TSTP Solution File: SWC189+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC189+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:16:43 EDT 2022
% Result : Theorem 6.31s 2.05s
% Output : Proof 20.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC189+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n024.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 14:30:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.58 ____ _
% 0.59/0.58 ___ / __ \_____(_)___ ________ __________
% 0.59/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.58
% 0.59/0.58 A Theorem Prover for First-Order Logic
% 0.59/0.58 (ePrincess v.1.0)
% 0.59/0.58
% 0.59/0.58 (c) Philipp Rümmer, 2009-2015
% 0.59/0.58 (c) Peter Backeman, 2014-2015
% 0.59/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.58 Bug reports to peter@backeman.se
% 0.59/0.58
% 0.59/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.58
% 0.59/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.62/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.17/1.08 Prover 0: Preprocessing ...
% 4.74/1.67 Prover 0: Constructing countermodel ...
% 6.31/2.04 Prover 0: proved (1414ms)
% 6.31/2.05
% 6.31/2.05 No countermodel exists, formula is valid
% 6.31/2.05 % SZS status Theorem for theBenchmark
% 6.31/2.05
% 6.31/2.05 Generating proof ... found it (size 326)
% 20.06/7.00
% 20.06/7.00 % SZS output start Proof for theBenchmark
% 20.06/7.00 Assumed formulas after preprocessing and simplification:
% 20.06/7.00 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v10) & ~ (v4 = v2) & cons(v4, nil) = v5 & cons(v2, nil) = v3 & app(v8, v9) = v0 & app(v7, v5) = v8 & app(v6, v3) = v7 & equalelemsP(nil) & duplicatefreeP(nil) & strictorderedP(nil) & totalorderedP(nil) & strictorderP(nil) & totalorderP(nil) & cyclefreeP(nil) & segmentP(nil, nil) & rearsegP(nil, nil) & frontsegP(nil, nil) & ssList(v9) & ssList(v6) & ssList(v1) & ssList(v0) & ssList(nil) & ssItem(v11) & ssItem(v10) & ssItem(v4) & ssItem(v2) & ~ singletonP(nil) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v14, v19) = v20) | ~ (cons(v13, v16) = v17) | ~ (app(v18, v20) = v12) | ~ (app(v15, v17) = v18) | ~ strictorderedP(v12) | ~ ssList(v19) | ~ ssList(v16) | ~ ssList(v15) | ~ ssList(v12) | ~ ssItem(v14) | ~ ssItem(v13) | lt(v13, v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v14, v19) = v20) | ~ (cons(v13, v16) = v17) | ~ (app(v18, v20) = v12) | ~ (app(v15, v17) = v18) | ~ totalorderedP(v12) | ~ ssList(v19) | ~ ssList(v16) | ~ ssList(v15) | ~ ssList(v12) | ~ ssItem(v14) | ~ ssItem(v13) | leq(v13, v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v14, v19) = v20) | ~ (cons(v13, v16) = v17) | ~ (app(v18, v20) = v12) | ~ (app(v15, v17) = v18) | ~ strictorderP(v12) | ~ ssList(v19) | ~ ssList(v16) | ~ ssList(v15) | ~ ssList(v12) | ~ ssItem(v14) | ~ ssItem(v13) | lt(v14, v13) | lt(v13, v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v14, v19) = v20) | ~ (cons(v13, v16) = v17) | ~ (app(v18, v20) = v12) | ~ (app(v15, v17) = v18) | ~ totalorderP(v12) | ~ ssList(v19) | ~ ssList(v16) | ~ ssList(v15) | ~ ssList(v12) | ~ ssItem(v14) | ~ ssItem(v13) | leq(v14, v13) | leq(v13, v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v14, v19) = v20) | ~ (cons(v13, v16) = v17) | ~ (app(v18, v20) = v12) | ~ (app(v15, v17) = v18) | ~ leq(v14, v13) | ~ leq(v13, v14) | ~ cyclefreeP(v12) | ~ ssList(v19) | ~ ssList(v16) | ~ ssList(v15) | ~ ssList(v12) | ~ ssItem(v14) | ~ ssItem(v13)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (cons(v13, v18) = v19) | ~ (cons(v13, v15) = v16) | ~ (app(v17, v19) = v12) | ~ (app(v14, v16) = v17) | ~ duplicatefreeP(v12) | ~ ssList(v18) | ~ ssList(v15) | ~ ssList(v14) | ~ ssList(v12) | ~ ssItem(v13)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v14 = v13 | ~ (cons(v14, v16) = v17) | ~ (cons(v13, v17) = v18) | ~ (app(v15, v18) = v12) | ~ equalelemsP(v12) | ~ ssList(v16) | ~ ssList(v15) | ~ ssList(v12) | ~ ssItem(v14) | ~ ssItem(v13)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v13 = v12 | ~ (cons(v13, v16) = v17) | ~ (cons(v12, v14) = v15) | ~ frontsegP(v15, v17) | ~ ssList(v16) | ~ ssList(v14) | ~ ssItem(v13) | ~ ssItem(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (cons(v15, v13) = v16) | ~ (app(v16, v12) = v17) | ~ (app(v13, v12) = v14) | ~ ssList(v13) | ~ ssList(v12) | ~ ssItem(v15) | cons(v15, v14) = v17) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (cons(v13, v16) = v17) | ~ (cons(v12, v14) = v15) | ~ frontsegP(v15, v17) | ~ ssList(v16) | ~ ssList(v14) | ~ ssItem(v13) | ~ ssItem(v12) | frontsegP(v14, v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (app(v15, v16) = v17) | ~ (app(v14, v12) = v15) | ~ segmentP(v12, v13) | ~ ssList(v16) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | segmentP(v17, v13)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (app(v13, v15) = v16) | ~ (app(v12, v16) = v17) | ~ (app(v12, v13) = v14) | ~ ssList(v15) | ~ ssList(v13) | ~ ssList(v12) | app(v14, v15) = v17) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (cons(v16, v13) = v15) | ~ (cons(v14, v12) = v15) | ~ ssList(v13) | ~ ssList(v12) | ~ ssItem(v16) | ~ ssItem(v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (cons(v16, v13) = v15) | ~ (cons(v14, v12) = v15) | ~ ssList(v13) | ~ ssList(v12) | ~ ssItem(v16) | ~ ssItem(v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (cons(v15, v14) = v16) | ~ (app(v13, v12) = v14) | ~ ssList(v13) | ~ ssList(v12) | ~ ssItem(v15) | ? [v17] : (cons(v15, v13) = v17 & app(v17, v12) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (cons(v13, v15) = v16) | ~ (app(v14, v16) = v12) | ~ ssList(v15) | ~ ssList(v14) | ~ ssList(v12) | ~ ssItem(v13) | memberP(v12, v13)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (cons(v12, v15) = v16) | ~ (cons(v12, v13) = v14) | ~ frontsegP(v13, v15) | ~ ssList(v15) | ~ ssList(v13) | ~ ssItem(v12) | frontsegP(v14, v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (app(v15, v16) = v12) | ~ (app(v14, v13) = v15) | ~ ssList(v16) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | segmentP(v12, v13)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (app(v14, v15) = v16) | ~ (app(v12, v13) = v14) | ~ ssList(v15) | ~ ssList(v13) | ~ ssList(v12) | ? [v17] : (app(v13, v15) = v17 & app(v12, v17) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | v12 = nil | ~ (tl(v12) = v14) | ~ (hd(v12) = v13) | ~ (cons(v13, v14) = v15) | ~ ssList(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (app(v15, v13) = v14) | ~ (app(v12, v13) = v14) | ~ ssList(v15) | ~ ssList(v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (app(v13, v15) = v14) | ~ (app(v13, v12) = v14) | ~ ssList(v15) | ~ ssList(v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (cons(v15, v14) = v13) | ~ (cons(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (cons(v13, v14) = v15) | ~ memberP(v15, v12) | ~ ssList(v14) | ~ ssItem(v13) | ~ ssItem(v12) | memberP(v14, v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (app(v15, v14) = v13) | ~ (app(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (tl(v12) = v13) | ~ (app(v13, v14) = v15) | ~ ssList(v14) | ~ ssList(v12) | ? [v16] : (tl(v16) = v15 & app(v12, v14) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (tl(v12) = v13) | ~ (app(v12, v14) = v15) | ~ ssList(v14) | ~ ssList(v12) | ? [v16] : (tl(v15) = v16 & app(v13, v14) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (hd(v12) = v13) | ~ (app(v12, v14) = v15) | ~ ssList(v14) | ~ ssList(v12) | hd(v15) = v13) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (cons(v13, v14) = v15) | ~ memberP(v14, v12) | ~ ssList(v14) | ~ ssItem(v13) | ~ ssItem(v12) | memberP(v15, v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (cons(v13, nil) = v14) | ~ (app(v14, v12) = v15) | ~ ssList(v12) | ~ ssItem(v13) | cons(v13, v12) = v15) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (app(v14, v12) = v15) | ~ rearsegP(v12, v13) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | rearsegP(v15, v13)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (app(v13, v14) = v15) | ~ memberP(v15, v12) | ~ ssList(v14) | ~ ssList(v13) | ~ ssItem(v12) | memberP(v14, v12) | memberP(v13, v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (app(v13, v14) = v15) | ~ memberP(v14, v12) | ~ ssList(v14) | ~ ssList(v13) | ~ ssItem(v12) | memberP(v15, v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (app(v13, v14) = v15) | ~ memberP(v13, v12) | ~ ssList(v14) | ~ ssList(v13) | ~ ssItem(v12) | memberP(v15, v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (app(v12, v14) = v15) | ~ frontsegP(v12, v13) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | frontsegP(v15, v13)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (tl(v14) = v13) | ~ (tl(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (hd(v14) = v13) | ~ (hd(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (hd(v13) = v14) | ~ ssList(v13) | ~ ssItem(v12) | ? [v15] : (cons(v12, v13) = v15 & (v13 = nil | ~ strictorderedP(v15) | (strictorderedP(v13) & lt(v12, v14))) & (strictorderedP(v15) | ( ~ (v13 = nil) & ( ~ strictorderedP(v13) | ~ lt(v12, v14)))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (hd(v13) = v14) | ~ ssList(v13) | ~ ssItem(v12) | ? [v15] : (cons(v12, v13) = v15 & (v13 = nil | ~ totalorderedP(v15) | (totalorderedP(v13) & leq(v12, v14))) & (totalorderedP(v15) | ( ~ (v13 = nil) & ( ~ totalorderedP(v13) | ~ leq(v12, v14)))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (cons(v13, v12) = v14) | ~ ssList(v12) | ~ ssItem(v13) | tl(v14) = v12) & ! [v12] : ! [v13] : ! [v14] : ( ~ (cons(v13, v12) = v14) | ~ ssList(v12) | ~ ssItem(v13) | hd(v14) = v13) & ! [v12] : ! [v13] : ! [v14] : ( ~ (cons(v13, v12) = v14) | ~ ssList(v12) | ~ ssItem(v13) | ssList(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (cons(v13, v12) = v14) | ~ ssList(v12) | ~ ssItem(v13) | ? [v15] : (cons(v13, nil) = v15 & app(v15, v12) = v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (cons(v12, v13) = v14) | ~ ssList(v13) | ~ ssItem(v12) | memberP(v14, v12)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (cons(v12, v13) = v14) | ~ ssList(v13) | ~ ssItem(v12) | ? [v15] : (hd(v13) = v15 & (v13 = nil | ~ strictorderedP(v14) | (strictorderedP(v13) & lt(v12, v15))) & (strictorderedP(v14) | ( ~ (v13 = nil) & ( ~ strictorderedP(v13) | ~ lt(v12, v15)))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (cons(v12, v13) = v14) | ~ ssList(v13) | ~ ssItem(v12) | ? [v15] : (hd(v13) = v15 & (v13 = nil | ~ totalorderedP(v14) | (totalorderedP(v13) & leq(v12, v15))) & (totalorderedP(v14) | ( ~ (v13 = nil) & ( ~ totalorderedP(v13) | ~ leq(v12, v15)))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (app(v14, v13) = v12) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | rearsegP(v12, v13)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (app(v13, v14) = v12) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | frontsegP(v12, v13)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (app(v12, v13) = v14) | ~ ssList(v13) | ~ ssList(v12) | ssList(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ gt(v13, v14) | ~ gt(v12, v13) | ~ ssItem(v14) | ~ ssItem(v13) | ~ ssItem(v12) | gt(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ geq(v13, v14) | ~ geq(v12, v13) | ~ ssItem(v14) | ~ ssItem(v13) | ~ ssItem(v12) | geq(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ lt(v13, v14) | ~ lt(v12, v13) | ~ ssItem(v14) | ~ ssItem(v13) | ~ ssItem(v12) | lt(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ lt(v13, v14) | ~ leq(v12, v13) | ~ ssItem(v14) | ~ ssItem(v13) | ~ ssItem(v12) | lt(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ leq(v13, v14) | ~ leq(v12, v13) | ~ ssItem(v14) | ~ ssItem(v13) | ~ ssItem(v12) | leq(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ segmentP(v13, v14) | ~ segmentP(v12, v13) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | segmentP(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ rearsegP(v13, v14) | ~ rearsegP(v12, v13) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | rearsegP(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ frontsegP(v13, v14) | ~ frontsegP(v12, v13) | ~ ssList(v14) | ~ ssList(v13) | ~ ssList(v12) | frontsegP(v12, v14)) & ! [v12] : ! [v13] : (v13 = v12 | ~ (app(v12, nil) = v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : (v13 = v12 | ~ (app(nil, v12) = v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : (v13 = v12 | ~ geq(v13, v12) | ~ geq(v12, v13) | ~ ssItem(v13) | ~ ssItem(v12)) & ! [v12] : ! [v13] : (v13 = v12 | ~ leq(v13, v12) | ~ leq(v12, v13) | ~ ssItem(v13) | ~ ssItem(v12)) & ! [v12] : ! [v13] : (v13 = v12 | ~ leq(v12, v13) | ~ ssItem(v13) | ~ ssItem(v12) | lt(v12, v13)) & ! [v12] : ! [v13] : (v13 = v12 | ~ segmentP(v13, v12) | ~ segmentP(v12, v13) | ~ ssList(v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : (v13 = v12 | ~ rearsegP(v13, v12) | ~ rearsegP(v12, v13) | ~ ssList(v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : (v13 = v12 | ~ frontsegP(v13, v12) | ~ frontsegP(v12, v13) | ~ ssList(v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : (v13 = v12 | ~ ssList(v13) | ~ ssList(v12) | neq(v12, v13)) & ! [v12] : ! [v13] : (v13 = v12 | ~ ssItem(v13) | ~ ssItem(v12) | neq(v12, v13)) & ! [v12] : ! [v13] : (v13 = nil | ~ (app(v12, v13) = nil) | ~ ssList(v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : (v12 = nil | ~ (tl(v12) = v13) | ~ ssList(v12) | ssList(v13)) & ! [v12] : ! [v13] : (v12 = nil | ~ (hd(v12) = v13) | ~ ssList(v12) | ssItem(v13)) & ! [v12] : ! [v13] : (v12 = nil | ~ (app(v12, v13) = nil) | ~ ssList(v13) | ~ ssList(v12)) & ! [v12] : ! [v13] : ( ~ (tl(v12) = v13) | ~ ssList(v12) | ? [v14] : (hd(v12) = v14 & ! [v15] : (v15 = v12 | v15 = nil | v12 = nil | ~ (tl(v15) = v13) | ~ ssList(v15) | ? [v16] : ( ~ (v16 = v14) & hd(v15) = v16)) & ! [v15] : (v15 = v12 | v15 = nil | v12 = nil | ~ (hd(v15) = v14) | ~ ssList(v15) | ? [v16] : ( ~ (v16 = v13) & tl(v15) = v16)))) & ! [v12] : ! [v13] : ( ~ (hd(v12) = v13) | ~ ssList(v12) | ? [v14] : (tl(v12) = v14 & ! [v15] : (v15 = v12 | v15 = nil | v12 = nil | ~ (tl(v15) = v14) | ~ ssList(v15) | ? [v16] : ( ~ (v16 = v13) & hd(v15) = v16)) & ! [v15] : (v15 = v12 | v15 = nil | v12 = nil | ~ (hd(v15) = v13) | ~ ssList(v15) | ? [v16] : ( ~ (v16 = v14) & tl(v15) = v16)))) & ! [v12] : ! [v13] : ( ~ (cons(v13, v12) = v12) | ~ ssList(v12) | ~ ssItem(v13)) & ! [v12] : ! [v13] : ( ~ (cons(v13, v12) = nil) | ~ ssList(v12) | ~ ssItem(v13)) & ! [v12] : ! [v13] : ( ~ (cons(v13, nil) = v12) | ~ ssList(v12) | ~ ssItem(v13) | singletonP(v12)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ~ ssItem(v12) | equalelemsP(v13)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ~ ssItem(v12) | duplicatefreeP(v13)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ~ ssItem(v12) | strictorderedP(v13)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ~ ssItem(v12) | totalorderedP(v13)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ~ ssItem(v12) | strictorderP(v13)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ~ ssItem(v12) | totalorderP(v13)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ~ ssItem(v12) | cyclefreeP(v13)) & ! [v12] : ! [v13] : ( ~ gt(v13, v12) | ~ gt(v12, v13) | ~ ssItem(v13) | ~ ssItem(v12)) & ! [v12] : ! [v13] : ( ~ gt(v12, v13) | ~ ssItem(v13) | ~ ssItem(v12) | lt(v13, v12)) & ! [v12] : ! [v13] : ( ~ geq(v12, v13) | ~ ssItem(v13) | ~ ssItem(v12) | leq(v13, v12)) & ! [v12] : ! [v13] : ( ~ lt(v13, v12) | ~ lt(v12, v13) | ~ ssItem(v13) | ~ ssItem(v12)) & ! [v12] : ! [v13] : ( ~ lt(v13, v12) | ~ ssItem(v13) | ~ ssItem(v12) | gt(v12, v13)) & ! [v12] : ! [v13] : ( ~ lt(v12, v13) | ~ ssItem(v13) | ~ ssItem(v12) | leq(v12, v13)) & ! [v12] : ! [v13] : ( ~ leq(v13, v12) | ~ ssItem(v13) | ~ ssItem(v12) | geq(v12, v13)) & ! [v12] : ! [v13] : ( ~ segmentP(v12, v13) | ~ ssList(v13) | ~ ssList(v12) | ? [v14] : ? [v15] : ? [v16] : (app(v15, v16) = v12 & app(v14, v13) = v15 & ssList(v16) & ssList(v14))) & ! [v12] : ! [v13] : ( ~ rearsegP(v12, v13) | ~ ssList(v13) | ~ ssList(v12) | ? [v14] : (app(v14, v13) = v12 & ssList(v14))) & ! [v12] : ! [v13] : ( ~ frontsegP(v12, v13) | ~ ssList(v13) | ~ ssList(v12) | ? [v14] : (app(v13, v14) = v12 & ssList(v14))) & ! [v12] : ! [v13] : ( ~ memberP(v12, v13) | ~ ssList(v12) | ~ ssItem(v13) | ? [v14] : ? [v15] : ? [v16] : (cons(v13, v15) = v16 & app(v14, v16) = v12 & ssList(v15) & ssList(v14))) & ! [v12] : (v12 = nil | ~ (app(nil, nil) = v12)) & ! [v12] : (v12 = nil | ~ segmentP(nil, v12) | ~ ssList(v12)) & ! [v12] : (v12 = nil | ~ rearsegP(nil, v12) | ~ ssList(v12)) & ! [v12] : (v12 = nil | ~ frontsegP(nil, v12) | ~ ssList(v12)) & ! [v12] : (v12 = nil | ~ ssList(v12) | ? [v13] : ? [v14] : (cons(v14, v13) = v12 & ssList(v13) & ssItem(v14))) & ! [v12] : ( ~ lt(v12, v12) | ~ ssItem(v12)) & ! [v12] : ( ~ singletonP(v12) | ~ ssList(v12) | ? [v13] : (cons(v13, nil) = v12 & ssItem(v13))) & ! [v12] : ( ~ memberP(nil, v12) | ~ ssItem(v12)) & ! [v12] : ( ~ ssList(v12) | ~ neq(v12, v12)) & ! [v12] : ( ~ ssList(v12) | equalelemsP(v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ( ~ (v14 = v13) & cons(v14, v16) = v17 & cons(v13, v17) = v18 & app(v15, v18) = v12 & ssList(v16) & ssList(v15) & ssItem(v14) & ssItem(v13))) & ! [v12] : ( ~ ssList(v12) | duplicatefreeP(v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (cons(v13, v18) = v19 & cons(v13, v15) = v16 & app(v17, v19) = v12 & app(v14, v16) = v17 & ssList(v18) & ssList(v15) & ssList(v14) & ssItem(v13))) & ! [v12] : ( ~ ssList(v12) | strictorderedP(v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (cons(v14, v19) = v20 & cons(v13, v16) = v17 & app(v18, v20) = v12 & app(v15, v17) = v18 & ssList(v19) & ssList(v16) & ssList(v15) & ssItem(v14) & ssItem(v13) & ~ lt(v13, v14))) & ! [v12] : ( ~ ssList(v12) | totalorderedP(v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (cons(v14, v19) = v20 & cons(v13, v16) = v17 & app(v18, v20) = v12 & app(v15, v17) = v18 & ssList(v19) & ssList(v16) & ssList(v15) & ssItem(v14) & ssItem(v13) & ~ leq(v13, v14))) & ! [v12] : ( ~ ssList(v12) | strictorderP(v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (cons(v14, v19) = v20 & cons(v13, v16) = v17 & app(v18, v20) = v12 & app(v15, v17) = v18 & ssList(v19) & ssList(v16) & ssList(v15) & ssItem(v14) & ssItem(v13) & ~ lt(v14, v13) & ~ lt(v13, v14))) & ! [v12] : ( ~ ssList(v12) | totalorderP(v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (cons(v14, v19) = v20 & cons(v13, v16) = v17 & app(v18, v20) = v12 & app(v15, v17) = v18 & ssList(v19) & ssList(v16) & ssList(v15) & ssItem(v14) & ssItem(v13) & ~ leq(v14, v13) & ~ leq(v13, v14))) & ! [v12] : ( ~ ssList(v12) | cyclefreeP(v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (cons(v14, v19) = v20 & cons(v13, v16) = v17 & app(v18, v20) = v12 & app(v15, v17) = v18 & leq(v14, v13) & leq(v13, v14) & ssList(v19) & ssList(v16) & ssList(v15) & ssItem(v14) & ssItem(v13))) & ! [v12] : ( ~ ssList(v12) | segmentP(v12, v12)) & ! [v12] : ( ~ ssList(v12) | segmentP(v12, nil)) & ! [v12] : ( ~ ssList(v12) | rearsegP(v12, v12)) & ! [v12] : ( ~ ssList(v12) | rearsegP(v12, nil)) & ! [v12] : ( ~ ssList(v12) | frontsegP(v12, v12)) & ! [v12] : ( ~ ssList(v12) | frontsegP(v12, nil)) & ! [v12] : ( ~ neq(v12, v12) | ~ ssItem(v12)) & ! [v12] : ( ~ ssItem(v12) | geq(v12, v12)) & ! [v12] : ( ~ ssItem(v12) | leq(v12, v12)) & ! [v12] : ( ~ ssItem(v12) | ? [v13] : (cons(v12, nil) = v13 & ! [v14] : ( ~ ssItem(v14) | ? [v15] : (cons(v14, nil) = v15 & ! [v16] : ( ~ ssList(v16) | ? [v17] : ? [v18] : (app(v17, v15) = v18 & app(v16, v13) = v17 & ! [v19] : (v14 = v12 | ~ ssList(v19) | ? [v20] : ( ~ (v20 = v0) & app(v18, v19) = v20)))))))))
% 20.14/7.07 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11 yields:
% 20.14/7.07 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_7_7 = all_0_9_9) & cons(all_0_7_7, nil) = all_0_6_6 & cons(all_0_9_9, nil) = all_0_8_8 & app(all_0_3_3, all_0_2_2) = all_0_11_11 & app(all_0_4_4, all_0_6_6) = all_0_3_3 & app(all_0_5_5, all_0_8_8) = all_0_4_4 & equalelemsP(nil) & duplicatefreeP(nil) & strictorderedP(nil) & totalorderedP(nil) & strictorderP(nil) & totalorderP(nil) & cyclefreeP(nil) & segmentP(nil, nil) & rearsegP(nil, nil) & frontsegP(nil, nil) & ssList(all_0_2_2) & ssList(all_0_5_5) & ssList(all_0_10_10) & ssList(all_0_11_11) & ssList(nil) & ssItem(all_0_0_0) & ssItem(all_0_1_1) & ssItem(all_0_7_7) & ssItem(all_0_9_9) & ~ 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] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = nil | ~ segmentP(nil, v0) | ~ ssList(v0)) & ! [v0] : (v0 = nil | ~ rearsegP(nil, v0) | ~ ssList(v0)) & ! [v0] : (v0 = nil | ~ frontsegP(nil, v0) | ~ ssList(v0)) & ! [v0] : (v0 = nil | ~ ssList(v0) | ? [v1] : ? [v2] : (cons(v2, v1) = v0 & ssList(v1) & ssItem(v2))) & ! [v0] : ( ~ lt(v0, v0) | ~ ssItem(v0)) & ! [v0] : ( ~ singletonP(v0) | ~ ssList(v0) | ? [v1] : (cons(v1, nil) = v0 & ssItem(v1))) & ! [v0] : ( ~ memberP(nil, v0) | ~ ssItem(v0)) & ! [v0] : ( ~ ssList(v0) | ~ neq(v0, v0)) & ! [v0] : ( ~ ssList(v0) | equalelemsP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v2 = v1) & cons(v2, v4) = v5 & cons(v1, v5) = v6 & app(v3, v6) = v0 & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1))) & ! [v0] : ( ~ ssList(v0) | duplicatefreeP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (cons(v1, v6) = v7 & cons(v1, v3) = v4 & app(v5, v7) = v0 & app(v2, v4) = v5 & ssList(v6) & ssList(v3) & ssList(v2) & ssItem(v1))) & ! [v0] : ( ~ ssList(v0) | strictorderedP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ lt(v1, v2))) & ! [v0] : ( ~ ssList(v0) | totalorderedP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ leq(v1, v2))) & ! [v0] : ( ~ ssList(v0) | strictorderP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ lt(v2, v1) & ~ lt(v1, v2))) & ! [v0] : ( ~ ssList(v0) | totalorderP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ leq(v2, v1) & ~ leq(v1, v2))) & ! [v0] : ( ~ ssList(v0) | cyclefreeP(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & leq(v2, v1) & leq(v1, v2) & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1))) & ! [v0] : ( ~ ssList(v0) | segmentP(v0, v0)) & ! [v0] : ( ~ ssList(v0) | segmentP(v0, nil)) & ! [v0] : ( ~ ssList(v0) | rearsegP(v0, v0)) & ! [v0] : ( ~ ssList(v0) | rearsegP(v0, nil)) & ! [v0] : ( ~ ssList(v0) | frontsegP(v0, v0)) & ! [v0] : ( ~ ssList(v0) | frontsegP(v0, nil)) & ! [v0] : ( ~ neq(v0, v0) | ~ ssItem(v0)) & ! [v0] : ( ~ ssItem(v0) | geq(v0, v0)) & ! [v0] : ( ~ ssItem(v0) | leq(v0, v0)) & ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssItem(v2) | ? [v3] : (cons(v2, nil) = v3 & ! [v4] : ( ~ ssList(v4) | ? [v5] : ? [v6] : (app(v5, v3) = v6 & app(v4, v1) = v5 & ! [v7] : (v2 = v0 | ~ ssList(v7) | ? [v8] : ( ~ (v8 = all_0_11_11) & app(v6, v7) = v8))))))))
% 20.14/7.10 |
% 20.14/7.10 | Applying alpha-rule on (1) yields:
% 20.14/7.10 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ lt(v1, v2) | ~ leq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v2))
% 20.14/7.10 | (3) ! [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))
% 20.14/7.10 | (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) | ~ totalorderedP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | leq(v1, v2))
% 20.14/7.10 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v0, v1) = v2) | ~ ssList(v1) | ~ ssList(v0) | ssList(v2))
% 20.14/7.10 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ frontsegP(v1, v2) | ~ frontsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v0, v2))
% 20.14/7.10 | (7) ! [v0] : ( ~ ssList(v0) | segmentP(v0, nil))
% 20.14/7.10 | (8) ! [v0] : ( ~ ssList(v0) | ~ neq(v0, v0))
% 20.14/7.10 | (9) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v1))
% 20.14/7.10 | (10) app(all_0_5_5, all_0_8_8) = all_0_4_4
% 20.14/7.10 | (11) ! [v0] : ( ~ neq(v0, v0) | ~ ssItem(v0))
% 20.14/7.10 | (12) ! [v0] : ! [v1] : ( ~ gt(v1, v0) | ~ gt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 20.14/7.10 | (13) duplicatefreeP(nil)
% 20.14/7.10 | (14) ! [v0] : (v0 = nil | ~ frontsegP(nil, v0) | ~ ssList(v0))
% 20.14/7.10 | (15) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | equalelemsP(v1))
% 20.14/7.10 | (16) ! [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))
% 20.14/7.10 | (17) totalorderP(nil)
% 20.14/7.10 | (18) ! [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)
% 20.14/7.10 | (19) ! [v0] : ! [v1] : (v1 = v0 | ~ rearsegP(v1, v0) | ~ rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 20.14/7.10 | (20) ~ (all_0_0_0 = all_0_1_1)
% 20.14/7.10 | (21) ! [v0] : ! [v1] : ( ~ leq(v1, v0) | ~ ssItem(v1) | ~ ssItem(v0) | geq(v0, v1))
% 20.14/7.10 | (22) ssList(nil)
% 20.14/7.10 | (23) ! [v0] : ( ~ ssItem(v0) | geq(v0, v0))
% 20.14/7.11 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ segmentP(v1, v2) | ~ segmentP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v0, v2))
% 20.14/7.11 | (25) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | strictorderedP(v1))
% 20.14/7.11 | (26) ssItem(all_0_7_7)
% 20.14/7.11 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ ssItem(v2))
% 20.14/7.11 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cons(v1, v3) = v4) | ~ (app(v2, v4) = v0) | ~ ssList(v3) | ~ ssList(v2) | ~ ssList(v0) | ~ ssItem(v1) | memberP(v0, v1))
% 20.14/7.11 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | ssList(v2))
% 20.14/7.11 | (30) strictorderedP(nil)
% 20.14/7.11 | (31) ! [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))
% 20.14/7.11 | (32) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | cyclefreeP(v1))
% 20.14/7.11 | (33) ! [v0] : (v0 = nil | ~ ssList(v0) | ? [v1] : ? [v2] : (cons(v2, v1) = v0 & ssList(v1) & ssItem(v2)))
% 20.14/7.11 | (34) ! [v0] : ! [v1] : ( ~ lt(v1, v0) | ~ ssItem(v1) | ~ ssItem(v0) | gt(v0, v1))
% 20.14/7.11 | (35) rearsegP(nil, nil)
% 20.14/7.11 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | hd(v2) = v1)
% 20.14/7.11 | (37) ! [v0] : ( ~ singletonP(v0) | ~ ssList(v0) | ? [v1] : (cons(v1, nil) = v0 & ssItem(v1)))
% 20.14/7.11 | (38) ssItem(all_0_9_9)
% 20.14/7.11 | (39) ! [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))
% 20.14/7.11 | (40) ! [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))
% 20.14/7.11 | (41) ! [v0] : ( ~ ssList(v0) | frontsegP(v0, v0))
% 20.14/7.11 | (42) ! [v0] : (v0 = nil | ~ rearsegP(nil, v0) | ~ ssList(v0))
% 20.14/7.11 | (43) ! [v0] : ! [v1] : ( ~ gt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v1, v0))
% 20.14/7.11 | (44) equalelemsP(nil)
% 20.14/7.11 | (45) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v1, v0) | ~ leq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 20.14/7.11 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v2, v1) = v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v0, v1))
% 20.14/7.11 | (47) ! [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))))))
% 20.14/7.11 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ gt(v1, v2) | ~ gt(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | gt(v0, v2))
% 20.14/7.11 | (49) app(all_0_4_4, all_0_6_6) = all_0_3_3
% 20.14/7.11 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.14/7.11 | (51) ! [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)))
% 20.14/7.11 | (52) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | duplicatefreeP(v1))
% 20.14/7.11 | (53) ! [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))
% 20.14/7.11 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0))
% 20.14/7.11 | (55) ! [v0] : ( ~ memberP(nil, v0) | ~ ssItem(v0))
% 20.14/7.11 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ~ ssList(v0) | ~ ssItem(v1) | cons(v1, v0) = v3)
% 20.14/7.12 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (app(v1, v2) = v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v0, v1))
% 20.14/7.12 | (58) ! [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))))))
% 20.14/7.12 | (59) ! [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)))
% 20.14/7.12 | (60) ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssItem(v2) | ? [v3] : (cons(v2, nil) = v3 & ! [v4] : ( ~ ssList(v4) | ? [v5] : ? [v6] : (app(v5, v3) = v6 & app(v4, v1) = v5 & ! [v7] : (v2 = v0 | ~ ssList(v7) | ? [v8] : ( ~ (v8 = all_0_11_11) & app(v6, v7) = v8))))))))
% 20.14/7.12 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 20.14/7.12 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v0, v2) = v3) | ~ frontsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | frontsegP(v3, v1))
% 20.14/7.12 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ ssItem(v2))
% 20.14/7.12 | (64) ! [v0] : ! [v1] : (v1 = v0 | ~ segmentP(v1, v0) | ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 20.14/7.12 | (65) ! [v0] : ( ~ ssList(v0) | rearsegP(v0, nil))
% 20.14/7.12 | (66) ! [v0] : ! [v1] : ( ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : ? [v3] : ? [v4] : (app(v3, v4) = v0 & app(v2, v1) = v3 & ssList(v4) & ssList(v2)))
% 20.14/7.12 | (67) ! [v0] : ! [v1] : ( ~ (cons(v1, v0) = v0) | ~ ssList(v0) | ~ ssItem(v1))
% 20.14/7.12 | (68) ssList(all_0_2_2)
% 20.14/7.12 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v1, v2) = v3) | ~ memberP(v3, v0) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | memberP(v2, v0))
% 20.14/7.12 | (70) ! [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))))
% 20.14/7.12 | (71) ! [v0] : ( ~ ssList(v0) | segmentP(v0, v0))
% 20.14/7.12 | (72) ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v2))
% 20.14/7.12 | (73) ! [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))))))
% 20.14/7.12 | (74) ! [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))
% 20.14/7.12 | (75) ! [v0] : (v0 = nil | ~ segmentP(nil, v0) | ~ ssList(v0))
% 20.14/7.12 | (76) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | totalorderedP(v1))
% 20.14/7.12 | (77) ! [v0] : ! [v1] : ( ~ (cons(v1, v0) = nil) | ~ ssList(v0) | ~ ssItem(v1))
% 20.14/7.12 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 20.14/7.12 | (79) ! [v0] : ! [v1] : ( ~ frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v1, v2) = v0 & ssList(v2)))
% 20.14/7.12 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 20.14/7.12 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ~ ssList(v2) | ~ ssList(v0) | hd(v3) = v1)
% 20.70/7.12 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, v2) = v3) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ ssItem(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 20.70/7.12 | (83) cyclefreeP(nil)
% 20.70/7.12 | (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)))
% 20.70/7.13 | (85) ! [v0] : ( ~ ssList(v0) | frontsegP(v0, nil))
% 20.70/7.13 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 20.70/7.13 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 20.70/7.13 | (88) ! [v0] : ! [v1] : ( ~ geq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v1, v0))
% 20.70/7.13 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v3, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0) | memberP(v1, v0))
% 20.70/7.13 | (90) ! [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))
% 20.70/7.13 | (91) ! [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)))
% 20.70/7.13 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v1, v2) = v3) | ~ memberP(v1, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, v0))
% 20.70/7.13 | (93) ! [v0] : ( ~ lt(v0, v0) | ~ ssItem(v0))
% 20.70/7.13 | (94) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | strictorderP(v1))
% 20.70/7.13 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ lt(v1, v2) | ~ lt(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v2))
% 20.70/7.13 | (96) ! [v0] : ! [v1] : ( ~ (cons(v1, nil) = v0) | ~ ssList(v0) | ~ ssItem(v1) | singletonP(v0))
% 20.70/7.13 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0))
% 20.70/7.13 | (98) ssItem(all_0_0_0)
% 20.70/7.13 | (99) ! [v0] : ! [v1] : ! [v2] : ( ~ geq(v1, v2) | ~ geq(v0, v1) | ~ ssItem(v2) | ~ ssItem(v1) | ~ ssItem(v0) | geq(v0, v2))
% 20.70/7.13 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ rearsegP(v1, v2) | ~ rearsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v0, v2))
% 20.70/7.13 | (101) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ~ ssItem(v0) | totalorderP(v1))
% 20.70/7.13 | (102) ! [v0] : ! [v1] : (v1 = v0 | ~ frontsegP(v1, v0) | ~ frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0))
% 20.70/7.13 | (103) ! [v0] : ! [v1] : (v1 = v0 | ~ ssList(v1) | ~ ssList(v0) | neq(v0, v1))
% 20.70/7.13 | (104) ! [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))))
% 20.70/7.13 | (105) strictorderP(nil)
% 20.70/7.13 | (106) ! [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)))
% 20.70/7.13 | (107) ! [v0] : ! [v1] : ( ~ memberP(v0, v1) | ~ ssList(v0) | ~ ssItem(v1) | ? [v2] : ? [v3] : ? [v4] : (cons(v1, v3) = v4 & app(v2, v4) = v0 & ssList(v3) & ssList(v2)))
% 20.70/7.13 | (108) ! [v0] : ! [v1] : (v0 = nil | ~ (app(v0, v1) = nil) | ~ ssList(v1) | ~ ssList(v0))
% 20.70/7.13 | (109) ! [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)))
% 20.70/7.13 | (110) ! [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))))))
% 20.70/7.13 | (111) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ~ ssList(v0))
% 20.70/7.13 | (112) ! [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)
% 20.70/7.13 | (113) ! [v0] : ( ~ ssItem(v0) | leq(v0, v0))
% 20.70/7.13 | (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) | ~ totalorderP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | leq(v2, v1) | leq(v1, v2))
% 20.70/7.14 | (115) ! [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))
% 20.70/7.14 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (app(v3, v4) = v0) | ~ (app(v2, v1) = v3) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | segmentP(v0, v1))
% 20.70/7.14 | (117) ! [v0] : ( ~ ssList(v0) | rearsegP(v0, v0))
% 20.70/7.14 | (118) ! [v0] : ! [v1] : ( ~ lt(v1, v0) | ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 20.70/7.14 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ~ ssList(v0))
% 20.70/7.14 | (120) ! [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))
% 20.70/7.14 | (121) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 20.70/7.14 | (122) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ~ ssList(v0) | ssList(v1))
% 20.70/7.14 | (123) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0))
% 20.70/7.14 | (124) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | tl(v2) = v0)
% 20.70/7.14 | (125) ! [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)))
% 20.70/7.14 | (126) ! [v0] : ! [v1] : (v1 = v0 | ~ ssItem(v1) | ~ ssItem(v0) | neq(v0, v1))
% 20.70/7.14 | (127) ! [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))
% 20.70/7.14 | (128) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v1, v0) = v2) | ~ ssList(v0) | ~ ssItem(v1) | ? [v3] : (cons(v1, nil) = v3 & app(v3, v0) = v2))
% 20.70/7.14 | (129) cons(all_0_9_9, nil) = all_0_8_8
% 20.70/7.14 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (app(v2, v0) = v3) | ~ rearsegP(v0, v1) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | rearsegP(v3, v1))
% 20.70/7.14 | (131) ssList(all_0_11_11)
% 20.70/7.14 | (132) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ~ ssList(v0))
% 20.70/7.14 | (133) app(all_0_3_3, all_0_2_2) = all_0_11_11
% 20.70/7.14 | (134) ! [v0] : ! [v1] : (v1 = v0 | ~ geq(v1, v0) | ~ geq(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0))
% 20.70/7.14 | (135) ssList(all_0_5_5)
% 20.70/7.14 | (136) ssItem(all_0_1_1)
% 20.70/7.14 | (137) frontsegP(nil, nil)
% 20.70/7.14 | (138) ~ singletonP(nil)
% 20.70/7.14 | (139) ! [v0] : ! [v1] : ( ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v1))
% 20.70/7.14 | (140) cons(all_0_7_7, nil) = all_0_6_6
% 20.70/7.14 | (141) ! [v0] : ! [v1] : (v1 = nil | ~ (app(v0, v1) = nil) | ~ ssList(v1) | ~ ssList(v0))
% 20.70/7.14 | (142) ssList(all_0_10_10)
% 20.70/7.14 | (143) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ~ ssList(v0) | ssItem(v1))
% 20.70/7.14 | (144) ! [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))
% 20.70/7.14 | (145) ! [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))
% 20.70/7.14 | (146) segmentP(nil, nil)
% 20.70/7.14 | (147) ! [v0] : ! [v1] : ( ~ rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2] : (app(v2, v1) = v0 & ssList(v2)))
% 20.70/7.14 | (148) totalorderedP(nil)
% 20.70/7.14 |
% 20.70/7.14 | Instantiating formula (60) with all_0_0_0 and discharging atoms ssItem(all_0_0_0), yields:
% 20.70/7.14 | (149) ? [v0] : (cons(all_0_0_0, nil) = v0 & ! [v1] : ( ~ ssItem(v1) | ? [v2] : (cons(v1, nil) = v2 & ! [v3] : ( ~ ssList(v3) | ? [v4] : ? [v5] : (app(v4, v2) = v5 & app(v3, v0) = v4 & ! [v6] : (v1 = all_0_0_0 | ~ ssList(v6) | ? [v7] : ( ~ (v7 = all_0_11_11) & app(v5, v6) = v7)))))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (60) with all_0_1_1 and discharging atoms ssItem(all_0_1_1), yields:
% 20.70/7.15 | (150) ? [v0] : (cons(all_0_1_1, nil) = v0 & ! [v1] : ( ~ ssItem(v1) | ? [v2] : (cons(v1, nil) = v2 & ! [v3] : ( ~ ssList(v3) | ? [v4] : ? [v5] : (app(v4, v2) = v5 & app(v3, v0) = v4 & ! [v6] : (v1 = all_0_1_1 | ~ ssList(v6) | ? [v7] : ( ~ (v7 = all_0_11_11) & app(v5, v6) = v7)))))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (128) with all_0_6_6, all_0_7_7, nil and discharging atoms cons(all_0_7_7, nil) = all_0_6_6, ssList(nil), ssItem(all_0_7_7), yields:
% 20.70/7.15 | (151) ? [v0] : (cons(all_0_7_7, nil) = v0 & app(v0, nil) = all_0_6_6)
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (60) with all_0_7_7 and discharging atoms ssItem(all_0_7_7), yields:
% 20.70/7.15 | (152) ? [v0] : (cons(all_0_7_7, nil) = v0 & ! [v1] : ( ~ ssItem(v1) | ? [v2] : (cons(v1, nil) = v2 & ! [v3] : ( ~ ssList(v3) | ? [v4] : ? [v5] : (app(v4, v2) = v5 & app(v3, v0) = v4 & ! [v6] : (v1 = all_0_7_7 | ~ ssList(v6) | ? [v7] : ( ~ (v7 = all_0_11_11) & app(v5, v6) = v7)))))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (128) with all_0_8_8, all_0_9_9, nil and discharging atoms cons(all_0_9_9, nil) = all_0_8_8, ssList(nil), ssItem(all_0_9_9), yields:
% 20.70/7.15 | (153) ? [v0] : (cons(all_0_9_9, nil) = v0 & app(v0, nil) = all_0_8_8)
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (60) with all_0_9_9 and discharging atoms ssItem(all_0_9_9), yields:
% 20.70/7.15 | (154) ? [v0] : (cons(all_0_9_9, nil) = v0 & ! [v1] : ( ~ ssItem(v1) | ? [v2] : (cons(v1, nil) = v2 & ! [v3] : ( ~ ssList(v3) | ? [v4] : ? [v5] : (app(v4, v2) = v5 & app(v3, v0) = v4 & ! [v6] : (v1 = all_0_9_9 | ~ ssList(v6) | ? [v7] : ( ~ (v7 = all_0_11_11) & app(v5, v6) = v7)))))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating (152) with all_9_0_12 yields:
% 20.70/7.15 | (155) cons(all_0_7_7, nil) = all_9_0_12 & ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssList(v2) | ? [v3] : ? [v4] : (app(v3, v1) = v4 & app(v2, all_9_0_12) = v3 & ! [v5] : (v0 = all_0_7_7 | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_11_11) & app(v4, v5) = v6))))))
% 20.70/7.15 |
% 20.70/7.15 | Applying alpha-rule on (155) yields:
% 20.70/7.15 | (156) cons(all_0_7_7, nil) = all_9_0_12
% 20.70/7.15 | (157) ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssList(v2) | ? [v3] : ? [v4] : (app(v3, v1) = v4 & app(v2, all_9_0_12) = v3 & ! [v5] : (v0 = all_0_7_7 | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_11_11) & app(v4, v5) = v6))))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (157) with all_0_7_7 and discharging atoms ssItem(all_0_7_7), yields:
% 20.70/7.15 | (158) ? [v0] : (cons(all_0_7_7, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_9_0_12) = v2)))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (157) with all_0_9_9 and discharging atoms ssItem(all_0_9_9), yields:
% 20.70/7.15 | (159) ? [v0] : (cons(all_0_9_9, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_9_0_12) = v2 & ! [v4] : (all_0_7_7 = all_0_9_9 | ~ ssList(v4) | ? [v5] : ( ~ (v5 = all_0_11_11) & app(v3, v4) = v5)))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating (150) with all_12_0_13 yields:
% 20.70/7.15 | (160) cons(all_0_1_1, nil) = all_12_0_13 & ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssList(v2) | ? [v3] : ? [v4] : (app(v3, v1) = v4 & app(v2, all_12_0_13) = v3 & ! [v5] : (v0 = all_0_1_1 | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_11_11) & app(v4, v5) = v6))))))
% 20.70/7.15 |
% 20.70/7.15 | Applying alpha-rule on (160) yields:
% 20.70/7.15 | (161) cons(all_0_1_1, nil) = all_12_0_13
% 20.70/7.15 | (162) ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssList(v2) | ? [v3] : ? [v4] : (app(v3, v1) = v4 & app(v2, all_12_0_13) = v3 & ! [v5] : (v0 = all_0_1_1 | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_11_11) & app(v4, v5) = v6))))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (162) with all_0_7_7 and discharging atoms ssItem(all_0_7_7), yields:
% 20.70/7.15 | (163) ? [v0] : (cons(all_0_7_7, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_12_0_13) = v2 & ! [v4] : (all_0_1_1 = all_0_7_7 | ~ ssList(v4) | ? [v5] : ( ~ (v5 = all_0_11_11) & app(v3, v4) = v5)))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (162) with all_0_9_9 and discharging atoms ssItem(all_0_9_9), yields:
% 20.70/7.15 | (164) ? [v0] : (cons(all_0_9_9, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_12_0_13) = v2 & ! [v4] : (all_0_1_1 = all_0_9_9 | ~ ssList(v4) | ? [v5] : ( ~ (v5 = all_0_11_11) & app(v3, v4) = v5)))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating (149) with all_15_0_14 yields:
% 20.70/7.15 | (165) cons(all_0_0_0, nil) = all_15_0_14 & ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssList(v2) | ? [v3] : ? [v4] : (app(v3, v1) = v4 & app(v2, all_15_0_14) = v3 & ! [v5] : (v0 = all_0_0_0 | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_11_11) & app(v4, v5) = v6))))))
% 20.70/7.15 |
% 20.70/7.15 | Applying alpha-rule on (165) yields:
% 20.70/7.15 | (166) cons(all_0_0_0, nil) = all_15_0_14
% 20.70/7.15 | (167) ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssList(v2) | ? [v3] : ? [v4] : (app(v3, v1) = v4 & app(v2, all_15_0_14) = v3 & ! [v5] : (v0 = all_0_0_0 | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_11_11) & app(v4, v5) = v6))))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (167) with all_0_7_7 and discharging atoms ssItem(all_0_7_7), yields:
% 20.70/7.15 | (168) ? [v0] : (cons(all_0_7_7, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_15_0_14) = v2 & ! [v4] : (all_0_0_0 = all_0_7_7 | ~ ssList(v4) | ? [v5] : ( ~ (v5 = all_0_11_11) & app(v3, v4) = v5)))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating formula (167) with all_0_9_9 and discharging atoms ssItem(all_0_9_9), yields:
% 20.70/7.15 | (169) ? [v0] : (cons(all_0_9_9, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_15_0_14) = v2 & ! [v4] : (all_0_0_0 = all_0_9_9 | ~ ssList(v4) | ? [v5] : ( ~ (v5 = all_0_11_11) & app(v3, v4) = v5)))))
% 20.70/7.15 |
% 20.70/7.15 | Instantiating (154) with all_18_0_15 yields:
% 20.70/7.15 | (170) cons(all_0_9_9, nil) = all_18_0_15 & ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssList(v2) | ? [v3] : ? [v4] : (app(v3, v1) = v4 & app(v2, all_18_0_15) = v3 & ! [v5] : (v0 = all_0_9_9 | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_11_11) & app(v4, v5) = v6))))))
% 20.70/7.15 |
% 20.70/7.15 | Applying alpha-rule on (170) yields:
% 20.70/7.15 | (171) cons(all_0_9_9, nil) = all_18_0_15
% 20.70/7.15 | (172) ! [v0] : ( ~ ssItem(v0) | ? [v1] : (cons(v0, nil) = v1 & ! [v2] : ( ~ ssList(v2) | ? [v3] : ? [v4] : (app(v3, v1) = v4 & app(v2, all_18_0_15) = v3 & ! [v5] : (v0 = all_0_9_9 | ~ ssList(v5) | ? [v6] : ( ~ (v6 = all_0_11_11) & app(v4, v5) = v6))))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (172) with all_0_0_0 and discharging atoms ssItem(all_0_0_0), yields:
% 20.70/7.16 | (173) ? [v0] : (cons(all_0_0_0, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_18_0_15) = v2 & ! [v4] : (all_0_0_0 = all_0_9_9 | ~ ssList(v4) | ? [v5] : ( ~ (v5 = all_0_11_11) & app(v3, v4) = v5)))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (172) with all_0_1_1 and discharging atoms ssItem(all_0_1_1), yields:
% 20.70/7.16 | (174) ? [v0] : (cons(all_0_1_1, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_18_0_15) = v2 & ! [v4] : (all_0_1_1 = all_0_9_9 | ~ ssList(v4) | ? [v5] : ( ~ (v5 = all_0_11_11) & app(v3, v4) = v5)))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (172) with all_0_7_7 and discharging atoms ssItem(all_0_7_7), yields:
% 20.70/7.16 | (175) ? [v0] : (cons(all_0_7_7, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_18_0_15) = v2 & ! [v4] : (all_0_7_7 = all_0_9_9 | ~ ssList(v4) | ? [v5] : ( ~ (v5 = all_0_11_11) & app(v3, v4) = v5)))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (172) with all_0_9_9 and discharging atoms ssItem(all_0_9_9), yields:
% 20.70/7.16 | (176) ? [v0] : (cons(all_0_9_9, nil) = v0 & ! [v1] : ( ~ ssList(v1) | ? [v2] : ? [v3] : (app(v2, v0) = v3 & app(v1, all_18_0_15) = v2)))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (151) with all_31_0_21 yields:
% 20.70/7.16 | (177) cons(all_0_7_7, nil) = all_31_0_21 & app(all_31_0_21, nil) = all_0_6_6
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (177) yields:
% 20.70/7.16 | (178) cons(all_0_7_7, nil) = all_31_0_21
% 20.70/7.16 | (179) app(all_31_0_21, nil) = all_0_6_6
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (153) with all_33_0_22 yields:
% 20.70/7.16 | (180) cons(all_0_9_9, nil) = all_33_0_22 & app(all_33_0_22, nil) = all_0_8_8
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (180) yields:
% 20.70/7.16 | (181) cons(all_0_9_9, nil) = all_33_0_22
% 20.70/7.16 | (182) app(all_33_0_22, nil) = all_0_8_8
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (159) with all_39_0_27 yields:
% 20.70/7.16 | (183) cons(all_0_9_9, nil) = all_39_0_27 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_39_0_27) = v2 & app(v0, all_9_0_12) = v1 & ! [v3] : (all_0_7_7 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (183) yields:
% 20.70/7.16 | (184) cons(all_0_9_9, nil) = all_39_0_27
% 20.70/7.16 | (185) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_39_0_27) = v2 & app(v0, all_9_0_12) = v1 & ! [v3] : (all_0_7_7 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (185) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.16 | (186) ? [v0] : ? [v1] : (app(v0, all_39_0_27) = v1 & app(all_0_2_2, all_9_0_12) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (185) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.16 | (187) ? [v0] : ? [v1] : (app(v0, all_39_0_27) = v1 & app(all_0_5_5, all_9_0_12) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (185) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.16 | (188) ? [v0] : ? [v1] : (app(v0, all_39_0_27) = v1 & app(all_0_10_10, all_9_0_12) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (185) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.16 | (189) ? [v0] : ? [v1] : (app(v0, all_39_0_27) = v1 & app(all_0_11_11, all_9_0_12) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating formula (185) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.16 | (190) ? [v0] : ? [v1] : (app(v0, all_39_0_27) = v1 & app(nil, all_9_0_12) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (158) with all_48_0_30 yields:
% 20.70/7.16 | (191) cons(all_0_7_7, nil) = all_48_0_30 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_48_0_30) = v2 & app(v0, all_9_0_12) = v1))
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (191) yields:
% 20.70/7.16 | (192) cons(all_0_7_7, nil) = all_48_0_30
% 20.70/7.16 | (193) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_48_0_30) = v2 & app(v0, all_9_0_12) = v1))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (164) with all_51_0_31 yields:
% 20.70/7.16 | (194) cons(all_0_9_9, nil) = all_51_0_31 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_51_0_31) = v2 & app(v0, all_12_0_13) = v1 & ! [v3] : (all_0_1_1 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (194) yields:
% 20.70/7.16 | (195) cons(all_0_9_9, nil) = all_51_0_31
% 20.70/7.16 | (196) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_51_0_31) = v2 & app(v0, all_12_0_13) = v1 & ! [v3] : (all_0_1_1 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (163) with all_60_0_34 yields:
% 20.70/7.16 | (197) cons(all_0_7_7, nil) = all_60_0_34 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_60_0_34) = v2 & app(v0, all_12_0_13) = v1 & ! [v3] : (all_0_1_1 = all_0_7_7 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (197) yields:
% 20.70/7.16 | (198) cons(all_0_7_7, nil) = all_60_0_34
% 20.70/7.16 | (199) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_60_0_34) = v2 & app(v0, all_12_0_13) = v1 & ! [v3] : (all_0_1_1 = all_0_7_7 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (169) with all_63_0_35 yields:
% 20.70/7.16 | (200) cons(all_0_9_9, nil) = all_63_0_35 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_63_0_35) = v2 & app(v0, all_15_0_14) = v1 & ! [v3] : (all_0_0_0 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (200) yields:
% 20.70/7.16 | (201) cons(all_0_9_9, nil) = all_63_0_35
% 20.70/7.16 | (202) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_63_0_35) = v2 & app(v0, all_15_0_14) = v1 & ! [v3] : (all_0_0_0 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (168) with all_66_0_36 yields:
% 20.70/7.16 | (203) cons(all_0_7_7, nil) = all_66_0_36 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_66_0_36) = v2 & app(v0, all_15_0_14) = v1 & ! [v3] : (all_0_0_0 = all_0_7_7 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (203) yields:
% 20.70/7.16 | (204) cons(all_0_7_7, nil) = all_66_0_36
% 20.70/7.16 | (205) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_66_0_36) = v2 & app(v0, all_15_0_14) = v1 & ! [v3] : (all_0_0_0 = all_0_7_7 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.16 |
% 20.70/7.16 | Instantiating (176) with all_75_0_39 yields:
% 20.70/7.16 | (206) cons(all_0_9_9, nil) = all_75_0_39 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_75_0_39) = v2 & app(v0, all_18_0_15) = v1))
% 20.70/7.16 |
% 20.70/7.16 | Applying alpha-rule on (206) yields:
% 20.70/7.16 | (207) cons(all_0_9_9, nil) = all_75_0_39
% 20.70/7.16 | (208) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_75_0_39) = v2 & app(v0, all_18_0_15) = v1))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (208) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.17 | (209) ? [v0] : ? [v1] : (app(v0, all_75_0_39) = v1 & app(all_0_5_5, all_18_0_15) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating (174) with all_78_0_40 yields:
% 20.70/7.17 | (210) cons(all_0_1_1, nil) = all_78_0_40 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_78_0_40) = v2 & app(v0, all_18_0_15) = v1 & ! [v3] : (all_0_1_1 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.17 |
% 20.70/7.17 | Applying alpha-rule on (210) yields:
% 20.70/7.17 | (211) cons(all_0_1_1, nil) = all_78_0_40
% 20.70/7.17 | (212) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_78_0_40) = v2 & app(v0, all_18_0_15) = v1 & ! [v3] : (all_0_1_1 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (212) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.17 | (213) ? [v0] : ? [v1] : (app(v0, all_78_0_40) = v1 & app(all_0_5_5, all_18_0_15) = v0 & ! [v2] : (all_0_1_1 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating (173) with all_81_0_41 yields:
% 20.70/7.17 | (214) cons(all_0_0_0, nil) = all_81_0_41 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_81_0_41) = v2 & app(v0, all_18_0_15) = v1 & ! [v3] : (all_0_0_0 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.17 |
% 20.70/7.17 | Applying alpha-rule on (214) yields:
% 20.70/7.17 | (215) cons(all_0_0_0, nil) = all_81_0_41
% 20.70/7.17 | (216) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_81_0_41) = v2 & app(v0, all_18_0_15) = v1 & ! [v3] : (all_0_0_0 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (216) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.17 | (217) ? [v0] : ? [v1] : (app(v0, all_81_0_41) = v1 & app(all_0_5_5, all_18_0_15) = v0 & ! [v2] : (all_0_0_0 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating (175) with all_84_0_42 yields:
% 20.70/7.17 | (218) cons(all_0_7_7, nil) = all_84_0_42 & ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_84_0_42) = v2 & app(v0, all_18_0_15) = v1 & ! [v3] : (all_0_7_7 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.17 |
% 20.70/7.17 | Applying alpha-rule on (218) yields:
% 20.70/7.17 | (219) cons(all_0_7_7, nil) = all_84_0_42
% 20.70/7.17 | (220) ! [v0] : ( ~ ssList(v0) | ? [v1] : ? [v2] : (app(v1, all_84_0_42) = v2 & app(v0, all_18_0_15) = v1 & ! [v3] : (all_0_7_7 = all_0_9_9 | ~ ssList(v3) | ? [v4] : ( ~ (v4 = all_0_11_11) & app(v2, v3) = v4))))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (220) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.17 | (221) ? [v0] : ? [v1] : (app(v0, all_84_0_42) = v1 & app(all_0_2_2, all_18_0_15) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (220) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.17 | (222) ? [v0] : ? [v1] : (app(v0, all_84_0_42) = v1 & app(all_0_5_5, all_18_0_15) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (220) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.17 | (223) ? [v0] : ? [v1] : (app(v0, all_84_0_42) = v1 & app(all_0_10_10, all_18_0_15) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (220) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.17 | (224) ? [v0] : ? [v1] : (app(v0, all_84_0_42) = v1 & app(all_0_11_11, all_18_0_15) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (220) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.17 | (225) ? [v0] : ? [v1] : (app(v0, all_84_0_42) = v1 & app(nil, all_18_0_15) = v0 & ! [v2] : (all_0_7_7 = all_0_9_9 | ~ ssList(v2) | ? [v3] : ( ~ (v3 = all_0_11_11) & app(v1, v2) = v3)))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating (190) with all_87_0_43, all_87_1_44 yields:
% 20.70/7.17 | (226) app(all_87_1_44, all_39_0_27) = all_87_0_43 & app(nil, all_9_0_12) = all_87_1_44 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_87_0_43, v0) = v1))
% 20.70/7.17 |
% 20.70/7.17 | Applying alpha-rule on (226) yields:
% 20.70/7.17 | (227) app(all_87_1_44, all_39_0_27) = all_87_0_43
% 20.70/7.17 | (228) app(nil, all_9_0_12) = all_87_1_44
% 20.70/7.17 | (229) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_87_0_43, v0) = v1))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (229) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.17 | (230) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, all_0_2_2) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (229) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.17 | (231) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, all_0_5_5) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (229) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.17 | (232) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, all_0_10_10) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (229) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.17 | (233) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, all_0_11_11) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (229) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.17 | (234) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, nil) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating (189) with all_90_0_45, all_90_1_46 yields:
% 20.70/7.17 | (235) app(all_90_1_46, all_39_0_27) = all_90_0_45 & app(all_0_11_11, all_9_0_12) = all_90_1_46 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_90_0_45, v0) = v1))
% 20.70/7.17 |
% 20.70/7.17 | Applying alpha-rule on (235) yields:
% 20.70/7.17 | (236) app(all_90_1_46, all_39_0_27) = all_90_0_45
% 20.70/7.17 | (237) app(all_0_11_11, all_9_0_12) = all_90_1_46
% 20.70/7.17 | (238) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_90_0_45, v0) = v1))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (238) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.17 | (239) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, all_0_2_2) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (238) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.17 | (240) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, all_0_5_5) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (238) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.17 | (241) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, all_0_10_10) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (238) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.17 | (242) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, all_0_11_11) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (238) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.17 | (243) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, nil) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating (188) with all_93_0_47, all_93_1_48 yields:
% 20.70/7.17 | (244) app(all_93_1_48, all_39_0_27) = all_93_0_47 & app(all_0_10_10, all_9_0_12) = all_93_1_48 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_93_0_47, v0) = v1))
% 20.70/7.17 |
% 20.70/7.17 | Applying alpha-rule on (244) yields:
% 20.70/7.17 | (245) app(all_93_1_48, all_39_0_27) = all_93_0_47
% 20.70/7.17 | (246) app(all_0_10_10, all_9_0_12) = all_93_1_48
% 20.70/7.17 | (247) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_93_0_47, v0) = v1))
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (247) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.17 | (248) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, all_0_2_2) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (247) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.17 | (249) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, all_0_5_5) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (247) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.17 | (250) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, all_0_10_10) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (247) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.17 | (251) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, all_0_11_11) = v0)
% 20.70/7.17 |
% 20.70/7.17 | Instantiating formula (247) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.17 | (252) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, nil) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (187) with all_96_0_49, all_96_1_50 yields:
% 20.70/7.18 | (253) app(all_96_1_50, all_39_0_27) = all_96_0_49 & app(all_0_5_5, all_9_0_12) = all_96_1_50 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_96_0_49, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Applying alpha-rule on (253) yields:
% 20.70/7.18 | (254) app(all_96_1_50, all_39_0_27) = all_96_0_49
% 20.70/7.18 | (255) app(all_0_5_5, all_9_0_12) = all_96_1_50
% 20.70/7.18 | (256) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_96_0_49, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (256) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.18 | (257) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, all_0_2_2) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (256) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.18 | (258) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, all_0_5_5) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (256) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.18 | (259) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, all_0_10_10) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (256) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.18 | (260) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, all_0_11_11) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (256) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.18 | (261) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, nil) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (186) with all_99_0_51, all_99_1_52 yields:
% 20.70/7.18 | (262) app(all_99_1_52, all_39_0_27) = all_99_0_51 & app(all_0_2_2, all_9_0_12) = all_99_1_52 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_99_0_51, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Applying alpha-rule on (262) yields:
% 20.70/7.18 | (263) app(all_99_1_52, all_39_0_27) = all_99_0_51
% 20.70/7.18 | (264) app(all_0_2_2, all_9_0_12) = all_99_1_52
% 20.70/7.18 | (265) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_99_0_51, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (265) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.18 | (266) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, all_0_2_2) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (265) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.18 | (267) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, all_0_5_5) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (265) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.18 | (268) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, all_0_10_10) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (265) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.18 | (269) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, all_0_11_11) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (265) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.18 | (270) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, nil) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (209) with all_258_0_169, all_258_1_170 yields:
% 20.70/7.18 | (271) app(all_258_1_170, all_75_0_39) = all_258_0_169 & app(all_0_5_5, all_18_0_15) = all_258_1_170
% 20.70/7.18 |
% 20.70/7.18 | Applying alpha-rule on (271) yields:
% 20.70/7.18 | (272) app(all_258_1_170, all_75_0_39) = all_258_0_169
% 20.70/7.18 | (273) app(all_0_5_5, all_18_0_15) = all_258_1_170
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (213) with all_271_0_179, all_271_1_180 yields:
% 20.70/7.18 | (274) app(all_271_1_180, all_78_0_40) = all_271_0_179 & app(all_0_5_5, all_18_0_15) = all_271_1_180 & ! [v0] : (all_0_1_1 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_271_0_179, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Applying alpha-rule on (274) yields:
% 20.70/7.18 | (275) app(all_271_1_180, all_78_0_40) = all_271_0_179
% 20.70/7.18 | (276) app(all_0_5_5, all_18_0_15) = all_271_1_180
% 20.70/7.18 | (277) ! [v0] : (all_0_1_1 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_271_0_179, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (217) with all_283_0_187, all_283_1_188 yields:
% 20.70/7.18 | (278) app(all_283_1_188, all_81_0_41) = all_283_0_187 & app(all_0_5_5, all_18_0_15) = all_283_1_188 & ! [v0] : (all_0_0_0 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_283_0_187, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Applying alpha-rule on (278) yields:
% 20.70/7.18 | (279) app(all_283_1_188, all_81_0_41) = all_283_0_187
% 20.70/7.18 | (280) app(all_0_5_5, all_18_0_15) = all_283_1_188
% 20.70/7.18 | (281) ! [v0] : (all_0_0_0 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_283_0_187, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (225) with all_292_0_193, all_292_1_194 yields:
% 20.70/7.18 | (282) app(all_292_1_194, all_84_0_42) = all_292_0_193 & app(nil, all_18_0_15) = all_292_1_194 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_292_0_193, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Applying alpha-rule on (282) yields:
% 20.70/7.18 | (283) app(all_292_1_194, all_84_0_42) = all_292_0_193
% 20.70/7.18 | (284) app(nil, all_18_0_15) = all_292_1_194
% 20.70/7.18 | (285) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_292_0_193, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (285) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.18 | (286) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, all_0_2_2) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (285) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.18 | (287) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, all_0_5_5) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (285) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.18 | (288) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, all_0_10_10) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (285) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.18 | (289) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, all_0_11_11) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (285) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.18 | (290) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, nil) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (224) with all_295_0_195, all_295_1_196 yields:
% 20.70/7.18 | (291) app(all_295_1_196, all_84_0_42) = all_295_0_195 & app(all_0_11_11, all_18_0_15) = all_295_1_196 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_295_0_195, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Applying alpha-rule on (291) yields:
% 20.70/7.18 | (292) app(all_295_1_196, all_84_0_42) = all_295_0_195
% 20.70/7.18 | (293) app(all_0_11_11, all_18_0_15) = all_295_1_196
% 20.70/7.18 | (294) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_295_0_195, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (294) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.18 | (295) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, all_0_2_2) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (294) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.18 | (296) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, all_0_5_5) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (294) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.18 | (297) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, all_0_10_10) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (294) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.18 | (298) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, all_0_11_11) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (294) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.18 | (299) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, nil) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (223) with all_298_0_197, all_298_1_198 yields:
% 20.70/7.18 | (300) app(all_298_1_198, all_84_0_42) = all_298_0_197 & app(all_0_10_10, all_18_0_15) = all_298_1_198 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_298_0_197, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Applying alpha-rule on (300) yields:
% 20.70/7.18 | (301) app(all_298_1_198, all_84_0_42) = all_298_0_197
% 20.70/7.18 | (302) app(all_0_10_10, all_18_0_15) = all_298_1_198
% 20.70/7.18 | (303) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_298_0_197, v0) = v1))
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (303) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.18 | (304) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, all_0_2_2) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (303) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.18 | (305) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, all_0_5_5) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (303) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.18 | (306) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, all_0_10_10) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (303) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.18 | (307) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, all_0_11_11) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating formula (303) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.18 | (308) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, nil) = v0)
% 20.70/7.18 |
% 20.70/7.18 | Instantiating (222) with all_301_0_199, all_301_1_200 yields:
% 20.70/7.18 | (309) app(all_301_1_200, all_84_0_42) = all_301_0_199 & app(all_0_5_5, all_18_0_15) = all_301_1_200 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_301_0_199, v0) = v1))
% 20.70/7.18 |
% 20.70/7.19 | Applying alpha-rule on (309) yields:
% 20.70/7.19 | (310) app(all_301_1_200, all_84_0_42) = all_301_0_199
% 20.70/7.19 | (311) app(all_0_5_5, all_18_0_15) = all_301_1_200
% 20.70/7.19 | (312) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_301_0_199, v0) = v1))
% 20.70/7.19 |
% 20.70/7.19 | Instantiating formula (312) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.19 | (313) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_301_0_199, all_0_2_2) = v0)
% 20.70/7.19 |
% 20.70/7.19 | Instantiating formula (312) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.19 | (314) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_301_0_199, nil) = v0)
% 20.70/7.19 |
% 20.70/7.19 | Instantiating (221) with all_304_0_201, all_304_1_202 yields:
% 20.70/7.19 | (315) app(all_304_1_202, all_84_0_42) = all_304_0_201 & app(all_0_2_2, all_18_0_15) = all_304_1_202 & ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_304_0_201, v0) = v1))
% 20.70/7.19 |
% 20.70/7.19 | Applying alpha-rule on (315) yields:
% 20.70/7.19 | (316) app(all_304_1_202, all_84_0_42) = all_304_0_201
% 20.70/7.19 | (317) app(all_0_2_2, all_18_0_15) = all_304_1_202
% 20.70/7.19 | (318) ! [v0] : (all_0_7_7 = all_0_9_9 | ~ ssList(v0) | ? [v1] : ( ~ (v1 = all_0_11_11) & app(all_304_0_201, v0) = v1))
% 20.70/7.19 |
% 20.70/7.19 | Instantiating formula (318) with all_0_2_2 and discharging atoms ssList(all_0_2_2), yields:
% 20.70/7.19 | (319) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, all_0_2_2) = v0)
% 20.70/7.19 |
% 20.70/7.19 | Instantiating formula (318) with all_0_5_5 and discharging atoms ssList(all_0_5_5), yields:
% 20.70/7.19 | (320) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, all_0_5_5) = v0)
% 20.70/7.19 |
% 20.70/7.19 | Instantiating formula (318) with all_0_10_10 and discharging atoms ssList(all_0_10_10), yields:
% 20.70/7.19 | (321) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, all_0_10_10) = v0)
% 20.70/7.19 |
% 20.70/7.19 | Instantiating formula (318) with all_0_11_11 and discharging atoms ssList(all_0_11_11), yields:
% 20.70/7.19 | (322) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, all_0_11_11) = v0)
% 20.70/7.19 |
% 20.70/7.19 | Instantiating formula (318) with nil and discharging atoms ssList(nil), yields:
% 20.70/7.19 | (323) all_0_7_7 = all_0_9_9 | ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, nil) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (234), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (327) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, nil) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (243), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (331) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, nil) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (232), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (335) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, all_0_10_10) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (230), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (339) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, all_0_2_2) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (231), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (343) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, all_0_5_5) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (233), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (347) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_87_0_43, all_0_11_11) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (252), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (351) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, nil) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (239), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (355) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, all_0_2_2) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (240), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (359) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, all_0_5_5) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (241), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (363) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, all_0_10_10) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (242), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (367) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_90_0_45, all_0_11_11) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (248), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (371) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, all_0_2_2) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (249), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (375) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, all_0_5_5) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (250), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (379) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, all_0_10_10) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (251), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (383) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_93_0_47, all_0_11_11) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (323), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (387) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, nil) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (321), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (391) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, all_0_10_10) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (319), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.19 | (395) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, all_0_2_2) = v0)
% 20.70/7.19 |
% 20.70/7.19 +-Applying beta-rule and splitting (322), into two cases.
% 20.70/7.19 |-Branch one:
% 20.70/7.19 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.19 |
% 20.70/7.19 | Equations (324) can reduce 50 to:
% 20.70/7.19 | (325) $false
% 20.70/7.19 |
% 20.70/7.19 |-The branch is then unsatisfiable
% 20.70/7.19 |-Branch two:
% 20.70/7.19 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (399) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, all_0_11_11) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (320), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (403) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_304_0_201, all_0_5_5) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (261), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (407) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, nil) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (270), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (411) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, nil) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (257), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (415) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, all_0_2_2) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (258), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (419) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, all_0_5_5) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (259), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (423) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, all_0_10_10) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (260), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (427) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_96_0_49, all_0_11_11) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (266), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (431) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, all_0_2_2) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (267), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (435) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, all_0_5_5) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (268), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (439) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, all_0_10_10) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (269), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (443) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_99_0_51, all_0_11_11) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (290), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (447) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, nil) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (299), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (451) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, nil) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (286), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (455) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, all_0_2_2) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (287), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (459) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, all_0_5_5) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (288), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (463) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, all_0_10_10) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (289), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (467) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_292_0_193, all_0_11_11) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (308), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (471) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, nil) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (314), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (475) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_301_0_199, nil) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (295), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (479) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, all_0_2_2) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (296), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (483) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, all_0_5_5) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (297), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (487) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, all_0_10_10) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (298), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (491) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_295_0_195, all_0_11_11) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (304), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (495) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, all_0_2_2) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (305), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (499) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, all_0_5_5) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (306), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (503) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, all_0_10_10) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (307), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (507) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_298_0_197, all_0_11_11) = v0)
% 20.70/7.20 |
% 20.70/7.20 +-Applying beta-rule and splitting (313), into two cases.
% 20.70/7.20 |-Branch one:
% 20.70/7.20 | (324) all_0_7_7 = all_0_9_9
% 20.70/7.20 |
% 20.70/7.20 | Equations (324) can reduce 50 to:
% 20.70/7.20 | (325) $false
% 20.70/7.20 |
% 20.70/7.20 |-The branch is then unsatisfiable
% 20.70/7.20 |-Branch two:
% 20.70/7.20 | (50) ~ (all_0_7_7 = all_0_9_9)
% 20.70/7.20 | (511) ? [v0] : ( ~ (v0 = all_0_11_11) & app(all_301_0_199, all_0_2_2) = v0)
% 20.70/7.20 |
% 20.70/7.20 | Instantiating (511) with all_807_0_299 yields:
% 20.70/7.20 | (512) ~ (all_807_0_299 = all_0_11_11) & app(all_301_0_199, all_0_2_2) = all_807_0_299
% 20.70/7.20 |
% 20.70/7.20 | Applying alpha-rule on (512) yields:
% 20.70/7.20 | (513) ~ (all_807_0_299 = all_0_11_11)
% 20.70/7.21 | (514) app(all_301_0_199, all_0_2_2) = all_807_0_299
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_7_7, nil, all_66_0_36, all_84_0_42 and discharging atoms cons(all_0_7_7, nil) = all_84_0_42, cons(all_0_7_7, nil) = all_66_0_36, yields:
% 20.70/7.21 | (515) all_84_0_42 = all_66_0_36
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_7_7, nil, all_60_0_34, all_66_0_36 and discharging atoms cons(all_0_7_7, nil) = all_66_0_36, cons(all_0_7_7, nil) = all_60_0_34, yields:
% 20.70/7.21 | (516) all_66_0_36 = all_60_0_34
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_7_7, nil, all_48_0_30, all_60_0_34 and discharging atoms cons(all_0_7_7, nil) = all_60_0_34, cons(all_0_7_7, nil) = all_48_0_30, yields:
% 20.70/7.21 | (517) all_60_0_34 = all_48_0_30
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_7_7, nil, all_31_0_21, all_0_6_6 and discharging atoms cons(all_0_7_7, nil) = all_31_0_21, cons(all_0_7_7, nil) = all_0_6_6, yields:
% 20.70/7.21 | (518) all_31_0_21 = all_0_6_6
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_7_7, nil, all_31_0_21, all_48_0_30 and discharging atoms cons(all_0_7_7, nil) = all_48_0_30, cons(all_0_7_7, nil) = all_31_0_21, yields:
% 20.70/7.21 | (519) all_48_0_30 = all_31_0_21
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_7_7, nil, all_9_0_12, all_84_0_42 and discharging atoms cons(all_0_7_7, nil) = all_84_0_42, cons(all_0_7_7, nil) = all_9_0_12, yields:
% 20.70/7.21 | (520) all_84_0_42 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_9_9, nil, all_75_0_39, all_0_8_8 and discharging atoms cons(all_0_9_9, nil) = all_75_0_39, cons(all_0_9_9, nil) = all_0_8_8, yields:
% 20.70/7.21 | (521) all_75_0_39 = all_0_8_8
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_9_9, nil, all_51_0_31, all_63_0_35 and discharging atoms cons(all_0_9_9, nil) = all_63_0_35, cons(all_0_9_9, nil) = all_51_0_31, yields:
% 20.70/7.21 | (522) all_63_0_35 = all_51_0_31
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_9_9, nil, all_39_0_27, all_75_0_39 and discharging atoms cons(all_0_9_9, nil) = all_75_0_39, cons(all_0_9_9, nil) = all_39_0_27, yields:
% 20.70/7.21 | (523) all_75_0_39 = all_39_0_27
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_9_9, nil, all_33_0_22, all_75_0_39 and discharging atoms cons(all_0_9_9, nil) = all_75_0_39, cons(all_0_9_9, nil) = all_33_0_22, yields:
% 20.70/7.21 | (524) all_75_0_39 = all_33_0_22
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_9_9, nil, all_33_0_22, all_51_0_31 and discharging atoms cons(all_0_9_9, nil) = all_51_0_31, cons(all_0_9_9, nil) = all_33_0_22, yields:
% 20.70/7.21 | (525) all_51_0_31 = all_33_0_22
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (61) with all_0_9_9, nil, all_18_0_15, all_63_0_35 and discharging atoms cons(all_0_9_9, nil) = all_63_0_35, cons(all_0_9_9, nil) = all_18_0_15, yields:
% 20.70/7.21 | (526) all_63_0_35 = all_18_0_15
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (80) with all_0_5_5, all_18_0_15, all_283_1_188, all_301_1_200 and discharging atoms app(all_0_5_5, all_18_0_15) = all_301_1_200, app(all_0_5_5, all_18_0_15) = all_283_1_188, yields:
% 20.70/7.21 | (527) all_301_1_200 = all_283_1_188
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (80) with all_0_5_5, all_18_0_15, all_271_1_180, all_301_1_200 and discharging atoms app(all_0_5_5, all_18_0_15) = all_301_1_200, app(all_0_5_5, all_18_0_15) = all_271_1_180, yields:
% 20.70/7.21 | (528) all_301_1_200 = all_271_1_180
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (80) with all_0_5_5, all_18_0_15, all_258_1_170, all_283_1_188 and discharging atoms app(all_0_5_5, all_18_0_15) = all_283_1_188, app(all_0_5_5, all_18_0_15) = all_258_1_170, yields:
% 20.70/7.21 | (529) all_283_1_188 = all_258_1_170
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (527,528) yields a new equation:
% 20.70/7.21 | (530) all_283_1_188 = all_271_1_180
% 20.70/7.21 |
% 20.70/7.21 | Simplifying 530 yields:
% 20.70/7.21 | (531) all_283_1_188 = all_271_1_180
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (529,531) yields a new equation:
% 20.70/7.21 | (532) all_271_1_180 = all_258_1_170
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (515,520) yields a new equation:
% 20.70/7.21 | (533) all_66_0_36 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Simplifying 533 yields:
% 20.70/7.21 | (534) all_66_0_36 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (524,523) yields a new equation:
% 20.70/7.21 | (535) all_39_0_27 = all_33_0_22
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (521,523) yields a new equation:
% 20.70/7.21 | (536) all_39_0_27 = all_0_8_8
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (516,534) yields a new equation:
% 20.70/7.21 | (537) all_60_0_34 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Simplifying 537 yields:
% 20.70/7.21 | (538) all_60_0_34 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (522,526) yields a new equation:
% 20.70/7.21 | (539) all_51_0_31 = all_18_0_15
% 20.70/7.21 |
% 20.70/7.21 | Simplifying 539 yields:
% 20.70/7.21 | (540) all_51_0_31 = all_18_0_15
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (517,538) yields a new equation:
% 20.70/7.21 | (541) all_48_0_30 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Simplifying 541 yields:
% 20.70/7.21 | (542) all_48_0_30 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (525,540) yields a new equation:
% 20.70/7.21 | (543) all_33_0_22 = all_18_0_15
% 20.70/7.21 |
% 20.70/7.21 | Simplifying 543 yields:
% 20.70/7.21 | (544) all_33_0_22 = all_18_0_15
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (519,542) yields a new equation:
% 20.70/7.21 | (545) all_31_0_21 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Simplifying 545 yields:
% 20.70/7.21 | (546) all_31_0_21 = all_9_0_12
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (535,536) yields a new equation:
% 20.70/7.21 | (547) all_33_0_22 = all_0_8_8
% 20.70/7.21 |
% 20.70/7.21 | Simplifying 547 yields:
% 20.70/7.21 | (548) all_33_0_22 = all_0_8_8
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (548,544) yields a new equation:
% 20.70/7.21 | (549) all_18_0_15 = all_0_8_8
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (518,546) yields a new equation:
% 20.70/7.21 | (550) all_9_0_12 = all_0_6_6
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (550,520) yields a new equation:
% 20.70/7.21 | (551) all_84_0_42 = all_0_6_6
% 20.70/7.21 |
% 20.70/7.21 | Combining equations (532,528) yields a new equation:
% 20.70/7.21 | (552) all_301_1_200 = all_258_1_170
% 20.70/7.21 |
% 20.70/7.21 | From (552)(551) and (310) follows:
% 20.70/7.21 | (553) app(all_258_1_170, all_0_6_6) = all_301_0_199
% 20.70/7.21 |
% 20.70/7.21 | From (549) and (273) follows:
% 20.70/7.21 | (554) app(all_0_5_5, all_0_8_8) = all_258_1_170
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (80) with all_0_5_5, all_0_8_8, all_258_1_170, all_0_4_4 and discharging atoms app(all_0_5_5, all_0_8_8) = all_258_1_170, app(all_0_5_5, all_0_8_8) = all_0_4_4, yields:
% 20.70/7.21 | (555) all_258_1_170 = all_0_4_4
% 20.70/7.21 |
% 20.70/7.21 | From (555) and (553) follows:
% 20.70/7.21 | (556) app(all_0_4_4, all_0_6_6) = all_301_0_199
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (80) with all_0_4_4, all_0_6_6, all_301_0_199, all_0_3_3 and discharging atoms app(all_0_4_4, all_0_6_6) = all_301_0_199, app(all_0_4_4, all_0_6_6) = all_0_3_3, yields:
% 20.70/7.21 | (557) all_301_0_199 = all_0_3_3
% 20.70/7.21 |
% 20.70/7.21 | From (557) and (514) follows:
% 20.70/7.21 | (558) app(all_0_3_3, all_0_2_2) = all_807_0_299
% 20.70/7.21 |
% 20.70/7.21 | Instantiating formula (80) with all_0_3_3, all_0_2_2, all_807_0_299, all_0_11_11 and discharging atoms app(all_0_3_3, all_0_2_2) = all_807_0_299, app(all_0_3_3, all_0_2_2) = all_0_11_11, yields:
% 20.70/7.21 | (559) all_807_0_299 = all_0_11_11
% 20.70/7.21 |
% 20.70/7.21 | Equations (559) can reduce 513 to:
% 20.70/7.21 | (325) $false
% 20.70/7.21 |
% 20.70/7.21 |-The branch is then unsatisfiable
% 20.70/7.21 % SZS output end Proof for theBenchmark
% 20.70/7.21
% 20.70/7.21 6624ms
%------------------------------------------------------------------------------