TSTP Solution File: SWC322+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC322+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 20:17:28 EDT 2022
% Result : Theorem 20.06s 6.48s
% Output : Proof 24.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWC322+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 09:09:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/0.60 ____ _
% 0.58/0.60 ___ / __ \_____(_)___ ________ __________
% 0.58/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.60
% 0.58/0.60 A Theorem Prover for First-Order Logic
% 0.58/0.60 (ePrincess v.1.0)
% 0.58/0.60
% 0.58/0.60 (c) Philipp Rümmer, 2009-2015
% 0.58/0.60 (c) Peter Backeman, 2014-2015
% 0.58/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.60 Bug reports to peter@backeman.se
% 0.58/0.60
% 0.58/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.60
% 0.58/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.37/1.11 Prover 0: Preprocessing ...
% 4.64/1.71 Prover 0: Constructing countermodel ...
% 17.94/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.58/6.11 Prover 1: Preprocessing ...
% 19.66/6.38 Prover 1: Constructing countermodel ...
% 20.06/6.48 Prover 1: proved (533ms)
% 20.06/6.48 Prover 0: stopped
% 20.06/6.48
% 20.06/6.48 No countermodel exists, formula is valid
% 20.06/6.48 % SZS status Theorem for theBenchmark
% 20.06/6.48
% 20.06/6.48 Generating proof ... found it (size 190)
% 23.58/7.22
% 23.58/7.22 % SZS output start Proof for theBenchmark
% 23.58/7.22 Assumed formulas after preprocessing and simplification:
% 23.58/7.22 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v10) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(nil) = v0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & ssItem(v11) = 0 & ssItem(v10) = 0 & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | ~ (strictorderedP(v12) = 0) | ~ (lt(v13, v14) = v15) | ~ (ssList(v16) = 0) | ~ (cons(v14, v20) = v21) | ~ (cons(v13, v17) = v18) | ~ (app(v19, v21) = v12) | ~ (app(v16, v18) = v19) | ~ (ssItem(v13) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v12) = v22) | ( ~ (v22 = 0) & ssItem(v14) = v22))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v15 = 0 | ~ (totalorderedP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssList(v16) = 0) | ~ (cons(v14, v20) = v21) | ~ (cons(v13, v17) = v18) | ~ (app(v19, v21) = v12) | ~ (app(v16, v18) = v19) | ~ (ssItem(v13) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v12) = v22) | ( ~ (v22 = 0) & ssItem(v14) = v22))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (duplicatefreeP(v12) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v13, v18) = v19) | ~ (cons(v13, v15) = v16) | ~ (app(v17, v19) = v12) | ~ (app(v14, v16) = v17) | ~ (ssItem(v13) = 0) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20) | ( ~ (v20 = 0) & ssList(v12) = v20))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (segmentP(v17, v13) = v18) | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v15, v16) = v17) | ~ (app(v14, v12) = v15) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v14) = v19) | ( ~ (v19 = 0) & ssList(v13) = v19))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v14 = v13 | ~ (equalelemsP(v12) = 0) | ~ (ssList(v15) = 0) | ~ (cons(v14, v16) = v17) | ~ (cons(v13, v17) = v18) | ~ (app(v15, v18) = v12) | ~ (ssItem(v14) = 0) | ~ (ssItem(v13) = 0) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v12) = v19))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (frontsegP(v15, v17) = v18) | ~ (cons(v13, v16) = v17) | ~ (cons(v12, v14) = v15) | ~ (ssItem(v13) = 0) | ~ (ssItem(v12) = 0) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & ssList(v14) = v19) | (frontsegP(v14, v16) = v20 & ssList(v16) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | ~ (v13 = v12) | v18 = 0) & ( ~ (v18 = 0) | (v20 = 0 & v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = 0 | ~ (segmentP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v16, v17) = v12) | ~ (app(v15, v13) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18) | ( ~ (v18 = 0) & ssList(v13) = v18))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = 0 | ~ (memberP(v12, v13) = v14) | ~ (ssList(v15) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v13, v16) = v17) | ~ (app(v15, v17) = v12) | ? [v18] : (( ~ (v18 = 0) & ssList(v16) = v18) | ( ~ (v18 = 0) & ssItem(v13) = v18))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (memberP(v16, v12) = v17) | ~ (memberP(v13, v12) = v14) | ~ (app(v13, v15) = v16) | ~ (ssItem(v12) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v13) = v18) | (memberP(v15, v12) = v19 & ssList(v15) = v18 & ( ~ (v18 = 0) | (( ~ (v17 = 0) | v19 = 0 | v14 = 0) & (v17 = 0 | ( ~ (v19 = 0) & ~ (v14 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v12) = 0) | ~ (cons(v15, v13) = v16) | ~ (app(v16, v12) = v17) | ~ (app(v13, v12) = v14) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v13) = v18) | (cons(v15, v14) = v19 & ssItem(v15) = v18 & ( ~ (v18 = 0) | v19 = v17)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (ssList(v13) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v16, v13) = v15) | ~ (cons(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssItem(v16) = v17) | ( ~ (v17 = 0) & ssItem(v14) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (rearsegP(v15, v13) = v16) | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v13) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (frontsegP(v15, v13) = v16) | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ~ (app(v12, v14) = v15) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssList(v13) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (ssList(v13) = 0) | ~ (ssList(v12) = 0) | ~ (cons(v16, v13) = v15) | ~ (cons(v14, v12) = v15) | ? [v17] : (( ~ (v17 = 0) & ssItem(v16) = v17) | ( ~ (v17 = 0) & ssItem(v14) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (memberP(v15, v12) = v16) | ~ (cons(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ~ (ssItem(v12) = 0) | ? [v17] : ? [v18] : (memberP(v14, v12) = v18 & ssList(v14) = v17 & ( ~ (v17 = 0) | (( ~ (v16 = 0) | v18 = 0 | v13 = v12) & (v16 = 0 | ( ~ (v18 = 0) & ~ (v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v12) = 0) | ~ (app(v14, v15) = v16) | ~ (app(v12, v13) = v14) | ? [v17] : ? [v18] : ? [v19] : (( ~ (v17 = 0) & ssList(v13) = v17) | (ssList(v15) = v17 & app(v13, v15) = v18 & app(v12, v18) = v19 & ( ~ (v17 = 0) | v19 = v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | v12 = nil | ~ (tl(v12) = v14) | ~ (hd(v12) = v13) | ~ (cons(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v12) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (ssList(v12) = 0) | ~ (app(v15, v13) = v14) | ~ (app(v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (ssList(v12) = 0) | ~ (app(v13, v15) = v14) | ~ (app(v13, v12) = v14) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v1 | ~ (cons(v12, nil) = v13) | ~ (app(v13, v14) = v15) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v12) = v16) | (ssList(v14) = v16 & app(v14, v13) = v17 & ( ~ (v17 = v2) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (gt(v12, v14) = v15) | ~ (gt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (gt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (geq(v12, v14) = v15) | ~ (geq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (geq(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (lt(v12, v14) = v15) | ~ (lt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (lt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (lt(v12, v14) = v15) | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (lt(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (leq(v12, v14) = v15) | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssItem(v13) = v16) | (leq(v13, v14) = v17 & ssItem(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v12, v14) = v15) | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (segmentP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v12, v14) = v15) | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (rearsegP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v12, v14) = v15) | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v13) = v16) | (frontsegP(v13, v14) = v17 & ssList(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (rearsegP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v15, v13) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (frontsegP(v12, v13) = v14) | ~ (ssList(v12) = 0) | ~ (app(v13, v15) = v12) | ? [v16] : (( ~ (v16 = 0) & ssList(v15) = v16) | ( ~ (v16 = 0) & ssList(v13) = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (gt(v15, v14) = v13) | ~ (gt(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (geq(v15, v14) = v13) | ~ (geq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (lt(v15, v14) = v13) | ~ (lt(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (leq(v15, v14) = v13) | ~ (leq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (segmentP(v15, v14) = v13) | ~ (segmentP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (rearsegP(v15, v14) = v13) | ~ (rearsegP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (frontsegP(v15, v14) = v13) | ~ (frontsegP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (memberP(v15, v14) = v13) | ~ (memberP(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (cons(v15, v14) = v13) | ~ (cons(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (app(v15, v14) = v13) | ~ (app(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (neq(v15, v14) = v13) | ~ (neq(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (tl(v12) = v13) | ~ (app(v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & ssList(v12) = v16) | (tl(v17) = v18 & ssList(v14) = v16 & app(v12, v14) = v17 & ( ~ (v16 = 0) | v18 = v15)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = nil | ~ (hd(v12) = v13) | ~ (app(v12, v14) = v15) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (hd(v15) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | v17 = v13)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (hd(v13) = v14) | ~ (lt(v12, v14) = v15) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (strictorderedP(v17) = v18 & strictorderedP(v13) = v19 & ssList(v13) = v16 & cons(v12, v13) = v17 & ( ~ (v16 = 0) | (( ~ (v18 = 0) | v13 = nil | (v19 = 0 & v15 = 0)) & (v18 = 0 | ( ~ (v13 = nil) & ( ~ (v19 = 0) | ~ (v15 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (hd(v13) = v14) | ~ (leq(v12, v14) = v15) | ~ (ssItem(v12) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (totalorderedP(v17) = v18 & totalorderedP(v13) = v19 & ssList(v13) = v16 & cons(v12, v13) = v17 & ( ~ (v16 = 0) | (( ~ (v18 = 0) | v13 = nil | (v19 = 0 & v15 = 0)) & (v18 = 0 | ( ~ (v13 = nil) & ( ~ (v19 = 0) | ~ (v15 = 0)))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (strictorderP(v12) = 0) | ~ (lt(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (lt(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | v15 = 0 | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (totalorderP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (leq(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | v15 = 0 | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (cyclefreeP(v12) = 0) | ~ (leq(v13, v14) = v15) | ~ (ssItem(v13) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & ssList(v12) = v16) | (leq(v14, v13) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (v17 = 0) | ~ (v15 = 0) | ~ (ssList(v18) = 0) | ~ (cons(v14, v22) = v23) | ~ (cons(v13, v19) = v20) | ~ (app(v21, v23) = v12) | ~ (app(v18, v20) = v21) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, nil) = v14) | ~ (app(v14, v12) = v15) | ? [v16] : ? [v17] : (cons(v13, v12) = v17 & ssItem(v13) = v16 & ( ~ (v16 = 0) | v17 = v15))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (lt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (ssList(v12) = 0) | ~ (neq(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & ssList(v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (neq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ( ~ (v15 = 0) & ssItem(v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (tl(v14) = v13) | ~ (tl(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (hd(v14) = v13) | ~ (hd(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (equalelemsP(v14) = v13) | ~ (equalelemsP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (duplicatefreeP(v14) = v13) | ~ (duplicatefreeP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (strictorderedP(v14) = v13) | ~ (strictorderedP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (totalorderedP(v14) = v13) | ~ (totalorderedP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (strictorderP(v14) = v13) | ~ (strictorderP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (totalorderP(v14) = v13) | ~ (totalorderP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (cyclefreeP(v14) = v13) | ~ (cyclefreeP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (singletonP(v14) = v13) | ~ (singletonP(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (ssList(v14) = v13) | ~ (ssList(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (ssItem(v14) = v13) | ~ (ssItem(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (singletonP(v12) = v13) | ~ (cons(v14, nil) = v12) | ? [v15] : (( ~ (v15 = 0) & ssList(v12) = v15) | ( ~ (v15 = 0) & ssItem(v14) = v15))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (gt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (lt(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0) & ( ~ (v14 = 0) | v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (geq(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v13, v12) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0) & ( ~ (v14 = 0) | v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (lt(v12, v13) = v14) | ~ (ssItem(v12) = 0) | ? [v15] : ? [v16] : (leq(v12, v13) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | v14 = 0 | v13 = v12) & ( ~ (v14 = 0) | (v16 = 0 & ~ (v13 = v12))))))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (tl(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = v12))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (hd(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = v13))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v14) | ? [v15] : ? [v16] : (ssList(v14) = v16 & ssItem(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ssList(v12) = 0) | ~ (app(v12, v13) = v14) | ? [v15] : ? [v16] : (ssList(v14) = v16 & ssList(v13) = v15 & ( ~ (v15 = 0) | v16 = 0))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (geq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (geq(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (leq(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (leq(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (segmentP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (rearsegP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : (frontsegP(v13, v12) = v15 & ssList(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (app(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = v12 | ~ (app(nil, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = nil | ~ (ssList(v12) = 0) | ~ (app(v12, v13) = nil) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (geq(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssItem(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (equalelemsP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = v12 & v21 = 0 & v19 = 0 & v17 = 0 & v15 = 0 & ~ (v16 = v14) & ssList(v20) = 0 & ssList(v18) = 0 & cons(v16, v20) = v22 & cons(v14, v22) = v23 & app(v18, v23) = v12 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (duplicatefreeP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = v12 & v25 = 0 & v21 = 0 & v19 = 0 & v17 = 0 & v16 = v14 & v15 = 0 & ssList(v24) = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v14, v24) = v26 & cons(v14, v20) = v22 & app(v23, v26) = v12 & app(v18, v22) = v23 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (strictorderedP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v12 & v26 = 0 & v22 = 0 & v20 = 0 & v17 = 0 & v15 = 0 & ~ (v18 = 0) & lt(v14, v16) = v18 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v16, v25) = v27 & cons(v14, v21) = v23 & app(v24, v27) = v12 & app(v19, v23) = v24 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (totalorderedP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v12 & v26 = 0 & v22 = 0 & v20 = 0 & v17 = 0 & v15 = 0 & ~ (v18 = 0) & leq(v14, v16) = v18 & ssList(v25) = 0 & ssList(v21) = 0 & ssList(v19) = 0 & cons(v16, v25) = v27 & cons(v14, v21) = v23 & app(v24, v27) = v12 & app(v19, v23) = v24 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (strictorderP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v17 = 0 & v15 = 0 & ~ (v19 = 0) & ~ (v18 = 0) & lt(v16, v14) = v19 & lt(v14, v16) = v18 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (totalorderP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v17 = 0 & v15 = 0 & ~ (v19 = 0) & ~ (v18 = 0) & leq(v16, v14) = v19 & leq(v14, v16) = v18 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (cyclefreeP(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v12 & v27 = 0 & v23 = 0 & v21 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & v15 = 0 & leq(v16, v14) = 0 & leq(v14, v16) = 0 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v14, v22) = v24 & app(v25, v28) = v12 & app(v20, v24) = v25 & ssItem(v16) = 0 & ssItem(v14) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssItem(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (segmentP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (segmentP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (rearsegP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (frontsegP(v12, nil) = v13) | ? [v14] : ( ~ (v14 = 0) & ssList(v12) = v14)) & ! [v12] : ! [v13] : (v12 = nil | ~ (tl(v12) = v13) | ? [v14] : ? [v15] : (ssList(v13) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : (v12 = nil | ~ (tl(v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = v13 & ssList(v13) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v12 = nil | ~ (hd(v12) = v13) | ? [v14] : ? [v15] : (ssList(v12) = v14 & ssItem(v13) = v15 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : (v12 = nil | ~ (hd(v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = v13 & ssItem(v13) = 0) | ( ~ (v14 = 0) & ssList(v12) = v14))) & ! [v12] : ! [v13] : (v12 = nil | ~ (ssList(v12) = 0) | ~ (app(v12, v13) = nil) | ? [v14] : ( ~ (v14 = 0) & ssList(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (gt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (gt(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : ( ~ (tl(v12) = v13) | ? [v14] : ? [v15] : (hd(v12) = v15 & ssList(v12) = v14 & ( ~ (v14 = 0) | ! [v16] : (v16 = v12 | v16 = nil | v12 = nil | ~ (tl(v16) = v13) | ? [v17] : ? [v18] : (hd(v16) = v18 & ssList(v16) = v17 & ( ~ (v18 = v15) | ~ (v17 = 0))))))) & ! [v12] : ! [v13] : ( ~ (lt(v12, v13) = 0) | ~ (ssItem(v12) = 0) | ? [v14] : ? [v15] : (lt(v13, v12) = v15 & ssItem(v13) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : ( ~ (segmentP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = v12 & v18 = 0 & v15 = 0 & ssList(v17) = 0 & ssList(v14) = 0 & app(v16, v17) = v12 & app(v14, v13) = v16) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (rearsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v12 & v15 = 0 & ssList(v14) = 0 & app(v14, v13) = v12) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (frontsegP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v12 & v15 = 0 & ssList(v14) = 0 & app(v13, v14) = v12) | ( ~ (v14 = 0) & ssList(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (memberP(v12, v13) = 0) | ~ (ssList(v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = v12 & v17 = 0 & v15 = 0 & ssList(v16) = 0 & ssList(v14) = 0 & cons(v13, v16) = v18 & app(v14, v18) = v12) | ( ~ (v14 = 0) & ssItem(v13) = v14))) & ! [v12] : ! [v13] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = v12) | ? [v14] : ( ~ (v14 = 0) & ssItem(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (ssList(v12) = 0) | ~ (cons(v13, v12) = nil) | ? [v14] : ( ~ (v14 = 0) & ssItem(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (equalelemsP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (duplicatefreeP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (strictorderedP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (totalorderedP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (strictorderP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (totalorderP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : ! [v13] : ( ~ (cons(v12, nil) = v13) | ? [v14] : ? [v15] : (cyclefreeP(v13) = v15 & ssItem(v12) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v12] : (v12 = nil | ~ (segmentP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (rearsegP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (frontsegP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssList(v12) = v13)) & ! [v12] : (v12 = nil | ~ (ssList(v12) = 0) | ? [v13] : ? [v14] : (ssList(v13) = 0 & cons(v14, v13) = v12 & ssItem(v14) = 0)) & ! [v12] : (v12 = nil | ~ (app(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (segmentP(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (rearsegP(nil, nil) = v12)) & ! [v12] : (v12 = 0 | ~ (frontsegP(nil, nil) = v12)) & ! [v12] : ( ~ (lt(v12, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v12] : ( ~ (singletonP(v12) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v12 & v14 = 0 & cons(v13, nil) = v12 & ssItem(v13) = 0) | ( ~ (v13 = 0) & ssList(v12) = v13))) & ! [v12] : ( ~ (memberP(nil, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & ssItem(v12) = v13)) & ! [v12] : ( ~ (ssList(v12) = 0) | ~ (neq(v12, v12) = 0)) & ! [v12] : ( ~ (neq(v12, v12) = 0) | ~ (ssItem(v12) = 0)) & ( ~ (v2 = nil) | v1 = nil) & ((v8 = v2 & v7 = 0 & v4 = 0 & ~ (v9 = v1) & ssList(v6) = 0 & cons(v3, nil) = v5 & app(v6, v5) = v2 & app(v5, v6) = v9 & ssItem(v3) = 0) | (v2 = nil & ~ (v1 = nil))))
% 23.99/7.31 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11 yields:
% 23.99/7.31 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_11_11 = 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_11_11 & ssList(all_0_9_9) = 0 & ssList(all_0_10_10) = 0 & ssList(nil) = 0 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_10_10 | ~ (cons(v0, nil) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v0) = v4) | (ssList(v2) = v4 & app(v2, v1) = v5 & ( ~ (v5 = all_0_9_9) | ~ (v4 = 0))))) & ! [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 = nil) | all_0_10_10 = nil) & ((all_0_3_3 = all_0_9_9 & all_0_4_4 = 0 & all_0_7_7 = 0 & ~ (all_0_2_2 = all_0_10_10) & 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_9_9 & app(all_0_6_6, all_0_5_5) = all_0_2_2 & ssItem(all_0_8_8) = 0) | (all_0_9_9 = nil & ~ (all_0_10_10 = nil)))
% 23.99/7.34 |
% 23.99/7.34 | Applying alpha-rule on (1) yields:
% 23.99/7.34 | (2) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 23.99/7.34 | (3) ! [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)))))))
% 23.99/7.34 | (4) ssList(all_0_9_9) = 0
% 23.99/7.34 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 23.99/7.34 | (6) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.99/7.34 | (7) ! [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)))))))
% 23.99/7.34 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 23.99/7.34 | (9) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.99/7.34 | (10) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 23.99/7.34 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 23.99/7.34 | (12) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.35 | (13) ! [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)))
% 23.99/7.35 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 23.99/7.35 | (15) ! [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)))
% 23.99/7.35 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 23.99/7.35 | (17) equalelemsP(nil) = 0
% 23.99/7.35 | (18) ! [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))))
% 23.99/7.35 | (19) ! [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)))))
% 23.99/7.35 | (20) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 23.99/7.35 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_10_10 | ~ (cons(v0, nil) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v0) = v4) | (ssList(v2) = v4 & app(v2, v1) = v5 & ( ~ (v5 = all_0_9_9) | ~ (v4 = 0)))))
% 23.99/7.35 | (22) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.35 | (23) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.99/7.35 | (24) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 23.99/7.35 | (25) ! [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)))
% 23.99/7.35 | (26) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.99/7.35 | (27) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.35 | (28) ! [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)))
% 23.99/7.35 | (29) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 23.99/7.35 | (30) ! [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)))
% 23.99/7.35 | (31) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.99/7.35 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 23.99/7.35 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 23.99/7.35 | (34) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 23.99/7.35 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10)))
% 23.99/7.35 | (36) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 23.99/7.35 | (37) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.35 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 23.99/7.35 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 23.99/7.35 | (40) ssItem(all_0_1_1) = 0
% 23.99/7.35 | (41) duplicatefreeP(nil) = 0
% 23.99/7.35 | (42) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 23.99/7.35 | (43) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.99/7.35 | (44) ! [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)))
% 23.99/7.35 | (45) ! [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)))
% 23.99/7.36 | (46) ! [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)))
% 23.99/7.36 | (47) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.99/7.36 | (48) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 23.99/7.36 | (49) ! [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))))))))
% 23.99/7.36 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 23.99/7.36 | (51) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.36 | (52) ! [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)))
% 23.99/7.36 | (53) ~ (all_0_11_11 = 0)
% 23.99/7.36 | (54) ! [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))))
% 23.99/7.36 | (55) ! [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)))))
% 23.99/7.36 | (56) ! [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)))))
% 23.99/7.36 | (57) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 23.99/7.36 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 23.99/7.36 | (59) ssList(nil) = 0
% 23.99/7.36 | (60) ! [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)))
% 23.99/7.36 | (61) ~ (all_0_9_9 = nil) | all_0_10_10 = nil
% 23.99/7.36 | (62) ! [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)))))))
% 23.99/7.36 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 23.99/7.36 | (64) ! [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))))))))
% 23.99/7.36 | (65) ! [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)))
% 23.99/7.36 | (66) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.99/7.36 | (67) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.99/7.36 | (68) totalorderedP(nil) = 0
% 23.99/7.36 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 23.99/7.36 | (70) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 23.99/7.36 | (71) ! [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)))))
% 23.99/7.36 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 23.99/7.36 | (73) ! [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))))))))
% 23.99/7.36 | (74) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 23.99/7.36 | (75) ! [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)))))))
% 23.99/7.36 | (76) (all_0_3_3 = all_0_9_9 & all_0_4_4 = 0 & all_0_7_7 = 0 & ~ (all_0_2_2 = all_0_10_10) & 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_9_9 & app(all_0_6_6, all_0_5_5) = all_0_2_2 & ssItem(all_0_8_8) = 0) | (all_0_9_9 = nil & ~ (all_0_10_10 = nil))
% 23.99/7.36 | (77) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.99/7.36 | (78) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 23.99/7.36 | (79) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 23.99/7.36 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 23.99/7.36 | (81) ! [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)))))))
% 23.99/7.36 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 23.99/7.36 | (83) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.99/7.36 | (84) singletonP(nil) = all_0_11_11
% 23.99/7.36 | (85) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 23.99/7.36 | (86) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.36 | (87) ssItem(all_0_0_0) = 0
% 23.99/7.36 | (88) ~ (all_0_0_0 = all_0_1_1)
% 23.99/7.36 | (89) totalorderP(nil) = 0
% 23.99/7.36 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 23.99/7.36 | (91) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 23.99/7.36 | (92) ! [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)))
% 23.99/7.36 | (93) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.99/7.36 | (94) ! [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)))))))
% 23.99/7.36 | (95) ! [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))))
% 23.99/7.36 | (96) ! [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)))
% 23.99/7.36 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 23.99/7.37 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 23.99/7.37 | (99) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.99/7.37 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 23.99/7.37 | (101) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 23.99/7.37 | (102) ! [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)))
% 23.99/7.37 | (103) ! [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)))
% 23.99/7.37 | (104) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 23.99/7.37 | (105) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 23.99/7.37 | (106) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 23.99/7.37 | (107) cyclefreeP(nil) = 0
% 23.99/7.37 | (108) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 23.99/7.37 | (109) ! [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)))
% 23.99/7.37 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 23.99/7.37 | (111) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 23.99/7.37 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 23.99/7.37 | (113) strictorderedP(nil) = 0
% 23.99/7.37 | (114) ! [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)))
% 23.99/7.37 | (115) ! [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)))))
% 23.99/7.37 | (116) strictorderP(nil) = 0
% 23.99/7.37 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 23.99/7.37 | (118) ! [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)))
% 23.99/7.37 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 23.99/7.37 | (120) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 23.99/7.37 | (121) ! [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)))))))
% 23.99/7.37 | (122) ! [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)))))
% 23.99/7.37 | (123) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 23.99/7.37 | (124) ! [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)))))
% 23.99/7.37 | (125) ! [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))))
% 23.99/7.37 | (126) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 23.99/7.37 | (127) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.37 | (128) ! [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)))
% 23.99/7.37 | (129) ! [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)))))
% 23.99/7.37 | (130) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 23.99/7.37 | (131) ! [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)))
% 23.99/7.37 | (132) ! [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)))
% 23.99/7.37 | (133) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.37 | (134) ! [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)))))
% 23.99/7.37 | (135) ! [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)))
% 23.99/7.37 | (136) ! [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)))
% 23.99/7.37 | (137) ! [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)))
% 23.99/7.37 | (138) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.99/7.37 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 23.99/7.37 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 23.99/7.37 | (141) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 23.99/7.37 | (142) ! [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))))
% 23.99/7.37 | (143) ssList(all_0_10_10) = 0
% 23.99/7.37 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 23.99/7.37 | (145) ! [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)))
% 23.99/7.37 | (146) ! [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)))
% 23.99/7.37 | (147) ! [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)))))
% 23.99/7.37 |
% 23.99/7.37 +-Applying beta-rule and splitting (61), into two cases.
% 23.99/7.37 |-Branch one:
% 23.99/7.37 | (148) ~ (all_0_9_9 = nil)
% 23.99/7.37 |
% 23.99/7.37 +-Applying beta-rule and splitting (76), into two cases.
% 23.99/7.37 |-Branch one:
% 23.99/7.37 | (149) all_0_3_3 = all_0_9_9 & all_0_4_4 = 0 & all_0_7_7 = 0 & ~ (all_0_2_2 = all_0_10_10) & 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_9_9 & app(all_0_6_6, all_0_5_5) = all_0_2_2 & ssItem(all_0_8_8) = 0
% 23.99/7.37 |
% 23.99/7.37 | Applying alpha-rule on (149) yields:
% 23.99/7.37 | (150) ~ (all_0_2_2 = all_0_10_10)
% 23.99/7.37 | (151) ssItem(all_0_8_8) = 0
% 23.99/7.37 | (152) cons(all_0_8_8, nil) = all_0_6_6
% 23.99/7.37 | (153) all_0_7_7 = 0
% 23.99/7.37 | (154) all_0_3_3 = all_0_9_9
% 23.99/7.37 | (155) app(all_0_5_5, all_0_6_6) = all_0_9_9
% 23.99/7.37 | (156) app(all_0_6_6, all_0_5_5) = all_0_2_2
% 23.99/7.37 | (157) all_0_4_4 = 0
% 23.99/7.37 | (158) ssList(all_0_5_5) = 0
% 23.99/7.37 |
% 23.99/7.37 | Instantiating formula (80) 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:
% 23.99/7.38 | (159) ? [v0] : ? [v1] : (tl(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (8) 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:
% 23.99/7.38 | (160) ? [v0] : ? [v1] : (hd(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (82) 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:
% 23.99/7.38 | (161) ? [v0] : ? [v1] : (ssList(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (51) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.99/7.38 | (162) ? [v0] : ? [v1] : (equalelemsP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (27) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.99/7.38 | (163) ? [v0] : ? [v1] : (duplicatefreeP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (22) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.99/7.38 | (164) ? [v0] : ? [v1] : (strictorderedP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (133) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.99/7.38 | (165) ? [v0] : ? [v1] : (totalorderedP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (138) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.99/7.38 | (166) ? [v0] : ? [v1] : (strictorderP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (12) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.99/7.38 | (167) ? [v0] : ? [v1] : (totalorderP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (86) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 23.99/7.38 | (168) ? [v0] : ? [v1] : (cyclefreeP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (136) with all_0_2_2, 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_2_2, yields:
% 23.99/7.38 | (169) ? [v0] : ? [v1] : (cons(all_0_8_8, all_0_5_5) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_2_2))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating formula (21) with all_0_2_2, all_0_5_5, all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, app(all_0_6_6, all_0_5_5) = all_0_2_2, yields:
% 23.99/7.38 | (170) all_0_2_2 = all_0_10_10 | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssItem(all_0_8_8) = v0) | (ssList(all_0_5_5) = v0 & app(all_0_5_5, all_0_6_6) = v1 & ( ~ (v1 = all_0_9_9) | ~ (v0 = 0))))
% 23.99/7.38 |
% 23.99/7.38 | Instantiating (169) with all_25_0_14, all_25_1_15 yields:
% 23.99/7.38 | (171) cons(all_0_8_8, all_0_5_5) = all_25_0_14 & ssItem(all_0_8_8) = all_25_1_15 & ( ~ (all_25_1_15 = 0) | all_25_0_14 = all_0_2_2)
% 23.99/7.38 |
% 23.99/7.38 | Applying alpha-rule on (171) yields:
% 23.99/7.38 | (172) cons(all_0_8_8, all_0_5_5) = all_25_0_14
% 23.99/7.38 | (173) ssItem(all_0_8_8) = all_25_1_15
% 23.99/7.38 | (174) ~ (all_25_1_15 = 0) | all_25_0_14 = all_0_2_2
% 23.99/7.38 |
% 23.99/7.38 | Instantiating (167) with all_27_0_16, all_27_1_17 yields:
% 23.99/7.38 | (175) totalorderP(all_0_6_6) = all_27_0_16 & ssItem(all_0_8_8) = all_27_1_17 & ( ~ (all_27_1_17 = 0) | all_27_0_16 = 0)
% 23.99/7.38 |
% 23.99/7.38 | Applying alpha-rule on (175) yields:
% 23.99/7.38 | (176) totalorderP(all_0_6_6) = all_27_0_16
% 23.99/7.38 | (177) ssItem(all_0_8_8) = all_27_1_17
% 23.99/7.38 | (178) ~ (all_27_1_17 = 0) | all_27_0_16 = 0
% 23.99/7.38 |
% 23.99/7.38 | Instantiating (165) with all_29_0_18, all_29_1_19 yields:
% 23.99/7.38 | (179) totalorderedP(all_0_6_6) = all_29_0_18 & ssItem(all_0_8_8) = all_29_1_19 & ( ~ (all_29_1_19 = 0) | all_29_0_18 = 0)
% 23.99/7.38 |
% 23.99/7.38 | Applying alpha-rule on (179) yields:
% 23.99/7.38 | (180) totalorderedP(all_0_6_6) = all_29_0_18
% 23.99/7.38 | (181) ssItem(all_0_8_8) = all_29_1_19
% 23.99/7.38 | (182) ~ (all_29_1_19 = 0) | all_29_0_18 = 0
% 23.99/7.38 |
% 23.99/7.38 | Instantiating (164) with all_31_0_20, all_31_1_21 yields:
% 23.99/7.38 | (183) strictorderedP(all_0_6_6) = all_31_0_20 & ssItem(all_0_8_8) = all_31_1_21 & ( ~ (all_31_1_21 = 0) | all_31_0_20 = 0)
% 23.99/7.38 |
% 23.99/7.38 | Applying alpha-rule on (183) yields:
% 23.99/7.38 | (184) strictorderedP(all_0_6_6) = all_31_0_20
% 23.99/7.38 | (185) ssItem(all_0_8_8) = all_31_1_21
% 23.99/7.38 | (186) ~ (all_31_1_21 = 0) | all_31_0_20 = 0
% 23.99/7.38 |
% 23.99/7.38 | Instantiating (166) with all_33_0_22, all_33_1_23 yields:
% 23.99/7.38 | (187) strictorderP(all_0_6_6) = all_33_0_22 & ssItem(all_0_8_8) = all_33_1_23 & ( ~ (all_33_1_23 = 0) | all_33_0_22 = 0)
% 23.99/7.38 |
% 23.99/7.38 | Applying alpha-rule on (187) yields:
% 23.99/7.38 | (188) strictorderP(all_0_6_6) = all_33_0_22
% 23.99/7.38 | (189) ssItem(all_0_8_8) = all_33_1_23
% 23.99/7.38 | (190) ~ (all_33_1_23 = 0) | all_33_0_22 = 0
% 23.99/7.38 |
% 23.99/7.38 | Instantiating (163) with all_35_0_24, all_35_1_25 yields:
% 23.99/7.38 | (191) duplicatefreeP(all_0_6_6) = all_35_0_24 & ssItem(all_0_8_8) = all_35_1_25 & ( ~ (all_35_1_25 = 0) | all_35_0_24 = 0)
% 23.99/7.38 |
% 23.99/7.38 | Applying alpha-rule on (191) yields:
% 23.99/7.38 | (192) duplicatefreeP(all_0_6_6) = all_35_0_24
% 23.99/7.38 | (193) ssItem(all_0_8_8) = all_35_1_25
% 23.99/7.38 | (194) ~ (all_35_1_25 = 0) | all_35_0_24 = 0
% 23.99/7.38 |
% 23.99/7.38 | Instantiating (162) with all_37_0_26, all_37_1_27 yields:
% 23.99/7.38 | (195) equalelemsP(all_0_6_6) = all_37_0_26 & ssItem(all_0_8_8) = all_37_1_27 & ( ~ (all_37_1_27 = 0) | all_37_0_26 = 0)
% 23.99/7.38 |
% 23.99/7.38 | Applying alpha-rule on (195) yields:
% 23.99/7.38 | (196) equalelemsP(all_0_6_6) = all_37_0_26
% 23.99/7.38 | (197) ssItem(all_0_8_8) = all_37_1_27
% 23.99/7.38 | (198) ~ (all_37_1_27 = 0) | all_37_0_26 = 0
% 23.99/7.38 |
% 24.36/7.38 | Instantiating (168) with all_43_0_32, all_43_1_33 yields:
% 24.36/7.38 | (199) cyclefreeP(all_0_6_6) = all_43_0_32 & ssItem(all_0_8_8) = all_43_1_33 & ( ~ (all_43_1_33 = 0) | all_43_0_32 = 0)
% 24.36/7.38 |
% 24.36/7.38 | Applying alpha-rule on (199) yields:
% 24.36/7.38 | (200) cyclefreeP(all_0_6_6) = all_43_0_32
% 24.36/7.38 | (201) ssItem(all_0_8_8) = all_43_1_33
% 24.36/7.38 | (202) ~ (all_43_1_33 = 0) | all_43_0_32 = 0
% 24.36/7.38 |
% 24.36/7.38 | Instantiating (161) with all_45_0_34, all_45_1_35 yields:
% 24.36/7.38 | (203) ssList(all_0_6_6) = all_45_0_34 & ssItem(all_0_8_8) = all_45_1_35 & ( ~ (all_45_1_35 = 0) | all_45_0_34 = 0)
% 24.36/7.38 |
% 24.36/7.38 | Applying alpha-rule on (203) yields:
% 24.36/7.38 | (204) ssList(all_0_6_6) = all_45_0_34
% 24.36/7.38 | (205) ssItem(all_0_8_8) = all_45_1_35
% 24.36/7.38 | (206) ~ (all_45_1_35 = 0) | all_45_0_34 = 0
% 24.36/7.38 |
% 24.36/7.38 | Instantiating (160) with all_49_0_38, all_49_1_39 yields:
% 24.36/7.38 | (207) hd(all_0_6_6) = all_49_0_38 & ssItem(all_0_8_8) = all_49_1_39 & ( ~ (all_49_1_39 = 0) | all_49_0_38 = all_0_8_8)
% 24.36/7.38 |
% 24.36/7.38 | Applying alpha-rule on (207) yields:
% 24.36/7.38 | (208) hd(all_0_6_6) = all_49_0_38
% 24.36/7.38 | (209) ssItem(all_0_8_8) = all_49_1_39
% 24.36/7.38 | (210) ~ (all_49_1_39 = 0) | all_49_0_38 = all_0_8_8
% 24.36/7.38 |
% 24.36/7.38 | Instantiating (159) with all_51_0_40, all_51_1_41 yields:
% 24.36/7.38 | (211) tl(all_0_6_6) = all_51_0_40 & ssItem(all_0_8_8) = all_51_1_41 & ( ~ (all_51_1_41 = 0) | all_51_0_40 = nil)
% 24.36/7.38 |
% 24.36/7.38 | Applying alpha-rule on (211) yields:
% 24.36/7.38 | (212) tl(all_0_6_6) = all_51_0_40
% 24.36/7.38 | (213) ssItem(all_0_8_8) = all_51_1_41
% 24.36/7.38 | (214) ~ (all_51_1_41 = 0) | all_51_0_40 = nil
% 24.36/7.38 |
% 24.36/7.38 +-Applying beta-rule and splitting (170), into two cases.
% 24.36/7.38 |-Branch one:
% 24.36/7.38 | (215) all_0_2_2 = all_0_10_10
% 24.36/7.38 |
% 24.36/7.38 | Equations (215) can reduce 150 to:
% 24.36/7.38 | (216) $false
% 24.36/7.38 |
% 24.36/7.38 |-The branch is then unsatisfiable
% 24.36/7.38 |-Branch two:
% 24.36/7.38 | (150) ~ (all_0_2_2 = all_0_10_10)
% 24.36/7.38 | (218) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssItem(all_0_8_8) = v0) | (ssList(all_0_5_5) = v0 & app(all_0_5_5, all_0_6_6) = v1 & ( ~ (v1 = all_0_9_9) | ~ (v0 = 0))))
% 24.36/7.38 |
% 24.36/7.38 | Instantiating (218) with all_57_0_42, all_57_1_43 yields:
% 24.36/7.38 | (219) ( ~ (all_57_1_43 = 0) & ssItem(all_0_8_8) = all_57_1_43) | (ssList(all_0_5_5) = all_57_1_43 & app(all_0_5_5, all_0_6_6) = all_57_0_42 & ( ~ (all_57_0_42 = all_0_9_9) | ~ (all_57_1_43 = 0)))
% 24.36/7.38 |
% 24.36/7.38 +-Applying beta-rule and splitting (219), into two cases.
% 24.36/7.38 |-Branch one:
% 24.36/7.38 | (220) ~ (all_57_1_43 = 0) & ssItem(all_0_8_8) = all_57_1_43
% 24.36/7.38 |
% 24.36/7.38 | Applying alpha-rule on (220) yields:
% 24.36/7.38 | (221) ~ (all_57_1_43 = 0)
% 24.36/7.38 | (222) ssItem(all_0_8_8) = all_57_1_43
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_49_1_39, 0 and discharging atoms ssItem(all_0_8_8) = all_49_1_39, ssItem(all_0_8_8) = 0, yields:
% 24.36/7.38 | (223) all_49_1_39 = 0
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_45_1_35, all_57_1_43 and discharging atoms ssItem(all_0_8_8) = all_57_1_43, ssItem(all_0_8_8) = all_45_1_35, yields:
% 24.36/7.38 | (224) all_57_1_43 = all_45_1_35
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_43_1_33, all_49_1_39 and discharging atoms ssItem(all_0_8_8) = all_49_1_39, ssItem(all_0_8_8) = all_43_1_33, yields:
% 24.36/7.38 | (225) all_49_1_39 = all_43_1_33
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_37_1_27, all_45_1_35 and discharging atoms ssItem(all_0_8_8) = all_45_1_35, ssItem(all_0_8_8) = all_37_1_27, yields:
% 24.36/7.38 | (226) all_45_1_35 = all_37_1_27
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_35_1_25, all_51_1_41 and discharging atoms ssItem(all_0_8_8) = all_51_1_41, ssItem(all_0_8_8) = all_35_1_25, yields:
% 24.36/7.38 | (227) all_51_1_41 = all_35_1_25
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_35_1_25, all_43_1_33 and discharging atoms ssItem(all_0_8_8) = all_43_1_33, ssItem(all_0_8_8) = all_35_1_25, yields:
% 24.36/7.38 | (228) all_43_1_33 = all_35_1_25
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_33_1_23, all_37_1_27 and discharging atoms ssItem(all_0_8_8) = all_37_1_27, ssItem(all_0_8_8) = all_33_1_23, yields:
% 24.36/7.38 | (229) all_37_1_27 = all_33_1_23
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_31_1_21, all_33_1_23 and discharging atoms ssItem(all_0_8_8) = all_33_1_23, ssItem(all_0_8_8) = all_31_1_21, yields:
% 24.36/7.38 | (230) all_33_1_23 = all_31_1_21
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_29_1_19, all_51_1_41 and discharging atoms ssItem(all_0_8_8) = all_51_1_41, ssItem(all_0_8_8) = all_29_1_19, yields:
% 24.36/7.38 | (231) all_51_1_41 = all_29_1_19
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_27_1_17, all_51_1_41 and discharging atoms ssItem(all_0_8_8) = all_51_1_41, ssItem(all_0_8_8) = all_27_1_17, yields:
% 24.36/7.38 | (232) all_51_1_41 = all_27_1_17
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_27_1_17, all_33_1_23 and discharging atoms ssItem(all_0_8_8) = all_33_1_23, ssItem(all_0_8_8) = all_27_1_17, yields:
% 24.36/7.38 | (233) all_33_1_23 = all_27_1_17
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (63) with all_0_8_8, all_25_1_15, all_57_1_43 and discharging atoms ssItem(all_0_8_8) = all_57_1_43, ssItem(all_0_8_8) = all_25_1_15, yields:
% 24.36/7.38 | (234) all_57_1_43 = all_25_1_15
% 24.36/7.38 |
% 24.36/7.39 | Combining equations (224,234) yields a new equation:
% 24.36/7.39 | (235) all_45_1_35 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 235 yields:
% 24.36/7.39 | (236) all_45_1_35 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (232,231) yields a new equation:
% 24.36/7.39 | (237) all_29_1_19 = all_27_1_17
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (227,231) yields a new equation:
% 24.36/7.39 | (238) all_35_1_25 = all_29_1_19
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 238 yields:
% 24.36/7.39 | (239) all_35_1_25 = all_29_1_19
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (225,223) yields a new equation:
% 24.36/7.39 | (240) all_43_1_33 = 0
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 240 yields:
% 24.36/7.39 | (241) all_43_1_33 = 0
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (226,236) yields a new equation:
% 24.36/7.39 | (242) all_37_1_27 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 242 yields:
% 24.36/7.39 | (243) all_37_1_27 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (228,241) yields a new equation:
% 24.36/7.39 | (244) all_35_1_25 = 0
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 244 yields:
% 24.36/7.39 | (245) all_35_1_25 = 0
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (229,243) yields a new equation:
% 24.36/7.39 | (246) all_33_1_23 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 246 yields:
% 24.36/7.39 | (247) all_33_1_23 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (239,245) yields a new equation:
% 24.36/7.39 | (248) all_29_1_19 = 0
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 248 yields:
% 24.36/7.39 | (249) all_29_1_19 = 0
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (233,230) yields a new equation:
% 24.36/7.39 | (250) all_31_1_21 = all_27_1_17
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (247,230) yields a new equation:
% 24.36/7.39 | (251) all_31_1_21 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (250,251) yields a new equation:
% 24.36/7.39 | (252) all_27_1_17 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 252 yields:
% 24.36/7.39 | (253) all_27_1_17 = all_25_1_15
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (237,249) yields a new equation:
% 24.36/7.39 | (254) all_27_1_17 = 0
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 254 yields:
% 24.36/7.39 | (255) all_27_1_17 = 0
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (253,255) yields a new equation:
% 24.36/7.39 | (256) all_25_1_15 = 0
% 24.36/7.39 |
% 24.36/7.39 | Simplifying 256 yields:
% 24.36/7.39 | (257) all_25_1_15 = 0
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (257,234) yields a new equation:
% 24.36/7.39 | (258) all_57_1_43 = 0
% 24.36/7.39 |
% 24.36/7.39 | Equations (258) can reduce 221 to:
% 24.36/7.39 | (216) $false
% 24.36/7.39 |
% 24.36/7.39 |-The branch is then unsatisfiable
% 24.36/7.39 |-Branch two:
% 24.36/7.39 | (260) ssList(all_0_5_5) = all_57_1_43 & app(all_0_5_5, all_0_6_6) = all_57_0_42 & ( ~ (all_57_0_42 = all_0_9_9) | ~ (all_57_1_43 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (260) yields:
% 24.36/7.39 | (261) ssList(all_0_5_5) = all_57_1_43
% 24.36/7.39 | (262) app(all_0_5_5, all_0_6_6) = all_57_0_42
% 24.36/7.39 | (263) ~ (all_57_0_42 = all_0_9_9) | ~ (all_57_1_43 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (100) with all_0_5_5, all_57_1_43, 0 and discharging atoms ssList(all_0_5_5) = all_57_1_43, ssList(all_0_5_5) = 0, yields:
% 24.36/7.39 | (258) all_57_1_43 = 0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (98) with all_0_5_5, all_0_6_6, all_57_0_42, all_0_9_9 and discharging atoms app(all_0_5_5, all_0_6_6) = all_57_0_42, app(all_0_5_5, all_0_6_6) = all_0_9_9, yields:
% 24.36/7.39 | (265) all_57_0_42 = all_0_9_9
% 24.36/7.39 |
% 24.36/7.39 +-Applying beta-rule and splitting (263), into two cases.
% 24.36/7.39 |-Branch one:
% 24.36/7.39 | (221) ~ (all_57_1_43 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Equations (258) can reduce 221 to:
% 24.36/7.39 | (216) $false
% 24.36/7.39 |
% 24.36/7.39 |-The branch is then unsatisfiable
% 24.36/7.39 |-Branch two:
% 24.36/7.39 | (258) all_57_1_43 = 0
% 24.36/7.39 | (269) ~ (all_57_0_42 = all_0_9_9)
% 24.36/7.39 |
% 24.36/7.39 | Equations (265) can reduce 269 to:
% 24.36/7.39 | (216) $false
% 24.36/7.39 |
% 24.36/7.39 |-The branch is then unsatisfiable
% 24.36/7.39 |-Branch two:
% 24.36/7.39 | (271) all_0_9_9 = nil & ~ (all_0_10_10 = nil)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (271) yields:
% 24.36/7.39 | (272) all_0_9_9 = nil
% 24.36/7.39 | (273) ~ (all_0_10_10 = nil)
% 24.36/7.39 |
% 24.36/7.39 | Equations (272) can reduce 148 to:
% 24.36/7.39 | (216) $false
% 24.36/7.39 |
% 24.36/7.39 |-The branch is then unsatisfiable
% 24.36/7.39 |-Branch two:
% 24.36/7.39 | (272) all_0_9_9 = nil
% 24.36/7.39 | (276) all_0_10_10 = nil
% 24.36/7.39 |
% 24.36/7.39 | From (276) and (143) follows:
% 24.36/7.39 | (59) ssList(nil) = 0
% 24.36/7.39 |
% 24.36/7.39 +-Applying beta-rule and splitting (76), into two cases.
% 24.36/7.39 |-Branch one:
% 24.36/7.39 | (149) all_0_3_3 = all_0_9_9 & all_0_4_4 = 0 & all_0_7_7 = 0 & ~ (all_0_2_2 = all_0_10_10) & 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_9_9 & app(all_0_6_6, all_0_5_5) = all_0_2_2 & ssItem(all_0_8_8) = 0
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (149) yields:
% 24.36/7.39 | (150) ~ (all_0_2_2 = all_0_10_10)
% 24.36/7.39 | (151) ssItem(all_0_8_8) = 0
% 24.36/7.39 | (152) cons(all_0_8_8, nil) = all_0_6_6
% 24.36/7.39 | (153) all_0_7_7 = 0
% 24.36/7.39 | (154) all_0_3_3 = all_0_9_9
% 24.36/7.39 | (155) app(all_0_5_5, all_0_6_6) = all_0_9_9
% 24.36/7.39 | (156) app(all_0_6_6, all_0_5_5) = all_0_2_2
% 24.36/7.39 | (157) all_0_4_4 = 0
% 24.36/7.39 | (158) ssList(all_0_5_5) = 0
% 24.36/7.39 |
% 24.36/7.39 | Equations (276) can reduce 150 to:
% 24.36/7.39 | (288) ~ (all_0_2_2 = nil)
% 24.36/7.39 |
% 24.36/7.39 | From (272) and (155) follows:
% 24.36/7.39 | (289) app(all_0_5_5, all_0_6_6) = nil
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (80) 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:
% 24.36/7.39 | (159) ? [v0] : ? [v1] : (tl(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (8) 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:
% 24.36/7.39 | (160) ? [v0] : ? [v1] : (hd(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (82) 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:
% 24.36/7.39 | (161) ? [v0] : ? [v1] : (ssList(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (51) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.36/7.39 | (162) ? [v0] : ? [v1] : (equalelemsP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (27) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.36/7.39 | (163) ? [v0] : ? [v1] : (duplicatefreeP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (22) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.36/7.39 | (164) ? [v0] : ? [v1] : (strictorderedP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (133) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.36/7.39 | (165) ? [v0] : ? [v1] : (totalorderedP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (138) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.36/7.39 | (166) ? [v0] : ? [v1] : (strictorderP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (12) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.36/7.39 | (167) ? [v0] : ? [v1] : (totalorderP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (86) with all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, yields:
% 24.36/7.39 | (168) ? [v0] : ? [v1] : (cyclefreeP(all_0_6_6) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (136) with all_0_2_2, 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_2_2, yields:
% 24.36/7.39 | (169) ? [v0] : ? [v1] : (cons(all_0_8_8, all_0_5_5) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_2_2))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (21) with all_0_2_2, all_0_5_5, all_0_6_6, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_6_6, app(all_0_6_6, all_0_5_5) = all_0_2_2, yields:
% 24.36/7.39 | (170) all_0_2_2 = all_0_10_10 | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssItem(all_0_8_8) = v0) | (ssList(all_0_5_5) = v0 & app(all_0_5_5, all_0_6_6) = v1 & ( ~ (v1 = all_0_9_9) | ~ (v0 = 0))))
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (169) with all_19_0_46, all_19_1_47 yields:
% 24.36/7.39 | (302) cons(all_0_8_8, all_0_5_5) = all_19_0_46 & ssItem(all_0_8_8) = all_19_1_47 & ( ~ (all_19_1_47 = 0) | all_19_0_46 = all_0_2_2)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (302) yields:
% 24.36/7.39 | (303) cons(all_0_8_8, all_0_5_5) = all_19_0_46
% 24.36/7.39 | (304) ssItem(all_0_8_8) = all_19_1_47
% 24.36/7.39 | (305) ~ (all_19_1_47 = 0) | all_19_0_46 = all_0_2_2
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (164) with all_23_0_50, all_23_1_51 yields:
% 24.36/7.39 | (306) strictorderedP(all_0_6_6) = all_23_0_50 & ssItem(all_0_8_8) = all_23_1_51 & ( ~ (all_23_1_51 = 0) | all_23_0_50 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (306) yields:
% 24.36/7.39 | (307) strictorderedP(all_0_6_6) = all_23_0_50
% 24.36/7.39 | (308) ssItem(all_0_8_8) = all_23_1_51
% 24.36/7.39 | (309) ~ (all_23_1_51 = 0) | all_23_0_50 = 0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (162) with all_25_0_52, all_25_1_53 yields:
% 24.36/7.39 | (310) equalelemsP(all_0_6_6) = all_25_0_52 & ssItem(all_0_8_8) = all_25_1_53 & ( ~ (all_25_1_53 = 0) | all_25_0_52 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (310) yields:
% 24.36/7.39 | (311) equalelemsP(all_0_6_6) = all_25_0_52
% 24.36/7.39 | (312) ssItem(all_0_8_8) = all_25_1_53
% 24.36/7.39 | (313) ~ (all_25_1_53 = 0) | all_25_0_52 = 0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (168) with all_27_0_54, all_27_1_55 yields:
% 24.36/7.39 | (314) cyclefreeP(all_0_6_6) = all_27_0_54 & ssItem(all_0_8_8) = all_27_1_55 & ( ~ (all_27_1_55 = 0) | all_27_0_54 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (314) yields:
% 24.36/7.39 | (315) cyclefreeP(all_0_6_6) = all_27_0_54
% 24.36/7.39 | (316) ssItem(all_0_8_8) = all_27_1_55
% 24.36/7.39 | (317) ~ (all_27_1_55 = 0) | all_27_0_54 = 0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (166) with all_29_0_56, all_29_1_57 yields:
% 24.36/7.39 | (318) strictorderP(all_0_6_6) = all_29_0_56 & ssItem(all_0_8_8) = all_29_1_57 & ( ~ (all_29_1_57 = 0) | all_29_0_56 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (318) yields:
% 24.36/7.39 | (319) strictorderP(all_0_6_6) = all_29_0_56
% 24.36/7.39 | (320) ssItem(all_0_8_8) = all_29_1_57
% 24.36/7.39 | (321) ~ (all_29_1_57 = 0) | all_29_0_56 = 0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (165) with all_31_0_58, all_31_1_59 yields:
% 24.36/7.39 | (322) totalorderedP(all_0_6_6) = all_31_0_58 & ssItem(all_0_8_8) = all_31_1_59 & ( ~ (all_31_1_59 = 0) | all_31_0_58 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (322) yields:
% 24.36/7.39 | (323) totalorderedP(all_0_6_6) = all_31_0_58
% 24.36/7.39 | (324) ssItem(all_0_8_8) = all_31_1_59
% 24.36/7.39 | (325) ~ (all_31_1_59 = 0) | all_31_0_58 = 0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (163) with all_33_0_60, all_33_1_61 yields:
% 24.36/7.39 | (326) duplicatefreeP(all_0_6_6) = all_33_0_60 & ssItem(all_0_8_8) = all_33_1_61 & ( ~ (all_33_1_61 = 0) | all_33_0_60 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (326) yields:
% 24.36/7.39 | (327) duplicatefreeP(all_0_6_6) = all_33_0_60
% 24.36/7.39 | (328) ssItem(all_0_8_8) = all_33_1_61
% 24.36/7.39 | (329) ~ (all_33_1_61 = 0) | all_33_0_60 = 0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (161) with all_35_0_62, all_35_1_63 yields:
% 24.36/7.39 | (330) ssList(all_0_6_6) = all_35_0_62 & ssItem(all_0_8_8) = all_35_1_63 & ( ~ (all_35_1_63 = 0) | all_35_0_62 = 0)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (330) yields:
% 24.36/7.39 | (331) ssList(all_0_6_6) = all_35_0_62
% 24.36/7.39 | (332) ssItem(all_0_8_8) = all_35_1_63
% 24.36/7.39 | (333) ~ (all_35_1_63 = 0) | all_35_0_62 = 0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (159) with all_37_0_64, all_37_1_65 yields:
% 24.36/7.39 | (334) tl(all_0_6_6) = all_37_0_64 & ssItem(all_0_8_8) = all_37_1_65 & ( ~ (all_37_1_65 = 0) | all_37_0_64 = nil)
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (334) yields:
% 24.36/7.39 | (335) tl(all_0_6_6) = all_37_0_64
% 24.36/7.39 | (336) ssItem(all_0_8_8) = all_37_1_65
% 24.36/7.39 | (337) ~ (all_37_1_65 = 0) | all_37_0_64 = nil
% 24.36/7.40 |
% 24.36/7.40 | Instantiating (167) with all_39_0_66, all_39_1_67 yields:
% 24.36/7.40 | (338) totalorderP(all_0_6_6) = all_39_0_66 & ssItem(all_0_8_8) = all_39_1_67 & ( ~ (all_39_1_67 = 0) | all_39_0_66 = 0)
% 24.36/7.40 |
% 24.36/7.40 | Applying alpha-rule on (338) yields:
% 24.36/7.40 | (339) totalorderP(all_0_6_6) = all_39_0_66
% 24.36/7.40 | (340) ssItem(all_0_8_8) = all_39_1_67
% 24.36/7.40 | (341) ~ (all_39_1_67 = 0) | all_39_0_66 = 0
% 24.36/7.40 |
% 24.36/7.40 | Instantiating (160) with all_41_0_68, all_41_1_69 yields:
% 24.36/7.40 | (342) hd(all_0_6_6) = all_41_0_68 & ssItem(all_0_8_8) = all_41_1_69 & ( ~ (all_41_1_69 = 0) | all_41_0_68 = all_0_8_8)
% 24.36/7.40 |
% 24.36/7.40 | Applying alpha-rule on (342) yields:
% 24.36/7.40 | (343) hd(all_0_6_6) = all_41_0_68
% 24.36/7.40 | (344) ssItem(all_0_8_8) = all_41_1_69
% 24.36/7.40 | (345) ~ (all_41_1_69 = 0) | all_41_0_68 = all_0_8_8
% 24.36/7.40 |
% 24.36/7.40 +-Applying beta-rule and splitting (170), into two cases.
% 24.36/7.40 |-Branch one:
% 24.36/7.40 | (215) all_0_2_2 = all_0_10_10
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (276,215) yields a new equation:
% 24.36/7.40 | (347) all_0_2_2 = nil
% 24.36/7.40 |
% 24.36/7.40 | Equations (347) can reduce 288 to:
% 24.36/7.40 | (216) $false
% 24.36/7.40 |
% 24.36/7.40 |-The branch is then unsatisfiable
% 24.36/7.40 |-Branch two:
% 24.36/7.40 | (150) ~ (all_0_2_2 = all_0_10_10)
% 24.36/7.40 | (218) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssItem(all_0_8_8) = v0) | (ssList(all_0_5_5) = v0 & app(all_0_5_5, all_0_6_6) = v1 & ( ~ (v1 = all_0_9_9) | ~ (v0 = 0))))
% 24.36/7.40 |
% 24.36/7.40 | Instantiating (218) with all_47_0_70, all_47_1_71 yields:
% 24.36/7.40 | (351) ( ~ (all_47_1_71 = 0) & ssItem(all_0_8_8) = all_47_1_71) | (ssList(all_0_5_5) = all_47_1_71 & app(all_0_5_5, all_0_6_6) = all_47_0_70 & ( ~ (all_47_0_70 = all_0_9_9) | ~ (all_47_1_71 = 0)))
% 24.36/7.40 |
% 24.36/7.40 +-Applying beta-rule and splitting (351), into two cases.
% 24.36/7.40 |-Branch one:
% 24.36/7.40 | (352) ~ (all_47_1_71 = 0) & ssItem(all_0_8_8) = all_47_1_71
% 24.36/7.40 |
% 24.36/7.40 | Applying alpha-rule on (352) yields:
% 24.36/7.40 | (353) ~ (all_47_1_71 = 0)
% 24.36/7.40 | (354) ssItem(all_0_8_8) = all_47_1_71
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_39_1_67, all_41_1_69 and discharging atoms ssItem(all_0_8_8) = all_41_1_69, ssItem(all_0_8_8) = all_39_1_67, yields:
% 24.36/7.40 | (355) all_41_1_69 = all_39_1_67
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_37_1_65, all_39_1_67 and discharging atoms ssItem(all_0_8_8) = all_39_1_67, ssItem(all_0_8_8) = all_37_1_65, yields:
% 24.36/7.40 | (356) all_39_1_67 = all_37_1_65
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_33_1_61, 0 and discharging atoms ssItem(all_0_8_8) = all_33_1_61, ssItem(all_0_8_8) = 0, yields:
% 24.36/7.40 | (357) all_33_1_61 = 0
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_31_1_59, all_37_1_65 and discharging atoms ssItem(all_0_8_8) = all_37_1_65, ssItem(all_0_8_8) = all_31_1_59, yields:
% 24.36/7.40 | (358) all_37_1_65 = all_31_1_59
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_31_1_59, all_35_1_63 and discharging atoms ssItem(all_0_8_8) = all_35_1_63, ssItem(all_0_8_8) = all_31_1_59, yields:
% 24.36/7.40 | (359) all_35_1_63 = all_31_1_59
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_29_1_57, all_37_1_65 and discharging atoms ssItem(all_0_8_8) = all_37_1_65, ssItem(all_0_8_8) = all_29_1_57, yields:
% 24.36/7.40 | (360) all_37_1_65 = all_29_1_57
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_27_1_55, all_41_1_69 and discharging atoms ssItem(all_0_8_8) = all_41_1_69, ssItem(all_0_8_8) = all_27_1_55, yields:
% 24.36/7.40 | (361) all_41_1_69 = all_27_1_55
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_25_1_53, all_47_1_71 and discharging atoms ssItem(all_0_8_8) = all_47_1_71, ssItem(all_0_8_8) = all_25_1_53, yields:
% 24.36/7.40 | (362) all_47_1_71 = all_25_1_53
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_25_1_53, all_39_1_67 and discharging atoms ssItem(all_0_8_8) = all_39_1_67, ssItem(all_0_8_8) = all_25_1_53, yields:
% 24.36/7.40 | (363) all_39_1_67 = all_25_1_53
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_25_1_53, all_33_1_61 and discharging atoms ssItem(all_0_8_8) = all_33_1_61, ssItem(all_0_8_8) = all_25_1_53, yields:
% 24.36/7.40 | (364) all_33_1_61 = all_25_1_53
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_23_1_51, all_35_1_63 and discharging atoms ssItem(all_0_8_8) = all_35_1_63, ssItem(all_0_8_8) = all_23_1_51, yields:
% 24.36/7.40 | (365) all_35_1_63 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (63) with all_0_8_8, all_19_1_47, all_47_1_71 and discharging atoms ssItem(all_0_8_8) = all_47_1_71, ssItem(all_0_8_8) = all_19_1_47, yields:
% 24.36/7.40 | (366) all_47_1_71 = all_19_1_47
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (362,366) yields a new equation:
% 24.36/7.40 | (367) all_25_1_53 = all_19_1_47
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 367 yields:
% 24.36/7.40 | (368) all_25_1_53 = all_19_1_47
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (355,361) yields a new equation:
% 24.36/7.40 | (369) all_39_1_67 = all_27_1_55
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 369 yields:
% 24.36/7.40 | (370) all_39_1_67 = all_27_1_55
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (363,370) yields a new equation:
% 24.36/7.40 | (371) all_27_1_55 = all_25_1_53
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (356,370) yields a new equation:
% 24.36/7.40 | (372) all_37_1_65 = all_27_1_55
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 372 yields:
% 24.36/7.40 | (373) all_37_1_65 = all_27_1_55
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (358,360) yields a new equation:
% 24.36/7.40 | (374) all_31_1_59 = all_29_1_57
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 374 yields:
% 24.36/7.40 | (375) all_31_1_59 = all_29_1_57
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (373,360) yields a new equation:
% 24.36/7.40 | (376) all_29_1_57 = all_27_1_55
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (359,365) yields a new equation:
% 24.36/7.40 | (377) all_31_1_59 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 377 yields:
% 24.36/7.40 | (378) all_31_1_59 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (364,357) yields a new equation:
% 24.36/7.40 | (379) all_25_1_53 = 0
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 379 yields:
% 24.36/7.40 | (380) all_25_1_53 = 0
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (375,378) yields a new equation:
% 24.36/7.40 | (381) all_29_1_57 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 381 yields:
% 24.36/7.40 | (382) all_29_1_57 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (376,382) yields a new equation:
% 24.36/7.40 | (383) all_27_1_55 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 383 yields:
% 24.36/7.40 | (384) all_27_1_55 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (371,384) yields a new equation:
% 24.36/7.40 | (385) all_25_1_53 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 385 yields:
% 24.36/7.40 | (386) all_25_1_53 = all_23_1_51
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (368,386) yields a new equation:
% 24.36/7.40 | (387) all_23_1_51 = all_19_1_47
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (380,386) yields a new equation:
% 24.36/7.40 | (388) all_23_1_51 = 0
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (387,388) yields a new equation:
% 24.36/7.40 | (389) all_19_1_47 = 0
% 24.36/7.40 |
% 24.36/7.40 | Simplifying 389 yields:
% 24.36/7.40 | (390) all_19_1_47 = 0
% 24.36/7.40 |
% 24.36/7.40 | Combining equations (390,366) yields a new equation:
% 24.36/7.40 | (391) all_47_1_71 = 0
% 24.36/7.40 |
% 24.36/7.40 | Equations (391) can reduce 353 to:
% 24.36/7.40 | (216) $false
% 24.36/7.40 |
% 24.36/7.40 |-The branch is then unsatisfiable
% 24.36/7.40 |-Branch two:
% 24.36/7.40 | (393) ssList(all_0_5_5) = all_47_1_71 & app(all_0_5_5, all_0_6_6) = all_47_0_70 & ( ~ (all_47_0_70 = all_0_9_9) | ~ (all_47_1_71 = 0))
% 24.36/7.40 |
% 24.36/7.40 | Applying alpha-rule on (393) yields:
% 24.36/7.40 | (394) ssList(all_0_5_5) = all_47_1_71
% 24.36/7.40 | (395) app(all_0_5_5, all_0_6_6) = all_47_0_70
% 24.36/7.40 | (396) ~ (all_47_0_70 = all_0_9_9) | ~ (all_47_1_71 = 0)
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (100) with all_0_5_5, all_47_1_71, 0 and discharging atoms ssList(all_0_5_5) = all_47_1_71, ssList(all_0_5_5) = 0, yields:
% 24.36/7.40 | (391) all_47_1_71 = 0
% 24.36/7.40 |
% 24.36/7.40 | Instantiating formula (98) with all_0_5_5, all_0_6_6, all_47_0_70, nil and discharging atoms app(all_0_5_5, all_0_6_6) = all_47_0_70, app(all_0_5_5, all_0_6_6) = nil, yields:
% 24.36/7.40 | (398) all_47_0_70 = nil
% 24.36/7.40 |
% 24.36/7.40 +-Applying beta-rule and splitting (396), into two cases.
% 24.36/7.40 |-Branch one:
% 24.36/7.40 | (353) ~ (all_47_1_71 = 0)
% 24.36/7.40 |
% 24.36/7.40 | Equations (391) can reduce 353 to:
% 24.36/7.40 | (216) $false
% 24.36/7.40 |
% 24.36/7.40 |-The branch is then unsatisfiable
% 24.36/7.40 |-Branch two:
% 24.36/7.40 | (391) all_47_1_71 = 0
% 24.36/7.40 | (402) ~ (all_47_0_70 = all_0_9_9)
% 24.36/7.40 |
% 24.36/7.40 | Equations (398,272) can reduce 402 to:
% 24.36/7.40 | (216) $false
% 24.36/7.40 |
% 24.36/7.40 |-The branch is then unsatisfiable
% 24.36/7.40 |-Branch two:
% 24.36/7.40 | (271) all_0_9_9 = nil & ~ (all_0_10_10 = nil)
% 24.36/7.40 |
% 24.36/7.40 | Applying alpha-rule on (271) yields:
% 24.36/7.40 | (272) all_0_9_9 = nil
% 24.36/7.40 | (273) ~ (all_0_10_10 = nil)
% 24.36/7.40 |
% 24.36/7.40 | Equations (276) can reduce 273 to:
% 24.36/7.40 | (216) $false
% 24.36/7.40 |
% 24.36/7.40 |-The branch is then unsatisfiable
% 24.36/7.40 % SZS output end Proof for theBenchmark
% 24.36/7.40
% 24.36/7.40 6789ms
%------------------------------------------------------------------------------