TSTP Solution File: SWC029+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC029+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:15:49 EDT 2022
% Result : Theorem 20.90s 6.42s
% Output : Proof 24.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC029+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 22:31:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.61 ____ _
% 0.55/0.61 ___ / __ \_____(_)___ ________ __________
% 0.55/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.61
% 0.55/0.61 A Theorem Prover for First-Order Logic
% 0.55/0.61 (ePrincess v.1.0)
% 0.55/0.61
% 0.55/0.61 (c) Philipp Rümmer, 2009-2015
% 0.55/0.61 (c) Peter Backeman, 2014-2015
% 0.55/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.61 Bug reports to peter@backeman.se
% 0.55/0.61
% 0.55/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.61
% 0.55/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.33/1.12 Prover 0: Preprocessing ...
% 4.67/1.70 Prover 0: Constructing countermodel ...
% 18.78/5.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.05/6.08 Prover 1: Preprocessing ...
% 20.42/6.33 Prover 1: Constructing countermodel ...
% 20.90/6.42 Prover 1: proved (437ms)
% 20.90/6.42 Prover 0: stopped
% 20.90/6.42
% 20.90/6.42 No countermodel exists, formula is valid
% 20.90/6.42 % SZS status Theorem for theBenchmark
% 20.90/6.42
% 20.90/6.42 Generating proof ... found it (size 196)
% 23.98/7.13
% 23.98/7.13 % SZS output start Proof for theBenchmark
% 23.98/7.13 Assumed formulas after preprocessing and simplification:
% 23.98/7.13 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ( ~ (v12 = v11) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & neq(v2, nil) = v3 & ssItem(v12) = 0 & ssItem(v11) = 0 & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v16 = 0 | ~ (strictorderedP(v13) = 0) | ~ (lt(v14, v15) = v16) | ~ (ssList(v17) = 0) | ~ (cons(v15, v21) = v22) | ~ (cons(v14, v18) = v19) | ~ (app(v20, v22) = v13) | ~ (app(v17, v19) = v20) | ~ (ssItem(v14) = 0) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23) | ( ~ (v23 = 0) & ssList(v13) = v23) | ( ~ (v23 = 0) & ssItem(v15) = v23))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v16 = 0 | ~ (totalorderedP(v13) = 0) | ~ (leq(v14, v15) = v16) | ~ (ssList(v17) = 0) | ~ (cons(v15, v21) = v22) | ~ (cons(v14, v18) = v19) | ~ (app(v20, v22) = v13) | ~ (app(v17, v19) = v20) | ~ (ssItem(v14) = 0) | ? [v23] : (( ~ (v23 = 0) & ssList(v21) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23) | ( ~ (v23 = 0) & ssList(v13) = v23) | ( ~ (v23 = 0) & ssItem(v15) = v23))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (duplicatefreeP(v13) = 0) | ~ (ssList(v15) = 0) | ~ (cons(v14, v19) = v20) | ~ (cons(v14, v16) = v17) | ~ (app(v18, v20) = v13) | ~ (app(v15, v17) = v18) | ~ (ssItem(v14) = 0) | ? [v21] : (( ~ (v21 = 0) & ssList(v19) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21) | ( ~ (v21 = 0) & ssList(v13) = v21))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (segmentP(v18, v14) = v19) | ~ (segmentP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ~ (app(v16, v17) = v18) | ~ (app(v15, v13) = v16) | ? [v20] : (( ~ (v20 = 0) & ssList(v17) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20) | ( ~ (v20 = 0) & ssList(v14) = v20))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v15 = v14 | ~ (equalelemsP(v13) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v15, v17) = v18) | ~ (cons(v14, v18) = v19) | ~ (app(v16, v19) = v13) | ~ (ssItem(v15) = 0) | ~ (ssItem(v14) = 0) | ? [v20] : (( ~ (v20 = 0) & ssList(v17) = v20) | ( ~ (v20 = 0) & ssList(v13) = v20))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (frontsegP(v16, v18) = v19) | ~ (cons(v14, v17) = v18) | ~ (cons(v13, v15) = v16) | ~ (ssItem(v14) = 0) | ~ (ssItem(v13) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v15) = v20) | (frontsegP(v15, v17) = v21 & ssList(v17) = v20 & ( ~ (v20 = 0) | (( ~ (v21 = 0) | ~ (v14 = v13) | v19 = 0) & ( ~ (v19 = 0) | (v21 = 0 & v14 = v13))))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = 0 | ~ (segmentP(v13, v14) = v15) | ~ (ssList(v13) = 0) | ~ (app(v17, v18) = v13) | ~ (app(v16, v14) = v17) | ? [v19] : (( ~ (v19 = 0) & ssList(v18) = v19) | ( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = 0 | ~ (memberP(v13, v14) = v15) | ~ (ssList(v16) = 0) | ~ (ssList(v13) = 0) | ~ (cons(v14, v17) = v18) | ~ (app(v16, v18) = v13) | ? [v19] : (( ~ (v19 = 0) & ssList(v17) = v19) | ( ~ (v19 = 0) & ssItem(v14) = v19))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (memberP(v17, v13) = v18) | ~ (memberP(v14, v13) = v15) | ~ (app(v14, v16) = v17) | ~ (ssItem(v13) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v14) = v19) | (memberP(v16, v13) = v20 & ssList(v16) = v19 & ( ~ (v19 = 0) | (( ~ (v18 = 0) | v20 = 0 | v15 = 0) & (v18 = 0 | ( ~ (v20 = 0) & ~ (v15 = 0)))))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v13) = 0) | ~ (cons(v16, v14) = v17) | ~ (app(v17, v13) = v18) | ~ (app(v14, v13) = v15) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v14) = v19) | (cons(v16, v15) = v20 & ssItem(v16) = v19 & ( ~ (v19 = 0) | v20 = v18)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v15 | ~ (ssList(v14) = 0) | ~ (ssList(v13) = 0) | ~ (cons(v17, v14) = v16) | ~ (cons(v15, v13) = v16) | ? [v18] : (( ~ (v18 = 0) & ssItem(v17) = v18) | ( ~ (v18 = 0) & ssItem(v15) = v18))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v16, v14) = v17) | ~ (rearsegP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ~ (app(v15, v13) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v14) = v18))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v16, v14) = v17) | ~ (frontsegP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ~ (app(v13, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v14) = v18))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (ssList(v14) = 0) | ~ (ssList(v13) = 0) | ~ (cons(v17, v14) = v16) | ~ (cons(v15, v13) = v16) | ? [v18] : (( ~ (v18 = 0) & ssItem(v17) = v18) | ( ~ (v18 = 0) & ssItem(v15) = v18))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (memberP(v16, v13) = v17) | ~ (cons(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ~ (ssItem(v13) = 0) | ? [v18] : ? [v19] : (memberP(v15, v13) = v19 & ssList(v15) = v18 & ( ~ (v18 = 0) | (( ~ (v17 = 0) | v19 = 0 | v14 = v13) & (v17 = 0 | ( ~ (v19 = 0) & ~ (v14 = v13))))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v13) = 0) | ~ (app(v15, v16) = v17) | ~ (app(v13, v14) = v15) | ? [v18] : ? [v19] : ? [v20] : (( ~ (v18 = 0) & ssList(v14) = v18) | (ssList(v16) = v18 & app(v14, v16) = v19 & app(v13, v19) = v20 & ( ~ (v18 = 0) | v20 = v17)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v13 | v13 = nil | ~ (tl(v13) = v15) | ~ (hd(v13) = v14) | ~ (cons(v14, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v13) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v13 | ~ (ssList(v13) = 0) | ~ (app(v16, v14) = v15) | ~ (app(v13, v14) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v16) = v17) | ( ~ (v17 = 0) & ssList(v14) = v17))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v13 | ~ (ssList(v13) = 0) | ~ (app(v14, v16) = v15) | ~ (app(v14, v13) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v16) = v17) | ( ~ (v17 = 0) & ssList(v14) = v17))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (gt(v13, v15) = v16) | ~ (gt(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssItem(v14) = v17) | (gt(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (geq(v13, v15) = v16) | ~ (geq(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssItem(v14) = v17) | (geq(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (lt(v13, v15) = v16) | ~ (lt(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssItem(v14) = v17) | (lt(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (lt(v13, v15) = v16) | ~ (leq(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssItem(v14) = v17) | (lt(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (leq(v13, v15) = v16) | ~ (leq(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssItem(v14) = v17) | (leq(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (segmentP(v13, v15) = v16) | ~ (segmentP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v14) = v17) | (segmentP(v14, v15) = v18 & ssList(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (rearsegP(v13, v15) = v16) | ~ (rearsegP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v14) = v17) | (rearsegP(v14, v15) = v18 & ssList(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (frontsegP(v13, v15) = v16) | ~ (frontsegP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v14) = v17) | (frontsegP(v14, v15) = v18 & ssList(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (rearsegP(v13, v14) = v15) | ~ (ssList(v13) = 0) | ~ (app(v16, v14) = v13) | ? [v17] : (( ~ (v17 = 0) & ssList(v16) = v17) | ( ~ (v17 = 0) & ssList(v14) = v17))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (frontsegP(v13, v14) = v15) | ~ (ssList(v13) = 0) | ~ (app(v14, v16) = v13) | ? [v17] : (( ~ (v17 = 0) & ssList(v16) = v17) | ( ~ (v17 = 0) & ssList(v14) = v17))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (gt(v16, v15) = v14) | ~ (gt(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (geq(v16, v15) = v14) | ~ (geq(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (lt(v16, v15) = v14) | ~ (lt(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (leq(v16, v15) = v14) | ~ (leq(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (segmentP(v16, v15) = v14) | ~ (segmentP(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (rearsegP(v16, v15) = v14) | ~ (rearsegP(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (frontsegP(v16, v15) = v14) | ~ (frontsegP(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (memberP(v16, v15) = v14) | ~ (memberP(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (cons(v16, v15) = v14) | ~ (cons(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (app(v16, v15) = v14) | ~ (app(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (neq(v16, v15) = v14) | ~ (neq(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = nil | ~ (tl(v13) = v14) | ~ (app(v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : (( ~ (v17 = 0) & ssList(v13) = v17) | (tl(v18) = v19 & ssList(v15) = v17 & app(v13, v15) = v18 & ( ~ (v17 = 0) | v19 = v16)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = nil | ~ (hd(v13) = v14) | ~ (app(v13, v15) = v16) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v13) = v17) | (hd(v16) = v18 & ssList(v15) = v17 & ( ~ (v17 = 0) | v18 = v14)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (hd(v14) = v15) | ~ (lt(v13, v15) = v16) | ~ (ssItem(v13) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : (strictorderedP(v18) = v19 & strictorderedP(v14) = v20 & ssList(v14) = v17 & cons(v13, v14) = v18 & ( ~ (v17 = 0) | (( ~ (v19 = 0) | v14 = nil | (v20 = 0 & v16 = 0)) & (v19 = 0 | ( ~ (v14 = nil) & ( ~ (v20 = 0) | ~ (v16 = 0)))))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (hd(v14) = v15) | ~ (leq(v13, v15) = v16) | ~ (ssItem(v13) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : (totalorderedP(v18) = v19 & totalorderedP(v14) = v20 & ssList(v14) = v17 & cons(v13, v14) = v18 & ( ~ (v17 = 0) | (( ~ (v19 = 0) | v14 = nil | (v20 = 0 & v16 = 0)) & (v19 = 0 | ( ~ (v14 = nil) & ( ~ (v20 = 0) | ~ (v16 = 0)))))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (strictorderP(v13) = 0) | ~ (lt(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v13) = v17) | (lt(v15, v14) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v18 = 0 | v16 = 0 | ~ (ssList(v19) = 0) | ~ (cons(v15, v23) = v24) | ~ (cons(v14, v20) = v21) | ~ (app(v22, v24) = v13) | ~ (app(v19, v21) = v22) | ? [v25] : (( ~ (v25 = 0) & ssList(v23) = v25) | ( ~ (v25 = 0) & ssList(v20) = v25))))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (totalorderP(v13) = 0) | ~ (leq(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v13) = v17) | (leq(v15, v14) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v18 = 0 | v16 = 0 | ~ (ssList(v19) = 0) | ~ (cons(v15, v23) = v24) | ~ (cons(v14, v20) = v21) | ~ (app(v22, v24) = v13) | ~ (app(v19, v21) = v22) | ? [v25] : (( ~ (v25 = 0) & ssList(v23) = v25) | ( ~ (v25 = 0) & ssList(v20) = v25))))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (cyclefreeP(v13) = 0) | ~ (leq(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & ssList(v13) = v17) | (leq(v15, v14) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (v18 = 0) | ~ (v16 = 0) | ~ (ssList(v19) = 0) | ~ (cons(v15, v23) = v24) | ~ (cons(v14, v20) = v21) | ~ (app(v22, v24) = v13) | ~ (app(v19, v21) = v22) | ? [v25] : (( ~ (v25 = 0) & ssList(v23) = v25) | ( ~ (v25 = 0) & ssList(v20) = v25))))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v13) = 0) | ~ (cons(v14, nil) = v15) | ~ (app(v15, v13) = v16) | ? [v17] : ? [v18] : (cons(v14, v13) = v18 & ssItem(v14) = v17 & ( ~ (v17 = 0) | v18 = v16))) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = v13 | ~ (lt(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (leq(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = v13 | ~ (ssList(v13) = 0) | ~ (neq(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = v13 | ~ (neq(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ( ~ (v16 = 0) & ssItem(v14) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (tl(v15) = v14) | ~ (tl(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (hd(v15) = v14) | ~ (hd(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (equalelemsP(v15) = v14) | ~ (equalelemsP(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (duplicatefreeP(v15) = v14) | ~ (duplicatefreeP(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (strictorderedP(v15) = v14) | ~ (strictorderedP(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (totalorderedP(v15) = v14) | ~ (totalorderedP(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (strictorderP(v15) = v14) | ~ (strictorderP(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (totalorderP(v15) = v14) | ~ (totalorderP(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (cyclefreeP(v15) = v14) | ~ (cyclefreeP(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (singletonP(v15) = v14) | ~ (singletonP(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (ssList(v15) = v14) | ~ (ssList(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (ssItem(v15) = v14) | ~ (ssItem(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (singletonP(v13) = v14) | ~ (cons(v15, nil) = v13) | ? [v16] : (( ~ (v16 = 0) & ssList(v13) = v16) | ( ~ (v16 = 0) & ssItem(v15) = v16))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (gt(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (lt(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | v15 = 0) & ( ~ (v15 = 0) | v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (geq(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (leq(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | v15 = 0) & ( ~ (v15 = 0) | v17 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (lt(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (leq(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | v15 = 0 | v14 = v13) & ( ~ (v15 = 0) | (v17 = 0 & ~ (v14 = v13))))))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v13) = 0) | ~ (cons(v14, v13) = v15) | ? [v16] : ? [v17] : (tl(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = v13))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v13) = 0) | ~ (cons(v14, v13) = v15) | ? [v16] : ? [v17] : (hd(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = v14))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v13) = 0) | ~ (cons(v14, v13) = v15) | ? [v16] : ? [v17] : (ssList(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v13) = 0) | ~ (app(v13, v14) = v15) | ? [v16] : ? [v17] : (ssList(v15) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v13] : ! [v14] : (v14 = v13 | ~ (geq(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v15] : ? [v16] : (geq(v14, v13) = v16 & ssItem(v14) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v13] : ! [v14] : (v14 = v13 | ~ (leq(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v15] : ? [v16] : (leq(v14, v13) = v16 & ssItem(v14) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v13] : ! [v14] : (v14 = v13 | ~ (segmentP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v15] : ? [v16] : (segmentP(v14, v13) = v16 & ssList(v14) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v13] : ! [v14] : (v14 = v13 | ~ (rearsegP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v15] : ? [v16] : (rearsegP(v14, v13) = v16 & ssList(v14) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v13] : ! [v14] : (v14 = v13 | ~ (frontsegP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v15] : ? [v16] : (frontsegP(v14, v13) = v16 & ssList(v14) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v13] : ! [v14] : (v14 = v13 | ~ (app(v13, nil) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v13] : ! [v14] : (v14 = v13 | ~ (app(nil, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v13] : ! [v14] : (v14 = nil | ~ (ssList(v13) = 0) | ~ (app(v13, v14) = nil) | ? [v15] : ( ~ (v15 = 0) & ssList(v14) = v15)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (geq(v13, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssItem(v13) = v15)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (equalelemsP(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v13 & v22 = 0 & v20 = 0 & v18 = 0 & v16 = 0 & ~ (v17 = v15) & ssList(v21) = 0 & ssList(v19) = 0 & cons(v17, v21) = v23 & cons(v15, v23) = v24 & app(v19, v24) = v13 & ssItem(v17) = 0 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v14 = 0 | ~ (duplicatefreeP(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v13 & v26 = 0 & v22 = 0 & v20 = 0 & v18 = 0 & v17 = v15 & v16 = 0 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v15, v25) = v27 & cons(v15, v21) = v23 & app(v24, v27) = v13 & app(v19, v23) = v24 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v14 = 0 | ~ (strictorderedP(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v13 & v27 = 0 & v23 = 0 & v21 = 0 & v18 = 0 & v16 = 0 & ~ (v19 = 0) & lt(v15, v17) = v19 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v17, v26) = v28 & cons(v15, v22) = v24 & app(v25, v28) = v13 & app(v20, v24) = v25 & ssItem(v17) = 0 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v14 = 0 | ~ (totalorderedP(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v13 & v27 = 0 & v23 = 0 & v21 = 0 & v18 = 0 & v16 = 0 & ~ (v19 = 0) & leq(v15, v17) = v19 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v17, v26) = v28 & cons(v15, v22) = v24 & app(v25, v28) = v13 & app(v20, v24) = v25 & ssItem(v17) = 0 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v14 = 0 | ~ (strictorderP(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = v13 & v28 = 0 & v24 = 0 & v22 = 0 & v18 = 0 & v16 = 0 & ~ (v20 = 0) & ~ (v19 = 0) & lt(v17, v15) = v20 & lt(v15, v17) = v19 & ssList(v27) = 0 & ssList(v23) = 0 & ssList(v21) = 0 & cons(v17, v27) = v29 & cons(v15, v23) = v25 & app(v26, v29) = v13 & app(v21, v25) = v26 & ssItem(v17) = 0 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v14 = 0 | ~ (totalorderP(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = v13 & v28 = 0 & v24 = 0 & v22 = 0 & v18 = 0 & v16 = 0 & ~ (v20 = 0) & ~ (v19 = 0) & leq(v17, v15) = v20 & leq(v15, v17) = v19 & ssList(v27) = 0 & ssList(v23) = 0 & ssList(v21) = 0 & cons(v17, v27) = v29 & cons(v15, v23) = v25 & app(v26, v29) = v13 & app(v21, v25) = v26 & ssItem(v17) = 0 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v14 = 0 | ~ (cyclefreeP(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = v13 & v28 = 0 & v24 = 0 & v22 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & v16 = 0 & leq(v17, v15) = 0 & leq(v15, v17) = 0 & ssList(v27) = 0 & ssList(v23) = 0 & ssList(v21) = 0 & cons(v17, v27) = v29 & cons(v15, v23) = v25 & app(v26, v29) = v13 & app(v21, v25) = v26 & ssItem(v17) = 0 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v14 = 0 | ~ (leq(v13, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssItem(v13) = v15)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (segmentP(v13, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (segmentP(v13, nil) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (rearsegP(v13, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (rearsegP(v13, nil) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (frontsegP(v13, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (frontsegP(v13, nil) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v13] : ! [v14] : (v13 = nil | ~ (tl(v13) = v14) | ? [v15] : ? [v16] : (ssList(v14) = v16 & ssList(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : ! [v14] : (v13 = nil | ~ (tl(v13) = v14) | ? [v15] : ? [v16] : ((v16 = 0 & v15 = v14 & ssList(v14) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v13 = nil | ~ (hd(v13) = v14) | ? [v15] : ? [v16] : (ssList(v13) = v15 & ssItem(v14) = v16 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : ! [v14] : (v13 = nil | ~ (hd(v13) = v14) | ? [v15] : ? [v16] : ((v16 = 0 & v15 = v14 & ssItem(v14) = 0) | ( ~ (v15 = 0) & ssList(v13) = v15))) & ! [v13] : ! [v14] : (v13 = nil | ~ (ssList(v13) = 0) | ~ (app(v13, v14) = nil) | ? [v15] : ( ~ (v15 = 0) & ssList(v14) = v15)) & ! [v13] : ! [v14] : ( ~ (gt(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v15] : ? [v16] : (gt(v14, v13) = v16 & ssItem(v14) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v13] : ! [v14] : ( ~ (tl(v13) = v14) | ? [v15] : ? [v16] : (hd(v13) = v16 & ssList(v13) = v15 & ( ~ (v15 = 0) | ! [v17] : (v17 = v13 | v17 = nil | v13 = nil | ~ (tl(v17) = v14) | ? [v18] : ? [v19] : (hd(v17) = v19 & ssList(v17) = v18 & ( ~ (v19 = v16) | ~ (v18 = 0))))))) & ! [v13] : ! [v14] : ( ~ (lt(v13, v14) = 0) | ~ (ssItem(v13) = 0) | ? [v15] : ? [v16] : (lt(v14, v13) = v16 & ssItem(v14) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v13] : ! [v14] : ( ~ (segmentP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v20 = v13 & v19 = 0 & v16 = 0 & ssList(v18) = 0 & ssList(v15) = 0 & app(v17, v18) = v13 & app(v15, v14) = v17) | ( ~ (v15 = 0) & ssList(v14) = v15))) & ! [v13] : ! [v14] : ( ~ (rearsegP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v15] : ? [v16] : ? [v17] : ((v17 = v13 & v16 = 0 & ssList(v15) = 0 & app(v15, v14) = v13) | ( ~ (v15 = 0) & ssList(v14) = v15))) & ! [v13] : ! [v14] : ( ~ (frontsegP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v15] : ? [v16] : ? [v17] : ((v17 = v13 & v16 = 0 & ssList(v15) = 0 & app(v14, v15) = v13) | ( ~ (v15 = 0) & ssList(v14) = v15))) & ! [v13] : ! [v14] : ( ~ (memberP(v13, v14) = 0) | ~ (ssList(v13) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v20 = v13 & v18 = 0 & v16 = 0 & ssList(v17) = 0 & ssList(v15) = 0 & cons(v14, v17) = v19 & app(v15, v19) = v13) | ( ~ (v15 = 0) & ssItem(v14) = v15))) & ! [v13] : ! [v14] : ( ~ (ssList(v13) = 0) | ~ (cons(v14, v13) = v13) | ? [v15] : ( ~ (v15 = 0) & ssItem(v14) = v15)) & ! [v13] : ! [v14] : ( ~ (ssList(v13) = 0) | ~ (cons(v14, v13) = nil) | ? [v15] : ( ~ (v15 = 0) & ssItem(v14) = v15)) & ! [v13] : ! [v14] : ( ~ (cons(v13, nil) = v14) | ? [v15] : ? [v16] : (equalelemsP(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : ! [v14] : ( ~ (cons(v13, nil) = v14) | ? [v15] : ? [v16] : (duplicatefreeP(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : ! [v14] : ( ~ (cons(v13, nil) = v14) | ? [v15] : ? [v16] : (strictorderedP(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : ! [v14] : ( ~ (cons(v13, nil) = v14) | ? [v15] : ? [v16] : (totalorderedP(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : ! [v14] : ( ~ (cons(v13, nil) = v14) | ? [v15] : ? [v16] : (strictorderP(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : ! [v14] : ( ~ (cons(v13, nil) = v14) | ? [v15] : ? [v16] : (totalorderP(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : ! [v14] : ( ~ (cons(v13, nil) = v14) | ? [v15] : ? [v16] : (cyclefreeP(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v13] : (v13 = nil | ~ (segmentP(nil, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v13] : (v13 = nil | ~ (rearsegP(nil, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v13] : (v13 = nil | ~ (frontsegP(nil, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v13] : (v13 = nil | ~ (ssList(v13) = 0) | ? [v14] : ? [v15] : (ssList(v14) = 0 & cons(v15, v14) = v13 & ssItem(v15) = 0)) & ! [v13] : (v13 = nil | ~ (app(nil, nil) = v13)) & ! [v13] : (v13 = 0 | ~ (segmentP(nil, nil) = v13)) & ! [v13] : (v13 = 0 | ~ (rearsegP(nil, nil) = v13)) & ! [v13] : (v13 = 0 | ~ (frontsegP(nil, nil) = v13)) & ! [v13] : ( ~ (lt(v13, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & ssItem(v13) = v14)) & ! [v13] : ( ~ (singletonP(v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v13 & v15 = 0 & cons(v14, nil) = v13 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v13] : ( ~ (memberP(nil, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & ssItem(v13) = v14)) & ! [v13] : ( ~ (ssList(v13) = 0) | ~ (neq(v13, v13) = 0)) & ! [v13] : ( ~ (neq(v13, v13) = 0) | ~ (ssItem(v13) = 0)) & ( ~ (v3 = 0) | (v10 = v1 & v9 = v2 & v8 = 0 & v5 = 0 & ssList(v7) = 0 & cons(v4, nil) = v6 & app(v7, v6) = v1 & app(v6, v7) = v2 & ssItem(v4) = 0)) & ( ~ (v2 = nil) | v1 = nil) & ((v2 = nil & ~ (v1 = nil)) | (v1 = nil & ~ (v2 = nil))))
% 24.38/7.20 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12 yields:
% 24.38/7.20 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_12_12 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = all_0_12_12 & ssList(all_0_10_10) = 0 & ssList(all_0_11_11) = 0 & ssList(nil) = 0 & neq(all_0_10_10, nil) = all_0_9_9 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & ( ~ (all_0_9_9 = 0) | (all_0_2_2 = all_0_11_11 & all_0_3_3 = all_0_10_10 & all_0_4_4 = 0 & all_0_7_7 = 0 & ssList(all_0_5_5) = 0 & cons(all_0_8_8, nil) = all_0_6_6 & app(all_0_5_5, all_0_6_6) = all_0_11_11 & app(all_0_6_6, all_0_5_5) = all_0_10_10 & ssItem(all_0_8_8) = 0)) & ( ~ (all_0_10_10 = nil) | all_0_11_11 = nil) & ((all_0_10_10 = nil & ~ (all_0_11_11 = nil)) | (all_0_11_11 = nil & ~ (all_0_10_10 = nil)))
% 24.38/7.22 |
% 24.38/7.22 | Applying alpha-rule on (1) yields:
% 24.38/7.22 | (2) ~ (all_0_0_0 = all_0_1_1)
% 24.38/7.22 | (3) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.38/7.22 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.38/7.22 | (5) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.22 | (6) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.38/7.22 | (7) singletonP(nil) = all_0_12_12
% 24.38/7.22 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 24.38/7.22 | (9) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.38/7.22 | (10) (all_0_10_10 = nil & ~ (all_0_11_11 = nil)) | (all_0_11_11 = nil & ~ (all_0_10_10 = nil))
% 24.38/7.22 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 24.38/7.22 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.38/7.22 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3))))
% 24.38/7.22 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 24.38/7.22 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.38/7.22 | (16) ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0)))))))
% 24.38/7.22 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0))))))))
% 24.38/7.22 | (18) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.38/7.22 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 24.38/7.22 | (20) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.22 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4)))
% 24.38/7.23 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 24.38/7.23 | (23) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 24.38/7.23 | (24) totalorderP(nil) = 0
% 24.38/7.23 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6)))
% 24.38/7.23 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7)))
% 24.38/7.23 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 24.38/7.23 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 24.38/7.23 | (29) duplicatefreeP(nil) = 0
% 24.38/7.23 | (30) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 24.38/7.23 | (31) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.23 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6)))
% 24.38/7.23 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7)))
% 24.38/7.23 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1))))
% 24.38/7.23 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0)))))))
% 24.38/7.23 | (36) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.23 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 24.38/7.23 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10)))
% 24.38/7.23 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 24.38/7.23 | (40) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.38/7.23 | (41) ssItem(all_0_0_0) = 0
% 24.38/7.23 | (42) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 24.38/7.23 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12)))))))
% 24.38/7.23 | (44) ssList(nil) = 0
% 24.38/7.23 | (45) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.38/7.23 | (46) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 24.38/7.23 | (47) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.23 | (48) strictorderedP(nil) = 0
% 24.38/7.23 | (49) ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.23 | (50) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.38/7.23 | (51) ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.23 | (52) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.38/7.23 | (53) ssList(all_0_11_11) = 0
% 24.38/7.23 | (54) totalorderedP(nil) = 0
% 24.38/7.23 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12)))))))
% 24.38/7.23 | (56) ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.23 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4))))
% 24.38/7.23 | (58) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.38/7.23 | (59) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 24.38/7.24 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5))))
% 24.38/7.24 | (61) ~ (all_0_10_10 = nil) | all_0_11_11 = nil
% 24.38/7.24 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 24.38/7.24 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 24.38/7.24 | (64) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 24.38/7.24 | (65) ~ (all_0_12_12 = 0)
% 24.38/7.24 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.38/7.24 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0)))))))
% 24.38/7.24 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4)))
% 24.38/7.24 | (69) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 24.38/7.24 | (70) strictorderP(nil) = 0
% 24.38/7.24 | (71) ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.24 | (72) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.24 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5)))
% 24.38/7.24 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 24.38/7.24 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 24.38/7.24 | (76) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 24.38/7.24 | (77) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 24.38/7.24 | (78) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.24 | (79) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 24.38/7.24 | (80) ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2)))
% 24.38/7.24 | (81) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.38/7.24 | (82) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 24.38/7.24 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 24.38/7.24 | (84) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.24 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4)))
% 24.38/7.24 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 24.38/7.24 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 24.38/7.24 | (88) ssItem(all_0_1_1) = 0
% 24.38/7.24 | (89) ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.24 | (90) ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2)))
% 24.38/7.24 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.38/7.24 | (92) neq(all_0_10_10, nil) = all_0_9_9
% 24.38/7.24 | (93) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.24 | (94) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 24.38/7.24 | (95) ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.24 | (96) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 24.38/7.24 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.38/7.24 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0))))))))
% 24.38/7.24 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8)))
% 24.38/7.24 | (100) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 24.38/7.24 | (101) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 24.38/7.25 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 24.38/7.25 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4)))
% 24.38/7.25 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 24.38/7.25 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12)))))))
% 24.38/7.25 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 24.38/7.25 | (107) ssList(all_0_10_10) = 0
% 24.38/7.25 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 24.38/7.25 | (109) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 24.38/7.25 | (110) equalelemsP(nil) = 0
% 24.38/7.25 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5)))
% 24.38/7.25 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 24.38/7.25 | (113) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 24.38/7.25 | (114) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.25 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 24.38/7.25 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 24.38/7.25 | (117) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.38/7.25 | (118) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.38/7.25 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5)))
% 24.38/7.25 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 24.38/7.25 | (121) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 24.38/7.25 | (122) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 24.38/7.25 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0))))))))
% 24.38/7.25 | (124) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.38/7.25 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0)))))))
% 24.38/7.25 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 24.38/7.25 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.38/7.25 | (128) ~ (all_0_9_9 = 0) | (all_0_2_2 = all_0_11_11 & all_0_3_3 = all_0_10_10 & all_0_4_4 = 0 & all_0_7_7 = 0 & ssList(all_0_5_5) = 0 & cons(all_0_8_8, nil) = all_0_6_6 & app(all_0_5_5, all_0_6_6) = all_0_11_11 & app(all_0_6_6, all_0_5_5) = all_0_10_10 & ssItem(all_0_8_8) = 0)
% 24.38/7.25 | (129) ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 24.38/7.25 | (130) ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2)))
% 24.38/7.25 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 24.38/7.25 | (132) cyclefreeP(nil) = 0
% 24.38/7.25 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 24.38/7.25 | (134) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 24.38/7.25 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 24.38/7.25 | (136) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 24.38/7.25 | (137) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.38/7.25 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5)))
% 24.38/7.25 | (139) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 24.38/7.25 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 24.38/7.25 | (141) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 24.38/7.25 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 24.38/7.25 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10)))
% 24.38/7.25 | (144) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 24.38/7.25 | (145) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 24.38/7.25 | (146) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 24.38/7.25 | (147) ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2)))
% 24.38/7.26 | (148) ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (59) with all_0_9_9, nil, all_0_10_10 and discharging atoms ssList(all_0_10_10) = 0, neq(all_0_10_10, nil) = all_0_9_9, yields:
% 24.38/7.26 | (149) all_0_9_9 = 0 | all_0_10_10 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 24.38/7.26 |
% 24.38/7.26 +-Applying beta-rule and splitting (128), into two cases.
% 24.38/7.26 |-Branch one:
% 24.38/7.26 | (150) ~ (all_0_9_9 = 0)
% 24.38/7.26 |
% 24.38/7.26 +-Applying beta-rule and splitting (149), into two cases.
% 24.38/7.26 |-Branch one:
% 24.38/7.26 | (151) all_0_10_10 = nil
% 24.38/7.26 |
% 24.38/7.26 +-Applying beta-rule and splitting (10), into two cases.
% 24.38/7.26 |-Branch one:
% 24.38/7.26 | (152) all_0_10_10 = nil & ~ (all_0_11_11 = nil)
% 24.38/7.26 |
% 24.38/7.26 | Applying alpha-rule on (152) yields:
% 24.38/7.26 | (151) all_0_10_10 = nil
% 24.38/7.26 | (154) ~ (all_0_11_11 = nil)
% 24.38/7.26 |
% 24.38/7.26 +-Applying beta-rule and splitting (61), into two cases.
% 24.38/7.26 |-Branch one:
% 24.38/7.26 | (155) ~ (all_0_10_10 = nil)
% 24.38/7.26 |
% 24.38/7.26 | Equations (151) can reduce 155 to:
% 24.38/7.26 | (156) $false
% 24.38/7.26 |
% 24.38/7.26 |-The branch is then unsatisfiable
% 24.38/7.26 |-Branch two:
% 24.38/7.26 | (151) all_0_10_10 = nil
% 24.38/7.26 | (158) all_0_11_11 = nil
% 24.38/7.26 |
% 24.38/7.26 | Equations (158) can reduce 154 to:
% 24.38/7.26 | (156) $false
% 24.38/7.26 |
% 24.38/7.26 |-The branch is then unsatisfiable
% 24.38/7.26 |-Branch two:
% 24.38/7.26 | (160) all_0_11_11 = nil & ~ (all_0_10_10 = nil)
% 24.38/7.26 |
% 24.38/7.26 | Applying alpha-rule on (160) yields:
% 24.38/7.26 | (158) all_0_11_11 = nil
% 24.38/7.26 | (155) ~ (all_0_10_10 = nil)
% 24.38/7.26 |
% 24.38/7.26 | Equations (151) can reduce 155 to:
% 24.38/7.26 | (156) $false
% 24.38/7.26 |
% 24.38/7.26 |-The branch is then unsatisfiable
% 24.38/7.26 |-Branch two:
% 24.38/7.26 | (155) ~ (all_0_10_10 = nil)
% 24.38/7.26 | (165) all_0_9_9 = 0 | ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 24.38/7.26 |
% 24.38/7.26 +-Applying beta-rule and splitting (10), into two cases.
% 24.38/7.26 |-Branch one:
% 24.38/7.26 | (152) all_0_10_10 = nil & ~ (all_0_11_11 = nil)
% 24.38/7.26 |
% 24.38/7.26 | Applying alpha-rule on (152) yields:
% 24.38/7.26 | (151) all_0_10_10 = nil
% 24.38/7.26 | (154) ~ (all_0_11_11 = nil)
% 24.38/7.26 |
% 24.38/7.26 | Equations (151) can reduce 155 to:
% 24.38/7.26 | (156) $false
% 24.38/7.26 |
% 24.38/7.26 |-The branch is then unsatisfiable
% 24.38/7.26 |-Branch two:
% 24.38/7.26 | (160) all_0_11_11 = nil & ~ (all_0_10_10 = nil)
% 24.38/7.26 |
% 24.38/7.26 | Applying alpha-rule on (160) yields:
% 24.38/7.26 | (158) all_0_11_11 = nil
% 24.38/7.26 | (155) ~ (all_0_10_10 = nil)
% 24.38/7.26 |
% 24.38/7.26 | From (158) and (53) follows:
% 24.38/7.26 | (44) ssList(nil) = 0
% 24.38/7.26 |
% 24.38/7.26 +-Applying beta-rule and splitting (165), into two cases.
% 24.38/7.26 |-Branch one:
% 24.38/7.26 | (174) all_0_9_9 = 0
% 24.38/7.26 |
% 24.38/7.26 | Equations (174) can reduce 150 to:
% 24.38/7.26 | (156) $false
% 24.38/7.26 |
% 24.38/7.26 |-The branch is then unsatisfiable
% 24.38/7.26 |-Branch two:
% 24.38/7.26 | (150) ~ (all_0_9_9 = 0)
% 24.38/7.26 | (177) ? [v0] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 24.38/7.26 |
% 24.38/7.26 | Instantiating (177) with all_22_0_13 yields:
% 24.38/7.26 | (178) ~ (all_22_0_13 = 0) & ssList(nil) = all_22_0_13
% 24.38/7.26 |
% 24.38/7.26 | Applying alpha-rule on (178) yields:
% 24.38/7.26 | (179) ~ (all_22_0_13 = 0)
% 24.38/7.26 | (180) ssList(nil) = all_22_0_13
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (14) with nil, all_22_0_13, 0 and discharging atoms ssList(nil) = all_22_0_13, ssList(nil) = 0, yields:
% 24.38/7.26 | (181) all_22_0_13 = 0
% 24.38/7.26 |
% 24.38/7.26 | Equations (181) can reduce 179 to:
% 24.38/7.26 | (156) $false
% 24.38/7.26 |
% 24.38/7.26 |-The branch is then unsatisfiable
% 24.38/7.26 |-Branch two:
% 24.38/7.26 | (174) all_0_9_9 = 0
% 24.38/7.26 | (184) all_0_2_2 = all_0_11_11 & all_0_3_3 = all_0_10_10 & all_0_4_4 = 0 & all_0_7_7 = 0 & ssList(all_0_5_5) = 0 & cons(all_0_8_8, nil) = all_0_6_6 & app(all_0_5_5, all_0_6_6) = all_0_11_11 & app(all_0_6_6, all_0_5_5) = all_0_10_10 & ssItem(all_0_8_8) = 0
% 24.38/7.26 |
% 24.38/7.26 | Applying alpha-rule on (184) yields:
% 24.38/7.26 | (185) app(all_0_6_6, all_0_5_5) = all_0_10_10
% 24.38/7.26 | (186) app(all_0_5_5, all_0_6_6) = all_0_11_11
% 24.38/7.26 | (187) ssList(all_0_5_5) = 0
% 24.38/7.26 | (188) all_0_4_4 = 0
% 24.38/7.26 | (189) all_0_7_7 = 0
% 24.38/7.26 | (190) cons(all_0_8_8, nil) = all_0_6_6
% 24.38/7.26 | (191) all_0_2_2 = all_0_11_11
% 24.38/7.26 | (192) ssItem(all_0_8_8) = 0
% 24.38/7.26 | (193) all_0_3_3 = all_0_10_10
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (144) with all_0_6_6, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (194) ? [v0] : ? [v1] : (tl(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (126) with all_0_6_6, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (195) ? [v0] : ? [v1] : (hd(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (28) with all_0_6_6, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (196) ? [v0] : ? [v1] : (ssList(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (84) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (197) ? [v0] : ? [v1] : (equalelemsP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (78) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (198) ? [v0] : ? [v1] : (duplicatefreeP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (36) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (199) ? [v0] : ? [v1] : (strictorderedP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (72) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (200) ? [v0] : ? [v1] : (totalorderedP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (114) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (201) ? [v0] : ? [v1] : (strictorderP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (124) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (202) ? [v0] : ? [v1] : (totalorderP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (31) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.26 | (203) ? [v0] : ? [v1] : (cyclefreeP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (96) with all_0_8_8, nil and discharging atoms ssList(nil) = 0, yields:
% 24.38/7.26 | (204) ~ (cons(all_0_8_8, nil) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (83) with all_0_11_11, all_0_6_6, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, app(all_0_5_5, all_0_6_6) = all_0_11_11, yields:
% 24.38/7.26 | (205) ? [v0] : ? [v1] : (ssList(all_0_6_6) = v0 & ssList(all_0_11_11) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (136) with all_0_6_6, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 24.38/7.26 | (206) all_0_6_6 = nil | ~ (app(all_0_5_5, all_0_6_6) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (101) with all_0_6_6, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 24.38/7.26 | (207) all_0_5_5 = nil | ~ (app(all_0_5_5, all_0_6_6) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (137) with all_0_11_11, all_0_6_6 yields:
% 24.38/7.26 | (208) all_0_6_6 = all_0_11_11 | ~ (app(nil, all_0_6_6) = all_0_11_11) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.26 |
% 24.38/7.26 | Instantiating formula (112) with all_0_10_10, all_0_6_6, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.27 | (209) ~ (app(all_0_6_6, nil) = all_0_10_10) | ? [v0] : ? [v1] : (cons(all_0_8_8, nil) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (112) with all_0_10_10, all_0_6_6, all_0_8_8, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, cons(all_0_8_8, nil) = all_0_6_6, app(all_0_6_6, all_0_5_5) = all_0_10_10, yields:
% 24.38/7.27 | (210) ? [v0] : ? [v1] : (cons(all_0_8_8, all_0_5_5) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (6) with all_0_10_10, all_0_6_6 yields:
% 24.38/7.27 | (211) all_0_6_6 = all_0_10_10 | ~ (app(all_0_6_6, nil) = all_0_10_10) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (210) with all_15_0_16, all_15_1_17 yields:
% 24.38/7.27 | (212) cons(all_0_8_8, all_0_5_5) = all_15_0_16 & ssItem(all_0_8_8) = all_15_1_17 & ( ~ (all_15_1_17 = 0) | all_15_0_16 = all_0_10_10)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (212) yields:
% 24.38/7.27 | (213) cons(all_0_8_8, all_0_5_5) = all_15_0_16
% 24.38/7.27 | (214) ssItem(all_0_8_8) = all_15_1_17
% 24.38/7.27 | (215) ~ (all_15_1_17 = 0) | all_15_0_16 = all_0_10_10
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (205) with all_17_0_18, all_17_1_19 yields:
% 24.38/7.27 | (216) ssList(all_0_6_6) = all_17_1_19 & ssList(all_0_11_11) = all_17_0_18 & ( ~ (all_17_1_19 = 0) | all_17_0_18 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (216) yields:
% 24.38/7.27 | (217) ssList(all_0_6_6) = all_17_1_19
% 24.38/7.27 | (218) ssList(all_0_11_11) = all_17_0_18
% 24.38/7.27 | (219) ~ (all_17_1_19 = 0) | all_17_0_18 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (203) with all_19_0_20, all_19_1_21 yields:
% 24.38/7.27 | (220) cyclefreeP(all_0_6_6) = all_19_0_20 & ssItem(all_0_8_8) = all_19_1_21 & ( ~ (all_19_1_21 = 0) | all_19_0_20 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (220) yields:
% 24.38/7.27 | (221) cyclefreeP(all_0_6_6) = all_19_0_20
% 24.38/7.27 | (222) ssItem(all_0_8_8) = all_19_1_21
% 24.38/7.27 | (223) ~ (all_19_1_21 = 0) | all_19_0_20 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (202) with all_21_0_22, all_21_1_23 yields:
% 24.38/7.27 | (224) totalorderP(all_0_6_6) = all_21_0_22 & ssItem(all_0_8_8) = all_21_1_23 & ( ~ (all_21_1_23 = 0) | all_21_0_22 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (224) yields:
% 24.38/7.27 | (225) totalorderP(all_0_6_6) = all_21_0_22
% 24.38/7.27 | (226) ssItem(all_0_8_8) = all_21_1_23
% 24.38/7.27 | (227) ~ (all_21_1_23 = 0) | all_21_0_22 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (199) with all_23_0_24, all_23_1_25 yields:
% 24.38/7.27 | (228) strictorderedP(all_0_6_6) = all_23_0_24 & ssItem(all_0_8_8) = all_23_1_25 & ( ~ (all_23_1_25 = 0) | all_23_0_24 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (228) yields:
% 24.38/7.27 | (229) strictorderedP(all_0_6_6) = all_23_0_24
% 24.38/7.27 | (230) ssItem(all_0_8_8) = all_23_1_25
% 24.38/7.27 | (231) ~ (all_23_1_25 = 0) | all_23_0_24 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (198) with all_25_0_26, all_25_1_27 yields:
% 24.38/7.27 | (232) duplicatefreeP(all_0_6_6) = all_25_0_26 & ssItem(all_0_8_8) = all_25_1_27 & ( ~ (all_25_1_27 = 0) | all_25_0_26 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (232) yields:
% 24.38/7.27 | (233) duplicatefreeP(all_0_6_6) = all_25_0_26
% 24.38/7.27 | (234) ssItem(all_0_8_8) = all_25_1_27
% 24.38/7.27 | (235) ~ (all_25_1_27 = 0) | all_25_0_26 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (197) with all_27_0_28, all_27_1_29 yields:
% 24.38/7.27 | (236) equalelemsP(all_0_6_6) = all_27_0_28 & ssItem(all_0_8_8) = all_27_1_29 & ( ~ (all_27_1_29 = 0) | all_27_0_28 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (236) yields:
% 24.38/7.27 | (237) equalelemsP(all_0_6_6) = all_27_0_28
% 24.38/7.27 | (238) ssItem(all_0_8_8) = all_27_1_29
% 24.38/7.27 | (239) ~ (all_27_1_29 = 0) | all_27_0_28 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (201) with all_29_0_30, all_29_1_31 yields:
% 24.38/7.27 | (240) strictorderP(all_0_6_6) = all_29_0_30 & ssItem(all_0_8_8) = all_29_1_31 & ( ~ (all_29_1_31 = 0) | all_29_0_30 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (240) yields:
% 24.38/7.27 | (241) strictorderP(all_0_6_6) = all_29_0_30
% 24.38/7.27 | (242) ssItem(all_0_8_8) = all_29_1_31
% 24.38/7.27 | (243) ~ (all_29_1_31 = 0) | all_29_0_30 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (200) with all_31_0_32, all_31_1_33 yields:
% 24.38/7.27 | (244) totalorderedP(all_0_6_6) = all_31_0_32 & ssItem(all_0_8_8) = all_31_1_33 & ( ~ (all_31_1_33 = 0) | all_31_0_32 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (244) yields:
% 24.38/7.27 | (245) totalorderedP(all_0_6_6) = all_31_0_32
% 24.38/7.27 | (246) ssItem(all_0_8_8) = all_31_1_33
% 24.38/7.27 | (247) ~ (all_31_1_33 = 0) | all_31_0_32 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (196) with all_33_0_34, all_33_1_35 yields:
% 24.38/7.27 | (248) ssList(all_0_6_6) = all_33_0_34 & ssItem(all_0_8_8) = all_33_1_35 & ( ~ (all_33_1_35 = 0) | all_33_0_34 = 0)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (248) yields:
% 24.38/7.27 | (249) ssList(all_0_6_6) = all_33_0_34
% 24.38/7.27 | (250) ssItem(all_0_8_8) = all_33_1_35
% 24.38/7.27 | (251) ~ (all_33_1_35 = 0) | all_33_0_34 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (194) with all_35_0_36, all_35_1_37 yields:
% 24.38/7.27 | (252) tl(all_0_6_6) = all_35_0_36 & ssItem(all_0_8_8) = all_35_1_37 & ( ~ (all_35_1_37 = 0) | all_35_0_36 = nil)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (252) yields:
% 24.38/7.27 | (253) tl(all_0_6_6) = all_35_0_36
% 24.38/7.27 | (254) ssItem(all_0_8_8) = all_35_1_37
% 24.38/7.27 | (255) ~ (all_35_1_37 = 0) | all_35_0_36 = nil
% 24.38/7.27 |
% 24.38/7.27 | Instantiating (195) with all_37_0_38, all_37_1_39 yields:
% 24.38/7.27 | (256) hd(all_0_6_6) = all_37_0_38 & ssItem(all_0_8_8) = all_37_1_39 & ( ~ (all_37_1_39 = 0) | all_37_0_38 = all_0_8_8)
% 24.38/7.27 |
% 24.38/7.27 | Applying alpha-rule on (256) yields:
% 24.38/7.27 | (257) hd(all_0_6_6) = all_37_0_38
% 24.38/7.27 | (258) ssItem(all_0_8_8) = all_37_1_39
% 24.38/7.27 | (259) ~ (all_37_1_39 = 0) | all_37_0_38 = all_0_8_8
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (14) with all_0_6_6, all_17_1_19, all_33_0_34 and discharging atoms ssList(all_0_6_6) = all_33_0_34, ssList(all_0_6_6) = all_17_1_19, yields:
% 24.38/7.27 | (260) all_33_0_34 = all_17_1_19
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (108) with all_0_8_8, nil, all_15_0_16, all_0_6_6 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.38/7.27 | (261) all_15_0_16 = all_0_6_6 | ~ (cons(all_0_8_8, nil) = all_15_0_16)
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_35_1_37, 0 and discharging atoms ssItem(all_0_8_8) = all_35_1_37, ssItem(all_0_8_8) = 0, yields:
% 24.38/7.27 | (262) all_35_1_37 = 0
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_35_1_37, all_37_1_39 and discharging atoms ssItem(all_0_8_8) = all_37_1_39, ssItem(all_0_8_8) = all_35_1_37, yields:
% 24.38/7.27 | (263) all_37_1_39 = all_35_1_37
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_31_1_33, all_37_1_39 and discharging atoms ssItem(all_0_8_8) = all_37_1_39, ssItem(all_0_8_8) = all_31_1_33, yields:
% 24.38/7.27 | (264) all_37_1_39 = all_31_1_33
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_29_1_31, all_35_1_37 and discharging atoms ssItem(all_0_8_8) = all_35_1_37, ssItem(all_0_8_8) = all_29_1_31, yields:
% 24.38/7.27 | (265) all_35_1_37 = all_29_1_31
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_27_1_29, all_35_1_37 and discharging atoms ssItem(all_0_8_8) = all_35_1_37, ssItem(all_0_8_8) = all_27_1_29, yields:
% 24.38/7.27 | (266) all_35_1_37 = all_27_1_29
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_27_1_29, all_33_1_35 and discharging atoms ssItem(all_0_8_8) = all_33_1_35, ssItem(all_0_8_8) = all_27_1_29, yields:
% 24.38/7.27 | (267) all_33_1_35 = all_27_1_29
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_25_1_27, all_27_1_29 and discharging atoms ssItem(all_0_8_8) = all_27_1_29, ssItem(all_0_8_8) = all_25_1_27, yields:
% 24.38/7.27 | (268) all_27_1_29 = all_25_1_27
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_23_1_25, all_35_1_37 and discharging atoms ssItem(all_0_8_8) = all_35_1_37, ssItem(all_0_8_8) = all_23_1_25, yields:
% 24.38/7.27 | (269) all_35_1_37 = all_23_1_25
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_21_1_23, all_35_1_37 and discharging atoms ssItem(all_0_8_8) = all_35_1_37, ssItem(all_0_8_8) = all_21_1_23, yields:
% 24.38/7.27 | (270) all_35_1_37 = all_21_1_23
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_19_1_21, all_33_1_35 and discharging atoms ssItem(all_0_8_8) = all_33_1_35, ssItem(all_0_8_8) = all_19_1_21, yields:
% 24.38/7.27 | (271) all_33_1_35 = all_19_1_21
% 24.38/7.27 |
% 24.38/7.27 | Instantiating formula (75) with all_0_8_8, all_15_1_17, all_29_1_31 and discharging atoms ssItem(all_0_8_8) = all_29_1_31, ssItem(all_0_8_8) = all_15_1_17, yields:
% 24.38/7.27 | (272) all_29_1_31 = all_15_1_17
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (263,264) yields a new equation:
% 24.38/7.27 | (273) all_35_1_37 = all_31_1_33
% 24.38/7.27 |
% 24.38/7.27 | Simplifying 273 yields:
% 24.38/7.27 | (274) all_35_1_37 = all_31_1_33
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (270,274) yields a new equation:
% 24.38/7.27 | (275) all_31_1_33 = all_21_1_23
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (269,274) yields a new equation:
% 24.38/7.27 | (276) all_31_1_33 = all_23_1_25
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (266,274) yields a new equation:
% 24.38/7.27 | (277) all_31_1_33 = all_27_1_29
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (262,274) yields a new equation:
% 24.38/7.27 | (278) all_31_1_33 = 0
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (265,274) yields a new equation:
% 24.38/7.27 | (279) all_31_1_33 = all_29_1_31
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (267,271) yields a new equation:
% 24.38/7.27 | (280) all_27_1_29 = all_19_1_21
% 24.38/7.27 |
% 24.38/7.27 | Simplifying 280 yields:
% 24.38/7.27 | (281) all_27_1_29 = all_19_1_21
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (278,276) yields a new equation:
% 24.38/7.27 | (282) all_23_1_25 = 0
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (279,276) yields a new equation:
% 24.38/7.27 | (283) all_29_1_31 = all_23_1_25
% 24.38/7.27 |
% 24.38/7.27 | Simplifying 283 yields:
% 24.38/7.27 | (284) all_29_1_31 = all_23_1_25
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (275,276) yields a new equation:
% 24.38/7.27 | (285) all_23_1_25 = all_21_1_23
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (277,276) yields a new equation:
% 24.38/7.27 | (286) all_27_1_29 = all_23_1_25
% 24.38/7.27 |
% 24.38/7.27 | Simplifying 286 yields:
% 24.38/7.27 | (287) all_27_1_29 = all_23_1_25
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (284,272) yields a new equation:
% 24.38/7.27 | (288) all_23_1_25 = all_15_1_17
% 24.38/7.27 |
% 24.38/7.27 | Simplifying 288 yields:
% 24.38/7.27 | (289) all_23_1_25 = all_15_1_17
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (281,268) yields a new equation:
% 24.38/7.27 | (290) all_25_1_27 = all_19_1_21
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (287,268) yields a new equation:
% 24.38/7.27 | (291) all_25_1_27 = all_23_1_25
% 24.38/7.27 |
% 24.38/7.27 | Combining equations (291,290) yields a new equation:
% 24.38/7.27 | (292) all_23_1_25 = all_19_1_21
% 24.38/7.27 |
% 24.38/7.28 | Simplifying 292 yields:
% 24.38/7.28 | (293) all_23_1_25 = all_19_1_21
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (293,285) yields a new equation:
% 24.38/7.28 | (294) all_21_1_23 = all_19_1_21
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (282,285) yields a new equation:
% 24.38/7.28 | (295) all_21_1_23 = 0
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (289,285) yields a new equation:
% 24.38/7.28 | (296) all_21_1_23 = all_15_1_17
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (295,294) yields a new equation:
% 24.38/7.28 | (297) all_19_1_21 = 0
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (296,294) yields a new equation:
% 24.38/7.28 | (298) all_19_1_21 = all_15_1_17
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (297,298) yields a new equation:
% 24.38/7.28 | (299) all_15_1_17 = 0
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (299,298) yields a new equation:
% 24.38/7.28 | (297) all_19_1_21 = 0
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (297,271) yields a new equation:
% 24.38/7.28 | (301) all_33_1_35 = 0
% 24.38/7.28 |
% 24.38/7.28 | From (260) and (249) follows:
% 24.38/7.28 | (217) ssList(all_0_6_6) = all_17_1_19
% 24.38/7.28 |
% 24.38/7.28 | From (299) and (214) follows:
% 24.38/7.28 | (192) ssItem(all_0_8_8) = 0
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (215), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (304) ~ (all_15_1_17 = 0)
% 24.38/7.28 |
% 24.38/7.28 | Equations (299) can reduce 304 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (299) all_15_1_17 = 0
% 24.38/7.28 | (307) all_15_0_16 = all_0_10_10
% 24.38/7.28 |
% 24.38/7.28 | From (307) and (213) follows:
% 24.38/7.28 | (308) cons(all_0_8_8, all_0_5_5) = all_0_10_10
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (204), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (309) ~ (cons(all_0_8_8, nil) = nil)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (251), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (310) ~ (all_33_1_35 = 0)
% 24.38/7.28 |
% 24.38/7.28 | Equations (301) can reduce 310 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (301) all_33_1_35 = 0
% 24.38/7.28 | (313) all_33_0_34 = 0
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (313,260) yields a new equation:
% 24.38/7.28 | (314) all_17_1_19 = 0
% 24.38/7.28 |
% 24.38/7.28 | From (314) and (217) follows:
% 24.38/7.28 | (315) ssList(all_0_6_6) = 0
% 24.38/7.28 |
% 24.38/7.28 | Using (190) and (309) yields:
% 24.38/7.28 | (316) ~ (all_0_6_6 = nil)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (206), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (317) ~ (app(all_0_5_5, all_0_6_6) = nil)
% 24.38/7.28 |
% 24.38/7.28 | Using (186) and (317) yields:
% 24.38/7.28 | (154) ~ (all_0_11_11 = nil)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (61), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (155) ~ (all_0_10_10 = nil)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (10), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (152) all_0_10_10 = nil & ~ (all_0_11_11 = nil)
% 24.38/7.28 |
% 24.38/7.28 | Applying alpha-rule on (152) yields:
% 24.38/7.28 | (151) all_0_10_10 = nil
% 24.38/7.28 | (154) ~ (all_0_11_11 = nil)
% 24.38/7.28 |
% 24.38/7.28 | Equations (151) can reduce 155 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (160) all_0_11_11 = nil & ~ (all_0_10_10 = nil)
% 24.38/7.28 |
% 24.38/7.28 | Applying alpha-rule on (160) yields:
% 24.38/7.28 | (158) all_0_11_11 = nil
% 24.38/7.28 | (155) ~ (all_0_10_10 = nil)
% 24.38/7.28 |
% 24.38/7.28 | Equations (158) can reduce 154 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (151) all_0_10_10 = nil
% 24.38/7.28 | (158) all_0_11_11 = nil
% 24.38/7.28 |
% 24.38/7.28 | Equations (158) can reduce 154 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (331) app(all_0_5_5, all_0_6_6) = nil
% 24.38/7.28 | (332) all_0_6_6 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (207), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (317) ~ (app(all_0_5_5, all_0_6_6) = nil)
% 24.38/7.28 |
% 24.38/7.28 | Using (331) and (317) yields:
% 24.38/7.28 | (334) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (331) app(all_0_5_5, all_0_6_6) = nil
% 24.38/7.28 | (336) all_0_5_5 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (336), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (337) all_0_5_5 = nil
% 24.38/7.28 |
% 24.38/7.28 | From (337) and (308) follows:
% 24.38/7.28 | (338) cons(all_0_8_8, nil) = all_0_10_10
% 24.38/7.28 |
% 24.38/7.28 | From (337) and (186) follows:
% 24.38/7.28 | (339) app(nil, all_0_6_6) = all_0_11_11
% 24.38/7.28 |
% 24.38/7.28 | From (337) and (185) follows:
% 24.38/7.28 | (340) app(all_0_6_6, nil) = all_0_10_10
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (209), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (341) ~ (app(all_0_6_6, nil) = all_0_10_10)
% 24.38/7.28 |
% 24.38/7.28 | Using (340) and (341) yields:
% 24.38/7.28 | (334) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (340) app(all_0_6_6, nil) = all_0_10_10
% 24.38/7.28 | (344) ? [v0] : ? [v1] : (cons(all_0_8_8, nil) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (211), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (341) ~ (app(all_0_6_6, nil) = all_0_10_10)
% 24.38/7.28 |
% 24.38/7.28 | Using (340) and (341) yields:
% 24.38/7.28 | (334) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (340) app(all_0_6_6, nil) = all_0_10_10
% 24.38/7.28 | (348) all_0_6_6 = all_0_10_10 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (348), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (349) all_0_6_6 = all_0_10_10
% 24.38/7.28 |
% 24.38/7.28 | Equations (349) can reduce 316 to:
% 24.38/7.28 | (155) ~ (all_0_10_10 = nil)
% 24.38/7.28 |
% 24.38/7.28 | From (349) and (315) follows:
% 24.38/7.28 | (107) ssList(all_0_10_10) = 0
% 24.38/7.28 |
% 24.38/7.28 | From (349) and (339) follows:
% 24.38/7.28 | (352) app(nil, all_0_10_10) = all_0_11_11
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (208), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (353) ~ (app(nil, all_0_6_6) = all_0_11_11)
% 24.38/7.28 |
% 24.38/7.28 | From (349) and (353) follows:
% 24.38/7.28 | (354) ~ (app(nil, all_0_10_10) = all_0_11_11)
% 24.38/7.28 |
% 24.38/7.28 | Using (352) and (354) yields:
% 24.38/7.28 | (334) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (339) app(nil, all_0_6_6) = all_0_11_11
% 24.38/7.28 | (357) all_0_6_6 = all_0_11_11 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (357), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (358) all_0_6_6 = all_0_11_11
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (349,358) yields a new equation:
% 24.38/7.28 | (359) all_0_10_10 = all_0_11_11
% 24.38/7.28 |
% 24.38/7.28 | Simplifying 359 yields:
% 24.38/7.28 | (360) all_0_10_10 = all_0_11_11
% 24.38/7.28 |
% 24.38/7.28 | Equations (360) can reduce 155 to:
% 24.38/7.28 | (154) ~ (all_0_11_11 = nil)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (10), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (152) all_0_10_10 = nil & ~ (all_0_11_11 = nil)
% 24.38/7.28 |
% 24.38/7.28 | Applying alpha-rule on (152) yields:
% 24.38/7.28 | (151) all_0_10_10 = nil
% 24.38/7.28 | (154) ~ (all_0_11_11 = nil)
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (360,151) yields a new equation:
% 24.38/7.28 | (365) all_0_11_11 = nil
% 24.38/7.28 |
% 24.38/7.28 | Simplifying 365 yields:
% 24.38/7.28 | (158) all_0_11_11 = nil
% 24.38/7.28 |
% 24.38/7.28 | Equations (158) can reduce 154 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (160) all_0_11_11 = nil & ~ (all_0_10_10 = nil)
% 24.38/7.28 |
% 24.38/7.28 | Applying alpha-rule on (160) yields:
% 24.38/7.28 | (158) all_0_11_11 = nil
% 24.38/7.28 | (155) ~ (all_0_10_10 = nil)
% 24.38/7.28 |
% 24.38/7.28 | Equations (158) can reduce 154 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (372) ~ (all_0_6_6 = all_0_11_11)
% 24.38/7.28 | (373) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.28 |
% 24.38/7.28 | Instantiating (373) with all_129_0_42 yields:
% 24.38/7.28 | (374) ~ (all_129_0_42 = 0) & ssList(all_0_6_6) = all_129_0_42
% 24.38/7.28 |
% 24.38/7.28 | Applying alpha-rule on (374) yields:
% 24.38/7.28 | (375) ~ (all_129_0_42 = 0)
% 24.38/7.28 | (376) ssList(all_0_6_6) = all_129_0_42
% 24.38/7.28 |
% 24.38/7.28 | From (349) and (376) follows:
% 24.38/7.28 | (377) ssList(all_0_10_10) = all_129_0_42
% 24.38/7.28 |
% 24.38/7.28 | Instantiating formula (14) with all_0_10_10, all_129_0_42, 0 and discharging atoms ssList(all_0_10_10) = all_129_0_42, ssList(all_0_10_10) = 0, yields:
% 24.38/7.28 | (378) all_129_0_42 = 0
% 24.38/7.28 |
% 24.38/7.28 | Equations (378) can reduce 375 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (380) ~ (all_0_6_6 = all_0_10_10)
% 24.38/7.28 | (373) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.28 |
% 24.38/7.28 +-Applying beta-rule and splitting (261), into two cases.
% 24.38/7.28 |-Branch one:
% 24.38/7.28 | (382) ~ (cons(all_0_8_8, nil) = all_15_0_16)
% 24.38/7.28 |
% 24.38/7.28 | From (307) and (382) follows:
% 24.38/7.28 | (383) ~ (cons(all_0_8_8, nil) = all_0_10_10)
% 24.38/7.28 |
% 24.38/7.28 | Using (338) and (383) yields:
% 24.38/7.28 | (334) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.28 |-Branch two:
% 24.38/7.28 | (385) cons(all_0_8_8, nil) = all_15_0_16
% 24.38/7.28 | (386) all_15_0_16 = all_0_6_6
% 24.38/7.28 |
% 24.38/7.28 | Combining equations (307,386) yields a new equation:
% 24.38/7.28 | (349) all_0_6_6 = all_0_10_10
% 24.38/7.28 |
% 24.38/7.28 | Equations (349) can reduce 380 to:
% 24.38/7.28 | (156) $false
% 24.38/7.28 |
% 24.38/7.28 |-The branch is then unsatisfiable
% 24.38/7.29 |-Branch two:
% 24.38/7.29 | (389) ~ (all_0_5_5 = nil)
% 24.38/7.29 | (373) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_6_6) = v0)
% 24.38/7.29 |
% 24.38/7.29 | Instantiating (373) with all_107_0_46 yields:
% 24.38/7.29 | (391) ~ (all_107_0_46 = 0) & ssList(all_0_6_6) = all_107_0_46
% 24.38/7.29 |
% 24.38/7.29 | Applying alpha-rule on (391) yields:
% 24.38/7.29 | (392) ~ (all_107_0_46 = 0)
% 24.38/7.29 | (393) ssList(all_0_6_6) = all_107_0_46
% 24.38/7.29 |
% 24.38/7.29 | Instantiating formula (14) with all_0_6_6, all_107_0_46, 0 and discharging atoms ssList(all_0_6_6) = all_107_0_46, ssList(all_0_6_6) = 0, yields:
% 24.38/7.29 | (394) all_107_0_46 = 0
% 24.38/7.29 |
% 24.38/7.29 | Equations (394) can reduce 392 to:
% 24.38/7.29 | (156) $false
% 24.38/7.29 |
% 24.38/7.29 |-The branch is then unsatisfiable
% 24.38/7.29 |-Branch two:
% 24.38/7.29 | (396) cons(all_0_8_8, nil) = nil
% 24.38/7.29 | (397) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 24.38/7.29 |
% 24.38/7.29 | Instantiating (397) with all_59_0_49 yields:
% 24.38/7.29 | (398) ~ (all_59_0_49 = 0) & ssItem(all_0_8_8) = all_59_0_49
% 24.38/7.29 |
% 24.38/7.29 | Applying alpha-rule on (398) yields:
% 24.38/7.29 | (399) ~ (all_59_0_49 = 0)
% 24.38/7.29 | (400) ssItem(all_0_8_8) = all_59_0_49
% 24.38/7.29 |
% 24.38/7.29 | Instantiating formula (75) with all_0_8_8, all_59_0_49, 0 and discharging atoms ssItem(all_0_8_8) = all_59_0_49, ssItem(all_0_8_8) = 0, yields:
% 24.38/7.29 | (401) all_59_0_49 = 0
% 24.38/7.29 |
% 24.38/7.29 | Equations (401) can reduce 399 to:
% 24.38/7.29 | (156) $false
% 24.38/7.29 |
% 24.38/7.29 |-The branch is then unsatisfiable
% 24.38/7.29 % SZS output end Proof for theBenchmark
% 24.38/7.29
% 24.38/7.29 6657ms
%------------------------------------------------------------------------------