TSTP Solution File: SWC008+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 8.61s 2.60s
% Output : Proof 21.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 12 07:44:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/0.59 ____ _
% 0.60/0.59 ___ / __ \_____(_)___ ________ __________
% 0.60/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.59
% 0.60/0.59 A Theorem Prover for First-Order Logic
% 0.60/0.59 (ePrincess v.1.0)
% 0.60/0.59
% 0.60/0.59 (c) Philipp Rümmer, 2009-2015
% 0.60/0.59 (c) Peter Backeman, 2014-2015
% 0.60/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.59 Bug reports to peter@backeman.se
% 0.60/0.59
% 0.60/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.59
% 0.60/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.75/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.27/1.07 Prover 0: Preprocessing ...
% 4.69/1.69 Prover 0: Constructing countermodel ...
% 8.61/2.59 Prover 0: proved (1949ms)
% 8.61/2.60
% 8.61/2.60 No countermodel exists, formula is valid
% 8.61/2.60 % SZS status Theorem for theBenchmark
% 8.61/2.60
% 8.61/2.60 Generating proof ... found it (size 226)
% 20.32/7.88
% 20.32/7.88 % SZS output start Proof for theBenchmark
% 20.32/7.89 Assumed formulas after preprocessing and simplification:
% 20.32/7.89 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = v2) & equalelemsP(v0) & equalelemsP(nil) & duplicatefreeP(nil) & strictorderedP(nil) & totalorderedP(nil) & strictorderP(nil) & totalorderP(nil) & cyclefreeP(nil) & segmentP(nil, nil) & rearsegP(nil, nil) & frontsegP(v1, v0) & frontsegP(nil, nil) & ssList(v1) & ssList(v0) & ssList(nil) & ssItem(v3) & ssItem(v2) & ~ singletonP(nil) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cons(v6, v11) = v12) | ~ (cons(v5, v8) = v9) | ~ (app(v10, v12) = v4) | ~ (app(v7, v9) = v10) | ~ strictorderedP(v4) | ~ ssList(v11) | ~ ssList(v8) | ~ ssList(v7) | ~ ssList(v4) | ~ ssItem(v6) | ~ ssItem(v5) | lt(v5, v6)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cons(v6, v11) = v12) | ~ (cons(v5, v8) = v9) | ~ (app(v10, v12) = v4) | ~ (app(v7, v9) = v10) | ~ totalorderedP(v4) | ~ ssList(v11) | ~ ssList(v8) | ~ ssList(v7) | ~ ssList(v4) | ~ ssItem(v6) | ~ ssItem(v5) | leq(v5, v6)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cons(v6, v11) = v12) | ~ (cons(v5, v8) = v9) | ~ (app(v10, v12) = v4) | ~ (app(v7, v9) = v10) | ~ strictorderP(v4) | ~ ssList(v11) | ~ ssList(v8) | ~ ssList(v7) | ~ ssList(v4) | ~ ssItem(v6) | ~ ssItem(v5) | lt(v6, v5) | lt(v5, v6)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cons(v6, v11) = v12) | ~ (cons(v5, v8) = v9) | ~ (app(v10, v12) = v4) | ~ (app(v7, v9) = v10) | ~ totalorderP(v4) | ~ ssList(v11) | ~ ssList(v8) | ~ ssList(v7) | ~ ssList(v4) | ~ ssItem(v6) | ~ ssItem(v5) | leq(v6, v5) | leq(v5, v6)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (cons(v6, v11) = v12) | ~ (cons(v5, v8) = v9) | ~ (app(v10, v12) = v4) | ~ (app(v7, v9) = v10) | ~ leq(v6, v5) | ~ leq(v5, v6) | ~ cyclefreeP(v4) | ~ ssList(v11) | ~ ssList(v8) | ~ ssList(v7) | ~ ssList(v4) | ~ ssItem(v6) | ~ ssItem(v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (cons(v5, v10) = v11) | ~ (cons(v5, v7) = v8) | ~ (app(v9, v11) = v4) | ~ (app(v6, v8) = v9) | ~ duplicatefreeP(v4) | ~ ssList(v10) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v4) | ~ ssItem(v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v6 = v5 | ~ (cons(v6, v8) = v9) | ~ (cons(v5, v9) = v10) | ~ (app(v7, v10) = v4) | ~ equalelemsP(v4) | ~ ssList(v8) | ~ ssList(v7) | ~ ssList(v4) | ~ ssItem(v6) | ~ ssItem(v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v5 = v4 | ~ (cons(v5, v8) = v9) | ~ (cons(v4, v6) = v7) | ~ frontsegP(v7, v9) | ~ ssList(v8) | ~ ssList(v6) | ~ ssItem(v5) | ~ ssItem(v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (cons(v7, v5) = v8) | ~ (app(v8, v4) = v9) | ~ (app(v5, v4) = v6) | ~ ssList(v5) | ~ ssList(v4) | ~ ssItem(v7) | cons(v7, v6) = v9) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (cons(v5, v8) = v9) | ~ (cons(v4, v6) = v7) | ~ frontsegP(v7, v9) | ~ ssList(v8) | ~ ssList(v6) | ~ ssItem(v5) | ~ ssItem(v4) | frontsegP(v6, v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (app(v7, v8) = v9) | ~ (app(v6, v4) = v7) | ~ segmentP(v4, v5) | ~ ssList(v8) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | segmentP(v9, v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (app(v5, v7) = v8) | ~ (app(v4, v8) = v9) | ~ (app(v4, v5) = v6) | ~ ssList(v7) | ~ ssList(v5) | ~ ssList(v4) | app(v6, v7) = v9) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v6 | ~ (cons(v8, v5) = v7) | ~ (cons(v6, v4) = v7) | ~ ssList(v5) | ~ ssList(v4) | ~ ssItem(v8) | ~ ssItem(v6)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = v4 | ~ (cons(v8, v5) = v7) | ~ (cons(v6, v4) = v7) | ~ ssList(v5) | ~ ssList(v4) | ~ ssItem(v8) | ~ ssItem(v6)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v7, v6) = v8) | ~ (app(v5, v4) = v6) | ~ ssList(v5) | ~ ssList(v4) | ~ ssItem(v7) | ? [v9] : (cons(v7, v5) = v9 & app(v9, v4) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v5, v7) = v8) | ~ (app(v6, v8) = v4) | ~ ssList(v7) | ~ ssList(v6) | ~ ssList(v4) | ~ ssItem(v5) | memberP(v4, v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cons(v4, v7) = v8) | ~ (cons(v4, v5) = v6) | ~ frontsegP(v5, v7) | ~ ssList(v7) | ~ ssList(v5) | ~ ssItem(v4) | frontsegP(v6, v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (app(v7, v8) = v4) | ~ (app(v6, v5) = v7) | ~ ssList(v8) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | segmentP(v4, v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (app(v6, v7) = v8) | ~ (app(v4, v5) = v6) | ~ ssList(v7) | ~ ssList(v5) | ~ ssList(v4) | ? [v9] : (app(v5, v7) = v9 & app(v4, v9) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v4 | v4 = nil | ~ (tl(v4) = v6) | ~ (hd(v4) = v5) | ~ (cons(v5, v6) = v7) | ~ ssList(v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v4 | ~ (app(v7, v5) = v6) | ~ (app(v4, v5) = v6) | ~ ssList(v7) | ~ ssList(v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v4 | ~ (app(v5, v7) = v6) | ~ (app(v5, v4) = v6) | ~ ssList(v7) | ~ ssList(v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (cons(v7, v6) = v5) | ~ (cons(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (cons(v5, v6) = v7) | ~ memberP(v7, v4) | ~ ssList(v6) | ~ ssItem(v5) | ~ ssItem(v4) | memberP(v6, v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (app(v7, v6) = v5) | ~ (app(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v4 = nil | ~ (tl(v4) = v5) | ~ (app(v5, v6) = v7) | ~ ssList(v6) | ~ ssList(v4) | ? [v8] : (tl(v8) = v7 & app(v4, v6) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v4 = nil | ~ (tl(v4) = v5) | ~ (app(v4, v6) = v7) | ~ ssList(v6) | ~ ssList(v4) | ? [v8] : (tl(v7) = v8 & app(v5, v6) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v4 = nil | ~ (hd(v4) = v5) | ~ (app(v4, v6) = v7) | ~ ssList(v6) | ~ ssList(v4) | hd(v7) = v5) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v5, v6) = v7) | ~ memberP(v6, v4) | ~ ssList(v6) | ~ ssItem(v5) | ~ ssItem(v4) | memberP(v7, v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (cons(v5, nil) = v6) | ~ (app(v6, v4) = v7) | ~ ssList(v4) | ~ ssItem(v5) | cons(v5, v4) = v7) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (app(v6, v4) = v7) | ~ rearsegP(v4, v5) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | rearsegP(v7, v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (app(v5, v6) = v7) | ~ memberP(v7, v4) | ~ ssList(v6) | ~ ssList(v5) | ~ ssItem(v4) | memberP(v6, v4) | memberP(v5, v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (app(v5, v6) = v7) | ~ memberP(v6, v4) | ~ ssList(v6) | ~ ssList(v5) | ~ ssItem(v4) | memberP(v7, v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (app(v5, v6) = v7) | ~ memberP(v5, v4) | ~ ssList(v6) | ~ ssList(v5) | ~ ssItem(v4) | memberP(v7, v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (app(v4, v6) = v7) | ~ frontsegP(v4, v5) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | frontsegP(v7, v5)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (tl(v6) = v5) | ~ (tl(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (hd(v6) = v5) | ~ (hd(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (hd(v5) = v6) | ~ ssList(v5) | ~ ssItem(v4) | ? [v7] : (cons(v4, v5) = v7 & (v5 = nil | ~ strictorderedP(v7) | (strictorderedP(v5) & lt(v4, v6))) & (strictorderedP(v7) | ( ~ (v5 = nil) & ( ~ strictorderedP(v5) | ~ lt(v4, v6)))))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (hd(v5) = v6) | ~ ssList(v5) | ~ ssItem(v4) | ? [v7] : (cons(v4, v5) = v7 & (v5 = nil | ~ totalorderedP(v7) | (totalorderedP(v5) & leq(v4, v6))) & (totalorderedP(v7) | ( ~ (v5 = nil) & ( ~ totalorderedP(v5) | ~ leq(v4, v6)))))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (cons(v5, v4) = v6) | ~ ssList(v4) | ~ ssItem(v5) | tl(v6) = v4) & ! [v4] : ! [v5] : ! [v6] : ( ~ (cons(v5, v4) = v6) | ~ ssList(v4) | ~ ssItem(v5) | hd(v6) = v5) & ! [v4] : ! [v5] : ! [v6] : ( ~ (cons(v5, v4) = v6) | ~ ssList(v4) | ~ ssItem(v5) | ssList(v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (cons(v5, v4) = v6) | ~ ssList(v4) | ~ ssItem(v5) | ? [v7] : (cons(v5, nil) = v7 & app(v7, v4) = v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (cons(v4, v5) = v6) | ~ ssList(v5) | ~ ssItem(v4) | memberP(v6, v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (cons(v4, v5) = v6) | ~ ssList(v5) | ~ ssItem(v4) | ? [v7] : (hd(v5) = v7 & (v5 = nil | ~ strictorderedP(v6) | (strictorderedP(v5) & lt(v4, v7))) & (strictorderedP(v6) | ( ~ (v5 = nil) & ( ~ strictorderedP(v5) | ~ lt(v4, v7)))))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (cons(v4, v5) = v6) | ~ ssList(v5) | ~ ssItem(v4) | ? [v7] : (hd(v5) = v7 & (v5 = nil | ~ totalorderedP(v6) | (totalorderedP(v5) & leq(v4, v7))) & (totalorderedP(v6) | ( ~ (v5 = nil) & ( ~ totalorderedP(v5) | ~ leq(v4, v7)))))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (app(v6, v5) = v4) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | rearsegP(v4, v5)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (app(v5, v6) = v4) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | frontsegP(v4, v5)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (app(v4, v5) = v6) | ~ ssList(v5) | ~ ssList(v4) | ssList(v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ gt(v5, v6) | ~ gt(v4, v5) | ~ ssItem(v6) | ~ ssItem(v5) | ~ ssItem(v4) | gt(v4, v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ geq(v5, v6) | ~ geq(v4, v5) | ~ ssItem(v6) | ~ ssItem(v5) | ~ ssItem(v4) | geq(v4, v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ lt(v5, v6) | ~ lt(v4, v5) | ~ ssItem(v6) | ~ ssItem(v5) | ~ ssItem(v4) | lt(v4, v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ lt(v5, v6) | ~ leq(v4, v5) | ~ ssItem(v6) | ~ ssItem(v5) | ~ ssItem(v4) | lt(v4, v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ leq(v5, v6) | ~ leq(v4, v5) | ~ ssItem(v6) | ~ ssItem(v5) | ~ ssItem(v4) | leq(v4, v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ segmentP(v5, v6) | ~ segmentP(v4, v5) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | segmentP(v4, v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ rearsegP(v5, v6) | ~ rearsegP(v4, v5) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | rearsegP(v4, v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ frontsegP(v5, v6) | ~ frontsegP(v4, v5) | ~ ssList(v6) | ~ ssList(v5) | ~ ssList(v4) | frontsegP(v4, v6)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (app(v4, nil) = v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (app(nil, v4) = v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : (v5 = v4 | ~ geq(v5, v4) | ~ geq(v4, v5) | ~ ssItem(v5) | ~ ssItem(v4)) & ! [v4] : ! [v5] : (v5 = v4 | ~ leq(v5, v4) | ~ leq(v4, v5) | ~ ssItem(v5) | ~ ssItem(v4)) & ! [v4] : ! [v5] : (v5 = v4 | ~ leq(v4, v5) | ~ ssItem(v5) | ~ ssItem(v4) | lt(v4, v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ segmentP(v5, v4) | ~ segmentP(v4, v5) | ~ ssList(v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : (v5 = v4 | ~ rearsegP(v5, v4) | ~ rearsegP(v4, v5) | ~ ssList(v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : (v5 = v4 | ~ frontsegP(v5, v4) | ~ frontsegP(v4, v5) | ~ ssList(v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : (v5 = v4 | ~ ssList(v5) | ~ ssList(v4) | neq(v4, v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ ssItem(v5) | ~ ssItem(v4) | neq(v4, v5)) & ! [v4] : ! [v5] : (v5 = nil | ~ (app(v4, v5) = nil) | ~ ssList(v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : (v4 = nil | ~ (tl(v4) = v5) | ~ ssList(v4) | ssList(v5)) & ! [v4] : ! [v5] : (v4 = nil | ~ (hd(v4) = v5) | ~ ssList(v4) | ssItem(v5)) & ! [v4] : ! [v5] : (v4 = nil | ~ (app(v4, v5) = nil) | ~ ssList(v5) | ~ ssList(v4)) & ! [v4] : ! [v5] : ( ~ (tl(v4) = v5) | ~ ssList(v4) | ? [v6] : (hd(v4) = v6 & ! [v7] : (v7 = v4 | v7 = nil | v4 = nil | ~ (tl(v7) = v5) | ~ ssList(v7) | ? [v8] : ( ~ (v8 = v6) & hd(v7) = v8)) & ! [v7] : (v7 = v4 | v7 = nil | v4 = nil | ~ (hd(v7) = v6) | ~ ssList(v7) | ? [v8] : ( ~ (v8 = v5) & tl(v7) = v8)))) & ! [v4] : ! [v5] : ( ~ (hd(v4) = v5) | ~ ssList(v4) | ? [v6] : (tl(v4) = v6 & ! [v7] : (v7 = v4 | v7 = nil | v4 = nil | ~ (tl(v7) = v6) | ~ ssList(v7) | ? [v8] : ( ~ (v8 = v5) & hd(v7) = v8)) & ! [v7] : (v7 = v4 | v7 = nil | v4 = nil | ~ (hd(v7) = v5) | ~ ssList(v7) | ? [v8] : ( ~ (v8 = v6) & tl(v7) = v8)))) & ! [v4] : ! [v5] : ( ~ (cons(v5, v4) = v4) | ~ ssList(v4) | ~ ssItem(v5)) & ! [v4] : ! [v5] : ( ~ (cons(v5, v4) = nil) | ~ ssList(v4) | ~ ssItem(v5)) & ! [v4] : ! [v5] : ( ~ (cons(v5, nil) = v4) | ~ ssList(v4) | ~ ssItem(v5) | singletonP(v4)) & ! [v4] : ! [v5] : ( ~ (cons(v4, nil) = v5) | ~ ssItem(v4) | equalelemsP(v5)) & ! [v4] : ! [v5] : ( ~ (cons(v4, nil) = v5) | ~ ssItem(v4) | duplicatefreeP(v5)) & ! [v4] : ! [v5] : ( ~ (cons(v4, nil) = v5) | ~ ssItem(v4) | strictorderedP(v5)) & ! [v4] : ! [v5] : ( ~ (cons(v4, nil) = v5) | ~ ssItem(v4) | totalorderedP(v5)) & ! [v4] : ! [v5] : ( ~ (cons(v4, nil) = v5) | ~ ssItem(v4) | strictorderP(v5)) & ! [v4] : ! [v5] : ( ~ (cons(v4, nil) = v5) | ~ ssItem(v4) | totalorderP(v5)) & ! [v4] : ! [v5] : ( ~ (cons(v4, nil) = v5) | ~ ssItem(v4) | cyclefreeP(v5)) & ! [v4] : ! [v5] : ( ~ gt(v5, v4) | ~ gt(v4, v5) | ~ ssItem(v5) | ~ ssItem(v4)) & ! [v4] : ! [v5] : ( ~ gt(v4, v5) | ~ ssItem(v5) | ~ ssItem(v4) | lt(v5, v4)) & ! [v4] : ! [v5] : ( ~ geq(v4, v5) | ~ ssItem(v5) | ~ ssItem(v4) | leq(v5, v4)) & ! [v4] : ! [v5] : ( ~ lt(v5, v4) | ~ lt(v4, v5) | ~ ssItem(v5) | ~ ssItem(v4)) & ! [v4] : ! [v5] : ( ~ lt(v5, v4) | ~ ssItem(v5) | ~ ssItem(v4) | gt(v4, v5)) & ! [v4] : ! [v5] : ( ~ lt(v4, v5) | ~ ssItem(v5) | ~ ssItem(v4) | leq(v4, v5)) & ! [v4] : ! [v5] : ( ~ leq(v5, v4) | ~ ssItem(v5) | ~ ssItem(v4) | geq(v4, v5)) & ! [v4] : ! [v5] : ( ~ segmentP(v4, v5) | ~ ssList(v5) | ~ ssList(v4) | ? [v6] : ? [v7] : ? [v8] : (app(v7, v8) = v4 & app(v6, v5) = v7 & ssList(v8) & ssList(v6))) & ! [v4] : ! [v5] : ( ~ rearsegP(v4, v5) | ~ ssList(v5) | ~ ssList(v4) | ? [v6] : (app(v6, v5) = v4 & ssList(v6))) & ! [v4] : ! [v5] : ( ~ frontsegP(v4, v5) | ~ ssList(v5) | ~ ssList(v4) | ? [v6] : (app(v5, v6) = v4 & ssList(v6))) & ! [v4] : ! [v5] : ( ~ memberP(v4, v5) | ~ ssList(v4) | ~ ssItem(v5) | ? [v6] : ? [v7] : ? [v8] : (cons(v5, v7) = v8 & app(v6, v8) = v4 & ssList(v7) & ssList(v6))) & ! [v4] : ! [v5] : ( ~ ssList(v5) | ~ ssList(v4) | ? [v6] : (app(v4, v5) = v6 & ! [v7] : ( ~ ssList(v7) | ? [v8] : ? [v9] : (app(v6, v7) = v8 & app(v4, v7) = v9 & ( ~ (v9 = v0) | ~ (v8 = v1)))))) & ! [v4] : (v4 = nil | ~ (app(nil, nil) = v4)) & ! [v4] : (v4 = nil | ~ segmentP(nil, v4) | ~ ssList(v4)) & ! [v4] : (v4 = nil | ~ rearsegP(nil, v4) | ~ ssList(v4)) & ! [v4] : (v4 = nil | ~ frontsegP(nil, v4) | ~ ssList(v4)) & ! [v4] : (v4 = nil | ~ ssList(v4) | ? [v5] : ? [v6] : (cons(v6, v5) = v4 & ssList(v5) & ssItem(v6))) & ! [v4] : ( ~ equalelemsP(v4) | ~ segmentP(v4, v0) | ~ frontsegP(v1, v4) | ~ ssList(v4) | ~ neq(v0, v4)) & ! [v4] : ( ~ lt(v4, v4) | ~ ssItem(v4)) & ! [v4] : ( ~ singletonP(v4) | ~ ssList(v4) | ? [v5] : (cons(v5, nil) = v4 & ssItem(v5))) & ! [v4] : ( ~ memberP(nil, v4) | ~ ssItem(v4)) & ! [v4] : ( ~ ssList(v4) | ~ neq(v4, v4)) & ! [v4] : ( ~ ssList(v4) | equalelemsP(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v6 = v5) & cons(v6, v8) = v9 & cons(v5, v9) = v10 & app(v7, v10) = v4 & ssList(v8) & ssList(v7) & ssItem(v6) & ssItem(v5))) & ! [v4] : ( ~ ssList(v4) | duplicatefreeP(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (cons(v5, v10) = v11 & cons(v5, v7) = v8 & app(v9, v11) = v4 & app(v6, v8) = v9 & ssList(v10) & ssList(v7) & ssList(v6) & ssItem(v5))) & ! [v4] : ( ~ ssList(v4) | strictorderedP(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (cons(v6, v11) = v12 & cons(v5, v8) = v9 & app(v10, v12) = v4 & app(v7, v9) = v10 & ssList(v11) & ssList(v8) & ssList(v7) & ssItem(v6) & ssItem(v5) & ~ lt(v5, v6))) & ! [v4] : ( ~ ssList(v4) | totalorderedP(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (cons(v6, v11) = v12 & cons(v5, v8) = v9 & app(v10, v12) = v4 & app(v7, v9) = v10 & ssList(v11) & ssList(v8) & ssList(v7) & ssItem(v6) & ssItem(v5) & ~ leq(v5, v6))) & ! [v4] : ( ~ ssList(v4) | strictorderP(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (cons(v6, v11) = v12 & cons(v5, v8) = v9 & app(v10, v12) = v4 & app(v7, v9) = v10 & ssList(v11) & ssList(v8) & ssList(v7) & ssItem(v6) & ssItem(v5) & ~ lt(v6, v5) & ~ lt(v5, v6))) & ! [v4] : ( ~ ssList(v4) | totalorderP(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (cons(v6, v11) = v12 & cons(v5, v8) = v9 & app(v10, v12) = v4 & app(v7, v9) = v10 & ssList(v11) & ssList(v8) & ssList(v7) & ssItem(v6) & ssItem(v5) & ~ leq(v6, v5) & ~ leq(v5, v6))) & ! [v4] : ( ~ ssList(v4) | cyclefreeP(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (cons(v6, v11) = v12 & cons(v5, v8) = v9 & app(v10, v12) = v4 & app(v7, v9) = v10 & leq(v6, v5) & leq(v5, v6) & ssList(v11) & ssList(v8) & ssList(v7) & ssItem(v6) & ssItem(v5))) & ! [v4] : ( ~ ssList(v4) | segmentP(v4, v4)) & ! [v4] : ( ~ ssList(v4) | segmentP(v4, nil)) & ! [v4] : ( ~ ssList(v4) | rearsegP(v4, v4)) & ! [v4] : ( ~ ssList(v4) | rearsegP(v4, nil)) & ! [v4] : ( ~ ssList(v4) | frontsegP(v4, v4)) & ! [v4] : ( ~ ssList(v4) | frontsegP(v4, nil)) & ! [v4] : ( ~ neq(v4, v4) | ~ ssItem(v4)) & ! [v4] : ( ~ ssItem(v4) | geq(v4, v4)) & ! [v4] : ( ~ ssItem(v4) | leq(v4, v4)))
% 20.67/7.96 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields:
% 20.67/7.96 | (1) ~ (all_0_0_0 = all_0_1_1) & equalelemsP(all_0_3_3) & equalelemsP(nil) & duplicatefreeP(nil) & strictorderedP(nil) & totalorderedP(nil) & strictorderP(nil) & totalorderP(nil) & cyclefreeP(nil) & segmentP(nil, nil) & rearsegP(nil, nil) & frontsegP(all_0_2_2, all_0_3_3) & frontsegP(nil, nil) & ssList(all_0_2_2) & ssList(all_0_3_3) & 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_3_3) | ~ (v4 = all_0_2_2)))))) & ! [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] : ( ~ equalelemsP(v0) | ~ segmentP(v0, all_0_3_3) | ~ frontsegP(all_0_2_2, v0) | ~ ssList(v0) | ~ neq(all_0_3_3, v0)) & ! [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))
% 20.67/7.99 |
% 20.67/7.99 | Applying alpha-rule on (1) yields:
% 20.67/7.99 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ lt(v1, v2) | ~ leq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v2))
% 20.67/7.99 | (3) equalelemsP(all_0_3_3)
% 20.67/7.99 | (4) ! [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))
% 20.67/7.99 | (5) ! [v0] : (v0 = nil | ~ rearsegP(nil, v0) | ~ ssList(v0))
% 20.67/7.99 | (6) ! [v0] : ( ~ singletonP(v0) | ~ ssList(v0) | ? [v1] : (cons(v1, nil) = v0 & ssItem(v1)))
% 20.67/7.99 | (7) ssList(all_0_2_2)
% 20.67/7.99 | (8) ! [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))
% 20.67/7.99 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ frontsegP(v1, v2) | ~ frontsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v0, v2))
% 20.67/7.99 | (10) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ~ ssList(v0))
% 20.67/7.99 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, v2) = v3) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 20.67/7.99 | (12) ! [v0] : ( ~ ssList(v0) | ~ neq(v0, v0))
% 20.67/7.99 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ~ ssList(v0) | ~ ssItem(v1) | cons(v1, v0) = v3)
% 20.67/7.99 | (14) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v1))
% 20.67/7.99 | (15) ! [v0] : ( ~ neq(v0, v0) | ~ ssItem(v0))
% 20.67/7.99 | (16) ! [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))
% 20.67/7.99 | (17) ! [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)))
% 20.67/7.99 | (18) ! [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))
% 20.67/7.99 | (19) totalorderP(nil)
% 20.67/7.99 | (20) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ~ ssList(v0) | ssItem(v1))
% 20.67/7.99 | (21) cyclefreeP(nil)
% 20.67/7.99 | (22) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | cyclefreeP(v1))
% 20.67/7.99 | (23) ! [v0] : ! [v1] : ( ~ gt(v1, v0) | ~ gt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 20.67/7.99 | (24) ! [v0] : ( ~ ssList(v0) | rearsegP(v0, nil))
% 20.67/7.99 | (25) ! [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))))))
% 20.67/7.99 | (26) ! [v0] : ! [v1] : (v1 = v0 | ~ rearsegP(v1, v0) | ~ rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 20.67/7.99 | (27) ! [v0] : ! [v1] : ( ~ leq(v1, v0) | ~ ssItem(v1) | ~ ssItem(v0) | geq(v0, v1))
% 20.67/7.99 | (28) ! [v0] : ( ~ ssItem(v0) | geq(v0, v0))
% 20.67/7.99 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ segmentP(v1, v2) | ~ segmentP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v0, v2))
% 20.67/8.00 | (30) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | strictorderP(v1))
% 20.67/8.00 | (31) ! [v0] : ! [v1] : (v0 = nil | ~ (app(v0, v1) = nil) | ~ ssList(v1) | ~ ssList(v0))
% 20.67/8.00 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v2, v1) = v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v0, v1))
% 20.67/8.00 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0))
% 20.67/8.00 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ ssItem(v2))
% 20.67/8.00 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | ? [v3] : (cons(v1, nil) = v3 & app(v3, v0) = v2))
% 20.67/8.00 | (36) ! [v0] : (v0 = nil | ~ segmentP(nil, v0) | ~ ssList(v0))
% 20.67/8.00 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v1, v2) = v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v0, v1))
% 20.67/8.00 | (38) ! [v0] : ! [v1] : ( ~ (cons(v1, nil) = v0) | ~ ssList(v0) | ~ ssItem(v1) | singletonP(v0))
% 20.67/8.00 | (39) ! [v0] : ! [v1] : (v1 = nil | ~ (app(v0, v1) = nil) | ~ ssList(v1) | ~ ssList(v0))
% 20.67/8.00 | (40) ! [v0] : ! [v1] : ( ~ lt(v1, v0) | ~ ssItem(v1) | ~ ssItem(v0) | gt(v0, v1))
% 20.67/8.00 | (41) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | totalorderedP(v1))
% 20.67/8.00 | (42) ! [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))
% 20.67/8.00 | (43) strictorderedP(nil)
% 20.67/8.00 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (app(v3, v4) = v0) | ~ (app(v2, v1) = v3) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v0, v1))
% 20.67/8.00 | (45) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | duplicatefreeP(v1))
% 20.67/8.00 | (46) ! [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))))
% 20.67/8.00 | (47) segmentP(nil, nil)
% 20.67/8.00 | (48) ! [v0] : ( ~ ssList(v0) | frontsegP(v0, v0))
% 20.67/8.00 | (49) ! [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))))))
% 20.67/8.00 | (50) ! [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))
% 20.67/8.00 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v1, v2) = v3) | ~ memberP(v3, v0) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | memberP(v2, v0))
% 20.67/8.00 | (52) ! [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))))))
% 20.67/8.00 | (53) ~ singletonP(nil)
% 20.67/8.00 | (54) ! [v0] : ! [v1] : ( ~ (cons(v1, v0) = v0) | ~ ssList(v0) | ~ ssItem(v1))
% 20.67/8.00 | (55) ! [v0] : ! [v1] : ( ~ gt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v1, v0))
% 20.67/8.00 | (56) ! [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))
% 20.67/8.00 | (57) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v1, v0) | ~ leq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 20.67/8.00 | (58) ssList(all_0_3_3)
% 20.67/8.01 | (59) ! [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)))
% 20.67/8.01 | (60) ssItem(all_0_1_1)
% 20.67/8.01 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ gt(v1, v2) | ~ gt(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | gt(v0, v2))
% 20.67/8.01 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v0, v1) = v2) | ~ ssList(v1) | ~ ssList(v0) | ssList(v2))
% 20.67/8.01 | (63) frontsegP(nil, nil)
% 20.67/8.01 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | tl(v2) = v0)
% 20.67/8.01 | (65) ! [v0] : (v0 = nil | ~ frontsegP(nil, v0) | ~ ssList(v0))
% 20.67/8.01 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 20.67/8.01 | (67) ! [v0] : ! [v1] : ( ~ rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v2, v1) = v0 & ssList(v2)))
% 20.67/8.01 | (68) ! [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)))
% 20.67/8.01 | (69) ! [v0] : ! [v1] : (v1 = v0 | ~ segmentP(v1, v0) | ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 20.67/8.01 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v1, v3) = v4) | ~ (app(v2, v4) = v0) | ~ ssList(v3) | ~ ssList(v2) | ~ ssList(v0) | ~ ssItem(v1) | memberP(v0, v1))
% 20.67/8.01 | (71) ! [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))
% 20.67/8.01 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v1, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 20.67/8.01 | (73) duplicatefreeP(nil)
% 20.67/8.01 | (74) ! [v0] : ( ~ ssList(v0) | segmentP(v0, v0))
% 20.67/8.01 | (75) ! [v0] : ! [v1] : ( ~ (cons(v1, v0) = nil) | ~ ssList(v0) | ~ ssItem(v1))
% 20.67/8.01 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v2))
% 20.67/8.01 | (77) totalorderedP(nil)
% 20.67/8.01 | (78) frontsegP(all_0_2_2, all_0_3_3)
% 20.67/8.01 | (79) ! [v0] : ! [v1] : ( ~ frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v1, v2) = v0 & ssList(v2)))
% 20.67/8.01 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 20.67/8.01 | (81) equalelemsP(nil)
% 20.67/8.01 | (82) ! [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))
% 20.67/8.01 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 20.67/8.01 | (84) ! [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)))
% 20.67/8.01 | (85) ! [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))))
% 20.67/8.01 | (86) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | ssList(v2))
% 20.67/8.01 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v3, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0) | memberP(v1, v0))
% 20.67/8.01 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 20.67/8.01 | (89) ! [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))
% 20.67/8.01 | (90) ! [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))
% 20.67/8.01 | (91) ! [v0] : ( ~ equalelemsP(v0) | ~ segmentP(v0, all_0_3_3) | ~ frontsegP(all_0_2_2, v0) | ~ ssList(v0) | ~ neq(all_0_3_3, v0))
% 20.67/8.01 | (92) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | totalorderP(v1))
% 20.67/8.01 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v0, v2) = v3) | ~ frontsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v3, v1))
% 20.67/8.02 | (94) ! [v0] : ! [v1] : ( ~ geq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v1, v0))
% 20.67/8.02 | (95) ! [v0] : ( ~ ssList(v0) | segmentP(v0, nil))
% 20.67/8.02 | (96) ! [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)))
% 20.67/8.02 | (97) ! [v0] : ( ~ memberP(nil, v0) | ~ ssItem(v0))
% 20.67/8.02 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0))
% 20.67/8.02 | (99) ! [v0] : ( ~ lt(v0, v0) | ~ ssItem(v0))
% 20.67/8.02 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0))
% 20.67/8.02 | (101) ! [v0] : ! [v1] : ! [v2] : ( ~ lt(v1, v2) | ~ lt(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v2))
% 20.67/8.02 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ~ ssList(v2) | ~ ssList(v0) | hd(v3) = v1)
% 20.67/8.02 | (103) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | hd(v2) = v1)
% 20.67/8.02 | (104) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | equalelemsP(v1))
% 20.67/8.02 | (105) ! [v0] : ! [v1] : ! [v2] : ( ~ geq(v1, v2) | ~ geq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | geq(v0, v2))
% 20.67/8.02 | (106) ! [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))))))
% 20.67/8.02 | (107) ! [v0] : ! [v1] : ! [v2] : ( ~ rearsegP(v1, v2) | ~ rearsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v0, v2))
% 20.67/8.02 | (108) ! [v0] : ! [v1] : (v1 = v0 | ~ frontsegP(v1, v0) | ~ frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 20.67/8.02 | (109) ! [v0] : ! [v1] : (v1 = v0 | ~ ssList(v1) | ~ ssList(v0) | neq(v0, v1))
% 20.67/8.02 | (110) ~ (all_0_0_0 = all_0_1_1)
% 20.67/8.02 | (111) ! [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)
% 20.67/8.02 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 20.67/8.02 | (113) ! [v0] : ! [v1] : ( ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : ? [v3] : ? [v4] : (app(v3, v4) = v0 & app(v2, v1) = v3 & ssList(v4) & ssList(v2)))
% 20.67/8.02 | (114) ! [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))
% 20.67/8.02 | (115) ssItem(all_0_0_0)
% 20.67/8.02 | (116) ! [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))
% 20.67/8.02 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ ssItem(v2))
% 20.67/8.02 | (118) ! [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))
% 20.67/8.02 | (119) ! [v0] : ( ~ ssItem(v0) | leq(v0, v0))
% 20.67/8.02 | (120) ! [v0] : ! [v1] : ( ~ memberP(v0, v1) | ~ ssList(v0) | ~ ssItem(v1) | ? [v2] : ? [v3] : ? [v4] : (cons(v1, v3) = v4 & app(v2, v4) = v0 & ssList(v3) & ssList(v2)))
% 20.67/8.02 | (121) ! [v0] : ( ~ ssList(v0) | rearsegP(v0, v0))
% 20.67/8.02 | (122) ! [v0] : ! [v1] : ( ~ lt(v1, v0) | ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 20.67/8.02 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ~ ssList(v0))
% 20.67/8.02 | (124) rearsegP(nil, nil)
% 20.67/8.02 | (125) ! [v0] : ( ~ ssList(v0) | frontsegP(v0, nil))
% 20.67/8.02 | (126) ! [v0] : ! [v1] : (v1 = v0 | ~ ssItem(v1) | ~ ssItem(v0) | neq(v0, v1))
% 20.67/8.02 | (127) strictorderP(nil)
% 20.67/8.02 | (128) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ~ ssList(v0) | ssList(v1))
% 20.67/8.02 | (129) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ~ ssList(v0))
% 20.67/8.02 | (130) ! [v0] : (v0 = nil | ~ ssList(v0) | ? [v1] : ? [v2] : (cons(v2, v1) = v0 & ssList(v1) & ssItem(v2)))
% 20.67/8.02 | (131) ! [v0] : ! [v1] : (v1 = v0 | ~ geq(v1, v0) | ~ geq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 20.67/8.02 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v2, v0) = v3) | ~ rearsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v3, v1))
% 20.67/8.02 | (133) ! [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))
% 20.67/8.02 | (134) ! [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)))
% 20.67/8.03 | (135) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 20.67/8.03 | (136) ! [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)))
% 20.67/8.03 | (137) ! [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)
% 20.67/8.03 | (138) ! [v0] : ! [v1] : ( ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v1))
% 20.67/8.03 | (139) ! [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_3_3) | ~ (v4 = all_0_2_2))))))
% 20.67/8.03 | (140) ssList(nil)
% 20.67/8.03 | (141) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | strictorderedP(v1))
% 20.67/8.03 |
% 21.11/8.03 | Instantiating formula (139) with all_0_2_2, all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 21.11/8.03 | (142) ? [v0] : (app(all_0_2_2, all_0_2_2) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_2_2, v1) = v3 & ( ~ (v3 = all_0_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (125) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 21.11/8.03 | (143) frontsegP(all_0_2_2, nil)
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (79) with all_0_3_3, all_0_2_2 and discharging atoms frontsegP(all_0_2_2, all_0_3_3), ssList(all_0_2_2), ssList(all_0_3_3), yields:
% 21.11/8.03 | (144) ? [v0] : (app(all_0_3_3, v0) = all_0_2_2 & ssList(v0))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (139) with all_0_3_3, all_0_2_2 and discharging atoms ssList(all_0_2_2), ssList(all_0_3_3), yields:
% 21.11/8.03 | (145) ? [v0] : (app(all_0_2_2, all_0_3_3) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_2_2, v1) = v3 & ( ~ (v3 = all_0_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (139) with all_0_2_2, all_0_3_3 and discharging atoms ssList(all_0_2_2), ssList(all_0_3_3), yields:
% 21.11/8.03 | (146) ? [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_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (139) with all_0_3_3, all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 21.11/8.03 | (147) ? [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_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (130) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 21.11/8.03 | (148) all_0_3_3 = nil | ? [v0] : ? [v1] : (cons(v1, v0) = all_0_3_3 & ssList(v0) & ssItem(v1))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (113) with nil, nil and discharging atoms segmentP(nil, nil), ssList(nil), yields:
% 21.11/8.03 | (149) ? [v0] : ? [v1] : ? [v2] : (app(v1, v2) = nil & app(v0, nil) = v1 & ssList(v2) & ssList(v0))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (139) with nil, all_0_2_2 and discharging atoms ssList(all_0_2_2), ssList(nil), yields:
% 21.11/8.03 | (150) ? [v0] : (app(all_0_2_2, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_2_2, v1) = v3 & ( ~ (v3 = all_0_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (139) with all_0_2_2, nil and discharging atoms ssList(all_0_2_2), ssList(nil), yields:
% 21.11/8.03 | (151) ? [v0] : (app(nil, all_0_2_2) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(nil, v1) = v3 & ( ~ (v3 = all_0_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (139) with nil, all_0_3_3 and discharging atoms ssList(all_0_3_3), ssList(nil), yields:
% 21.11/8.03 | (152) ? [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_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (139) with all_0_3_3, nil and discharging atoms ssList(all_0_3_3), ssList(nil), yields:
% 21.11/8.03 | (153) ? [v0] : (app(nil, all_0_3_3) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(nil, v1) = v3 & ( ~ (v3 = all_0_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (139) with nil, nil and discharging atoms ssList(nil), yields:
% 21.11/8.03 | (154) ? [v0] : (app(nil, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(nil, v1) = v3 & ( ~ (v3 = all_0_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating (142) with all_9_0_4 yields:
% 21.11/8.03 | (155) app(all_0_2_2, all_0_2_2) = all_9_0_4 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_9_0_4, v0) = v1 & app(all_0_2_2, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.03 |
% 21.11/8.03 | Applying alpha-rule on (155) yields:
% 21.11/8.03 | (156) app(all_0_2_2, all_0_2_2) = all_9_0_4
% 21.11/8.03 | (157) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_9_0_4, v0) = v1 & app(all_0_2_2, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (157) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.03 | (158) ? [v0] : ? [v1] : (app(all_9_0_4, nil) = v0 & app(all_0_2_2, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating (144) with all_12_0_5 yields:
% 21.11/8.03 | (159) app(all_0_3_3, all_12_0_5) = all_0_2_2 & ssList(all_12_0_5)
% 21.11/8.03 |
% 21.11/8.03 | Applying alpha-rule on (159) yields:
% 21.11/8.03 | (160) app(all_0_3_3, all_12_0_5) = all_0_2_2
% 21.11/8.03 | (161) ssList(all_12_0_5)
% 21.11/8.03 |
% 21.11/8.03 | Instantiating (154) with all_14_0_6 yields:
% 21.11/8.03 | (162) app(nil, nil) = all_14_0_6 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_14_0_6, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.03 |
% 21.11/8.03 | Applying alpha-rule on (162) yields:
% 21.11/8.03 | (163) app(nil, nil) = all_14_0_6
% 21.11/8.03 | (164) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_14_0_6, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (164) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 21.11/8.03 | (165) ? [v0] : ? [v1] : (app(all_14_0_6, all_0_2_2) = v0 & app(nil, all_0_2_2) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.03 |
% 21.11/8.03 | Instantiating formula (164) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 21.11/8.03 | (166) ? [v0] : ? [v1] : (app(all_14_0_6, all_0_3_3) = v0 & app(nil, all_0_3_3) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (153) with all_17_0_7 yields:
% 21.11/8.04 | (167) app(nil, all_0_3_3) = all_17_0_7 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_17_0_7, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (167) yields:
% 21.11/8.04 | (168) app(nil, all_0_3_3) = all_17_0_7
% 21.11/8.04 | (169) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_17_0_7, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (169) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 21.11/8.04 | (170) ? [v0] : ? [v1] : (app(all_17_0_7, all_0_2_2) = v0 & app(nil, all_0_2_2) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (169) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 21.11/8.04 | (171) ? [v0] : ? [v1] : (app(all_17_0_7, all_0_3_3) = v0 & app(nil, all_0_3_3) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (152) with all_20_0_8 yields:
% 21.11/8.04 | (172) app(all_0_3_3, nil) = all_20_0_8 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_20_0_8, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (172) yields:
% 21.11/8.04 | (173) app(all_0_3_3, nil) = all_20_0_8
% 21.11/8.04 | (174) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_20_0_8, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (174) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 21.11/8.04 | (175) ? [v0] : ? [v1] : (app(all_20_0_8, all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (174) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.04 | (176) ? [v0] : ? [v1] : (app(all_20_0_8, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (151) with all_23_0_9 yields:
% 21.11/8.04 | (177) app(nil, all_0_2_2) = all_23_0_9 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_23_0_9, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (177) yields:
% 21.11/8.04 | (178) app(nil, all_0_2_2) = all_23_0_9
% 21.11/8.04 | (179) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_23_0_9, v0) = v1 & app(nil, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (179) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 21.11/8.04 | (180) ? [v0] : ? [v1] : (app(all_23_0_9, all_0_2_2) = v0 & app(nil, all_0_2_2) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (179) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 21.11/8.04 | (181) ? [v0] : ? [v1] : (app(all_23_0_9, all_0_3_3) = v0 & app(nil, all_0_3_3) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (179) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.04 | (182) ? [v0] : ? [v1] : (app(all_23_0_9, nil) = v0 & app(nil, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (147) with all_26_0_10 yields:
% 21.11/8.04 | (183) app(all_0_3_3, all_0_3_3) = all_26_0_10 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_26_0_10, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (183) yields:
% 21.11/8.04 | (184) app(all_0_3_3, all_0_3_3) = all_26_0_10
% 21.11/8.04 | (185) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_26_0_10, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (185) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 21.11/8.04 | (186) ? [v0] : ? [v1] : (app(all_26_0_10, all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (185) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.04 | (187) ? [v0] : ? [v1] : (app(all_26_0_10, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (149) with all_31_0_12, all_31_1_13, all_31_2_14 yields:
% 21.11/8.04 | (188) app(all_31_1_13, all_31_0_12) = nil & app(all_31_2_14, nil) = all_31_1_13 & ssList(all_31_0_12) & ssList(all_31_2_14)
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (188) yields:
% 21.11/8.04 | (189) app(all_31_1_13, all_31_0_12) = nil
% 21.11/8.04 | (190) app(all_31_2_14, nil) = all_31_1_13
% 21.11/8.04 | (191) ssList(all_31_0_12)
% 21.11/8.04 | (192) ssList(all_31_2_14)
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (150) with all_33_0_15 yields:
% 21.11/8.04 | (193) app(all_0_2_2, nil) = all_33_0_15 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_33_0_15, v0) = v1 & app(all_0_2_2, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (193) yields:
% 21.11/8.04 | (194) app(all_0_2_2, nil) = all_33_0_15
% 21.11/8.04 | (195) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_33_0_15, v0) = v1 & app(all_0_2_2, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (195) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.04 | (196) ? [v0] : ? [v1] : (app(all_33_0_15, nil) = v0 & app(all_0_2_2, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (146) with all_38_0_17 yields:
% 21.11/8.04 | (197) app(all_0_3_3, all_0_2_2) = all_38_0_17 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_38_0_17, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (197) yields:
% 21.11/8.04 | (198) app(all_0_3_3, all_0_2_2) = all_38_0_17
% 21.11/8.04 | (199) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_38_0_17, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (199) with all_0_3_3 and discharging atoms ssList(all_0_3_3), yields:
% 21.11/8.04 | (200) ? [v0] : ? [v1] : (app(all_38_0_17, all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (199) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.04 | (201) ? [v0] : ? [v1] : (app(all_38_0_17, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (145) with all_41_0_18 yields:
% 21.11/8.04 | (202) app(all_0_2_2, all_0_3_3) = all_41_0_18 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_41_0_18, v0) = v1 & app(all_0_2_2, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (202) yields:
% 21.11/8.04 | (203) app(all_0_2_2, all_0_3_3) = all_41_0_18
% 21.11/8.04 | (204) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_41_0_18, v0) = v1 & app(all_0_2_2, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating formula (204) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.04 | (205) ? [v0] : ? [v1] : (app(all_41_0_18, nil) = v0 & app(all_0_2_2, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (158) with all_44_0_19, all_44_1_20 yields:
% 21.11/8.04 | (206) app(all_9_0_4, nil) = all_44_1_20 & app(all_0_2_2, nil) = all_44_0_19 & ( ~ (all_44_0_19 = all_0_3_3) | ~ (all_44_1_20 = all_0_2_2))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (206) yields:
% 21.11/8.04 | (207) app(all_9_0_4, nil) = all_44_1_20
% 21.11/8.04 | (208) app(all_0_2_2, nil) = all_44_0_19
% 21.11/8.04 | (209) ~ (all_44_0_19 = all_0_3_3) | ~ (all_44_1_20 = all_0_2_2)
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (166) with all_52_0_27, all_52_1_28 yields:
% 21.11/8.04 | (210) app(all_14_0_6, all_0_3_3) = all_52_1_28 & app(nil, all_0_3_3) = all_52_0_27 & ( ~ (all_52_0_27 = all_0_3_3) | ~ (all_52_1_28 = all_0_2_2))
% 21.11/8.04 |
% 21.11/8.04 | Applying alpha-rule on (210) yields:
% 21.11/8.04 | (211) app(all_14_0_6, all_0_3_3) = all_52_1_28
% 21.11/8.04 | (212) app(nil, all_0_3_3) = all_52_0_27
% 21.11/8.04 | (213) ~ (all_52_0_27 = all_0_3_3) | ~ (all_52_1_28 = all_0_2_2)
% 21.11/8.04 |
% 21.11/8.04 | Instantiating (165) with all_54_0_29, all_54_1_30 yields:
% 21.11/8.04 | (214) app(all_14_0_6, all_0_2_2) = all_54_1_30 & app(nil, all_0_2_2) = all_54_0_29 & ( ~ (all_54_0_29 = all_0_3_3) | ~ (all_54_1_30 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (214) yields:
% 21.11/8.05 | (215) app(all_14_0_6, all_0_2_2) = all_54_1_30
% 21.11/8.05 | (216) app(nil, all_0_2_2) = all_54_0_29
% 21.11/8.05 | (217) ~ (all_54_0_29 = all_0_3_3) | ~ (all_54_1_30 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (171) with all_58_0_33, all_58_1_34 yields:
% 21.11/8.05 | (218) app(all_17_0_7, all_0_3_3) = all_58_1_34 & app(nil, all_0_3_3) = all_58_0_33 & ( ~ (all_58_0_33 = all_0_3_3) | ~ (all_58_1_34 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (218) yields:
% 21.11/8.05 | (219) app(all_17_0_7, all_0_3_3) = all_58_1_34
% 21.11/8.05 | (220) app(nil, all_0_3_3) = all_58_0_33
% 21.11/8.05 | (221) ~ (all_58_0_33 = all_0_3_3) | ~ (all_58_1_34 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (170) with all_60_0_35, all_60_1_36 yields:
% 21.11/8.05 | (222) app(all_17_0_7, all_0_2_2) = all_60_1_36 & app(nil, all_0_2_2) = all_60_0_35 & ( ~ (all_60_0_35 = all_0_3_3) | ~ (all_60_1_36 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (222) yields:
% 21.11/8.05 | (223) app(all_17_0_7, all_0_2_2) = all_60_1_36
% 21.11/8.05 | (224) app(nil, all_0_2_2) = all_60_0_35
% 21.11/8.05 | (225) ~ (all_60_0_35 = all_0_3_3) | ~ (all_60_1_36 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (176) with all_62_0_37, all_62_1_38 yields:
% 21.11/8.05 | (226) app(all_20_0_8, nil) = all_62_1_38 & app(all_0_3_3, nil) = all_62_0_37 & ( ~ (all_62_0_37 = all_0_3_3) | ~ (all_62_1_38 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (226) yields:
% 21.11/8.05 | (227) app(all_20_0_8, nil) = all_62_1_38
% 21.11/8.05 | (228) app(all_0_3_3, nil) = all_62_0_37
% 21.11/8.05 | (229) ~ (all_62_0_37 = all_0_3_3) | ~ (all_62_1_38 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (175) with all_64_0_39, all_64_1_40 yields:
% 21.11/8.05 | (230) app(all_20_0_8, all_0_3_3) = all_64_1_40 & app(all_0_3_3, all_0_3_3) = all_64_0_39 & ( ~ (all_64_0_39 = all_0_3_3) | ~ (all_64_1_40 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (230) yields:
% 21.11/8.05 | (231) app(all_20_0_8, all_0_3_3) = all_64_1_40
% 21.11/8.05 | (232) app(all_0_3_3, all_0_3_3) = all_64_0_39
% 21.11/8.05 | (233) ~ (all_64_0_39 = all_0_3_3) | ~ (all_64_1_40 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (182) with all_68_0_43, all_68_1_44 yields:
% 21.11/8.05 | (234) app(all_23_0_9, nil) = all_68_1_44 & app(nil, nil) = all_68_0_43 & ( ~ (all_68_0_43 = all_0_3_3) | ~ (all_68_1_44 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (234) yields:
% 21.11/8.05 | (235) app(all_23_0_9, nil) = all_68_1_44
% 21.11/8.05 | (236) app(nil, nil) = all_68_0_43
% 21.11/8.05 | (237) ~ (all_68_0_43 = all_0_3_3) | ~ (all_68_1_44 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (181) with all_70_0_45, all_70_1_46 yields:
% 21.11/8.05 | (238) app(all_23_0_9, all_0_3_3) = all_70_1_46 & app(nil, all_0_3_3) = all_70_0_45 & ( ~ (all_70_0_45 = all_0_3_3) | ~ (all_70_1_46 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (238) yields:
% 21.11/8.05 | (239) app(all_23_0_9, all_0_3_3) = all_70_1_46
% 21.11/8.05 | (240) app(nil, all_0_3_3) = all_70_0_45
% 21.11/8.05 | (241) ~ (all_70_0_45 = all_0_3_3) | ~ (all_70_1_46 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (180) with all_72_0_47, all_72_1_48 yields:
% 21.11/8.05 | (242) app(all_23_0_9, all_0_2_2) = all_72_1_48 & app(nil, all_0_2_2) = all_72_0_47 & ( ~ (all_72_0_47 = all_0_3_3) | ~ (all_72_1_48 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (242) yields:
% 21.11/8.05 | (243) app(all_23_0_9, all_0_2_2) = all_72_1_48
% 21.11/8.05 | (244) app(nil, all_0_2_2) = all_72_0_47
% 21.11/8.05 | (245) ~ (all_72_0_47 = all_0_3_3) | ~ (all_72_1_48 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (187) with all_74_0_49, all_74_1_50 yields:
% 21.11/8.05 | (246) app(all_26_0_10, nil) = all_74_1_50 & app(all_0_3_3, nil) = all_74_0_49 & ( ~ (all_74_0_49 = all_0_3_3) | ~ (all_74_1_50 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (246) yields:
% 21.11/8.05 | (247) app(all_26_0_10, nil) = all_74_1_50
% 21.11/8.05 | (248) app(all_0_3_3, nil) = all_74_0_49
% 21.11/8.05 | (249) ~ (all_74_0_49 = all_0_3_3) | ~ (all_74_1_50 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (186) with all_76_0_51, all_76_1_52 yields:
% 21.11/8.05 | (250) app(all_26_0_10, all_0_3_3) = all_76_1_52 & app(all_0_3_3, all_0_3_3) = all_76_0_51 & ( ~ (all_76_0_51 = all_0_3_3) | ~ (all_76_1_52 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (250) yields:
% 21.11/8.05 | (251) app(all_26_0_10, all_0_3_3) = all_76_1_52
% 21.11/8.05 | (252) app(all_0_3_3, all_0_3_3) = all_76_0_51
% 21.11/8.05 | (253) ~ (all_76_0_51 = all_0_3_3) | ~ (all_76_1_52 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (196) with all_80_0_55, all_80_1_56 yields:
% 21.11/8.05 | (254) app(all_33_0_15, nil) = all_80_1_56 & app(all_0_2_2, nil) = all_80_0_55 & ( ~ (all_80_0_55 = all_0_3_3) | ~ (all_80_1_56 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (254) yields:
% 21.11/8.05 | (255) app(all_33_0_15, nil) = all_80_1_56
% 21.11/8.05 | (256) app(all_0_2_2, nil) = all_80_0_55
% 21.11/8.05 | (257) ~ (all_80_0_55 = all_0_3_3) | ~ (all_80_1_56 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (201) with all_86_0_61, all_86_1_62 yields:
% 21.11/8.05 | (258) app(all_38_0_17, nil) = all_86_1_62 & app(all_0_3_3, nil) = all_86_0_61 & ( ~ (all_86_0_61 = all_0_3_3) | ~ (all_86_1_62 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (258) yields:
% 21.11/8.05 | (259) app(all_38_0_17, nil) = all_86_1_62
% 21.11/8.05 | (260) app(all_0_3_3, nil) = all_86_0_61
% 21.11/8.05 | (261) ~ (all_86_0_61 = all_0_3_3) | ~ (all_86_1_62 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (200) with all_88_0_63, all_88_1_64 yields:
% 21.11/8.05 | (262) app(all_38_0_17, all_0_3_3) = all_88_1_64 & app(all_0_3_3, all_0_3_3) = all_88_0_63 & ( ~ (all_88_0_63 = all_0_3_3) | ~ (all_88_1_64 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (262) yields:
% 21.11/8.05 | (263) app(all_38_0_17, all_0_3_3) = all_88_1_64
% 21.11/8.05 | (264) app(all_0_3_3, all_0_3_3) = all_88_0_63
% 21.11/8.05 | (265) ~ (all_88_0_63 = all_0_3_3) | ~ (all_88_1_64 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating (205) with all_92_0_67, all_92_1_68 yields:
% 21.11/8.05 | (266) app(all_41_0_18, nil) = all_92_1_68 & app(all_0_2_2, nil) = all_92_0_67 & ( ~ (all_92_0_67 = all_0_3_3) | ~ (all_92_1_68 = all_0_2_2))
% 21.11/8.05 |
% 21.11/8.05 | Applying alpha-rule on (266) yields:
% 21.11/8.05 | (267) app(all_41_0_18, nil) = all_92_1_68
% 21.11/8.05 | (268) app(all_0_2_2, nil) = all_92_0_67
% 21.11/8.05 | (269) ~ (all_92_0_67 = all_0_3_3) | ~ (all_92_1_68 = all_0_2_2)
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (10) with all_92_0_67, all_0_2_2 and discharging atoms app(all_0_2_2, nil) = all_92_0_67, ssList(all_0_2_2), yields:
% 21.11/8.05 | (270) all_92_0_67 = all_0_2_2
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_2_2, nil, all_80_0_55, all_92_0_67 and discharging atoms app(all_0_2_2, nil) = all_92_0_67, app(all_0_2_2, nil) = all_80_0_55, yields:
% 21.11/8.05 | (271) all_92_0_67 = all_80_0_55
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_2_2, nil, all_44_0_19, all_92_0_67 and discharging atoms app(all_0_2_2, nil) = all_92_0_67, app(all_0_2_2, nil) = all_44_0_19, yields:
% 21.11/8.05 | (272) all_92_0_67 = all_44_0_19
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_2_2, nil, all_33_0_15, all_44_0_19 and discharging atoms app(all_0_2_2, nil) = all_44_0_19, app(all_0_2_2, nil) = all_33_0_15, yields:
% 21.11/8.05 | (273) all_44_0_19 = all_33_0_15
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_3_3, all_0_3_3, all_76_0_51, all_88_0_63 and discharging atoms app(all_0_3_3, all_0_3_3) = all_88_0_63, app(all_0_3_3, all_0_3_3) = all_76_0_51, yields:
% 21.11/8.05 | (274) all_88_0_63 = all_76_0_51
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_3_3, all_0_3_3, all_64_0_39, all_88_0_63 and discharging atoms app(all_0_3_3, all_0_3_3) = all_88_0_63, app(all_0_3_3, all_0_3_3) = all_64_0_39, yields:
% 21.11/8.05 | (275) all_88_0_63 = all_64_0_39
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_3_3, all_0_3_3, all_26_0_10, all_76_0_51 and discharging atoms app(all_0_3_3, all_0_3_3) = all_76_0_51, app(all_0_3_3, all_0_3_3) = all_26_0_10, yields:
% 21.11/8.05 | (276) all_76_0_51 = all_26_0_10
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_3_3, nil, all_74_0_49, all_86_0_61 and discharging atoms app(all_0_3_3, nil) = all_86_0_61, app(all_0_3_3, nil) = all_74_0_49, yields:
% 21.11/8.05 | (277) all_86_0_61 = all_74_0_49
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_3_3, nil, all_62_0_37, all_74_0_49 and discharging atoms app(all_0_3_3, nil) = all_74_0_49, app(all_0_3_3, nil) = all_62_0_37, yields:
% 21.11/8.05 | (278) all_74_0_49 = all_62_0_37
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (10) with all_62_0_37, all_0_3_3 and discharging atoms app(all_0_3_3, nil) = all_62_0_37, ssList(all_0_3_3), yields:
% 21.11/8.05 | (279) all_62_0_37 = all_0_3_3
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with all_0_3_3, nil, all_20_0_8, all_86_0_61 and discharging atoms app(all_0_3_3, nil) = all_86_0_61, app(all_0_3_3, nil) = all_20_0_8, yields:
% 21.11/8.05 | (280) all_86_0_61 = all_20_0_8
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (129) with all_72_0_47, all_0_2_2 and discharging atoms app(nil, all_0_2_2) = all_72_0_47, ssList(all_0_2_2), yields:
% 21.11/8.05 | (281) all_72_0_47 = all_0_2_2
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with nil, all_0_2_2, all_60_0_35, all_72_0_47 and discharging atoms app(nil, all_0_2_2) = all_72_0_47, app(nil, all_0_2_2) = all_60_0_35, yields:
% 21.11/8.05 | (282) all_72_0_47 = all_60_0_35
% 21.11/8.05 |
% 21.11/8.05 | Instantiating formula (112) with nil, all_0_2_2, all_54_0_29, all_72_0_47 and discharging atoms app(nil, all_0_2_2) = all_72_0_47, app(nil, all_0_2_2) = all_54_0_29, yields:
% 21.11/8.05 | (283) all_72_0_47 = all_54_0_29
% 21.11/8.05 |
% 21.11/8.06 | Instantiating formula (112) with nil, all_0_2_2, all_23_0_9, all_54_0_29 and discharging atoms app(nil, all_0_2_2) = all_54_0_29, app(nil, all_0_2_2) = all_23_0_9, yields:
% 21.11/8.06 | (284) all_54_0_29 = all_23_0_9
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (129) with all_70_0_45, all_0_3_3 and discharging atoms app(nil, all_0_3_3) = all_70_0_45, ssList(all_0_3_3), yields:
% 21.11/8.06 | (285) all_70_0_45 = all_0_3_3
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (112) with nil, all_0_3_3, all_58_0_33, all_70_0_45 and discharging atoms app(nil, all_0_3_3) = all_70_0_45, app(nil, all_0_3_3) = all_58_0_33, yields:
% 21.11/8.06 | (286) all_70_0_45 = all_58_0_33
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (112) with nil, all_0_3_3, all_52_0_27, all_70_0_45 and discharging atoms app(nil, all_0_3_3) = all_70_0_45, app(nil, all_0_3_3) = all_52_0_27, yields:
% 21.11/8.06 | (287) all_70_0_45 = all_52_0_27
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (112) with nil, all_0_3_3, all_17_0_7, all_58_0_33 and discharging atoms app(nil, all_0_3_3) = all_58_0_33, app(nil, all_0_3_3) = all_17_0_7, yields:
% 21.11/8.06 | (288) all_58_0_33 = all_17_0_7
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (135) with all_68_0_43 and discharging atoms app(nil, nil) = all_68_0_43, yields:
% 21.11/8.06 | (289) all_68_0_43 = nil
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (10) with all_31_1_13, all_31_2_14 and discharging atoms app(all_31_2_14, nil) = all_31_1_13, ssList(all_31_2_14), yields:
% 21.11/8.06 | (290) all_31_1_13 = all_31_2_14
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (270,271) yields a new equation:
% 21.11/8.06 | (291) all_80_0_55 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (272,271) yields a new equation:
% 21.11/8.06 | (292) all_80_0_55 = all_44_0_19
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (274,275) yields a new equation:
% 21.11/8.06 | (293) all_76_0_51 = all_64_0_39
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 293 yields:
% 21.11/8.06 | (294) all_76_0_51 = all_64_0_39
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (277,280) yields a new equation:
% 21.11/8.06 | (295) all_74_0_49 = all_20_0_8
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 295 yields:
% 21.11/8.06 | (296) all_74_0_49 = all_20_0_8
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (292,291) yields a new equation:
% 21.11/8.06 | (297) all_44_0_19 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 297 yields:
% 21.11/8.06 | (298) all_44_0_19 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (276,294) yields a new equation:
% 21.11/8.06 | (299) all_64_0_39 = all_26_0_10
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (278,296) yields a new equation:
% 21.11/8.06 | (300) all_62_0_37 = all_20_0_8
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 300 yields:
% 21.11/8.06 | (301) all_62_0_37 = all_20_0_8
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (281,282) yields a new equation:
% 21.11/8.06 | (302) all_60_0_35 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (283,282) yields a new equation:
% 21.11/8.06 | (303) all_60_0_35 = all_54_0_29
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (286,287) yields a new equation:
% 21.11/8.06 | (304) all_58_0_33 = all_52_0_27
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 304 yields:
% 21.11/8.06 | (305) all_58_0_33 = all_52_0_27
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (285,287) yields a new equation:
% 21.11/8.06 | (306) all_52_0_27 = all_0_3_3
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (279,301) yields a new equation:
% 21.11/8.06 | (307) all_20_0_8 = all_0_3_3
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (303,302) yields a new equation:
% 21.11/8.06 | (308) all_54_0_29 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 308 yields:
% 21.11/8.06 | (309) all_54_0_29 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (305,288) yields a new equation:
% 21.11/8.06 | (310) all_52_0_27 = all_17_0_7
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 310 yields:
% 21.11/8.06 | (311) all_52_0_27 = all_17_0_7
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (284,309) yields a new equation:
% 21.11/8.06 | (312) all_23_0_9 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 312 yields:
% 21.11/8.06 | (313) all_23_0_9 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (306,311) yields a new equation:
% 21.11/8.06 | (314) all_17_0_7 = all_0_3_3
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (273,298) yields a new equation:
% 21.11/8.06 | (315) all_33_0_15 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 315 yields:
% 21.11/8.06 | (316) all_33_0_15 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | From (316) and (255) follows:
% 21.11/8.06 | (317) app(all_0_2_2, nil) = all_80_1_56
% 21.11/8.06 |
% 21.11/8.06 | From (290) and (189) follows:
% 21.11/8.06 | (318) app(all_31_2_14, all_31_0_12) = nil
% 21.11/8.06 |
% 21.11/8.06 | From (313) and (235) follows:
% 21.11/8.06 | (319) app(all_0_2_2, nil) = all_68_1_44
% 21.11/8.06 |
% 21.11/8.06 | From (307) and (231) follows:
% 21.11/8.06 | (320) app(all_0_3_3, all_0_3_3) = all_64_1_40
% 21.11/8.06 |
% 21.11/8.06 | From (314) and (219) follows:
% 21.11/8.06 | (321) app(all_0_3_3, all_0_3_3) = all_58_1_34
% 21.11/8.06 |
% 21.11/8.06 | From (316) and (194) follows:
% 21.11/8.06 | (322) app(all_0_2_2, nil) = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | From (299) and (232) follows:
% 21.11/8.06 | (184) app(all_0_3_3, all_0_3_3) = all_26_0_10
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (31) with all_31_0_12, all_31_2_14 and discharging atoms app(all_31_2_14, all_31_0_12) = nil, ssList(all_31_0_12), ssList(all_31_2_14), yields:
% 21.11/8.06 | (324) all_31_2_14 = nil
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (112) with all_0_2_2, nil, all_68_1_44, all_80_1_56 and discharging atoms app(all_0_2_2, nil) = all_80_1_56, app(all_0_2_2, nil) = all_68_1_44, yields:
% 21.11/8.06 | (325) all_80_1_56 = all_68_1_44
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (112) with all_0_2_2, nil, all_0_2_2, all_80_1_56 and discharging atoms app(all_0_2_2, nil) = all_80_1_56, app(all_0_2_2, nil) = all_0_2_2, yields:
% 21.11/8.06 | (326) all_80_1_56 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (112) with all_0_3_3, all_0_3_3, all_64_1_40, all_26_0_10 and discharging atoms app(all_0_3_3, all_0_3_3) = all_64_1_40, app(all_0_3_3, all_0_3_3) = all_26_0_10, yields:
% 21.11/8.06 | (327) all_64_1_40 = all_26_0_10
% 21.11/8.06 |
% 21.11/8.06 | Instantiating formula (112) with all_0_3_3, all_0_3_3, all_58_1_34, all_64_1_40 and discharging atoms app(all_0_3_3, all_0_3_3) = all_64_1_40, app(all_0_3_3, all_0_3_3) = all_58_1_34, yields:
% 21.11/8.06 | (328) all_64_1_40 = all_58_1_34
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (325,326) yields a new equation:
% 21.11/8.06 | (329) all_68_1_44 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 329 yields:
% 21.11/8.06 | (330) all_68_1_44 = all_0_2_2
% 21.11/8.06 |
% 21.11/8.06 | Combining equations (328,327) yields a new equation:
% 21.11/8.06 | (331) all_58_1_34 = all_26_0_10
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 331 yields:
% 21.11/8.06 | (332) all_58_1_34 = all_26_0_10
% 21.11/8.06 |
% 21.11/8.06 | From (332) and (321) follows:
% 21.11/8.06 | (184) app(all_0_3_3, all_0_3_3) = all_26_0_10
% 21.11/8.06 |
% 21.11/8.06 | From (324) and (192) follows:
% 21.11/8.06 | (140) ssList(nil)
% 21.11/8.06 |
% 21.11/8.06 +-Applying beta-rule and splitting (237), into two cases.
% 21.11/8.06 |-Branch one:
% 21.11/8.06 | (335) ~ (all_68_0_43 = all_0_3_3)
% 21.11/8.06 |
% 21.11/8.06 | Equations (289) can reduce 335 to:
% 21.11/8.06 | (336) ~ (all_0_3_3 = nil)
% 21.11/8.06 |
% 21.11/8.06 | Simplifying 336 yields:
% 21.11/8.06 | (337) ~ (all_0_3_3 = nil)
% 21.11/8.06 |
% 21.11/8.06 +-Applying beta-rule and splitting (148), into two cases.
% 21.11/8.06 |-Branch one:
% 21.11/8.06 | (338) all_0_3_3 = nil
% 21.11/8.06 |
% 21.11/8.06 | Equations (338) can reduce 337 to:
% 21.11/8.06 | (339) $false
% 21.11/8.06 |
% 21.11/8.06 |-The branch is then unsatisfiable
% 21.11/8.06 |-Branch two:
% 21.11/8.06 | (337) ~ (all_0_3_3 = nil)
% 21.11/8.06 | (341) ? [v0] : ? [v1] : (cons(v1, v0) = all_0_3_3 & ssList(v0) & ssItem(v1))
% 21.11/8.06 |
% 21.11/8.06 | Instantiating (341) with all_162_0_73, all_162_1_74 yields:
% 21.11/8.07 | (342) cons(all_162_0_73, all_162_1_74) = all_0_3_3 & ssList(all_162_1_74) & ssItem(all_162_0_73)
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (342) yields:
% 21.11/8.07 | (343) cons(all_162_0_73, all_162_1_74) = all_0_3_3
% 21.11/8.07 | (344) ssList(all_162_1_74)
% 21.11/8.07 | (345) ssItem(all_162_0_73)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (42) with all_74_1_50, nil, all_26_0_10, all_0_3_3, all_0_3_3 and discharging atoms app(all_26_0_10, nil) = all_74_1_50, app(all_0_3_3, all_0_3_3) = all_26_0_10, ssList(all_0_3_3), ssList(nil), yields:
% 21.11/8.07 | (346) ? [v0] : (app(all_0_3_3, v0) = all_74_1_50 & app(all_0_3_3, nil) = v0)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (79) with nil, all_0_2_2 and discharging atoms frontsegP(all_0_2_2, nil), ssList(all_0_2_2), ssList(nil), yields:
% 21.11/8.07 | (347) ? [v0] : (app(nil, v0) = all_0_2_2 & ssList(v0))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (139) with all_162_1_74, all_0_3_3 and discharging atoms ssList(all_162_1_74), ssList(all_0_3_3), yields:
% 21.11/8.07 | (348) ? [v0] : (app(all_0_3_3, all_162_1_74) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_3_3, v1) = v3 & ( ~ (v3 = all_0_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (139) with all_12_0_5, all_0_3_3 and discharging atoms ssList(all_12_0_5), ssList(all_0_3_3), yields:
% 21.11/8.07 | (349) ? [v0] : (app(all_0_3_3, all_12_0_5) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v0, v1) = v2 & app(all_0_3_3, v1) = v3 & ( ~ (v3 = all_0_3_3) | ~ (v2 = all_0_2_2)))))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (199) with all_12_0_5 and discharging atoms ssList(all_12_0_5), yields:
% 21.11/8.07 | (350) ? [v0] : ? [v1] : (app(all_38_0_17, all_12_0_5) = v0 & app(all_0_3_3, all_12_0_5) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (185) with all_12_0_5 and discharging atoms ssList(all_12_0_5), yields:
% 21.11/8.07 | (351) ? [v0] : ? [v1] : (app(all_26_0_10, all_12_0_5) = v0 & app(all_0_3_3, all_12_0_5) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (169) with all_12_0_5 and discharging atoms ssList(all_12_0_5), yields:
% 21.11/8.07 | (352) ? [v0] : ? [v1] : (app(all_17_0_7, all_12_0_5) = v0 & app(nil, all_12_0_5) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (349) with all_193_0_86 yields:
% 21.11/8.07 | (353) app(all_0_3_3, all_12_0_5) = all_193_0_86 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_193_0_86, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (353) yields:
% 21.11/8.07 | (354) app(all_0_3_3, all_12_0_5) = all_193_0_86
% 21.11/8.07 | (355) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_193_0_86, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (355) with all_12_0_5 and discharging atoms ssList(all_12_0_5), yields:
% 21.11/8.07 | (356) ? [v0] : ? [v1] : (app(all_193_0_86, all_12_0_5) = v0 & app(all_0_3_3, all_12_0_5) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (355) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.07 | (357) ? [v0] : ? [v1] : (app(all_193_0_86, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (351) with all_207_0_92, all_207_1_93 yields:
% 21.11/8.07 | (358) app(all_26_0_10, all_12_0_5) = all_207_1_93 & app(all_0_3_3, all_12_0_5) = all_207_0_92 & ( ~ (all_207_0_92 = all_0_3_3) | ~ (all_207_1_93 = all_0_2_2))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (358) yields:
% 21.11/8.07 | (359) app(all_26_0_10, all_12_0_5) = all_207_1_93
% 21.11/8.07 | (360) app(all_0_3_3, all_12_0_5) = all_207_0_92
% 21.11/8.07 | (361) ~ (all_207_0_92 = all_0_3_3) | ~ (all_207_1_93 = all_0_2_2)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (350) with all_209_0_94, all_209_1_95 yields:
% 21.11/8.07 | (362) app(all_38_0_17, all_12_0_5) = all_209_1_95 & app(all_0_3_3, all_12_0_5) = all_209_0_94 & ( ~ (all_209_0_94 = all_0_3_3) | ~ (all_209_1_95 = all_0_2_2))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (362) yields:
% 21.11/8.07 | (363) app(all_38_0_17, all_12_0_5) = all_209_1_95
% 21.11/8.07 | (364) app(all_0_3_3, all_12_0_5) = all_209_0_94
% 21.11/8.07 | (365) ~ (all_209_0_94 = all_0_3_3) | ~ (all_209_1_95 = all_0_2_2)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (352) with all_227_0_107, all_227_1_108 yields:
% 21.11/8.07 | (366) app(all_17_0_7, all_12_0_5) = all_227_1_108 & app(nil, all_12_0_5) = all_227_0_107 & ( ~ (all_227_0_107 = all_0_3_3) | ~ (all_227_1_108 = all_0_2_2))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (366) yields:
% 21.11/8.07 | (367) app(all_17_0_7, all_12_0_5) = all_227_1_108
% 21.11/8.07 | (368) app(nil, all_12_0_5) = all_227_0_107
% 21.11/8.07 | (369) ~ (all_227_0_107 = all_0_3_3) | ~ (all_227_1_108 = all_0_2_2)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (347) with all_253_0_125 yields:
% 21.11/8.07 | (370) app(nil, all_253_0_125) = all_0_2_2 & ssList(all_253_0_125)
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (370) yields:
% 21.11/8.07 | (371) app(nil, all_253_0_125) = all_0_2_2
% 21.11/8.07 | (372) ssList(all_253_0_125)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (348) with all_261_0_128 yields:
% 21.11/8.07 | (373) app(all_0_3_3, all_162_1_74) = all_261_0_128 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_261_0_128, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (373) yields:
% 21.11/8.07 | (374) app(all_0_3_3, all_162_1_74) = all_261_0_128
% 21.11/8.07 | (375) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(all_261_0_128, v0) = v1 & app(all_0_3_3, v0) = v2 & ( ~ (v2 = all_0_3_3) | ~ (v1 = all_0_2_2))))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (375) with all_12_0_5 and discharging atoms ssList(all_12_0_5), yields:
% 21.11/8.07 | (376) ? [v0] : ? [v1] : (app(all_261_0_128, all_12_0_5) = v0 & app(all_0_3_3, all_12_0_5) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (375) with nil and discharging atoms ssList(nil), yields:
% 21.11/8.07 | (377) ? [v0] : ? [v1] : (app(all_261_0_128, nil) = v0 & app(all_0_3_3, nil) = v1 & ( ~ (v1 = all_0_3_3) | ~ (v0 = all_0_2_2)))
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (346) with all_310_0_163 yields:
% 21.11/8.07 | (378) app(all_0_3_3, all_310_0_163) = all_74_1_50 & app(all_0_3_3, nil) = all_310_0_163
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (378) yields:
% 21.11/8.07 | (379) app(all_0_3_3, all_310_0_163) = all_74_1_50
% 21.11/8.07 | (380) app(all_0_3_3, nil) = all_310_0_163
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (357) with all_368_0_216, all_368_1_217 yields:
% 21.11/8.07 | (381) app(all_193_0_86, nil) = all_368_1_217 & app(all_0_3_3, nil) = all_368_0_216 & ( ~ (all_368_0_216 = all_0_3_3) | ~ (all_368_1_217 = all_0_2_2))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (381) yields:
% 21.11/8.07 | (382) app(all_193_0_86, nil) = all_368_1_217
% 21.11/8.07 | (383) app(all_0_3_3, nil) = all_368_0_216
% 21.11/8.07 | (384) ~ (all_368_0_216 = all_0_3_3) | ~ (all_368_1_217 = all_0_2_2)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (356) with all_374_0_222, all_374_1_223 yields:
% 21.11/8.07 | (385) app(all_193_0_86, all_12_0_5) = all_374_1_223 & app(all_0_3_3, all_12_0_5) = all_374_0_222 & ( ~ (all_374_0_222 = all_0_3_3) | ~ (all_374_1_223 = all_0_2_2))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (385) yields:
% 21.11/8.07 | (386) app(all_193_0_86, all_12_0_5) = all_374_1_223
% 21.11/8.07 | (387) app(all_0_3_3, all_12_0_5) = all_374_0_222
% 21.11/8.07 | (388) ~ (all_374_0_222 = all_0_3_3) | ~ (all_374_1_223 = all_0_2_2)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (377) with all_408_0_256, all_408_1_257 yields:
% 21.11/8.07 | (389) app(all_261_0_128, nil) = all_408_1_257 & app(all_0_3_3, nil) = all_408_0_256 & ( ~ (all_408_0_256 = all_0_3_3) | ~ (all_408_1_257 = all_0_2_2))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (389) yields:
% 21.11/8.07 | (390) app(all_261_0_128, nil) = all_408_1_257
% 21.11/8.07 | (391) app(all_0_3_3, nil) = all_408_0_256
% 21.11/8.07 | (392) ~ (all_408_0_256 = all_0_3_3) | ~ (all_408_1_257 = all_0_2_2)
% 21.11/8.07 |
% 21.11/8.07 | Instantiating (376) with all_412_0_260, all_412_1_261 yields:
% 21.11/8.07 | (393) app(all_261_0_128, all_12_0_5) = all_412_1_261 & app(all_0_3_3, all_12_0_5) = all_412_0_260 & ( ~ (all_412_0_260 = all_0_3_3) | ~ (all_412_1_261 = all_0_2_2))
% 21.11/8.07 |
% 21.11/8.07 | Applying alpha-rule on (393) yields:
% 21.11/8.07 | (394) app(all_261_0_128, all_12_0_5) = all_412_1_261
% 21.11/8.07 | (395) app(all_0_3_3, all_12_0_5) = all_412_0_260
% 21.11/8.07 | (396) ~ (all_412_0_260 = all_0_3_3) | ~ (all_412_1_261 = all_0_2_2)
% 21.11/8.07 |
% 21.11/8.07 | From (314) and (367) follows:
% 21.11/8.07 | (397) app(all_0_3_3, all_12_0_5) = all_227_1_108
% 21.11/8.07 |
% 21.11/8.07 | Instantiating formula (112) with all_0_3_3, all_12_0_5, all_374_0_222, all_412_0_260 and discharging atoms app(all_0_3_3, all_12_0_5) = all_412_0_260, app(all_0_3_3, all_12_0_5) = all_374_0_222, yields:
% 21.11/8.07 | (398) all_412_0_260 = all_374_0_222
% 21.11/8.07 |
% 21.11/8.08 | Instantiating formula (112) with all_0_3_3, all_12_0_5, all_227_1_108, all_374_0_222 and discharging atoms app(all_0_3_3, all_12_0_5) = all_374_0_222, app(all_0_3_3, all_12_0_5) = all_227_1_108, yields:
% 21.11/8.08 | (399) all_374_0_222 = all_227_1_108
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (112) with all_0_3_3, all_12_0_5, all_209_0_94, all_0_2_2 and discharging atoms app(all_0_3_3, all_12_0_5) = all_209_0_94, app(all_0_3_3, all_12_0_5) = all_0_2_2, yields:
% 21.11/8.08 | (400) all_209_0_94 = all_0_2_2
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (112) with all_0_3_3, all_12_0_5, all_209_0_94, all_227_1_108 and discharging atoms app(all_0_3_3, all_12_0_5) = all_227_1_108, app(all_0_3_3, all_12_0_5) = all_209_0_94, yields:
% 21.11/8.08 | (401) all_227_1_108 = all_209_0_94
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (112) with all_0_3_3, all_12_0_5, all_207_0_92, all_412_0_260 and discharging atoms app(all_0_3_3, all_12_0_5) = all_412_0_260, app(all_0_3_3, all_12_0_5) = all_207_0_92, yields:
% 21.11/8.08 | (402) all_412_0_260 = all_207_0_92
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (112) with all_0_3_3, all_12_0_5, all_193_0_86, all_209_0_94 and discharging atoms app(all_0_3_3, all_12_0_5) = all_209_0_94, app(all_0_3_3, all_12_0_5) = all_193_0_86, yields:
% 21.11/8.08 | (403) all_209_0_94 = all_193_0_86
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (112) with all_0_3_3, nil, all_368_0_216, all_408_0_256 and discharging atoms app(all_0_3_3, nil) = all_408_0_256, app(all_0_3_3, nil) = all_368_0_216, yields:
% 21.11/8.08 | (404) all_408_0_256 = all_368_0_216
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (10) with all_368_0_216, all_0_3_3 and discharging atoms app(all_0_3_3, nil) = all_368_0_216, ssList(all_0_3_3), yields:
% 21.11/8.08 | (405) all_368_0_216 = all_0_3_3
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (112) with all_0_3_3, nil, all_310_0_163, all_408_0_256 and discharging atoms app(all_0_3_3, nil) = all_408_0_256, app(all_0_3_3, nil) = all_310_0_163, yields:
% 21.11/8.08 | (406) all_408_0_256 = all_310_0_163
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (129) with all_0_2_2, all_253_0_125 and discharging atoms app(nil, all_253_0_125) = all_0_2_2, ssList(all_253_0_125), yields:
% 21.11/8.08 | (407) all_253_0_125 = all_0_2_2
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (398,402) yields a new equation:
% 21.11/8.08 | (408) all_374_0_222 = all_207_0_92
% 21.11/8.08 |
% 21.11/8.08 | Simplifying 408 yields:
% 21.11/8.08 | (409) all_374_0_222 = all_207_0_92
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (404,406) yields a new equation:
% 21.11/8.08 | (410) all_368_0_216 = all_310_0_163
% 21.11/8.08 |
% 21.11/8.08 | Simplifying 410 yields:
% 21.11/8.08 | (411) all_368_0_216 = all_310_0_163
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (399,409) yields a new equation:
% 21.11/8.08 | (412) all_227_1_108 = all_207_0_92
% 21.11/8.08 |
% 21.11/8.08 | Simplifying 412 yields:
% 21.11/8.08 | (413) all_227_1_108 = all_207_0_92
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (405,411) yields a new equation:
% 21.11/8.08 | (414) all_310_0_163 = all_0_3_3
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (401,413) yields a new equation:
% 21.11/8.08 | (415) all_209_0_94 = all_207_0_92
% 21.11/8.08 |
% 21.11/8.08 | Simplifying 415 yields:
% 21.11/8.08 | (416) all_209_0_94 = all_207_0_92
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (400,416) yields a new equation:
% 21.11/8.08 | (417) all_207_0_92 = all_0_2_2
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (403,416) yields a new equation:
% 21.11/8.08 | (418) all_207_0_92 = all_193_0_86
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (418,417) yields a new equation:
% 21.11/8.08 | (419) all_193_0_86 = all_0_2_2
% 21.11/8.08 |
% 21.11/8.08 | Simplifying 419 yields:
% 21.11/8.08 | (420) all_193_0_86 = all_0_2_2
% 21.11/8.08 |
% 21.11/8.08 | Combining equations (414,411) yields a new equation:
% 21.11/8.08 | (405) all_368_0_216 = all_0_3_3
% 21.11/8.08 |
% 21.11/8.08 | From (420) and (382) follows:
% 21.11/8.08 | (422) app(all_0_2_2, nil) = all_368_1_217
% 21.11/8.08 |
% 21.11/8.08 | From (407) and (372) follows:
% 21.11/8.08 | (7) ssList(all_0_2_2)
% 21.11/8.08 |
% 21.11/8.08 +-Applying beta-rule and splitting (384), into two cases.
% 21.11/8.08 |-Branch one:
% 21.11/8.08 | (424) ~ (all_368_0_216 = all_0_3_3)
% 21.11/8.08 |
% 21.11/8.08 | Equations (405) can reduce 424 to:
% 21.11/8.08 | (339) $false
% 21.11/8.08 |
% 21.11/8.08 |-The branch is then unsatisfiable
% 21.11/8.08 |-Branch two:
% 21.11/8.08 | (405) all_368_0_216 = all_0_3_3
% 21.11/8.08 | (427) ~ (all_368_1_217 = all_0_2_2)
% 21.11/8.08 |
% 21.11/8.08 | Instantiating formula (10) with all_368_1_217, all_0_2_2 and discharging atoms app(all_0_2_2, nil) = all_368_1_217, ssList(all_0_2_2), yields:
% 21.11/8.08 | (428) all_368_1_217 = all_0_2_2
% 21.11/8.08 |
% 21.11/8.08 | Equations (428) can reduce 427 to:
% 21.11/8.08 | (339) $false
% 21.11/8.08 |
% 21.11/8.08 |-The branch is then unsatisfiable
% 21.11/8.08 |-Branch two:
% 21.11/8.08 | (430) all_68_0_43 = all_0_3_3
% 21.11/8.08 | (431) ~ (all_68_1_44 = all_0_2_2)
% 21.11/8.08 |
% 21.11/8.08 | Equations (330) can reduce 431 to:
% 21.11/8.08 | (339) $false
% 21.11/8.08 |
% 21.11/8.08 |-The branch is then unsatisfiable
% 21.11/8.08 % SZS output end Proof for theBenchmark
% 21.11/8.08
% 21.11/8.08 7477ms
%------------------------------------------------------------------------------