList(v1) | ~ ssList(v0))
% 13.79/3.75 | (125) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | totalorderedP(v1))
% 13.79/3.75 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ strictorderedP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | lt(v1, v2))
% 13.79/3.75 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ~ segmentP(v0, v1) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v5, v1))
% 13.79/3.75 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (app(v1, v3) = v4) | ~ (app(v0, v4) = v5) | ~ (app(v0, v1) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0) | app(v2, v3) = v5)
% 13.79/3.75 | (129) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0))
% 13.79/3.75 | (130) ! [v0] : ! [v1] : ( ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v0, v1) = v2 & ! [v3] : ( ~ ssList(v3) | ? [v4] : ? [v5] : (app(v2, v3) = v4 & app(v0, v3) = v5 & ( ~ (v5 = all_0_4_4) | ~ (v4 = all_0_3_3))))))
% 13.79/3.75 | (131) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 13.79/3.75 | (132) ssItem(all_0_1_1)
% 13.79/3.75 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v2, v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ totalorderedP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | leq(v1, v2))
% 13.79/3.76 | (134) totalorderP(nil)
% 13.79/3.76 | (135) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ~ ssList(v0) | ssList(v1))
% 13.79/3.76 | (136) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | duplicatefreeP(v1))
% 13.79/3.76 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0))
% 13.79/3.76 | (138) ! [v0] : ! [v1] : (v1 = v0 | ~ segmentP(v1, v0) | ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 13.79/3.76 | (139) ! [v0] : ( ~ lt(v0, v0) | ~ ssItem(v0))
% 13.79/3.76 | (140) ssList(all_0_3_3)
% 13.79/3.76 | (141) ! [v0] : ! [v1] : ( ~ gt(v1, v0) | ~ gt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 13.79/3.76 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v0, v2) = v3) | ~ frontsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v3, v1))
% 13.79/3.76 | (143) ! [v0] : ( ~ ssList(v0) | segmentP(v0, v0))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_2_2, all_0_3_3 and discharging atoms ssList(all_0_2_2), ssList(all_0_3_3), yields:
% 13.79/3.76 | (144) ? [v0] : (app(all_0_3_3, all_0_2_2) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_3_3, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_3_3, all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 13.79/3.76 | (145) ? [v0] : (app(all_0_3_3, all_0_3_3) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_3_3, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_2_2, all_0_4_4 and discharging atoms ssList(all_0_2_2), ssList(all_0_4_4), yields:
% 13.79/3.76 | (146) ? [v0] : (app(all_0_4_4, all_0_2_2) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_4_4, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_4_4, all_0_3_3 and discharging atoms ssList(all_0_3_3), ssList(all_0_4_4), yields:
% 13.79/3.76 | (147) ? [v0] : (app(all_0_3_3, all_0_4_4) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_3_3, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_3_3, all_0_4_4 and discharging atoms ssList(all_0_3_3), ssList(all_0_4_4), yields:
% 13.79/3.76 | (148) ? [v0] : (app(all_0_4_4, all_0_3_3) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_4_4, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_4_4, all_0_4_4 and discharging atoms ssList(all_0_4_4), yields:
% 13.79/3.76 | (149) ? [v0] : (app(all_0_4_4, all_0_4_4) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_4_4, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_2_2, nil and discharging atoms ssList(all_0_2_2), ssList(nil), yields:
% 13.79/3.76 | (150) ? [v0] : (app(nil, all_0_2_2) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(nil, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with nil, all_0_3_3 and discharging atoms ssList(all_0_3_3), ssList(nil), yields:
% 13.79/3.76 | (151) ? [v0] : (app(all_0_3_3, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_3_3, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_3_3, nil and discharging atoms ssList(all_0_3_3), ssList(nil), yields:
% 13.79/3.76 | (152) ? [v0] : (app(nil, all_0_3_3) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(nil, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with nil, all_0_4_4 and discharging atoms ssList(all_0_4_4), ssList(nil), yields:
% 13.79/3.76 | (153) ? [v0] : (app(all_0_4_4, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_4_4, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with all_0_4_4, nil and discharging atoms ssList(all_0_4_4), ssList(nil), yields:
% 13.79/3.76 | (154) ? [v0] : (app(nil, all_0_4_4) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(nil, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (130) with nil, nil and discharging atoms ssList(nil), yields:
% 13.79/3.76 | (155) ? [v0] : (app(nil, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(nil, v1) = v3 & ( ~ (v3 = all_0_4_4) | ~ (v2 = all_0_3_3)))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating (152) with all_9_0_5 yields:
% 13.79/3.76 | (156) app(nil, all_0_3_3) = all_9_0_5 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_9_0_5, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.76 |
% 13.79/3.76 | Applying alpha-rule on (156) yields:
% 13.79/3.76 | (157) app(nil, all_0_3_3) = all_9_0_5
% 13.79/3.76 | (158) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_9_0_5, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (158) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 13.79/3.76 | (159) ? [v0] : ? [v1] : (app(all_9_0_5, all_0_3_3) = v0 & app(nil, all_0_3_3) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (158) with nil and discharging atoms ssList(nil), yields:
% 13.79/3.76 | (160) ? [v0] : ? [v1] : (app(all_9_0_5, nil) = v0 & app(nil, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating (151) with all_12_0_6 yields:
% 13.79/3.76 | (161) app(all_0_3_3, nil) = all_12_0_6 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_12_0_6, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.76 |
% 13.79/3.76 | Applying alpha-rule on (161) yields:
% 13.79/3.76 | (162) app(all_0_3_3, nil) = all_12_0_6
% 13.79/3.76 | (163) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_12_0_6, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating formula (163) with nil and discharging atoms ssList(nil), yields:
% 13.79/3.76 | (164) ? [v0] : ? [v1] : (app(all_12_0_6, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.76 |
% 13.79/3.76 | Instantiating (150) with all_15_0_7 yields:
% 13.79/3.76 | (165) app(nil, all_0_2_2) = all_15_0_7 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_15_0_7, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Applying alpha-rule on (165) yields:
% 13.79/3.77 | (166) app(nil, all_0_2_2) = all_15_0_7
% 13.79/3.77 | (167) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_15_0_7, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (167) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 13.79/3.77 | (168) ? [v0] : ? [v1] : (app(all_15_0_7, all_0_3_3) = v0 & app(nil, all_0_3_3) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating (145) with all_21_0_9 yields:
% 13.79/3.77 | (169) app(all_0_3_3, all_0_3_3) = all_21_0_9 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_21_0_9, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Applying alpha-rule on (169) yields:
% 13.79/3.77 | (170) app(all_0_3_3, all_0_3_3) = all_21_0_9
% 13.79/3.77 | (171) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_21_0_9, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (171) with nil and discharging atoms ssList(nil), yields:
% 13.79/3.77 | (172) ? [v0] : ? [v1] : (app(all_21_0_9, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating (155) with all_30_0_12 yields:
% 13.79/3.77 | (173) app(nil, nil) = all_30_0_12 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_30_0_12, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Applying alpha-rule on (173) yields:
% 13.79/3.77 | (174) app(nil, nil) = all_30_0_12
% 13.79/3.77 | (175) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_30_0_12, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (175) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 13.79/3.77 | (176) ? [v0] : ? [v1] : (app(all_30_0_12, all_0_3_3) = v0 & app(nil, all_0_3_3) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating (144) with all_33_0_13 yields:
% 13.79/3.77 | (177) app(all_0_3_3, all_0_2_2) = all_33_0_13 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_33_0_13, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Applying alpha-rule on (177) yields:
% 13.79/3.77 | (178) app(all_0_3_3, all_0_2_2) = all_33_0_13
% 13.79/3.77 | (179) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_33_0_13, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (179) with nil and discharging atoms ssList(nil), yields:
% 13.79/3.77 | (180) ? [v0] : ? [v1] : (app(all_33_0_13, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating (154) with all_39_0_15 yields:
% 13.79/3.77 | (181) app(nil, all_0_4_4) = all_39_0_15 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_39_0_15, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Applying alpha-rule on (181) yields:
% 13.79/3.77 | (182) app(nil, all_0_4_4) = all_39_0_15
% 13.79/3.77 | (183) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_39_0_15, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (183) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 13.79/3.77 | (184) ? [v0] : ? [v1] : (app(all_39_0_15, all_0_3_3) = v0 & app(nil, all_0_3_3) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating (153) with all_42_0_16 yields:
% 13.79/3.77 | (185) app(all_0_4_4, nil) = all_42_0_16 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_42_0_16, v0) = v1 & app(all_0_4_4, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Applying alpha-rule on (185) yields:
% 13.79/3.77 | (186) app(all_0_4_4, nil) = all_42_0_16
% 13.79/3.77 | (187) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_42_0_16, v0) = v1 & app(all_0_4_4, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (187) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 13.79/3.77 | (188) ? [v0] : ? [v1] : (app(all_42_0_16, all_0_2_2) = v0 & app(all_0_4_4, all_0_2_2) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (187) with nil and discharging atoms ssList(nil), yields:
% 13.79/3.77 | (189) ? [v0] : ? [v1] : (app(all_42_0_16, nil) = v0 & app(all_0_4_4, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating (149) with all_54_0_23 yields:
% 13.79/3.77 | (190) app(all_0_4_4, all_0_4_4) = all_54_0_23 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_54_0_23, v0) = v1 & app(all_0_4_4, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Applying alpha-rule on (190) yields:
% 13.79/3.77 | (191) app(all_0_4_4, all_0_4_4) = all_54_0_23
% 13.79/3.77 | (192) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_54_0_23, v0) = v1 & app(all_0_4_4, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (192) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 13.79/3.77 | (193) ? [v0] : ? [v1] : (app(all_54_0_23, all_0_2_2) = v0 & app(all_0_4_4, all_0_2_2) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (192) with nil and discharging atoms ssList(nil), yields:
% 13.79/3.77 | (194) ? [v0] : ? [v1] : (app(all_54_0_23, nil) = v0 & app(all_0_4_4, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating (148) with all_60_0_25 yields:
% 13.79/3.77 | (195) app(all_0_4_4, all_0_3_3) = all_60_0_25 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_60_0_25, v0) = v1 & app(all_0_4_4, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Applying alpha-rule on (195) yields:
% 13.79/3.77 | (196) app(all_0_4_4, all_0_3_3) = all_60_0_25
% 13.79/3.77 | (197) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_60_0_25, v0) = v1 & app(all_0_4_4, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (197) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 13.79/3.77 | (198) ? [v0] : ? [v1] : (app(all_60_0_25, all_0_2_2) = v0 & app(all_0_4_4, all_0_2_2) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating formula (197) with nil and discharging atoms ssList(nil), yields:
% 13.79/3.77 | (199) ? [v0] : ? [v1] : (app(all_60_0_25, nil) = v0 & app(all_0_4_4, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.79/3.77 |
% 13.79/3.77 | Instantiating (147) with all_63_0_26 yields:
% 13.79/3.77 | (200) app(all_0_3_3, all_0_4_4) = all_63_0_26 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_63_0_26, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.89/3.77 |
% 13.89/3.77 | Applying alpha-rule on (200) yields:
% 13.89/3.77 | (201) app(all_0_3_3, all_0_4_4) = all_63_0_26
% 13.89/3.77 | (202) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_63_0_26, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.89/3.77 |
% 13.89/3.77 | Instantiating formula (202) with nil and discharging atoms ssList(nil), yields:
% 13.89/3.77 | (203) ? [v0] : ? [v1] : (app(all_63_0_26, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.89/3.77 |
% 13.89/3.77 | Instantiating (146) with all_66_0_27 yields:
% 13.89/3.77 | (204) app(all_0_4_4, all_0_2_2) = all_66_0_27 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_66_0_27, v0) = v1 & app(all_0_4_4, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.89/3.77 |
% 13.89/3.77 | Applying alpha-rule on (204) yields:
% 13.89/3.77 | (205) app(all_0_4_4, all_0_2_2) = all_66_0_27
% 13.89/3.77 | (206) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_66_0_27, v0) = v1 & app(all_0_4_4, v0) = v2 & ( ~ (v2 = all_0_4_4) | ~ (v1 = all_0_3_3))))
% 13.89/3.77 |
% 13.89/3.77 | Instantiating formula (206) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 13.89/3.77 | (207) ? [v0] : ? [v1] : (app(all_66_0_27, all_0_2_2) = v0 & app(all_0_4_4, all_0_2_2) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.89/3.77 |
% 13.89/3.77 | Instantiating formula (206) with nil and discharging atoms ssList(nil), yields:
% 13.89/3.77 | (208) ? [v0] : ? [v1] : (app(all_66_0_27, nil) = v0 & app(all_0_4_4, nil) = v1 & ( ~ (v1 = all_0_4_4) | ~ (v0 = all_0_3_3)))
% 13.89/3.77 |
% 13.89/3.77 | Instantiating (160) with all_69_0_28, all_69_1_29 yields:
% 13.89/3.77 | (209) app(all_9_0_5, nil) = all_69_1_29 & app(nil, nil) = all_69_0_28 & ( ~ (all_69_0_28 = all_0_4_4) | ~ (all_69_1_29 = all_0_3_3))
% 13.89/3.77 |
% 13.89/3.77 | Applying alpha-rule on (209) yields:
% 13.89/3.77 | (210) app(all_9_0_5, nil) = all_69_1_29
% 13.89/3.77 | (211) app(nil, nil) = all_69_0_28
% 13.89/3.77 | (212) ~ (all_69_0_28 = all_0_4_4) | ~ (all_69_1_29 = all_0_3_3)
% 13.89/3.77 |
% 13.89/3.77 | Instantiating (159) with all_71_0_30, all_71_1_31 yields:
% 13.89/3.77 | (213) app(all_9_0_5, all_0_3_3) = all_71_1_31 & app(nil, all_0_3_3) = all_71_0_30 & ( ~ (all_71_0_30 = all_0_4_4) | ~ (all_71_1_31 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (213) yields:
% 13.89/3.78 | (214) app(all_9_0_5, all_0_3_3) = all_71_1_31
% 13.89/3.78 | (215) app(nil, all_0_3_3) = all_71_0_30
% 13.89/3.78 | (216) ~ (all_71_0_30 = all_0_4_4) | ~ (all_71_1_31 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (164) with all_77_0_36, all_77_1_37 yields:
% 13.89/3.78 | (217) app(all_12_0_6, nil) = all_77_1_37 & app(all_0_3_3, nil) = all_77_0_36 & ( ~ (all_77_0_36 = all_0_4_4) | ~ (all_77_1_37 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (217) yields:
% 13.89/3.78 | (218) app(all_12_0_6, nil) = all_77_1_37
% 13.89/3.78 | (219) app(all_0_3_3, nil) = all_77_0_36
% 13.89/3.78 | (220) ~ (all_77_0_36 = all_0_4_4) | ~ (all_77_1_37 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (168) with all_89_0_48, all_89_1_49 yields:
% 13.89/3.78 | (221) app(all_15_0_7, all_0_3_3) = all_89_1_49 & app(nil, all_0_3_3) = all_89_0_48 & ( ~ (all_89_0_48 = all_0_4_4) | ~ (all_89_1_49 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (221) yields:
% 13.89/3.78 | (222) app(all_15_0_7, all_0_3_3) = all_89_1_49
% 13.89/3.78 | (223) app(nil, all_0_3_3) = all_89_0_48
% 13.89/3.78 | (224) ~ (all_89_0_48 = all_0_4_4) | ~ (all_89_1_49 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (172) with all_101_0_60, all_101_1_61 yields:
% 13.89/3.78 | (225) app(all_21_0_9, nil) = all_101_1_61 & app(all_0_3_3, nil) = all_101_0_60 & ( ~ (all_101_0_60 = all_0_4_4) | ~ (all_101_1_61 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (225) yields:
% 13.89/3.78 | (226) app(all_21_0_9, nil) = all_101_1_61
% 13.89/3.78 | (227) app(all_0_3_3, nil) = all_101_0_60
% 13.89/3.78 | (228) ~ (all_101_0_60 = all_0_4_4) | ~ (all_101_1_61 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (176) with all_127_0_86, all_127_1_87 yields:
% 13.89/3.78 | (229) app(all_30_0_12, all_0_3_3) = all_127_1_87 & app(nil, all_0_3_3) = all_127_0_86 & ( ~ (all_127_0_86 = all_0_4_4) | ~ (all_127_1_87 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (229) yields:
% 13.89/3.78 | (230) app(all_30_0_12, all_0_3_3) = all_127_1_87
% 13.89/3.78 | (231) app(nil, all_0_3_3) = all_127_0_86
% 13.89/3.78 | (232) ~ (all_127_0_86 = all_0_4_4) | ~ (all_127_1_87 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (180) with all_133_0_92, all_133_1_93 yields:
% 13.89/3.78 | (233) app(all_33_0_13, nil) = all_133_1_93 & app(all_0_3_3, nil) = all_133_0_92 & ( ~ (all_133_0_92 = all_0_4_4) | ~ (all_133_1_93 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (233) yields:
% 13.89/3.78 | (234) app(all_33_0_13, nil) = all_133_1_93
% 13.89/3.78 | (235) app(all_0_3_3, nil) = all_133_0_92
% 13.89/3.78 | (236) ~ (all_133_0_92 = all_0_4_4) | ~ (all_133_1_93 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (184) with all_153_0_112, all_153_1_113 yields:
% 13.89/3.78 | (237) app(all_39_0_15, all_0_3_3) = all_153_1_113 & app(nil, all_0_3_3) = all_153_0_112 & ( ~ (all_153_0_112 = all_0_4_4) | ~ (all_153_1_113 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (237) yields:
% 13.89/3.78 | (238) app(all_39_0_15, all_0_3_3) = all_153_1_113
% 13.89/3.78 | (239) app(nil, all_0_3_3) = all_153_0_112
% 13.89/3.78 | (240) ~ (all_153_0_112 = all_0_4_4) | ~ (all_153_1_113 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (189) with all_157_0_116, all_157_1_117 yields:
% 13.89/3.78 | (241) app(all_42_0_16, nil) = all_157_1_117 & app(all_0_4_4, nil) = all_157_0_116 & ( ~ (all_157_0_116 = all_0_4_4) | ~ (all_157_1_117 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (241) yields:
% 13.89/3.78 | (242) app(all_42_0_16, nil) = all_157_1_117
% 13.89/3.78 | (243) app(all_0_4_4, nil) = all_157_0_116
% 13.89/3.78 | (244) ~ (all_157_0_116 = all_0_4_4) | ~ (all_157_1_117 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (188) with all_161_0_120, all_161_1_121 yields:
% 13.89/3.78 | (245) app(all_42_0_16, all_0_2_2) = all_161_1_121 & app(all_0_4_4, all_0_2_2) = all_161_0_120 & ( ~ (all_161_0_120 = all_0_4_4) | ~ (all_161_1_121 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (245) yields:
% 13.89/3.78 | (246) app(all_42_0_16, all_0_2_2) = all_161_1_121
% 13.89/3.78 | (247) app(all_0_4_4, all_0_2_2) = all_161_0_120
% 13.89/3.78 | (248) ~ (all_161_0_120 = all_0_4_4) | ~ (all_161_1_121 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (194) with all_173_0_132, all_173_1_133 yields:
% 13.89/3.78 | (249) app(all_54_0_23, nil) = all_173_1_133 & app(all_0_4_4, nil) = all_173_0_132 & ( ~ (all_173_0_132 = all_0_4_4) | ~ (all_173_1_133 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (249) yields:
% 13.89/3.78 | (250) app(all_54_0_23, nil) = all_173_1_133
% 13.89/3.78 | (251) app(all_0_4_4, nil) = all_173_0_132
% 13.89/3.78 | (252) ~ (all_173_0_132 = all_0_4_4) | ~ (all_173_1_133 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (193) with all_177_0_136, all_177_1_137 yields:
% 13.89/3.78 | (253) app(all_54_0_23, all_0_2_2) = all_177_1_137 & app(all_0_4_4, all_0_2_2) = all_177_0_136 & ( ~ (all_177_0_136 = all_0_4_4) | ~ (all_177_1_137 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (253) yields:
% 13.89/3.78 | (254) app(all_54_0_23, all_0_2_2) = all_177_1_137
% 13.89/3.78 | (255) app(all_0_4_4, all_0_2_2) = all_177_0_136
% 13.89/3.78 | (256) ~ (all_177_0_136 = all_0_4_4) | ~ (all_177_1_137 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (199) with all_189_0_148, all_189_1_149 yields:
% 13.89/3.78 | (257) app(all_60_0_25, nil) = all_189_1_149 & app(all_0_4_4, nil) = all_189_0_148 & ( ~ (all_189_0_148 = all_0_4_4) | ~ (all_189_1_149 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (257) yields:
% 13.89/3.78 | (258) app(all_60_0_25, nil) = all_189_1_149
% 13.89/3.78 | (259) app(all_0_4_4, nil) = all_189_0_148
% 13.89/3.78 | (260) ~ (all_189_0_148 = all_0_4_4) | ~ (all_189_1_149 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (198) with all_193_0_152, all_193_1_153 yields:
% 13.89/3.78 | (261) app(all_60_0_25, all_0_2_2) = all_193_1_153 & app(all_0_4_4, all_0_2_2) = all_193_0_152 & ( ~ (all_193_0_152 = all_0_4_4) | ~ (all_193_1_153 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (261) yields:
% 13.89/3.78 | (262) app(all_60_0_25, all_0_2_2) = all_193_1_153
% 13.89/3.78 | (263) app(all_0_4_4, all_0_2_2) = all_193_0_152
% 13.89/3.78 | (264) ~ (all_193_0_152 = all_0_4_4) | ~ (all_193_1_153 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (203) with all_197_0_156, all_197_1_157 yields:
% 13.89/3.78 | (265) app(all_63_0_26, nil) = all_197_1_157 & app(all_0_3_3, nil) = all_197_0_156 & ( ~ (all_197_0_156 = all_0_4_4) | ~ (all_197_1_157 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (265) yields:
% 13.89/3.78 | (266) app(all_63_0_26, nil) = all_197_1_157
% 13.89/3.78 | (267) app(all_0_3_3, nil) = all_197_0_156
% 13.89/3.78 | (268) ~ (all_197_0_156 = all_0_4_4) | ~ (all_197_1_157 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (208) with all_205_0_164, all_205_1_165 yields:
% 13.89/3.78 | (269) app(all_66_0_27, nil) = all_205_1_165 & app(all_0_4_4, nil) = all_205_0_164 & ( ~ (all_205_0_164 = all_0_4_4) | ~ (all_205_1_165 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (269) yields:
% 13.89/3.78 | (270) app(all_66_0_27, nil) = all_205_1_165
% 13.89/3.78 | (271) app(all_0_4_4, nil) = all_205_0_164
% 13.89/3.78 | (272) ~ (all_205_0_164 = all_0_4_4) | ~ (all_205_1_165 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating (207) with all_211_0_170, all_211_1_171 yields:
% 13.89/3.78 | (273) app(all_66_0_27, all_0_2_2) = all_211_1_171 & app(all_0_4_4, all_0_2_2) = all_211_0_170 & ( ~ (all_211_0_170 = all_0_4_4) | ~ (all_211_1_171 = all_0_3_3))
% 13.89/3.78 |
% 13.89/3.78 | Applying alpha-rule on (273) yields:
% 13.89/3.78 | (274) app(all_66_0_27, all_0_2_2) = all_211_1_171
% 13.89/3.78 | (275) app(all_0_4_4, all_0_2_2) = all_211_0_170
% 13.89/3.78 | (276) ~ (all_211_0_170 = all_0_4_4) | ~ (all_211_1_171 = all_0_3_3)
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_3_3, nil, all_133_0_92, all_197_0_156 and discharging atoms app(all_0_3_3, nil) = all_197_0_156, app(all_0_3_3, nil) = all_133_0_92, yields:
% 13.89/3.78 | (277) all_197_0_156 = all_133_0_92
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (9) with all_133_0_92, all_0_3_3 and discharging atoms app(all_0_3_3, nil) = all_133_0_92, ssList(all_0_3_3), yields:
% 13.89/3.78 | (278) all_133_0_92 = all_0_3_3
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_3_3, nil, all_101_0_60, all_197_0_156 and discharging atoms app(all_0_3_3, nil) = all_197_0_156, app(all_0_3_3, nil) = all_101_0_60, yields:
% 13.89/3.78 | (279) all_197_0_156 = all_101_0_60
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_3_3, nil, all_77_0_36, all_133_0_92 and discharging atoms app(all_0_3_3, nil) = all_133_0_92, app(all_0_3_3, nil) = all_77_0_36, yields:
% 13.89/3.78 | (280) all_133_0_92 = all_77_0_36
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_3_3, nil, all_12_0_6, all_77_0_36 and discharging atoms app(all_0_3_3, nil) = all_77_0_36, app(all_0_3_3, nil) = all_12_0_6, yields:
% 13.89/3.78 | (281) all_77_0_36 = all_12_0_6
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_4_4, all_0_2_2, all_211_0_170, all_0_3_3 and discharging atoms app(all_0_4_4, all_0_2_2) = all_211_0_170, app(all_0_4_4, all_0_2_2) = all_0_3_3, yields:
% 13.89/3.78 | (282) all_211_0_170 = all_0_3_3
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_4_4, all_0_2_2, all_193_0_152, all_211_0_170 and discharging atoms app(all_0_4_4, all_0_2_2) = all_211_0_170, app(all_0_4_4, all_0_2_2) = all_193_0_152, yields:
% 13.89/3.78 | (283) all_211_0_170 = all_193_0_152
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_4_4, all_0_2_2, all_177_0_136, all_211_0_170 and discharging atoms app(all_0_4_4, all_0_2_2) = all_211_0_170, app(all_0_4_4, all_0_2_2) = all_177_0_136, yields:
% 13.89/3.78 | (284) all_211_0_170 = all_177_0_136
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_4_4, all_0_2_2, all_161_0_120, all_177_0_136 and discharging atoms app(all_0_4_4, all_0_2_2) = all_177_0_136, app(all_0_4_4, all_0_2_2) = all_161_0_120, yields:
% 13.89/3.78 | (285) all_177_0_136 = all_161_0_120
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_4_4, all_0_2_2, all_66_0_27, all_161_0_120 and discharging atoms app(all_0_4_4, all_0_2_2) = all_161_0_120, app(all_0_4_4, all_0_2_2) = all_66_0_27, yields:
% 13.89/3.78 | (286) all_161_0_120 = all_66_0_27
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_4_4, nil, all_189_0_148, all_205_0_164 and discharging atoms app(all_0_4_4, nil) = all_205_0_164, app(all_0_4_4, nil) = all_189_0_148, yields:
% 13.89/3.78 | (287) all_205_0_164 = all_189_0_148
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_4_4, nil, all_173_0_132, all_189_0_148 and discharging atoms app(all_0_4_4, nil) = all_189_0_148, app(all_0_4_4, nil) = all_173_0_132, yields:
% 13.89/3.78 | (288) all_189_0_148 = all_173_0_132
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (7) with all_0_4_4, nil, all_157_0_116, all_173_0_132 and discharging atoms app(all_0_4_4, nil) = all_173_0_132, app(all_0_4_4, nil) = all_157_0_116, yields:
% 13.89/3.78 | (289) all_173_0_132 = all_157_0_116
% 13.89/3.78 |
% 13.89/3.78 | Instantiating formula (9) with all_157_0_116, all_0_4_4 and discharging atoms app(all_0_4_4, nil) = all_157_0_116, ssList(all_0_4_4), yields:
% 13.89/3.79 | (290) all_157_0_116 = all_0_4_4
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (7) with all_0_4_4, nil, all_42_0_16, all_205_0_164 and discharging atoms app(all_0_4_4, nil) = all_205_0_164, app(all_0_4_4, nil) = all_42_0_16, yields:
% 13.89/3.79 | (291) all_205_0_164 = all_42_0_16
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (75) with all_153_0_112, all_0_3_3 and discharging atoms app(nil, all_0_3_3) = all_153_0_112, ssList(all_0_3_3), yields:
% 13.89/3.79 | (292) all_153_0_112 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (7) with nil, all_0_3_3, all_127_0_86, all_153_0_112 and discharging atoms app(nil, all_0_3_3) = all_153_0_112, app(nil, all_0_3_3) = all_127_0_86, yields:
% 13.89/3.79 | (293) all_153_0_112 = all_127_0_86
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (7) with nil, all_0_3_3, all_89_0_48, all_127_0_86 and discharging atoms app(nil, all_0_3_3) = all_127_0_86, app(nil, all_0_3_3) = all_89_0_48, yields:
% 13.89/3.79 | (294) all_127_0_86 = all_89_0_48
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (7) with nil, all_0_3_3, all_71_0_30, all_89_0_48 and discharging atoms app(nil, all_0_3_3) = all_89_0_48, app(nil, all_0_3_3) = all_71_0_30, yields:
% 13.89/3.79 | (295) all_89_0_48 = all_71_0_30
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (7) with nil, all_0_3_3, all_9_0_5, all_71_0_30 and discharging atoms app(nil, all_0_3_3) = all_71_0_30, app(nil, all_0_3_3) = all_9_0_5, yields:
% 13.89/3.79 | (296) all_71_0_30 = all_9_0_5
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (284,283) yields a new equation:
% 13.89/3.79 | (297) all_193_0_152 = all_177_0_136
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (282,283) yields a new equation:
% 13.89/3.79 | (298) all_193_0_152 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (287,291) yields a new equation:
% 13.89/3.79 | (299) all_189_0_148 = all_42_0_16
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 299 yields:
% 13.89/3.79 | (300) all_189_0_148 = all_42_0_16
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (277,279) yields a new equation:
% 13.89/3.79 | (301) all_133_0_92 = all_101_0_60
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 301 yields:
% 13.89/3.79 | (302) all_133_0_92 = all_101_0_60
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (297,298) yields a new equation:
% 13.89/3.79 | (303) all_177_0_136 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 303 yields:
% 13.89/3.79 | (304) all_177_0_136 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (288,300) yields a new equation:
% 13.89/3.79 | (305) all_173_0_132 = all_42_0_16
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 305 yields:
% 13.89/3.79 | (306) all_173_0_132 = all_42_0_16
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (285,304) yields a new equation:
% 13.89/3.79 | (307) all_161_0_120 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 307 yields:
% 13.89/3.79 | (308) all_161_0_120 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (289,306) yields a new equation:
% 13.89/3.79 | (309) all_157_0_116 = all_42_0_16
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 309 yields:
% 13.89/3.79 | (310) all_157_0_116 = all_42_0_16
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (308,286) yields a new equation:
% 13.89/3.79 | (311) all_66_0_27 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (290,310) yields a new equation:
% 13.89/3.79 | (312) all_42_0_16 = all_0_4_4
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (293,292) yields a new equation:
% 13.89/3.79 | (313) all_127_0_86 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 313 yields:
% 13.89/3.79 | (314) all_127_0_86 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (278,302) yields a new equation:
% 13.89/3.79 | (315) all_101_0_60 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (280,302) yields a new equation:
% 13.89/3.79 | (316) all_101_0_60 = all_77_0_36
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (294,314) yields a new equation:
% 13.89/3.79 | (317) all_89_0_48 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 317 yields:
% 13.89/3.79 | (318) all_89_0_48 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (316,315) yields a new equation:
% 13.89/3.79 | (319) all_77_0_36 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 319 yields:
% 13.89/3.79 | (320) all_77_0_36 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (295,318) yields a new equation:
% 13.89/3.79 | (321) all_71_0_30 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 321 yields:
% 13.89/3.79 | (322) all_71_0_30 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (281,320) yields a new equation:
% 13.89/3.79 | (323) all_12_0_6 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 323 yields:
% 13.89/3.79 | (324) all_12_0_6 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (296,322) yields a new equation:
% 13.89/3.79 | (325) all_9_0_5 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 325 yields:
% 13.89/3.79 | (326) all_9_0_5 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (312,291) yields a new equation:
% 13.89/3.79 | (327) all_205_0_164 = all_0_4_4
% 13.89/3.79 |
% 13.89/3.79 | From (311) and (270) follows:
% 13.89/3.79 | (328) app(all_0_3_3, nil) = all_205_1_165
% 13.89/3.79 |
% 13.89/3.79 | From (324) and (218) follows:
% 13.89/3.79 | (329) app(all_0_3_3, nil) = all_77_1_37
% 13.89/3.79 |
% 13.89/3.79 | From (326) and (210) follows:
% 13.89/3.79 | (330) app(all_0_3_3, nil) = all_69_1_29
% 13.89/3.79 |
% 13.89/3.79 | From (324) and (162) follows:
% 13.89/3.79 | (331) app(all_0_3_3, nil) = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 +-Applying beta-rule and splitting (272), into two cases.
% 13.89/3.79 |-Branch one:
% 13.89/3.79 | (332) ~ (all_205_0_164 = all_0_4_4)
% 13.89/3.79 |
% 13.89/3.79 | Equations (327) can reduce 332 to:
% 13.89/3.79 | (333) $false
% 13.89/3.79 |
% 13.89/3.79 |-The branch is then unsatisfiable
% 13.89/3.79 |-Branch two:
% 13.89/3.79 | (327) all_205_0_164 = all_0_4_4
% 13.89/3.79 | (335) ~ (all_205_1_165 = all_0_3_3)
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (7) with all_0_3_3, nil, all_77_1_37, all_205_1_165 and discharging atoms app(all_0_3_3, nil) = all_205_1_165, app(all_0_3_3, nil) = all_77_1_37, yields:
% 13.89/3.79 | (336) all_205_1_165 = all_77_1_37
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (7) with all_0_3_3, nil, all_69_1_29, all_205_1_165 and discharging atoms app(all_0_3_3, nil) = all_205_1_165, app(all_0_3_3, nil) = all_69_1_29, yields:
% 13.89/3.79 | (337) all_205_1_165 = all_69_1_29
% 13.89/3.79 |
% 13.89/3.79 | Instantiating formula (7) with all_0_3_3, nil, all_0_3_3, all_77_1_37 and discharging atoms app(all_0_3_3, nil) = all_77_1_37, app(all_0_3_3, nil) = all_0_3_3, yields:
% 13.89/3.79 | (338) all_77_1_37 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (336,337) yields a new equation:
% 13.89/3.79 | (339) all_77_1_37 = all_69_1_29
% 13.89/3.79 |
% 13.89/3.79 | Simplifying 339 yields:
% 13.89/3.79 | (340) all_77_1_37 = all_69_1_29
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (338,340) yields a new equation:
% 13.89/3.79 | (341) all_69_1_29 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Combining equations (341,337) yields a new equation:
% 13.89/3.79 | (342) all_205_1_165 = all_0_3_3
% 13.89/3.79 |
% 13.89/3.79 | Equations (342) can reduce 335 to:
% 13.89/3.79 | (333) $false
% 13.89/3.79 |
% 13.89/3.79 |-The branch is then unsatisfiable
% 13.89/3.79 % SZS output end Proof for theBenchmark
% 13.89/3.79
% 13.89/3.79 3171ms
%------------------------------------------------------------------------------