TSTP Solution File: SWC183+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC183+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:16:41 EDT 2022
% Result : Theorem 25.78s 7.85s
% Output : Proof 63.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC183+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 16:37:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.45/0.58 ____ _
% 0.45/0.58 ___ / __ \_____(_)___ ________ __________
% 0.45/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.45/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.45/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.45/0.58
% 0.45/0.58 A Theorem Prover for First-Order Logic
% 0.45/0.58 (ePrincess v.1.0)
% 0.45/0.58
% 0.45/0.58 (c) Philipp Rümmer, 2009-2015
% 0.45/0.58 (c) Peter Backeman, 2014-2015
% 0.45/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.45/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.45/0.58 Bug reports to peter@backeman.se
% 0.45/0.58
% 0.45/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.45/0.58
% 0.45/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.44/1.07 Prover 0: Preprocessing ...
% 4.42/1.66 Prover 0: Constructing countermodel ...
% 17.77/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.27/6.09 Prover 1: Preprocessing ...
% 19.97/6.41 Prover 1: Constructing countermodel ...
% 25.78/7.85 Prover 1: proved (1931ms)
% 25.78/7.85 Prover 0: stopped
% 25.78/7.85
% 25.78/7.85 No countermodel exists, formula is valid
% 25.78/7.85 % SZS status Theorem for theBenchmark
% 25.78/7.85
% 25.78/7.85 Generating proof ... found it (size 1509)
% 61.25/24.25
% 61.25/24.25 % SZS output start Proof for theBenchmark
% 61.25/24.25 Assumed formulas after preprocessing and simplification:
% 61.25/24.25 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = v14) & ~ (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 & memberP(v12, v7) = v13 & memberP(v9, v7) = v11 & ssList(v12) = 0 & ssList(v9) = 0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & cons(v7, nil) = v8 & app(v10, v12) = v1 & app(v9, v8) = v10 & ssItem(v15) = 0 & ssItem(v14) = 0 & ssItem(v7) = 0 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | ~ (strictorderedP(v16) = 0) | ~ (lt(v17, v18) = v19) | ~ (ssList(v20) = 0) | ~ (cons(v18, v24) = v25) | ~ (cons(v17, v21) = v22) | ~ (app(v23, v25) = v16) | ~ (app(v20, v22) = v23) | ~ (ssItem(v17) = 0) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26) | ( ~ (v26 = 0) & ssList(v16) = v26) | ( ~ (v26 = 0) & ssItem(v18) = v26))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | ~ (totalorderedP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssList(v20) = 0) | ~ (cons(v18, v24) = v25) | ~ (cons(v17, v21) = v22) | ~ (app(v23, v25) = v16) | ~ (app(v20, v22) = v23) | ~ (ssItem(v17) = 0) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26) | ( ~ (v26 = 0) & ssList(v16) = v26) | ( ~ (v26 = 0) & ssItem(v18) = v26))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (duplicatefreeP(v16) = 0) | ~ (ssList(v18) = 0) | ~ (cons(v17, v22) = v23) | ~ (cons(v17, v19) = v20) | ~ (app(v21, v23) = v16) | ~ (app(v18, v20) = v21) | ~ (ssItem(v17) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v16) = v24))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (segmentP(v21, v17) = v22) | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v19, v20) = v21) | ~ (app(v18, v16) = v19) | ? [v23] : (( ~ (v23 = 0) & ssList(v20) = v23) | ( ~ (v23 = 0) & ssList(v18) = v23) | ( ~ (v23 = 0) & ssList(v17) = v23))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v18 = v17 | ~ (equalelemsP(v16) = 0) | ~ (ssList(v19) = 0) | ~ (cons(v18, v20) = v21) | ~ (cons(v17, v21) = v22) | ~ (app(v19, v22) = v16) | ~ (ssItem(v18) = 0) | ~ (ssItem(v17) = 0) | ? [v23] : (( ~ (v23 = 0) & ssList(v20) = v23) | ( ~ (v23 = 0) & ssList(v16) = v23))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (frontsegP(v19, v21) = v22) | ~ (cons(v17, v20) = v21) | ~ (cons(v16, v18) = v19) | ~ (ssItem(v17) = 0) | ~ (ssItem(v16) = 0) | ? [v23] : ? [v24] : (( ~ (v23 = 0) & ssList(v18) = v23) | (frontsegP(v18, v20) = v24 & ssList(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | ~ (v17 = v16) | v22 = 0) & ( ~ (v22 = 0) | (v24 = 0 & v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = 0 | ~ (segmentP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v20, v21) = v16) | ~ (app(v19, v17) = v20) | ? [v22] : (( ~ (v22 = 0) & ssList(v21) = v22) | ( ~ (v22 = 0) & ssList(v19) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = 0 | ~ (memberP(v16, v17) = v18) | ~ (ssList(v19) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v17, v20) = v21) | ~ (app(v19, v21) = v16) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssItem(v17) = v22))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (memberP(v20, v16) = v21) | ~ (memberP(v17, v16) = v18) | ~ (app(v17, v19) = v20) | ~ (ssItem(v16) = 0) | ? [v22] : ? [v23] : (( ~ (v22 = 0) & ssList(v17) = v22) | (memberP(v19, v16) = v23 & ssList(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) | v23 = 0 | v18 = 0) & (v21 = 0 | ( ~ (v23 = 0) & ~ (v18 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (ssList(v16) = 0) | ~ (cons(v19, v17) = v20) | ~ (app(v20, v16) = v21) | ~ (app(v17, v16) = v18) | ? [v22] : ? [v23] : (( ~ (v22 = 0) & ssList(v17) = v22) | (cons(v19, v18) = v23 & ssItem(v19) = v22 & ( ~ (v22 = 0) | v23 = v21)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (ssList(v17) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v20, v17) = v19) | ~ (cons(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssItem(v20) = v21) | ( ~ (v21 = 0) & ssItem(v18) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (rearsegP(v19, v17) = v20) | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v17) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (frontsegP(v19, v17) = v20) | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ~ (app(v16, v18) = v19) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v17) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | ~ (ssList(v17) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v20, v17) = v19) | ~ (cons(v18, v16) = v19) | ? [v21] : (( ~ (v21 = 0) & ssItem(v20) = v21) | ( ~ (v21 = 0) & ssItem(v18) = v21))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (memberP(v19, v16) = v20) | ~ (cons(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ~ (ssItem(v16) = 0) | ? [v21] : ? [v22] : (memberP(v18, v16) = v22 & ssList(v18) = v21 & ( ~ (v21 = 0) | (( ~ (v20 = 0) | v22 = 0 | v17 = v16) & (v20 = 0 | ( ~ (v22 = 0) & ~ (v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (ssList(v16) = 0) | ~ (app(v18, v19) = v20) | ~ (app(v16, v17) = v18) | ? [v21] : ? [v22] : ? [v23] : (( ~ (v21 = 0) & ssList(v17) = v21) | (ssList(v19) = v21 & app(v17, v19) = v22 & app(v16, v22) = v23 & ( ~ (v21 = 0) | v23 = v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | v16 = nil | ~ (tl(v16) = v18) | ~ (hd(v16) = v17) | ~ (cons(v17, v18) = v19) | ? [v20] : ( ~ (v20 = 0) & ssList(v16) = v20)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | ~ (ssList(v16) = 0) | ~ (app(v19, v17) = v18) | ~ (app(v16, v17) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | ~ (ssList(v16) = 0) | ~ (app(v17, v19) = v18) | ~ (app(v17, v16) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (gt(v16, v18) = v19) | ~ (gt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (gt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (geq(v16, v18) = v19) | ~ (geq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (geq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (lt(v16, v18) = v19) | ~ (lt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (lt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (lt(v16, v18) = v19) | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (lt(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (leq(v16, v18) = v19) | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssItem(v17) = v20) | (leq(v17, v18) = v21 & ssItem(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (segmentP(v16, v18) = v19) | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (segmentP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (rearsegP(v16, v18) = v19) | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (rearsegP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (frontsegP(v16, v18) = v19) | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v17) = v20) | (frontsegP(v17, v18) = v21 & ssList(v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (rearsegP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v19, v17) = v16) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (frontsegP(v16, v17) = v18) | ~ (ssList(v16) = 0) | ~ (app(v17, v19) = v16) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (gt(v19, v18) = v17) | ~ (gt(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (geq(v19, v18) = v17) | ~ (geq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (lt(v19, v18) = v17) | ~ (lt(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (leq(v19, v18) = v17) | ~ (leq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (segmentP(v19, v18) = v17) | ~ (segmentP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (rearsegP(v19, v18) = v17) | ~ (rearsegP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (frontsegP(v19, v18) = v17) | ~ (frontsegP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (memberP(v19, v18) = v17) | ~ (memberP(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (cons(v19, v18) = v17) | ~ (cons(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (app(v19, v18) = v17) | ~ (app(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (neq(v19, v18) = v17) | ~ (neq(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = nil | ~ (tl(v16) = v17) | ~ (app(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (( ~ (v20 = 0) & ssList(v16) = v20) | (tl(v21) = v22 & ssList(v18) = v20 & app(v16, v18) = v21 & ( ~ (v20 = 0) | v22 = v19)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = nil | ~ (hd(v16) = v17) | ~ (app(v16, v18) = v19) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (hd(v19) = v21 & ssList(v18) = v20 & ( ~ (v20 = 0) | v21 = v17)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (hd(v17) = v18) | ~ (lt(v16, v18) = v19) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (strictorderedP(v21) = v22 & strictorderedP(v17) = v23 & ssList(v17) = v20 & cons(v16, v17) = v21 & ( ~ (v20 = 0) | (( ~ (v22 = 0) | v17 = nil | (v23 = 0 & v19 = 0)) & (v22 = 0 | ( ~ (v17 = nil) & ( ~ (v23 = 0) | ~ (v19 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (hd(v17) = v18) | ~ (leq(v16, v18) = v19) | ~ (ssItem(v16) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (totalorderedP(v21) = v22 & totalorderedP(v17) = v23 & ssList(v17) = v20 & cons(v16, v17) = v21 & ( ~ (v20 = 0) | (( ~ (v22 = 0) | v17 = nil | (v23 = 0 & v19 = 0)) & (v22 = 0 | ( ~ (v17 = nil) & ( ~ (v23 = 0) | ~ (v19 = 0)))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (strictorderP(v16) = 0) | ~ (lt(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (lt(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v21 = 0 | v19 = 0 | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (totalorderP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (leq(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v21 = 0 | v19 = 0 | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (cyclefreeP(v16) = 0) | ~ (leq(v17, v18) = v19) | ~ (ssItem(v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v16) = v20) | (leq(v18, v17) = v21 & ssItem(v18) = v20 & ( ~ (v20 = 0) | ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (v21 = 0) | ~ (v19 = 0) | ~ (ssList(v22) = 0) | ~ (cons(v18, v26) = v27) | ~ (cons(v17, v23) = v24) | ~ (app(v25, v27) = v16) | ~ (app(v22, v24) = v25) | ? [v28] : (( ~ (v28 = 0) & ssList(v26) = v28) | ( ~ (v28 = 0) & ssList(v23) = v28))))))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, nil) = v18) | ~ (app(v18, v16) = v19) | ? [v20] : ? [v21] : (cons(v17, v16) = v21 & ssItem(v17) = v20 & ( ~ (v20 = 0) | v21 = v19))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (lt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (ssList(v16) = 0) | ~ (neq(v16, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & ssList(v17) = v19)) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v17 = v16 | ~ (neq(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ( ~ (v19 = 0) & ssItem(v17) = v19)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (tl(v18) = v17) | ~ (tl(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (hd(v18) = v17) | ~ (hd(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (equalelemsP(v18) = v17) | ~ (equalelemsP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (duplicatefreeP(v18) = v17) | ~ (duplicatefreeP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (strictorderedP(v18) = v17) | ~ (strictorderedP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (totalorderedP(v18) = v17) | ~ (totalorderedP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (strictorderP(v18) = v17) | ~ (strictorderP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (totalorderP(v18) = v17) | ~ (totalorderP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (cyclefreeP(v18) = v17) | ~ (cyclefreeP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (singletonP(v18) = v17) | ~ (singletonP(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (ssList(v18) = v17) | ~ (ssList(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (ssItem(v18) = v17) | ~ (ssItem(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (singletonP(v16) = v17) | ~ (cons(v18, nil) = v16) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssItem(v18) = v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (gt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (lt(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0) & ( ~ (v18 = 0) | v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (geq(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v17, v16) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0) & ( ~ (v18 = 0) | v20 = 0))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (lt(v16, v17) = v18) | ~ (ssItem(v16) = 0) | ? [v19] : ? [v20] : (leq(v16, v17) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | (( ~ (v20 = 0) | v18 = 0 | v17 = v16) & ( ~ (v18 = 0) | (v20 = 0 & ~ (v17 = v16))))))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (tl(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = v16))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (hd(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = v17))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v18) | ? [v19] : ? [v20] : (ssList(v18) = v20 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v16) = 0) | ~ (app(v16, v17) = v18) | ? [v19] : ? [v20] : (ssList(v18) = v20 & ssList(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (geq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (geq(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (leq(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (leq(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (segmentP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (rearsegP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : (frontsegP(v17, v16) = v19 & ssList(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (app(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = v16 | ~ (app(nil, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = nil | ~ (ssList(v16) = 0) | ~ (app(v16, v17) = nil) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (geq(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssItem(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (equalelemsP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v28 = v16 & v25 = 0 & v23 = 0 & v21 = 0 & v19 = 0 & ~ (v20 = v18) & ssList(v24) = 0 & ssList(v22) = 0 & cons(v20, v24) = v26 & cons(v18, v26) = v27 & app(v22, v27) = v16 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (duplicatefreeP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v16 & v29 = 0 & v25 = 0 & v23 = 0 & v21 = 0 & v20 = v18 & v19 = 0 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v18, v24) = v26 & app(v27, v30) = v16 & app(v22, v26) = v27 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (strictorderedP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v16 & v30 = 0 & v26 = 0 & v24 = 0 & v21 = 0 & v19 = 0 & ~ (v22 = 0) & lt(v18, v20) = v22 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v20, v29) = v31 & cons(v18, v25) = v27 & app(v28, v31) = v16 & app(v23, v27) = v28 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (totalorderedP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v32 = v16 & v30 = 0 & v26 = 0 & v24 = 0 & v21 = 0 & v19 = 0 & ~ (v22 = 0) & leq(v18, v20) = v22 & ssList(v29) = 0 & ssList(v25) = 0 & ssList(v23) = 0 & cons(v20, v29) = v31 & cons(v18, v25) = v27 & app(v28, v31) = v16 & app(v23, v27) = v28 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (strictorderP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v21 = 0 & v19 = 0 & ~ (v23 = 0) & ~ (v22 = 0) & lt(v20, v18) = v23 & lt(v18, v20) = v22 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (totalorderP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v21 = 0 & v19 = 0 & ~ (v23 = 0) & ~ (v22 = 0) & leq(v20, v18) = v23 & leq(v18, v20) = v22 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (cyclefreeP(v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v33 = v16 & v31 = 0 & v27 = 0 & v25 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & v19 = 0 & leq(v20, v18) = 0 & leq(v18, v20) = 0 & ssList(v30) = 0 & ssList(v26) = 0 & ssList(v24) = 0 & cons(v20, v30) = v32 & cons(v18, v26) = v28 & app(v29, v32) = v16 & app(v24, v28) = v29 & ssItem(v20) = 0 & ssItem(v18) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (leq(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssItem(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v16, nil) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v16) = v18)) & ! [v16] : ! [v17] : (v16 = nil | ~ (tl(v16) = v17) | ? [v18] : ? [v19] : (ssList(v17) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : (v16 = nil | ~ (tl(v16) = v17) | ? [v18] : ? [v19] : ((v19 = 0 & v18 = v17 & ssList(v17) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v16 = nil | ~ (hd(v16) = v17) | ? [v18] : ? [v19] : (ssList(v16) = v18 & ssItem(v17) = v19 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : (v16 = nil | ~ (hd(v16) = v17) | ? [v18] : ? [v19] : ((v19 = 0 & v18 = v17 & ssItem(v17) = 0) | ( ~ (v18 = 0) & ssList(v16) = v18))) & ! [v16] : ! [v17] : (v16 = nil | ~ (ssList(v16) = 0) | ~ (app(v16, v17) = nil) | ? [v18] : ( ~ (v18 = 0) & ssList(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (gt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (gt(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : ( ~ (tl(v16) = v17) | ? [v18] : ? [v19] : (hd(v16) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : (v20 = v16 | v20 = nil | v16 = nil | ~ (tl(v20) = v17) | ? [v21] : ? [v22] : (hd(v20) = v22 & ssList(v20) = v21 & ( ~ (v22 = v19) | ~ (v21 = 0))))))) & ! [v16] : ! [v17] : ( ~ (lt(v16, v17) = 0) | ~ (ssItem(v16) = 0) | ? [v18] : ? [v19] : (lt(v17, v16) = v19 & ssItem(v17) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : ( ~ (segmentP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v16 & v22 = 0 & v19 = 0 & ssList(v21) = 0 & ssList(v18) = 0 & app(v20, v21) = v16 & app(v18, v17) = v20) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (rearsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = v16 & v19 = 0 & ssList(v18) = 0 & app(v18, v17) = v16) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (frontsegP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = v16 & v19 = 0 & ssList(v18) = 0 & app(v17, v18) = v16) | ( ~ (v18 = 0) & ssList(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (memberP(v16, v17) = 0) | ~ (ssList(v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v16 & v21 = 0 & v19 = 0 & ssList(v20) = 0 & ssList(v18) = 0 & cons(v17, v20) = v22 & app(v18, v22) = v16) | ( ~ (v18 = 0) & ssItem(v17) = v18))) & ! [v16] : ! [v17] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = v16) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (ssList(v16) = 0) | ~ (cons(v17, v16) = nil) | ? [v18] : ( ~ (v18 = 0) & ssItem(v17) = v18)) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (equalelemsP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (duplicatefreeP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (strictorderedP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (totalorderedP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (strictorderP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (totalorderP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (cons(v16, nil) = v17) | ? [v18] : ? [v19] : (cyclefreeP(v17) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : (v16 = nil | ~ (segmentP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (rearsegP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (frontsegP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssList(v16) = v17)) & ! [v16] : (v16 = nil | ~ (ssList(v16) = 0) | ? [v17] : ? [v18] : (ssList(v17) = 0 & cons(v18, v17) = v16 & ssItem(v18) = 0)) & ! [v16] : (v16 = nil | ~ (app(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (segmentP(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (rearsegP(nil, nil) = v16)) & ! [v16] : (v16 = 0 | ~ (frontsegP(nil, nil) = v16)) & ! [v16] : ( ~ (lt(v16, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssItem(v16) = v17)) & ! [v16] : ( ~ (singletonP(v16) = 0) | ? [v17] : ? [v18] : ? [v19] : ((v19 = v16 & v18 = 0 & cons(v17, nil) = v16 & ssItem(v17) = 0) | ( ~ (v17 = 0) & ssList(v16) = v17))) & ! [v16] : ( ~ (memberP(nil, v16) = 0) | ? [v17] : ( ~ (v17 = 0) & ssItem(v16) = v17)) & ! [v16] : ( ~ (ssList(v16) = 0) | ~ (neq(v16, v16) = 0)) & ! [v16] : ( ~ (neq(v16, v16) = 0) | ~ (ssItem(v16) = 0)) & (v13 = 0 | v11 = 0) & ((v6 = 0 & v5 = v1 & v4 = 0 & memberP(v2, v3) = 0 & cons(v3, nil) = v1 & ssItem(v3) = 0 & ! [v16] : (v16 = v3 | ~ (memberP(v2, v16) = 0) | ? [v17] : ? [v18] : (leq(v3, v16) = v18 & ssItem(v16) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) | (v2 = nil & v1 = nil)))
% 61.73/24.36 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15 yields:
% 61.73/24.36 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_15_15 = 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_15_15 & memberP(all_0_3_3, all_0_8_8) = all_0_2_2 & memberP(all_0_6_6, all_0_8_8) = all_0_4_4 & ssList(all_0_3_3) = 0 & ssList(all_0_6_6) = 0 & ssList(all_0_13_13) = 0 & ssList(all_0_14_14) = 0 & ssList(nil) = 0 & cons(all_0_8_8, nil) = all_0_7_7 & app(all_0_5_5, all_0_3_3) = all_0_14_14 & app(all_0_6_6, all_0_7_7) = all_0_5_5 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ssItem(all_0_8_8) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (strictorderedP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v3 = 0 | ~ (totalorderedP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssList(v4) = 0) | ~ (cons(v2, v8) = v9) | ~ (cons(v1, v5) = v6) | ~ (app(v7, v9) = v0) | ~ (app(v4, v6) = v7) | ~ (ssItem(v1) = 0) | ? [v10] : (( ~ (v10 = 0) & ssList(v8) = v10) | ( ~ (v10 = 0) & ssList(v5) = v10) | ( ~ (v10 = 0) & ssList(v0) = v10) | ( ~ (v10 = 0) & ssItem(v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (duplicatefreeP(v0) = 0) | ~ (ssList(v2) = 0) | ~ (cons(v1, v6) = v7) | ~ (cons(v1, v3) = v4) | ~ (app(v5, v7) = v0) | ~ (app(v2, v4) = v5) | ~ (ssItem(v1) = 0) | ? [v8] : (( ~ (v8 = 0) & ssList(v6) = v8) | ( ~ (v8 = 0) & ssList(v3) = v8) | ( ~ (v8 = 0) & ssList(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (segmentP(v5, v1) = v6) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v3, v4) = v5) | ~ (app(v2, v0) = v3) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v2) = v7) | ( ~ (v7 = 0) & ssList(v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (equalelemsP(v0) = 0) | ~ (ssList(v3) = 0) | ~ (cons(v2, v4) = v5) | ~ (cons(v1, v5) = v6) | ~ (app(v3, v6) = v0) | ~ (ssItem(v2) = 0) | ~ (ssItem(v1) = 0) | ? [v7] : (( ~ (v7 = 0) & ssList(v4) = v7) | ( ~ (v7 = 0) & ssList(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (frontsegP(v3, v5) = v6) | ~ (cons(v1, v4) = v5) | ~ (cons(v0, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & ssList(v2) = v7) | (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (segmentP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v4, v5) = v0) | ~ (app(v3, v1) = v4) | ? [v6] : (( ~ (v6 = 0) & ssList(v5) = v6) | ( ~ (v6 = 0) & ssList(v3) = v6) | ( ~ (v6 = 0) & ssList(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = 0 | ~ (memberP(v0, v1) = v2) | ~ (ssList(v3) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v1, v4) = v5) | ~ (app(v3, v5) = v0) | ? [v6] : (( ~ (v6 = 0) & ssList(v4) = v6) | ( ~ (v6 = 0) & ssItem(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v1) = v4) | ~ (app(v4, v0) = v5) | ~ (app(v1, v0) = v2) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (cons(v3, v2) = v7 & ssItem(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (rearsegP(v3, v1) = v4) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (frontsegP(v3, v1) = v4) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ~ (app(v0, v2) = v3) | ? [v5] : (( ~ (v5 = 0) & ssList(v2) = v5) | ( ~ (v5 = 0) & ssList(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ssList(v1) = 0) | ~ (ssList(v0) = 0) | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ? [v5] : (( ~ (v5 = 0) & ssItem(v4) = v5) | ( ~ (v5 = 0) & ssItem(v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (memberP(v3, v0) = v4) | ~ (cons(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ~ (ssItem(v0) = 0) | ? [v5] : ? [v6] : (memberP(v2, v0) = v6 & ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = 0 | v1 = v0) & (v4 = 0 | ( ~ (v6 = 0) & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (ssList(v3) = v5 & app(v1, v3) = v6 & app(v0, v6) = v7 & ( ~ (v5 = 0) | v7 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v2) | ~ (app(v0, v1) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v2) | ~ (app(v1, v0) = v2) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (gt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (geq(v0, v2) = v3) | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (geq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (lt(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (lt(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssItem(v1) = v4) | (leq(v1, v2) = v5 & ssItem(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (segmentP(v0, v2) = v3) | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (segmentP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (rearsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v3, v1) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (frontsegP(v0, v1) = v2) | ~ (ssList(v0) = 0) | ~ (app(v1, v3) = v0) | ? [v4] : (( ~ (v4 = 0) & ssList(v3) = v4) | ( ~ (v4 = 0) & ssList(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (hd(v0) = v1) | ~ (app(v0, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (hd(v3) = v5 & ssList(v2) = v4 & ( ~ (v4 = 0) | v5 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (lt(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (strictorderedP(v5) = v6 & strictorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hd(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ (ssItem(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (totalorderedP(v5) = v6 & totalorderedP(v1) = v7 & ssList(v1) = v4 & cons(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v1 = nil | (v7 = 0 & v3 = 0)) & (v6 = 0 | ( ~ (v1 = nil) & ( ~ (v7 = 0) | ~ (v3 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (strictorderP(v0) = 0) | ~ (lt(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (lt(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (totalorderP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v5 = 0 | v3 = 0 | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cyclefreeP(v0) = 0) | ~ (leq(v1, v2) = v3) | ~ (ssItem(v1) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v0) = v4) | (leq(v2, v1) = v5 & ssItem(v2) = v4 & ( ~ (v4 = 0) | ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (ssList(v6) = 0) | ~ (cons(v2, v10) = v11) | ~ (cons(v1, v7) = v8) | ~ (app(v9, v11) = v0) | ~ (app(v6, v8) = v9) | ? [v12] : (( ~ (v12 = 0) & ssList(v10) = v12) | ( ~ (v12 = 0) & ssList(v7) = v12))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, nil) = v2) | ~ (app(v2, v0) = v3) | ? [v4] : ? [v5] : (cons(v1, v0) = v5 & ssItem(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (lt(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (geq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v1, v0) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0 | v1 = v0) & ( ~ (v2 = 0) | (v4 = 0 & ~ (v1 = v0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equalelemsP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = v0 & v9 = 0 & v7 = 0 & v5 = 0 & v3 = 0 & ~ (v4 = v2) & ssList(v8) = 0 & ssList(v6) = 0 & cons(v4, v8) = v10 & cons(v2, v10) = v11 & app(v6, v11) = v0 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (duplicatefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = v0 & v13 = 0 & v9 = 0 & v7 = 0 & v5 = 0 & v4 = v2 & v3 = 0 & ssList(v12) = 0 & ssList(v8) = 0 & ssList(v6) = 0 & cons(v2, v12) = v14 & cons(v2, v8) = v10 & app(v11, v14) = v0 & app(v6, v10) = v11 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & lt(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderedP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = v0 & v14 = 0 & v10 = 0 & v8 = 0 & v5 = 0 & v3 = 0 & ~ (v6 = 0) & leq(v2, v4) = v6 & ssList(v13) = 0 & ssList(v9) = 0 & ssList(v7) = 0 & cons(v4, v13) = v15 & cons(v2, v9) = v11 & app(v12, v15) = v0 & app(v7, v11) = v12 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (strictorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & lt(v4, v2) = v7 & lt(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (totalorderP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v5 = 0 & v3 = 0 & ~ (v7 = 0) & ~ (v6 = 0) & leq(v4, v2) = v7 & leq(v2, v4) = v6 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cyclefreeP(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v0 & v15 = 0 & v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v3 = 0 & leq(v4, v2) = 0 & leq(v2, v4) = 0 & ssList(v14) = 0 & ssList(v10) = 0 & ssList(v8) = 0 & cons(v4, v14) = v16 & cons(v2, v10) = v12 & app(v13, v16) = v0 & app(v8, v12) = v13 & ssItem(v4) = 0 & ssItem(v2) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2)) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2))) & ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0))))))) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v6 = 0 & v3 = 0 & ssList(v5) = 0 & ssList(v2) = 0 & app(v4, v5) = v0 & app(v2, v1) = v4) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v1, v2) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (memberP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = v0 & v5 = 0 & v3 = 0 & ssList(v4) = 0 & ssList(v2) = 0 & cons(v1, v4) = v6 & app(v2, v6) = v0) | ( ~ (v2 = 0) & ssItem(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1)) & ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0)) & ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0)) & ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0)) & ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1))) & ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1)) & ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0)) & ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0)) & (all_0_2_2 = 0 | all_0_4_4 = 0) & ((all_0_9_9 = 0 & all_0_10_10 = all_0_14_14 & all_0_11_11 = 0 & memberP(all_0_13_13, all_0_12_12) = 0 & cons(all_0_12_12, nil) = all_0_14_14 & ssItem(all_0_12_12) = 0 & ! [v0] : (v0 = all_0_12_12 | ~ (memberP(all_0_13_13, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_12_12, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_13_13 = nil & all_0_14_14 = nil))
% 61.73/24.40 |
% 61.73/24.40 | Applying alpha-rule on (1) yields:
% 61.73/24.40 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 61.73/24.40 | (3) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 61.73/24.40 | (4) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 61.73/24.40 | (5) duplicatefreeP(nil) = 0
% 61.73/24.40 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 61.73/24.40 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 61.73/24.40 | (8) ! [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)))))))
% 61.73/24.40 | (9) ! [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)))
% 61.73/24.40 | (10) ! [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)))))
% 61.73/24.40 | (11) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 61.73/24.40 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 61.73/24.40 | (13) ! [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)))
% 61.73/24.40 | (14) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 61.73/24.40 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 61.73/24.40 | (16) ! [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)))))
% 61.73/24.40 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 61.73/24.40 | (18) ! [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)))
% 61.73/24.40 | (19) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 61.73/24.40 | (20) strictorderedP(nil) = 0
% 61.73/24.40 | (21) ! [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)))
% 61.73/24.41 | (22) ! [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)))
% 61.73/24.41 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 61.73/24.41 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 61.73/24.41 | (25) ! [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))))))))
% 61.73/24.41 | (26) ! [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)))
% 61.73/24.41 | (27) ! [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)))))
% 61.73/24.41 | (28) ! [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))))))))
% 61.73/24.41 | (29) app(all_0_5_5, all_0_3_3) = all_0_14_14
% 61.73/24.41 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 61.73/24.41 | (31) strictorderP(nil) = 0
% 61.73/24.41 | (32) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 61.73/24.41 | (33) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 61.73/24.41 | (34) ! [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)))))))
% 61.73/24.41 | (35) ! [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)))
% 61.73/24.41 | (36) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 61.73/24.41 | (37) totalorderP(nil) = 0
% 61.73/24.41 | (38) ! [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)))))
% 61.73/24.41 | (39) ! [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)))
% 61.73/24.41 | (40) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 61.73/24.41 | (41) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 61.73/24.41 | (42) ! [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)))
% 61.73/24.41 | (43) ! [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)))
% 61.73/24.42 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 61.73/24.42 | (45) memberP(all_0_6_6, all_0_8_8) = all_0_4_4
% 61.73/24.42 | (46) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 61.73/24.42 | (47) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 61.73/24.42 | (48) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 61.73/24.42 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 61.73/24.42 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 61.73/24.42 | (51) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 61.73/24.42 | (52) ! [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)))
% 61.73/24.42 | (53) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 61.73/24.42 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 61.73/24.42 | (55) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 61.73/24.42 | (56) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 61.73/24.42 | (57) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 61.73/24.42 | (58) totalorderedP(nil) = 0
% 61.73/24.42 | (59) ! [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)))))))
% 61.73/24.42 | (60) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 61.73/24.42 | (61) memberP(all_0_3_3, all_0_8_8) = all_0_2_2
% 61.73/24.42 | (62) ! [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)))
% 61.73/24.42 | (63) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 61.73/24.42 | (64) ! [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)))))
% 61.73/24.42 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 61.73/24.42 | (66) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 61.73/24.42 | (67) ! [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)))
% 61.73/24.43 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 61.73/24.43 | (69) ! [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)))
% 61.73/24.43 | (70) ! [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))))
% 61.73/24.43 | (71) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 61.73/24.43 | (72) ssList(all_0_13_13) = 0
% 61.73/24.43 | (73) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 61.73/24.43 | (74) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 61.73/24.43 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 61.73/24.43 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 61.73/24.43 | (77) ! [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)))))))
% 61.73/24.43 | (78) ssList(all_0_6_6) = 0
% 61.73/24.43 | (79) ssItem(all_0_0_0) = 0
% 61.73/24.43 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 61.73/24.43 | (81) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 61.73/24.43 | (82) all_0_2_2 = 0 | all_0_4_4 = 0
% 61.73/24.43 | (83) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 61.73/24.43 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 61.73/24.43 | (85) ! [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)))))
% 61.73/24.43 | (86) cons(all_0_8_8, nil) = all_0_7_7
% 61.73/24.43 | (87) ! [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)))))))
% 61.73/24.43 | (88) ssList(all_0_14_14) = 0
% 61.73/24.43 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 61.73/24.43 | (90) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 61.73/24.43 | (91) ! [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)))
% 61.73/24.43 | (92) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 61.73/24.43 | (93) ! [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)))
% 61.73/24.43 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 61.73/24.43 | (95) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 61.73/24.43 | (96) ~ (all_0_15_15 = 0)
% 61.73/24.43 | (97) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 61.73/24.43 | (98) ! [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)))
% 61.73/24.43 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 61.73/24.43 | (100) ! [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)))))
% 61.73/24.44 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 61.73/24.44 | (102) ! [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))))))))
% 61.73/24.44 | (103) ! [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))))
% 61.73/24.44 | (104) ssList(nil) = 0
% 61.73/24.44 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 61.73/24.44 | (106) singletonP(nil) = all_0_15_15
% 61.73/24.44 | (107) ! [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)))
% 61.73/24.44 | (108) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 61.73/24.44 | (109) cyclefreeP(nil) = 0
% 61.73/24.44 | (110) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 61.73/24.44 | (111) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 61.73/24.44 | (112) ssItem(all_0_8_8) = 0
% 61.73/24.44 | (113) ! [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)))))))
% 61.73/24.44 | (114) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 61.73/24.44 | (115) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 61.73/24.44 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 61.73/24.44 | (117) ! [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)))))))
% 62.15/24.44 | (118) equalelemsP(nil) = 0
% 62.15/24.44 | (119) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 62.15/24.44 | (120) ! [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)))))
% 62.15/24.44 | (121) ! [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)))
% 62.15/24.44 | (122) ~ (all_0_0_0 = all_0_1_1)
% 62.15/24.44 | (123) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 62.15/24.44 | (124) ssList(all_0_3_3) = 0
% 62.15/24.44 | (125) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 62.15/24.44 | (126) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 62.15/24.44 | (127) ! [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))))
% 62.15/24.44 | (128) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 62.15/24.44 | (129) ! [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)))
% 62.15/24.44 | (130) ! [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)))
% 62.15/24.44 | (131) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 62.15/24.44 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 62.15/24.44 | (133) ! [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)))
% 62.15/24.45 | (134) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 62.15/24.45 | (135) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 62.15/24.45 | (136) ! [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))))
% 62.15/24.45 | (137) ! [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)))
% 62.15/24.45 | (138) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 62.15/24.45 | (139) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 62.15/24.45 | (140) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 62.15/24.45 | (141) ! [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)))
% 62.15/24.45 | (142) ! [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)))))
% 62.15/24.45 | (143) (all_0_9_9 = 0 & all_0_10_10 = all_0_14_14 & all_0_11_11 = 0 & memberP(all_0_13_13, all_0_12_12) = 0 & cons(all_0_12_12, nil) = all_0_14_14 & ssItem(all_0_12_12) = 0 & ! [v0] : (v0 = all_0_12_12 | ~ (memberP(all_0_13_13, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_12_12, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))) | (all_0_13_13 = nil & all_0_14_14 = nil)
% 62.15/24.45 | (144) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 62.15/24.45 | (145) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 62.15/24.45 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 62.15/24.45 | (147) app(all_0_6_6, all_0_7_7) = all_0_5_5
% 62.15/24.45 | (148) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 62.15/24.45 | (149) ! [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)))
% 62.15/24.45 | (150) ssItem(all_0_1_1) = 0
% 62.15/24.45 | (151) ! [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))))
% 62.15/24.45 | (152) ! [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)))
% 62.15/24.45 | (153) ! [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)))
% 62.15/24.45 | (154) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (11) with all_0_3_3 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 62.15/24.45 | (155) all_0_3_3 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (11) with all_0_14_14 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.45 | (156) all_0_14_14 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_14_14 & ssItem(v1) = 0)
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (115) with all_0_7_7, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (157) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (17) with all_0_7_7, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (158) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (75) with all_0_7_7, all_0_8_8, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (159) ? [v0] : ? [v1] : (ssList(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (90) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (160) ? [v0] : ? [v1] : (equalelemsP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (92) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (161) ? [v0] : ? [v1] : (duplicatefreeP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (33) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (162) ? [v0] : ? [v1] : (strictorderedP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (145) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (163) ? [v0] : ? [v1] : (totalorderedP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (97) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (164) ? [v0] : ? [v1] : (strictorderP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (134) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (165) ? [v0] : ? [v1] : (totalorderP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (36) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.15/24.45 | (166) ? [v0] : ? [v1] : (cyclefreeP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.45 |
% 62.15/24.45 | Instantiating formula (32) with all_0_8_8, nil and discharging atoms ssList(nil) = 0, yields:
% 62.15/24.45 | (167) ~ (cons(all_0_8_8, nil) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (81) with all_0_14_14, all_0_5_5 yields:
% 62.15/24.46 | (168) all_0_5_5 = all_0_14_14 | ~ (app(all_0_5_5, nil) = all_0_14_14) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (12) with all_0_5_5, all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, app(all_0_6_6, all_0_7_7) = all_0_5_5, yields:
% 62.15/24.46 | (169) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (136) with all_0_6_6, all_0_7_7, all_0_6_6, all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.15/24.46 | (170) ~ (app(all_0_6_6, all_0_7_7) = all_0_6_6) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (ssList(all_0_7_7) = v0 & app(all_0_6_6, v1) = v2 & app(all_0_7_7, all_0_7_7) = v1 & ( ~ (v0 = 0) | v2 = all_0_6_6)))
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (136) with all_0_14_14, all_0_3_3, all_0_5_5, all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, app(all_0_5_5, all_0_3_3) = all_0_14_14, app(all_0_6_6, all_0_7_7) = all_0_5_5, yields:
% 62.15/24.46 | (171) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_6_6, v1) = v2 & app(all_0_7_7, all_0_3_3) = v1 & ( ~ (v0 = 0) | v2 = all_0_14_14)))
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (136) with all_0_14_14, all_0_3_3, all_0_5_5, all_0_7_7, nil and discharging atoms ssList(nil) = 0, app(all_0_5_5, all_0_3_3) = all_0_14_14, yields:
% 62.15/24.46 | (172) ~ (app(nil, all_0_7_7) = all_0_5_5) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_7_7, all_0_3_3) = v1 & app(nil, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_14_14)))
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (148) with all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.15/24.46 | (173) all_0_7_7 = nil | ~ (app(all_0_6_6, all_0_7_7) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (123) with all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.15/24.46 | (174) all_0_6_6 = nil | ~ (app(all_0_6_6, all_0_7_7) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (4) with all_0_5_5, all_0_7_7 yields:
% 62.15/24.46 | (175) all_0_5_5 = all_0_7_7 | ~ (app(nil, all_0_7_7) = all_0_5_5) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (25) with all_0_4_4, all_0_6_6, all_0_7_7, all_0_4_4, all_0_6_6, all_0_8_8 and discharging atoms memberP(all_0_6_6, all_0_8_8) = all_0_4_4, ssItem(all_0_8_8) = 0, yields:
% 62.15/24.46 | (176) ~ (app(all_0_6_6, all_0_7_7) = all_0_6_6) | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_6_6) = v0) | (memberP(all_0_7_7, all_0_8_8) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | all_0_4_4 = 0)))
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (171) with all_8_0_16, all_8_1_17, all_8_2_18 yields:
% 62.15/24.46 | (177) ( ~ (all_8_2_18 = 0) & ssList(all_0_7_7) = all_8_2_18) | (ssList(all_0_3_3) = all_8_2_18 & app(all_0_6_6, all_8_1_17) = all_8_0_16 & app(all_0_7_7, all_0_3_3) = all_8_1_17 & ( ~ (all_8_2_18 = 0) | all_8_0_16 = all_0_14_14))
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (169) with all_9_0_19, all_9_1_20 yields:
% 62.15/24.46 | (178) ssList(all_0_5_5) = all_9_0_19 & ssList(all_0_7_7) = all_9_1_20 & ( ~ (all_9_1_20 = 0) | all_9_0_19 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (178) yields:
% 62.15/24.46 | (179) ssList(all_0_5_5) = all_9_0_19
% 62.15/24.46 | (180) ssList(all_0_7_7) = all_9_1_20
% 62.15/24.46 | (181) ~ (all_9_1_20 = 0) | all_9_0_19 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (166) with all_11_0_21, all_11_1_22 yields:
% 62.15/24.46 | (182) cyclefreeP(all_0_7_7) = all_11_0_21 & ssItem(all_0_8_8) = all_11_1_22 & ( ~ (all_11_1_22 = 0) | all_11_0_21 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (182) yields:
% 62.15/24.46 | (183) cyclefreeP(all_0_7_7) = all_11_0_21
% 62.15/24.46 | (184) ssItem(all_0_8_8) = all_11_1_22
% 62.15/24.46 | (185) ~ (all_11_1_22 = 0) | all_11_0_21 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (165) with all_13_0_23, all_13_1_24 yields:
% 62.15/24.46 | (186) totalorderP(all_0_7_7) = all_13_0_23 & ssItem(all_0_8_8) = all_13_1_24 & ( ~ (all_13_1_24 = 0) | all_13_0_23 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (186) yields:
% 62.15/24.46 | (187) totalorderP(all_0_7_7) = all_13_0_23
% 62.15/24.46 | (188) ssItem(all_0_8_8) = all_13_1_24
% 62.15/24.46 | (189) ~ (all_13_1_24 = 0) | all_13_0_23 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (163) with all_15_0_25, all_15_1_26 yields:
% 62.15/24.46 | (190) totalorderedP(all_0_7_7) = all_15_0_25 & ssItem(all_0_8_8) = all_15_1_26 & ( ~ (all_15_1_26 = 0) | all_15_0_25 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (190) yields:
% 62.15/24.46 | (191) totalorderedP(all_0_7_7) = all_15_0_25
% 62.15/24.46 | (192) ssItem(all_0_8_8) = all_15_1_26
% 62.15/24.46 | (193) ~ (all_15_1_26 = 0) | all_15_0_25 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (161) with all_17_0_27, all_17_1_28 yields:
% 62.15/24.46 | (194) duplicatefreeP(all_0_7_7) = all_17_0_27 & ssItem(all_0_8_8) = all_17_1_28 & ( ~ (all_17_1_28 = 0) | all_17_0_27 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (194) yields:
% 62.15/24.46 | (195) duplicatefreeP(all_0_7_7) = all_17_0_27
% 62.15/24.46 | (196) ssItem(all_0_8_8) = all_17_1_28
% 62.15/24.46 | (197) ~ (all_17_1_28 = 0) | all_17_0_27 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (162) with all_19_0_29, all_19_1_30 yields:
% 62.15/24.46 | (198) strictorderedP(all_0_7_7) = all_19_0_29 & ssItem(all_0_8_8) = all_19_1_30 & ( ~ (all_19_1_30 = 0) | all_19_0_29 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (198) yields:
% 62.15/24.46 | (199) strictorderedP(all_0_7_7) = all_19_0_29
% 62.15/24.46 | (200) ssItem(all_0_8_8) = all_19_1_30
% 62.15/24.46 | (201) ~ (all_19_1_30 = 0) | all_19_0_29 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (159) with all_21_0_31, all_21_1_32 yields:
% 62.15/24.46 | (202) ssList(all_0_7_7) = all_21_0_31 & ssItem(all_0_8_8) = all_21_1_32 & ( ~ (all_21_1_32 = 0) | all_21_0_31 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (202) yields:
% 62.15/24.46 | (203) ssList(all_0_7_7) = all_21_0_31
% 62.15/24.46 | (204) ssItem(all_0_8_8) = all_21_1_32
% 62.15/24.46 | (205) ~ (all_21_1_32 = 0) | all_21_0_31 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (160) with all_23_0_33, all_23_1_34 yields:
% 62.15/24.46 | (206) equalelemsP(all_0_7_7) = all_23_0_33 & ssItem(all_0_8_8) = all_23_1_34 & ( ~ (all_23_1_34 = 0) | all_23_0_33 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (206) yields:
% 62.15/24.46 | (207) equalelemsP(all_0_7_7) = all_23_0_33
% 62.15/24.46 | (208) ssItem(all_0_8_8) = all_23_1_34
% 62.15/24.46 | (209) ~ (all_23_1_34 = 0) | all_23_0_33 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (158) with all_25_0_35, all_25_1_36 yields:
% 62.15/24.46 | (210) hd(all_0_7_7) = all_25_0_35 & ssItem(all_0_8_8) = all_25_1_36 & ( ~ (all_25_1_36 = 0) | all_25_0_35 = all_0_8_8)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (210) yields:
% 62.15/24.46 | (211) hd(all_0_7_7) = all_25_0_35
% 62.15/24.46 | (212) ssItem(all_0_8_8) = all_25_1_36
% 62.15/24.46 | (213) ~ (all_25_1_36 = 0) | all_25_0_35 = all_0_8_8
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (157) with all_27_0_37, all_27_1_38 yields:
% 62.15/24.46 | (214) tl(all_0_7_7) = all_27_0_37 & ssItem(all_0_8_8) = all_27_1_38 & ( ~ (all_27_1_38 = 0) | all_27_0_37 = nil)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (214) yields:
% 62.15/24.46 | (215) tl(all_0_7_7) = all_27_0_37
% 62.15/24.46 | (216) ssItem(all_0_8_8) = all_27_1_38
% 62.15/24.46 | (217) ~ (all_27_1_38 = 0) | all_27_0_37 = nil
% 62.15/24.46 |
% 62.15/24.46 | Instantiating (164) with all_29_0_39, all_29_1_40 yields:
% 62.15/24.46 | (218) strictorderP(all_0_7_7) = all_29_0_39 & ssItem(all_0_8_8) = all_29_1_40 & ( ~ (all_29_1_40 = 0) | all_29_0_39 = 0)
% 62.15/24.46 |
% 62.15/24.46 | Applying alpha-rule on (218) yields:
% 62.15/24.46 | (219) strictorderP(all_0_7_7) = all_29_0_39
% 62.15/24.46 | (220) ssItem(all_0_8_8) = all_29_1_40
% 62.15/24.46 | (221) ~ (all_29_1_40 = 0) | all_29_0_39 = 0
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_5_5, all_9_0_19, 0 and discharging atoms ssList(all_0_5_5) = all_9_0_19, yields:
% 62.15/24.46 | (222) all_9_0_19 = 0 | ~ (ssList(all_0_5_5) = 0)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_6_6, all_9_0_19, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.15/24.46 | (223) all_9_0_19 = 0 | ~ (ssList(all_0_6_6) = all_9_0_19)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_13_13, all_9_0_19, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.15/24.46 | (224) all_9_0_19 = 0 | ~ (ssList(all_0_13_13) = all_9_0_19)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_14_14, all_9_0_19, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.46 | (225) all_9_0_19 = 0 | ~ (ssList(all_0_14_14) = all_9_0_19)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with nil, all_9_0_19, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.15/24.46 | (226) all_9_0_19 = 0 | ~ (ssList(nil) = all_9_0_19)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_7_7, all_21_0_31, 0 and discharging atoms ssList(all_0_7_7) = all_21_0_31, yields:
% 62.15/24.46 | (227) all_21_0_31 = 0 | ~ (ssList(all_0_7_7) = 0)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_13_13, all_21_0_31, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.15/24.46 | (228) all_21_0_31 = 0 | ~ (ssList(all_0_13_13) = all_21_0_31)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_14_14, all_21_0_31, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.46 | (229) all_21_0_31 = 0 | ~ (ssList(all_0_14_14) = all_21_0_31)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with nil, all_21_0_31, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.15/24.46 | (230) all_21_0_31 = 0 | ~ (ssList(nil) = all_21_0_31)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_7_7, all_21_0_31, all_9_0_19 and discharging atoms ssList(all_0_7_7) = all_21_0_31, yields:
% 62.15/24.46 | (231) all_21_0_31 = all_9_0_19 | ~ (ssList(all_0_7_7) = all_9_0_19)
% 62.15/24.46 |
% 62.15/24.46 | Instantiating formula (49) with all_0_7_7, all_9_1_20, 0 and discharging atoms ssList(all_0_7_7) = all_9_1_20, yields:
% 62.15/24.47 | (232) all_9_1_20 = 0 | ~ (ssList(all_0_7_7) = 0)
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (49) with all_0_13_13, all_9_1_20, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.15/24.47 | (233) all_9_1_20 = 0 | ~ (ssList(all_0_13_13) = all_9_1_20)
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (49) with all_0_14_14, all_9_1_20, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.47 | (234) all_9_1_20 = 0 | ~ (ssList(all_0_14_14) = all_9_1_20)
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (49) with nil, all_9_1_20, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.15/24.47 | (235) all_9_1_20 = 0 | ~ (ssList(nil) = all_9_1_20)
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (49) with all_0_7_7, all_9_1_20, all_9_0_19 and discharging atoms ssList(all_0_7_7) = all_9_1_20, yields:
% 62.15/24.47 | (236) all_9_0_19 = all_9_1_20 | ~ (ssList(all_0_7_7) = all_9_0_19)
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (49) with all_0_7_7, all_9_1_20, all_21_0_31 and discharging atoms ssList(all_0_7_7) = all_21_0_31, ssList(all_0_7_7) = all_9_1_20, yields:
% 62.15/24.47 | (237) all_21_0_31 = all_9_1_20
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_25_1_36, all_27_1_38 and discharging atoms ssItem(all_0_8_8) = all_27_1_38, ssItem(all_0_8_8) = all_25_1_36, yields:
% 62.15/24.47 | (238) all_27_1_38 = all_25_1_36
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_23_1_34, 0 and discharging atoms ssItem(all_0_8_8) = all_23_1_34, ssItem(all_0_8_8) = 0, yields:
% 62.15/24.47 | (239) all_23_1_34 = 0
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_21_1_32, all_25_1_36 and discharging atoms ssItem(all_0_8_8) = all_25_1_36, ssItem(all_0_8_8) = all_21_1_32, yields:
% 62.15/24.47 | (240) all_25_1_36 = all_21_1_32
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_19_1_30, all_29_1_40 and discharging atoms ssItem(all_0_8_8) = all_29_1_40, ssItem(all_0_8_8) = all_19_1_30, yields:
% 62.15/24.47 | (241) all_29_1_40 = all_19_1_30
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_19_1_30, all_23_1_34 and discharging atoms ssItem(all_0_8_8) = all_23_1_34, ssItem(all_0_8_8) = all_19_1_30, yields:
% 62.15/24.47 | (242) all_23_1_34 = all_19_1_30
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_17_1_28, all_27_1_38 and discharging atoms ssItem(all_0_8_8) = all_27_1_38, ssItem(all_0_8_8) = all_17_1_28, yields:
% 62.15/24.47 | (243) all_27_1_38 = all_17_1_28
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_15_1_26, all_27_1_38 and discharging atoms ssItem(all_0_8_8) = all_27_1_38, ssItem(all_0_8_8) = all_15_1_26, yields:
% 62.15/24.47 | (244) all_27_1_38 = all_15_1_26
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_15_1_26, all_19_1_30 and discharging atoms ssItem(all_0_8_8) = all_19_1_30, ssItem(all_0_8_8) = all_15_1_26, yields:
% 62.15/24.47 | (245) all_19_1_30 = all_15_1_26
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_13_1_24, all_29_1_40 and discharging atoms ssItem(all_0_8_8) = all_29_1_40, ssItem(all_0_8_8) = all_13_1_24, yields:
% 62.15/24.47 | (246) all_29_1_40 = all_13_1_24
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (89) with all_0_8_8, all_11_1_22, all_25_1_36 and discharging atoms ssItem(all_0_8_8) = all_25_1_36, ssItem(all_0_8_8) = all_11_1_22, yields:
% 62.15/24.47 | (247) all_25_1_36 = all_11_1_22
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (241,246) yields a new equation:
% 62.15/24.47 | (248) all_19_1_30 = all_13_1_24
% 62.15/24.47 |
% 62.15/24.47 | Simplifying 248 yields:
% 62.15/24.47 | (249) all_19_1_30 = all_13_1_24
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (238,243) yields a new equation:
% 62.15/24.47 | (250) all_25_1_36 = all_17_1_28
% 62.15/24.47 |
% 62.15/24.47 | Simplifying 250 yields:
% 62.15/24.47 | (251) all_25_1_36 = all_17_1_28
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (244,243) yields a new equation:
% 62.15/24.47 | (252) all_17_1_28 = all_15_1_26
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (247,240) yields a new equation:
% 62.15/24.47 | (253) all_21_1_32 = all_11_1_22
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (251,240) yields a new equation:
% 62.15/24.47 | (254) all_21_1_32 = all_17_1_28
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (242,239) yields a new equation:
% 62.15/24.47 | (255) all_19_1_30 = 0
% 62.15/24.47 |
% 62.15/24.47 | Simplifying 255 yields:
% 62.15/24.47 | (256) all_19_1_30 = 0
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (254,253) yields a new equation:
% 62.15/24.47 | (257) all_17_1_28 = all_11_1_22
% 62.15/24.47 |
% 62.15/24.47 | Simplifying 257 yields:
% 62.15/24.47 | (258) all_17_1_28 = all_11_1_22
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (245,249) yields a new equation:
% 62.15/24.47 | (259) all_15_1_26 = all_13_1_24
% 62.15/24.47 |
% 62.15/24.47 | Simplifying 259 yields:
% 62.15/24.47 | (260) all_15_1_26 = all_13_1_24
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (256,249) yields a new equation:
% 62.15/24.47 | (261) all_13_1_24 = 0
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (252,258) yields a new equation:
% 62.15/24.47 | (262) all_15_1_26 = all_11_1_22
% 62.15/24.47 |
% 62.15/24.47 | Simplifying 262 yields:
% 62.15/24.47 | (263) all_15_1_26 = all_11_1_22
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (260,263) yields a new equation:
% 62.15/24.47 | (264) all_13_1_24 = all_11_1_22
% 62.15/24.47 |
% 62.15/24.47 | Simplifying 264 yields:
% 62.15/24.47 | (265) all_13_1_24 = all_11_1_22
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (261,265) yields a new equation:
% 62.15/24.47 | (266) all_11_1_22 = 0
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (266,258) yields a new equation:
% 62.15/24.47 | (267) all_17_1_28 = 0
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (266,253) yields a new equation:
% 62.15/24.47 | (268) all_21_1_32 = 0
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (268,240) yields a new equation:
% 62.15/24.47 | (269) all_25_1_36 = 0
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (267,243) yields a new equation:
% 62.15/24.47 | (270) all_27_1_38 = 0
% 62.15/24.47 |
% 62.15/24.47 | From (237) and (203) follows:
% 62.15/24.47 | (180) ssList(all_0_7_7) = all_9_1_20
% 62.15/24.47 |
% 62.15/24.47 | From (266) and (184) follows:
% 62.15/24.47 | (112) ssItem(all_0_8_8) = 0
% 62.15/24.47 |
% 62.15/24.47 +-Applying beta-rule and splitting (217), into two cases.
% 62.15/24.47 |-Branch one:
% 62.15/24.47 | (273) ~ (all_27_1_38 = 0)
% 62.15/24.47 |
% 62.15/24.47 | Equations (270) can reduce 273 to:
% 62.15/24.47 | (274) $false
% 62.15/24.47 |
% 62.15/24.47 |-The branch is then unsatisfiable
% 62.15/24.47 |-Branch two:
% 62.15/24.47 | (270) all_27_1_38 = 0
% 62.15/24.47 | (276) all_27_0_37 = nil
% 62.15/24.47 |
% 62.15/24.47 | From (276) and (215) follows:
% 62.15/24.47 | (277) tl(all_0_7_7) = nil
% 62.15/24.47 |
% 62.15/24.47 +-Applying beta-rule and splitting (205), into two cases.
% 62.15/24.47 |-Branch one:
% 62.15/24.47 | (278) ~ (all_21_1_32 = 0)
% 62.15/24.47 |
% 62.15/24.47 | Equations (268) can reduce 278 to:
% 62.15/24.47 | (274) $false
% 62.15/24.47 |
% 62.15/24.47 |-The branch is then unsatisfiable
% 62.15/24.47 |-Branch two:
% 62.15/24.47 | (268) all_21_1_32 = 0
% 62.15/24.47 | (281) all_21_0_31 = 0
% 62.15/24.47 |
% 62.15/24.47 | Combining equations (237,281) yields a new equation:
% 62.15/24.47 | (282) all_9_1_20 = 0
% 62.15/24.47 |
% 62.15/24.47 | Simplifying 282 yields:
% 62.15/24.47 | (283) all_9_1_20 = 0
% 62.15/24.47 |
% 62.15/24.47 | From (283) and (180) follows:
% 62.15/24.47 | (284) ssList(all_0_7_7) = 0
% 62.15/24.47 |
% 62.15/24.47 +-Applying beta-rule and splitting (181), into two cases.
% 62.15/24.47 |-Branch one:
% 62.15/24.47 | (285) ~ (all_9_1_20 = 0)
% 62.15/24.47 |
% 62.15/24.47 | Equations (283) can reduce 285 to:
% 62.15/24.47 | (274) $false
% 62.15/24.47 |
% 62.15/24.47 |-The branch is then unsatisfiable
% 62.15/24.47 |-Branch two:
% 62.15/24.47 | (283) all_9_1_20 = 0
% 62.15/24.47 | (288) all_9_0_19 = 0
% 62.15/24.47 |
% 62.15/24.47 | From (288) and (179) follows:
% 62.15/24.47 | (289) ssList(all_0_5_5) = 0
% 62.15/24.47 |
% 62.15/24.47 +-Applying beta-rule and splitting (167), into two cases.
% 62.15/24.47 |-Branch one:
% 62.15/24.47 | (290) ~ (cons(all_0_8_8, nil) = nil)
% 62.15/24.47 |
% 62.15/24.47 +-Applying beta-rule and splitting (177), into two cases.
% 62.15/24.47 |-Branch one:
% 62.15/24.47 | (291) ~ (all_8_2_18 = 0) & ssList(all_0_7_7) = all_8_2_18
% 62.15/24.47 |
% 62.15/24.47 | Applying alpha-rule on (291) yields:
% 62.15/24.47 | (292) ~ (all_8_2_18 = 0)
% 62.15/24.47 | (293) ssList(all_0_7_7) = all_8_2_18
% 62.15/24.47 |
% 62.15/24.47 | Instantiating formula (49) with all_0_7_7, all_8_2_18, 0 and discharging atoms ssList(all_0_7_7) = all_8_2_18, ssList(all_0_7_7) = 0, yields:
% 62.15/24.47 | (294) all_8_2_18 = 0
% 62.15/24.47 |
% 62.15/24.47 | Equations (294) can reduce 292 to:
% 62.15/24.47 | (274) $false
% 62.15/24.47 |
% 62.15/24.47 |-The branch is then unsatisfiable
% 62.15/24.47 |-Branch two:
% 62.15/24.47 | (296) ssList(all_0_3_3) = all_8_2_18 & app(all_0_6_6, all_8_1_17) = all_8_0_16 & app(all_0_7_7, all_0_3_3) = all_8_1_17 & ( ~ (all_8_2_18 = 0) | all_8_0_16 = all_0_14_14)
% 62.15/24.47 |
% 62.15/24.47 | Applying alpha-rule on (296) yields:
% 62.15/24.47 | (297) ssList(all_0_3_3) = all_8_2_18
% 62.15/24.48 | (298) app(all_0_6_6, all_8_1_17) = all_8_0_16
% 62.15/24.48 | (299) app(all_0_7_7, all_0_3_3) = all_8_1_17
% 62.15/24.48 | (300) ~ (all_8_2_18 = 0) | all_8_0_16 = all_0_14_14
% 62.15/24.48 |
% 62.15/24.48 +-Applying beta-rule and splitting (213), into two cases.
% 62.15/24.48 |-Branch one:
% 62.15/24.48 | (301) ~ (all_25_1_36 = 0)
% 62.15/24.48 |
% 62.15/24.48 | Equations (269) can reduce 301 to:
% 62.15/24.48 | (274) $false
% 62.15/24.48 |
% 62.15/24.48 |-The branch is then unsatisfiable
% 62.15/24.48 |-Branch two:
% 62.15/24.48 | (269) all_25_1_36 = 0
% 62.15/24.48 | (304) all_25_0_35 = all_0_8_8
% 62.15/24.48 |
% 62.15/24.48 | From (304) and (211) follows:
% 62.15/24.48 | (305) hd(all_0_7_7) = all_0_8_8
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (49) with all_0_3_3, all_8_2_18, 0 and discharging atoms ssList(all_0_3_3) = all_8_2_18, ssList(all_0_3_3) = 0, yields:
% 62.15/24.48 | (294) all_8_2_18 = 0
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (49) with all_0_6_6, all_8_2_18, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.15/24.48 | (307) all_8_2_18 = 0 | ~ (ssList(all_0_6_6) = all_8_2_18)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (49) with all_0_13_13, all_8_2_18, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.15/24.48 | (308) all_8_2_18 = 0 | ~ (ssList(all_0_13_13) = all_8_2_18)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (49) with all_0_14_14, all_8_2_18, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.48 | (309) all_8_2_18 = 0 | ~ (ssList(all_0_14_14) = all_8_2_18)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (49) with nil, all_8_2_18, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.15/24.48 | (310) all_8_2_18 = 0 | ~ (ssList(nil) = all_8_2_18)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (49) with all_0_5_5, 0, all_8_2_18 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 62.15/24.48 | (311) all_8_2_18 = 0 | ~ (ssList(all_0_5_5) = all_8_2_18)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (49) with all_0_7_7, 0, all_8_2_18 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 62.15/24.48 | (312) all_8_2_18 = 0 | ~ (ssList(all_0_7_7) = all_8_2_18)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (116) with all_0_6_6, all_0_7_7, all_8_0_16, all_0_5_5 and discharging atoms app(all_0_6_6, all_0_7_7) = all_0_5_5, yields:
% 62.15/24.48 | (313) all_8_0_16 = all_0_5_5 | ~ (app(all_0_6_6, all_0_7_7) = all_8_0_16)
% 62.15/24.48 |
% 62.15/24.48 | Using (86) and (290) yields:
% 62.15/24.48 | (314) ~ (all_0_7_7 = nil)
% 62.15/24.48 |
% 62.15/24.48 | From (294) and (297) follows:
% 62.15/24.48 | (124) ssList(all_0_3_3) = 0
% 62.15/24.48 |
% 62.15/24.48 +-Applying beta-rule and splitting (173), into two cases.
% 62.15/24.48 |-Branch one:
% 62.15/24.48 | (316) ~ (app(all_0_6_6, all_0_7_7) = nil)
% 62.15/24.48 |
% 62.15/24.48 +-Applying beta-rule and splitting (300), into two cases.
% 62.15/24.48 |-Branch one:
% 62.15/24.48 | (292) ~ (all_8_2_18 = 0)
% 62.15/24.48 |
% 62.15/24.48 | Equations (294) can reduce 292 to:
% 62.15/24.48 | (274) $false
% 62.15/24.48 |
% 62.15/24.48 |-The branch is then unsatisfiable
% 62.15/24.48 |-Branch two:
% 62.15/24.48 | (294) all_8_2_18 = 0
% 62.15/24.48 | (320) all_8_0_16 = all_0_14_14
% 62.15/24.48 |
% 62.15/24.48 | From (320) and (298) follows:
% 62.15/24.48 | (321) app(all_0_6_6, all_8_1_17) = all_0_14_14
% 62.15/24.48 |
% 62.15/24.48 | Using (147) and (316) yields:
% 62.15/24.48 | (322) ~ (all_0_5_5 = nil)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (8) with nil, all_0_7_7 and discharging atoms tl(all_0_7_7) = nil, yields:
% 62.15/24.48 | (323) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v0 = 0) | ! [v2] : (v2 = all_0_7_7 | v2 = nil | all_0_7_7 = nil | ~ (tl(v2) = nil) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssList(v2) = v3 & ( ~ (v4 = v1) | ~ (v3 = 0))))))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (136) with all_0_14_14, all_0_3_3, all_0_14_14, all_0_3_3, all_0_14_14 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.48 | (324) ~ (app(all_0_14_14, all_0_3_3) = all_0_14_14) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_3_3) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & app(all_0_14_14, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_14_14)))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (123) with all_0_3_3, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 62.15/24.48 | (325) all_0_5_5 = nil | ~ (app(all_0_5_5, all_0_3_3) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_3_3) = v0)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (11) with all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 62.15/24.48 | (326) all_0_5_5 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_5_5 & ssItem(v1) = 0)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (11) with all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 62.15/24.48 | (327) all_0_7_7 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_7_7 & ssItem(v1) = 0)
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (12) with all_0_14_14, all_8_1_17, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, app(all_0_6_6, all_8_1_17) = all_0_14_14, yields:
% 62.15/24.48 | (328) ? [v0] : ? [v1] : (ssList(all_8_1_17) = v0 & ssList(all_0_14_14) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (136) with all_0_14_14, all_0_3_3, all_0_14_14, all_8_1_17, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, app(all_0_6_6, all_8_1_17) = all_0_14_14, yields:
% 62.15/24.48 | (329) ~ (app(all_0_14_14, all_0_3_3) = all_0_14_14) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | (ssList(all_0_3_3) = v0 & app(all_8_1_17, all_0_3_3) = v1 & app(all_0_6_6, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_14_14)))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (43) with all_8_1_17, all_0_14_14, all_0_6_6, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, app(all_0_6_6, all_8_1_17) = all_0_14_14, yields:
% 62.15/24.48 | (330) all_8_1_17 = all_0_7_7 | ~ (app(all_0_6_6, all_0_7_7) = all_0_14_14) | ? [v0] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | ( ~ (v0 = 0) & ssList(all_0_6_6) = v0))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (35) with all_8_1_17, all_0_7_7, all_0_8_8, all_0_3_3 and discharging atoms ssList(all_0_3_3) = 0, cons(all_0_8_8, nil) = all_0_7_7, app(all_0_7_7, all_0_3_3) = all_8_1_17, yields:
% 62.15/24.48 | (331) ? [v0] : ? [v1] : (cons(all_0_8_8, all_0_3_3) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_8_1_17))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (12) with all_8_1_17, all_0_3_3, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, app(all_0_7_7, all_0_3_3) = all_8_1_17, yields:
% 62.15/24.48 | (332) ? [v0] : ? [v1] : (ssList(all_8_1_17) = v1 & ssList(all_0_3_3) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (136) with all_0_7_7, all_0_3_3, all_0_7_7, all_0_3_3, all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 62.15/24.48 | (333) ~ (app(all_0_7_7, all_0_3_3) = all_0_7_7) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_3_3) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & app(all_0_7_7, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_7_7)))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating formula (103) with all_8_1_17, all_0_3_3, all_0_8_8, all_0_7_7 and discharging atoms hd(all_0_7_7) = all_0_8_8, app(all_0_7_7, all_0_3_3) = all_8_1_17, yields:
% 62.15/24.48 | (334) all_0_7_7 = nil | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (hd(all_8_1_17) = v1 & ssList(all_0_3_3) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8)))
% 62.15/24.48 |
% 62.15/24.48 | Instantiating (332) with all_108_0_41, all_108_1_42 yields:
% 62.15/24.48 | (335) ssList(all_8_1_17) = all_108_0_41 & ssList(all_0_3_3) = all_108_1_42 & ( ~ (all_108_1_42 = 0) | all_108_0_41 = 0)
% 62.15/24.48 |
% 62.15/24.48 | Applying alpha-rule on (335) yields:
% 62.15/24.48 | (336) ssList(all_8_1_17) = all_108_0_41
% 62.15/24.48 | (337) ssList(all_0_3_3) = all_108_1_42
% 62.15/24.48 | (338) ~ (all_108_1_42 = 0) | all_108_0_41 = 0
% 62.15/24.48 |
% 62.15/24.48 | Instantiating (331) with all_110_0_43, all_110_1_44 yields:
% 62.15/24.48 | (339) cons(all_0_8_8, all_0_3_3) = all_110_0_43 & ssItem(all_0_8_8) = all_110_1_44 & ( ~ (all_110_1_44 = 0) | all_110_0_43 = all_8_1_17)
% 62.15/24.48 |
% 62.15/24.48 | Applying alpha-rule on (339) yields:
% 62.15/24.48 | (340) cons(all_0_8_8, all_0_3_3) = all_110_0_43
% 62.15/24.48 | (341) ssItem(all_0_8_8) = all_110_1_44
% 62.15/24.48 | (342) ~ (all_110_1_44 = 0) | all_110_0_43 = all_8_1_17
% 62.15/24.48 |
% 62.15/24.48 | Instantiating (328) with all_112_0_45, all_112_1_46 yields:
% 62.15/24.48 | (343) ssList(all_8_1_17) = all_112_1_46 & ssList(all_0_14_14) = all_112_0_45 & ( ~ (all_112_1_46 = 0) | all_112_0_45 = 0)
% 62.15/24.48 |
% 62.15/24.48 | Applying alpha-rule on (343) yields:
% 62.15/24.48 | (344) ssList(all_8_1_17) = all_112_1_46
% 62.15/24.48 | (345) ssList(all_0_14_14) = all_112_0_45
% 62.15/24.48 | (346) ~ (all_112_1_46 = 0) | all_112_0_45 = 0
% 62.15/24.48 |
% 62.15/24.48 | Instantiating (323) with all_114_0_47, all_114_1_48 yields:
% 62.15/24.48 | (347) hd(all_0_7_7) = all_114_0_47 & ssList(all_0_7_7) = all_114_1_48 & ( ~ (all_114_1_48 = 0) | ! [v0] : (v0 = all_0_7_7 | v0 = nil | all_0_7_7 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_114_0_47) | ~ (v1 = 0)))))
% 62.15/24.48 |
% 62.15/24.48 | Applying alpha-rule on (347) yields:
% 62.15/24.48 | (348) hd(all_0_7_7) = all_114_0_47
% 62.15/24.48 | (349) ssList(all_0_7_7) = all_114_1_48
% 62.15/24.48 | (350) ~ (all_114_1_48 = 0) | ! [v0] : (v0 = all_0_7_7 | v0 = nil | all_0_7_7 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_114_0_47) | ~ (v1 = 0))))
% 62.15/24.48 |
% 62.15/24.48 +-Applying beta-rule and splitting (327), into two cases.
% 62.15/24.48 |-Branch one:
% 62.15/24.48 | (351) all_0_7_7 = nil
% 62.15/24.49 |
% 62.15/24.49 | Equations (351) can reduce 314 to:
% 62.15/24.49 | (274) $false
% 62.15/24.49 |
% 62.15/24.49 |-The branch is then unsatisfiable
% 62.15/24.49 |-Branch two:
% 62.15/24.49 | (314) ~ (all_0_7_7 = nil)
% 62.15/24.49 | (354) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_7_7 & ssItem(v1) = 0)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating (354) with all_120_0_49, all_120_1_50 yields:
% 62.15/24.49 | (355) ssList(all_120_1_50) = 0 & cons(all_120_0_49, all_120_1_50) = all_0_7_7 & ssItem(all_120_0_49) = 0
% 62.15/24.49 |
% 62.15/24.49 | Applying alpha-rule on (355) yields:
% 62.15/24.49 | (356) ssList(all_120_1_50) = 0
% 62.15/24.49 | (357) cons(all_120_0_49, all_120_1_50) = all_0_7_7
% 62.15/24.49 | (358) ssItem(all_120_0_49) = 0
% 62.15/24.49 |
% 62.15/24.49 +-Applying beta-rule and splitting (326), into two cases.
% 62.15/24.49 |-Branch one:
% 62.15/24.49 | (359) all_0_5_5 = nil
% 62.15/24.49 |
% 62.15/24.49 | Equations (359) can reduce 322 to:
% 62.15/24.49 | (274) $false
% 62.15/24.49 |
% 62.15/24.49 |-The branch is then unsatisfiable
% 62.15/24.49 |-Branch two:
% 62.15/24.49 | (322) ~ (all_0_5_5 = nil)
% 62.15/24.49 | (362) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_5_5 & ssItem(v1) = 0)
% 62.15/24.49 |
% 62.15/24.49 +-Applying beta-rule and splitting (334), into two cases.
% 62.15/24.49 |-Branch one:
% 62.15/24.49 | (351) all_0_7_7 = nil
% 62.15/24.49 |
% 62.15/24.49 | Equations (351) can reduce 314 to:
% 62.15/24.49 | (274) $false
% 62.15/24.49 |
% 62.15/24.49 |-The branch is then unsatisfiable
% 62.15/24.49 |-Branch two:
% 62.15/24.49 | (314) ~ (all_0_7_7 = nil)
% 62.15/24.49 | (366) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (hd(all_8_1_17) = v1 & ssList(all_0_3_3) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8)))
% 62.15/24.49 |
% 62.15/24.49 | Instantiating (366) with all_130_0_53, all_130_1_54 yields:
% 62.15/24.49 | (367) ( ~ (all_130_1_54 = 0) & ssList(all_0_7_7) = all_130_1_54) | (hd(all_8_1_17) = all_130_0_53 & ssList(all_0_3_3) = all_130_1_54 & ( ~ (all_130_1_54 = 0) | all_130_0_53 = all_0_8_8))
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (94) with all_0_7_7, all_114_0_47, all_0_8_8 and discharging atoms hd(all_0_7_7) = all_114_0_47, hd(all_0_7_7) = all_0_8_8, yields:
% 62.15/24.49 | (368) all_114_0_47 = all_0_8_8
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_3_3, all_112_1_46, 0 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 62.15/24.49 | (369) all_112_1_46 = 0 | ~ (ssList(all_0_3_3) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_5_5, all_112_1_46, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 62.15/24.49 | (370) all_112_1_46 = 0 | ~ (ssList(all_0_5_5) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_6_6, all_112_1_46, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.15/24.49 | (371) all_112_1_46 = 0 | ~ (ssList(all_0_6_6) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_7_7, all_112_1_46, 0 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 62.15/24.49 | (372) all_112_1_46 = 0 | ~ (ssList(all_0_7_7) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_13_13, all_112_1_46, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.15/24.49 | (373) all_112_1_46 = 0 | ~ (ssList(all_0_13_13) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_14_14, all_112_1_46, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.49 | (374) all_112_1_46 = 0 | ~ (ssList(all_0_14_14) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with nil, all_112_1_46, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.15/24.49 | (375) all_112_1_46 = 0 | ~ (ssList(nil) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_8_1_17, all_112_1_46, 0 and discharging atoms ssList(all_8_1_17) = all_112_1_46, yields:
% 62.15/24.49 | (376) all_112_1_46 = 0 | ~ (ssList(all_8_1_17) = 0)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_3_3, all_108_0_41, 0 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 62.15/24.49 | (377) all_108_0_41 = 0 | ~ (ssList(all_0_3_3) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_5_5, all_108_0_41, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 62.15/24.49 | (378) all_108_0_41 = 0 | ~ (ssList(all_0_5_5) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_6_6, all_108_0_41, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.15/24.49 | (379) all_108_0_41 = 0 | ~ (ssList(all_0_6_6) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_7_7, all_108_0_41, 0 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 62.15/24.49 | (380) all_108_0_41 = 0 | ~ (ssList(all_0_7_7) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_13_13, all_108_0_41, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.15/24.49 | (381) all_108_0_41 = 0 | ~ (ssList(all_0_13_13) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_14_14, all_108_0_41, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.49 | (382) all_108_0_41 = 0 | ~ (ssList(all_0_14_14) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with nil, all_108_0_41, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.15/24.49 | (383) all_108_0_41 = 0 | ~ (ssList(nil) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_8_1_17, all_108_0_41, 0 and discharging atoms ssList(all_8_1_17) = all_108_0_41, yields:
% 62.15/24.49 | (384) all_108_0_41 = 0 | ~ (ssList(all_8_1_17) = 0)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_8_1_17, all_108_0_41, all_112_1_46 and discharging atoms ssList(all_8_1_17) = all_112_1_46, ssList(all_8_1_17) = all_108_0_41, yields:
% 62.15/24.49 | (385) all_112_1_46 = all_108_0_41
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_3_3, all_108_1_42, 0 and discharging atoms ssList(all_0_3_3) = all_108_1_42, ssList(all_0_3_3) = 0, yields:
% 62.15/24.49 | (386) all_108_1_42 = 0
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_5_5, all_108_1_42, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 62.15/24.49 | (387) all_108_1_42 = 0 | ~ (ssList(all_0_5_5) = all_108_1_42)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_6_6, all_108_1_42, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.15/24.49 | (388) all_108_1_42 = 0 | ~ (ssList(all_0_6_6) = all_108_1_42)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_7_7, all_108_1_42, 0 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 62.15/24.49 | (389) all_108_1_42 = 0 | ~ (ssList(all_0_7_7) = all_108_1_42)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_13_13, all_108_1_42, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.15/24.49 | (390) all_108_1_42 = 0 | ~ (ssList(all_0_13_13) = all_108_1_42)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_14_14, all_108_1_42, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.49 | (391) all_108_1_42 = 0 | ~ (ssList(all_0_14_14) = all_108_1_42)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with nil, all_108_1_42, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.15/24.49 | (392) all_108_1_42 = 0 | ~ (ssList(nil) = all_108_1_42)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_3_3, all_108_1_42, all_112_1_46 and discharging atoms ssList(all_0_3_3) = all_108_1_42, yields:
% 62.15/24.49 | (393) all_112_1_46 = all_108_1_42 | ~ (ssList(all_0_3_3) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_3_3, all_108_1_42, all_108_0_41 and discharging atoms ssList(all_0_3_3) = all_108_1_42, yields:
% 62.15/24.49 | (394) all_108_0_41 = all_108_1_42 | ~ (ssList(all_0_3_3) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_7_7, all_114_1_48, 0 and discharging atoms ssList(all_0_7_7) = all_114_1_48, ssList(all_0_7_7) = 0, yields:
% 62.15/24.49 | (395) all_114_1_48 = 0
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_13_13, all_114_1_48, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.15/24.49 | (396) all_114_1_48 = 0 | ~ (ssList(all_0_13_13) = all_114_1_48)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_14_14, all_114_1_48, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.15/24.49 | (397) all_114_1_48 = 0 | ~ (ssList(all_0_14_14) = all_114_1_48)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_7_7, all_114_1_48, all_112_1_46 and discharging atoms ssList(all_0_7_7) = all_114_1_48, yields:
% 62.15/24.49 | (398) all_114_1_48 = all_112_1_46 | ~ (ssList(all_0_7_7) = all_112_1_46)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_7_7, all_114_1_48, all_108_0_41 and discharging atoms ssList(all_0_7_7) = all_114_1_48, yields:
% 62.15/24.49 | (399) all_114_1_48 = all_108_0_41 | ~ (ssList(all_0_7_7) = all_108_0_41)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_7_7, all_114_1_48, all_108_1_42 and discharging atoms ssList(all_0_7_7) = all_114_1_48, yields:
% 62.15/24.49 | (400) all_114_1_48 = all_108_1_42 | ~ (ssList(all_0_7_7) = all_108_1_42)
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with all_0_14_14, all_112_0_45, 0 and discharging atoms ssList(all_0_14_14) = all_112_0_45, ssList(all_0_14_14) = 0, yields:
% 62.15/24.49 | (401) all_112_0_45 = 0
% 62.15/24.49 |
% 62.15/24.49 | Instantiating formula (49) with nil, all_112_0_45, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.39/24.49 | (402) all_112_0_45 = 0 | ~ (ssList(nil) = all_112_0_45)
% 62.39/24.49 |
% 62.39/24.49 | Instantiating formula (49) with all_0_14_14, all_112_0_45, all_112_1_46 and discharging atoms ssList(all_0_14_14) = all_112_0_45, yields:
% 62.39/24.49 | (403) all_112_0_45 = all_112_1_46 | ~ (ssList(all_0_14_14) = all_112_1_46)
% 62.39/24.49 |
% 62.39/24.49 | Instantiating formula (49) with all_0_14_14, all_112_0_45, all_108_0_41 and discharging atoms ssList(all_0_14_14) = all_112_0_45, yields:
% 62.39/24.49 | (404) all_112_0_45 = all_108_0_41 | ~ (ssList(all_0_14_14) = all_108_0_41)
% 62.39/24.49 |
% 62.39/24.49 | Instantiating formula (49) with all_0_14_14, all_112_0_45, all_108_1_42 and discharging atoms ssList(all_0_14_14) = all_112_0_45, yields:
% 62.39/24.49 | (405) all_112_0_45 = all_108_1_42 | ~ (ssList(all_0_14_14) = all_108_1_42)
% 62.39/24.49 |
% 62.39/24.49 | Instantiating formula (49) with all_0_14_14, all_112_0_45, all_114_1_48 and discharging atoms ssList(all_0_14_14) = all_112_0_45, yields:
% 62.39/24.49 | (406) all_114_1_48 = all_112_0_45 | ~ (ssList(all_0_14_14) = all_114_1_48)
% 62.39/24.49 |
% 62.39/24.49 | Instantiating formula (76) with all_0_8_8, nil, all_110_0_43, all_0_7_7 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.39/24.49 | (407) all_110_0_43 = all_0_7_7 | ~ (cons(all_0_8_8, nil) = all_110_0_43)
% 62.39/24.49 |
% 62.39/24.49 | Instantiating formula (89) with all_0_8_8, all_110_1_44, 0 and discharging atoms ssItem(all_0_8_8) = all_110_1_44, ssItem(all_0_8_8) = 0, yields:
% 62.39/24.49 | (408) all_110_1_44 = 0
% 62.39/24.49 |
% 62.39/24.49 | From (368) and (348) follows:
% 62.39/24.49 | (305) hd(all_0_7_7) = all_0_8_8
% 62.39/24.49 |
% 62.39/24.49 | From (385) and (344) follows:
% 62.39/24.50 | (336) ssList(all_8_1_17) = all_108_0_41
% 62.39/24.50 |
% 62.39/24.50 | From (386) and (337) follows:
% 62.39/24.50 | (124) ssList(all_0_3_3) = 0
% 62.39/24.50 |
% 62.39/24.50 | From (395) and (349) follows:
% 62.39/24.50 | (284) ssList(all_0_7_7) = 0
% 62.39/24.50 |
% 62.39/24.50 | From (401) and (345) follows:
% 62.39/24.50 | (88) ssList(all_0_14_14) = 0
% 62.39/24.50 |
% 62.39/24.50 | From (408) and (341) follows:
% 62.39/24.50 | (112) ssItem(all_0_8_8) = 0
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (367), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (415) ~ (all_130_1_54 = 0) & ssList(all_0_7_7) = all_130_1_54
% 62.39/24.50 |
% 62.39/24.50 | Applying alpha-rule on (415) yields:
% 62.39/24.50 | (416) ~ (all_130_1_54 = 0)
% 62.39/24.50 | (417) ssList(all_0_7_7) = all_130_1_54
% 62.39/24.50 |
% 62.39/24.50 | Instantiating formula (49) with all_0_7_7, all_130_1_54, 0 and discharging atoms ssList(all_0_7_7) = all_130_1_54, ssList(all_0_7_7) = 0, yields:
% 62.39/24.50 | (418) all_130_1_54 = 0
% 62.39/24.50 |
% 62.39/24.50 | Equations (418) can reduce 416 to:
% 62.39/24.50 | (274) $false
% 62.39/24.50 |
% 62.39/24.50 |-The branch is then unsatisfiable
% 62.39/24.50 |-Branch two:
% 62.39/24.50 | (420) hd(all_8_1_17) = all_130_0_53 & ssList(all_0_3_3) = all_130_1_54 & ( ~ (all_130_1_54 = 0) | all_130_0_53 = all_0_8_8)
% 62.39/24.50 |
% 62.39/24.50 | Applying alpha-rule on (420) yields:
% 62.39/24.50 | (421) hd(all_8_1_17) = all_130_0_53
% 62.39/24.50 | (422) ssList(all_0_3_3) = all_130_1_54
% 62.39/24.50 | (423) ~ (all_130_1_54 = 0) | all_130_0_53 = all_0_8_8
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (338), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (424) ~ (all_108_1_42 = 0)
% 62.39/24.50 |
% 62.39/24.50 | Equations (386) can reduce 424 to:
% 62.39/24.50 | (274) $false
% 62.39/24.50 |
% 62.39/24.50 |-The branch is then unsatisfiable
% 62.39/24.50 |-Branch two:
% 62.39/24.50 | (386) all_108_1_42 = 0
% 62.39/24.50 | (427) all_108_0_41 = 0
% 62.39/24.50 |
% 62.39/24.50 | Combining equations (427,385) yields a new equation:
% 62.39/24.50 | (428) all_112_1_46 = 0
% 62.39/24.50 |
% 62.39/24.50 | From (427) and (336) follows:
% 62.39/24.50 | (429) ssList(all_8_1_17) = 0
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (342), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (430) ~ (all_110_1_44 = 0)
% 62.39/24.50 |
% 62.39/24.50 | Equations (408) can reduce 430 to:
% 62.39/24.50 | (274) $false
% 62.39/24.50 |
% 62.39/24.50 |-The branch is then unsatisfiable
% 62.39/24.50 |-Branch two:
% 62.39/24.50 | (408) all_110_1_44 = 0
% 62.39/24.50 | (433) all_110_0_43 = all_8_1_17
% 62.39/24.50 |
% 62.39/24.50 | From (433) and (340) follows:
% 62.39/24.50 | (434) cons(all_0_8_8, all_0_3_3) = all_8_1_17
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (350), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (435) ~ (all_114_1_48 = 0)
% 62.39/24.50 |
% 62.39/24.50 | Equations (395) can reduce 435 to:
% 62.39/24.50 | (274) $false
% 62.39/24.50 |
% 62.39/24.50 |-The branch is then unsatisfiable
% 62.39/24.50 |-Branch two:
% 62.39/24.50 | (395) all_114_1_48 = 0
% 62.39/24.50 | (438) ! [v0] : (v0 = all_0_7_7 | v0 = nil | all_0_7_7 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_114_0_47) | ~ (v1 = 0))))
% 62.39/24.50 |
% 62.39/24.50 | Instantiating formula (49) with all_0_3_3, all_130_1_54, 0 and discharging atoms ssList(all_0_3_3) = all_130_1_54, ssList(all_0_3_3) = 0, yields:
% 62.39/24.50 | (418) all_130_1_54 = 0
% 62.39/24.50 |
% 62.39/24.50 | Instantiating formula (49) with all_0_5_5, all_130_1_54, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 62.39/24.50 | (440) all_130_1_54 = 0 | ~ (ssList(all_0_5_5) = all_130_1_54)
% 62.39/24.50 |
% 62.39/24.50 | Instantiating formula (49) with all_0_6_6, all_130_1_54, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 62.39/24.50 | (441) all_130_1_54 = 0 | ~ (ssList(all_0_6_6) = all_130_1_54)
% 62.39/24.50 |
% 62.39/24.50 | Instantiating formula (49) with all_0_7_7, all_130_1_54, 0 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 62.39/24.50 | (442) all_130_1_54 = 0 | ~ (ssList(all_0_7_7) = all_130_1_54)
% 62.39/24.50 |
% 62.39/24.50 | Instantiating formula (49) with all_0_13_13, all_130_1_54, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 62.39/24.50 | (443) all_130_1_54 = 0 | ~ (ssList(all_0_13_13) = all_130_1_54)
% 62.39/24.50 |
% 62.39/24.50 | Instantiating formula (49) with all_0_14_14, all_130_1_54, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 62.39/24.50 | (444) all_130_1_54 = 0 | ~ (ssList(all_0_14_14) = all_130_1_54)
% 62.39/24.50 |
% 62.39/24.50 | Instantiating formula (49) with nil, all_130_1_54, 0 and discharging atoms ssList(nil) = 0, yields:
% 62.39/24.50 | (445) all_130_1_54 = 0 | ~ (ssList(nil) = all_130_1_54)
% 62.39/24.50 |
% 62.39/24.50 | From (418) and (422) follows:
% 62.39/24.50 | (124) ssList(all_0_3_3) = 0
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (423), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (416) ~ (all_130_1_54 = 0)
% 62.39/24.50 |
% 62.39/24.50 | Equations (418) can reduce 416 to:
% 62.39/24.50 | (274) $false
% 62.39/24.50 |
% 62.39/24.50 |-The branch is then unsatisfiable
% 62.39/24.50 |-Branch two:
% 62.39/24.50 | (418) all_130_1_54 = 0
% 62.39/24.50 | (450) all_130_0_53 = all_0_8_8
% 62.39/24.50 |
% 62.39/24.50 | From (450) and (421) follows:
% 62.39/24.50 | (451) hd(all_8_1_17) = all_0_8_8
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (325), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (452) ~ (app(all_0_5_5, all_0_3_3) = nil)
% 62.39/24.50 |
% 62.39/24.50 | Using (29) and (452) yields:
% 62.39/24.50 | (453) ~ (all_0_14_14 = nil)
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (143), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (454) all_0_9_9 = 0 & all_0_10_10 = all_0_14_14 & all_0_11_11 = 0 & memberP(all_0_13_13, all_0_12_12) = 0 & cons(all_0_12_12, nil) = all_0_14_14 & ssItem(all_0_12_12) = 0 & ! [v0] : (v0 = all_0_12_12 | ~ (memberP(all_0_13_13, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_12_12, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 62.39/24.50 |
% 62.39/24.50 | Applying alpha-rule on (454) yields:
% 62.39/24.50 | (455) all_0_9_9 = 0
% 62.39/24.50 | (456) cons(all_0_12_12, nil) = all_0_14_14
% 62.39/24.50 | (457) ! [v0] : (v0 = all_0_12_12 | ~ (memberP(all_0_13_13, v0) = 0) | ? [v1] : ? [v2] : (leq(all_0_12_12, v0) = v2 & ssItem(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0))))
% 62.39/24.50 | (458) memberP(all_0_13_13, all_0_12_12) = 0
% 62.39/24.50 | (459) all_0_11_11 = 0
% 62.39/24.50 | (460) all_0_10_10 = all_0_14_14
% 62.39/24.50 | (461) ssItem(all_0_12_12) = 0
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (156), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (462) all_0_14_14 = nil
% 62.39/24.50 |
% 62.39/24.50 | Equations (462) can reduce 453 to:
% 62.39/24.50 | (274) $false
% 62.39/24.50 |
% 62.39/24.50 |-The branch is then unsatisfiable
% 62.39/24.50 |-Branch two:
% 62.39/24.50 | (453) ~ (all_0_14_14 = nil)
% 62.39/24.50 | (465) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_14_14 & ssItem(v1) = 0)
% 62.39/24.50 |
% 62.39/24.50 | Instantiating (465) with all_180_0_55, all_180_1_56 yields:
% 62.39/24.50 | (466) ssList(all_180_1_56) = 0 & cons(all_180_0_55, all_180_1_56) = all_0_14_14 & ssItem(all_180_0_55) = 0
% 62.39/24.50 |
% 62.39/24.50 | Applying alpha-rule on (466) yields:
% 62.39/24.50 | (467) ssList(all_180_1_56) = 0
% 62.39/24.50 | (468) cons(all_180_0_55, all_180_1_56) = all_0_14_14
% 62.39/24.50 | (469) ssItem(all_180_0_55) = 0
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (82), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (470) all_0_2_2 = 0
% 62.39/24.50 |
% 62.39/24.50 | From (470) and (61) follows:
% 62.39/24.50 | (471) memberP(all_0_3_3, all_0_8_8) = 0
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (168), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (472) ~ (app(all_0_5_5, nil) = all_0_14_14)
% 62.39/24.50 |
% 62.39/24.50 | Using (29) and (472) yields:
% 62.39/24.50 | (473) ~ (all_0_3_3 = nil)
% 62.39/24.50 |
% 62.39/24.50 +-Applying beta-rule and splitting (155), into two cases.
% 62.39/24.50 |-Branch one:
% 62.39/24.50 | (474) all_0_3_3 = nil
% 62.39/24.50 |
% 62.39/24.50 | Equations (474) can reduce 473 to:
% 62.39/24.50 | (274) $false
% 62.39/24.50 |
% 62.39/24.50 |-The branch is then unsatisfiable
% 62.39/24.50 |-Branch two:
% 62.39/24.50 | (473) ~ (all_0_3_3 = nil)
% 62.39/24.50 | (477) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 62.39/24.50 |
% 62.39/24.50 | Instantiating (477) with all_262_0_59, all_262_1_60 yields:
% 62.39/24.50 | (478) ssList(all_262_1_60) = 0 & cons(all_262_0_59, all_262_1_60) = all_0_3_3 & ssItem(all_262_0_59) = 0
% 62.39/24.50 |
% 62.39/24.50 | Applying alpha-rule on (478) yields:
% 62.39/24.50 | (479) ssList(all_262_1_60) = 0
% 62.39/24.50 | (480) cons(all_262_0_59, all_262_1_60) = all_0_3_3
% 62.39/24.51 | (481) ssItem(all_262_0_59) = 0
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (11) with all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, yields:
% 62.39/24.51 | (482) all_120_1_50 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_120_1_50 & ssItem(v1) = 0)
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (115) with all_0_3_3, all_262_0_59, all_262_1_60 and discharging atoms ssList(all_262_1_60) = 0, cons(all_262_0_59, all_262_1_60) = all_0_3_3, yields:
% 62.39/24.51 | (483) ? [v0] : ? [v1] : (tl(all_0_3_3) = v1 & ssItem(all_262_0_59) = v0 & ( ~ (v0 = 0) | v1 = all_262_1_60))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (17) with all_0_3_3, all_262_0_59, all_262_1_60 and discharging atoms ssList(all_262_1_60) = 0, cons(all_262_0_59, all_262_1_60) = all_0_3_3, yields:
% 62.39/24.51 | (484) ? [v0] : ? [v1] : (hd(all_0_3_3) = v1 & ssItem(all_262_0_59) = v0 & ( ~ (v0 = 0) | v1 = all_262_0_59))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (115) with all_0_14_14, all_180_0_55, all_180_1_56 and discharging atoms ssList(all_180_1_56) = 0, cons(all_180_0_55, all_180_1_56) = all_0_14_14, yields:
% 62.39/24.51 | (485) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_180_0_55) = v0 & ( ~ (v0 = 0) | v1 = all_180_1_56))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (141) with all_0_8_8, all_0_7_7, all_120_0_49, nil, all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, ssList(nil) = 0, cons(all_120_0_49, all_120_1_50) = all_0_7_7, cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.39/24.51 | (486) all_120_1_50 = nil | ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (115) with all_0_7_7, all_120_0_49, all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, cons(all_120_0_49, all_120_1_50) = all_0_7_7, yields:
% 62.39/24.51 | (487) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_1_50))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (17) with all_0_7_7, all_120_0_49, all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, cons(all_120_0_49, all_120_1_50) = all_0_7_7, yields:
% 62.39/24.51 | (488) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_0_49))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (35) with all_8_1_17, all_0_7_7, all_120_0_49, all_0_3_3 and discharging atoms ssList(all_0_3_3) = 0, app(all_0_7_7, all_0_3_3) = all_8_1_17, yields:
% 62.39/24.51 | (489) ~ (cons(all_120_0_49, nil) = all_0_7_7) | ? [v0] : ? [v1] : (cons(all_120_0_49, all_0_3_3) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_8_1_17))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (115) with all_0_14_14, all_0_12_12, nil and discharging atoms ssList(nil) = 0, cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (490) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (17) with all_0_14_14, all_0_12_12, nil and discharging atoms ssList(nil) = 0, cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (491) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = all_0_12_12))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (90) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (492) ? [v0] : ? [v1] : (equalelemsP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (92) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (493) ? [v0] : ? [v1] : (duplicatefreeP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (33) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (494) ? [v0] : ? [v1] : (strictorderedP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (145) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (495) ? [v0] : ? [v1] : (totalorderedP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (97) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (496) ? [v0] : ? [v1] : (strictorderP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (134) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (497) ? [v0] : ? [v1] : (totalorderP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (36) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 62.39/24.51 | (498) ? [v0] : ? [v1] : (cyclefreeP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (87) with 0, all_0_3_3, all_262_1_60, all_262_0_59, all_0_8_8 and discharging atoms memberP(all_0_3_3, all_0_8_8) = 0, cons(all_262_0_59, all_262_1_60) = all_0_3_3, ssItem(all_262_0_59) = 0, ssItem(all_0_8_8) = 0, yields:
% 62.39/24.51 | (499) ? [v0] : ? [v1] : (memberP(all_262_1_60, all_0_8_8) = v1 & ssList(all_262_1_60) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_262_0_59 = all_0_8_8))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating formula (21) with all_8_1_17, all_0_3_3, all_262_1_60, all_0_6_6, all_262_0_59, all_0_8_8, all_0_14_14 and discharging atoms ssList(all_0_6_6) = 0, cons(all_262_0_59, all_262_1_60) = all_0_3_3, cons(all_0_8_8, all_0_3_3) = all_8_1_17, app(all_0_6_6, all_8_1_17) = all_0_14_14, ssItem(all_262_0_59) = 0, ssItem(all_0_8_8) = 0, yields:
% 62.39/24.51 | (500) all_262_0_59 = all_0_8_8 | ~ (equalelemsP(all_0_14_14) = 0) | ? [v0] : (( ~ (v0 = 0) & ssList(all_262_1_60) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 62.39/24.51 |
% 62.39/24.51 | Instantiating (497) with all_341_0_126, all_341_1_127 yields:
% 62.39/24.51 | (501) totalorderP(all_0_14_14) = all_341_0_126 & ssItem(all_0_12_12) = all_341_1_127 & ( ~ (all_341_1_127 = 0) | all_341_0_126 = 0)
% 62.39/24.51 |
% 62.39/24.51 | Applying alpha-rule on (501) yields:
% 62.39/24.51 | (502) totalorderP(all_0_14_14) = all_341_0_126
% 62.39/24.51 | (503) ssItem(all_0_12_12) = all_341_1_127
% 62.39/24.51 | (504) ~ (all_341_1_127 = 0) | all_341_0_126 = 0
% 62.39/24.51 |
% 62.39/24.51 | Instantiating (496) with all_343_0_128, all_343_1_129 yields:
% 62.39/24.51 | (505) strictorderP(all_0_14_14) = all_343_0_128 & ssItem(all_0_12_12) = all_343_1_129 & ( ~ (all_343_1_129 = 0) | all_343_0_128 = 0)
% 62.39/24.51 |
% 62.39/24.51 | Applying alpha-rule on (505) yields:
% 62.39/24.51 | (506) strictorderP(all_0_14_14) = all_343_0_128
% 62.39/24.51 | (507) ssItem(all_0_12_12) = all_343_1_129
% 62.39/24.51 | (508) ~ (all_343_1_129 = 0) | all_343_0_128 = 0
% 62.39/24.51 |
% 62.39/24.51 | Instantiating (484) with all_353_0_138, all_353_1_139 yields:
% 62.39/24.51 | (509) hd(all_0_3_3) = all_353_0_138 & ssItem(all_262_0_59) = all_353_1_139 & ( ~ (all_353_1_139 = 0) | all_353_0_138 = all_262_0_59)
% 62.39/24.51 |
% 62.39/24.51 | Applying alpha-rule on (509) yields:
% 62.39/24.51 | (510) hd(all_0_3_3) = all_353_0_138
% 62.39/24.51 | (511) ssItem(all_262_0_59) = all_353_1_139
% 62.39/24.51 | (512) ~ (all_353_1_139 = 0) | all_353_0_138 = all_262_0_59
% 62.39/24.51 |
% 62.39/24.51 | Instantiating (483) with all_355_0_140, all_355_1_141 yields:
% 62.39/24.51 | (513) tl(all_0_3_3) = all_355_0_140 & ssItem(all_262_0_59) = all_355_1_141 & ( ~ (all_355_1_141 = 0) | all_355_0_140 = all_262_1_60)
% 62.39/24.51 |
% 62.39/24.51 | Applying alpha-rule on (513) yields:
% 62.39/24.51 | (514) tl(all_0_3_3) = all_355_0_140
% 62.39/24.51 | (515) ssItem(all_262_0_59) = all_355_1_141
% 62.39/24.51 | (516) ~ (all_355_1_141 = 0) | all_355_0_140 = all_262_1_60
% 62.39/24.51 |
% 62.39/24.51 | Instantiating (498) with all_357_0_142, all_357_1_143 yields:
% 62.39/24.51 | (517) cyclefreeP(all_0_14_14) = all_357_0_142 & ssItem(all_0_12_12) = all_357_1_143 & ( ~ (all_357_1_143 = 0) | all_357_0_142 = 0)
% 62.39/24.51 |
% 62.39/24.51 | Applying alpha-rule on (517) yields:
% 62.39/24.51 | (518) cyclefreeP(all_0_14_14) = all_357_0_142
% 62.39/24.51 | (519) ssItem(all_0_12_12) = all_357_1_143
% 62.39/24.51 | (520) ~ (all_357_1_143 = 0) | all_357_0_142 = 0
% 62.39/24.51 |
% 62.39/24.51 | Instantiating (495) with all_361_0_156, all_361_1_157 yields:
% 62.39/24.51 | (521) totalorderedP(all_0_14_14) = all_361_0_156 & ssItem(all_0_12_12) = all_361_1_157 & ( ~ (all_361_1_157 = 0) | all_361_0_156 = 0)
% 62.39/24.51 |
% 62.39/24.51 | Applying alpha-rule on (521) yields:
% 62.39/24.51 | (522) totalorderedP(all_0_14_14) = all_361_0_156
% 62.39/24.51 | (523) ssItem(all_0_12_12) = all_361_1_157
% 62.39/24.51 | (524) ~ (all_361_1_157 = 0) | all_361_0_156 = 0
% 62.39/24.51 |
% 62.39/24.51 | Instantiating (494) with all_363_0_158, all_363_1_159 yields:
% 62.39/24.51 | (525) strictorderedP(all_0_14_14) = all_363_0_158 & ssItem(all_0_12_12) = all_363_1_159 & ( ~ (all_363_1_159 = 0) | all_363_0_158 = 0)
% 62.39/24.51 |
% 62.39/24.51 | Applying alpha-rule on (525) yields:
% 62.39/24.51 | (526) strictorderedP(all_0_14_14) = all_363_0_158
% 62.39/24.51 | (527) ssItem(all_0_12_12) = all_363_1_159
% 62.39/24.52 | (528) ~ (all_363_1_159 = 0) | all_363_0_158 = 0
% 62.39/24.52 |
% 62.39/24.52 | Instantiating (493) with all_365_0_160, all_365_1_161 yields:
% 62.39/24.52 | (529) duplicatefreeP(all_0_14_14) = all_365_0_160 & ssItem(all_0_12_12) = all_365_1_161 & ( ~ (all_365_1_161 = 0) | all_365_0_160 = 0)
% 62.39/24.52 |
% 62.39/24.52 | Applying alpha-rule on (529) yields:
% 62.39/24.52 | (530) duplicatefreeP(all_0_14_14) = all_365_0_160
% 62.39/24.52 | (531) ssItem(all_0_12_12) = all_365_1_161
% 62.39/24.52 | (532) ~ (all_365_1_161 = 0) | all_365_0_160 = 0
% 62.39/24.52 |
% 62.39/24.52 | Instantiating (492) with all_367_0_162, all_367_1_163 yields:
% 62.39/24.52 | (533) equalelemsP(all_0_14_14) = all_367_0_162 & ssItem(all_0_12_12) = all_367_1_163 & ( ~ (all_367_1_163 = 0) | all_367_0_162 = 0)
% 62.39/24.52 |
% 62.39/24.52 | Applying alpha-rule on (533) yields:
% 62.39/24.52 | (534) equalelemsP(all_0_14_14) = all_367_0_162
% 62.39/24.52 | (535) ssItem(all_0_12_12) = all_367_1_163
% 62.39/24.52 | (536) ~ (all_367_1_163 = 0) | all_367_0_162 = 0
% 62.39/24.52 |
% 62.39/24.52 | Instantiating (499) with all_369_0_164, all_369_1_165 yields:
% 62.39/24.52 | (537) memberP(all_262_1_60, all_0_8_8) = all_369_0_164 & ssList(all_262_1_60) = all_369_1_165 & ( ~ (all_369_1_165 = 0) | all_369_0_164 = 0 | all_262_0_59 = all_0_8_8)
% 62.39/24.52 |
% 62.39/24.52 | Applying alpha-rule on (537) yields:
% 62.39/24.52 | (538) memberP(all_262_1_60, all_0_8_8) = all_369_0_164
% 62.39/24.52 | (539) ssList(all_262_1_60) = all_369_1_165
% 62.39/24.52 | (540) ~ (all_369_1_165 = 0) | all_369_0_164 = 0 | all_262_0_59 = all_0_8_8
% 62.39/24.52 |
% 62.39/24.52 | Instantiating (488) with all_371_0_166, all_371_1_167 yields:
% 62.39/24.52 | (541) hd(all_0_7_7) = all_371_0_166 & ssItem(all_120_0_49) = all_371_1_167 & ( ~ (all_371_1_167 = 0) | all_371_0_166 = all_120_0_49)
% 62.39/24.52 |
% 62.39/24.52 | Applying alpha-rule on (541) yields:
% 62.39/24.52 | (542) hd(all_0_7_7) = all_371_0_166
% 62.39/24.52 | (543) ssItem(all_120_0_49) = all_371_1_167
% 62.39/24.52 | (544) ~ (all_371_1_167 = 0) | all_371_0_166 = all_120_0_49
% 62.39/24.52 |
% 62.39/24.52 | Instantiating (487) with all_373_0_168, all_373_1_169 yields:
% 62.39/24.52 | (545) tl(all_0_7_7) = all_373_0_168 & ssItem(all_120_0_49) = all_373_1_169 & ( ~ (all_373_1_169 = 0) | all_373_0_168 = all_120_1_50)
% 62.39/24.52 |
% 62.39/24.52 | Applying alpha-rule on (545) yields:
% 62.39/24.52 | (546) tl(all_0_7_7) = all_373_0_168
% 62.39/24.52 | (547) ssItem(all_120_0_49) = all_373_1_169
% 62.39/24.52 | (548) ~ (all_373_1_169 = 0) | all_373_0_168 = all_120_1_50
% 62.39/24.52 |
% 62.39/24.52 | Instantiating (491) with all_381_0_176, all_381_1_177 yields:
% 62.39/24.52 | (549) hd(all_0_14_14) = all_381_0_176 & ssItem(all_0_12_12) = all_381_1_177 & ( ~ (all_381_1_177 = 0) | all_381_0_176 = all_0_12_12)
% 62.39/24.52 |
% 62.39/24.52 | Applying alpha-rule on (549) yields:
% 62.39/24.52 | (550) hd(all_0_14_14) = all_381_0_176
% 62.39/24.52 | (551) ssItem(all_0_12_12) = all_381_1_177
% 62.39/24.52 | (552) ~ (all_381_1_177 = 0) | all_381_0_176 = all_0_12_12
% 62.39/24.52 |
% 62.39/24.52 | Instantiating (490) with all_383_0_178, all_383_1_179 yields:
% 62.39/24.52 | (553) tl(all_0_14_14) = all_383_0_178 & ssItem(all_0_12_12) = all_383_1_179 & ( ~ (all_383_1_179 = 0) | all_383_0_178 = nil)
% 62.39/24.52 |
% 62.39/24.52 | Applying alpha-rule on (553) yields:
% 62.39/24.52 | (554) tl(all_0_14_14) = all_383_0_178
% 62.39/24.52 | (555) ssItem(all_0_12_12) = all_383_1_179
% 62.39/24.52 | (556) ~ (all_383_1_179 = 0) | all_383_0_178 = nil
% 62.39/24.52 |
% 62.39/24.52 | Instantiating (485) with all_387_0_182, all_387_1_183 yields:
% 62.39/24.52 | (557) tl(all_0_14_14) = all_387_0_182 & ssItem(all_180_0_55) = all_387_1_183 & ( ~ (all_387_1_183 = 0) | all_387_0_182 = all_180_1_56)
% 62.39/24.52 |
% 62.39/24.52 | Applying alpha-rule on (557) yields:
% 62.39/24.52 | (558) tl(all_0_14_14) = all_387_0_182
% 62.39/24.52 | (559) ssItem(all_180_0_55) = all_387_1_183
% 62.39/24.52 | (560) ~ (all_387_1_183 = 0) | all_387_0_182 = all_180_1_56
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (24) with all_0_7_7, all_373_0_168, nil and discharging atoms tl(all_0_7_7) = all_373_0_168, tl(all_0_7_7) = nil, yields:
% 62.39/24.52 | (561) all_373_0_168 = nil
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (24) with all_0_14_14, all_383_0_178, all_387_0_182 and discharging atoms tl(all_0_14_14) = all_387_0_182, tl(all_0_14_14) = all_383_0_178, yields:
% 62.39/24.52 | (562) all_387_0_182 = all_383_0_178
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (94) with all_0_7_7, all_371_0_166, all_0_8_8 and discharging atoms hd(all_0_7_7) = all_371_0_166, hd(all_0_7_7) = all_0_8_8, yields:
% 62.39/24.52 | (563) all_371_0_166 = all_0_8_8
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (49) with all_262_1_60, all_369_1_165, 0 and discharging atoms ssList(all_262_1_60) = all_369_1_165, ssList(all_262_1_60) = 0, yields:
% 62.39/24.52 | (564) all_369_1_165 = 0
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_262_0_59, all_355_1_141, 0 and discharging atoms ssItem(all_262_0_59) = all_355_1_141, ssItem(all_262_0_59) = 0, yields:
% 62.39/24.52 | (565) all_355_1_141 = 0
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_262_0_59, all_353_1_139, all_355_1_141 and discharging atoms ssItem(all_262_0_59) = all_355_1_141, ssItem(all_262_0_59) = all_353_1_139, yields:
% 62.39/24.52 | (566) all_355_1_141 = all_353_1_139
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_180_0_55, all_387_1_183, 0 and discharging atoms ssItem(all_180_0_55) = all_387_1_183, ssItem(all_180_0_55) = 0, yields:
% 62.39/24.52 | (567) all_387_1_183 = 0
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_120_0_49, all_373_1_169, 0 and discharging atoms ssItem(all_120_0_49) = all_373_1_169, ssItem(all_120_0_49) = 0, yields:
% 62.39/24.52 | (568) all_373_1_169 = 0
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_120_0_49, all_371_1_167, all_373_1_169 and discharging atoms ssItem(all_120_0_49) = all_373_1_169, ssItem(all_120_0_49) = all_371_1_167, yields:
% 62.39/24.52 | (569) all_373_1_169 = all_371_1_167
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_383_1_179, 0 and discharging atoms ssItem(all_0_12_12) = all_383_1_179, ssItem(all_0_12_12) = 0, yields:
% 62.39/24.52 | (570) all_383_1_179 = 0
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_367_1_163, all_383_1_179 and discharging atoms ssItem(all_0_12_12) = all_383_1_179, ssItem(all_0_12_12) = all_367_1_163, yields:
% 62.39/24.52 | (571) all_383_1_179 = all_367_1_163
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_365_1_161, all_381_1_177 and discharging atoms ssItem(all_0_12_12) = all_381_1_177, ssItem(all_0_12_12) = all_365_1_161, yields:
% 62.39/24.52 | (572) all_381_1_177 = all_365_1_161
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_363_1_159, all_383_1_179 and discharging atoms ssItem(all_0_12_12) = all_383_1_179, ssItem(all_0_12_12) = all_363_1_159, yields:
% 62.39/24.52 | (573) all_383_1_179 = all_363_1_159
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_361_1_157, all_383_1_179 and discharging atoms ssItem(all_0_12_12) = all_383_1_179, ssItem(all_0_12_12) = all_361_1_157, yields:
% 62.39/24.52 | (574) all_383_1_179 = all_361_1_157
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_361_1_157, all_381_1_177 and discharging atoms ssItem(all_0_12_12) = all_381_1_177, ssItem(all_0_12_12) = all_361_1_157, yields:
% 62.39/24.52 | (575) all_381_1_177 = all_361_1_157
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_357_1_143, all_381_1_177 and discharging atoms ssItem(all_0_12_12) = all_381_1_177, ssItem(all_0_12_12) = all_357_1_143, yields:
% 62.39/24.52 | (576) all_381_1_177 = all_357_1_143
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_343_1_129, all_367_1_163 and discharging atoms ssItem(all_0_12_12) = all_367_1_163, ssItem(all_0_12_12) = all_343_1_129, yields:
% 62.39/24.52 | (577) all_367_1_163 = all_343_1_129
% 62.39/24.52 |
% 62.39/24.52 | Instantiating formula (89) with all_0_12_12, all_341_1_127, all_361_1_157 and discharging atoms ssItem(all_0_12_12) = all_361_1_157, ssItem(all_0_12_12) = all_341_1_127, yields:
% 62.39/24.52 | (578) all_361_1_157 = all_341_1_127
% 62.39/24.52 |
% 62.39/24.52 | Combining equations (571,573) yields a new equation:
% 62.39/24.52 | (579) all_367_1_163 = all_363_1_159
% 62.39/24.52 |
% 62.39/24.52 | Simplifying 579 yields:
% 62.39/24.52 | (580) all_367_1_163 = all_363_1_159
% 62.39/24.52 |
% 62.39/24.52 | Combining equations (570,573) yields a new equation:
% 62.39/24.52 | (581) all_363_1_159 = 0
% 62.39/24.52 |
% 62.39/24.52 | Combining equations (574,573) yields a new equation:
% 62.39/24.52 | (582) all_363_1_159 = all_361_1_157
% 62.39/24.52 |
% 62.39/24.52 | Combining equations (576,572) yields a new equation:
% 62.39/24.52 | (583) all_365_1_161 = all_357_1_143
% 62.39/24.52 |
% 62.39/24.52 | Combining equations (575,572) yields a new equation:
% 62.39/24.52 | (584) all_365_1_161 = all_361_1_157
% 62.39/24.52 |
% 62.39/24.52 | Combining equations (568,569) yields a new equation:
% 62.39/24.52 | (585) all_371_1_167 = 0
% 62.39/24.52 |
% 62.39/24.53 | Combining equations (580,577) yields a new equation:
% 62.39/24.53 | (586) all_363_1_159 = all_343_1_129
% 62.39/24.53 |
% 62.39/24.53 | Simplifying 586 yields:
% 62.39/24.53 | (587) all_363_1_159 = all_343_1_129
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (584,583) yields a new equation:
% 62.39/24.53 | (588) all_361_1_157 = all_357_1_143
% 62.39/24.53 |
% 62.39/24.53 | Simplifying 588 yields:
% 62.39/24.53 | (589) all_361_1_157 = all_357_1_143
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (582,587) yields a new equation:
% 62.39/24.53 | (590) all_361_1_157 = all_343_1_129
% 62.39/24.53 |
% 62.39/24.53 | Simplifying 590 yields:
% 62.39/24.53 | (591) all_361_1_157 = all_343_1_129
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (581,587) yields a new equation:
% 62.39/24.53 | (592) all_343_1_129 = 0
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (578,589) yields a new equation:
% 62.39/24.53 | (593) all_357_1_143 = all_341_1_127
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (591,589) yields a new equation:
% 62.39/24.53 | (594) all_357_1_143 = all_343_1_129
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (594,593) yields a new equation:
% 62.39/24.53 | (595) all_343_1_129 = all_341_1_127
% 62.39/24.53 |
% 62.39/24.53 | Simplifying 595 yields:
% 62.39/24.53 | (596) all_343_1_129 = all_341_1_127
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (565,566) yields a new equation:
% 62.39/24.53 | (597) all_353_1_139 = 0
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (596,592) yields a new equation:
% 62.39/24.53 | (598) all_341_1_127 = 0
% 62.39/24.53 |
% 62.39/24.53 | Simplifying 598 yields:
% 62.39/24.53 | (599) all_341_1_127 = 0
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (599,593) yields a new equation:
% 62.39/24.53 | (600) all_357_1_143 = 0
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (592,587) yields a new equation:
% 62.39/24.53 | (581) all_363_1_159 = 0
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (600,583) yields a new equation:
% 62.39/24.53 | (602) all_365_1_161 = 0
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (592,577) yields a new equation:
% 62.39/24.53 | (603) all_367_1_163 = 0
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (585,569) yields a new equation:
% 62.39/24.53 | (568) all_373_1_169 = 0
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (581,573) yields a new equation:
% 62.39/24.53 | (570) all_383_1_179 = 0
% 62.39/24.53 |
% 62.39/24.53 | From (562) and (558) follows:
% 62.39/24.53 | (554) tl(all_0_14_14) = all_383_0_178
% 62.39/24.53 |
% 62.39/24.53 | From (564) and (539) follows:
% 62.39/24.53 | (479) ssList(all_262_1_60) = 0
% 62.39/24.53 |
% 62.39/24.53 | From (597) and (511) follows:
% 62.39/24.53 | (481) ssItem(all_262_0_59) = 0
% 62.39/24.53 |
% 62.39/24.53 +-Applying beta-rule and splitting (532), into two cases.
% 62.39/24.53 |-Branch one:
% 62.39/24.53 | (609) ~ (all_365_1_161 = 0)
% 62.39/24.53 |
% 62.39/24.53 | Equations (602) can reduce 609 to:
% 62.39/24.53 | (274) $false
% 62.39/24.53 |
% 62.39/24.53 |-The branch is then unsatisfiable
% 62.39/24.53 |-Branch two:
% 62.39/24.53 | (602) all_365_1_161 = 0
% 62.39/24.53 | (612) all_365_0_160 = 0
% 62.39/24.53 |
% 62.39/24.53 | From (612) and (530) follows:
% 62.39/24.53 | (613) duplicatefreeP(all_0_14_14) = 0
% 62.39/24.53 |
% 62.39/24.53 +-Applying beta-rule and splitting (486), into two cases.
% 62.39/24.53 |-Branch one:
% 62.39/24.53 | (614) all_120_1_50 = nil
% 62.39/24.53 |
% 62.39/24.53 | From (614) and (357) follows:
% 62.39/24.53 | (615) cons(all_120_0_49, nil) = all_0_7_7
% 62.39/24.53 |
% 62.39/24.53 +-Applying beta-rule and splitting (489), into two cases.
% 62.39/24.53 |-Branch one:
% 62.39/24.53 | (616) ~ (cons(all_120_0_49, nil) = all_0_7_7)
% 62.39/24.53 |
% 62.39/24.53 | Using (615) and (616) yields:
% 62.39/24.53 | (617) $false
% 62.39/24.53 |
% 62.39/24.53 |-The branch is then unsatisfiable
% 62.39/24.53 |-Branch two:
% 62.39/24.53 | (615) cons(all_120_0_49, nil) = all_0_7_7
% 62.39/24.53 | (619) ? [v0] : ? [v1] : (cons(all_120_0_49, all_0_3_3) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_8_1_17))
% 62.39/24.53 |
% 62.39/24.53 | Instantiating (619) with all_439_0_186, all_439_1_187 yields:
% 62.39/24.53 | (620) cons(all_120_0_49, all_0_3_3) = all_439_0_186 & ssItem(all_120_0_49) = all_439_1_187 & ( ~ (all_439_1_187 = 0) | all_439_0_186 = all_8_1_17)
% 62.39/24.53 |
% 62.39/24.53 | Applying alpha-rule on (620) yields:
% 62.39/24.53 | (621) cons(all_120_0_49, all_0_3_3) = all_439_0_186
% 62.39/24.53 | (622) ssItem(all_120_0_49) = all_439_1_187
% 62.39/24.53 | (623) ~ (all_439_1_187 = 0) | all_439_0_186 = all_8_1_17
% 62.39/24.53 |
% 62.39/24.53 +-Applying beta-rule and splitting (544), into two cases.
% 62.39/24.53 |-Branch one:
% 62.39/24.53 | (624) ~ (all_371_1_167 = 0)
% 62.39/24.53 |
% 62.39/24.53 | Equations (585) can reduce 624 to:
% 62.39/24.53 | (274) $false
% 62.39/24.53 |
% 62.39/24.53 |-The branch is then unsatisfiable
% 62.39/24.53 |-Branch two:
% 62.39/24.53 | (585) all_371_1_167 = 0
% 62.39/24.53 | (627) all_371_0_166 = all_120_0_49
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (627,563) yields a new equation:
% 62.39/24.53 | (628) all_120_0_49 = all_0_8_8
% 62.39/24.53 |
% 62.39/24.53 | Simplifying 628 yields:
% 62.39/24.53 | (629) all_120_0_49 = all_0_8_8
% 62.39/24.53 |
% 62.39/24.53 | From (629) and (615) follows:
% 62.39/24.53 | (86) cons(all_0_8_8, nil) = all_0_7_7
% 62.39/24.53 |
% 62.39/24.53 | From (629) and (622) follows:
% 62.39/24.53 | (631) ssItem(all_0_8_8) = all_439_1_187
% 62.39/24.53 |
% 62.39/24.53 +-Applying beta-rule and splitting (536), into two cases.
% 62.39/24.53 |-Branch one:
% 62.39/24.53 | (632) ~ (all_367_1_163 = 0)
% 62.39/24.53 |
% 62.39/24.53 | Equations (603) can reduce 632 to:
% 62.39/24.53 | (274) $false
% 62.39/24.53 |
% 62.39/24.53 |-The branch is then unsatisfiable
% 62.39/24.53 |-Branch two:
% 62.39/24.53 | (603) all_367_1_163 = 0
% 62.39/24.53 | (635) all_367_0_162 = 0
% 62.39/24.53 |
% 62.39/24.53 | From (635) and (534) follows:
% 62.39/24.53 | (636) equalelemsP(all_0_14_14) = 0
% 62.39/24.53 |
% 62.39/24.53 +-Applying beta-rule and splitting (560), into two cases.
% 62.39/24.53 |-Branch one:
% 62.39/24.53 | (637) ~ (all_387_1_183 = 0)
% 62.39/24.53 |
% 62.39/24.53 | Equations (567) can reduce 637 to:
% 62.39/24.53 | (274) $false
% 62.39/24.53 |
% 62.39/24.53 |-The branch is then unsatisfiable
% 62.39/24.53 |-Branch two:
% 62.39/24.53 | (567) all_387_1_183 = 0
% 62.39/24.53 | (640) all_387_0_182 = all_180_1_56
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (640,562) yields a new equation:
% 62.39/24.53 | (641) all_383_0_178 = all_180_1_56
% 62.39/24.53 |
% 62.39/24.53 | From (641) and (554) follows:
% 62.39/24.53 | (642) tl(all_0_14_14) = all_180_1_56
% 62.39/24.53 |
% 62.39/24.53 +-Applying beta-rule and splitting (556), into two cases.
% 62.39/24.53 |-Branch one:
% 62.39/24.53 | (643) ~ (all_383_1_179 = 0)
% 62.39/24.53 |
% 62.39/24.53 | Equations (570) can reduce 643 to:
% 62.39/24.53 | (274) $false
% 62.39/24.53 |
% 62.39/24.53 |-The branch is then unsatisfiable
% 62.39/24.53 |-Branch two:
% 62.39/24.53 | (570) all_383_1_179 = 0
% 62.39/24.53 | (646) all_383_0_178 = nil
% 62.39/24.53 |
% 62.39/24.53 | Combining equations (641,646) yields a new equation:
% 62.39/24.54 | (647) all_180_1_56 = nil
% 62.39/24.54 |
% 62.39/24.54 | Simplifying 647 yields:
% 62.39/24.54 | (648) all_180_1_56 = nil
% 62.39/24.54 |
% 62.39/24.54 | From (648) and (642) follows:
% 62.39/24.54 | (649) tl(all_0_14_14) = nil
% 62.39/24.54 |
% 62.39/24.54 | From (648) and (467) follows:
% 62.39/24.54 | (104) ssList(nil) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (500), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (651) ~ (equalelemsP(all_0_14_14) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (636) and (651) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (636) equalelemsP(all_0_14_14) = 0
% 62.39/24.54 | (654) all_262_0_59 = all_0_8_8 | ? [v0] : (( ~ (v0 = 0) & ssList(all_262_1_60) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (654), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (655) all_262_0_59 = all_0_8_8
% 62.39/24.54 |
% 62.39/24.54 | From (655) and (480) follows:
% 62.39/24.54 | (656) cons(all_0_8_8, all_262_1_60) = all_0_3_3
% 62.39/24.54 |
% 62.39/24.54 | From (655) and (481) follows:
% 62.39/24.54 | (112) ssItem(all_0_8_8) = 0
% 62.39/24.54 |
% 62.39/24.54 | Instantiating formula (89) with all_0_8_8, all_439_1_187, 0 and discharging atoms ssItem(all_0_8_8) = all_439_1_187, ssItem(all_0_8_8) = 0, yields:
% 62.39/24.54 | (658) all_439_1_187 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (658) and (631) follows:
% 62.39/24.54 | (112) ssItem(all_0_8_8) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (233), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (660) ~ (ssList(all_0_13_13) = all_9_1_20)
% 62.39/24.54 |
% 62.39/24.54 | From (283) and (660) follows:
% 62.39/24.54 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (72) and (661) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (663) ssList(all_0_13_13) = all_9_1_20
% 62.39/24.54 | (283) all_9_1_20 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (283) and (663) follows:
% 62.39/24.54 | (72) ssList(all_0_13_13) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (226), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (666) ~ (ssList(nil) = all_9_0_19)
% 62.39/24.54 |
% 62.39/24.54 | From (288) and (666) follows:
% 62.39/24.54 | (667) ~ (ssList(nil) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (104) and (667) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (669) ssList(nil) = all_9_0_19
% 62.39/24.54 | (288) all_9_0_19 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (288) and (669) follows:
% 62.39/24.54 | (104) ssList(nil) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (229), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (672) ~ (ssList(all_0_14_14) = all_21_0_31)
% 62.39/24.54 |
% 62.39/24.54 | From (281) and (672) follows:
% 62.39/24.54 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (88) and (673) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (675) ssList(all_0_14_14) = all_21_0_31
% 62.39/24.54 | (281) all_21_0_31 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (281) and (675) follows:
% 62.39/24.54 | (88) ssList(all_0_14_14) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (228), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (678) ~ (ssList(all_0_13_13) = all_21_0_31)
% 62.39/24.54 |
% 62.39/24.54 | From (281) and (678) follows:
% 62.39/24.54 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (72) and (661) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (681) ssList(all_0_13_13) = all_21_0_31
% 62.39/24.54 | (281) all_21_0_31 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (281) and (681) follows:
% 62.39/24.54 | (72) ssList(all_0_13_13) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (223), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (684) ~ (ssList(all_0_6_6) = all_9_0_19)
% 62.39/24.54 |
% 62.39/24.54 | From (288) and (684) follows:
% 62.39/24.54 | (685) ~ (ssList(all_0_6_6) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (78) and (685) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (687) ssList(all_0_6_6) = all_9_0_19
% 62.39/24.54 | (288) all_9_0_19 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (288) and (687) follows:
% 62.39/24.54 | (78) ssList(all_0_6_6) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (236), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (690) ~ (ssList(all_0_7_7) = all_9_0_19)
% 62.39/24.54 |
% 62.39/24.54 | From (288) and (690) follows:
% 62.39/24.54 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (284) and (691) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (693) ssList(all_0_7_7) = all_9_0_19
% 62.39/24.54 | (694) all_9_0_19 = all_9_1_20
% 62.39/24.54 |
% 62.39/24.54 | Combining equations (694,288) yields a new equation:
% 62.39/24.54 | (282) all_9_1_20 = 0
% 62.39/24.54 |
% 62.39/24.54 | Simplifying 282 yields:
% 62.39/24.54 | (283) all_9_1_20 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (288) and (693) follows:
% 62.39/24.54 | (284) ssList(all_0_7_7) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (230), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (698) ~ (ssList(nil) = all_21_0_31)
% 62.39/24.54 |
% 62.39/24.54 | From (281) and (698) follows:
% 62.39/24.54 | (667) ~ (ssList(nil) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (104) and (667) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (701) ssList(nil) = all_21_0_31
% 62.39/24.54 | (281) all_21_0_31 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (281) and (701) follows:
% 62.39/24.54 | (104) ssList(nil) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (225), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (704) ~ (ssList(all_0_14_14) = all_9_0_19)
% 62.39/24.54 |
% 62.39/24.54 | From (288) and (704) follows:
% 62.39/24.54 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.39/24.54 |
% 62.39/24.54 | Using (88) and (673) yields:
% 62.39/24.54 | (617) $false
% 62.39/24.54 |
% 62.39/24.54 |-The branch is then unsatisfiable
% 62.39/24.54 |-Branch two:
% 62.39/24.54 | (707) ssList(all_0_14_14) = all_9_0_19
% 62.39/24.54 | (288) all_9_0_19 = 0
% 62.39/24.54 |
% 62.39/24.54 | From (288) and (707) follows:
% 62.39/24.54 | (88) ssList(all_0_14_14) = 0
% 62.39/24.54 |
% 62.39/24.54 +-Applying beta-rule and splitting (234), into two cases.
% 62.39/24.54 |-Branch one:
% 62.39/24.54 | (710) ~ (ssList(all_0_14_14) = all_9_1_20)
% 62.39/24.55 |
% 62.39/24.55 | From (283) and (710) follows:
% 62.39/24.55 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.39/24.55 |
% 62.39/24.55 | Using (88) and (673) yields:
% 62.39/24.55 | (617) $false
% 62.39/24.55 |
% 62.39/24.55 |-The branch is then unsatisfiable
% 62.39/24.55 |-Branch two:
% 62.39/24.55 | (713) ssList(all_0_14_14) = all_9_1_20
% 62.39/24.55 | (283) all_9_1_20 = 0
% 62.39/24.55 |
% 62.39/24.55 | From (283) and (713) follows:
% 62.39/24.55 | (88) ssList(all_0_14_14) = 0
% 62.39/24.55 |
% 62.39/24.55 +-Applying beta-rule and splitting (222), into two cases.
% 62.39/24.55 |-Branch one:
% 62.39/24.55 | (716) ~ (ssList(all_0_5_5) = 0)
% 62.39/24.55 |
% 62.39/24.55 | Using (289) and (716) yields:
% 62.39/24.55 | (617) $false
% 62.39/24.55 |
% 62.39/24.55 |-The branch is then unsatisfiable
% 62.39/24.55 |-Branch two:
% 62.39/24.55 | (289) ssList(all_0_5_5) = 0
% 62.39/24.55 | (288) all_9_0_19 = 0
% 62.39/24.55 |
% 62.39/24.55 +-Applying beta-rule and splitting (235), into two cases.
% 62.39/24.55 |-Branch one:
% 62.39/24.55 | (720) ~ (ssList(nil) = all_9_1_20)
% 62.39/24.55 |
% 62.39/24.55 | From (283) and (720) follows:
% 62.39/24.55 | (667) ~ (ssList(nil) = 0)
% 62.39/24.55 |
% 62.39/24.55 | Using (104) and (667) yields:
% 62.39/24.55 | (617) $false
% 62.39/24.55 |
% 62.39/24.55 |-The branch is then unsatisfiable
% 62.39/24.55 |-Branch two:
% 62.39/24.55 | (723) ssList(nil) = all_9_1_20
% 62.39/24.55 | (283) all_9_1_20 = 0
% 62.39/24.55 |
% 62.39/24.55 | From (283) and (723) follows:
% 62.39/24.55 | (104) ssList(nil) = 0
% 62.39/24.55 |
% 62.39/24.55 +-Applying beta-rule and splitting (232), into two cases.
% 62.39/24.55 |-Branch one:
% 62.39/24.55 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.39/24.55 |
% 62.39/24.55 | Using (284) and (691) yields:
% 62.39/24.55 | (617) $false
% 62.39/24.55 |
% 62.39/24.55 |-The branch is then unsatisfiable
% 62.39/24.55 |-Branch two:
% 62.39/24.55 | (284) ssList(all_0_7_7) = 0
% 62.39/24.55 | (283) all_9_1_20 = 0
% 62.39/24.55 |
% 62.39/24.55 +-Applying beta-rule and splitting (224), into two cases.
% 62.39/24.55 |-Branch one:
% 62.39/24.55 | (730) ~ (ssList(all_0_13_13) = all_9_0_19)
% 62.39/24.55 |
% 62.39/24.55 | From (288) and (730) follows:
% 62.39/24.55 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.39/24.55 |
% 62.39/24.55 | Using (72) and (661) yields:
% 62.39/24.55 | (617) $false
% 62.39/24.55 |
% 62.39/24.55 |-The branch is then unsatisfiable
% 62.39/24.55 |-Branch two:
% 62.39/24.55 | (733) ssList(all_0_13_13) = all_9_0_19
% 62.39/24.55 | (288) all_9_0_19 = 0
% 62.39/24.55 |
% 62.39/24.55 | From (288) and (733) follows:
% 62.39/24.55 | (72) ssList(all_0_13_13) = 0
% 62.39/24.55 |
% 62.39/24.55 +-Applying beta-rule and splitting (227), into two cases.
% 62.39/24.55 |-Branch one:
% 62.39/24.55 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.39/24.55 |
% 62.39/24.55 | Using (284) and (691) yields:
% 62.39/24.55 | (617) $false
% 62.39/24.55 |
% 62.39/24.55 |-The branch is then unsatisfiable
% 62.39/24.55 |-Branch two:
% 62.39/24.55 | (284) ssList(all_0_7_7) = 0
% 62.39/24.55 | (281) all_21_0_31 = 0
% 62.39/24.55 |
% 62.39/24.55 +-Applying beta-rule and splitting (231), into two cases.
% 62.39/24.55 |-Branch one:
% 62.39/24.55 | (690) ~ (ssList(all_0_7_7) = all_9_0_19)
% 62.39/24.55 |
% 62.39/24.55 | From (288) and (690) follows:
% 62.39/24.55 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.39/24.55 |
% 62.39/24.55 | Using (284) and (691) yields:
% 62.39/24.55 | (617) $false
% 62.39/24.55 |
% 62.39/24.55 |-The branch is then unsatisfiable
% 62.39/24.55 |-Branch two:
% 62.39/24.55 | (693) ssList(all_0_7_7) = all_9_0_19
% 62.39/24.55 | (744) all_21_0_31 = all_9_0_19
% 62.64/24.55 |
% 62.64/24.55 | Combining equations (281,744) yields a new equation:
% 62.64/24.55 | (288) all_9_0_19 = 0
% 62.64/24.55 |
% 62.64/24.55 | From (288) and (693) follows:
% 62.64/24.55 | (284) ssList(all_0_7_7) = 0
% 62.64/24.55 |
% 62.64/24.55 +-Applying beta-rule and splitting (311), into two cases.
% 62.64/24.55 |-Branch one:
% 62.64/24.55 | (747) ~ (ssList(all_0_5_5) = all_8_2_18)
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (747) follows:
% 62.64/24.55 | (716) ~ (ssList(all_0_5_5) = 0)
% 62.64/24.55 |
% 62.64/24.55 | Using (289) and (716) yields:
% 62.64/24.55 | (617) $false
% 62.64/24.55 |
% 62.64/24.55 |-The branch is then unsatisfiable
% 62.64/24.55 |-Branch two:
% 62.64/24.55 | (750) ssList(all_0_5_5) = all_8_2_18
% 62.64/24.55 | (294) all_8_2_18 = 0
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (750) follows:
% 62.64/24.55 | (289) ssList(all_0_5_5) = 0
% 62.64/24.55 |
% 62.64/24.55 +-Applying beta-rule and splitting (308), into two cases.
% 62.64/24.55 |-Branch one:
% 62.64/24.55 | (753) ~ (ssList(all_0_13_13) = all_8_2_18)
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (753) follows:
% 62.64/24.55 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.64/24.55 |
% 62.64/24.55 | Using (72) and (661) yields:
% 62.64/24.55 | (617) $false
% 62.64/24.55 |
% 62.64/24.55 |-The branch is then unsatisfiable
% 62.64/24.55 |-Branch two:
% 62.64/24.55 | (756) ssList(all_0_13_13) = all_8_2_18
% 62.64/24.55 | (294) all_8_2_18 = 0
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (756) follows:
% 62.64/24.55 | (72) ssList(all_0_13_13) = 0
% 62.64/24.55 |
% 62.64/24.55 +-Applying beta-rule and splitting (309), into two cases.
% 62.64/24.55 |-Branch one:
% 62.64/24.55 | (759) ~ (ssList(all_0_14_14) = all_8_2_18)
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (759) follows:
% 62.64/24.55 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.64/24.55 |
% 62.64/24.55 | Using (88) and (673) yields:
% 62.64/24.55 | (617) $false
% 62.64/24.55 |
% 62.64/24.55 |-The branch is then unsatisfiable
% 62.64/24.55 |-Branch two:
% 62.64/24.55 | (762) ssList(all_0_14_14) = all_8_2_18
% 62.64/24.55 | (294) all_8_2_18 = 0
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (762) follows:
% 62.64/24.55 | (88) ssList(all_0_14_14) = 0
% 62.64/24.55 |
% 62.64/24.55 +-Applying beta-rule and splitting (312), into two cases.
% 62.64/24.55 |-Branch one:
% 62.64/24.55 | (765) ~ (ssList(all_0_7_7) = all_8_2_18)
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (765) follows:
% 62.64/24.55 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.64/24.55 |
% 62.64/24.55 | Using (284) and (691) yields:
% 62.64/24.55 | (617) $false
% 62.64/24.55 |
% 62.64/24.55 |-The branch is then unsatisfiable
% 62.64/24.55 |-Branch two:
% 62.64/24.55 | (293) ssList(all_0_7_7) = all_8_2_18
% 62.64/24.55 | (294) all_8_2_18 = 0
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (293) follows:
% 62.64/24.55 | (284) ssList(all_0_7_7) = 0
% 62.64/24.55 |
% 62.64/24.55 +-Applying beta-rule and splitting (310), into two cases.
% 62.64/24.55 |-Branch one:
% 62.64/24.55 | (771) ~ (ssList(nil) = all_8_2_18)
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (771) follows:
% 62.64/24.55 | (667) ~ (ssList(nil) = 0)
% 62.64/24.55 |
% 62.64/24.55 | Using (104) and (667) yields:
% 62.64/24.55 | (617) $false
% 62.64/24.55 |
% 62.64/24.55 |-The branch is then unsatisfiable
% 62.64/24.55 |-Branch two:
% 62.64/24.55 | (774) ssList(nil) = all_8_2_18
% 62.64/24.55 | (294) all_8_2_18 = 0
% 62.64/24.55 |
% 62.64/24.55 | From (294) and (774) follows:
% 62.64/24.55 | (104) ssList(nil) = 0
% 62.64/24.56 |
% 62.64/24.56 +-Applying beta-rule and splitting (307), into two cases.
% 62.64/24.56 |-Branch one:
% 62.64/24.56 | (777) ~ (ssList(all_0_6_6) = all_8_2_18)
% 62.64/24.56 |
% 62.64/24.56 | From (294) and (777) follows:
% 62.64/24.56 | (685) ~ (ssList(all_0_6_6) = 0)
% 62.64/24.56 |
% 62.64/24.56 | Using (78) and (685) yields:
% 62.64/24.56 | (617) $false
% 62.64/24.56 |
% 62.64/24.56 |-The branch is then unsatisfiable
% 62.64/24.56 |-Branch two:
% 62.64/24.56 | (780) ssList(all_0_6_6) = all_8_2_18
% 62.64/24.56 | (294) all_8_2_18 = 0
% 62.64/24.56 |
% 62.64/24.56 | From (294) and (780) follows:
% 62.64/24.56 | (78) ssList(all_0_6_6) = 0
% 62.64/24.56 |
% 62.64/24.56 +-Applying beta-rule and splitting (371), into two cases.
% 62.64/24.56 |-Branch one:
% 62.64/24.56 | (783) ~ (ssList(all_0_6_6) = all_112_1_46)
% 62.64/24.56 |
% 62.64/24.56 | From (428) and (783) follows:
% 62.64/24.56 | (685) ~ (ssList(all_0_6_6) = 0)
% 62.64/24.56 |
% 62.64/24.56 | Using (78) and (685) yields:
% 62.64/24.56 | (617) $false
% 62.64/24.56 |
% 62.64/24.56 |-The branch is then unsatisfiable
% 62.64/24.56 |-Branch two:
% 62.64/24.56 | (786) ssList(all_0_6_6) = all_112_1_46
% 62.64/24.56 | (428) all_112_1_46 = 0
% 62.64/24.56 |
% 62.64/24.56 | From (428) and (786) follows:
% 62.64/24.56 | (78) ssList(all_0_6_6) = 0
% 62.64/24.56 |
% 62.64/24.56 +-Applying beta-rule and splitting (376), into two cases.
% 62.64/24.56 |-Branch one:
% 62.64/24.56 | (789) ~ (ssList(all_8_1_17) = 0)
% 62.64/24.56 |
% 62.64/24.56 | Using (429) and (789) yields:
% 62.64/24.56 | (617) $false
% 62.64/24.56 |
% 62.64/24.56 |-The branch is then unsatisfiable
% 62.64/24.56 |-Branch two:
% 62.64/24.56 | (429) ssList(all_8_1_17) = 0
% 62.64/24.56 | (428) all_112_1_46 = 0
% 62.64/24.56 |
% 62.64/24.56 +-Applying beta-rule and splitting (398), into two cases.
% 62.64/24.56 |-Branch one:
% 62.64/24.56 | (793) ~ (ssList(all_0_7_7) = all_112_1_46)
% 62.64/24.56 |
% 62.64/24.56 | From (428) and (793) follows:
% 62.64/24.56 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.64/24.56 |
% 62.64/24.56 | Using (284) and (691) yields:
% 62.64/24.56 | (617) $false
% 62.64/24.56 |
% 62.64/24.56 |-The branch is then unsatisfiable
% 62.64/24.56 |-Branch two:
% 62.64/24.56 | (796) ssList(all_0_7_7) = all_112_1_46
% 62.64/24.56 | (797) all_114_1_48 = all_112_1_46
% 62.64/24.56 |
% 62.64/24.56 | Combining equations (797,395) yields a new equation:
% 62.64/24.56 | (798) all_112_1_46 = 0
% 62.64/24.56 |
% 62.64/24.56 | Simplifying 798 yields:
% 62.64/24.56 | (428) all_112_1_46 = 0
% 62.64/24.56 |
% 62.64/24.56 | From (428) and (796) follows:
% 62.64/24.56 | (284) ssList(all_0_7_7) = 0
% 62.64/24.56 |
% 62.64/24.56 +-Applying beta-rule and splitting (405), into two cases.
% 62.64/24.56 |-Branch one:
% 62.64/24.56 | (801) ~ (ssList(all_0_14_14) = all_108_1_42)
% 62.64/24.56 |
% 62.64/24.56 | From (386) and (801) follows:
% 62.64/24.56 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.64/24.56 |
% 62.64/24.56 | Using (88) and (673) yields:
% 62.64/24.56 | (617) $false
% 62.64/24.56 |
% 62.64/24.56 |-The branch is then unsatisfiable
% 62.64/24.56 |-Branch two:
% 62.64/24.56 | (804) ssList(all_0_14_14) = all_108_1_42
% 62.64/24.56 | (805) all_112_0_45 = all_108_1_42
% 62.64/24.56 |
% 62.64/24.56 | Combining equations (401,805) yields a new equation:
% 62.64/24.56 | (386) all_108_1_42 = 0
% 62.64/24.56 |
% 62.64/24.56 | Combining equations (386,805) yields a new equation:
% 62.64/24.56 | (401) all_112_0_45 = 0
% 62.64/24.56 |
% 62.64/24.56 | From (386) and (804) follows:
% 62.64/24.56 | (88) ssList(all_0_14_14) = 0
% 62.64/24.56 |
% 62.64/24.56 +-Applying beta-rule and splitting (397), into two cases.
% 62.64/24.56 |-Branch one:
% 62.64/24.56 | (809) ~ (ssList(all_0_14_14) = all_114_1_48)
% 62.64/24.56 |
% 62.64/24.56 | From (395) and (809) follows:
% 62.64/24.56 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.64/24.56 |
% 62.64/24.56 | Using (88) and (673) yields:
% 62.64/24.56 | (617) $false
% 62.64/24.56 |
% 62.64/24.56 |-The branch is then unsatisfiable
% 62.64/24.56 |-Branch two:
% 62.64/24.56 | (812) ssList(all_0_14_14) = all_114_1_48
% 62.64/24.56 | (395) all_114_1_48 = 0
% 62.64/24.56 |
% 62.64/24.56 | From (395) and (812) follows:
% 62.64/24.56 | (88) ssList(all_0_14_14) = 0
% 62.64/24.56 |
% 62.64/24.56 +-Applying beta-rule and splitting (394), into two cases.
% 62.64/24.56 |-Branch one:
% 62.64/24.56 | (815) ~ (ssList(all_0_3_3) = all_108_0_41)
% 62.64/24.56 |
% 62.64/24.56 | From (427) and (815) follows:
% 62.64/24.56 | (816) ~ (ssList(all_0_3_3) = 0)
% 62.64/24.56 |
% 62.64/24.56 | Using (124) and (816) yields:
% 62.64/24.56 | (617) $false
% 62.64/24.56 |
% 62.64/24.56 |-The branch is then unsatisfiable
% 62.64/24.56 |-Branch two:
% 62.64/24.56 | (818) ssList(all_0_3_3) = all_108_0_41
% 62.64/24.56 | (819) all_108_0_41 = all_108_1_42
% 62.64/24.56 |
% 62.64/24.56 | Combining equations (819,427) yields a new equation:
% 62.64/24.56 | (820) all_108_1_42 = 0
% 62.64/24.56 |
% 62.64/24.56 | Simplifying 820 yields:
% 62.64/24.56 | (386) all_108_1_42 = 0
% 62.64/24.56 |
% 62.64/24.56 | From (427) and (818) follows:
% 62.64/24.56 | (124) ssList(all_0_3_3) = 0
% 62.64/24.56 |
% 62.64/24.56 +-Applying beta-rule and splitting (382), into two cases.
% 62.64/24.56 |-Branch one:
% 62.64/24.56 | (823) ~ (ssList(all_0_14_14) = all_108_0_41)
% 62.64/24.56 |
% 62.64/24.56 | From (427) and (823) follows:
% 62.71/24.56 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.71/24.56 |
% 62.71/24.56 | Using (88) and (673) yields:
% 62.71/24.56 | (617) $false
% 62.71/24.56 |
% 62.71/24.56 |-The branch is then unsatisfiable
% 62.71/24.56 |-Branch two:
% 62.71/24.56 | (826) ssList(all_0_14_14) = all_108_0_41
% 62.71/24.56 | (427) all_108_0_41 = 0
% 62.71/24.56 |
% 62.71/24.56 | From (427) and (826) follows:
% 62.71/24.56 | (88) ssList(all_0_14_14) = 0
% 62.71/24.56 |
% 62.71/24.56 +-Applying beta-rule and splitting (403), into two cases.
% 62.71/24.56 |-Branch one:
% 62.71/24.56 | (829) ~ (ssList(all_0_14_14) = all_112_1_46)
% 62.71/24.56 |
% 62.71/24.56 | From (428) and (829) follows:
% 62.71/24.56 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.71/24.56 |
% 62.71/24.56 | Using (88) and (673) yields:
% 62.71/24.56 | (617) $false
% 62.71/24.56 |
% 62.71/24.56 |-The branch is then unsatisfiable
% 62.71/24.56 |-Branch two:
% 62.71/24.57 | (832) ssList(all_0_14_14) = all_112_1_46
% 62.71/24.57 | (833) all_112_0_45 = all_112_1_46
% 62.71/24.57 |
% 62.71/24.57 | Combining equations (401,833) yields a new equation:
% 62.71/24.57 | (428) all_112_1_46 = 0
% 62.71/24.57 |
% 62.71/24.57 | Combining equations (428,833) yields a new equation:
% 62.71/24.57 | (401) all_112_0_45 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (832) follows:
% 62.71/24.57 | (88) ssList(all_0_14_14) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (384), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (789) ~ (ssList(all_8_1_17) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (429) and (789) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (429) ssList(all_8_1_17) = 0
% 62.71/24.57 | (427) all_108_0_41 = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (375), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (841) ~ (ssList(nil) = all_112_1_46)
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (841) follows:
% 62.71/24.57 | (667) ~ (ssList(nil) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (104) and (667) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (844) ssList(nil) = all_112_1_46
% 62.71/24.57 | (428) all_112_1_46 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (844) follows:
% 62.71/24.57 | (104) ssList(nil) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (370), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (847) ~ (ssList(all_0_5_5) = all_112_1_46)
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (847) follows:
% 62.71/24.57 | (716) ~ (ssList(all_0_5_5) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (289) and (716) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (850) ssList(all_0_5_5) = all_112_1_46
% 62.71/24.57 | (428) all_112_1_46 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (850) follows:
% 62.71/24.57 | (289) ssList(all_0_5_5) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (402), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (853) ~ (ssList(nil) = all_112_0_45)
% 62.71/24.57 |
% 62.71/24.57 | From (401) and (853) follows:
% 62.71/24.57 | (667) ~ (ssList(nil) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (104) and (667) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (856) ssList(nil) = all_112_0_45
% 62.71/24.57 | (401) all_112_0_45 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (401) and (856) follows:
% 62.71/24.57 | (104) ssList(nil) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (373), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (859) ~ (ssList(all_0_13_13) = all_112_1_46)
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (859) follows:
% 62.71/24.57 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (72) and (661) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (862) ssList(all_0_13_13) = all_112_1_46
% 62.71/24.57 | (428) all_112_1_46 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (862) follows:
% 62.71/24.57 | (72) ssList(all_0_13_13) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (379), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (865) ~ (ssList(all_0_6_6) = all_108_0_41)
% 62.71/24.57 |
% 62.71/24.57 | From (427) and (865) follows:
% 62.71/24.57 | (685) ~ (ssList(all_0_6_6) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (78) and (685) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (868) ssList(all_0_6_6) = all_108_0_41
% 62.71/24.57 | (427) all_108_0_41 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (427) and (868) follows:
% 62.71/24.57 | (78) ssList(all_0_6_6) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (377), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (815) ~ (ssList(all_0_3_3) = all_108_0_41)
% 62.71/24.57 |
% 62.71/24.57 | From (427) and (815) follows:
% 62.71/24.57 | (816) ~ (ssList(all_0_3_3) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (124) and (816) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (818) ssList(all_0_3_3) = all_108_0_41
% 62.71/24.57 | (427) all_108_0_41 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (427) and (818) follows:
% 62.71/24.57 | (124) ssList(all_0_3_3) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (392), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (877) ~ (ssList(nil) = all_108_1_42)
% 62.71/24.57 |
% 62.71/24.57 | From (386) and (877) follows:
% 62.71/24.57 | (667) ~ (ssList(nil) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (104) and (667) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (880) ssList(nil) = all_108_1_42
% 62.71/24.57 | (386) all_108_1_42 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (386) and (880) follows:
% 62.71/24.57 | (104) ssList(nil) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (374), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (829) ~ (ssList(all_0_14_14) = all_112_1_46)
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (829) follows:
% 62.71/24.57 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.71/24.57 |
% 62.71/24.57 | Using (88) and (673) yields:
% 62.71/24.57 | (617) $false
% 62.71/24.57 |
% 62.71/24.57 |-The branch is then unsatisfiable
% 62.71/24.57 |-Branch two:
% 62.71/24.57 | (832) ssList(all_0_14_14) = all_112_1_46
% 62.71/24.57 | (428) all_112_1_46 = 0
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (832) follows:
% 62.71/24.57 | (88) ssList(all_0_14_14) = 0
% 62.71/24.57 |
% 62.71/24.57 +-Applying beta-rule and splitting (393), into two cases.
% 62.71/24.57 |-Branch one:
% 62.71/24.57 | (889) ~ (ssList(all_0_3_3) = all_112_1_46)
% 62.71/24.57 |
% 62.71/24.57 | From (428) and (889) follows:
% 62.71/24.58 | (816) ~ (ssList(all_0_3_3) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (124) and (816) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (892) ssList(all_0_3_3) = all_112_1_46
% 62.71/24.58 | (893) all_112_1_46 = all_108_1_42
% 62.71/24.58 |
% 62.71/24.58 | Combining equations (893,428) yields a new equation:
% 62.71/24.58 | (820) all_108_1_42 = 0
% 62.71/24.58 |
% 62.71/24.58 | Simplifying 820 yields:
% 62.71/24.58 | (386) all_108_1_42 = 0
% 62.71/24.58 |
% 62.71/24.58 | From (428) and (892) follows:
% 62.71/24.58 | (124) ssList(all_0_3_3) = 0
% 62.71/24.58 |
% 62.71/24.58 +-Applying beta-rule and splitting (400), into two cases.
% 62.71/24.58 |-Branch one:
% 62.71/24.58 | (897) ~ (ssList(all_0_7_7) = all_108_1_42)
% 62.71/24.58 |
% 62.71/24.58 | From (386) and (897) follows:
% 62.71/24.58 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (284) and (691) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (900) ssList(all_0_7_7) = all_108_1_42
% 62.71/24.58 | (901) all_114_1_48 = all_108_1_42
% 62.71/24.58 |
% 62.71/24.58 | Combining equations (395,901) yields a new equation:
% 62.71/24.58 | (386) all_108_1_42 = 0
% 62.71/24.58 |
% 62.71/24.58 | Combining equations (386,901) yields a new equation:
% 62.71/24.58 | (395) all_114_1_48 = 0
% 62.71/24.58 |
% 62.71/24.58 | From (386) and (900) follows:
% 62.71/24.58 | (284) ssList(all_0_7_7) = 0
% 62.71/24.58 |
% 62.71/24.58 +-Applying beta-rule and splitting (387), into two cases.
% 62.71/24.58 |-Branch one:
% 62.71/24.58 | (905) ~ (ssList(all_0_5_5) = all_108_1_42)
% 62.71/24.58 |
% 62.71/24.58 | From (386) and (905) follows:
% 62.71/24.58 | (716) ~ (ssList(all_0_5_5) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (289) and (716) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (908) ssList(all_0_5_5) = all_108_1_42
% 62.71/24.58 | (386) all_108_1_42 = 0
% 62.71/24.58 |
% 62.71/24.58 | From (386) and (908) follows:
% 62.71/24.58 | (289) ssList(all_0_5_5) = 0
% 62.71/24.58 |
% 62.71/24.58 +-Applying beta-rule and splitting (390), into two cases.
% 62.71/24.58 |-Branch one:
% 62.71/24.58 | (911) ~ (ssList(all_0_13_13) = all_108_1_42)
% 62.71/24.58 |
% 62.71/24.58 | From (386) and (911) follows:
% 62.71/24.58 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (72) and (661) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (914) ssList(all_0_13_13) = all_108_1_42
% 62.71/24.58 | (386) all_108_1_42 = 0
% 62.71/24.58 |
% 62.71/24.58 | From (386) and (914) follows:
% 62.71/24.58 | (72) ssList(all_0_13_13) = 0
% 62.71/24.58 |
% 62.71/24.58 +-Applying beta-rule and splitting (389), into two cases.
% 62.71/24.58 |-Branch one:
% 62.71/24.58 | (897) ~ (ssList(all_0_7_7) = all_108_1_42)
% 62.71/24.58 |
% 62.71/24.58 | From (386) and (897) follows:
% 62.71/24.58 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (284) and (691) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (900) ssList(all_0_7_7) = all_108_1_42
% 62.71/24.58 | (386) all_108_1_42 = 0
% 62.71/24.58 |
% 62.71/24.58 | From (386) and (900) follows:
% 62.71/24.58 | (284) ssList(all_0_7_7) = 0
% 62.71/24.58 |
% 62.71/24.58 +-Applying beta-rule and splitting (399), into two cases.
% 62.71/24.58 |-Branch one:
% 62.71/24.58 | (923) ~ (ssList(all_0_7_7) = all_108_0_41)
% 62.71/24.58 |
% 62.71/24.58 | From (427) and (923) follows:
% 62.71/24.58 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (284) and (691) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (926) ssList(all_0_7_7) = all_108_0_41
% 62.71/24.58 | (927) all_114_1_48 = all_108_0_41
% 62.71/24.58 |
% 62.71/24.58 | Combining equations (395,927) yields a new equation:
% 62.71/24.58 | (427) all_108_0_41 = 0
% 62.71/24.58 |
% 62.71/24.58 | Combining equations (427,927) yields a new equation:
% 62.71/24.58 | (395) all_114_1_48 = 0
% 62.71/24.58 |
% 62.71/24.58 | From (427) and (926) follows:
% 62.71/24.58 | (284) ssList(all_0_7_7) = 0
% 62.71/24.58 |
% 62.71/24.58 +-Applying beta-rule and splitting (369), into two cases.
% 62.71/24.58 |-Branch one:
% 62.71/24.58 | (889) ~ (ssList(all_0_3_3) = all_112_1_46)
% 62.71/24.58 |
% 62.71/24.58 | From (428) and (889) follows:
% 62.71/24.58 | (816) ~ (ssList(all_0_3_3) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (124) and (816) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (892) ssList(all_0_3_3) = all_112_1_46
% 62.71/24.58 | (428) all_112_1_46 = 0
% 62.71/24.58 |
% 62.71/24.58 +-Applying beta-rule and splitting (396), into two cases.
% 62.71/24.58 |-Branch one:
% 62.71/24.58 | (936) ~ (ssList(all_0_13_13) = all_114_1_48)
% 62.71/24.58 |
% 62.71/24.58 | From (395) and (936) follows:
% 62.71/24.58 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (72) and (661) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (939) ssList(all_0_13_13) = all_114_1_48
% 62.71/24.58 | (395) all_114_1_48 = 0
% 62.71/24.58 |
% 62.71/24.58 | From (395) and (939) follows:
% 62.71/24.58 | (72) ssList(all_0_13_13) = 0
% 62.71/24.58 |
% 62.71/24.58 +-Applying beta-rule and splitting (383), into two cases.
% 62.71/24.58 |-Branch one:
% 62.71/24.58 | (942) ~ (ssList(nil) = all_108_0_41)
% 62.71/24.58 |
% 62.71/24.58 | From (427) and (942) follows:
% 62.71/24.58 | (667) ~ (ssList(nil) = 0)
% 62.71/24.58 |
% 62.71/24.58 | Using (104) and (667) yields:
% 62.71/24.58 | (617) $false
% 62.71/24.58 |
% 62.71/24.58 |-The branch is then unsatisfiable
% 62.71/24.58 |-Branch two:
% 62.71/24.58 | (945) ssList(nil) = all_108_0_41
% 62.71/24.59 | (427) all_108_0_41 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (945) follows:
% 62.71/24.59 | (104) ssList(nil) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (378), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (948) ~ (ssList(all_0_5_5) = all_108_0_41)
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (948) follows:
% 62.71/24.59 | (716) ~ (ssList(all_0_5_5) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (289) and (716) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.59 | (951) ssList(all_0_5_5) = all_108_0_41
% 62.71/24.59 | (427) all_108_0_41 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (951) follows:
% 62.71/24.59 | (289) ssList(all_0_5_5) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (372), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (793) ~ (ssList(all_0_7_7) = all_112_1_46)
% 62.71/24.59 |
% 62.71/24.59 | From (428) and (793) follows:
% 62.71/24.59 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (284) and (691) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.59 | (796) ssList(all_0_7_7) = all_112_1_46
% 62.71/24.59 | (428) all_112_1_46 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (428) and (796) follows:
% 62.71/24.59 | (284) ssList(all_0_7_7) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (388), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (960) ~ (ssList(all_0_6_6) = all_108_1_42)
% 62.71/24.59 |
% 62.71/24.59 | From (386) and (960) follows:
% 62.71/24.59 | (685) ~ (ssList(all_0_6_6) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (78) and (685) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.59 | (963) ssList(all_0_6_6) = all_108_1_42
% 62.71/24.59 | (386) all_108_1_42 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (386) and (963) follows:
% 62.71/24.59 | (78) ssList(all_0_6_6) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (381), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (966) ~ (ssList(all_0_13_13) = all_108_0_41)
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (966) follows:
% 62.71/24.59 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (72) and (661) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.59 | (969) ssList(all_0_13_13) = all_108_0_41
% 62.71/24.59 | (427) all_108_0_41 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (969) follows:
% 62.71/24.59 | (72) ssList(all_0_13_13) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (391), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (801) ~ (ssList(all_0_14_14) = all_108_1_42)
% 62.71/24.59 |
% 62.71/24.59 | From (386) and (801) follows:
% 62.71/24.59 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (88) and (673) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.59 | (804) ssList(all_0_14_14) = all_108_1_42
% 62.71/24.59 | (386) all_108_1_42 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (386) and (804) follows:
% 62.71/24.59 | (88) ssList(all_0_14_14) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (380), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (923) ~ (ssList(all_0_7_7) = all_108_0_41)
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (923) follows:
% 62.71/24.59 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (284) and (691) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.59 | (926) ssList(all_0_7_7) = all_108_0_41
% 62.71/24.59 | (427) all_108_0_41 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (926) follows:
% 62.71/24.59 | (284) ssList(all_0_7_7) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (406), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (809) ~ (ssList(all_0_14_14) = all_114_1_48)
% 62.71/24.59 |
% 62.71/24.59 | From (395) and (809) follows:
% 62.71/24.59 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (88) and (673) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.59 | (812) ssList(all_0_14_14) = all_114_1_48
% 62.71/24.59 | (988) all_114_1_48 = all_112_0_45
% 62.71/24.59 |
% 62.71/24.59 | Combining equations (395,988) yields a new equation:
% 62.71/24.59 | (401) all_112_0_45 = 0
% 62.71/24.59 |
% 62.71/24.59 | Combining equations (401,988) yields a new equation:
% 62.71/24.59 | (395) all_114_1_48 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (395) and (812) follows:
% 62.71/24.59 | (88) ssList(all_0_14_14) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (404), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (823) ~ (ssList(all_0_14_14) = all_108_0_41)
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (823) follows:
% 62.71/24.59 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (88) and (673) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.59 | (826) ssList(all_0_14_14) = all_108_0_41
% 62.71/24.59 | (996) all_112_0_45 = all_108_0_41
% 62.71/24.59 |
% 62.71/24.59 | Combining equations (401,996) yields a new equation:
% 62.71/24.59 | (427) all_108_0_41 = 0
% 62.71/24.59 |
% 62.71/24.59 | From (427) and (826) follows:
% 62.71/24.59 | (88) ssList(all_0_14_14) = 0
% 62.71/24.59 |
% 62.71/24.59 +-Applying beta-rule and splitting (441), into two cases.
% 62.71/24.59 |-Branch one:
% 62.71/24.59 | (999) ~ (ssList(all_0_6_6) = all_130_1_54)
% 62.71/24.59 |
% 62.71/24.59 | From (418) and (999) follows:
% 62.71/24.59 | (685) ~ (ssList(all_0_6_6) = 0)
% 62.71/24.59 |
% 62.71/24.59 | Using (78) and (685) yields:
% 62.71/24.59 | (617) $false
% 62.71/24.59 |
% 62.71/24.59 |-The branch is then unsatisfiable
% 62.71/24.59 |-Branch two:
% 62.71/24.60 | (1002) ssList(all_0_6_6) = all_130_1_54
% 62.71/24.60 | (418) all_130_1_54 = 0
% 62.71/24.60 |
% 62.71/24.60 | From (418) and (1002) follows:
% 62.71/24.60 | (78) ssList(all_0_6_6) = 0
% 62.71/24.60 |
% 62.71/24.60 +-Applying beta-rule and splitting (442), into two cases.
% 62.71/24.60 |-Branch one:
% 62.71/24.60 | (1005) ~ (ssList(all_0_7_7) = all_130_1_54)
% 62.71/24.60 |
% 62.71/24.60 | From (418) and (1005) follows:
% 62.71/24.60 | (691) ~ (ssList(all_0_7_7) = 0)
% 62.71/24.60 |
% 62.71/24.60 | Using (284) and (691) yields:
% 62.71/24.60 | (617) $false
% 62.71/24.60 |
% 62.71/24.60 |-The branch is then unsatisfiable
% 62.71/24.60 |-Branch two:
% 62.71/24.60 | (417) ssList(all_0_7_7) = all_130_1_54
% 62.71/24.60 | (418) all_130_1_54 = 0
% 62.71/24.60 |
% 62.71/24.60 +-Applying beta-rule and splitting (443), into two cases.
% 62.71/24.60 |-Branch one:
% 62.71/24.60 | (1010) ~ (ssList(all_0_13_13) = all_130_1_54)
% 62.71/24.60 |
% 62.71/24.60 | From (418) and (1010) follows:
% 62.71/24.60 | (661) ~ (ssList(all_0_13_13) = 0)
% 62.71/24.60 |
% 62.71/24.60 | Using (72) and (661) yields:
% 62.71/24.60 | (617) $false
% 62.71/24.60 |
% 62.71/24.60 |-The branch is then unsatisfiable
% 62.71/24.60 |-Branch two:
% 62.71/24.60 | (1013) ssList(all_0_13_13) = all_130_1_54
% 62.71/24.60 | (418) all_130_1_54 = 0
% 62.71/24.60 |
% 62.71/24.60 +-Applying beta-rule and splitting (444), into two cases.
% 62.71/24.60 |-Branch one:
% 62.71/24.60 | (1015) ~ (ssList(all_0_14_14) = all_130_1_54)
% 62.71/24.60 |
% 62.71/24.60 | From (418) and (1015) follows:
% 62.71/24.60 | (673) ~ (ssList(all_0_14_14) = 0)
% 62.71/24.60 |
% 62.71/24.60 | Using (88) and (673) yields:
% 62.71/24.60 | (617) $false
% 62.71/24.60 |
% 62.71/24.60 |-The branch is then unsatisfiable
% 62.71/24.60 |-Branch two:
% 62.71/24.60 | (1018) ssList(all_0_14_14) = all_130_1_54
% 62.71/24.60 | (418) all_130_1_54 = 0
% 62.71/24.60 |
% 62.71/24.60 | From (418) and (1018) follows:
% 62.71/24.60 | (88) ssList(all_0_14_14) = 0
% 62.71/24.60 |
% 62.71/24.60 +-Applying beta-rule and splitting (440), into two cases.
% 62.71/24.60 |-Branch one:
% 62.71/24.60 | (1021) ~ (ssList(all_0_5_5) = all_130_1_54)
% 62.71/24.60 |
% 62.71/24.60 | From (418) and (1021) follows:
% 62.71/24.60 | (716) ~ (ssList(all_0_5_5) = 0)
% 62.71/24.60 |
% 62.71/24.60 | Using (289) and (716) yields:
% 62.71/24.60 | (617) $false
% 62.71/24.60 |
% 62.71/24.60 |-The branch is then unsatisfiable
% 62.71/24.60 |-Branch two:
% 62.71/24.60 | (1024) ssList(all_0_5_5) = all_130_1_54
% 62.71/24.60 | (418) all_130_1_54 = 0
% 62.71/24.60 |
% 62.71/24.60 +-Applying beta-rule and splitting (445), into two cases.
% 62.71/24.60 |-Branch one:
% 62.71/24.60 | (1026) ~ (ssList(nil) = all_130_1_54)
% 62.71/24.60 |
% 62.71/24.60 | From (418) and (1026) follows:
% 62.71/24.60 | (667) ~ (ssList(nil) = 0)
% 62.71/24.60 |
% 62.71/24.60 | Using (104) and (667) yields:
% 62.71/24.60 | (617) $false
% 62.71/24.60 |
% 62.71/24.60 |-The branch is then unsatisfiable
% 62.71/24.60 |-Branch two:
% 62.71/24.60 | (1029) ssList(nil) = all_130_1_54
% 62.71/24.60 | (418) all_130_1_54 = 0
% 62.71/24.60 |
% 62.71/24.60 | From (418) and (1029) follows:
% 62.71/24.60 | (104) ssList(nil) = 0
% 62.71/24.60 |
% 62.71/24.60 | Instantiating formula (8) with nil, all_0_14_14 and discharging atoms tl(all_0_14_14) = nil, yields:
% 62.71/24.60 | (1032) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssList(all_0_14_14) = v0 & ( ~ (v0 = 0) | ! [v2] : (v2 = all_0_14_14 | v2 = nil | all_0_14_14 = nil | ~ (tl(v2) = nil) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssList(v2) = v3 & ( ~ (v4 = v1) | ~ (v3 = 0))))))
% 62.71/24.60 |
% 62.71/24.60 | Instantiating formula (13) with all_0_3_3, all_262_1_60, all_0_5_5, all_0_7_7, nil, all_0_6_6, all_0_8_8, all_0_14_14 and discharging atoms duplicatefreeP(all_0_14_14) = 0, ssList(all_0_6_6) = 0, cons(all_0_8_8, all_262_1_60) = all_0_3_3, cons(all_0_8_8, nil) = all_0_7_7, app(all_0_5_5, all_0_3_3) = all_0_14_14, app(all_0_6_6, all_0_7_7) = all_0_5_5, ssItem(all_0_8_8) = 0, yields:
% 62.71/24.60 | (1033) ? [v0] : (( ~ (v0 = 0) & ssList(all_262_1_60) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 62.71/24.60 |
% 62.71/24.60 | Instantiating (1033) with all_1164_0_192 yields:
% 62.71/24.60 | (1034) ( ~ (all_1164_0_192 = 0) & ssList(all_262_1_60) = all_1164_0_192) | ( ~ (all_1164_0_192 = 0) & ssList(all_0_14_14) = all_1164_0_192) | ( ~ (all_1164_0_192 = 0) & ssList(nil) = all_1164_0_192)
% 62.71/24.60 |
% 62.71/24.60 | Instantiating (1032) with all_1169_0_197, all_1169_1_198 yields:
% 62.71/24.60 | (1035) hd(all_0_14_14) = all_1169_0_197 & ssList(all_0_14_14) = all_1169_1_198 & ( ~ (all_1169_1_198 = 0) | ! [v0] : (v0 = all_0_14_14 | v0 = nil | all_0_14_14 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_1169_0_197) | ~ (v1 = 0)))))
% 62.71/24.60 |
% 62.71/24.60 | Applying alpha-rule on (1035) yields:
% 62.71/24.60 | (1036) hd(all_0_14_14) = all_1169_0_197
% 62.71/24.60 | (1037) ssList(all_0_14_14) = all_1169_1_198
% 62.71/24.60 | (1038) ~ (all_1169_1_198 = 0) | ! [v0] : (v0 = all_0_14_14 | v0 = nil | all_0_14_14 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_1169_0_197) | ~ (v1 = 0))))
% 62.71/24.60 |
% 62.71/24.60 +-Applying beta-rule and splitting (1034), into two cases.
% 62.71/24.60 |-Branch one:
% 62.71/24.60 | (1039) ( ~ (all_1164_0_192 = 0) & ssList(all_262_1_60) = all_1164_0_192) | ( ~ (all_1164_0_192 = 0) & ssList(all_0_14_14) = all_1164_0_192)
% 62.71/24.60 |
% 62.71/24.60 +-Applying beta-rule and splitting (1039), into two cases.
% 62.71/24.60 |-Branch one:
% 62.71/24.60 | (1040) ~ (all_1164_0_192 = 0) & ssList(all_262_1_60) = all_1164_0_192
% 62.71/24.60 |
% 62.71/24.60 | Applying alpha-rule on (1040) yields:
% 62.71/24.60 | (1041) ~ (all_1164_0_192 = 0)
% 62.71/24.60 | (1042) ssList(all_262_1_60) = all_1164_0_192
% 62.71/24.60 |
% 62.71/24.60 | Instantiating formula (49) with all_262_1_60, all_1164_0_192, 0 and discharging atoms ssList(all_262_1_60) = all_1164_0_192, ssList(all_262_1_60) = 0, yields:
% 62.71/24.60 | (1043) all_1164_0_192 = 0
% 62.71/24.60 |
% 62.71/24.60 | Equations (1043) can reduce 1041 to:
% 62.71/24.60 | (274) $false
% 62.71/24.60 |
% 62.71/24.60 |-The branch is then unsatisfiable
% 62.71/24.60 |-Branch two:
% 62.71/24.60 | (1045) ~ (all_1164_0_192 = 0) & ssList(all_0_14_14) = all_1164_0_192
% 62.71/24.60 |
% 62.71/24.61 | Applying alpha-rule on (1045) yields:
% 62.71/24.61 | (1041) ~ (all_1164_0_192 = 0)
% 62.71/24.61 | (1047) ssList(all_0_14_14) = all_1164_0_192
% 62.71/24.61 |
% 62.71/24.61 | Instantiating formula (49) with all_0_14_14, all_1169_1_198, 0 and discharging atoms ssList(all_0_14_14) = all_1169_1_198, ssList(all_0_14_14) = 0, yields:
% 62.71/24.61 | (1048) all_1169_1_198 = 0
% 62.71/24.61 |
% 62.71/24.61 | Instantiating formula (49) with all_0_14_14, all_1164_0_192, all_1169_1_198 and discharging atoms ssList(all_0_14_14) = all_1169_1_198, ssList(all_0_14_14) = all_1164_0_192, yields:
% 62.71/24.61 | (1049) all_1169_1_198 = all_1164_0_192
% 62.71/24.61 |
% 62.71/24.61 | Combining equations (1048,1049) yields a new equation:
% 62.71/24.61 | (1043) all_1164_0_192 = 0
% 62.71/24.61 |
% 62.71/24.61 | Equations (1043) can reduce 1041 to:
% 62.71/24.61 | (274) $false
% 62.71/24.61 |
% 62.71/24.61 |-The branch is then unsatisfiable
% 62.71/24.61 |-Branch two:
% 62.71/24.61 | (1052) ~ (all_1164_0_192 = 0) & ssList(nil) = all_1164_0_192
% 62.71/24.61 |
% 62.71/24.61 | Applying alpha-rule on (1052) yields:
% 62.71/24.61 | (1041) ~ (all_1164_0_192 = 0)
% 62.71/24.61 | (1054) ssList(nil) = all_1164_0_192
% 62.71/24.61 |
% 62.71/24.61 | Instantiating formula (49) with nil, all_1164_0_192, 0 and discharging atoms ssList(nil) = all_1164_0_192, ssList(nil) = 0, yields:
% 62.71/24.61 | (1043) all_1164_0_192 = 0
% 62.71/24.61 |
% 62.71/24.61 | Equations (1043) can reduce 1041 to:
% 62.71/24.61 | (274) $false
% 62.71/24.61 |
% 62.71/24.61 |-The branch is then unsatisfiable
% 62.90/24.61 |-Branch two:
% 62.90/24.61 | (1057) ~ (all_262_0_59 = all_0_8_8)
% 62.90/24.61 | (1058) ? [v0] : (( ~ (v0 = 0) & ssList(all_262_1_60) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 62.90/24.61 |
% 62.90/24.61 | Instantiating (1058) with all_555_0_241 yields:
% 62.90/24.61 | (1059) ( ~ (all_555_0_241 = 0) & ssList(all_262_1_60) = all_555_0_241) | ( ~ (all_555_0_241 = 0) & ssList(all_0_14_14) = all_555_0_241)
% 62.90/24.61 |
% 62.90/24.61 +-Applying beta-rule and splitting (1059), into two cases.
% 62.90/24.61 |-Branch one:
% 62.90/24.61 | (1060) ~ (all_555_0_241 = 0) & ssList(all_262_1_60) = all_555_0_241
% 62.90/24.61 |
% 62.90/24.61 | Applying alpha-rule on (1060) yields:
% 62.90/24.61 | (1061) ~ (all_555_0_241 = 0)
% 62.90/24.62 | (1062) ssList(all_262_1_60) = all_555_0_241
% 62.90/24.62 |
% 62.90/24.62 | Instantiating formula (49) with all_262_1_60, all_555_0_241, 0 and discharging atoms ssList(all_262_1_60) = all_555_0_241, ssList(all_262_1_60) = 0, yields:
% 62.90/24.62 | (1063) all_555_0_241 = 0
% 62.90/24.62 |
% 62.90/24.62 | Equations (1063) can reduce 1061 to:
% 62.90/24.62 | (274) $false
% 62.90/24.62 |
% 62.90/24.62 |-The branch is then unsatisfiable
% 62.90/24.62 |-Branch two:
% 62.90/24.62 | (1065) ~ (all_555_0_241 = 0) & ssList(all_0_14_14) = all_555_0_241
% 62.90/24.62 |
% 62.90/24.62 | Applying alpha-rule on (1065) yields:
% 62.90/24.62 | (1061) ~ (all_555_0_241 = 0)
% 62.90/24.62 | (1067) ssList(all_0_14_14) = all_555_0_241
% 62.90/24.62 |
% 62.90/24.62 | Instantiating formula (49) with all_0_14_14, all_555_0_241, 0 and discharging atoms ssList(all_0_14_14) = all_555_0_241, ssList(all_0_14_14) = 0, yields:
% 62.90/24.62 | (1063) all_555_0_241 = 0
% 62.90/24.62 |
% 62.90/24.62 | Equations (1063) can reduce 1061 to:
% 62.90/24.62 | (274) $false
% 62.90/24.62 |
% 62.90/24.62 |-The branch is then unsatisfiable
% 62.90/24.62 |-Branch two:
% 62.90/24.62 | (1070) ~ (all_120_1_50 = nil)
% 62.90/24.62 | (1071) ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 62.90/24.62 |
% 62.90/24.62 +-Applying beta-rule and splitting (482), into two cases.
% 62.90/24.62 |-Branch one:
% 62.90/24.62 | (614) all_120_1_50 = nil
% 62.90/24.62 |
% 62.90/24.62 | Equations (614) can reduce 1070 to:
% 62.90/24.62 | (274) $false
% 62.90/24.62 |
% 62.90/24.62 |-The branch is then unsatisfiable
% 62.90/24.62 |-Branch two:
% 62.90/24.62 | (1070) ~ (all_120_1_50 = nil)
% 62.90/24.62 | (1075) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_120_1_50 & ssItem(v1) = 0)
% 62.90/24.62 |
% 62.90/24.62 +-Applying beta-rule and splitting (548), into two cases.
% 62.90/24.62 |-Branch one:
% 62.90/24.62 | (1076) ~ (all_373_1_169 = 0)
% 62.90/24.62 |
% 62.90/24.62 | Equations (568) can reduce 1076 to:
% 62.90/24.62 | (274) $false
% 62.90/24.62 |
% 62.90/24.62 |-The branch is then unsatisfiable
% 62.90/24.62 |-Branch two:
% 62.90/24.62 | (568) all_373_1_169 = 0
% 62.90/24.62 | (1079) all_373_0_168 = all_120_1_50
% 62.90/24.62 |
% 62.90/24.62 | Combining equations (561,1079) yields a new equation:
% 62.90/24.62 | (614) all_120_1_50 = nil
% 62.90/24.62 |
% 62.90/24.62 | Equations (614) can reduce 1070 to:
% 62.90/24.62 | (274) $false
% 62.90/24.62 |
% 62.90/24.62 |-The branch is then unsatisfiable
% 62.90/24.62 |-Branch two:
% 62.90/24.62 | (1082) app(all_0_5_5, nil) = all_0_14_14
% 62.90/24.62 | (1083) all_0_5_5 = all_0_14_14 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 62.90/24.62 |
% 62.90/24.62 +-Applying beta-rule and splitting (1083), into two cases.
% 62.90/24.62 |-Branch one:
% 62.90/24.62 | (1084) all_0_5_5 = all_0_14_14
% 62.90/24.62 |
% 62.90/24.62 | From (1084) and (29) follows:
% 62.90/24.62 | (1085) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 62.90/24.62 |
% 62.90/24.62 | From (1084) and (147) follows:
% 62.90/24.62 | (1086) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 62.90/24.62 |
% 62.90/24.62 +-Applying beta-rule and splitting (330), into two cases.
% 62.90/24.62 |-Branch one:
% 62.90/24.62 | (1087) ~ (app(all_0_6_6, all_0_7_7) = all_0_14_14)
% 62.90/24.62 |
% 62.90/24.62 | Using (1086) and (1087) yields:
% 62.90/24.62 | (617) $false
% 62.90/24.62 |
% 62.90/24.62 |-The branch is then unsatisfiable
% 62.90/24.62 |-Branch two:
% 62.90/24.62 | (1086) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 62.90/24.62 | (1090) all_8_1_17 = all_0_7_7 | ? [v0] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | ( ~ (v0 = 0) & ssList(all_0_6_6) = v0))
% 62.90/24.62 |
% 62.90/24.62 +-Applying beta-rule and splitting (329), into two cases.
% 62.90/24.62 |-Branch one:
% 62.90/24.62 | (1091) ~ (app(all_0_14_14, all_0_3_3) = all_0_14_14)
% 62.90/24.62 |
% 62.90/24.62 | Using (1085) and (1091) yields:
% 62.90/24.62 | (617) $false
% 62.90/24.62 |
% 62.90/24.62 |-The branch is then unsatisfiable
% 62.90/24.62 |-Branch two:
% 62.90/24.62 | (1085) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 62.90/24.62 | (1094) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | (ssList(all_0_3_3) = v0 & app(all_8_1_17, all_0_3_3) = v1 & app(all_0_6_6, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_14_14)))
% 62.90/24.62 |
% 62.90/24.62 | Instantiating (1094) with all_269_0_247, all_269_1_248, all_269_2_249 yields:
% 62.90/24.62 | (1095) ( ~ (all_269_2_249 = 0) & ssList(all_8_1_17) = all_269_2_249) | (ssList(all_0_3_3) = all_269_2_249 & app(all_8_1_17, all_0_3_3) = all_269_1_248 & app(all_0_6_6, all_269_1_248) = all_269_0_247 & ( ~ (all_269_2_249 = 0) | all_269_0_247 = all_0_14_14))
% 62.90/24.62 |
% 62.90/24.62 +-Applying beta-rule and splitting (324), into two cases.
% 62.90/24.62 |-Branch one:
% 62.90/24.62 | (1091) ~ (app(all_0_14_14, all_0_3_3) = all_0_14_14)
% 62.90/24.62 |
% 62.90/24.62 | Using (1085) and (1091) yields:
% 62.90/24.62 | (617) $false
% 62.90/24.62 |
% 62.90/24.62 |-The branch is then unsatisfiable
% 62.90/24.62 |-Branch two:
% 62.90/24.62 | (1085) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 62.90/24.62 | (1099) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_3_3) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & app(all_0_14_14, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_14_14)))
% 62.90/24.63 |
% 62.90/24.63 | Instantiating (1099) with all_273_0_250, all_273_1_251, all_273_2_252 yields:
% 62.90/24.63 | (1100) ( ~ (all_273_2_252 = 0) & ssList(all_0_3_3) = all_273_2_252) | (ssList(all_0_3_3) = all_273_2_252 & app(all_0_3_3, all_0_3_3) = all_273_1_251 & app(all_0_14_14, all_273_1_251) = all_273_0_250 & ( ~ (all_273_2_252 = 0) | all_273_0_250 = all_0_14_14))
% 62.90/24.63 |
% 62.90/24.63 +-Applying beta-rule and splitting (1095), into two cases.
% 62.90/24.63 |-Branch one:
% 62.90/24.63 | (1101) ~ (all_269_2_249 = 0) & ssList(all_8_1_17) = all_269_2_249
% 62.90/24.63 |
% 62.90/24.63 | Applying alpha-rule on (1101) yields:
% 62.90/24.63 | (1102) ~ (all_269_2_249 = 0)
% 62.90/24.63 | (1103) ssList(all_8_1_17) = all_269_2_249
% 62.90/24.63 |
% 62.90/24.63 | Instantiating formula (49) with all_8_1_17, all_269_2_249, 0 and discharging atoms ssList(all_8_1_17) = all_269_2_249, ssList(all_8_1_17) = 0, yields:
% 62.90/24.63 | (1104) all_269_2_249 = 0
% 62.90/24.63 |
% 62.90/24.63 | Equations (1104) can reduce 1102 to:
% 62.90/24.63 | (274) $false
% 62.90/24.63 |
% 62.90/24.63 |-The branch is then unsatisfiable
% 62.90/24.63 |-Branch two:
% 62.90/24.63 | (1106) ssList(all_0_3_3) = all_269_2_249 & app(all_8_1_17, all_0_3_3) = all_269_1_248 & app(all_0_6_6, all_269_1_248) = all_269_0_247 & ( ~ (all_269_2_249 = 0) | all_269_0_247 = all_0_14_14)
% 62.90/24.63 |
% 62.90/24.63 | Applying alpha-rule on (1106) yields:
% 62.90/24.63 | (1107) ssList(all_0_3_3) = all_269_2_249
% 62.90/24.63 | (1108) app(all_8_1_17, all_0_3_3) = all_269_1_248
% 62.90/24.63 | (1109) app(all_0_6_6, all_269_1_248) = all_269_0_247
% 62.90/24.63 | (1110) ~ (all_269_2_249 = 0) | all_269_0_247 = all_0_14_14
% 62.90/24.63 |
% 62.90/24.63 +-Applying beta-rule and splitting (1090), into two cases.
% 62.90/24.63 |-Branch one:
% 62.90/24.63 | (1111) all_8_1_17 = all_0_7_7
% 62.90/24.63 |
% 62.90/24.63 | From (1111) and (434) follows:
% 62.90/24.63 | (1112) cons(all_0_8_8, all_0_3_3) = all_0_7_7
% 62.90/24.63 |
% 62.90/24.63 | From (1111) and (299) follows:
% 62.90/24.63 | (1113) app(all_0_7_7, all_0_3_3) = all_0_7_7
% 62.90/24.63 |
% 62.90/24.63 +-Applying beta-rule and splitting (333), into two cases.
% 62.90/24.63 |-Branch one:
% 62.90/24.63 | (1114) ~ (app(all_0_7_7, all_0_3_3) = all_0_7_7)
% 62.90/24.63 |
% 62.90/24.63 | Using (1113) and (1114) yields:
% 62.90/24.63 | (617) $false
% 62.90/24.63 |
% 62.90/24.63 |-The branch is then unsatisfiable
% 62.90/24.63 |-Branch two:
% 62.90/24.63 | (1113) app(all_0_7_7, all_0_3_3) = all_0_7_7
% 62.90/24.63 | (1117) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_3_3) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & app(all_0_7_7, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_7_7)))
% 62.90/24.63 |
% 62.90/24.63 | Instantiating (1117) with all_286_0_253, all_286_1_254, all_286_2_255 yields:
% 62.90/24.63 | (1118) ( ~ (all_286_2_255 = 0) & ssList(all_0_3_3) = all_286_2_255) | (ssList(all_0_3_3) = all_286_2_255 & app(all_0_3_3, all_0_3_3) = all_286_1_254 & app(all_0_7_7, all_286_1_254) = all_286_0_253 & ( ~ (all_286_2_255 = 0) | all_286_0_253 = all_0_7_7))
% 62.90/24.63 |
% 62.90/24.63 | Instantiating formula (49) with all_0_3_3, all_269_2_249, 0 and discharging atoms ssList(all_0_3_3) = all_269_2_249, ssList(all_0_3_3) = 0, yields:
% 62.90/24.63 | (1104) all_269_2_249 = 0
% 62.90/24.63 |
% 62.90/24.63 | From (1104) and (1107) follows:
% 62.90/24.63 | (124) ssList(all_0_3_3) = 0
% 62.90/24.63 |
% 62.90/24.63 +-Applying beta-rule and splitting (1100), into two cases.
% 62.90/24.63 |-Branch one:
% 62.90/24.63 | (1121) ~ (all_273_2_252 = 0) & ssList(all_0_3_3) = all_273_2_252
% 62.90/24.63 |
% 62.90/24.63 | Applying alpha-rule on (1121) yields:
% 62.90/24.63 | (1122) ~ (all_273_2_252 = 0)
% 62.90/24.63 | (1123) ssList(all_0_3_3) = all_273_2_252
% 62.90/24.63 |
% 62.90/24.63 +-Applying beta-rule and splitting (1118), into two cases.
% 62.90/24.63 |-Branch one:
% 62.90/24.63 | (1124) ~ (all_286_2_255 = 0) & ssList(all_0_3_3) = all_286_2_255
% 62.90/24.63 |
% 62.90/24.63 | Applying alpha-rule on (1124) yields:
% 62.90/24.63 | (1125) ~ (all_286_2_255 = 0)
% 62.90/24.63 | (1126) ssList(all_0_3_3) = all_286_2_255
% 62.90/24.63 |
% 62.90/24.63 | Instantiating formula (49) with all_0_3_3, all_286_2_255, 0 and discharging atoms ssList(all_0_3_3) = all_286_2_255, ssList(all_0_3_3) = 0, yields:
% 62.90/24.63 | (1127) all_286_2_255 = 0
% 62.90/24.63 |
% 62.90/24.63 | Instantiating formula (49) with all_0_3_3, all_273_2_252, all_286_2_255 and discharging atoms ssList(all_0_3_3) = all_286_2_255, ssList(all_0_3_3) = all_273_2_252, yields:
% 62.90/24.63 | (1128) all_286_2_255 = all_273_2_252
% 62.90/24.63 |
% 62.90/24.63 | Combining equations (1127,1128) yields a new equation:
% 62.90/24.63 | (1129) all_273_2_252 = 0
% 62.90/24.63 |
% 62.90/24.63 | Equations (1129) can reduce 1122 to:
% 62.90/24.63 | (274) $false
% 62.90/24.63 |
% 62.90/24.63 |-The branch is then unsatisfiable
% 62.90/24.63 |-Branch two:
% 62.90/24.63 | (1131) ssList(all_0_3_3) = all_286_2_255 & app(all_0_3_3, all_0_3_3) = all_286_1_254 & app(all_0_7_7, all_286_1_254) = all_286_0_253 & ( ~ (all_286_2_255 = 0) | all_286_0_253 = all_0_7_7)
% 62.90/24.63 |
% 62.90/24.63 | Applying alpha-rule on (1131) yields:
% 62.90/24.63 | (1126) ssList(all_0_3_3) = all_286_2_255
% 62.90/24.63 | (1133) app(all_0_3_3, all_0_3_3) = all_286_1_254
% 62.90/24.63 | (1134) app(all_0_7_7, all_286_1_254) = all_286_0_253
% 62.90/24.63 | (1135) ~ (all_286_2_255 = 0) | all_286_0_253 = all_0_7_7
% 62.90/24.63 |
% 62.90/24.63 | Instantiating formula (49) with all_0_3_3, all_286_2_255, 0 and discharging atoms ssList(all_0_3_3) = all_286_2_255, ssList(all_0_3_3) = 0, yields:
% 62.90/24.63 | (1127) all_286_2_255 = 0
% 62.90/24.63 |
% 62.90/24.63 | Instantiating formula (49) with all_0_3_3, all_273_2_252, all_286_2_255 and discharging atoms ssList(all_0_3_3) = all_286_2_255, ssList(all_0_3_3) = all_273_2_252, yields:
% 62.90/24.63 | (1128) all_286_2_255 = all_273_2_252
% 62.90/24.63 |
% 62.90/24.63 | Combining equations (1127,1128) yields a new equation:
% 62.90/24.63 | (1129) all_273_2_252 = 0
% 62.90/24.63 |
% 62.90/24.64 | Equations (1129) can reduce 1122 to:
% 62.90/24.64 | (274) $false
% 62.90/24.64 |
% 62.90/24.64 |-The branch is then unsatisfiable
% 62.90/24.64 |-Branch two:
% 62.90/24.64 | (1140) ssList(all_0_3_3) = all_273_2_252 & app(all_0_3_3, all_0_3_3) = all_273_1_251 & app(all_0_14_14, all_273_1_251) = all_273_0_250 & ( ~ (all_273_2_252 = 0) | all_273_0_250 = all_0_14_14)
% 62.90/24.64 |
% 62.90/24.64 | Applying alpha-rule on (1140) yields:
% 62.90/24.64 | (1123) ssList(all_0_3_3) = all_273_2_252
% 62.90/24.64 | (1142) app(all_0_3_3, all_0_3_3) = all_273_1_251
% 62.90/24.64 | (1143) app(all_0_14_14, all_273_1_251) = all_273_0_250
% 62.90/24.64 | (1144) ~ (all_273_2_252 = 0) | all_273_0_250 = all_0_14_14
% 62.90/24.64 |
% 62.90/24.64 | Instantiating formula (49) with all_0_3_3, all_273_2_252, 0 and discharging atoms ssList(all_0_3_3) = all_273_2_252, ssList(all_0_3_3) = 0, yields:
% 62.90/24.64 | (1129) all_273_2_252 = 0
% 62.90/24.64 |
% 62.90/24.64 | From (1129) and (1123) follows:
% 62.90/24.64 | (124) ssList(all_0_3_3) = 0
% 62.90/24.64 |
% 62.90/24.64 +-Applying beta-rule and splitting (1118), into two cases.
% 62.90/24.64 |-Branch one:
% 62.90/24.64 | (1124) ~ (all_286_2_255 = 0) & ssList(all_0_3_3) = all_286_2_255
% 62.90/24.64 |
% 62.90/24.64 | Applying alpha-rule on (1124) yields:
% 62.90/24.64 | (1125) ~ (all_286_2_255 = 0)
% 62.90/24.64 | (1126) ssList(all_0_3_3) = all_286_2_255
% 62.90/24.64 |
% 62.90/24.64 | Instantiating formula (49) with all_0_3_3, all_286_2_255, 0 and discharging atoms ssList(all_0_3_3) = all_286_2_255, ssList(all_0_3_3) = 0, yields:
% 62.90/24.64 | (1127) all_286_2_255 = 0
% 62.90/24.64 |
% 62.90/24.64 | Equations (1127) can reduce 1125 to:
% 62.90/24.64 | (274) $false
% 62.90/24.64 |
% 62.90/24.64 |-The branch is then unsatisfiable
% 62.90/24.64 |-Branch two:
% 62.90/24.64 | (1131) ssList(all_0_3_3) = all_286_2_255 & app(all_0_3_3, all_0_3_3) = all_286_1_254 & app(all_0_7_7, all_286_1_254) = all_286_0_253 & ( ~ (all_286_2_255 = 0) | all_286_0_253 = all_0_7_7)
% 62.90/24.64 |
% 62.90/24.64 | Applying alpha-rule on (1131) yields:
% 62.90/24.64 | (1126) ssList(all_0_3_3) = all_286_2_255
% 62.90/24.64 | (1133) app(all_0_3_3, all_0_3_3) = all_286_1_254
% 62.90/24.64 | (1134) app(all_0_7_7, all_286_1_254) = all_286_0_253
% 62.90/24.64 | (1135) ~ (all_286_2_255 = 0) | all_286_0_253 = all_0_7_7
% 62.90/24.64 |
% 62.90/24.64 | Instantiating formula (49) with all_0_3_3, all_286_2_255, 0 and discharging atoms ssList(all_0_3_3) = all_286_2_255, ssList(all_0_3_3) = 0, yields:
% 62.90/24.64 | (1127) all_286_2_255 = 0
% 62.90/24.64 |
% 62.90/24.64 | From (1127) and (1126) follows:
% 62.90/24.64 | (124) ssList(all_0_3_3) = 0
% 62.90/24.64 |
% 62.90/24.64 +-Applying beta-rule and splitting (155), into two cases.
% 62.90/24.64 |-Branch one:
% 62.90/24.64 | (474) all_0_3_3 = nil
% 62.90/24.64 |
% 62.90/24.64 | From (474) and (471) follows:
% 62.90/24.64 | (1160) memberP(nil, all_0_8_8) = 0
% 62.90/24.64 |
% 62.90/24.64 | Instantiating formula (51) with all_0_8_8 and discharging atoms memberP(nil, all_0_8_8) = 0, yields:
% 62.90/24.64 | (1161) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 62.90/24.64 |
% 62.90/24.64 | Instantiating (1161) with all_410_0_342 yields:
% 62.90/24.64 | (1162) ~ (all_410_0_342 = 0) & ssItem(all_0_8_8) = all_410_0_342
% 62.90/24.64 |
% 62.90/24.64 | Applying alpha-rule on (1162) yields:
% 62.90/24.64 | (1163) ~ (all_410_0_342 = 0)
% 62.90/24.64 | (1164) ssItem(all_0_8_8) = all_410_0_342
% 62.90/24.64 |
% 62.90/24.64 | Instantiating formula (89) with all_0_8_8, all_410_0_342, 0 and discharging atoms ssItem(all_0_8_8) = all_410_0_342, ssItem(all_0_8_8) = 0, yields:
% 62.90/24.64 | (1165) all_410_0_342 = 0
% 62.90/24.64 |
% 62.90/24.64 | Equations (1165) can reduce 1163 to:
% 62.90/24.64 | (274) $false
% 62.90/24.64 |
% 62.90/24.64 |-The branch is then unsatisfiable
% 62.90/24.64 |-Branch two:
% 62.90/24.64 | (473) ~ (all_0_3_3 = nil)
% 62.90/24.64 | (477) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 62.90/24.64 |
% 62.90/24.64 | Instantiating formula (141) with all_0_8_8, all_0_7_7, all_0_8_8, all_0_3_3, nil and discharging atoms ssList(all_0_3_3) = 0, ssList(nil) = 0, cons(all_0_8_8, all_0_3_3) = all_0_7_7, cons(all_0_8_8, nil) = all_0_7_7, yields:
% 62.90/24.64 | (1169) all_0_3_3 = nil | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 62.90/24.64 |
% 62.90/24.64 | Instantiating formula (115) with all_0_7_7, all_0_8_8, all_0_3_3 and discharging atoms ssList(all_0_3_3) = 0, cons(all_0_8_8, all_0_3_3) = all_0_7_7, yields:
% 62.90/24.64 | (1170) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_3_3))
% 62.90/24.64 |
% 62.90/24.64 | Instantiating (1170) with all_381_0_490, all_381_1_491 yields:
% 63.04/24.64 | (1171) tl(all_0_7_7) = all_381_0_490 & ssItem(all_0_8_8) = all_381_1_491 & ( ~ (all_381_1_491 = 0) | all_381_0_490 = all_0_3_3)
% 63.04/24.64 |
% 63.04/24.64 | Applying alpha-rule on (1171) yields:
% 63.04/24.64 | (1172) tl(all_0_7_7) = all_381_0_490
% 63.04/24.64 | (1173) ssItem(all_0_8_8) = all_381_1_491
% 63.04/24.64 | (1174) ~ (all_381_1_491 = 0) | all_381_0_490 = all_0_3_3
% 63.04/24.64 |
% 63.04/24.64 +-Applying beta-rule and splitting (1169), into two cases.
% 63.04/24.64 |-Branch one:
% 63.04/24.64 | (474) all_0_3_3 = nil
% 63.04/24.64 |
% 63.04/24.64 | Equations (474) can reduce 473 to:
% 63.04/24.64 | (274) $false
% 63.04/24.64 |
% 63.04/24.64 |-The branch is then unsatisfiable
% 63.04/24.64 |-Branch two:
% 63.04/24.64 | (473) ~ (all_0_3_3 = nil)
% 63.04/24.64 | (1161) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 63.04/24.64 |
% 63.04/24.64 | Instantiating (1161) with all_457_0_596 yields:
% 63.04/24.64 | (1179) ~ (all_457_0_596 = 0) & ssItem(all_0_8_8) = all_457_0_596
% 63.04/24.64 |
% 63.04/24.64 | Applying alpha-rule on (1179) yields:
% 63.04/24.65 | (1180) ~ (all_457_0_596 = 0)
% 63.04/24.65 | (1181) ssItem(all_0_8_8) = all_457_0_596
% 63.04/24.65 |
% 63.04/24.65 | Instantiating formula (89) with all_0_8_8, all_457_0_596, 0 and discharging atoms ssItem(all_0_8_8) = all_457_0_596, ssItem(all_0_8_8) = 0, yields:
% 63.04/24.65 | (1182) all_457_0_596 = 0
% 63.04/24.65 |
% 63.04/24.65 | Instantiating formula (89) with all_0_8_8, all_381_1_491, all_457_0_596 and discharging atoms ssItem(all_0_8_8) = all_457_0_596, ssItem(all_0_8_8) = all_381_1_491, yields:
% 63.04/24.65 | (1183) all_457_0_596 = all_381_1_491
% 63.04/24.65 |
% 63.04/24.65 | Combining equations (1182,1183) yields a new equation:
% 63.04/24.65 | (1184) all_381_1_491 = 0
% 63.04/24.65 |
% 63.04/24.65 | Combining equations (1184,1183) yields a new equation:
% 63.04/24.65 | (1182) all_457_0_596 = 0
% 63.04/24.65 |
% 63.04/24.65 | Equations (1182) can reduce 1180 to:
% 63.04/24.65 | (274) $false
% 63.04/24.65 |
% 63.04/24.65 |-The branch is then unsatisfiable
% 63.04/24.65 |-Branch two:
% 63.04/24.65 | (1187) ~ (all_8_1_17 = all_0_7_7)
% 63.04/24.65 | (1188) ? [v0] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | ( ~ (v0 = 0) & ssList(all_0_6_6) = v0))
% 63.04/24.65 |
% 63.04/24.65 | Instantiating (1188) with all_282_0_601 yields:
% 63.04/24.65 | (1189) ( ~ (all_282_0_601 = 0) & ssList(all_8_1_17) = all_282_0_601) | ( ~ (all_282_0_601 = 0) & ssList(all_0_6_6) = all_282_0_601)
% 63.04/24.65 |
% 63.04/24.65 +-Applying beta-rule and splitting (1189), into two cases.
% 63.04/24.65 |-Branch one:
% 63.04/24.65 | (1190) ~ (all_282_0_601 = 0) & ssList(all_8_1_17) = all_282_0_601
% 63.04/24.65 |
% 63.04/24.65 | Applying alpha-rule on (1190) yields:
% 63.04/24.65 | (1191) ~ (all_282_0_601 = 0)
% 63.04/24.65 | (1192) ssList(all_8_1_17) = all_282_0_601
% 63.04/24.65 |
% 63.04/24.65 | Instantiating formula (49) with all_8_1_17, all_282_0_601, 0 and discharging atoms ssList(all_8_1_17) = all_282_0_601, ssList(all_8_1_17) = 0, yields:
% 63.04/24.65 | (1193) all_282_0_601 = 0
% 63.04/24.65 |
% 63.04/24.65 | Equations (1193) can reduce 1191 to:
% 63.04/24.65 | (274) $false
% 63.04/24.65 |
% 63.04/24.65 |-The branch is then unsatisfiable
% 63.04/24.65 |-Branch two:
% 63.04/24.65 | (1195) ~ (all_282_0_601 = 0) & ssList(all_0_6_6) = all_282_0_601
% 63.04/24.65 |
% 63.04/24.65 | Applying alpha-rule on (1195) yields:
% 63.04/24.65 | (1191) ~ (all_282_0_601 = 0)
% 63.04/24.65 | (1197) ssList(all_0_6_6) = all_282_0_601
% 63.04/24.65 |
% 63.04/24.65 | Instantiating formula (49) with all_0_6_6, all_282_0_601, 0 and discharging atoms ssList(all_0_6_6) = all_282_0_601, ssList(all_0_6_6) = 0, yields:
% 63.04/24.65 | (1193) all_282_0_601 = 0
% 63.04/24.65 |
% 63.04/24.65 | Equations (1193) can reduce 1191 to:
% 63.04/24.65 | (274) $false
% 63.04/24.65 |
% 63.04/24.65 |-The branch is then unsatisfiable
% 63.04/24.65 |-Branch two:
% 63.04/24.65 | (1200) ~ (all_0_5_5 = all_0_14_14)
% 63.04/24.65 | (1201) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 63.04/24.65 |
% 63.04/24.65 | Instantiating (1201) with all_258_0_602 yields:
% 63.04/24.65 | (1202) ~ (all_258_0_602 = 0) & ssList(all_0_5_5) = all_258_0_602
% 63.04/24.65 |
% 63.04/24.65 | Applying alpha-rule on (1202) yields:
% 63.04/24.65 | (1203) ~ (all_258_0_602 = 0)
% 63.04/24.65 | (1204) ssList(all_0_5_5) = all_258_0_602
% 63.04/24.65 |
% 63.04/24.65 | Instantiating formula (49) with all_0_5_5, all_258_0_602, 0 and discharging atoms ssList(all_0_5_5) = all_258_0_602, ssList(all_0_5_5) = 0, yields:
% 63.04/24.65 | (1205) all_258_0_602 = 0
% 63.04/24.65 |
% 63.04/24.65 | Equations (1205) can reduce 1203 to:
% 63.04/24.65 | (274) $false
% 63.04/24.65 |
% 63.04/24.65 |-The branch is then unsatisfiable
% 63.04/24.65 |-Branch two:
% 63.04/24.65 | (1207) ~ (all_0_2_2 = 0)
% 63.04/24.65 | (1208) all_0_4_4 = 0
% 63.04/24.65 |
% 63.04/24.65 | From (1208) and (45) follows:
% 63.04/24.65 | (1209) memberP(all_0_6_6, all_0_8_8) = 0
% 63.04/24.65 |
% 63.04/24.65 +-Applying beta-rule and splitting (168), into two cases.
% 63.04/24.65 |-Branch one:
% 63.04/24.65 | (472) ~ (app(all_0_5_5, nil) = all_0_14_14)
% 63.04/24.65 |
% 63.04/24.65 | Using (29) and (472) yields:
% 63.04/24.65 | (473) ~ (all_0_3_3 = nil)
% 63.04/24.65 |
% 63.04/24.65 +-Applying beta-rule and splitting (155), into two cases.
% 63.04/24.66 |-Branch one:
% 63.04/24.66 | (474) all_0_3_3 = nil
% 63.04/24.66 |
% 63.04/24.66 | Equations (474) can reduce 473 to:
% 63.04/24.66 | (274) $false
% 63.04/24.66 |
% 63.04/24.66 |-The branch is then unsatisfiable
% 63.04/24.66 |-Branch two:
% 63.04/24.66 | (473) ~ (all_0_3_3 = nil)
% 63.04/24.66 | (477) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 63.04/24.66 |
% 63.04/24.66 | Instantiating (477) with all_294_0_603, all_294_1_604 yields:
% 63.04/24.66 | (1216) ssList(all_294_1_604) = 0 & cons(all_294_0_603, all_294_1_604) = all_0_3_3 & ssItem(all_294_0_603) = 0
% 63.04/24.66 |
% 63.04/24.66 | Applying alpha-rule on (1216) yields:
% 63.04/24.66 | (1217) ssList(all_294_1_604) = 0
% 63.04/24.66 | (1218) cons(all_294_0_603, all_294_1_604) = all_0_3_3
% 63.04/24.66 | (1219) ssItem(all_294_0_603) = 0
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (98) with all_0_8_8, all_0_7_7, all_120_0_49, nil, nil and discharging atoms ssList(nil) = 0, cons(all_0_8_8, nil) = all_0_7_7, yields:
% 63.04/24.66 | (1220) all_120_0_49 = all_0_8_8 | ~ (cons(all_120_0_49, nil) = all_0_7_7) | ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (98) with all_0_8_8, all_0_7_7, all_120_0_49, nil, all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, ssList(nil) = 0, cons(all_120_0_49, all_120_1_50) = all_0_7_7, cons(all_0_8_8, nil) = all_0_7_7, yields:
% 63.04/24.66 | (1221) all_120_0_49 = all_0_8_8 | ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (115) with all_0_7_7, all_120_0_49, all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, cons(all_120_0_49, all_120_1_50) = all_0_7_7, yields:
% 63.04/24.66 | (487) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_1_50))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (17) with all_0_7_7, all_120_0_49, all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, cons(all_120_0_49, all_120_1_50) = all_0_7_7, yields:
% 63.04/24.66 | (488) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_0_49))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (115) with all_0_14_14, all_0_12_12, nil and discharging atoms ssList(nil) = 0, cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.66 | (490) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (17) with all_0_14_14, all_0_12_12, nil and discharging atoms ssList(nil) = 0, cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.66 | (491) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = all_0_12_12))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (90) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.66 | (492) ? [v0] : ? [v1] : (equalelemsP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (92) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.66 | (493) ? [v0] : ? [v1] : (duplicatefreeP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (33) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.66 | (494) ? [v0] : ? [v1] : (strictorderedP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (145) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.66 | (495) ? [v0] : ? [v1] : (totalorderedP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (97) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.66 | (496) ? [v0] : ? [v1] : (strictorderP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (134) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.66 | (497) ? [v0] : ? [v1] : (totalorderP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (87) with all_0_2_2, all_0_3_3, all_294_1_604, all_294_0_603, all_0_8_8 and discharging atoms memberP(all_0_3_3, all_0_8_8) = all_0_2_2, cons(all_294_0_603, all_294_1_604) = all_0_3_3, ssItem(all_294_0_603) = 0, ssItem(all_0_8_8) = 0, yields:
% 63.04/24.66 | (1232) ? [v0] : ? [v1] : (memberP(all_294_1_604, all_0_8_8) = v1 & ssList(all_294_1_604) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_294_0_603 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_294_0_603 = all_0_8_8))))))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (21) with all_8_1_17, all_0_3_3, all_294_1_604, all_0_6_6, all_294_0_603, all_0_8_8, all_0_14_14 and discharging atoms ssList(all_0_6_6) = 0, cons(all_294_0_603, all_294_1_604) = all_0_3_3, cons(all_0_8_8, all_0_3_3) = all_8_1_17, app(all_0_6_6, all_8_1_17) = all_0_14_14, ssItem(all_294_0_603) = 0, ssItem(all_0_8_8) = 0, yields:
% 63.04/24.66 | (1233) all_294_0_603 = all_0_8_8 | ~ (equalelemsP(all_0_14_14) = 0) | ? [v0] : (( ~ (v0 = 0) & ssList(all_294_1_604) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating formula (87) with all_0_2_2, all_0_3_3, all_294_1_604, all_120_0_49, all_0_8_8 and discharging atoms memberP(all_0_3_3, all_0_8_8) = all_0_2_2, ssItem(all_120_0_49) = 0, ssItem(all_0_8_8) = 0, yields:
% 63.04/24.66 | (1234) ~ (cons(all_120_0_49, all_294_1_604) = all_0_3_3) | ? [v0] : ? [v1] : (memberP(all_294_1_604, all_0_8_8) = v1 & ssList(all_294_1_604) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_120_0_49 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_120_0_49 = all_0_8_8))))))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating (1232) with all_349_0_692, all_349_1_693 yields:
% 63.04/24.66 | (1235) memberP(all_294_1_604, all_0_8_8) = all_349_0_692 & ssList(all_294_1_604) = all_349_1_693 & ( ~ (all_349_1_693 = 0) | (( ~ (all_0_2_2 = 0) | all_349_0_692 = 0 | all_294_0_603 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_349_0_692 = 0) & ~ (all_294_0_603 = all_0_8_8)))))
% 63.04/24.66 |
% 63.04/24.66 | Applying alpha-rule on (1235) yields:
% 63.04/24.66 | (1236) memberP(all_294_1_604, all_0_8_8) = all_349_0_692
% 63.04/24.66 | (1237) ssList(all_294_1_604) = all_349_1_693
% 63.04/24.66 | (1238) ~ (all_349_1_693 = 0) | (( ~ (all_0_2_2 = 0) | all_349_0_692 = 0 | all_294_0_603 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_349_0_692 = 0) & ~ (all_294_0_603 = all_0_8_8))))
% 63.04/24.66 |
% 63.04/24.66 | Instantiating (496) with all_353_0_696, all_353_1_697 yields:
% 63.04/24.66 | (1239) strictorderP(all_0_14_14) = all_353_0_696 & ssItem(all_0_12_12) = all_353_1_697 & ( ~ (all_353_1_697 = 0) | all_353_0_696 = 0)
% 63.04/24.66 |
% 63.04/24.66 | Applying alpha-rule on (1239) yields:
% 63.04/24.66 | (1240) strictorderP(all_0_14_14) = all_353_0_696
% 63.04/24.66 | (1241) ssItem(all_0_12_12) = all_353_1_697
% 63.04/24.67 | (1242) ~ (all_353_1_697 = 0) | all_353_0_696 = 0
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (495) with all_355_0_698, all_355_1_699 yields:
% 63.04/24.67 | (1243) totalorderedP(all_0_14_14) = all_355_0_698 & ssItem(all_0_12_12) = all_355_1_699 & ( ~ (all_355_1_699 = 0) | all_355_0_698 = 0)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1243) yields:
% 63.04/24.67 | (1244) totalorderedP(all_0_14_14) = all_355_0_698
% 63.04/24.67 | (1245) ssItem(all_0_12_12) = all_355_1_699
% 63.04/24.67 | (1246) ~ (all_355_1_699 = 0) | all_355_0_698 = 0
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (497) with all_357_0_700, all_357_1_701 yields:
% 63.04/24.67 | (1247) totalorderP(all_0_14_14) = all_357_0_700 & ssItem(all_0_12_12) = all_357_1_701 & ( ~ (all_357_1_701 = 0) | all_357_0_700 = 0)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1247) yields:
% 63.04/24.67 | (1248) totalorderP(all_0_14_14) = all_357_0_700
% 63.04/24.67 | (1249) ssItem(all_0_12_12) = all_357_1_701
% 63.04/24.67 | (1250) ~ (all_357_1_701 = 0) | all_357_0_700 = 0
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (494) with all_361_0_704, all_361_1_705 yields:
% 63.04/24.67 | (1251) strictorderedP(all_0_14_14) = all_361_0_704 & ssItem(all_0_12_12) = all_361_1_705 & ( ~ (all_361_1_705 = 0) | all_361_0_704 = 0)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1251) yields:
% 63.04/24.67 | (1252) strictorderedP(all_0_14_14) = all_361_0_704
% 63.04/24.67 | (1253) ssItem(all_0_12_12) = all_361_1_705
% 63.04/24.67 | (1254) ~ (all_361_1_705 = 0) | all_361_0_704 = 0
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (493) with all_363_0_706, all_363_1_707 yields:
% 63.04/24.67 | (1255) duplicatefreeP(all_0_14_14) = all_363_0_706 & ssItem(all_0_12_12) = all_363_1_707 & ( ~ (all_363_1_707 = 0) | all_363_0_706 = 0)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1255) yields:
% 63.04/24.67 | (1256) duplicatefreeP(all_0_14_14) = all_363_0_706
% 63.04/24.67 | (1257) ssItem(all_0_12_12) = all_363_1_707
% 63.04/24.67 | (1258) ~ (all_363_1_707 = 0) | all_363_0_706 = 0
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (492) with all_367_0_710, all_367_1_711 yields:
% 63.04/24.67 | (1259) equalelemsP(all_0_14_14) = all_367_0_710 & ssItem(all_0_12_12) = all_367_1_711 & ( ~ (all_367_1_711 = 0) | all_367_0_710 = 0)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1259) yields:
% 63.04/24.67 | (1260) equalelemsP(all_0_14_14) = all_367_0_710
% 63.04/24.67 | (1261) ssItem(all_0_12_12) = all_367_1_711
% 63.04/24.67 | (1262) ~ (all_367_1_711 = 0) | all_367_0_710 = 0
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (488) with all_369_0_712, all_369_1_713 yields:
% 63.04/24.67 | (1263) hd(all_0_7_7) = all_369_0_712 & ssItem(all_120_0_49) = all_369_1_713 & ( ~ (all_369_1_713 = 0) | all_369_0_712 = all_120_0_49)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1263) yields:
% 63.04/24.67 | (1264) hd(all_0_7_7) = all_369_0_712
% 63.04/24.67 | (1265) ssItem(all_120_0_49) = all_369_1_713
% 63.04/24.67 | (1266) ~ (all_369_1_713 = 0) | all_369_0_712 = all_120_0_49
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (487) with all_371_0_714, all_371_1_715 yields:
% 63.04/24.67 | (1267) tl(all_0_7_7) = all_371_0_714 & ssItem(all_120_0_49) = all_371_1_715 & ( ~ (all_371_1_715 = 0) | all_371_0_714 = all_120_1_50)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1267) yields:
% 63.04/24.67 | (1268) tl(all_0_7_7) = all_371_0_714
% 63.04/24.67 | (1269) ssItem(all_120_0_49) = all_371_1_715
% 63.04/24.67 | (1270) ~ (all_371_1_715 = 0) | all_371_0_714 = all_120_1_50
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (491) with all_377_0_720, all_377_1_721 yields:
% 63.04/24.67 | (1271) hd(all_0_14_14) = all_377_0_720 & ssItem(all_0_12_12) = all_377_1_721 & ( ~ (all_377_1_721 = 0) | all_377_0_720 = all_0_12_12)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1271) yields:
% 63.04/24.67 | (1272) hd(all_0_14_14) = all_377_0_720
% 63.04/24.67 | (1273) ssItem(all_0_12_12) = all_377_1_721
% 63.04/24.67 | (1274) ~ (all_377_1_721 = 0) | all_377_0_720 = all_0_12_12
% 63.04/24.67 |
% 63.04/24.67 | Instantiating (490) with all_379_0_722, all_379_1_723 yields:
% 63.04/24.67 | (1275) tl(all_0_14_14) = all_379_0_722 & ssItem(all_0_12_12) = all_379_1_723 & ( ~ (all_379_1_723 = 0) | all_379_0_722 = nil)
% 63.04/24.67 |
% 63.04/24.67 | Applying alpha-rule on (1275) yields:
% 63.04/24.67 | (1276) tl(all_0_14_14) = all_379_0_722
% 63.04/24.67 | (1277) ssItem(all_0_12_12) = all_379_1_723
% 63.04/24.67 | (1278) ~ (all_379_1_723 = 0) | all_379_0_722 = nil
% 63.04/24.67 |
% 63.04/24.67 | Instantiating formula (24) with all_0_7_7, all_371_0_714, nil and discharging atoms tl(all_0_7_7) = all_371_0_714, tl(all_0_7_7) = nil, yields:
% 63.04/24.67 | (1279) all_371_0_714 = nil
% 63.04/24.67 |
% 63.04/24.67 | Instantiating formula (94) with all_0_7_7, all_369_0_712, all_0_8_8 and discharging atoms hd(all_0_7_7) = all_369_0_712, hd(all_0_7_7) = all_0_8_8, yields:
% 63.04/24.67 | (1280) all_369_0_712 = all_0_8_8
% 63.04/24.67 |
% 63.04/24.67 | Instantiating formula (49) with all_294_1_604, all_349_1_693, 0 and discharging atoms ssList(all_294_1_604) = all_349_1_693, ssList(all_294_1_604) = 0, yields:
% 63.04/24.67 | (1281) all_349_1_693 = 0
% 63.04/24.67 |
% 63.04/24.67 | Instantiating formula (89) with all_120_0_49, all_371_1_715, 0 and discharging atoms ssItem(all_120_0_49) = all_371_1_715, ssItem(all_120_0_49) = 0, yields:
% 63.04/24.67 | (1282) all_371_1_715 = 0
% 63.04/24.67 |
% 63.04/24.67 | Instantiating formula (89) with all_120_0_49, all_369_1_713, all_371_1_715 and discharging atoms ssItem(all_120_0_49) = all_371_1_715, ssItem(all_120_0_49) = all_369_1_713, yields:
% 63.04/24.67 | (1283) all_371_1_715 = all_369_1_713
% 63.04/24.67 |
% 63.04/24.67 | Instantiating formula (89) with all_0_12_12, all_377_1_721, all_379_1_723 and discharging atoms ssItem(all_0_12_12) = all_379_1_723, ssItem(all_0_12_12) = all_377_1_721, yields:
% 63.04/24.67 | (1284) all_379_1_723 = all_377_1_721
% 63.04/24.67 |
% 63.04/24.67 | Instantiating formula (89) with all_0_12_12, all_367_1_711, all_377_1_721 and discharging atoms ssItem(all_0_12_12) = all_377_1_721, ssItem(all_0_12_12) = all_367_1_711, yields:
% 63.04/24.68 | (1285) all_377_1_721 = all_367_1_711
% 63.04/24.68 |
% 63.04/24.68 | Instantiating formula (89) with all_0_12_12, all_363_1_707, 0 and discharging atoms ssItem(all_0_12_12) = all_363_1_707, ssItem(all_0_12_12) = 0, yields:
% 63.04/24.68 | (1286) all_363_1_707 = 0
% 63.04/24.68 |
% 63.04/24.68 | Instantiating formula (89) with all_0_12_12, all_361_1_705, all_363_1_707 and discharging atoms ssItem(all_0_12_12) = all_363_1_707, ssItem(all_0_12_12) = all_361_1_705, yields:
% 63.04/24.68 | (1287) all_363_1_707 = all_361_1_705
% 63.04/24.68 |
% 63.04/24.68 | Instantiating formula (89) with all_0_12_12, all_357_1_701, all_377_1_721 and discharging atoms ssItem(all_0_12_12) = all_377_1_721, ssItem(all_0_12_12) = all_357_1_701, yields:
% 63.04/24.68 | (1288) all_377_1_721 = all_357_1_701
% 63.04/24.68 |
% 63.04/24.68 | Instantiating formula (89) with all_0_12_12, all_357_1_701, all_363_1_707 and discharging atoms ssItem(all_0_12_12) = all_363_1_707, ssItem(all_0_12_12) = all_357_1_701, yields:
% 63.04/24.68 | (1289) all_363_1_707 = all_357_1_701
% 63.04/24.68 |
% 63.04/24.68 | Instantiating formula (89) with all_0_12_12, all_355_1_699, all_357_1_701 and discharging atoms ssItem(all_0_12_12) = all_357_1_701, ssItem(all_0_12_12) = all_355_1_699, yields:
% 63.04/24.68 | (1290) all_357_1_701 = all_355_1_699
% 63.04/24.68 |
% 63.04/24.68 | Instantiating formula (89) with all_0_12_12, all_353_1_697, all_379_1_723 and discharging atoms ssItem(all_0_12_12) = all_379_1_723, ssItem(all_0_12_12) = all_353_1_697, yields:
% 63.04/24.68 | (1291) all_379_1_723 = all_353_1_697
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1284,1291) yields a new equation:
% 63.04/24.68 | (1292) all_377_1_721 = all_353_1_697
% 63.04/24.68 |
% 63.04/24.68 | Simplifying 1292 yields:
% 63.04/24.68 | (1293) all_377_1_721 = all_353_1_697
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1288,1285) yields a new equation:
% 63.04/24.68 | (1294) all_367_1_711 = all_357_1_701
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1293,1285) yields a new equation:
% 63.04/24.68 | (1295) all_367_1_711 = all_353_1_697
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1282,1283) yields a new equation:
% 63.04/24.68 | (1296) all_369_1_713 = 0
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1294,1295) yields a new equation:
% 63.04/24.68 | (1297) all_357_1_701 = all_353_1_697
% 63.04/24.68 |
% 63.04/24.68 | Simplifying 1297 yields:
% 63.04/24.68 | (1298) all_357_1_701 = all_353_1_697
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1286,1287) yields a new equation:
% 63.04/24.68 | (1299) all_361_1_705 = 0
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1289,1287) yields a new equation:
% 63.04/24.68 | (1300) all_361_1_705 = all_357_1_701
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1300,1299) yields a new equation:
% 63.04/24.68 | (1301) all_357_1_701 = 0
% 63.04/24.68 |
% 63.04/24.68 | Simplifying 1301 yields:
% 63.04/24.68 | (1302) all_357_1_701 = 0
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1298,1290) yields a new equation:
% 63.04/24.68 | (1303) all_355_1_699 = all_353_1_697
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1302,1290) yields a new equation:
% 63.04/24.68 | (1304) all_355_1_699 = 0
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1303,1304) yields a new equation:
% 63.04/24.68 | (1305) all_353_1_697 = 0
% 63.04/24.68 |
% 63.04/24.68 | Simplifying 1305 yields:
% 63.04/24.68 | (1306) all_353_1_697 = 0
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1306,1295) yields a new equation:
% 63.04/24.68 | (1307) all_367_1_711 = 0
% 63.04/24.68 |
% 63.04/24.68 | Combining equations (1296,1283) yields a new equation:
% 63.04/24.68 | (1282) all_371_1_715 = 0
% 63.04/24.68 |
% 63.04/24.68 | From (1281) and (1237) follows:
% 63.04/24.68 | (1217) ssList(all_294_1_604) = 0
% 63.04/24.68 |
% 63.04/24.68 +-Applying beta-rule and splitting (1262), into two cases.
% 63.04/24.68 |-Branch one:
% 63.04/24.68 | (1310) ~ (all_367_1_711 = 0)
% 63.04/24.68 |
% 63.04/24.68 | Equations (1307) can reduce 1310 to:
% 63.04/24.68 | (274) $false
% 63.04/24.68 |
% 63.04/24.68 |-The branch is then unsatisfiable
% 63.04/24.68 |-Branch two:
% 63.04/24.68 | (1307) all_367_1_711 = 0
% 63.04/24.68 | (1313) all_367_0_710 = 0
% 63.04/24.68 |
% 63.04/24.68 | From (1313) and (1260) follows:
% 63.04/24.68 | (636) equalelemsP(all_0_14_14) = 0
% 63.04/24.68 |
% 63.04/24.68 +-Applying beta-rule and splitting (1221), into two cases.
% 63.04/24.68 |-Branch one:
% 63.04/24.68 | (629) all_120_0_49 = all_0_8_8
% 63.04/24.68 |
% 63.04/24.68 +-Applying beta-rule and splitting (1234), into two cases.
% 63.04/24.68 |-Branch one:
% 63.04/24.68 | (1316) ~ (cons(all_120_0_49, all_294_1_604) = all_0_3_3)
% 63.04/24.68 |
% 63.04/24.68 | From (629) and (1316) follows:
% 63.04/24.68 | (1317) ~ (cons(all_0_8_8, all_294_1_604) = all_0_3_3)
% 63.04/24.68 |
% 63.04/24.68 +-Applying beta-rule and splitting (1233), into two cases.
% 63.04/24.68 |-Branch one:
% 63.04/24.68 | (651) ~ (equalelemsP(all_0_14_14) = 0)
% 63.04/24.68 |
% 63.04/24.68 | Using (636) and (651) yields:
% 63.04/24.68 | (617) $false
% 63.04/24.69 |
% 63.04/24.69 |-The branch is then unsatisfiable
% 63.04/24.69 |-Branch two:
% 63.04/24.69 | (636) equalelemsP(all_0_14_14) = 0
% 63.04/24.69 | (1321) all_294_0_603 = all_0_8_8 | ? [v0] : (( ~ (v0 = 0) & ssList(all_294_1_604) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 63.04/24.69 |
% 63.04/24.69 +-Applying beta-rule and splitting (1321), into two cases.
% 63.04/24.69 |-Branch one:
% 63.04/24.69 | (1322) all_294_0_603 = all_0_8_8
% 63.04/24.69 |
% 63.04/24.69 | From (1322) and (1218) follows:
% 63.04/24.69 | (1323) cons(all_0_8_8, all_294_1_604) = all_0_3_3
% 63.04/24.69 |
% 63.04/24.69 | Using (1323) and (1317) yields:
% 63.04/24.69 | (617) $false
% 63.04/24.69 |
% 63.04/24.69 |-The branch is then unsatisfiable
% 63.04/24.69 |-Branch two:
% 63.04/24.69 | (1325) ~ (all_294_0_603 = all_0_8_8)
% 63.04/24.69 | (1326) ? [v0] : (( ~ (v0 = 0) & ssList(all_294_1_604) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 63.04/24.69 |
% 63.04/24.69 | Instantiating (1326) with all_513_0_732 yields:
% 63.04/24.69 | (1327) ( ~ (all_513_0_732 = 0) & ssList(all_294_1_604) = all_513_0_732) | ( ~ (all_513_0_732 = 0) & ssList(all_0_14_14) = all_513_0_732)
% 63.04/24.69 |
% 63.04/24.69 +-Applying beta-rule and splitting (1327), into two cases.
% 63.04/24.69 |-Branch one:
% 63.04/24.69 | (1328) ~ (all_513_0_732 = 0) & ssList(all_294_1_604) = all_513_0_732
% 63.04/24.69 |
% 63.04/24.69 | Applying alpha-rule on (1328) yields:
% 63.04/24.69 | (1329) ~ (all_513_0_732 = 0)
% 63.04/24.69 | (1330) ssList(all_294_1_604) = all_513_0_732
% 63.04/24.69 |
% 63.04/24.69 | Instantiating formula (49) with all_294_1_604, all_513_0_732, 0 and discharging atoms ssList(all_294_1_604) = all_513_0_732, ssList(all_294_1_604) = 0, yields:
% 63.04/24.69 | (1331) all_513_0_732 = 0
% 63.04/24.69 |
% 63.04/24.69 | Equations (1331) can reduce 1329 to:
% 63.04/24.69 | (274) $false
% 63.04/24.69 |
% 63.04/24.69 |-The branch is then unsatisfiable
% 63.04/24.69 |-Branch two:
% 63.04/24.69 | (1333) ~ (all_513_0_732 = 0) & ssList(all_0_14_14) = all_513_0_732
% 63.04/24.69 |
% 63.04/24.69 | Applying alpha-rule on (1333) yields:
% 63.04/24.69 | (1329) ~ (all_513_0_732 = 0)
% 63.04/24.69 | (1335) ssList(all_0_14_14) = all_513_0_732
% 63.04/24.69 |
% 63.04/24.69 | Instantiating formula (49) with all_0_14_14, all_513_0_732, 0 and discharging atoms ssList(all_0_14_14) = all_513_0_732, ssList(all_0_14_14) = 0, yields:
% 63.04/24.69 | (1331) all_513_0_732 = 0
% 63.04/24.69 |
% 63.04/24.69 | Equations (1331) can reduce 1329 to:
% 63.04/24.69 | (274) $false
% 63.04/24.69 |
% 63.04/24.69 |-The branch is then unsatisfiable
% 63.04/24.69 |-Branch two:
% 63.04/24.69 | (1338) cons(all_120_0_49, all_294_1_604) = all_0_3_3
% 63.04/24.69 | (1339) ? [v0] : ? [v1] : (memberP(all_294_1_604, all_0_8_8) = v1 & ssList(all_294_1_604) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_120_0_49 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_120_0_49 = all_0_8_8))))))
% 63.04/24.69 |
% 63.04/24.69 | Instantiating (1339) with all_459_0_733, all_459_1_734 yields:
% 63.04/24.69 | (1340) memberP(all_294_1_604, all_0_8_8) = all_459_0_733 & ssList(all_294_1_604) = all_459_1_734 & ( ~ (all_459_1_734 = 0) | (( ~ (all_0_2_2 = 0) | all_459_0_733 = 0 | all_120_0_49 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_459_0_733 = 0) & ~ (all_120_0_49 = all_0_8_8)))))
% 63.04/24.69 |
% 63.04/24.69 | Applying alpha-rule on (1340) yields:
% 63.04/24.69 | (1341) memberP(all_294_1_604, all_0_8_8) = all_459_0_733
% 63.04/24.69 | (1342) ssList(all_294_1_604) = all_459_1_734
% 63.04/24.69 | (1343) ~ (all_459_1_734 = 0) | (( ~ (all_0_2_2 = 0) | all_459_0_733 = 0 | all_120_0_49 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_459_0_733 = 0) & ~ (all_120_0_49 = all_0_8_8))))
% 63.04/24.69 |
% 63.04/24.69 +-Applying beta-rule and splitting (1238), into two cases.
% 63.04/24.69 |-Branch one:
% 63.04/24.69 | (1344) ~ (all_349_1_693 = 0)
% 63.04/24.69 |
% 63.04/24.69 | Equations (1281) can reduce 1344 to:
% 63.04/24.69 | (274) $false
% 63.04/24.69 |
% 63.04/24.69 |-The branch is then unsatisfiable
% 63.04/24.69 |-Branch two:
% 63.04/24.69 | (1281) all_349_1_693 = 0
% 63.04/24.69 | (1347) ( ~ (all_0_2_2 = 0) | all_349_0_692 = 0 | all_294_0_603 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_349_0_692 = 0) & ~ (all_294_0_603 = all_0_8_8)))
% 63.04/24.69 |
% 63.04/24.69 | Applying alpha-rule on (1347) yields:
% 63.04/24.69 | (1348) ~ (all_0_2_2 = 0) | all_349_0_692 = 0 | all_294_0_603 = all_0_8_8
% 63.04/24.69 | (1349) all_0_2_2 = 0 | ( ~ (all_349_0_692 = 0) & ~ (all_294_0_603 = all_0_8_8))
% 63.04/24.69 |
% 63.04/24.69 +-Applying beta-rule and splitting (1343), into two cases.
% 63.04/24.69 |-Branch one:
% 63.04/24.69 | (1350) ~ (all_459_1_734 = 0)
% 63.04/24.69 |
% 63.04/24.69 | Instantiating formula (49) with all_294_1_604, all_459_1_734, 0 and discharging atoms ssList(all_294_1_604) = all_459_1_734, ssList(all_294_1_604) = 0, yields:
% 63.04/24.69 | (1351) all_459_1_734 = 0
% 63.04/24.69 |
% 63.04/24.69 | Equations (1351) can reduce 1350 to:
% 63.04/24.69 | (274) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (1351) all_459_1_734 = 0
% 63.04/24.70 | (1354) ( ~ (all_0_2_2 = 0) | all_459_0_733 = 0 | all_120_0_49 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_459_0_733 = 0) & ~ (all_120_0_49 = all_0_8_8)))
% 63.04/24.70 |
% 63.04/24.70 | Applying alpha-rule on (1354) yields:
% 63.04/24.70 | (1355) ~ (all_0_2_2 = 0) | all_459_0_733 = 0 | all_120_0_49 = all_0_8_8
% 63.04/24.70 | (1356) all_0_2_2 = 0 | ( ~ (all_459_0_733 = 0) & ~ (all_120_0_49 = all_0_8_8))
% 63.04/24.70 |
% 63.04/24.70 +-Applying beta-rule and splitting (1349), into two cases.
% 63.04/24.70 |-Branch one:
% 63.04/24.70 | (470) all_0_2_2 = 0
% 63.04/24.70 |
% 63.04/24.70 | Equations (470) can reduce 1207 to:
% 63.04/24.70 | (274) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (1207) ~ (all_0_2_2 = 0)
% 63.04/24.70 | (1360) ~ (all_349_0_692 = 0) & ~ (all_294_0_603 = all_0_8_8)
% 63.04/24.70 |
% 63.04/24.70 +-Applying beta-rule and splitting (1356), into two cases.
% 63.04/24.70 |-Branch one:
% 63.04/24.70 | (470) all_0_2_2 = 0
% 63.04/24.70 |
% 63.04/24.70 | Equations (470) can reduce 1207 to:
% 63.04/24.70 | (274) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (1207) ~ (all_0_2_2 = 0)
% 63.04/24.70 | (1364) ~ (all_459_0_733 = 0) & ~ (all_120_0_49 = all_0_8_8)
% 63.04/24.70 |
% 63.04/24.70 | Applying alpha-rule on (1364) yields:
% 63.04/24.70 | (1365) ~ (all_459_0_733 = 0)
% 63.04/24.70 | (1366) ~ (all_120_0_49 = all_0_8_8)
% 63.04/24.70 |
% 63.04/24.70 | Equations (629) can reduce 1366 to:
% 63.04/24.70 | (274) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (1366) ~ (all_120_0_49 = all_0_8_8)
% 63.04/24.70 | (1071) ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 63.04/24.70 |
% 63.04/24.70 +-Applying beta-rule and splitting (1220), into two cases.
% 63.04/24.70 |-Branch one:
% 63.04/24.70 | (616) ~ (cons(all_120_0_49, nil) = all_0_7_7)
% 63.04/24.70 |
% 63.04/24.70 +-Applying beta-rule and splitting (1270), into two cases.
% 63.04/24.70 |-Branch one:
% 63.04/24.70 | (1371) ~ (all_371_1_715 = 0)
% 63.04/24.70 |
% 63.04/24.70 | Equations (1282) can reduce 1371 to:
% 63.04/24.70 | (274) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (1282) all_371_1_715 = 0
% 63.04/24.70 | (1374) all_371_0_714 = all_120_1_50
% 63.04/24.70 |
% 63.04/24.70 | Combining equations (1279,1374) yields a new equation:
% 63.04/24.70 | (614) all_120_1_50 = nil
% 63.04/24.70 |
% 63.04/24.70 | From (614) and (357) follows:
% 63.04/24.70 | (615) cons(all_120_0_49, nil) = all_0_7_7
% 63.04/24.70 |
% 63.04/24.70 | Using (615) and (616) yields:
% 63.04/24.70 | (617) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (615) cons(all_120_0_49, nil) = all_0_7_7
% 63.04/24.70 | (1221) all_120_0_49 = all_0_8_8 | ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 63.04/24.70 |
% 63.04/24.70 +-Applying beta-rule and splitting (1221), into two cases.
% 63.04/24.70 |-Branch one:
% 63.04/24.70 | (629) all_120_0_49 = all_0_8_8
% 63.04/24.70 |
% 63.04/24.70 | Equations (629) can reduce 1366 to:
% 63.04/24.70 | (274) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (1366) ~ (all_120_0_49 = all_0_8_8)
% 63.04/24.70 | (1071) ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 63.04/24.70 |
% 63.04/24.70 +-Applying beta-rule and splitting (1266), into two cases.
% 63.04/24.70 |-Branch one:
% 63.04/24.70 | (1384) ~ (all_369_1_713 = 0)
% 63.04/24.70 |
% 63.04/24.70 | Equations (1296) can reduce 1384 to:
% 63.04/24.70 | (274) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (1296) all_369_1_713 = 0
% 63.04/24.70 | (1387) all_369_0_712 = all_120_0_49
% 63.04/24.70 |
% 63.04/24.70 | Combining equations (1387,1280) yields a new equation:
% 63.04/24.70 | (628) all_120_0_49 = all_0_8_8
% 63.04/24.70 |
% 63.04/24.70 | Simplifying 628 yields:
% 63.04/24.70 | (629) all_120_0_49 = all_0_8_8
% 63.04/24.70 |
% 63.04/24.70 | Equations (629) can reduce 1366 to:
% 63.04/24.70 | (274) $false
% 63.04/24.70 |
% 63.04/24.70 |-The branch is then unsatisfiable
% 63.04/24.70 |-Branch two:
% 63.04/24.70 | (1082) app(all_0_5_5, nil) = all_0_14_14
% 63.04/24.71 | (1083) all_0_5_5 = all_0_14_14 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 63.04/24.71 |
% 63.04/24.71 +-Applying beta-rule and splitting (1083), into two cases.
% 63.04/24.71 |-Branch one:
% 63.04/24.71 | (1084) all_0_5_5 = all_0_14_14
% 63.04/24.71 |
% 63.04/24.71 | From (1084) and (289) follows:
% 63.04/24.71 | (88) ssList(all_0_14_14) = 0
% 63.04/24.71 |
% 63.04/24.71 | From (1084) and (29) follows:
% 63.04/24.71 | (1085) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 63.04/24.71 |
% 63.04/24.71 | From (1084) and (1082) follows:
% 63.04/24.71 | (1396) app(all_0_14_14, nil) = all_0_14_14
% 63.04/24.71 |
% 63.04/24.71 | From (1084) and (147) follows:
% 63.04/24.71 | (1086) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 63.04/24.71 |
% 63.04/24.71 +-Applying beta-rule and splitting (330), into two cases.
% 63.04/24.71 |-Branch one:
% 63.04/24.71 | (1087) ~ (app(all_0_6_6, all_0_7_7) = all_0_14_14)
% 63.04/24.71 |
% 63.04/24.71 | Using (1086) and (1087) yields:
% 63.04/24.71 | (617) $false
% 63.04/24.71 |
% 63.04/24.71 |-The branch is then unsatisfiable
% 63.04/24.71 |-Branch two:
% 63.04/24.71 | (1086) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 63.04/24.71 | (1090) all_8_1_17 = all_0_7_7 | ? [v0] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | ( ~ (v0 = 0) & ssList(all_0_6_6) = v0))
% 63.04/24.71 |
% 63.04/24.71 +-Applying beta-rule and splitting (1090), into two cases.
% 63.04/24.71 |-Branch one:
% 63.04/24.71 | (1111) all_8_1_17 = all_0_7_7
% 63.04/24.71 |
% 63.04/24.71 | Combining equations (1111,433) yields a new equation:
% 63.04/24.71 | (1403) all_110_0_43 = all_0_7_7
% 63.04/24.71 |
% 63.04/24.71 | From (1111) and (451) follows:
% 63.04/24.71 | (305) hd(all_0_7_7) = all_0_8_8
% 63.04/24.71 |
% 63.04/24.71 | From (1111) and (429) follows:
% 63.04/24.71 | (284) ssList(all_0_7_7) = 0
% 63.04/24.71 |
% 63.04/24.71 | From (1111) and (434) follows:
% 63.04/24.71 | (1112) cons(all_0_8_8, all_0_3_3) = all_0_7_7
% 63.04/24.71 |
% 63.04/24.71 | From (1111) and (321) follows:
% 63.04/24.71 | (1086) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 63.04/24.71 |
% 63.04/24.71 | From (1111) and (299) follows:
% 63.04/24.71 | (1113) app(all_0_7_7, all_0_3_3) = all_0_7_7
% 63.04/24.71 |
% 63.04/24.71 +-Applying beta-rule and splitting (324), into two cases.
% 63.04/24.71 |-Branch one:
% 63.04/24.71 | (1091) ~ (app(all_0_14_14, all_0_3_3) = all_0_14_14)
% 63.04/24.71 |
% 63.04/24.71 | Using (1085) and (1091) yields:
% 63.04/24.71 | (617) $false
% 63.04/24.71 |
% 63.04/24.71 |-The branch is then unsatisfiable
% 63.04/24.71 |-Branch two:
% 63.04/24.71 | (1085) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 63.04/24.71 | (1099) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_3_3) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & app(all_0_14_14, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_14_14)))
% 63.04/24.71 |
% 63.04/24.71 | Instantiating (1099) with all_306_0_741, all_306_1_742, all_306_2_743 yields:
% 63.04/24.71 | (1413) ( ~ (all_306_2_743 = 0) & ssList(all_0_3_3) = all_306_2_743) | (ssList(all_0_3_3) = all_306_2_743 & app(all_0_3_3, all_0_3_3) = all_306_1_742 & app(all_0_14_14, all_306_1_742) = all_306_0_741 & ( ~ (all_306_2_743 = 0) | all_306_0_741 = all_0_14_14))
% 63.04/24.71 |
% 63.04/24.71 +-Applying beta-rule and splitting (333), into two cases.
% 63.04/24.71 |-Branch one:
% 63.04/24.71 | (1114) ~ (app(all_0_7_7, all_0_3_3) = all_0_7_7)
% 63.04/24.71 |
% 63.04/24.71 | Using (1113) and (1114) yields:
% 63.04/24.71 | (617) $false
% 63.04/24.71 |
% 63.04/24.71 |-The branch is then unsatisfiable
% 63.04/24.71 |-Branch two:
% 63.04/24.71 | (1113) app(all_0_7_7, all_0_3_3) = all_0_7_7
% 63.04/24.71 | (1117) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_3_3) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_3_3, all_0_3_3) = v1 & app(all_0_7_7, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_7_7)))
% 63.04/24.71 |
% 63.04/24.71 | Instantiating (1117) with all_310_0_744, all_310_1_745, all_310_2_746 yields:
% 63.04/24.71 | (1418) ( ~ (all_310_2_746 = 0) & ssList(all_0_3_3) = all_310_2_746) | (ssList(all_0_3_3) = all_310_2_746 & app(all_0_3_3, all_0_3_3) = all_310_1_745 & app(all_0_7_7, all_310_1_745) = all_310_0_744 & ( ~ (all_310_2_746 = 0) | all_310_0_744 = all_0_7_7))
% 63.04/24.71 |
% 63.04/24.71 +-Applying beta-rule and splitting (1418), into two cases.
% 63.04/24.71 |-Branch one:
% 63.04/24.71 | (1419) ~ (all_310_2_746 = 0) & ssList(all_0_3_3) = all_310_2_746
% 63.04/24.71 |
% 63.04/24.71 | Applying alpha-rule on (1419) yields:
% 63.04/24.71 | (1420) ~ (all_310_2_746 = 0)
% 63.04/24.71 | (1421) ssList(all_0_3_3) = all_310_2_746
% 63.04/24.71 |
% 63.04/24.71 | Instantiating formula (49) with all_0_3_3, all_310_2_746, 0 and discharging atoms ssList(all_0_3_3) = all_310_2_746, ssList(all_0_3_3) = 0, yields:
% 63.04/24.71 | (1422) all_310_2_746 = 0
% 63.04/24.71 |
% 63.04/24.71 | Equations (1422) can reduce 1420 to:
% 63.04/24.71 | (274) $false
% 63.04/24.71 |
% 63.04/24.71 |-The branch is then unsatisfiable
% 63.04/24.71 |-Branch two:
% 63.04/24.71 | (1424) ssList(all_0_3_3) = all_310_2_746 & app(all_0_3_3, all_0_3_3) = all_310_1_745 & app(all_0_7_7, all_310_1_745) = all_310_0_744 & ( ~ (all_310_2_746 = 0) | all_310_0_744 = all_0_7_7)
% 63.04/24.71 |
% 63.04/24.71 | Applying alpha-rule on (1424) yields:
% 63.04/24.71 | (1421) ssList(all_0_3_3) = all_310_2_746
% 63.04/24.71 | (1426) app(all_0_3_3, all_0_3_3) = all_310_1_745
% 63.04/24.71 | (1427) app(all_0_7_7, all_310_1_745) = all_310_0_744
% 63.04/24.71 | (1428) ~ (all_310_2_746 = 0) | all_310_0_744 = all_0_7_7
% 63.04/24.71 |
% 63.04/24.71 | Instantiating formula (49) with all_0_3_3, all_310_2_746, 0 and discharging atoms ssList(all_0_3_3) = all_310_2_746, ssList(all_0_3_3) = 0, yields:
% 63.04/24.71 | (1422) all_310_2_746 = 0
% 63.04/24.71 |
% 63.04/24.71 | From (1422) and (1421) follows:
% 63.04/24.71 | (124) ssList(all_0_3_3) = 0
% 63.04/24.71 |
% 63.04/24.71 +-Applying beta-rule and splitting (1413), into two cases.
% 63.04/24.71 |-Branch one:
% 63.04/24.71 | (1431) ~ (all_306_2_743 = 0) & ssList(all_0_3_3) = all_306_2_743
% 63.04/24.72 |
% 63.04/24.72 | Applying alpha-rule on (1431) yields:
% 63.04/24.72 | (1432) ~ (all_306_2_743 = 0)
% 63.04/24.72 | (1433) ssList(all_0_3_3) = all_306_2_743
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (49) with all_0_3_3, all_306_2_743, 0 and discharging atoms ssList(all_0_3_3) = all_306_2_743, ssList(all_0_3_3) = 0, yields:
% 63.04/24.72 | (1434) all_306_2_743 = 0
% 63.04/24.72 |
% 63.04/24.72 | Equations (1434) can reduce 1432 to:
% 63.04/24.72 | (274) $false
% 63.04/24.72 |
% 63.04/24.72 |-The branch is then unsatisfiable
% 63.04/24.72 |-Branch two:
% 63.04/24.72 | (1436) ssList(all_0_3_3) = all_306_2_743 & app(all_0_3_3, all_0_3_3) = all_306_1_742 & app(all_0_14_14, all_306_1_742) = all_306_0_741 & ( ~ (all_306_2_743 = 0) | all_306_0_741 = all_0_14_14)
% 63.04/24.72 |
% 63.04/24.72 | Applying alpha-rule on (1436) yields:
% 63.04/24.72 | (1433) ssList(all_0_3_3) = all_306_2_743
% 63.04/24.72 | (1438) app(all_0_3_3, all_0_3_3) = all_306_1_742
% 63.04/24.72 | (1439) app(all_0_14_14, all_306_1_742) = all_306_0_741
% 63.04/24.72 | (1440) ~ (all_306_2_743 = 0) | all_306_0_741 = all_0_14_14
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (49) with all_0_3_3, all_306_2_743, 0 and discharging atoms ssList(all_0_3_3) = all_306_2_743, ssList(all_0_3_3) = 0, yields:
% 63.04/24.72 | (1434) all_306_2_743 = 0
% 63.04/24.72 |
% 63.04/24.72 | From (1434) and (1433) follows:
% 63.04/24.72 | (124) ssList(all_0_3_3) = 0
% 63.04/24.72 |
% 63.04/24.72 +-Applying beta-rule and splitting (155), into two cases.
% 63.04/24.72 |-Branch one:
% 63.04/24.72 | (474) all_0_3_3 = nil
% 63.04/24.72 |
% 63.04/24.72 | From (474) and (124) follows:
% 63.04/24.72 | (104) ssList(nil) = 0
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (26) with all_0_8_8, all_0_6_6 and discharging atoms memberP(all_0_6_6, all_0_8_8) = 0, ssList(all_0_6_6) = 0, yields:
% 63.04/24.72 | (1445) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = all_0_6_6 & v3 = 0 & v1 = 0 & ssList(v2) = 0 & ssList(v0) = 0 & cons(all_0_8_8, v2) = v4 & app(v0, v4) = all_0_6_6) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (115) with all_0_7_7, all_120_0_49, all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, cons(all_120_0_49, all_120_1_50) = all_0_7_7, yields:
% 63.04/24.72 | (487) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_1_50))
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (17) with all_0_7_7, all_120_0_49, all_120_1_50 and discharging atoms ssList(all_120_1_50) = 0, cons(all_120_0_49, all_120_1_50) = all_0_7_7, yields:
% 63.04/24.72 | (488) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_0_49))
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (115) with all_0_14_14, all_0_12_12, nil and discharging atoms ssList(nil) = 0, cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.72 | (490) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (17) with all_0_14_14, all_0_12_12, nil and discharging atoms ssList(nil) = 0, cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.72 | (491) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = all_0_12_12))
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (92) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 63.04/24.72 | (493) ? [v0] : ? [v1] : (duplicatefreeP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 63.04/24.72 |
% 63.04/24.72 | Instantiating (493) with all_388_0_814, all_388_1_815 yields:
% 63.04/24.72 | (1451) duplicatefreeP(all_0_14_14) = all_388_0_814 & ssItem(all_0_12_12) = all_388_1_815 & ( ~ (all_388_1_815 = 0) | all_388_0_814 = 0)
% 63.04/24.72 |
% 63.04/24.72 | Applying alpha-rule on (1451) yields:
% 63.04/24.72 | (1452) duplicatefreeP(all_0_14_14) = all_388_0_814
% 63.04/24.72 | (1453) ssItem(all_0_12_12) = all_388_1_815
% 63.04/24.72 | (1454) ~ (all_388_1_815 = 0) | all_388_0_814 = 0
% 63.04/24.72 |
% 63.04/24.72 | Instantiating (491) with all_390_0_816, all_390_1_817 yields:
% 63.04/24.72 | (1455) hd(all_0_14_14) = all_390_0_816 & ssItem(all_0_12_12) = all_390_1_817 & ( ~ (all_390_1_817 = 0) | all_390_0_816 = all_0_12_12)
% 63.04/24.72 |
% 63.04/24.72 | Applying alpha-rule on (1455) yields:
% 63.04/24.72 | (1456) hd(all_0_14_14) = all_390_0_816
% 63.04/24.72 | (1457) ssItem(all_0_12_12) = all_390_1_817
% 63.04/24.72 | (1458) ~ (all_390_1_817 = 0) | all_390_0_816 = all_0_12_12
% 63.04/24.72 |
% 63.04/24.72 | Instantiating (1445) with all_401_0_832, all_401_1_833, all_401_2_834, all_401_3_835, all_401_4_836, all_401_5_837 yields:
% 63.04/24.72 | (1459) (all_401_0_832 = all_0_6_6 & all_401_2_834 = 0 & all_401_4_836 = 0 & ssList(all_401_3_835) = 0 & ssList(all_401_5_837) = 0 & cons(all_0_8_8, all_401_3_835) = all_401_1_833 & app(all_401_5_837, all_401_1_833) = all_0_6_6) | ( ~ (all_401_5_837 = 0) & ssItem(all_0_8_8) = all_401_5_837)
% 63.04/24.72 |
% 63.04/24.72 | Instantiating (490) with all_404_0_840, all_404_1_841 yields:
% 63.04/24.72 | (1460) tl(all_0_14_14) = all_404_0_840 & ssItem(all_0_12_12) = all_404_1_841 & ( ~ (all_404_1_841 = 0) | all_404_0_840 = nil)
% 63.04/24.72 |
% 63.04/24.72 | Applying alpha-rule on (1460) yields:
% 63.04/24.72 | (1461) tl(all_0_14_14) = all_404_0_840
% 63.04/24.72 | (1462) ssItem(all_0_12_12) = all_404_1_841
% 63.04/24.72 | (1463) ~ (all_404_1_841 = 0) | all_404_0_840 = nil
% 63.04/24.72 |
% 63.04/24.72 | Instantiating (488) with all_408_0_844, all_408_1_845 yields:
% 63.04/24.72 | (1464) hd(all_0_7_7) = all_408_0_844 & ssItem(all_120_0_49) = all_408_1_845 & ( ~ (all_408_1_845 = 0) | all_408_0_844 = all_120_0_49)
% 63.04/24.72 |
% 63.04/24.72 | Applying alpha-rule on (1464) yields:
% 63.04/24.72 | (1465) hd(all_0_7_7) = all_408_0_844
% 63.04/24.72 | (1466) ssItem(all_120_0_49) = all_408_1_845
% 63.04/24.72 | (1467) ~ (all_408_1_845 = 0) | all_408_0_844 = all_120_0_49
% 63.04/24.72 |
% 63.04/24.72 | Instantiating (487) with all_410_0_846, all_410_1_847 yields:
% 63.04/24.72 | (1468) tl(all_0_7_7) = all_410_0_846 & ssItem(all_120_0_49) = all_410_1_847 & ( ~ (all_410_1_847 = 0) | all_410_0_846 = all_120_1_50)
% 63.04/24.72 |
% 63.04/24.72 | Applying alpha-rule on (1468) yields:
% 63.04/24.72 | (1469) tl(all_0_7_7) = all_410_0_846
% 63.04/24.72 | (1470) ssItem(all_120_0_49) = all_410_1_847
% 63.04/24.72 | (1471) ~ (all_410_1_847 = 0) | all_410_0_846 = all_120_1_50
% 63.04/24.72 |
% 63.04/24.72 +-Applying beta-rule and splitting (1459), into two cases.
% 63.04/24.72 |-Branch one:
% 63.04/24.72 | (1472) all_401_0_832 = all_0_6_6 & all_401_2_834 = 0 & all_401_4_836 = 0 & ssList(all_401_3_835) = 0 & ssList(all_401_5_837) = 0 & cons(all_0_8_8, all_401_3_835) = all_401_1_833 & app(all_401_5_837, all_401_1_833) = all_0_6_6
% 63.04/24.72 |
% 63.04/24.72 | Applying alpha-rule on (1472) yields:
% 63.04/24.72 | (1473) ssList(all_401_3_835) = 0
% 63.04/24.72 | (1474) cons(all_0_8_8, all_401_3_835) = all_401_1_833
% 63.04/24.72 | (1475) ssList(all_401_5_837) = 0
% 63.04/24.72 | (1476) app(all_401_5_837, all_401_1_833) = all_0_6_6
% 63.04/24.72 | (1477) all_401_0_832 = all_0_6_6
% 63.04/24.72 | (1478) all_401_2_834 = 0
% 63.04/24.72 | (1479) all_401_4_836 = 0
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (24) with all_0_7_7, all_410_0_846, nil and discharging atoms tl(all_0_7_7) = all_410_0_846, tl(all_0_7_7) = nil, yields:
% 63.04/24.72 | (1480) all_410_0_846 = nil
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (94) with all_0_7_7, all_408_0_844, all_0_8_8 and discharging atoms hd(all_0_7_7) = all_408_0_844, hd(all_0_7_7) = all_0_8_8, yields:
% 63.04/24.72 | (1481) all_408_0_844 = all_0_8_8
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (89) with all_120_0_49, all_410_1_847, 0 and discharging atoms ssItem(all_120_0_49) = all_410_1_847, ssItem(all_120_0_49) = 0, yields:
% 63.04/24.72 | (1482) all_410_1_847 = 0
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (89) with all_120_0_49, all_408_1_845, all_410_1_847 and discharging atoms ssItem(all_120_0_49) = all_410_1_847, ssItem(all_120_0_49) = all_408_1_845, yields:
% 63.04/24.72 | (1483) all_410_1_847 = all_408_1_845
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (89) with all_0_12_12, all_404_1_841, 0 and discharging atoms ssItem(all_0_12_12) = all_404_1_841, ssItem(all_0_12_12) = 0, yields:
% 63.04/24.72 | (1484) all_404_1_841 = 0
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (89) with all_0_12_12, all_390_1_817, all_404_1_841 and discharging atoms ssItem(all_0_12_12) = all_404_1_841, ssItem(all_0_12_12) = all_390_1_817, yields:
% 63.04/24.72 | (1485) all_404_1_841 = all_390_1_817
% 63.04/24.72 |
% 63.04/24.72 | Instantiating formula (89) with all_0_12_12, all_388_1_815, all_404_1_841 and discharging atoms ssItem(all_0_12_12) = all_404_1_841, ssItem(all_0_12_12) = all_388_1_815, yields:
% 63.04/24.72 | (1486) all_404_1_841 = all_388_1_815
% 63.04/24.72 |
% 63.04/24.72 | Combining equations (1482,1483) yields a new equation:
% 63.04/24.72 | (1487) all_408_1_845 = 0
% 63.04/24.72 |
% 63.04/24.72 | Combining equations (1486,1485) yields a new equation:
% 63.04/24.72 | (1488) all_390_1_817 = all_388_1_815
% 63.04/24.72 |
% 63.04/24.72 | Combining equations (1484,1485) yields a new equation:
% 63.04/24.72 | (1489) all_390_1_817 = 0
% 63.04/24.72 |
% 63.04/24.72 | Combining equations (1488,1489) yields a new equation:
% 63.04/24.72 | (1490) all_388_1_815 = 0
% 63.04/24.72 |
% 63.04/24.72 | Simplifying 1490 yields:
% 63.04/24.72 | (1491) all_388_1_815 = 0
% 63.04/24.72 |
% 63.04/24.72 | Combining equations (1487,1483) yields a new equation:
% 63.04/24.72 | (1482) all_410_1_847 = 0
% 63.04/24.72 |
% 63.04/24.72 | From (1487) and (1466) follows:
% 63.04/24.72 | (358) ssItem(all_120_0_49) = 0
% 63.04/24.72 |
% 63.04/24.72 +-Applying beta-rule and splitting (1467), into two cases.
% 63.04/24.72 |-Branch one:
% 63.04/24.72 | (1494) ~ (all_408_1_845 = 0)
% 63.04/24.72 |
% 63.04/24.72 | Equations (1487) can reduce 1494 to:
% 63.04/24.72 | (274) $false
% 63.04/24.72 |
% 63.04/24.72 |-The branch is then unsatisfiable
% 63.04/24.72 |-Branch two:
% 63.04/24.72 | (1487) all_408_1_845 = 0
% 63.04/24.72 | (1497) all_408_0_844 = all_120_0_49
% 63.04/24.72 |
% 63.04/24.72 | Combining equations (1481,1497) yields a new equation:
% 63.04/24.72 | (629) all_120_0_49 = all_0_8_8
% 63.04/24.72 |
% 63.04/24.72 | From (629) and (357) follows:
% 63.04/24.72 | (1499) cons(all_0_8_8, all_120_1_50) = all_0_7_7
% 63.04/24.72 |
% 63.04/24.72 | From (629) and (358) follows:
% 63.04/24.73 | (112) ssItem(all_0_8_8) = 0
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (1454), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (1501) ~ (all_388_1_815 = 0)
% 63.04/24.73 |
% 63.04/24.73 | Equations (1491) can reduce 1501 to:
% 63.04/24.73 | (274) $false
% 63.04/24.73 |
% 63.04/24.73 |-The branch is then unsatisfiable
% 63.04/24.73 |-Branch two:
% 63.04/24.73 | (1491) all_388_1_815 = 0
% 63.04/24.73 | (1504) all_388_0_814 = 0
% 63.04/24.73 |
% 63.04/24.73 | From (1504) and (1452) follows:
% 63.04/24.73 | (613) duplicatefreeP(all_0_14_14) = 0
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (1471), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (1506) ~ (all_410_1_847 = 0)
% 63.04/24.73 |
% 63.04/24.73 | Equations (1482) can reduce 1506 to:
% 63.04/24.73 | (274) $false
% 63.04/24.73 |
% 63.04/24.73 |-The branch is then unsatisfiable
% 63.04/24.73 |-Branch two:
% 63.04/24.73 | (1482) all_410_1_847 = 0
% 63.04/24.73 | (1509) all_410_0_846 = all_120_1_50
% 63.04/24.73 |
% 63.04/24.73 | Combining equations (1480,1509) yields a new equation:
% 63.04/24.73 | (614) all_120_1_50 = nil
% 63.04/24.73 |
% 63.04/24.73 | From (614) and (356) follows:
% 63.04/24.73 | (104) ssList(nil) = 0
% 63.04/24.73 |
% 63.04/24.73 | From (614) and (1499) follows:
% 63.04/24.73 | (86) cons(all_0_8_8, nil) = all_0_7_7
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (225), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (704) ~ (ssList(all_0_14_14) = all_9_0_19)
% 63.04/24.73 |
% 63.04/24.73 | From (288) and (704) follows:
% 63.04/24.73 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.04/24.73 |
% 63.04/24.73 | Using (88) and (673) yields:
% 63.04/24.73 | (617) $false
% 63.04/24.73 |
% 63.04/24.73 |-The branch is then unsatisfiable
% 63.04/24.73 |-Branch two:
% 63.04/24.73 | (707) ssList(all_0_14_14) = all_9_0_19
% 63.04/24.73 | (288) all_9_0_19 = 0
% 63.04/24.73 |
% 63.04/24.73 | From (288) and (707) follows:
% 63.04/24.73 | (88) ssList(all_0_14_14) = 0
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (232), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.04/24.73 |
% 63.04/24.73 | Using (284) and (691) yields:
% 63.04/24.73 | (617) $false
% 63.04/24.73 |
% 63.04/24.73 |-The branch is then unsatisfiable
% 63.04/24.73 |-Branch two:
% 63.04/24.73 | (284) ssList(all_0_7_7) = 0
% 63.04/24.73 | (283) all_9_1_20 = 0
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (227), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.04/24.73 |
% 63.04/24.73 | Using (284) and (691) yields:
% 63.04/24.73 | (617) $false
% 63.04/24.73 |
% 63.04/24.73 |-The branch is then unsatisfiable
% 63.04/24.73 |-Branch two:
% 63.04/24.73 | (284) ssList(all_0_7_7) = 0
% 63.04/24.73 | (281) all_21_0_31 = 0
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (234), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (710) ~ (ssList(all_0_14_14) = all_9_1_20)
% 63.04/24.73 |
% 63.04/24.73 | From (283) and (710) follows:
% 63.04/24.73 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.04/24.73 |
% 63.04/24.73 | Using (88) and (673) yields:
% 63.04/24.73 | (617) $false
% 63.04/24.73 |
% 63.04/24.73 |-The branch is then unsatisfiable
% 63.04/24.73 |-Branch two:
% 63.04/24.73 | (713) ssList(all_0_14_14) = all_9_1_20
% 63.04/24.73 | (283) all_9_1_20 = 0
% 63.04/24.73 |
% 63.04/24.73 | From (283) and (713) follows:
% 63.04/24.73 | (88) ssList(all_0_14_14) = 0
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (229), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (672) ~ (ssList(all_0_14_14) = all_21_0_31)
% 63.04/24.73 |
% 63.04/24.73 | From (281) and (672) follows:
% 63.04/24.73 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.04/24.73 |
% 63.04/24.73 | Using (88) and (673) yields:
% 63.04/24.73 | (617) $false
% 63.04/24.73 |
% 63.04/24.73 |-The branch is then unsatisfiable
% 63.04/24.73 |-Branch two:
% 63.04/24.73 | (675) ssList(all_0_14_14) = all_21_0_31
% 63.04/24.73 | (281) all_21_0_31 = 0
% 63.04/24.73 |
% 63.04/24.73 | From (281) and (675) follows:
% 63.04/24.73 | (88) ssList(all_0_14_14) = 0
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (233), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (660) ~ (ssList(all_0_13_13) = all_9_1_20)
% 63.04/24.73 |
% 63.04/24.73 | From (283) and (660) follows:
% 63.04/24.73 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.04/24.73 |
% 63.04/24.73 | Using (72) and (661) yields:
% 63.04/24.73 | (617) $false
% 63.04/24.73 |
% 63.04/24.73 |-The branch is then unsatisfiable
% 63.04/24.73 |-Branch two:
% 63.04/24.73 | (663) ssList(all_0_13_13) = all_9_1_20
% 63.04/24.73 | (283) all_9_1_20 = 0
% 63.04/24.73 |
% 63.04/24.73 | From (283) and (663) follows:
% 63.04/24.73 | (72) ssList(all_0_13_13) = 0
% 63.04/24.73 |
% 63.04/24.73 +-Applying beta-rule and splitting (222), into two cases.
% 63.04/24.73 |-Branch one:
% 63.04/24.73 | (716) ~ (ssList(all_0_5_5) = 0)
% 63.04/24.73 |
% 63.04/24.73 | From (1084) and (716) follows:
% 63.44/24.73 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (88) and (673) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (289) ssList(all_0_5_5) = 0
% 63.44/24.73 | (288) all_9_0_19 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (1084) and (289) follows:
% 63.44/24.73 | (88) ssList(all_0_14_14) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (228), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (678) ~ (ssList(all_0_13_13) = all_21_0_31)
% 63.44/24.73 |
% 63.44/24.73 | From (281) and (678) follows:
% 63.44/24.73 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (72) and (661) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (681) ssList(all_0_13_13) = all_21_0_31
% 63.44/24.73 | (281) all_21_0_31 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (281) and (681) follows:
% 63.44/24.73 | (72) ssList(all_0_13_13) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (235), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (720) ~ (ssList(nil) = all_9_1_20)
% 63.44/24.73 |
% 63.44/24.73 | From (283) and (720) follows:
% 63.44/24.73 | (667) ~ (ssList(nil) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (104) and (667) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (723) ssList(nil) = all_9_1_20
% 63.44/24.73 | (283) all_9_1_20 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (283) and (723) follows:
% 63.44/24.73 | (104) ssList(nil) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (231), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (690) ~ (ssList(all_0_7_7) = all_9_0_19)
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (690) follows:
% 63.44/24.73 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (284) and (691) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (693) ssList(all_0_7_7) = all_9_0_19
% 63.44/24.73 | (744) all_21_0_31 = all_9_0_19
% 63.44/24.73 |
% 63.44/24.73 | Combining equations (744,281) yields a new equation:
% 63.44/24.73 | (1568) all_9_0_19 = 0
% 63.44/24.73 |
% 63.44/24.73 | Simplifying 1568 yields:
% 63.44/24.73 | (288) all_9_0_19 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (693) follows:
% 63.44/24.73 | (284) ssList(all_0_7_7) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (230), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (698) ~ (ssList(nil) = all_21_0_31)
% 63.44/24.73 |
% 63.44/24.73 | From (281) and (698) follows:
% 63.44/24.73 | (667) ~ (ssList(nil) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (104) and (667) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (701) ssList(nil) = all_21_0_31
% 63.44/24.73 | (281) all_21_0_31 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (281) and (701) follows:
% 63.44/24.73 | (104) ssList(nil) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (226), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (666) ~ (ssList(nil) = all_9_0_19)
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (666) follows:
% 63.44/24.73 | (667) ~ (ssList(nil) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (104) and (667) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (669) ssList(nil) = all_9_0_19
% 63.44/24.73 | (288) all_9_0_19 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (669) follows:
% 63.44/24.73 | (104) ssList(nil) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (223), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (684) ~ (ssList(all_0_6_6) = all_9_0_19)
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (684) follows:
% 63.44/24.73 | (685) ~ (ssList(all_0_6_6) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (78) and (685) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (687) ssList(all_0_6_6) = all_9_0_19
% 63.44/24.73 | (288) all_9_0_19 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (687) follows:
% 63.44/24.73 | (78) ssList(all_0_6_6) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (224), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (730) ~ (ssList(all_0_13_13) = all_9_0_19)
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (730) follows:
% 63.44/24.73 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (72) and (661) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (733) ssList(all_0_13_13) = all_9_0_19
% 63.44/24.73 | (288) all_9_0_19 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (733) follows:
% 63.44/24.73 | (72) ssList(all_0_13_13) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (236), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (690) ~ (ssList(all_0_7_7) = all_9_0_19)
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (690) follows:
% 63.44/24.73 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (284) and (691) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (693) ssList(all_0_7_7) = all_9_0_19
% 63.44/24.73 | (694) all_9_0_19 = all_9_1_20
% 63.44/24.73 |
% 63.44/24.73 | From (288) and (693) follows:
% 63.44/24.73 | (284) ssList(all_0_7_7) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (309), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (759) ~ (ssList(all_0_14_14) = all_8_2_18)
% 63.44/24.73 |
% 63.44/24.73 | From (294) and (759) follows:
% 63.44/24.73 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.73 |
% 63.44/24.73 | Using (88) and (673) yields:
% 63.44/24.73 | (617) $false
% 63.44/24.73 |
% 63.44/24.73 |-The branch is then unsatisfiable
% 63.44/24.73 |-Branch two:
% 63.44/24.73 | (762) ssList(all_0_14_14) = all_8_2_18
% 63.44/24.73 | (294) all_8_2_18 = 0
% 63.44/24.73 |
% 63.44/24.73 | From (294) and (762) follows:
% 63.44/24.73 | (88) ssList(all_0_14_14) = 0
% 63.44/24.73 |
% 63.44/24.73 +-Applying beta-rule and splitting (307), into two cases.
% 63.44/24.73 |-Branch one:
% 63.44/24.73 | (777) ~ (ssList(all_0_6_6) = all_8_2_18)
% 63.44/24.73 |
% 63.44/24.73 | From (294) and (777) follows:
% 63.44/24.74 | (685) ~ (ssList(all_0_6_6) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (78) and (685) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (780) ssList(all_0_6_6) = all_8_2_18
% 63.44/24.74 | (294) all_8_2_18 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (294) and (780) follows:
% 63.44/24.74 | (78) ssList(all_0_6_6) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (308), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (753) ~ (ssList(all_0_13_13) = all_8_2_18)
% 63.44/24.74 |
% 63.44/24.74 | From (294) and (753) follows:
% 63.44/24.74 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (72) and (661) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (756) ssList(all_0_13_13) = all_8_2_18
% 63.44/24.74 | (294) all_8_2_18 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (294) and (756) follows:
% 63.44/24.74 | (72) ssList(all_0_13_13) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (312), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (765) ~ (ssList(all_0_7_7) = all_8_2_18)
% 63.44/24.74 |
% 63.44/24.74 | From (294) and (765) follows:
% 63.44/24.74 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (284) and (691) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (293) ssList(all_0_7_7) = all_8_2_18
% 63.44/24.74 | (294) all_8_2_18 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (294) and (293) follows:
% 63.44/24.74 | (284) ssList(all_0_7_7) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (310), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (771) ~ (ssList(nil) = all_8_2_18)
% 63.44/24.74 |
% 63.44/24.74 | From (294) and (771) follows:
% 63.44/24.74 | (667) ~ (ssList(nil) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (104) and (667) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (774) ssList(nil) = all_8_2_18
% 63.44/24.74 | (294) all_8_2_18 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (294) and (774) follows:
% 63.44/24.74 | (104) ssList(nil) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (311), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (747) ~ (ssList(all_0_5_5) = all_8_2_18)
% 63.44/24.74 |
% 63.44/24.74 | From (1084)(294) and (747) follows:
% 63.44/24.74 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (88) and (673) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (750) ssList(all_0_5_5) = all_8_2_18
% 63.44/24.74 | (294) all_8_2_18 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (1084)(294) and (750) follows:
% 63.44/24.74 | (88) ssList(all_0_14_14) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (313), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (1637) ~ (app(all_0_6_6, all_0_7_7) = all_8_0_16)
% 63.44/24.74 |
% 63.44/24.74 | From (320) and (1637) follows:
% 63.44/24.74 | (1087) ~ (app(all_0_6_6, all_0_7_7) = all_0_14_14)
% 63.44/24.74 |
% 63.44/24.74 | Using (1086) and (1087) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (1640) app(all_0_6_6, all_0_7_7) = all_8_0_16
% 63.44/24.74 | (1641) all_8_0_16 = all_0_5_5
% 63.44/24.74 |
% 63.44/24.74 | Combining equations (1641,320) yields a new equation:
% 63.44/24.74 | (1642) all_0_5_5 = all_0_14_14
% 63.44/24.74 |
% 63.44/24.74 | Simplifying 1642 yields:
% 63.44/24.74 | (1084) all_0_5_5 = all_0_14_14
% 63.44/24.74 |
% 63.44/24.74 | From (320) and (1640) follows:
% 63.44/24.74 | (1086) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (380), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (923) ~ (ssList(all_0_7_7) = all_108_0_41)
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (923) follows:
% 63.44/24.74 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (284) and (691) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (926) ssList(all_0_7_7) = all_108_0_41
% 63.44/24.74 | (427) all_108_0_41 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (926) follows:
% 63.44/24.74 | (284) ssList(all_0_7_7) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (404), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (823) ~ (ssList(all_0_14_14) = all_108_0_41)
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (823) follows:
% 63.44/24.74 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (88) and (673) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (826) ssList(all_0_14_14) = all_108_0_41
% 63.44/24.74 | (996) all_112_0_45 = all_108_0_41
% 63.44/24.74 |
% 63.44/24.74 | Combining equations (401,996) yields a new equation:
% 63.44/24.74 | (427) all_108_0_41 = 0
% 63.44/24.74 |
% 63.44/24.74 | Combining equations (427,996) yields a new equation:
% 63.44/24.74 | (401) all_112_0_45 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (826) follows:
% 63.44/24.74 | (88) ssList(all_0_14_14) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (394), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (815) ~ (ssList(all_0_3_3) = all_108_0_41)
% 63.44/24.74 |
% 63.44/24.74 | From (474)(427) and (815) follows:
% 63.44/24.74 | (667) ~ (ssList(nil) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (104) and (667) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (818) ssList(all_0_3_3) = all_108_0_41
% 63.44/24.74 | (819) all_108_0_41 = all_108_1_42
% 63.44/24.74 |
% 63.44/24.74 | Combining equations (427,819) yields a new equation:
% 63.44/24.74 | (386) all_108_1_42 = 0
% 63.44/24.74 |
% 63.44/24.74 | Combining equations (386,819) yields a new equation:
% 63.44/24.74 | (427) all_108_0_41 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (474)(427) and (818) follows:
% 63.44/24.74 | (104) ssList(nil) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (371), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (783) ~ (ssList(all_0_6_6) = all_112_1_46)
% 63.44/24.74 |
% 63.44/24.74 | From (428) and (783) follows:
% 63.44/24.74 | (685) ~ (ssList(all_0_6_6) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (78) and (685) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (786) ssList(all_0_6_6) = all_112_1_46
% 63.44/24.74 | (428) all_112_1_46 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (428) and (786) follows:
% 63.44/24.74 | (78) ssList(all_0_6_6) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (391), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (801) ~ (ssList(all_0_14_14) = all_108_1_42)
% 63.44/24.74 |
% 63.44/24.74 | From (386) and (801) follows:
% 63.44/24.74 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (88) and (673) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (804) ssList(all_0_14_14) = all_108_1_42
% 63.44/24.74 | (386) all_108_1_42 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (386) and (804) follows:
% 63.44/24.74 | (88) ssList(all_0_14_14) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (383), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (942) ~ (ssList(nil) = all_108_0_41)
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (942) follows:
% 63.44/24.74 | (667) ~ (ssList(nil) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (104) and (667) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (945) ssList(nil) = all_108_0_41
% 63.44/24.74 | (427) all_108_0_41 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (945) follows:
% 63.44/24.74 | (104) ssList(nil) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (390), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (911) ~ (ssList(all_0_13_13) = all_108_1_42)
% 63.44/24.74 |
% 63.44/24.74 | From (386) and (911) follows:
% 63.44/24.74 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (72) and (661) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (914) ssList(all_0_13_13) = all_108_1_42
% 63.44/24.74 | (386) all_108_1_42 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (386) and (914) follows:
% 63.44/24.74 | (72) ssList(all_0_13_13) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (389), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (897) ~ (ssList(all_0_7_7) = all_108_1_42)
% 63.44/24.74 |
% 63.44/24.74 | From (386) and (897) follows:
% 63.44/24.74 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (284) and (691) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (900) ssList(all_0_7_7) = all_108_1_42
% 63.44/24.74 | (386) all_108_1_42 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (386) and (900) follows:
% 63.44/24.74 | (284) ssList(all_0_7_7) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (397), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (809) ~ (ssList(all_0_14_14) = all_114_1_48)
% 63.44/24.74 |
% 63.44/24.74 | From (395) and (809) follows:
% 63.44/24.74 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (88) and (673) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (812) ssList(all_0_14_14) = all_114_1_48
% 63.44/24.74 | (395) all_114_1_48 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (395) and (812) follows:
% 63.44/24.74 | (88) ssList(all_0_14_14) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (379), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (865) ~ (ssList(all_0_6_6) = all_108_0_41)
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (865) follows:
% 63.44/24.74 | (685) ~ (ssList(all_0_6_6) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (78) and (685) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (868) ssList(all_0_6_6) = all_108_0_41
% 63.44/24.74 | (427) all_108_0_41 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (868) follows:
% 63.44/24.74 | (78) ssList(all_0_6_6) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (382), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (823) ~ (ssList(all_0_14_14) = all_108_0_41)
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (823) follows:
% 63.44/24.74 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (88) and (673) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (826) ssList(all_0_14_14) = all_108_0_41
% 63.44/24.74 | (427) all_108_0_41 = 0
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (826) follows:
% 63.44/24.74 | (88) ssList(all_0_14_14) = 0
% 63.44/24.74 |
% 63.44/24.74 +-Applying beta-rule and splitting (381), into two cases.
% 63.44/24.74 |-Branch one:
% 63.44/24.74 | (966) ~ (ssList(all_0_13_13) = all_108_0_41)
% 63.44/24.74 |
% 63.44/24.74 | From (427) and (966) follows:
% 63.44/24.74 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.44/24.74 |
% 63.44/24.74 | Using (72) and (661) yields:
% 63.44/24.74 | (617) $false
% 63.44/24.74 |
% 63.44/24.74 |-The branch is then unsatisfiable
% 63.44/24.74 |-Branch two:
% 63.44/24.74 | (969) ssList(all_0_13_13) = all_108_0_41
% 63.44/24.74 | (427) all_108_0_41 = 0
% 63.44/24.74 |
% 63.44/24.75 | From (427) and (969) follows:
% 63.44/24.75 | (72) ssList(all_0_13_13) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (405), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (801) ~ (ssList(all_0_14_14) = all_108_1_42)
% 63.44/24.75 |
% 63.44/24.75 | From (386) and (801) follows:
% 63.44/24.75 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (88) and (673) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (804) ssList(all_0_14_14) = all_108_1_42
% 63.44/24.75 | (805) all_112_0_45 = all_108_1_42
% 63.44/24.75 |
% 63.44/24.75 | Combining equations (401,805) yields a new equation:
% 63.44/24.75 | (386) all_108_1_42 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (386) and (804) follows:
% 63.44/24.75 | (88) ssList(all_0_14_14) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (407), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (1728) ~ (cons(all_0_8_8, nil) = all_110_0_43)
% 63.44/24.75 |
% 63.44/24.75 | From (1403) and (1728) follows:
% 63.44/24.75 | (1729) ~ (cons(all_0_8_8, nil) = all_0_7_7)
% 63.44/24.75 |
% 63.44/24.75 | Using (86) and (1729) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (1731) cons(all_0_8_8, nil) = all_110_0_43
% 63.44/24.75 | (1403) all_110_0_43 = all_0_7_7
% 63.44/24.75 |
% 63.44/24.75 | From (1403) and (1731) follows:
% 63.44/24.75 | (86) cons(all_0_8_8, nil) = all_0_7_7
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (400), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (897) ~ (ssList(all_0_7_7) = all_108_1_42)
% 63.44/24.75 |
% 63.44/24.75 | From (386) and (897) follows:
% 63.44/24.75 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (284) and (691) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (900) ssList(all_0_7_7) = all_108_1_42
% 63.44/24.75 | (901) all_114_1_48 = all_108_1_42
% 63.44/24.75 |
% 63.44/24.75 | Combining equations (901,395) yields a new equation:
% 63.44/24.75 | (820) all_108_1_42 = 0
% 63.44/24.75 |
% 63.44/24.75 | Simplifying 820 yields:
% 63.44/24.75 | (386) all_108_1_42 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (386) and (900) follows:
% 63.44/24.75 | (284) ssList(all_0_7_7) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (376), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (789) ~ (ssList(all_8_1_17) = 0)
% 63.44/24.75 |
% 63.44/24.75 | From (1111) and (789) follows:
% 63.44/24.75 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (284) and (691) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (429) ssList(all_8_1_17) = 0
% 63.44/24.75 | (428) all_112_1_46 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (1111) and (429) follows:
% 63.44/24.75 | (284) ssList(all_0_7_7) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (374), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (829) ~ (ssList(all_0_14_14) = all_112_1_46)
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (829) follows:
% 63.44/24.75 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (88) and (673) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (832) ssList(all_0_14_14) = all_112_1_46
% 63.44/24.75 | (428) all_112_1_46 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (832) follows:
% 63.44/24.75 | (88) ssList(all_0_14_14) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (372), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (793) ~ (ssList(all_0_7_7) = all_112_1_46)
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (793) follows:
% 63.44/24.75 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (284) and (691) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (796) ssList(all_0_7_7) = all_112_1_46
% 63.44/24.75 | (428) all_112_1_46 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (796) follows:
% 63.44/24.75 | (284) ssList(all_0_7_7) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (392), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (877) ~ (ssList(nil) = all_108_1_42)
% 63.44/24.75 |
% 63.44/24.75 | From (386) and (877) follows:
% 63.44/24.75 | (667) ~ (ssList(nil) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (104) and (667) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (880) ssList(nil) = all_108_1_42
% 63.44/24.75 | (386) all_108_1_42 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (386) and (880) follows:
% 63.44/24.75 | (104) ssList(nil) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (369), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (889) ~ (ssList(all_0_3_3) = all_112_1_46)
% 63.44/24.75 |
% 63.44/24.75 | From (474)(428) and (889) follows:
% 63.44/24.75 | (667) ~ (ssList(nil) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (104) and (667) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (892) ssList(all_0_3_3) = all_112_1_46
% 63.44/24.75 | (428) all_112_1_46 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (474)(428) and (892) follows:
% 63.44/24.75 | (104) ssList(nil) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (399), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (923) ~ (ssList(all_0_7_7) = all_108_0_41)
% 63.44/24.75 |
% 63.44/24.75 | From (427) and (923) follows:
% 63.44/24.75 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (284) and (691) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (926) ssList(all_0_7_7) = all_108_0_41
% 63.44/24.75 | (927) all_114_1_48 = all_108_0_41
% 63.44/24.75 |
% 63.44/24.75 | Combining equations (927,395) yields a new equation:
% 63.44/24.75 | (1777) all_108_0_41 = 0
% 63.44/24.75 |
% 63.44/24.75 | Simplifying 1777 yields:
% 63.44/24.75 | (427) all_108_0_41 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (427) and (926) follows:
% 63.44/24.75 | (284) ssList(all_0_7_7) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (406), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (809) ~ (ssList(all_0_14_14) = all_114_1_48)
% 63.44/24.75 |
% 63.44/24.75 | From (395) and (809) follows:
% 63.44/24.75 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (88) and (673) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (812) ssList(all_0_14_14) = all_114_1_48
% 63.44/24.75 | (988) all_114_1_48 = all_112_0_45
% 63.44/24.75 |
% 63.44/24.75 | Combining equations (988,395) yields a new equation:
% 63.44/24.75 | (1785) all_112_0_45 = 0
% 63.44/24.75 |
% 63.44/24.75 | Simplifying 1785 yields:
% 63.44/24.75 | (401) all_112_0_45 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (395) and (812) follows:
% 63.44/24.75 | (88) ssList(all_0_14_14) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (378), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (948) ~ (ssList(all_0_5_5) = all_108_0_41)
% 63.44/24.75 |
% 63.44/24.75 | From (1084)(427) and (948) follows:
% 63.44/24.75 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (88) and (673) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (951) ssList(all_0_5_5) = all_108_0_41
% 63.44/24.75 | (427) all_108_0_41 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (1084)(427) and (951) follows:
% 63.44/24.75 | (88) ssList(all_0_14_14) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (373), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (859) ~ (ssList(all_0_13_13) = all_112_1_46)
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (859) follows:
% 63.44/24.75 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (72) and (661) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (862) ssList(all_0_13_13) = all_112_1_46
% 63.44/24.75 | (428) all_112_1_46 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (862) follows:
% 63.44/24.75 | (72) ssList(all_0_13_13) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (375), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (841) ~ (ssList(nil) = all_112_1_46)
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (841) follows:
% 63.44/24.75 | (667) ~ (ssList(nil) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (104) and (667) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (844) ssList(nil) = all_112_1_46
% 63.44/24.75 | (428) all_112_1_46 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (844) follows:
% 63.44/24.75 | (104) ssList(nil) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (393), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (889) ~ (ssList(all_0_3_3) = all_112_1_46)
% 63.44/24.75 |
% 63.44/24.75 | From (474)(428) and (889) follows:
% 63.44/24.75 | (667) ~ (ssList(nil) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (104) and (667) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (892) ssList(all_0_3_3) = all_112_1_46
% 63.44/24.75 | (893) all_112_1_46 = all_108_1_42
% 63.44/24.75 |
% 63.44/24.75 | Combining equations (428,893) yields a new equation:
% 63.44/24.75 | (386) all_108_1_42 = 0
% 63.44/24.75 |
% 63.44/24.75 | Combining equations (386,893) yields a new equation:
% 63.44/24.75 | (428) all_112_1_46 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (474)(428) and (892) follows:
% 63.44/24.75 | (104) ssList(nil) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (403), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (829) ~ (ssList(all_0_14_14) = all_112_1_46)
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (829) follows:
% 63.44/24.75 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (88) and (673) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (832) ssList(all_0_14_14) = all_112_1_46
% 63.44/24.75 | (833) all_112_0_45 = all_112_1_46
% 63.44/24.75 |
% 63.44/24.75 | Combining equations (401,833) yields a new equation:
% 63.44/24.75 | (428) all_112_1_46 = 0
% 63.44/24.75 |
% 63.44/24.75 | Combining equations (428,833) yields a new equation:
% 63.44/24.75 | (401) all_112_0_45 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (428) and (832) follows:
% 63.44/24.75 | (88) ssList(all_0_14_14) = 0
% 63.44/24.75 |
% 63.44/24.75 +-Applying beta-rule and splitting (384), into two cases.
% 63.44/24.75 |-Branch one:
% 63.44/24.75 | (789) ~ (ssList(all_8_1_17) = 0)
% 63.44/24.75 |
% 63.44/24.75 | From (1111) and (789) follows:
% 63.44/24.75 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.75 |
% 63.44/24.75 | Using (284) and (691) yields:
% 63.44/24.75 | (617) $false
% 63.44/24.75 |
% 63.44/24.75 |-The branch is then unsatisfiable
% 63.44/24.75 |-Branch two:
% 63.44/24.75 | (429) ssList(all_8_1_17) = 0
% 63.44/24.75 | (427) all_108_0_41 = 0
% 63.44/24.75 |
% 63.44/24.75 | From (1111) and (429) follows:
% 63.44/24.76 | (284) ssList(all_0_7_7) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (370), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (847) ~ (ssList(all_0_5_5) = all_112_1_46)
% 63.44/24.76 |
% 63.44/24.76 | From (1084)(428) and (847) follows:
% 63.44/24.76 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (88) and (673) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (850) ssList(all_0_5_5) = all_112_1_46
% 63.44/24.76 | (428) all_112_1_46 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (1084)(428) and (850) follows:
% 63.44/24.76 | (88) ssList(all_0_14_14) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (398), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (793) ~ (ssList(all_0_7_7) = all_112_1_46)
% 63.44/24.76 |
% 63.44/24.76 | From (428) and (793) follows:
% 63.44/24.76 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (284) and (691) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (796) ssList(all_0_7_7) = all_112_1_46
% 63.44/24.76 | (797) all_114_1_48 = all_112_1_46
% 63.44/24.76 |
% 63.44/24.76 | Combining equations (395,797) yields a new equation:
% 63.44/24.76 | (428) all_112_1_46 = 0
% 63.44/24.76 |
% 63.44/24.76 | Combining equations (428,797) yields a new equation:
% 63.44/24.76 | (395) all_114_1_48 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (428) and (796) follows:
% 63.44/24.76 | (284) ssList(all_0_7_7) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (388), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (960) ~ (ssList(all_0_6_6) = all_108_1_42)
% 63.44/24.76 |
% 63.44/24.76 | From (386) and (960) follows:
% 63.44/24.76 | (685) ~ (ssList(all_0_6_6) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (78) and (685) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (963) ssList(all_0_6_6) = all_108_1_42
% 63.44/24.76 | (386) all_108_1_42 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (386) and (963) follows:
% 63.44/24.76 | (78) ssList(all_0_6_6) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (377), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (815) ~ (ssList(all_0_3_3) = all_108_0_41)
% 63.44/24.76 |
% 63.44/24.76 | From (474)(427) and (815) follows:
% 63.44/24.76 | (667) ~ (ssList(nil) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (104) and (667) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (818) ssList(all_0_3_3) = all_108_0_41
% 63.44/24.76 | (427) all_108_0_41 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (474)(427) and (818) follows:
% 63.44/24.76 | (104) ssList(nil) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (402), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (853) ~ (ssList(nil) = all_112_0_45)
% 63.44/24.76 |
% 63.44/24.76 | From (401) and (853) follows:
% 63.44/24.76 | (667) ~ (ssList(nil) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (104) and (667) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (856) ssList(nil) = all_112_0_45
% 63.44/24.76 | (401) all_112_0_45 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (401) and (856) follows:
% 63.44/24.76 | (104) ssList(nil) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (396), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (936) ~ (ssList(all_0_13_13) = all_114_1_48)
% 63.44/24.76 |
% 63.44/24.76 | From (395) and (936) follows:
% 63.44/24.76 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (72) and (661) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (939) ssList(all_0_13_13) = all_114_1_48
% 63.44/24.76 | (395) all_114_1_48 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (395) and (939) follows:
% 63.44/24.76 | (72) ssList(all_0_13_13) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (387), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (905) ~ (ssList(all_0_5_5) = all_108_1_42)
% 63.44/24.76 |
% 63.44/24.76 | From (1084)(386) and (905) follows:
% 63.44/24.76 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (88) and (673) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (908) ssList(all_0_5_5) = all_108_1_42
% 63.44/24.76 | (386) all_108_1_42 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (1084)(386) and (908) follows:
% 63.44/24.76 | (88) ssList(all_0_14_14) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (442), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (1005) ~ (ssList(all_0_7_7) = all_130_1_54)
% 63.44/24.76 |
% 63.44/24.76 | From (418) and (1005) follows:
% 63.44/24.76 | (691) ~ (ssList(all_0_7_7) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (284) and (691) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (417) ssList(all_0_7_7) = all_130_1_54
% 63.44/24.76 | (418) all_130_1_54 = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (441), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (999) ~ (ssList(all_0_6_6) = all_130_1_54)
% 63.44/24.76 |
% 63.44/24.76 | From (418) and (999) follows:
% 63.44/24.76 | (685) ~ (ssList(all_0_6_6) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (78) and (685) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (1002) ssList(all_0_6_6) = all_130_1_54
% 63.44/24.76 | (418) all_130_1_54 = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (440), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (1021) ~ (ssList(all_0_5_5) = all_130_1_54)
% 63.44/24.76 |
% 63.44/24.76 | From (1084)(418) and (1021) follows:
% 63.44/24.76 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (88) and (673) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (1024) ssList(all_0_5_5) = all_130_1_54
% 63.44/24.76 | (418) all_130_1_54 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (1084)(418) and (1024) follows:
% 63.44/24.76 | (88) ssList(all_0_14_14) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (443), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (1010) ~ (ssList(all_0_13_13) = all_130_1_54)
% 63.44/24.76 |
% 63.44/24.76 | From (418) and (1010) follows:
% 63.44/24.76 | (661) ~ (ssList(all_0_13_13) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (72) and (661) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (1013) ssList(all_0_13_13) = all_130_1_54
% 63.44/24.76 | (418) all_130_1_54 = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (445), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (1026) ~ (ssList(nil) = all_130_1_54)
% 63.44/24.76 |
% 63.44/24.76 | From (418) and (1026) follows:
% 63.44/24.76 | (667) ~ (ssList(nil) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (104) and (667) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (1029) ssList(nil) = all_130_1_54
% 63.44/24.76 | (418) all_130_1_54 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (418) and (1029) follows:
% 63.44/24.76 | (104) ssList(nil) = 0
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (444), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (1015) ~ (ssList(all_0_14_14) = all_130_1_54)
% 63.44/24.76 |
% 63.44/24.76 | From (418) and (1015) follows:
% 63.44/24.76 | (673) ~ (ssList(all_0_14_14) = 0)
% 63.44/24.76 |
% 63.44/24.76 | Using (88) and (673) yields:
% 63.44/24.76 | (617) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (1018) ssList(all_0_14_14) = all_130_1_54
% 63.44/24.76 | (418) all_130_1_54 = 0
% 63.44/24.76 |
% 63.44/24.76 | From (418) and (1018) follows:
% 63.44/24.76 | (88) ssList(all_0_14_14) = 0
% 63.44/24.76 |
% 63.44/24.76 | Instantiating formula (13) with all_0_7_7, nil, all_0_6_6, all_401_1_833, all_401_3_835, all_401_5_837, all_0_8_8, all_0_14_14 and discharging atoms duplicatefreeP(all_0_14_14) = 0, ssList(all_401_5_837) = 0, cons(all_0_8_8, all_401_3_835) = all_401_1_833, cons(all_0_8_8, nil) = all_0_7_7, app(all_401_5_837, all_401_1_833) = all_0_6_6, app(all_0_6_6, all_0_7_7) = all_0_14_14, ssItem(all_0_8_8) = 0, yields:
% 63.44/24.76 | (1905) ? [v0] : (( ~ (v0 = 0) & ssList(all_401_3_835) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 63.44/24.76 |
% 63.44/24.76 | Instantiating (1905) with all_1047_0_876 yields:
% 63.44/24.76 | (1906) ( ~ (all_1047_0_876 = 0) & ssList(all_401_3_835) = all_1047_0_876) | ( ~ (all_1047_0_876 = 0) & ssList(all_0_14_14) = all_1047_0_876) | ( ~ (all_1047_0_876 = 0) & ssList(nil) = all_1047_0_876)
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (1906), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (1907) ( ~ (all_1047_0_876 = 0) & ssList(all_401_3_835) = all_1047_0_876) | ( ~ (all_1047_0_876 = 0) & ssList(all_0_14_14) = all_1047_0_876)
% 63.44/24.76 |
% 63.44/24.76 +-Applying beta-rule and splitting (1907), into two cases.
% 63.44/24.76 |-Branch one:
% 63.44/24.76 | (1908) ~ (all_1047_0_876 = 0) & ssList(all_401_3_835) = all_1047_0_876
% 63.44/24.76 |
% 63.44/24.76 | Applying alpha-rule on (1908) yields:
% 63.44/24.76 | (1909) ~ (all_1047_0_876 = 0)
% 63.44/24.76 | (1910) ssList(all_401_3_835) = all_1047_0_876
% 63.44/24.76 |
% 63.44/24.76 | Instantiating formula (49) with all_401_3_835, all_1047_0_876, 0 and discharging atoms ssList(all_401_3_835) = all_1047_0_876, ssList(all_401_3_835) = 0, yields:
% 63.44/24.76 | (1911) all_1047_0_876 = 0
% 63.44/24.76 |
% 63.44/24.76 | Equations (1911) can reduce 1909 to:
% 63.44/24.76 | (274) $false
% 63.44/24.76 |
% 63.44/24.76 |-The branch is then unsatisfiable
% 63.44/24.76 |-Branch two:
% 63.44/24.76 | (1913) ~ (all_1047_0_876 = 0) & ssList(all_0_14_14) = all_1047_0_876
% 63.44/24.76 |
% 63.44/24.76 | Applying alpha-rule on (1913) yields:
% 63.44/24.76 | (1909) ~ (all_1047_0_876 = 0)
% 63.44/24.76 | (1915) ssList(all_0_14_14) = all_1047_0_876
% 63.44/24.76 |
% 63.44/24.76 | Instantiating formula (49) with all_0_14_14, all_1047_0_876, 0 and discharging atoms ssList(all_0_14_14) = all_1047_0_876, ssList(all_0_14_14) = 0, yields:
% 63.44/24.77 | (1911) all_1047_0_876 = 0
% 63.44/24.77 |
% 63.44/24.77 | Equations (1911) can reduce 1909 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (1918) ~ (all_1047_0_876 = 0) & ssList(nil) = all_1047_0_876
% 63.44/24.77 |
% 63.44/24.77 | Applying alpha-rule on (1918) yields:
% 63.44/24.77 | (1909) ~ (all_1047_0_876 = 0)
% 63.44/24.77 | (1920) ssList(nil) = all_1047_0_876
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (49) with nil, all_1047_0_876, 0 and discharging atoms ssList(nil) = all_1047_0_876, ssList(nil) = 0, yields:
% 63.44/24.77 | (1911) all_1047_0_876 = 0
% 63.44/24.77 |
% 63.44/24.77 | Equations (1911) can reduce 1909 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (1923) ~ (all_401_5_837 = 0) & ssItem(all_0_8_8) = all_401_5_837
% 63.44/24.77 |
% 63.44/24.77 | Applying alpha-rule on (1923) yields:
% 63.44/24.77 | (1924) ~ (all_401_5_837 = 0)
% 63.44/24.77 | (1925) ssItem(all_0_8_8) = all_401_5_837
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (89) with all_0_8_8, all_401_5_837, 0 and discharging atoms ssItem(all_0_8_8) = all_401_5_837, ssItem(all_0_8_8) = 0, yields:
% 63.44/24.77 | (1926) all_401_5_837 = 0
% 63.44/24.77 |
% 63.44/24.77 | Equations (1926) can reduce 1924 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (473) ~ (all_0_3_3 = nil)
% 63.44/24.77 | (477) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (141) with all_0_8_8, all_0_7_7, all_0_8_8, all_0_3_3, nil and discharging atoms ssList(all_0_3_3) = 0, ssList(nil) = 0, cons(all_0_8_8, all_0_3_3) = all_0_7_7, cons(all_0_8_8, nil) = all_0_7_7, yields:
% 63.44/24.77 | (1169) all_0_3_3 = nil | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (43) with nil, all_0_14_14, all_0_14_14, all_0_3_3 and discharging atoms ssList(all_0_3_3) = 0, app(all_0_14_14, all_0_3_3) = all_0_14_14, app(all_0_14_14, nil) = all_0_14_14, yields:
% 63.44/24.77 | (1931) all_0_3_3 = nil | ? [v0] : (( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 63.44/24.77 |
% 63.44/24.77 +-Applying beta-rule and splitting (1931), into two cases.
% 63.44/24.77 |-Branch one:
% 63.44/24.77 | (474) all_0_3_3 = nil
% 63.44/24.77 |
% 63.44/24.77 | Equations (474) can reduce 473 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (473) ~ (all_0_3_3 = nil)
% 63.44/24.77 | (1935) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 63.44/24.77 |
% 63.44/24.77 +-Applying beta-rule and splitting (1169), into two cases.
% 63.44/24.77 |-Branch one:
% 63.44/24.77 | (474) all_0_3_3 = nil
% 63.44/24.77 |
% 63.44/24.77 | Equations (474) can reduce 473 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (473) ~ (all_0_3_3 = nil)
% 63.44/24.77 | (1161) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 63.44/24.77 |
% 63.44/24.77 | Instantiating (1161) with all_454_0_1115 yields:
% 63.44/24.77 | (1940) ~ (all_454_0_1115 = 0) & ssItem(all_0_8_8) = all_454_0_1115
% 63.44/24.77 |
% 63.44/24.77 | Applying alpha-rule on (1940) yields:
% 63.44/24.77 | (1941) ~ (all_454_0_1115 = 0)
% 63.44/24.77 | (1942) ssItem(all_0_8_8) = all_454_0_1115
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (89) with all_0_8_8, all_454_0_1115, 0 and discharging atoms ssItem(all_0_8_8) = all_454_0_1115, ssItem(all_0_8_8) = 0, yields:
% 63.44/24.77 | (1943) all_454_0_1115 = 0
% 63.44/24.77 |
% 63.44/24.77 | Equations (1943) can reduce 1941 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (1187) ~ (all_8_1_17 = all_0_7_7)
% 63.44/24.77 | (1188) ? [v0] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | ( ~ (v0 = 0) & ssList(all_0_6_6) = v0))
% 63.44/24.77 |
% 63.44/24.77 | Instantiating (1188) with all_302_0_1134 yields:
% 63.44/24.77 | (1947) ( ~ (all_302_0_1134 = 0) & ssList(all_8_1_17) = all_302_0_1134) | ( ~ (all_302_0_1134 = 0) & ssList(all_0_6_6) = all_302_0_1134)
% 63.44/24.77 |
% 63.44/24.77 +-Applying beta-rule and splitting (1947), into two cases.
% 63.44/24.77 |-Branch one:
% 63.44/24.77 | (1948) ~ (all_302_0_1134 = 0) & ssList(all_8_1_17) = all_302_0_1134
% 63.44/24.77 |
% 63.44/24.77 | Applying alpha-rule on (1948) yields:
% 63.44/24.77 | (1949) ~ (all_302_0_1134 = 0)
% 63.44/24.77 | (1950) ssList(all_8_1_17) = all_302_0_1134
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (49) with all_8_1_17, all_302_0_1134, 0 and discharging atoms ssList(all_8_1_17) = all_302_0_1134, ssList(all_8_1_17) = 0, yields:
% 63.44/24.77 | (1951) all_302_0_1134 = 0
% 63.44/24.77 |
% 63.44/24.77 | Equations (1951) can reduce 1949 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (1953) ~ (all_302_0_1134 = 0) & ssList(all_0_6_6) = all_302_0_1134
% 63.44/24.77 |
% 63.44/24.77 | Applying alpha-rule on (1953) yields:
% 63.44/24.77 | (1949) ~ (all_302_0_1134 = 0)
% 63.44/24.77 | (1955) ssList(all_0_6_6) = all_302_0_1134
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (49) with all_0_6_6, all_302_0_1134, 0 and discharging atoms ssList(all_0_6_6) = all_302_0_1134, ssList(all_0_6_6) = 0, yields:
% 63.44/24.77 | (1951) all_302_0_1134 = 0
% 63.44/24.77 |
% 63.44/24.77 | Equations (1951) can reduce 1949 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (1200) ~ (all_0_5_5 = all_0_14_14)
% 63.44/24.77 | (1201) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 63.44/24.77 |
% 63.44/24.77 | Instantiating (1201) with all_290_0_1147 yields:
% 63.44/24.77 | (1960) ~ (all_290_0_1147 = 0) & ssList(all_0_5_5) = all_290_0_1147
% 63.44/24.77 |
% 63.44/24.77 | Applying alpha-rule on (1960) yields:
% 63.44/24.77 | (1961) ~ (all_290_0_1147 = 0)
% 63.44/24.77 | (1962) ssList(all_0_5_5) = all_290_0_1147
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (49) with all_0_5_5, all_290_0_1147, 0 and discharging atoms ssList(all_0_5_5) = all_290_0_1147, ssList(all_0_5_5) = 0, yields:
% 63.44/24.77 | (1963) all_290_0_1147 = 0
% 63.44/24.77 |
% 63.44/24.77 | Equations (1963) can reduce 1961 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (1965) all_0_13_13 = nil & all_0_14_14 = nil
% 63.44/24.77 |
% 63.44/24.77 | Applying alpha-rule on (1965) yields:
% 63.44/24.77 | (1966) all_0_13_13 = nil
% 63.44/24.77 | (462) all_0_14_14 = nil
% 63.44/24.77 |
% 63.44/24.77 | Equations (462) can reduce 453 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (1969) app(all_0_5_5, all_0_3_3) = nil
% 63.44/24.77 | (1970) all_0_5_5 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_3_3) = v0)
% 63.44/24.77 |
% 63.44/24.77 +-Applying beta-rule and splitting (1970), into two cases.
% 63.44/24.77 |-Branch one:
% 63.44/24.77 | (359) all_0_5_5 = nil
% 63.44/24.77 |
% 63.44/24.77 | Equations (359) can reduce 322 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.77 |-Branch two:
% 63.44/24.77 | (322) ~ (all_0_5_5 = nil)
% 63.44/24.77 | (1974) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_3_3) = v0)
% 63.44/24.77 |
% 63.44/24.77 | Instantiating (1974) with all_167_0_1148 yields:
% 63.44/24.77 | (1975) ~ (all_167_0_1148 = 0) & ssList(all_0_3_3) = all_167_0_1148
% 63.44/24.77 |
% 63.44/24.77 | Applying alpha-rule on (1975) yields:
% 63.44/24.77 | (1976) ~ (all_167_0_1148 = 0)
% 63.44/24.77 | (1977) ssList(all_0_3_3) = all_167_0_1148
% 63.44/24.77 |
% 63.44/24.77 | Instantiating formula (49) with all_0_3_3, all_167_0_1148, 0 and discharging atoms ssList(all_0_3_3) = all_167_0_1148, ssList(all_0_3_3) = 0, yields:
% 63.44/24.77 | (1978) all_167_0_1148 = 0
% 63.44/24.77 |
% 63.44/24.77 | Equations (1978) can reduce 1976 to:
% 63.44/24.77 | (274) $false
% 63.44/24.77 |
% 63.44/24.77 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (1980) app(all_0_6_6, all_0_7_7) = nil
% 63.44/24.78 | (1981) all_0_7_7 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 63.44/24.78 |
% 63.44/24.78 +-Applying beta-rule and splitting (174), into two cases.
% 63.44/24.78 |-Branch one:
% 63.44/24.78 | (316) ~ (app(all_0_6_6, all_0_7_7) = nil)
% 63.44/24.78 |
% 63.44/24.78 | Using (1980) and (316) yields:
% 63.44/24.78 | (617) $false
% 63.44/24.78 |
% 63.44/24.78 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (1980) app(all_0_6_6, all_0_7_7) = nil
% 63.44/24.78 | (1985) all_0_6_6 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 63.44/24.78 |
% 63.44/24.78 +-Applying beta-rule and splitting (1985), into two cases.
% 63.44/24.78 |-Branch one:
% 63.44/24.78 | (1986) all_0_6_6 = nil
% 63.44/24.78 |
% 63.44/24.78 | From (1986) and (147) follows:
% 63.44/24.78 | (1987) app(nil, all_0_7_7) = all_0_5_5
% 63.44/24.78 |
% 63.44/24.78 | From (1986) and (1980) follows:
% 63.44/24.78 | (1988) app(nil, all_0_7_7) = nil
% 63.44/24.78 |
% 63.44/24.78 +-Applying beta-rule and splitting (175), into two cases.
% 63.44/24.78 |-Branch one:
% 63.44/24.78 | (1989) ~ (app(nil, all_0_7_7) = all_0_5_5)
% 63.44/24.78 |
% 63.44/24.78 | Using (1987) and (1989) yields:
% 63.44/24.78 | (617) $false
% 63.44/24.78 |
% 63.44/24.78 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (1987) app(nil, all_0_7_7) = all_0_5_5
% 63.44/24.78 | (1992) all_0_5_5 = all_0_7_7 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 63.44/24.78 |
% 63.44/24.78 +-Applying beta-rule and splitting (1992), into two cases.
% 63.44/24.78 |-Branch one:
% 63.44/24.78 | (1993) all_0_5_5 = all_0_7_7
% 63.44/24.78 |
% 63.44/24.78 | From (1993) and (1987) follows:
% 63.44/24.78 | (1994) app(nil, all_0_7_7) = all_0_7_7
% 63.44/24.78 |
% 63.44/24.78 +-Applying beta-rule and splitting (172), into two cases.
% 63.44/24.78 |-Branch one:
% 63.44/24.78 | (1989) ~ (app(nil, all_0_7_7) = all_0_5_5)
% 63.44/24.78 |
% 63.44/24.78 | From (1993) and (1989) follows:
% 63.44/24.78 | (1996) ~ (app(nil, all_0_7_7) = all_0_7_7)
% 63.44/24.78 |
% 63.44/24.78 | Using (1994) and (1996) yields:
% 63.44/24.78 | (617) $false
% 63.44/24.78 |
% 63.44/24.78 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (1987) app(nil, all_0_7_7) = all_0_5_5
% 63.44/24.78 | (1999) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (ssList(all_0_3_3) = v0 & app(all_0_7_7, all_0_3_3) = v1 & app(nil, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_14_14)))
% 63.44/24.78 |
% 63.44/24.78 | From (1993) and (1987) follows:
% 63.44/24.78 | (1994) app(nil, all_0_7_7) = all_0_7_7
% 63.44/24.78 |
% 63.44/24.78 +-Applying beta-rule and splitting (170), into two cases.
% 63.44/24.78 |-Branch one:
% 63.44/24.78 | (2001) ~ (app(all_0_6_6, all_0_7_7) = all_0_6_6)
% 63.44/24.78 |
% 63.44/24.78 | From (1986)(1986) and (2001) follows:
% 63.44/24.78 | (2002) ~ (app(nil, all_0_7_7) = nil)
% 63.44/24.78 |
% 63.44/24.78 | Using (1988) and (2002) yields:
% 63.44/24.78 | (617) $false
% 63.44/24.78 |
% 63.44/24.78 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (2004) app(all_0_6_6, all_0_7_7) = all_0_6_6
% 63.44/24.78 | (2005) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (ssList(all_0_7_7) = v0 & app(all_0_6_6, v1) = v2 & app(all_0_7_7, all_0_7_7) = v1 & ( ~ (v0 = 0) | v2 = all_0_6_6)))
% 63.44/24.78 |
% 63.44/24.78 | From (1986)(1986) and (2004) follows:
% 63.44/24.78 | (1988) app(nil, all_0_7_7) = nil
% 63.44/24.78 |
% 63.44/24.78 +-Applying beta-rule and splitting (176), into two cases.
% 63.44/24.78 |-Branch one:
% 63.44/24.78 | (2001) ~ (app(all_0_6_6, all_0_7_7) = all_0_6_6)
% 63.44/24.78 |
% 63.44/24.78 | From (1986)(1986) and (2001) follows:
% 63.44/24.78 | (2002) ~ (app(nil, all_0_7_7) = nil)
% 63.44/24.78 |
% 63.44/24.78 | Using (1988) and (2002) yields:
% 63.44/24.78 | (617) $false
% 63.44/24.78 |
% 63.44/24.78 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (2004) app(all_0_6_6, all_0_7_7) = all_0_6_6
% 63.44/24.78 | (2011) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_6_6) = v0) | (memberP(all_0_7_7, all_0_8_8) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | all_0_4_4 = 0)))
% 63.44/24.78 |
% 63.44/24.78 | From (1986)(1986) and (2004) follows:
% 63.44/24.78 | (1988) app(nil, all_0_7_7) = nil
% 63.44/24.78 |
% 63.44/24.78 | Instantiating formula (116) with nil, all_0_7_7, nil, all_0_7_7 and discharging atoms app(nil, all_0_7_7) = all_0_7_7, app(nil, all_0_7_7) = nil, yields:
% 63.44/24.78 | (351) all_0_7_7 = nil
% 63.44/24.78 |
% 63.44/24.78 | Equations (351) can reduce 314 to:
% 63.44/24.78 | (274) $false
% 63.44/24.78 |
% 63.44/24.78 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (2015) ~ (all_0_5_5 = all_0_7_7)
% 63.44/24.78 | (2016) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 63.44/24.78 |
% 63.44/24.78 | Instantiating (2016) with all_111_0_1159 yields:
% 63.44/24.78 | (2017) ~ (all_111_0_1159 = 0) & ssList(all_0_7_7) = all_111_0_1159
% 63.44/24.78 |
% 63.44/24.78 | Applying alpha-rule on (2017) yields:
% 63.44/24.78 | (2018) ~ (all_111_0_1159 = 0)
% 63.44/24.78 | (2019) ssList(all_0_7_7) = all_111_0_1159
% 63.44/24.78 |
% 63.44/24.78 | Instantiating formula (49) with all_0_7_7, all_111_0_1159, 0 and discharging atoms ssList(all_0_7_7) = all_111_0_1159, ssList(all_0_7_7) = 0, yields:
% 63.44/24.78 | (2020) all_111_0_1159 = 0
% 63.44/24.78 |
% 63.44/24.78 | Equations (2020) can reduce 2018 to:
% 63.44/24.78 | (274) $false
% 63.44/24.78 |
% 63.44/24.78 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (2022) ~ (all_0_6_6 = nil)
% 63.44/24.78 | (2016) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 63.44/24.78 |
% 63.44/24.78 | Instantiating (2016) with all_103_0_1165 yields:
% 63.44/24.78 | (2024) ~ (all_103_0_1165 = 0) & ssList(all_0_7_7) = all_103_0_1165
% 63.44/24.78 |
% 63.44/24.78 | Applying alpha-rule on (2024) yields:
% 63.44/24.78 | (2025) ~ (all_103_0_1165 = 0)
% 63.44/24.78 | (2026) ssList(all_0_7_7) = all_103_0_1165
% 63.44/24.78 |
% 63.44/24.78 | Instantiating formula (49) with all_0_7_7, all_103_0_1165, 0 and discharging atoms ssList(all_0_7_7) = all_103_0_1165, ssList(all_0_7_7) = 0, yields:
% 63.44/24.78 | (2027) all_103_0_1165 = 0
% 63.44/24.78 |
% 63.44/24.78 | Equations (2027) can reduce 2025 to:
% 63.44/24.78 | (274) $false
% 63.44/24.78 |
% 63.44/24.78 |-The branch is then unsatisfiable
% 63.44/24.78 |-Branch two:
% 63.44/24.78 | (2029) cons(all_0_8_8, nil) = nil
% 63.44/24.78 | (1161) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 63.44/24.78 |
% 63.44/24.78 | Instantiating (1161) with all_67_0_1168 yields:
% 63.44/24.78 | (2031) ~ (all_67_0_1168 = 0) & ssItem(all_0_8_8) = all_67_0_1168
% 63.44/24.78 |
% 63.44/24.78 | Applying alpha-rule on (2031) yields:
% 63.44/24.78 | (2032) ~ (all_67_0_1168 = 0)
% 63.44/24.78 | (2033) ssItem(all_0_8_8) = all_67_0_1168
% 63.44/24.78 |
% 63.44/24.78 | Instantiating formula (89) with all_0_8_8, all_67_0_1168, 0 and discharging atoms ssItem(all_0_8_8) = all_67_0_1168, ssItem(all_0_8_8) = 0, yields:
% 63.66/24.78 | (2034) all_67_0_1168 = 0
% 63.66/24.78 |
% 63.66/24.78 | Equations (2034) can reduce 2032 to:
% 63.66/24.78 | (274) $false
% 63.66/24.78 |
% 63.66/24.78 |-The branch is then unsatisfiable
% 63.66/24.78 % SZS output end Proof for theBenchmark
% 63.66/24.78
% 63.66/24.78 24197ms
%------------------------------------------------------------------------------