TSTP Solution File: SWC187+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC187+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 20:16:42 EDT 2022
% Result : Theorem 26.53s 7.92s
% Output : Proof 68.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC187+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 11 21:53:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.50/0.60 ____ _
% 0.50/0.60 ___ / __ \_____(_)___ ________ __________
% 0.50/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.60
% 0.50/0.60 A Theorem Prover for First-Order Logic
% 0.50/0.60 (ePrincess v.1.0)
% 0.50/0.60
% 0.50/0.60 (c) Philipp Rümmer, 2009-2015
% 0.50/0.60 (c) Peter Backeman, 2014-2015
% 0.50/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.60 Bug reports to peter@backeman.se
% 0.50/0.60
% 0.50/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.60
% 0.50/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.33/1.11 Prover 0: Preprocessing ...
% 4.63/1.70 Prover 0: Constructing countermodel ...
% 18.48/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.16/6.10 Prover 1: Preprocessing ...
% 20.34/6.39 Prover 1: Constructing countermodel ...
% 26.53/7.92 Prover 1: proved (1977ms)
% 26.53/7.92 Prover 0: stopped
% 26.53/7.92
% 26.53/7.92 No countermodel exists, formula is valid
% 26.53/7.92 % SZS status Theorem for theBenchmark
% 26.53/7.92
% 26.53/7.92 Generating proof ... found it (size 1482)
% 66.04/26.24
% 66.04/26.24 % SZS output start Proof for theBenchmark
% 66.04/26.24 Assumed formulas after preprocessing and simplification:
% 66.04/26.24 | (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) | (v2 = nil & v1 = nil)))
% 66.67/26.34 | 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:
% 66.67/26.34 | (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) | (all_0_13_13 = nil & all_0_14_14 = nil))
% 66.67/26.39 |
% 66.67/26.39 | Applying alpha-rule on (1) yields:
% 66.67/26.39 | (2) all_0_2_2 = 0 | all_0_4_4 = 0
% 66.67/26.39 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 66.67/26.39 | (4) ! [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))))))))
% 66.67/26.39 | (5) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.67/26.39 | (6) ! [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)))
% 66.67/26.39 | (7) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 66.67/26.39 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 66.67/26.39 | (9) ssItem(all_0_8_8) = 0
% 66.67/26.39 | (10) ! [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)))
% 66.67/26.39 | (11) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.67/26.39 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 66.67/26.39 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 66.67/26.39 | (14) cyclefreeP(nil) = 0
% 66.67/26.39 | (15) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.67/26.39 | (16) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 66.67/26.40 | (17) strictorderedP(nil) = 0
% 66.67/26.40 | (18) ~ (all_0_0_0 = all_0_1_1)
% 66.67/26.40 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 66.67/26.40 | (20) app(all_0_5_5, all_0_3_3) = all_0_14_14
% 66.67/26.40 | (21) ! [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)))
% 66.67/26.40 | (22) ! [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)))
% 66.67/26.40 | (23) ssItem(all_0_0_0) = 0
% 66.67/26.40 | (24) totalorderedP(nil) = 0
% 66.67/26.40 | (25) ! [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)))
% 66.67/26.40 | (26) ! [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))))
% 66.67/26.40 | (27) ! [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)))
% 66.67/26.40 | (28) ! [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))))
% 66.67/26.40 | (29) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 66.67/26.40 | (30) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 66.67/26.40 | (31) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 66.67/26.40 | (32) ! [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)))
% 66.67/26.40 | (33) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 66.67/26.40 | (34) ! [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)))))
% 66.67/26.40 | (35) singletonP(nil) = all_0_15_15
% 66.67/26.40 | (36) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 66.98/26.41 | (37) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 66.98/26.41 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 66.98/26.41 | (39) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 66.98/26.41 | (40) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 66.98/26.41 | (41) ssList(nil) = 0
% 66.98/26.41 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 66.98/26.41 | (43) ! [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)))
% 66.98/26.41 | (44) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 66.98/26.41 | (45) ! [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)))
% 66.98/26.41 | (46) ! [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)))))
% 66.98/26.41 | (47) ! [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))))))))
% 66.98/26.41 | (48) strictorderP(nil) = 0
% 66.98/26.41 | (49) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.98/26.41 | (50) ! [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)))
% 66.98/26.41 | (51) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.98/26.41 | (52) ! [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)))
% 66.98/26.41 | (53) ! [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)))
% 66.98/26.41 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 66.98/26.41 | (55) ! [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))))
% 66.98/26.41 | (56) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 66.98/26.41 | (57) ! [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)))))))
% 66.98/26.41 | (58) ! [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)))
% 66.98/26.41 | (59) ! [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)))))
% 66.98/26.41 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 66.98/26.41 | (61) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 66.98/26.42 | (62) ! [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)))
% 66.98/26.42 | (63) ssList(all_0_13_13) = 0
% 66.98/26.42 | (64) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.98/26.42 | (65) memberP(all_0_3_3, all_0_8_8) = all_0_2_2
% 66.98/26.42 | (66) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 66.98/26.42 | (67) ! [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)))
% 66.98/26.42 | (68) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.98/26.42 | (69) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 66.98/26.42 | (70) ! [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))))
% 66.98/26.42 | (71) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 66.98/26.42 | (72) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 66.98/26.42 | (73) (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) | (all_0_13_13 = nil & all_0_14_14 = nil)
% 66.98/26.42 | (74) ! [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)))))))
% 66.98/26.42 | (75) ! [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)))
% 66.98/26.42 | (76) ~ (all_0_15_15 = 0)
% 66.98/26.42 | (77) ! [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)))
% 66.98/26.42 | (78) ! [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))))))))
% 66.98/26.42 | (79) ! [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)))))))
% 66.98/26.42 | (80) cons(all_0_8_8, nil) = all_0_7_7
% 66.98/26.42 | (81) memberP(all_0_6_6, all_0_8_8) = all_0_4_4
% 66.98/26.42 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 66.98/26.42 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 66.98/26.42 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 66.98/26.42 | (85) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 66.98/26.42 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 66.98/26.42 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 66.98/26.42 | (88) ! [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)))))))
% 66.98/26.42 | (89) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 66.98/26.42 | (90) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 66.98/26.42 | (91) ! [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)))
% 66.98/26.42 | (92) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 66.98/26.42 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 66.98/26.42 | (94) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 66.98/26.42 | (95) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 66.98/26.42 | (96) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 66.98/26.43 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 66.98/26.43 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 66.98/26.43 | (99) ssItem(all_0_1_1) = 0
% 66.98/26.43 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 66.98/26.43 | (101) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 66.98/26.43 | (102) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 66.98/26.43 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 66.98/26.43 | (104) totalorderP(nil) = 0
% 66.98/26.43 | (105) ! [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)))
% 66.98/26.43 | (106) ! [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)))))
% 66.98/26.43 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 66.98/26.43 | (108) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 66.98/26.43 | (109) ! [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)))
% 66.98/26.43 | (110) ! [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)))
% 66.98/26.43 | (111) ssList(all_0_3_3) = 0
% 66.98/26.43 | (112) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 66.98/26.43 | (113) ! [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)))
% 66.98/26.43 | (114) duplicatefreeP(nil) = 0
% 66.98/26.43 | (115) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 66.98/26.43 | (116) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 66.98/26.43 | (117) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 66.98/26.43 | (118) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 66.98/26.43 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 66.98/26.43 | (120) ! [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)))
% 66.98/26.43 | (121) ! [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)))
% 66.98/26.43 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 66.98/26.43 | (123) ! [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))))
% 66.98/26.43 | (124) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 66.98/26.43 | (125) ! [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)))))))
% 66.98/26.43 | (126) ! [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)))
% 66.98/26.43 | (127) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 66.98/26.43 | (128) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 66.98/26.43 | (129) ! [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)))))
% 66.98/26.44 | (130) ! [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)))))))
% 66.98/26.44 | (131) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 66.98/26.44 | (132) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 66.98/26.44 | (133) ! [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)))
% 66.98/26.44 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 66.98/26.44 | (135) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.98/26.44 | (136) ! [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)))))
% 66.98/26.44 | (137) ! [v0] : ! [v1] : ( ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & ssList(v2) = 0 & app(v2, v1) = v0) | ( ~ (v2 = 0) & ssList(v1) = v2)))
% 66.98/26.44 | (138) ssList(all_0_6_6) = 0
% 66.98/26.44 | (139) equalelemsP(nil) = 0
% 66.98/26.44 | (140) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 66.98/26.44 | (141) ssList(all_0_14_14) = 0
% 66.98/26.44 | (142) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 66.98/26.44 | (143) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 66.98/26.44 | (144) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 66.98/26.44 | (145) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 66.98/26.44 | (146) ! [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)))))
% 66.98/26.44 | (147) ! [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)))))
% 66.98/26.44 | (148) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 66.98/26.44 | (149) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 66.98/26.44 | (150) ! [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)))))
% 66.98/26.44 | (151) app(all_0_6_6, all_0_7_7) = all_0_5_5
% 66.98/26.44 | (152) ! [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)))))
% 66.98/26.44 | (153) ! [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)))))))
% 66.98/26.44 | (154) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (102) with all_0_3_3 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 66.98/26.44 | (155) all_0_3_3 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (102) with all_0_14_14 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 66.98/26.44 | (156) all_0_14_14 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_14_14 & ssItem(v1) = 0)
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (100) 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:
% 66.98/26.44 | (157) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (87) 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:
% 66.98/26.44 | (158) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (71) 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:
% 66.98/26.44 | (159) ? [v0] : ? [v1] : (ssList(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (15) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 66.98/26.44 | (160) ? [v0] : ? [v1] : (equalelemsP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (5) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 66.98/26.44 | (161) ? [v0] : ? [v1] : (duplicatefreeP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (51) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 66.98/26.44 | (162) ? [v0] : ? [v1] : (strictorderedP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (68) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 66.98/26.44 | (163) ? [v0] : ? [v1] : (totalorderedP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (11) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 66.98/26.44 | (164) ? [v0] : ? [v1] : (strictorderP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (64) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 66.98/26.44 | (165) ? [v0] : ? [v1] : (totalorderP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (135) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 66.98/26.44 | (166) ? [v0] : ? [v1] : (cyclefreeP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (29) with all_0_8_8, nil and discharging atoms ssList(nil) = 0, yields:
% 66.98/26.44 | (167) ~ (cons(all_0_8_8, nil) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 66.98/26.44 |
% 66.98/26.44 | Instantiating formula (132) with all_0_14_14, all_0_5_5 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (84) 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:
% 66.98/26.45 | (169) ? [v0] : ? [v1] : (ssList(all_0_5_5) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (26) 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:
% 66.98/26.45 | (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)))
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (26) 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:
% 66.98/26.45 | (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)))
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (26) 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:
% 66.98/26.45 | (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)))
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (94) with all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (69) with all_0_7_7, all_0_6_6 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (7) with all_0_5_5, all_0_7_7 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (4) 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:
% 66.98/26.45 | (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)))
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (171) with all_8_0_16, all_8_1_17, all_8_2_18 yields:
% 66.98/26.45 | (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))
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (169) with all_9_0_19, all_9_1_20 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (178) yields:
% 66.98/26.45 | (179) ssList(all_0_5_5) = all_9_0_19
% 66.98/26.45 | (180) ssList(all_0_7_7) = all_9_1_20
% 66.98/26.45 | (181) ~ (all_9_1_20 = 0) | all_9_0_19 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (166) with all_11_0_21, all_11_1_22 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (182) yields:
% 66.98/26.45 | (183) cyclefreeP(all_0_7_7) = all_11_0_21
% 66.98/26.45 | (184) ssItem(all_0_8_8) = all_11_1_22
% 66.98/26.45 | (185) ~ (all_11_1_22 = 0) | all_11_0_21 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (165) with all_13_0_23, all_13_1_24 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (186) yields:
% 66.98/26.45 | (187) totalorderP(all_0_7_7) = all_13_0_23
% 66.98/26.45 | (188) ssItem(all_0_8_8) = all_13_1_24
% 66.98/26.45 | (189) ~ (all_13_1_24 = 0) | all_13_0_23 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (163) with all_15_0_25, all_15_1_26 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (190) yields:
% 66.98/26.45 | (191) totalorderedP(all_0_7_7) = all_15_0_25
% 66.98/26.45 | (192) ssItem(all_0_8_8) = all_15_1_26
% 66.98/26.45 | (193) ~ (all_15_1_26 = 0) | all_15_0_25 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (161) with all_17_0_27, all_17_1_28 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (194) yields:
% 66.98/26.45 | (195) duplicatefreeP(all_0_7_7) = all_17_0_27
% 66.98/26.45 | (196) ssItem(all_0_8_8) = all_17_1_28
% 66.98/26.45 | (197) ~ (all_17_1_28 = 0) | all_17_0_27 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (162) with all_19_0_29, all_19_1_30 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (198) yields:
% 66.98/26.45 | (199) strictorderedP(all_0_7_7) = all_19_0_29
% 66.98/26.45 | (200) ssItem(all_0_8_8) = all_19_1_30
% 66.98/26.45 | (201) ~ (all_19_1_30 = 0) | all_19_0_29 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (159) with all_21_0_31, all_21_1_32 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (202) yields:
% 66.98/26.45 | (203) ssList(all_0_7_7) = all_21_0_31
% 66.98/26.45 | (204) ssItem(all_0_8_8) = all_21_1_32
% 66.98/26.45 | (205) ~ (all_21_1_32 = 0) | all_21_0_31 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (160) with all_23_0_33, all_23_1_34 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (206) yields:
% 66.98/26.45 | (207) equalelemsP(all_0_7_7) = all_23_0_33
% 66.98/26.45 | (208) ssItem(all_0_8_8) = all_23_1_34
% 66.98/26.45 | (209) ~ (all_23_1_34 = 0) | all_23_0_33 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (158) with all_25_0_35, all_25_1_36 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (210) yields:
% 66.98/26.45 | (211) hd(all_0_7_7) = all_25_0_35
% 66.98/26.45 | (212) ssItem(all_0_8_8) = all_25_1_36
% 66.98/26.45 | (213) ~ (all_25_1_36 = 0) | all_25_0_35 = all_0_8_8
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (157) with all_27_0_37, all_27_1_38 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (214) yields:
% 66.98/26.45 | (215) tl(all_0_7_7) = all_27_0_37
% 66.98/26.45 | (216) ssItem(all_0_8_8) = all_27_1_38
% 66.98/26.45 | (217) ~ (all_27_1_38 = 0) | all_27_0_37 = nil
% 66.98/26.45 |
% 66.98/26.45 | Instantiating (164) with all_29_0_39, all_29_1_40 yields:
% 66.98/26.45 | (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)
% 66.98/26.45 |
% 66.98/26.45 | Applying alpha-rule on (218) yields:
% 66.98/26.45 | (219) strictorderP(all_0_7_7) = all_29_0_39
% 66.98/26.45 | (220) ssItem(all_0_8_8) = all_29_1_40
% 66.98/26.45 | (221) ~ (all_29_1_40 = 0) | all_29_0_39 = 0
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_5_5, all_9_0_19, 0 and discharging atoms ssList(all_0_5_5) = all_9_0_19, yields:
% 66.98/26.45 | (222) all_9_0_19 = 0 | ~ (ssList(all_0_5_5) = 0)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_6_6, all_9_0_19, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 66.98/26.45 | (223) all_9_0_19 = 0 | ~ (ssList(all_0_6_6) = all_9_0_19)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_13_13, all_9_0_19, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 66.98/26.45 | (224) all_9_0_19 = 0 | ~ (ssList(all_0_13_13) = all_9_0_19)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_14_14, all_9_0_19, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 66.98/26.45 | (225) all_9_0_19 = 0 | ~ (ssList(all_0_14_14) = all_9_0_19)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with nil, all_9_0_19, 0 and discharging atoms ssList(nil) = 0, yields:
% 66.98/26.45 | (226) all_9_0_19 = 0 | ~ (ssList(nil) = all_9_0_19)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_7_7, all_21_0_31, 0 and discharging atoms ssList(all_0_7_7) = all_21_0_31, yields:
% 66.98/26.45 | (227) all_21_0_31 = 0 | ~ (ssList(all_0_7_7) = 0)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_13_13, all_21_0_31, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 66.98/26.45 | (228) all_21_0_31 = 0 | ~ (ssList(all_0_13_13) = all_21_0_31)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_14_14, all_21_0_31, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 66.98/26.45 | (229) all_21_0_31 = 0 | ~ (ssList(all_0_14_14) = all_21_0_31)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with nil, all_21_0_31, 0 and discharging atoms ssList(nil) = 0, yields:
% 66.98/26.45 | (230) all_21_0_31 = 0 | ~ (ssList(nil) = all_21_0_31)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) 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:
% 66.98/26.45 | (231) all_21_0_31 = all_9_0_19 | ~ (ssList(all_0_7_7) = all_9_0_19)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_7_7, all_9_1_20, 0 and discharging atoms ssList(all_0_7_7) = all_9_1_20, yields:
% 66.98/26.45 | (232) all_9_1_20 = 0 | ~ (ssList(all_0_7_7) = 0)
% 66.98/26.45 |
% 66.98/26.45 | Instantiating formula (117) with all_0_13_13, all_9_1_20, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 66.98/26.45 | (233) all_9_1_20 = 0 | ~ (ssList(all_0_13_13) = all_9_1_20)
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (117) with all_0_14_14, all_9_1_20, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 66.98/26.46 | (234) all_9_1_20 = 0 | ~ (ssList(all_0_14_14) = all_9_1_20)
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (117) with nil, all_9_1_20, 0 and discharging atoms ssList(nil) = 0, yields:
% 66.98/26.46 | (235) all_9_1_20 = 0 | ~ (ssList(nil) = all_9_1_20)
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (117) 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:
% 66.98/26.46 | (236) all_9_0_19 = all_9_1_20 | ~ (ssList(all_0_7_7) = all_9_0_19)
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (117) 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:
% 66.98/26.46 | (237) all_21_0_31 = all_9_1_20
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (238) all_27_1_38 = all_25_1_36
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (239) all_23_1_34 = 0
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (240) all_25_1_36 = all_21_1_32
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (241) all_29_1_40 = all_19_1_30
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (242) all_23_1_34 = all_19_1_30
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (243) all_27_1_38 = all_17_1_28
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (244) all_27_1_38 = all_15_1_26
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (245) all_19_1_30 = all_15_1_26
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (246) all_29_1_40 = all_13_1_24
% 66.98/26.46 |
% 66.98/26.46 | Instantiating formula (83) 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:
% 66.98/26.46 | (247) all_25_1_36 = all_11_1_22
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (241,246) yields a new equation:
% 66.98/26.46 | (248) all_19_1_30 = all_13_1_24
% 66.98/26.46 |
% 66.98/26.46 | Simplifying 248 yields:
% 66.98/26.46 | (249) all_19_1_30 = all_13_1_24
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (238,243) yields a new equation:
% 66.98/26.46 | (250) all_25_1_36 = all_17_1_28
% 66.98/26.46 |
% 66.98/26.46 | Simplifying 250 yields:
% 66.98/26.46 | (251) all_25_1_36 = all_17_1_28
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (244,243) yields a new equation:
% 66.98/26.46 | (252) all_17_1_28 = all_15_1_26
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (247,240) yields a new equation:
% 66.98/26.46 | (253) all_21_1_32 = all_11_1_22
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (251,240) yields a new equation:
% 66.98/26.46 | (254) all_21_1_32 = all_17_1_28
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (242,239) yields a new equation:
% 66.98/26.46 | (255) all_19_1_30 = 0
% 66.98/26.46 |
% 66.98/26.46 | Simplifying 255 yields:
% 66.98/26.46 | (256) all_19_1_30 = 0
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (254,253) yields a new equation:
% 66.98/26.46 | (257) all_17_1_28 = all_11_1_22
% 66.98/26.46 |
% 66.98/26.46 | Simplifying 257 yields:
% 66.98/26.46 | (258) all_17_1_28 = all_11_1_22
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (245,249) yields a new equation:
% 66.98/26.46 | (259) all_15_1_26 = all_13_1_24
% 66.98/26.46 |
% 66.98/26.46 | Simplifying 259 yields:
% 66.98/26.46 | (260) all_15_1_26 = all_13_1_24
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (256,249) yields a new equation:
% 66.98/26.46 | (261) all_13_1_24 = 0
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (252,258) yields a new equation:
% 66.98/26.46 | (262) all_15_1_26 = all_11_1_22
% 66.98/26.46 |
% 66.98/26.46 | Simplifying 262 yields:
% 66.98/26.46 | (263) all_15_1_26 = all_11_1_22
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (260,263) yields a new equation:
% 66.98/26.46 | (264) all_13_1_24 = all_11_1_22
% 66.98/26.46 |
% 66.98/26.46 | Simplifying 264 yields:
% 66.98/26.46 | (265) all_13_1_24 = all_11_1_22
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (261,265) yields a new equation:
% 66.98/26.46 | (266) all_11_1_22 = 0
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (266,258) yields a new equation:
% 66.98/26.46 | (267) all_17_1_28 = 0
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (266,253) yields a new equation:
% 66.98/26.46 | (268) all_21_1_32 = 0
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (268,240) yields a new equation:
% 66.98/26.46 | (269) all_25_1_36 = 0
% 66.98/26.46 |
% 66.98/26.46 | Combining equations (267,243) yields a new equation:
% 66.98/26.46 | (270) all_27_1_38 = 0
% 66.98/26.46 |
% 66.98/26.46 | From (237) and (203) follows:
% 67.23/26.46 | (180) ssList(all_0_7_7) = all_9_1_20
% 67.23/26.46 |
% 67.23/26.46 | From (266) and (184) follows:
% 67.23/26.46 | (9) ssItem(all_0_8_8) = 0
% 67.23/26.46 |
% 67.23/26.46 +-Applying beta-rule and splitting (217), into two cases.
% 67.23/26.46 |-Branch one:
% 67.23/26.46 | (273) ~ (all_27_1_38 = 0)
% 67.23/26.46 |
% 67.23/26.46 | Equations (270) can reduce 273 to:
% 67.23/26.46 | (274) $false
% 67.23/26.46 |
% 67.23/26.46 |-The branch is then unsatisfiable
% 67.23/26.46 |-Branch two:
% 67.23/26.46 | (270) all_27_1_38 = 0
% 67.23/26.46 | (276) all_27_0_37 = nil
% 67.23/26.46 |
% 67.23/26.46 | From (276) and (215) follows:
% 67.23/26.46 | (277) tl(all_0_7_7) = nil
% 67.23/26.46 |
% 67.23/26.46 +-Applying beta-rule and splitting (205), into two cases.
% 67.23/26.46 |-Branch one:
% 67.23/26.46 | (278) ~ (all_21_1_32 = 0)
% 67.23/26.46 |
% 67.23/26.46 | Equations (268) can reduce 278 to:
% 67.23/26.46 | (274) $false
% 67.23/26.46 |
% 67.23/26.46 |-The branch is then unsatisfiable
% 67.23/26.46 |-Branch two:
% 67.23/26.46 | (268) all_21_1_32 = 0
% 67.23/26.46 | (281) all_21_0_31 = 0
% 67.23/26.46 |
% 67.23/26.46 | Combining equations (237,281) yields a new equation:
% 67.23/26.46 | (282) all_9_1_20 = 0
% 67.23/26.46 |
% 67.23/26.46 | Simplifying 282 yields:
% 67.23/26.46 | (283) all_9_1_20 = 0
% 67.23/26.46 |
% 67.23/26.46 | From (283) and (180) follows:
% 67.23/26.46 | (284) ssList(all_0_7_7) = 0
% 67.23/26.46 |
% 67.23/26.46 +-Applying beta-rule and splitting (181), into two cases.
% 67.23/26.46 |-Branch one:
% 67.23/26.46 | (285) ~ (all_9_1_20 = 0)
% 67.23/26.46 |
% 67.23/26.46 | Equations (283) can reduce 285 to:
% 67.23/26.46 | (274) $false
% 67.23/26.46 |
% 67.23/26.46 |-The branch is then unsatisfiable
% 67.23/26.46 |-Branch two:
% 67.23/26.46 | (283) all_9_1_20 = 0
% 67.23/26.46 | (288) all_9_0_19 = 0
% 67.23/26.46 |
% 67.23/26.46 | From (288) and (179) follows:
% 67.23/26.46 | (289) ssList(all_0_5_5) = 0
% 67.23/26.46 |
% 67.23/26.46 +-Applying beta-rule and splitting (167), into two cases.
% 67.23/26.46 |-Branch one:
% 67.23/26.46 | (290) ~ (cons(all_0_8_8, nil) = nil)
% 67.23/26.46 |
% 67.23/26.46 +-Applying beta-rule and splitting (177), into two cases.
% 67.23/26.46 |-Branch one:
% 67.23/26.46 | (291) ~ (all_8_2_18 = 0) & ssList(all_0_7_7) = all_8_2_18
% 67.23/26.46 |
% 67.23/26.46 | Applying alpha-rule on (291) yields:
% 67.23/26.46 | (292) ~ (all_8_2_18 = 0)
% 67.23/26.46 | (293) ssList(all_0_7_7) = all_8_2_18
% 67.23/26.46 |
% 67.23/26.46 | Instantiating formula (117) 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:
% 67.23/26.46 | (294) all_8_2_18 = 0
% 67.23/26.46 |
% 67.23/26.46 | Equations (294) can reduce 292 to:
% 67.23/26.46 | (274) $false
% 67.23/26.46 |
% 67.23/26.46 |-The branch is then unsatisfiable
% 67.23/26.46 |-Branch two:
% 67.23/26.46 | (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)
% 67.23/26.46 |
% 67.23/26.46 | Applying alpha-rule on (296) yields:
% 67.23/26.46 | (297) ssList(all_0_3_3) = all_8_2_18
% 67.23/26.46 | (298) app(all_0_6_6, all_8_1_17) = all_8_0_16
% 67.23/26.46 | (299) app(all_0_7_7, all_0_3_3) = all_8_1_17
% 67.23/26.46 | (300) ~ (all_8_2_18 = 0) | all_8_0_16 = all_0_14_14
% 67.23/26.46 |
% 67.23/26.46 +-Applying beta-rule and splitting (213), into two cases.
% 67.23/26.46 |-Branch one:
% 67.23/26.46 | (301) ~ (all_25_1_36 = 0)
% 67.23/26.46 |
% 67.23/26.46 | Equations (269) can reduce 301 to:
% 67.23/26.46 | (274) $false
% 67.23/26.46 |
% 67.23/26.46 |-The branch is then unsatisfiable
% 67.23/26.46 |-Branch two:
% 67.23/26.47 | (269) all_25_1_36 = 0
% 67.23/26.47 | (304) all_25_0_35 = all_0_8_8
% 67.23/26.47 |
% 67.23/26.47 | From (304) and (211) follows:
% 67.23/26.47 | (305) hd(all_0_7_7) = all_0_8_8
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (117) 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:
% 67.23/26.47 | (294) all_8_2_18 = 0
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (117) with all_0_6_6, all_8_2_18, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 67.23/26.47 | (307) all_8_2_18 = 0 | ~ (ssList(all_0_6_6) = all_8_2_18)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (117) with all_0_13_13, all_8_2_18, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 67.23/26.47 | (308) all_8_2_18 = 0 | ~ (ssList(all_0_13_13) = all_8_2_18)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (117) with all_0_14_14, all_8_2_18, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 67.23/26.47 | (309) all_8_2_18 = 0 | ~ (ssList(all_0_14_14) = all_8_2_18)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (117) with nil, all_8_2_18, 0 and discharging atoms ssList(nil) = 0, yields:
% 67.23/26.47 | (310) all_8_2_18 = 0 | ~ (ssList(nil) = all_8_2_18)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (117) with all_0_5_5, 0, all_8_2_18 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 67.23/26.47 | (311) all_8_2_18 = 0 | ~ (ssList(all_0_5_5) = all_8_2_18)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (117) with all_0_7_7, 0, all_8_2_18 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 67.23/26.47 | (312) all_8_2_18 = 0 | ~ (ssList(all_0_7_7) = all_8_2_18)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (97) 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:
% 67.23/26.47 | (313) all_8_0_16 = all_0_5_5 | ~ (app(all_0_6_6, all_0_7_7) = all_8_0_16)
% 67.23/26.47 |
% 67.23/26.47 | Using (80) and (290) yields:
% 67.23/26.47 | (314) ~ (all_0_7_7 = nil)
% 67.23/26.47 |
% 67.23/26.47 | From (294) and (297) follows:
% 67.23/26.47 | (111) ssList(all_0_3_3) = 0
% 67.23/26.47 |
% 67.23/26.47 +-Applying beta-rule and splitting (173), into two cases.
% 67.23/26.47 |-Branch one:
% 67.23/26.47 | (316) ~ (app(all_0_6_6, all_0_7_7) = nil)
% 67.23/26.47 |
% 67.23/26.47 +-Applying beta-rule and splitting (300), into two cases.
% 67.23/26.47 |-Branch one:
% 67.23/26.47 | (292) ~ (all_8_2_18 = 0)
% 67.23/26.47 |
% 67.23/26.47 | Equations (294) can reduce 292 to:
% 67.23/26.47 | (274) $false
% 67.23/26.47 |
% 67.23/26.47 |-The branch is then unsatisfiable
% 67.23/26.47 |-Branch two:
% 67.23/26.47 | (294) all_8_2_18 = 0
% 67.23/26.47 | (320) all_8_0_16 = all_0_14_14
% 67.23/26.47 |
% 67.23/26.47 | From (320) and (298) follows:
% 67.23/26.47 | (321) app(all_0_6_6, all_8_1_17) = all_0_14_14
% 67.23/26.47 |
% 67.23/26.47 | Using (151) and (316) yields:
% 67.23/26.47 | (322) ~ (all_0_5_5 = nil)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (130) with nil, all_0_7_7 and discharging atoms tl(all_0_7_7) = nil, yields:
% 67.23/26.47 | (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))))))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (26) 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:
% 67.23/26.47 | (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)))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (69) with all_0_3_3, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 67.23/26.47 | (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)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (102) with all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 67.23/26.47 | (326) all_0_5_5 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_5_5 & ssItem(v1) = 0)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (102) with all_0_7_7 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 67.23/26.47 | (327) all_0_7_7 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_7_7 & ssItem(v1) = 0)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (84) 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:
% 67.23/26.47 | (328) ? [v0] : ? [v1] : (ssList(all_8_1_17) = v0 & ssList(all_0_14_14) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (26) 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:
% 67.23/26.47 | (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)))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (45) 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:
% 67.23/26.47 | (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))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (50) 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:
% 67.23/26.47 | (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))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (84) 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:
% 67.23/26.47 | (332) ? [v0] : ? [v1] : (ssList(all_8_1_17) = v1 & ssList(all_0_3_3) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (26) 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:
% 67.23/26.47 | (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)))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating formula (70) 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:
% 67.23/26.47 | (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)))
% 67.23/26.47 |
% 67.23/26.47 | Instantiating (332) with all_108_0_41, all_108_1_42 yields:
% 67.23/26.47 | (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)
% 67.23/26.47 |
% 67.23/26.47 | Applying alpha-rule on (335) yields:
% 67.23/26.47 | (336) ssList(all_8_1_17) = all_108_0_41
% 67.23/26.47 | (337) ssList(all_0_3_3) = all_108_1_42
% 67.23/26.47 | (338) ~ (all_108_1_42 = 0) | all_108_0_41 = 0
% 67.23/26.47 |
% 67.23/26.47 | Instantiating (331) with all_110_0_43, all_110_1_44 yields:
% 67.23/26.47 | (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)
% 67.23/26.47 |
% 67.23/26.47 | Applying alpha-rule on (339) yields:
% 67.23/26.47 | (340) cons(all_0_8_8, all_0_3_3) = all_110_0_43
% 67.23/26.47 | (341) ssItem(all_0_8_8) = all_110_1_44
% 67.23/26.47 | (342) ~ (all_110_1_44 = 0) | all_110_0_43 = all_8_1_17
% 67.23/26.47 |
% 67.23/26.47 | Instantiating (328) with all_112_0_45, all_112_1_46 yields:
% 67.23/26.47 | (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)
% 67.23/26.47 |
% 67.23/26.47 | Applying alpha-rule on (343) yields:
% 67.23/26.47 | (344) ssList(all_8_1_17) = all_112_1_46
% 67.23/26.47 | (345) ssList(all_0_14_14) = all_112_0_45
% 67.23/26.47 | (346) ~ (all_112_1_46 = 0) | all_112_0_45 = 0
% 67.23/26.47 |
% 67.23/26.47 | Instantiating (323) with all_114_0_47, all_114_1_48 yields:
% 67.23/26.47 | (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)))))
% 67.23/26.47 |
% 67.23/26.47 | Applying alpha-rule on (347) yields:
% 67.23/26.47 | (348) hd(all_0_7_7) = all_114_0_47
% 67.23/26.47 | (349) ssList(all_0_7_7) = all_114_1_48
% 67.23/26.47 | (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))))
% 67.23/26.47 |
% 67.23/26.47 +-Applying beta-rule and splitting (327), into two cases.
% 67.23/26.47 |-Branch one:
% 67.23/26.47 | (351) all_0_7_7 = nil
% 67.23/26.47 |
% 67.23/26.47 | Equations (351) can reduce 314 to:
% 67.23/26.47 | (274) $false
% 67.23/26.47 |
% 67.23/26.47 |-The branch is then unsatisfiable
% 67.23/26.47 |-Branch two:
% 67.23/26.47 | (314) ~ (all_0_7_7 = nil)
% 67.23/26.47 | (354) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_7_7 & ssItem(v1) = 0)
% 67.23/26.47 |
% 67.23/26.47 | Instantiating (354) with all_120_0_49, all_120_1_50 yields:
% 67.23/26.47 | (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
% 67.23/26.48 |
% 67.23/26.48 | Applying alpha-rule on (355) yields:
% 67.23/26.48 | (356) ssList(all_120_1_50) = 0
% 67.23/26.48 | (357) cons(all_120_0_49, all_120_1_50) = all_0_7_7
% 67.23/26.48 | (358) ssItem(all_120_0_49) = 0
% 67.23/26.48 |
% 67.23/26.48 +-Applying beta-rule and splitting (326), into two cases.
% 67.23/26.48 |-Branch one:
% 67.23/26.48 | (359) all_0_5_5 = nil
% 67.23/26.48 |
% 67.23/26.48 | Equations (359) can reduce 322 to:
% 67.23/26.48 | (274) $false
% 67.23/26.48 |
% 67.23/26.48 |-The branch is then unsatisfiable
% 67.23/26.48 |-Branch two:
% 67.23/26.48 | (322) ~ (all_0_5_5 = nil)
% 67.23/26.48 | (362) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_5_5 & ssItem(v1) = 0)
% 67.23/26.48 |
% 67.23/26.48 +-Applying beta-rule and splitting (334), into two cases.
% 67.23/26.48 |-Branch one:
% 67.23/26.48 | (351) all_0_7_7 = nil
% 67.23/26.48 |
% 67.23/26.48 | Equations (351) can reduce 314 to:
% 67.23/26.48 | (274) $false
% 67.23/26.48 |
% 67.23/26.48 |-The branch is then unsatisfiable
% 67.23/26.48 |-Branch two:
% 67.23/26.48 | (314) ~ (all_0_7_7 = nil)
% 67.23/26.48 | (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)))
% 67.23/26.48 |
% 67.23/26.48 | Instantiating (366) with all_130_0_53, all_130_1_54 yields:
% 67.23/26.48 | (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))
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (42) 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:
% 67.23/26.48 | (368) all_114_0_47 = all_0_8_8
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_3_3, all_112_1_46, 0 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 67.23/26.48 | (369) all_112_1_46 = 0 | ~ (ssList(all_0_3_3) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_5_5, all_112_1_46, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 67.23/26.48 | (370) all_112_1_46 = 0 | ~ (ssList(all_0_5_5) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_6_6, all_112_1_46, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 67.23/26.48 | (371) all_112_1_46 = 0 | ~ (ssList(all_0_6_6) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_7_7, all_112_1_46, 0 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 67.23/26.48 | (372) all_112_1_46 = 0 | ~ (ssList(all_0_7_7) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_13_13, all_112_1_46, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 67.23/26.48 | (373) all_112_1_46 = 0 | ~ (ssList(all_0_13_13) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_14_14, all_112_1_46, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 67.23/26.48 | (374) all_112_1_46 = 0 | ~ (ssList(all_0_14_14) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with nil, all_112_1_46, 0 and discharging atoms ssList(nil) = 0, yields:
% 67.23/26.48 | (375) all_112_1_46 = 0 | ~ (ssList(nil) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_8_1_17, all_112_1_46, 0 and discharging atoms ssList(all_8_1_17) = all_112_1_46, yields:
% 67.23/26.48 | (376) all_112_1_46 = 0 | ~ (ssList(all_8_1_17) = 0)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_3_3, all_108_0_41, 0 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 67.23/26.48 | (377) all_108_0_41 = 0 | ~ (ssList(all_0_3_3) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_5_5, all_108_0_41, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 67.23/26.48 | (378) all_108_0_41 = 0 | ~ (ssList(all_0_5_5) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_6_6, all_108_0_41, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 67.23/26.48 | (379) all_108_0_41 = 0 | ~ (ssList(all_0_6_6) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_7_7, all_108_0_41, 0 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 67.23/26.48 | (380) all_108_0_41 = 0 | ~ (ssList(all_0_7_7) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_13_13, all_108_0_41, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 67.23/26.48 | (381) all_108_0_41 = 0 | ~ (ssList(all_0_13_13) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_14_14, all_108_0_41, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 67.23/26.48 | (382) all_108_0_41 = 0 | ~ (ssList(all_0_14_14) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with nil, all_108_0_41, 0 and discharging atoms ssList(nil) = 0, yields:
% 67.23/26.48 | (383) all_108_0_41 = 0 | ~ (ssList(nil) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_8_1_17, all_108_0_41, 0 and discharging atoms ssList(all_8_1_17) = all_108_0_41, yields:
% 67.23/26.48 | (384) all_108_0_41 = 0 | ~ (ssList(all_8_1_17) = 0)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (385) all_112_1_46 = all_108_0_41
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (386) all_108_1_42 = 0
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_5_5, all_108_1_42, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 67.23/26.48 | (387) all_108_1_42 = 0 | ~ (ssList(all_0_5_5) = all_108_1_42)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_6_6, all_108_1_42, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 67.23/26.48 | (388) all_108_1_42 = 0 | ~ (ssList(all_0_6_6) = all_108_1_42)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_7_7, all_108_1_42, 0 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 67.23/26.48 | (389) all_108_1_42 = 0 | ~ (ssList(all_0_7_7) = all_108_1_42)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_13_13, all_108_1_42, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 67.23/26.48 | (390) all_108_1_42 = 0 | ~ (ssList(all_0_13_13) = all_108_1_42)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_14_14, all_108_1_42, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 67.23/26.48 | (391) all_108_1_42 = 0 | ~ (ssList(all_0_14_14) = all_108_1_42)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with nil, all_108_1_42, 0 and discharging atoms ssList(nil) = 0, yields:
% 67.23/26.48 | (392) all_108_1_42 = 0 | ~ (ssList(nil) = all_108_1_42)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (393) all_112_1_46 = all_108_1_42 | ~ (ssList(all_0_3_3) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (394) all_108_0_41 = all_108_1_42 | ~ (ssList(all_0_3_3) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (395) all_114_1_48 = 0
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_13_13, all_114_1_48, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 67.23/26.48 | (396) all_114_1_48 = 0 | ~ (ssList(all_0_13_13) = all_114_1_48)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with all_0_14_14, all_114_1_48, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 67.23/26.48 | (397) all_114_1_48 = 0 | ~ (ssList(all_0_14_14) = all_114_1_48)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (398) all_114_1_48 = all_112_1_46 | ~ (ssList(all_0_7_7) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (399) all_114_1_48 = all_108_0_41 | ~ (ssList(all_0_7_7) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (400) all_114_1_48 = all_108_1_42 | ~ (ssList(all_0_7_7) = all_108_1_42)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (401) all_112_0_45 = 0
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) with nil, all_112_0_45, 0 and discharging atoms ssList(nil) = 0, yields:
% 67.23/26.48 | (402) all_112_0_45 = 0 | ~ (ssList(nil) = all_112_0_45)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (403) all_112_0_45 = all_112_1_46 | ~ (ssList(all_0_14_14) = all_112_1_46)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (404) all_112_0_45 = all_108_0_41 | ~ (ssList(all_0_14_14) = all_108_0_41)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (405) all_112_0_45 = all_108_1_42 | ~ (ssList(all_0_14_14) = all_108_1_42)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (117) 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:
% 67.23/26.48 | (406) all_114_1_48 = all_112_0_45 | ~ (ssList(all_0_14_14) = all_114_1_48)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (103) 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:
% 67.23/26.48 | (407) all_110_0_43 = all_0_7_7 | ~ (cons(all_0_8_8, nil) = all_110_0_43)
% 67.23/26.48 |
% 67.23/26.48 | Instantiating formula (83) 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:
% 67.23/26.48 | (408) all_110_1_44 = 0
% 67.23/26.48 |
% 67.23/26.48 | From (368) and (348) follows:
% 67.23/26.48 | (305) hd(all_0_7_7) = all_0_8_8
% 67.23/26.48 |
% 67.23/26.48 | From (385) and (344) follows:
% 67.23/26.48 | (336) ssList(all_8_1_17) = all_108_0_41
% 67.23/26.48 |
% 67.23/26.48 | From (386) and (337) follows:
% 67.23/26.48 | (111) ssList(all_0_3_3) = 0
% 67.23/26.48 |
% 67.23/26.48 | From (395) and (349) follows:
% 67.23/26.48 | (284) ssList(all_0_7_7) = 0
% 67.23/26.48 |
% 67.23/26.48 | From (401) and (345) follows:
% 67.23/26.48 | (141) ssList(all_0_14_14) = 0
% 67.23/26.48 |
% 67.23/26.48 | From (408) and (341) follows:
% 67.23/26.48 | (9) ssItem(all_0_8_8) = 0
% 67.23/26.48 |
% 67.23/26.48 +-Applying beta-rule and splitting (367), into two cases.
% 67.23/26.48 |-Branch one:
% 67.23/26.49 | (415) ~ (all_130_1_54 = 0) & ssList(all_0_7_7) = all_130_1_54
% 67.23/26.49 |
% 67.23/26.49 | Applying alpha-rule on (415) yields:
% 67.23/26.49 | (416) ~ (all_130_1_54 = 0)
% 67.23/26.49 | (417) ssList(all_0_7_7) = all_130_1_54
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (117) 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:
% 67.23/26.49 | (418) all_130_1_54 = 0
% 67.23/26.49 |
% 67.23/26.49 | Equations (418) can reduce 416 to:
% 67.23/26.49 | (274) $false
% 67.23/26.49 |
% 67.23/26.49 |-The branch is then unsatisfiable
% 67.23/26.49 |-Branch two:
% 67.23/26.49 | (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)
% 67.23/26.49 |
% 67.23/26.49 | Applying alpha-rule on (420) yields:
% 67.23/26.49 | (421) hd(all_8_1_17) = all_130_0_53
% 67.23/26.49 | (422) ssList(all_0_3_3) = all_130_1_54
% 67.23/26.49 | (423) ~ (all_130_1_54 = 0) | all_130_0_53 = all_0_8_8
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (338), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (424) ~ (all_108_1_42 = 0)
% 67.23/26.49 |
% 67.23/26.49 | Equations (386) can reduce 424 to:
% 67.23/26.49 | (274) $false
% 67.23/26.49 |
% 67.23/26.49 |-The branch is then unsatisfiable
% 67.23/26.49 |-Branch two:
% 67.23/26.49 | (386) all_108_1_42 = 0
% 67.23/26.49 | (427) all_108_0_41 = 0
% 67.23/26.49 |
% 67.23/26.49 | Combining equations (427,385) yields a new equation:
% 67.23/26.49 | (428) all_112_1_46 = 0
% 67.23/26.49 |
% 67.23/26.49 | From (427) and (336) follows:
% 67.23/26.49 | (429) ssList(all_8_1_17) = 0
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (342), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (430) ~ (all_110_1_44 = 0)
% 67.23/26.49 |
% 67.23/26.49 | Equations (408) can reduce 430 to:
% 67.23/26.49 | (274) $false
% 67.23/26.49 |
% 67.23/26.49 |-The branch is then unsatisfiable
% 67.23/26.49 |-Branch two:
% 67.23/26.49 | (408) all_110_1_44 = 0
% 67.23/26.49 | (433) all_110_0_43 = all_8_1_17
% 67.23/26.49 |
% 67.23/26.49 | From (433) and (340) follows:
% 67.23/26.49 | (434) cons(all_0_8_8, all_0_3_3) = all_8_1_17
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (350), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (435) ~ (all_114_1_48 = 0)
% 67.23/26.49 |
% 67.23/26.49 | Equations (395) can reduce 435 to:
% 67.23/26.49 | (274) $false
% 67.23/26.49 |
% 67.23/26.49 |-The branch is then unsatisfiable
% 67.23/26.49 |-Branch two:
% 67.23/26.49 | (395) all_114_1_48 = 0
% 67.23/26.49 | (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))))
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (117) 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:
% 67.23/26.49 | (418) all_130_1_54 = 0
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (117) with all_0_5_5, all_130_1_54, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 67.23/26.49 | (440) all_130_1_54 = 0 | ~ (ssList(all_0_5_5) = all_130_1_54)
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (117) with all_0_6_6, all_130_1_54, 0 and discharging atoms ssList(all_0_6_6) = 0, yields:
% 67.23/26.49 | (441) all_130_1_54 = 0 | ~ (ssList(all_0_6_6) = all_130_1_54)
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (117) with all_0_7_7, all_130_1_54, 0 and discharging atoms ssList(all_0_7_7) = 0, yields:
% 67.23/26.49 | (442) all_130_1_54 = 0 | ~ (ssList(all_0_7_7) = all_130_1_54)
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (117) with all_0_13_13, all_130_1_54, 0 and discharging atoms ssList(all_0_13_13) = 0, yields:
% 67.23/26.49 | (443) all_130_1_54 = 0 | ~ (ssList(all_0_13_13) = all_130_1_54)
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (117) with all_0_14_14, all_130_1_54, 0 and discharging atoms ssList(all_0_14_14) = 0, yields:
% 67.23/26.49 | (444) all_130_1_54 = 0 | ~ (ssList(all_0_14_14) = all_130_1_54)
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (117) with nil, all_130_1_54, 0 and discharging atoms ssList(nil) = 0, yields:
% 67.23/26.49 | (445) all_130_1_54 = 0 | ~ (ssList(nil) = all_130_1_54)
% 67.23/26.49 |
% 67.23/26.49 | From (418) and (422) follows:
% 67.23/26.49 | (111) ssList(all_0_3_3) = 0
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (423), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (416) ~ (all_130_1_54 = 0)
% 67.23/26.49 |
% 67.23/26.49 | Equations (418) can reduce 416 to:
% 67.23/26.49 | (274) $false
% 67.23/26.49 |
% 67.23/26.49 |-The branch is then unsatisfiable
% 67.23/26.49 |-Branch two:
% 67.23/26.49 | (418) all_130_1_54 = 0
% 67.23/26.49 | (450) all_130_0_53 = all_0_8_8
% 67.23/26.49 |
% 67.23/26.49 | From (450) and (421) follows:
% 67.23/26.49 | (451) hd(all_8_1_17) = all_0_8_8
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (325), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (452) ~ (app(all_0_5_5, all_0_3_3) = nil)
% 67.23/26.49 |
% 67.23/26.49 | Using (20) and (452) yields:
% 67.23/26.49 | (453) ~ (all_0_14_14 = nil)
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (73), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (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
% 67.23/26.49 |
% 67.23/26.49 | Applying alpha-rule on (454) yields:
% 67.23/26.49 | (455) all_0_11_11 = 0
% 67.23/26.49 | (456) all_0_10_10 = all_0_14_14
% 67.23/26.49 | (457) ssItem(all_0_12_12) = 0
% 67.23/26.49 | (458) cons(all_0_12_12, nil) = all_0_14_14
% 67.23/26.49 | (459) all_0_9_9 = 0
% 67.23/26.49 | (460) memberP(all_0_13_13, all_0_12_12) = 0
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (156), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (461) all_0_14_14 = nil
% 67.23/26.49 |
% 67.23/26.49 | Equations (461) can reduce 453 to:
% 67.23/26.49 | (274) $false
% 67.23/26.49 |
% 67.23/26.49 |-The branch is then unsatisfiable
% 67.23/26.49 |-Branch two:
% 67.23/26.49 | (453) ~ (all_0_14_14 = nil)
% 67.23/26.49 | (464) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_14_14 & ssItem(v1) = 0)
% 67.23/26.49 |
% 67.23/26.49 | Instantiating (464) with all_179_0_55, all_179_1_56 yields:
% 67.23/26.49 | (465) ssList(all_179_1_56) = 0 & cons(all_179_0_55, all_179_1_56) = all_0_14_14 & ssItem(all_179_0_55) = 0
% 67.23/26.49 |
% 67.23/26.49 | Applying alpha-rule on (465) yields:
% 67.23/26.49 | (466) ssList(all_179_1_56) = 0
% 67.23/26.49 | (467) cons(all_179_0_55, all_179_1_56) = all_0_14_14
% 67.23/26.49 | (468) ssItem(all_179_0_55) = 0
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (2), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (469) all_0_2_2 = 0
% 67.23/26.49 |
% 67.23/26.49 | From (469) and (65) follows:
% 67.23/26.49 | (470) memberP(all_0_3_3, all_0_8_8) = 0
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (168), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (471) ~ (app(all_0_5_5, nil) = all_0_14_14)
% 67.23/26.49 |
% 67.23/26.49 | Using (20) and (471) yields:
% 67.23/26.49 | (472) ~ (all_0_3_3 = nil)
% 67.23/26.49 |
% 67.23/26.49 +-Applying beta-rule and splitting (155), into two cases.
% 67.23/26.49 |-Branch one:
% 67.23/26.49 | (473) all_0_3_3 = nil
% 67.23/26.49 |
% 67.23/26.49 | Equations (473) can reduce 472 to:
% 67.23/26.49 | (274) $false
% 67.23/26.49 |
% 67.23/26.49 |-The branch is then unsatisfiable
% 67.23/26.49 |-Branch two:
% 67.23/26.49 | (472) ~ (all_0_3_3 = nil)
% 67.23/26.49 | (476) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 67.23/26.49 |
% 67.23/26.49 | Instantiating (476) with all_261_0_59, all_261_1_60 yields:
% 67.23/26.49 | (477) ssList(all_261_1_60) = 0 & cons(all_261_0_59, all_261_1_60) = all_0_3_3 & ssItem(all_261_0_59) = 0
% 67.23/26.49 |
% 67.23/26.49 | Applying alpha-rule on (477) yields:
% 67.23/26.49 | (478) ssList(all_261_1_60) = 0
% 67.23/26.49 | (479) cons(all_261_0_59, all_261_1_60) = all_0_3_3
% 67.23/26.49 | (480) ssItem(all_261_0_59) = 0
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (100) with all_0_3_3, all_261_0_59, all_261_1_60 and discharging atoms ssList(all_261_1_60) = 0, cons(all_261_0_59, all_261_1_60) = all_0_3_3, yields:
% 67.23/26.49 | (481) ? [v0] : ? [v1] : (tl(all_0_3_3) = v1 & ssItem(all_261_0_59) = v0 & ( ~ (v0 = 0) | v1 = all_261_1_60))
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (87) with all_0_3_3, all_261_0_59, all_261_1_60 and discharging atoms ssList(all_261_1_60) = 0, cons(all_261_0_59, all_261_1_60) = all_0_3_3, yields:
% 67.23/26.49 | (482) ? [v0] : ? [v1] : (hd(all_0_3_3) = v1 & ssItem(all_261_0_59) = v0 & ( ~ (v0 = 0) | v1 = all_261_0_59))
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (100) with all_0_14_14, all_179_0_55, all_179_1_56 and discharging atoms ssList(all_179_1_56) = 0, cons(all_179_0_55, all_179_1_56) = all_0_14_14, yields:
% 67.23/26.49 | (483) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_179_0_55) = v0 & ( ~ (v0 = 0) | v1 = all_179_1_56))
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (100) 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:
% 67.23/26.49 | (484) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_1_50))
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (87) 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:
% 67.23/26.49 | (485) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_0_49))
% 67.23/26.49 |
% 67.23/26.49 | Instantiating formula (100) 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:
% 67.23/26.50 | (486) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (87) 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:
% 67.23/26.50 | (487) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = all_0_12_12))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (15) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.23/26.50 | (488) ? [v0] : ? [v1] : (equalelemsP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (5) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.23/26.50 | (489) ? [v0] : ? [v1] : (duplicatefreeP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (51) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.23/26.50 | (490) ? [v0] : ? [v1] : (strictorderedP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (68) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.23/26.50 | (491) ? [v0] : ? [v1] : (totalorderedP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (11) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.23/26.50 | (492) ? [v0] : ? [v1] : (strictorderP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (64) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.23/26.50 | (493) ? [v0] : ? [v1] : (totalorderP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (88) with 0, all_0_3_3, all_261_1_60, all_261_0_59, all_0_8_8 and discharging atoms memberP(all_0_3_3, all_0_8_8) = 0, cons(all_261_0_59, all_261_1_60) = all_0_3_3, ssItem(all_261_0_59) = 0, ssItem(all_0_8_8) = 0, yields:
% 67.23/26.50 | (494) ? [v0] : ? [v1] : (memberP(all_261_1_60, all_0_8_8) = v1 & ssList(all_261_1_60) = v0 & ( ~ (v0 = 0) | v1 = 0 | all_261_0_59 = all_0_8_8))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating formula (121) with all_8_1_17, all_0_3_3, all_261_1_60, all_0_6_6, all_261_0_59, all_0_8_8, all_0_14_14 and discharging atoms ssList(all_0_6_6) = 0, cons(all_261_0_59, all_261_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_261_0_59) = 0, ssItem(all_0_8_8) = 0, yields:
% 67.23/26.50 | (495) all_261_0_59 = all_0_8_8 | ~ (equalelemsP(all_0_14_14) = 0) | ? [v0] : (( ~ (v0 = 0) & ssList(all_261_1_60) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (494) with all_338_0_124, all_338_1_125 yields:
% 67.23/26.50 | (496) memberP(all_261_1_60, all_0_8_8) = all_338_0_124 & ssList(all_261_1_60) = all_338_1_125 & ( ~ (all_338_1_125 = 0) | all_338_0_124 = 0 | all_261_0_59 = all_0_8_8)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (496) yields:
% 67.23/26.50 | (497) memberP(all_261_1_60, all_0_8_8) = all_338_0_124
% 67.23/26.50 | (498) ssList(all_261_1_60) = all_338_1_125
% 67.23/26.50 | (499) ~ (all_338_1_125 = 0) | all_338_0_124 = 0 | all_261_0_59 = all_0_8_8
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (485) with all_342_0_128, all_342_1_129 yields:
% 67.23/26.50 | (500) hd(all_0_7_7) = all_342_0_128 & ssItem(all_120_0_49) = all_342_1_129 & ( ~ (all_342_1_129 = 0) | all_342_0_128 = all_120_0_49)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (500) yields:
% 67.23/26.50 | (501) hd(all_0_7_7) = all_342_0_128
% 67.23/26.50 | (502) ssItem(all_120_0_49) = all_342_1_129
% 67.23/26.50 | (503) ~ (all_342_1_129 = 0) | all_342_0_128 = all_120_0_49
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (483) with all_348_0_134, all_348_1_135 yields:
% 67.23/26.50 | (504) tl(all_0_14_14) = all_348_0_134 & ssItem(all_179_0_55) = all_348_1_135 & ( ~ (all_348_1_135 = 0) | all_348_0_134 = all_179_1_56)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (504) yields:
% 67.23/26.50 | (505) tl(all_0_14_14) = all_348_0_134
% 67.23/26.50 | (506) ssItem(all_179_0_55) = all_348_1_135
% 67.23/26.50 | (507) ~ (all_348_1_135 = 0) | all_348_0_134 = all_179_1_56
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (484) with all_352_0_138, all_352_1_139 yields:
% 67.23/26.50 | (508) tl(all_0_7_7) = all_352_0_138 & ssItem(all_120_0_49) = all_352_1_139 & ( ~ (all_352_1_139 = 0) | all_352_0_138 = all_120_1_50)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (508) yields:
% 67.23/26.50 | (509) tl(all_0_7_7) = all_352_0_138
% 67.23/26.50 | (510) ssItem(all_120_0_49) = all_352_1_139
% 67.23/26.50 | (511) ~ (all_352_1_139 = 0) | all_352_0_138 = all_120_1_50
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (493) with all_358_0_144, all_358_1_145 yields:
% 67.23/26.50 | (512) totalorderP(all_0_14_14) = all_358_0_144 & ssItem(all_0_12_12) = all_358_1_145 & ( ~ (all_358_1_145 = 0) | all_358_0_144 = 0)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (512) yields:
% 67.23/26.50 | (513) totalorderP(all_0_14_14) = all_358_0_144
% 67.23/26.50 | (514) ssItem(all_0_12_12) = all_358_1_145
% 67.23/26.50 | (515) ~ (all_358_1_145 = 0) | all_358_0_144 = 0
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (488) with all_360_0_146, all_360_1_147 yields:
% 67.23/26.50 | (516) equalelemsP(all_0_14_14) = all_360_0_146 & ssItem(all_0_12_12) = all_360_1_147 & ( ~ (all_360_1_147 = 0) | all_360_0_146 = 0)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (516) yields:
% 67.23/26.50 | (517) equalelemsP(all_0_14_14) = all_360_0_146
% 67.23/26.50 | (518) ssItem(all_0_12_12) = all_360_1_147
% 67.23/26.50 | (519) ~ (all_360_1_147 = 0) | all_360_0_146 = 0
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (487) with all_362_0_148, all_362_1_149 yields:
% 67.23/26.50 | (520) hd(all_0_14_14) = all_362_0_148 & ssItem(all_0_12_12) = all_362_1_149 & ( ~ (all_362_1_149 = 0) | all_362_0_148 = all_0_12_12)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (520) yields:
% 67.23/26.50 | (521) hd(all_0_14_14) = all_362_0_148
% 67.23/26.50 | (522) ssItem(all_0_12_12) = all_362_1_149
% 67.23/26.50 | (523) ~ (all_362_1_149 = 0) | all_362_0_148 = all_0_12_12
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (492) with all_364_0_150, all_364_1_151 yields:
% 67.23/26.50 | (524) strictorderP(all_0_14_14) = all_364_0_150 & ssItem(all_0_12_12) = all_364_1_151 & ( ~ (all_364_1_151 = 0) | all_364_0_150 = 0)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (524) yields:
% 67.23/26.50 | (525) strictorderP(all_0_14_14) = all_364_0_150
% 67.23/26.50 | (526) ssItem(all_0_12_12) = all_364_1_151
% 67.23/26.50 | (527) ~ (all_364_1_151 = 0) | all_364_0_150 = 0
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (491) with all_366_0_152, all_366_1_153 yields:
% 67.23/26.50 | (528) totalorderedP(all_0_14_14) = all_366_0_152 & ssItem(all_0_12_12) = all_366_1_153 & ( ~ (all_366_1_153 = 0) | all_366_0_152 = 0)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (528) yields:
% 67.23/26.50 | (529) totalorderedP(all_0_14_14) = all_366_0_152
% 67.23/26.50 | (530) ssItem(all_0_12_12) = all_366_1_153
% 67.23/26.50 | (531) ~ (all_366_1_153 = 0) | all_366_0_152 = 0
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (486) with all_368_0_154, all_368_1_155 yields:
% 67.23/26.50 | (532) tl(all_0_14_14) = all_368_0_154 & ssItem(all_0_12_12) = all_368_1_155 & ( ~ (all_368_1_155 = 0) | all_368_0_154 = nil)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (532) yields:
% 67.23/26.50 | (533) tl(all_0_14_14) = all_368_0_154
% 67.23/26.50 | (534) ssItem(all_0_12_12) = all_368_1_155
% 67.23/26.50 | (535) ~ (all_368_1_155 = 0) | all_368_0_154 = nil
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (490) with all_370_0_156, all_370_1_157 yields:
% 67.23/26.50 | (536) strictorderedP(all_0_14_14) = all_370_0_156 & ssItem(all_0_12_12) = all_370_1_157 & ( ~ (all_370_1_157 = 0) | all_370_0_156 = 0)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (536) yields:
% 67.23/26.50 | (537) strictorderedP(all_0_14_14) = all_370_0_156
% 67.23/26.50 | (538) ssItem(all_0_12_12) = all_370_1_157
% 67.23/26.50 | (539) ~ (all_370_1_157 = 0) | all_370_0_156 = 0
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (489) with all_372_0_158, all_372_1_159 yields:
% 67.23/26.50 | (540) duplicatefreeP(all_0_14_14) = all_372_0_158 & ssItem(all_0_12_12) = all_372_1_159 & ( ~ (all_372_1_159 = 0) | all_372_0_158 = 0)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (540) yields:
% 67.23/26.50 | (541) duplicatefreeP(all_0_14_14) = all_372_0_158
% 67.23/26.50 | (542) ssItem(all_0_12_12) = all_372_1_159
% 67.23/26.50 | (543) ~ (all_372_1_159 = 0) | all_372_0_158 = 0
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (482) with all_378_0_164, all_378_1_165 yields:
% 67.23/26.50 | (544) hd(all_0_3_3) = all_378_0_164 & ssItem(all_261_0_59) = all_378_1_165 & ( ~ (all_378_1_165 = 0) | all_378_0_164 = all_261_0_59)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (544) yields:
% 67.23/26.50 | (545) hd(all_0_3_3) = all_378_0_164
% 67.23/26.50 | (546) ssItem(all_261_0_59) = all_378_1_165
% 67.23/26.50 | (547) ~ (all_378_1_165 = 0) | all_378_0_164 = all_261_0_59
% 67.23/26.50 |
% 67.23/26.50 | Instantiating (481) with all_380_0_166, all_380_1_167 yields:
% 67.23/26.50 | (548) tl(all_0_3_3) = all_380_0_166 & ssItem(all_261_0_59) = all_380_1_167 & ( ~ (all_380_1_167 = 0) | all_380_0_166 = all_261_1_60)
% 67.23/26.50 |
% 67.23/26.50 | Applying alpha-rule on (548) yields:
% 67.23/26.51 | (549) tl(all_0_3_3) = all_380_0_166
% 67.23/26.51 | (550) ssItem(all_261_0_59) = all_380_1_167
% 67.23/26.51 | (551) ~ (all_380_1_167 = 0) | all_380_0_166 = all_261_1_60
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (116) with all_0_7_7, all_352_0_138, nil and discharging atoms tl(all_0_7_7) = all_352_0_138, tl(all_0_7_7) = nil, yields:
% 67.23/26.51 | (552) all_352_0_138 = nil
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (116) with all_0_14_14, all_348_0_134, all_368_0_154 and discharging atoms tl(all_0_14_14) = all_368_0_154, tl(all_0_14_14) = all_348_0_134, yields:
% 67.23/26.51 | (553) all_368_0_154 = all_348_0_134
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (42) with all_0_7_7, all_342_0_128, all_0_8_8 and discharging atoms hd(all_0_7_7) = all_342_0_128, hd(all_0_7_7) = all_0_8_8, yields:
% 67.23/26.51 | (554) all_342_0_128 = all_0_8_8
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (117) with all_261_1_60, all_338_1_125, 0 and discharging atoms ssList(all_261_1_60) = all_338_1_125, ssList(all_261_1_60) = 0, yields:
% 67.23/26.51 | (555) all_338_1_125 = 0
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_261_0_59, all_380_1_167, 0 and discharging atoms ssItem(all_261_0_59) = all_380_1_167, ssItem(all_261_0_59) = 0, yields:
% 67.23/26.51 | (556) all_380_1_167 = 0
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_261_0_59, all_378_1_165, all_380_1_167 and discharging atoms ssItem(all_261_0_59) = all_380_1_167, ssItem(all_261_0_59) = all_378_1_165, yields:
% 67.23/26.51 | (557) all_380_1_167 = all_378_1_165
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_120_0_49, all_352_1_139, 0 and discharging atoms ssItem(all_120_0_49) = all_352_1_139, ssItem(all_120_0_49) = 0, yields:
% 67.23/26.51 | (558) all_352_1_139 = 0
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_120_0_49, all_342_1_129, all_352_1_139 and discharging atoms ssItem(all_120_0_49) = all_352_1_139, ssItem(all_120_0_49) = all_342_1_129, yields:
% 67.23/26.51 | (559) all_352_1_139 = all_342_1_129
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_0_12_12, all_368_1_155, all_372_1_159 and discharging atoms ssItem(all_0_12_12) = all_372_1_159, ssItem(all_0_12_12) = all_368_1_155, yields:
% 67.23/26.51 | (560) all_372_1_159 = all_368_1_155
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_0_12_12, all_368_1_155, all_370_1_157 and discharging atoms ssItem(all_0_12_12) = all_370_1_157, ssItem(all_0_12_12) = all_368_1_155, yields:
% 67.23/26.51 | (561) all_370_1_157 = all_368_1_155
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_0_12_12, all_366_1_153, all_370_1_157 and discharging atoms ssItem(all_0_12_12) = all_370_1_157, ssItem(all_0_12_12) = all_366_1_153, yields:
% 67.23/26.51 | (562) all_370_1_157 = all_366_1_153
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_0_12_12, all_364_1_151, all_372_1_159 and discharging atoms ssItem(all_0_12_12) = all_372_1_159, ssItem(all_0_12_12) = all_364_1_151, yields:
% 67.23/26.51 | (563) all_372_1_159 = all_364_1_151
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_0_12_12, all_362_1_149, all_372_1_159 and discharging atoms ssItem(all_0_12_12) = all_372_1_159, ssItem(all_0_12_12) = all_362_1_149, yields:
% 67.23/26.51 | (564) all_372_1_159 = all_362_1_149
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_0_12_12, all_360_1_147, 0 and discharging atoms ssItem(all_0_12_12) = all_360_1_147, ssItem(all_0_12_12) = 0, yields:
% 67.23/26.51 | (565) all_360_1_147 = 0
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_0_12_12, all_360_1_147, all_372_1_159 and discharging atoms ssItem(all_0_12_12) = all_372_1_159, ssItem(all_0_12_12) = all_360_1_147, yields:
% 67.23/26.51 | (566) all_372_1_159 = all_360_1_147
% 67.23/26.51 |
% 67.23/26.51 | Instantiating formula (83) with all_0_12_12, all_358_1_145, all_368_1_155 and discharging atoms ssItem(all_0_12_12) = all_368_1_155, ssItem(all_0_12_12) = all_358_1_145, yields:
% 67.23/26.51 | (567) all_368_1_155 = all_358_1_145
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (556,557) yields a new equation:
% 67.23/26.51 | (568) all_378_1_165 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (560,563) yields a new equation:
% 67.23/26.51 | (569) all_368_1_155 = all_364_1_151
% 67.23/26.51 |
% 67.23/26.51 | Simplifying 569 yields:
% 67.23/26.51 | (570) all_368_1_155 = all_364_1_151
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (564,563) yields a new equation:
% 67.23/26.51 | (571) all_364_1_151 = all_362_1_149
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (566,563) yields a new equation:
% 67.23/26.51 | (572) all_364_1_151 = all_360_1_147
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (561,562) yields a new equation:
% 67.23/26.51 | (573) all_368_1_155 = all_366_1_153
% 67.23/26.51 |
% 67.23/26.51 | Simplifying 573 yields:
% 67.23/26.51 | (574) all_368_1_155 = all_366_1_153
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (567,574) yields a new equation:
% 67.23/26.51 | (575) all_366_1_153 = all_358_1_145
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (570,574) yields a new equation:
% 67.23/26.51 | (576) all_366_1_153 = all_364_1_151
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (576,575) yields a new equation:
% 67.23/26.51 | (577) all_364_1_151 = all_358_1_145
% 67.23/26.51 |
% 67.23/26.51 | Simplifying 577 yields:
% 67.23/26.51 | (578) all_364_1_151 = all_358_1_145
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (572,571) yields a new equation:
% 67.23/26.51 | (579) all_362_1_149 = all_360_1_147
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (578,571) yields a new equation:
% 67.23/26.51 | (580) all_362_1_149 = all_358_1_145
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (579,580) yields a new equation:
% 67.23/26.51 | (581) all_360_1_147 = all_358_1_145
% 67.23/26.51 |
% 67.23/26.51 | Simplifying 581 yields:
% 67.23/26.51 | (582) all_360_1_147 = all_358_1_145
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (565,582) yields a new equation:
% 67.23/26.51 | (583) all_358_1_145 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (558,559) yields a new equation:
% 67.23/26.51 | (584) all_342_1_129 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (584,559) yields a new equation:
% 67.23/26.51 | (558) all_352_1_139 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (583,582) yields a new equation:
% 67.23/26.51 | (565) all_360_1_147 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (583,580) yields a new equation:
% 67.23/26.51 | (587) all_362_1_149 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (587,571) yields a new equation:
% 67.23/26.51 | (588) all_364_1_151 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (583,575) yields a new equation:
% 67.23/26.51 | (589) all_366_1_153 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (589,574) yields a new equation:
% 67.23/26.51 | (590) all_368_1_155 = 0
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (588,563) yields a new equation:
% 67.23/26.51 | (591) all_372_1_159 = 0
% 67.23/26.51 |
% 67.23/26.51 | From (553) and (533) follows:
% 67.23/26.51 | (505) tl(all_0_14_14) = all_348_0_134
% 67.23/26.51 |
% 67.23/26.51 | From (555) and (498) follows:
% 67.23/26.51 | (478) ssList(all_261_1_60) = 0
% 67.23/26.51 |
% 67.23/26.51 | From (568) and (546) follows:
% 67.23/26.51 | (480) ssItem(all_261_0_59) = 0
% 67.23/26.51 |
% 67.23/26.51 +-Applying beta-rule and splitting (503), into two cases.
% 67.23/26.51 |-Branch one:
% 67.23/26.51 | (595) ~ (all_342_1_129 = 0)
% 67.23/26.51 |
% 67.23/26.51 | Equations (584) can reduce 595 to:
% 67.23/26.51 | (274) $false
% 67.23/26.51 |
% 67.23/26.51 |-The branch is then unsatisfiable
% 67.23/26.51 |-Branch two:
% 67.23/26.51 | (584) all_342_1_129 = 0
% 67.23/26.51 | (598) all_342_0_128 = all_120_0_49
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (598,554) yields a new equation:
% 67.23/26.51 | (599) all_120_0_49 = all_0_8_8
% 67.23/26.51 |
% 67.23/26.51 | Simplifying 599 yields:
% 67.23/26.51 | (600) all_120_0_49 = all_0_8_8
% 67.23/26.51 |
% 67.23/26.51 | From (600) and (357) follows:
% 67.23/26.51 | (601) cons(all_0_8_8, all_120_1_50) = all_0_7_7
% 67.23/26.51 |
% 67.23/26.51 +-Applying beta-rule and splitting (535), into two cases.
% 67.23/26.51 |-Branch one:
% 67.23/26.51 | (602) ~ (all_368_1_155 = 0)
% 67.23/26.51 |
% 67.23/26.51 | Equations (590) can reduce 602 to:
% 67.23/26.51 | (274) $false
% 67.23/26.51 |
% 67.23/26.51 |-The branch is then unsatisfiable
% 67.23/26.51 |-Branch two:
% 67.23/26.51 | (590) all_368_1_155 = 0
% 67.23/26.51 | (605) all_368_0_154 = nil
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (605,553) yields a new equation:
% 67.23/26.51 | (606) all_348_0_134 = nil
% 67.23/26.51 |
% 67.23/26.51 | From (606) and (505) follows:
% 67.23/26.51 | (607) tl(all_0_14_14) = nil
% 67.23/26.51 |
% 67.23/26.51 +-Applying beta-rule and splitting (519), into two cases.
% 67.23/26.51 |-Branch one:
% 67.23/26.51 | (608) ~ (all_360_1_147 = 0)
% 67.23/26.51 |
% 67.23/26.51 | Equations (565) can reduce 608 to:
% 67.23/26.51 | (274) $false
% 67.23/26.51 |
% 67.23/26.51 |-The branch is then unsatisfiable
% 67.23/26.51 |-Branch two:
% 67.23/26.51 | (565) all_360_1_147 = 0
% 67.23/26.51 | (611) all_360_0_146 = 0
% 67.23/26.51 |
% 67.23/26.51 | From (611) and (517) follows:
% 67.23/26.51 | (612) equalelemsP(all_0_14_14) = 0
% 67.23/26.51 |
% 67.23/26.51 +-Applying beta-rule and splitting (511), into two cases.
% 67.23/26.51 |-Branch one:
% 67.23/26.51 | (613) ~ (all_352_1_139 = 0)
% 67.23/26.51 |
% 67.23/26.51 | Equations (558) can reduce 613 to:
% 67.23/26.51 | (274) $false
% 67.23/26.51 |
% 67.23/26.51 |-The branch is then unsatisfiable
% 67.23/26.51 |-Branch two:
% 67.23/26.51 | (558) all_352_1_139 = 0
% 67.23/26.51 | (616) all_352_0_138 = all_120_1_50
% 67.23/26.51 |
% 67.23/26.51 | Combining equations (552,616) yields a new equation:
% 67.23/26.51 | (617) all_120_1_50 = nil
% 67.23/26.51 |
% 67.23/26.51 | From (617) and (356) follows:
% 67.23/26.51 | (41) ssList(nil) = 0
% 67.23/26.51 |
% 67.23/26.51 | From (617) and (601) follows:
% 67.23/26.51 | (80) cons(all_0_8_8, nil) = all_0_7_7
% 67.23/26.51 |
% 67.23/26.51 +-Applying beta-rule and splitting (495), into two cases.
% 67.23/26.51 |-Branch one:
% 67.23/26.51 | (620) ~ (equalelemsP(all_0_14_14) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (612) and (620) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (612) equalelemsP(all_0_14_14) = 0
% 67.23/26.52 | (623) all_261_0_59 = all_0_8_8 | ? [v0] : (( ~ (v0 = 0) & ssList(all_261_1_60) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (623), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (624) all_261_0_59 = all_0_8_8
% 67.23/26.52 |
% 67.23/26.52 | From (624) and (479) follows:
% 67.23/26.52 | (625) cons(all_0_8_8, all_261_1_60) = all_0_3_3
% 67.23/26.52 |
% 67.23/26.52 | From (624) and (480) follows:
% 67.23/26.52 | (9) ssItem(all_0_8_8) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (543), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (627) ~ (all_372_1_159 = 0)
% 67.23/26.52 |
% 67.23/26.52 | Equations (591) can reduce 627 to:
% 67.23/26.52 | (274) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (591) all_372_1_159 = 0
% 67.23/26.52 | (630) all_372_0_158 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (630) and (541) follows:
% 67.23/26.52 | (631) duplicatefreeP(all_0_14_14) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (231), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (632) ~ (ssList(all_0_7_7) = all_9_0_19)
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (632) follows:
% 67.23/26.52 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (284) and (633) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (635) ssList(all_0_7_7) = all_9_0_19
% 67.23/26.52 | (636) all_21_0_31 = all_9_0_19
% 67.23/26.52 |
% 67.23/26.52 | Combining equations (281,636) yields a new equation:
% 67.23/26.52 | (288) all_9_0_19 = 0
% 67.23/26.52 |
% 67.23/26.52 | Combining equations (288,636) yields a new equation:
% 67.23/26.52 | (281) all_21_0_31 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (635) follows:
% 67.23/26.52 | (284) ssList(all_0_7_7) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (229), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (640) ~ (ssList(all_0_14_14) = all_21_0_31)
% 67.23/26.52 |
% 67.23/26.52 | From (281) and (640) follows:
% 67.23/26.52 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (141) and (641) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (643) ssList(all_0_14_14) = all_21_0_31
% 67.23/26.52 | (281) all_21_0_31 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (281) and (643) follows:
% 67.23/26.52 | (141) ssList(all_0_14_14) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (233), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (646) ~ (ssList(all_0_13_13) = all_9_1_20)
% 67.23/26.52 |
% 67.23/26.52 | From (283) and (646) follows:
% 67.23/26.52 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (63) and (647) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (649) ssList(all_0_13_13) = all_9_1_20
% 67.23/26.52 | (283) all_9_1_20 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (283) and (649) follows:
% 67.23/26.52 | (63) ssList(all_0_13_13) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (232), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (284) and (633) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (284) ssList(all_0_7_7) = 0
% 67.23/26.52 | (283) all_9_1_20 = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (228), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (656) ~ (ssList(all_0_13_13) = all_21_0_31)
% 67.23/26.52 |
% 67.23/26.52 | From (281) and (656) follows:
% 67.23/26.52 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (63) and (647) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (659) ssList(all_0_13_13) = all_21_0_31
% 67.23/26.52 | (281) all_21_0_31 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (281) and (659) follows:
% 67.23/26.52 | (63) ssList(all_0_13_13) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (223), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (662) ~ (ssList(all_0_6_6) = all_9_0_19)
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (662) follows:
% 67.23/26.52 | (663) ~ (ssList(all_0_6_6) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (138) and (663) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (665) ssList(all_0_6_6) = all_9_0_19
% 67.23/26.52 | (288) all_9_0_19 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (665) follows:
% 67.23/26.52 | (138) ssList(all_0_6_6) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (230), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (668) ~ (ssList(nil) = all_21_0_31)
% 67.23/26.52 |
% 67.23/26.52 | From (281) and (668) follows:
% 67.23/26.52 | (669) ~ (ssList(nil) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (41) and (669) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (671) ssList(nil) = all_21_0_31
% 67.23/26.52 | (281) all_21_0_31 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (281) and (671) follows:
% 67.23/26.52 | (41) ssList(nil) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (236), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (632) ~ (ssList(all_0_7_7) = all_9_0_19)
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (632) follows:
% 67.23/26.52 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (284) and (633) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (635) ssList(all_0_7_7) = all_9_0_19
% 67.23/26.52 | (678) all_9_0_19 = all_9_1_20
% 67.23/26.52 |
% 67.23/26.52 | Combining equations (288,678) yields a new equation:
% 67.23/26.52 | (283) all_9_1_20 = 0
% 67.23/26.52 |
% 67.23/26.52 | Combining equations (283,678) yields a new equation:
% 67.23/26.52 | (288) all_9_0_19 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (635) follows:
% 67.23/26.52 | (284) ssList(all_0_7_7) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (226), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (682) ~ (ssList(nil) = all_9_0_19)
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (682) follows:
% 67.23/26.52 | (669) ~ (ssList(nil) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (41) and (669) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (685) ssList(nil) = all_9_0_19
% 67.23/26.52 | (288) all_9_0_19 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (685) follows:
% 67.23/26.52 | (41) ssList(nil) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (235), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (688) ~ (ssList(nil) = all_9_1_20)
% 67.23/26.52 |
% 67.23/26.52 | From (283) and (688) follows:
% 67.23/26.52 | (669) ~ (ssList(nil) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (41) and (669) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (691) ssList(nil) = all_9_1_20
% 67.23/26.52 | (283) all_9_1_20 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (283) and (691) follows:
% 67.23/26.52 | (41) ssList(nil) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (234), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (694) ~ (ssList(all_0_14_14) = all_9_1_20)
% 67.23/26.52 |
% 67.23/26.52 | From (283) and (694) follows:
% 67.23/26.52 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.23/26.52 |
% 67.23/26.52 | Using (141) and (641) yields:
% 67.23/26.52 | (621) $false
% 67.23/26.52 |
% 67.23/26.52 |-The branch is then unsatisfiable
% 67.23/26.52 |-Branch two:
% 67.23/26.52 | (697) ssList(all_0_14_14) = all_9_1_20
% 67.23/26.52 | (283) all_9_1_20 = 0
% 67.23/26.52 |
% 67.23/26.52 | From (283) and (697) follows:
% 67.23/26.52 | (141) ssList(all_0_14_14) = 0
% 67.23/26.52 |
% 67.23/26.52 +-Applying beta-rule and splitting (225), into two cases.
% 67.23/26.52 |-Branch one:
% 67.23/26.52 | (700) ~ (ssList(all_0_14_14) = all_9_0_19)
% 67.23/26.52 |
% 67.23/26.52 | From (288) and (700) follows:
% 67.23/26.52 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (141) and (641) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (703) ssList(all_0_14_14) = all_9_0_19
% 67.23/26.53 | (288) all_9_0_19 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (288) and (703) follows:
% 67.23/26.53 | (141) ssList(all_0_14_14) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (224), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (706) ~ (ssList(all_0_13_13) = all_9_0_19)
% 67.23/26.53 |
% 67.23/26.53 | From (288) and (706) follows:
% 67.23/26.53 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (63) and (647) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (709) ssList(all_0_13_13) = all_9_0_19
% 67.23/26.53 | (288) all_9_0_19 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (288) and (709) follows:
% 67.23/26.53 | (63) ssList(all_0_13_13) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (222), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (712) ~ (ssList(all_0_5_5) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (289) and (712) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (289) ssList(all_0_5_5) = 0
% 67.23/26.53 | (288) all_9_0_19 = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (227), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (284) and (633) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (284) ssList(all_0_7_7) = 0
% 67.23/26.53 | (281) all_21_0_31 = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (308), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (720) ~ (ssList(all_0_13_13) = all_8_2_18)
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (720) follows:
% 67.23/26.53 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (63) and (647) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (723) ssList(all_0_13_13) = all_8_2_18
% 67.23/26.53 | (294) all_8_2_18 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (723) follows:
% 67.23/26.53 | (63) ssList(all_0_13_13) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (309), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (726) ~ (ssList(all_0_14_14) = all_8_2_18)
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (726) follows:
% 67.23/26.53 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (141) and (641) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (729) ssList(all_0_14_14) = all_8_2_18
% 67.23/26.53 | (294) all_8_2_18 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (729) follows:
% 67.23/26.53 | (141) ssList(all_0_14_14) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (311), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (732) ~ (ssList(all_0_5_5) = all_8_2_18)
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (732) follows:
% 67.23/26.53 | (712) ~ (ssList(all_0_5_5) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (289) and (712) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (735) ssList(all_0_5_5) = all_8_2_18
% 67.23/26.53 | (294) all_8_2_18 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (735) follows:
% 67.23/26.53 | (289) ssList(all_0_5_5) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (310), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (738) ~ (ssList(nil) = all_8_2_18)
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (738) follows:
% 67.23/26.53 | (669) ~ (ssList(nil) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (41) and (669) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (741) ssList(nil) = all_8_2_18
% 67.23/26.53 | (294) all_8_2_18 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (741) follows:
% 67.23/26.53 | (41) ssList(nil) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (307), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (744) ~ (ssList(all_0_6_6) = all_8_2_18)
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (744) follows:
% 67.23/26.53 | (663) ~ (ssList(all_0_6_6) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (138) and (663) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (747) ssList(all_0_6_6) = all_8_2_18
% 67.23/26.53 | (294) all_8_2_18 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (747) follows:
% 67.23/26.53 | (138) ssList(all_0_6_6) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (312), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (750) ~ (ssList(all_0_7_7) = all_8_2_18)
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (750) follows:
% 67.23/26.53 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (284) and (633) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (293) ssList(all_0_7_7) = all_8_2_18
% 67.23/26.53 | (294) all_8_2_18 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (294) and (293) follows:
% 67.23/26.53 | (284) ssList(all_0_7_7) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (370), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (756) ~ (ssList(all_0_5_5) = all_112_1_46)
% 67.23/26.53 |
% 67.23/26.53 | From (428) and (756) follows:
% 67.23/26.53 | (712) ~ (ssList(all_0_5_5) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (289) and (712) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (759) ssList(all_0_5_5) = all_112_1_46
% 67.23/26.53 | (428) all_112_1_46 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (428) and (759) follows:
% 67.23/26.53 | (289) ssList(all_0_5_5) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (379), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (762) ~ (ssList(all_0_6_6) = all_108_0_41)
% 67.23/26.53 |
% 67.23/26.53 | From (427) and (762) follows:
% 67.23/26.53 | (663) ~ (ssList(all_0_6_6) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (138) and (663) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (765) ssList(all_0_6_6) = all_108_0_41
% 67.23/26.53 | (427) all_108_0_41 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (427) and (765) follows:
% 67.23/26.53 | (138) ssList(all_0_6_6) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (371), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (768) ~ (ssList(all_0_6_6) = all_112_1_46)
% 67.23/26.53 |
% 67.23/26.53 | From (428) and (768) follows:
% 67.23/26.53 | (663) ~ (ssList(all_0_6_6) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (138) and (663) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (771) ssList(all_0_6_6) = all_112_1_46
% 67.23/26.53 | (428) all_112_1_46 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (428) and (771) follows:
% 67.23/26.53 | (138) ssList(all_0_6_6) = 0
% 67.23/26.53 |
% 67.23/26.53 +-Applying beta-rule and splitting (373), into two cases.
% 67.23/26.53 |-Branch one:
% 67.23/26.53 | (774) ~ (ssList(all_0_13_13) = all_112_1_46)
% 67.23/26.53 |
% 67.23/26.53 | From (428) and (774) follows:
% 67.23/26.53 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.23/26.53 |
% 67.23/26.53 | Using (63) and (647) yields:
% 67.23/26.53 | (621) $false
% 67.23/26.53 |
% 67.23/26.53 |-The branch is then unsatisfiable
% 67.23/26.53 |-Branch two:
% 67.23/26.53 | (777) ssList(all_0_13_13) = all_112_1_46
% 67.23/26.53 | (428) all_112_1_46 = 0
% 67.23/26.53 |
% 67.23/26.53 | From (428) and (777) follows:
% 67.23/26.54 | (63) ssList(all_0_13_13) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (384), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (780) ~ (ssList(all_8_1_17) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (429) and (780) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (429) ssList(all_8_1_17) = 0
% 67.23/26.54 | (427) all_108_0_41 = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (375), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (784) ~ (ssList(nil) = all_112_1_46)
% 67.23/26.54 |
% 67.23/26.54 | From (428) and (784) follows:
% 67.23/26.54 | (669) ~ (ssList(nil) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (41) and (669) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (787) ssList(nil) = all_112_1_46
% 67.23/26.54 | (428) all_112_1_46 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (428) and (787) follows:
% 67.23/26.54 | (41) ssList(nil) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (397), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (790) ~ (ssList(all_0_14_14) = all_114_1_48)
% 67.23/26.54 |
% 67.23/26.54 | From (395) and (790) follows:
% 67.23/26.54 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (141) and (641) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (793) ssList(all_0_14_14) = all_114_1_48
% 67.23/26.54 | (395) all_114_1_48 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (395) and (793) follows:
% 67.23/26.54 | (141) ssList(all_0_14_14) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (399), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (796) ~ (ssList(all_0_7_7) = all_108_0_41)
% 67.23/26.54 |
% 67.23/26.54 | From (427) and (796) follows:
% 67.23/26.54 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (284) and (633) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (799) ssList(all_0_7_7) = all_108_0_41
% 67.23/26.54 | (800) all_114_1_48 = all_108_0_41
% 67.23/26.54 |
% 67.23/26.54 | Combining equations (395,800) yields a new equation:
% 67.23/26.54 | (427) all_108_0_41 = 0
% 67.23/26.54 |
% 67.23/26.54 | Combining equations (427,800) yields a new equation:
% 67.23/26.54 | (395) all_114_1_48 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (427) and (799) follows:
% 67.23/26.54 | (284) ssList(all_0_7_7) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (390), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (804) ~ (ssList(all_0_13_13) = all_108_1_42)
% 67.23/26.54 |
% 67.23/26.54 | From (386) and (804) follows:
% 67.23/26.54 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (63) and (647) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (807) ssList(all_0_13_13) = all_108_1_42
% 67.23/26.54 | (386) all_108_1_42 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (386) and (807) follows:
% 67.23/26.54 | (63) ssList(all_0_13_13) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (383), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (810) ~ (ssList(nil) = all_108_0_41)
% 67.23/26.54 |
% 67.23/26.54 | From (427) and (810) follows:
% 67.23/26.54 | (669) ~ (ssList(nil) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (41) and (669) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (813) ssList(nil) = all_108_0_41
% 67.23/26.54 | (427) all_108_0_41 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (427) and (813) follows:
% 67.23/26.54 | (41) ssList(nil) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (402), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (816) ~ (ssList(nil) = all_112_0_45)
% 67.23/26.54 |
% 67.23/26.54 | From (401) and (816) follows:
% 67.23/26.54 | (669) ~ (ssList(nil) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (41) and (669) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (819) ssList(nil) = all_112_0_45
% 67.23/26.54 | (401) all_112_0_45 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (401) and (819) follows:
% 67.23/26.54 | (41) ssList(nil) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (380), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (796) ~ (ssList(all_0_7_7) = all_108_0_41)
% 67.23/26.54 |
% 67.23/26.54 | From (427) and (796) follows:
% 67.23/26.54 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (284) and (633) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (799) ssList(all_0_7_7) = all_108_0_41
% 67.23/26.54 | (427) all_108_0_41 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (427) and (799) follows:
% 67.23/26.54 | (284) ssList(all_0_7_7) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (369), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (828) ~ (ssList(all_0_3_3) = all_112_1_46)
% 67.23/26.54 |
% 67.23/26.54 | From (428) and (828) follows:
% 67.23/26.54 | (829) ~ (ssList(all_0_3_3) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (111) and (829) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (831) ssList(all_0_3_3) = all_112_1_46
% 67.23/26.54 | (428) all_112_1_46 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (428) and (831) follows:
% 67.23/26.54 | (111) ssList(all_0_3_3) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (381), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (834) ~ (ssList(all_0_13_13) = all_108_0_41)
% 67.23/26.54 |
% 67.23/26.54 | From (427) and (834) follows:
% 67.23/26.54 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (63) and (647) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (837) ssList(all_0_13_13) = all_108_0_41
% 67.23/26.54 | (427) all_108_0_41 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (427) and (837) follows:
% 67.23/26.54 | (63) ssList(all_0_13_13) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (372), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (840) ~ (ssList(all_0_7_7) = all_112_1_46)
% 67.23/26.54 |
% 67.23/26.54 | From (428) and (840) follows:
% 67.23/26.54 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (284) and (633) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (843) ssList(all_0_7_7) = all_112_1_46
% 67.23/26.54 | (428) all_112_1_46 = 0
% 67.23/26.54 |
% 67.23/26.54 | From (428) and (843) follows:
% 67.23/26.54 | (284) ssList(all_0_7_7) = 0
% 67.23/26.54 |
% 67.23/26.54 +-Applying beta-rule and splitting (388), into two cases.
% 67.23/26.54 |-Branch one:
% 67.23/26.54 | (846) ~ (ssList(all_0_6_6) = all_108_1_42)
% 67.23/26.54 |
% 67.23/26.54 | From (386) and (846) follows:
% 67.23/26.54 | (663) ~ (ssList(all_0_6_6) = 0)
% 67.23/26.54 |
% 67.23/26.54 | Using (138) and (663) yields:
% 67.23/26.54 | (621) $false
% 67.23/26.54 |
% 67.23/26.54 |-The branch is then unsatisfiable
% 67.23/26.54 |-Branch two:
% 67.23/26.54 | (849) ssList(all_0_6_6) = all_108_1_42
% 67.23/26.55 | (386) all_108_1_42 = 0
% 67.23/26.55 |
% 67.23/26.55 | From (386) and (849) follows:
% 67.23/26.55 | (138) ssList(all_0_6_6) = 0
% 67.23/26.55 |
% 67.23/26.55 +-Applying beta-rule and splitting (396), into two cases.
% 67.23/26.55 |-Branch one:
% 67.23/26.55 | (852) ~ (ssList(all_0_13_13) = all_114_1_48)
% 67.23/26.55 |
% 67.23/26.55 | From (395) and (852) follows:
% 67.23/26.55 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.23/26.55 |
% 67.23/26.55 | Using (63) and (647) yields:
% 67.23/26.55 | (621) $false
% 67.23/26.55 |
% 67.23/26.55 |-The branch is then unsatisfiable
% 67.23/26.55 |-Branch two:
% 67.23/26.55 | (855) ssList(all_0_13_13) = all_114_1_48
% 67.23/26.55 | (395) all_114_1_48 = 0
% 67.23/26.55 |
% 67.23/26.55 | From (395) and (855) follows:
% 67.23/26.55 | (63) ssList(all_0_13_13) = 0
% 67.23/26.55 |
% 67.23/26.55 +-Applying beta-rule and splitting (392), into two cases.
% 67.23/26.55 |-Branch one:
% 67.23/26.55 | (858) ~ (ssList(nil) = all_108_1_42)
% 67.23/26.55 |
% 67.23/26.55 | From (386) and (858) follows:
% 67.23/26.55 | (669) ~ (ssList(nil) = 0)
% 67.23/26.55 |
% 67.23/26.55 | Using (41) and (669) yields:
% 67.23/26.55 | (621) $false
% 67.23/26.55 |
% 67.23/26.55 |-The branch is then unsatisfiable
% 67.23/26.55 |-Branch two:
% 67.23/26.55 | (861) ssList(nil) = all_108_1_42
% 67.23/26.55 | (386) all_108_1_42 = 0
% 67.23/26.55 |
% 67.23/26.55 | From (386) and (861) follows:
% 67.23/26.55 | (41) ssList(nil) = 0
% 67.23/26.55 |
% 67.23/26.55 +-Applying beta-rule and splitting (404), into two cases.
% 67.23/26.55 |-Branch one:
% 67.23/26.55 | (864) ~ (ssList(all_0_14_14) = all_108_0_41)
% 67.23/26.55 |
% 67.23/26.55 | From (427) and (864) follows:
% 67.23/26.55 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.23/26.55 |
% 67.23/26.55 | Using (141) and (641) yields:
% 67.23/26.55 | (621) $false
% 67.23/26.55 |
% 67.23/26.55 |-The branch is then unsatisfiable
% 67.23/26.55 |-Branch two:
% 67.23/26.55 | (867) ssList(all_0_14_14) = all_108_0_41
% 67.23/26.55 | (868) all_112_0_45 = all_108_0_41
% 67.23/26.55 |
% 67.23/26.55 | Combining equations (401,868) yields a new equation:
% 67.23/26.55 | (427) all_108_0_41 = 0
% 67.23/26.55 |
% 67.23/26.55 | Combining equations (427,868) yields a new equation:
% 67.23/26.55 | (401) all_112_0_45 = 0
% 67.23/26.55 |
% 67.23/26.55 | From (427) and (867) follows:
% 67.23/26.55 | (141) ssList(all_0_14_14) = 0
% 67.23/26.55 |
% 67.23/26.55 +-Applying beta-rule and splitting (393), into two cases.
% 67.23/26.55 |-Branch one:
% 67.23/26.55 | (828) ~ (ssList(all_0_3_3) = all_112_1_46)
% 67.23/26.55 |
% 67.23/26.55 | From (428) and (828) follows:
% 67.23/26.55 | (829) ~ (ssList(all_0_3_3) = 0)
% 67.23/26.55 |
% 67.23/26.55 | Using (111) and (829) yields:
% 67.23/26.55 | (621) $false
% 67.23/26.55 |
% 67.23/26.55 |-The branch is then unsatisfiable
% 67.23/26.55 |-Branch two:
% 67.23/26.55 | (831) ssList(all_0_3_3) = all_112_1_46
% 67.23/26.55 | (876) all_112_1_46 = all_108_1_42
% 67.23/26.55 |
% 67.23/26.55 | From (428) and (831) follows:
% 67.23/26.55 | (111) ssList(all_0_3_3) = 0
% 67.23/26.55 |
% 67.23/26.55 +-Applying beta-rule and splitting (394), into two cases.
% 67.23/26.55 |-Branch one:
% 67.23/26.55 | (878) ~ (ssList(all_0_3_3) = all_108_0_41)
% 67.23/26.55 |
% 67.23/26.55 | From (427) and (878) follows:
% 67.23/26.55 | (829) ~ (ssList(all_0_3_3) = 0)
% 67.23/26.55 |
% 67.23/26.55 | Using (111) and (829) yields:
% 67.23/26.55 | (621) $false
% 67.23/26.55 |
% 67.23/26.55 |-The branch is then unsatisfiable
% 67.23/26.55 |-Branch two:
% 67.23/26.55 | (881) ssList(all_0_3_3) = all_108_0_41
% 67.23/26.55 | (882) all_108_0_41 = all_108_1_42
% 67.23/26.55 |
% 67.23/26.55 | Combining equations (427,882) yields a new equation:
% 67.23/26.55 | (386) all_108_1_42 = 0
% 67.23/26.55 |
% 67.23/26.55 | Combining equations (386,882) yields a new equation:
% 67.23/26.55 | (427) all_108_0_41 = 0
% 67.23/26.55 |
% 67.23/26.55 | From (427) and (881) follows:
% 67.23/26.55 | (111) ssList(all_0_3_3) = 0
% 67.23/26.55 |
% 67.23/26.55 +-Applying beta-rule and splitting (377), into two cases.
% 67.23/26.55 |-Branch one:
% 67.23/26.55 | (878) ~ (ssList(all_0_3_3) = all_108_0_41)
% 67.23/26.55 |
% 67.23/26.55 | From (427) and (878) follows:
% 67.23/26.55 | (829) ~ (ssList(all_0_3_3) = 0)
% 67.23/26.55 |
% 67.23/26.55 | Using (111) and (829) yields:
% 67.23/26.55 | (621) $false
% 67.23/26.55 |
% 67.23/26.55 |-The branch is then unsatisfiable
% 67.23/26.55 |-Branch two:
% 67.23/26.55 | (881) ssList(all_0_3_3) = all_108_0_41
% 67.23/26.55 | (427) all_108_0_41 = 0
% 67.23/26.55 |
% 67.23/26.55 +-Applying beta-rule and splitting (400), into two cases.
% 67.23/26.55 |-Branch one:
% 67.23/26.55 | (891) ~ (ssList(all_0_7_7) = all_108_1_42)
% 67.23/26.55 |
% 67.23/26.55 | From (386) and (891) follows:
% 67.23/26.55 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.23/26.55 |
% 67.23/26.55 | Using (284) and (633) yields:
% 67.23/26.55 | (621) $false
% 67.23/26.55 |
% 67.23/26.55 |-The branch is then unsatisfiable
% 67.23/26.55 |-Branch two:
% 67.23/26.55 | (894) ssList(all_0_7_7) = all_108_1_42
% 67.23/26.55 | (895) all_114_1_48 = all_108_1_42
% 67.23/26.55 |
% 67.23/26.55 | Combining equations (395,895) yields a new equation:
% 67.23/26.55 | (386) all_108_1_42 = 0
% 67.23/26.55 |
% 67.23/26.55 | Combining equations (386,895) yields a new equation:
% 67.23/26.55 | (395) all_114_1_48 = 0
% 67.23/26.55 |
% 67.23/26.55 | From (386) and (894) follows:
% 67.63/26.55 | (284) ssList(all_0_7_7) = 0
% 67.63/26.55 |
% 67.63/26.55 +-Applying beta-rule and splitting (378), into two cases.
% 67.63/26.55 |-Branch one:
% 67.63/26.55 | (899) ~ (ssList(all_0_5_5) = all_108_0_41)
% 67.63/26.55 |
% 67.63/26.55 | From (427) and (899) follows:
% 67.63/26.55 | (712) ~ (ssList(all_0_5_5) = 0)
% 67.63/26.55 |
% 67.63/26.55 | Using (289) and (712) yields:
% 67.63/26.55 | (621) $false
% 67.63/26.55 |
% 67.63/26.55 |-The branch is then unsatisfiable
% 67.63/26.55 |-Branch two:
% 67.63/26.55 | (902) ssList(all_0_5_5) = all_108_0_41
% 67.63/26.55 | (427) all_108_0_41 = 0
% 67.63/26.55 |
% 67.63/26.55 | From (427) and (902) follows:
% 67.63/26.55 | (289) ssList(all_0_5_5) = 0
% 67.63/26.55 |
% 67.63/26.55 +-Applying beta-rule and splitting (382), into two cases.
% 67.63/26.55 |-Branch one:
% 67.63/26.55 | (864) ~ (ssList(all_0_14_14) = all_108_0_41)
% 67.63/26.55 |
% 67.63/26.55 | From (427) and (864) follows:
% 67.63/26.55 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.63/26.55 |
% 67.63/26.55 | Using (141) and (641) yields:
% 67.63/26.55 | (621) $false
% 67.63/26.55 |
% 67.63/26.55 |-The branch is then unsatisfiable
% 67.63/26.55 |-Branch two:
% 67.63/26.55 | (867) ssList(all_0_14_14) = all_108_0_41
% 67.63/26.55 | (427) all_108_0_41 = 0
% 67.63/26.55 |
% 67.63/26.55 | From (427) and (867) follows:
% 67.63/26.55 | (141) ssList(all_0_14_14) = 0
% 67.63/26.55 |
% 67.63/26.55 +-Applying beta-rule and splitting (398), into two cases.
% 67.63/26.55 |-Branch one:
% 67.63/26.55 | (840) ~ (ssList(all_0_7_7) = all_112_1_46)
% 67.63/26.55 |
% 67.63/26.55 | From (428) and (840) follows:
% 67.63/26.55 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.63/26.55 |
% 67.63/26.55 | Using (284) and (633) yields:
% 67.63/26.55 | (621) $false
% 67.63/26.55 |
% 67.63/26.55 |-The branch is then unsatisfiable
% 67.63/26.55 |-Branch two:
% 67.63/26.55 | (843) ssList(all_0_7_7) = all_112_1_46
% 67.63/26.55 | (915) all_114_1_48 = all_112_1_46
% 67.63/26.56 |
% 67.63/26.56 | Combining equations (395,915) yields a new equation:
% 67.63/26.56 | (428) all_112_1_46 = 0
% 67.63/26.56 |
% 67.63/26.56 | Combining equations (428,915) yields a new equation:
% 67.63/26.56 | (395) all_114_1_48 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (428) and (843) follows:
% 67.63/26.56 | (284) ssList(all_0_7_7) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (389), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (891) ~ (ssList(all_0_7_7) = all_108_1_42)
% 67.63/26.56 |
% 67.63/26.56 | From (386) and (891) follows:
% 67.63/26.56 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (284) and (633) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (894) ssList(all_0_7_7) = all_108_1_42
% 67.63/26.56 | (386) all_108_1_42 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (386) and (894) follows:
% 67.63/26.56 | (284) ssList(all_0_7_7) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (374), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (925) ~ (ssList(all_0_14_14) = all_112_1_46)
% 67.63/26.56 |
% 67.63/26.56 | From (428) and (925) follows:
% 67.63/26.56 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (141) and (641) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (928) ssList(all_0_14_14) = all_112_1_46
% 67.63/26.56 | (428) all_112_1_46 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (428) and (928) follows:
% 67.63/26.56 | (141) ssList(all_0_14_14) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (403), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (925) ~ (ssList(all_0_14_14) = all_112_1_46)
% 67.63/26.56 |
% 67.63/26.56 | From (428) and (925) follows:
% 67.63/26.56 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (141) and (641) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (928) ssList(all_0_14_14) = all_112_1_46
% 67.63/26.56 | (935) all_112_0_45 = all_112_1_46
% 67.63/26.56 |
% 67.63/26.56 | Combining equations (401,935) yields a new equation:
% 67.63/26.56 | (428) all_112_1_46 = 0
% 67.63/26.56 |
% 67.63/26.56 | Combining equations (428,935) yields a new equation:
% 67.63/26.56 | (401) all_112_0_45 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (428) and (928) follows:
% 67.63/26.56 | (141) ssList(all_0_14_14) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (387), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (939) ~ (ssList(all_0_5_5) = all_108_1_42)
% 67.63/26.56 |
% 67.63/26.56 | From (386) and (939) follows:
% 67.63/26.56 | (712) ~ (ssList(all_0_5_5) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (289) and (712) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (942) ssList(all_0_5_5) = all_108_1_42
% 67.63/26.56 | (386) all_108_1_42 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (386) and (942) follows:
% 67.63/26.56 | (289) ssList(all_0_5_5) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (405), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (945) ~ (ssList(all_0_14_14) = all_108_1_42)
% 67.63/26.56 |
% 67.63/26.56 | From (386) and (945) follows:
% 67.63/26.56 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (141) and (641) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (948) ssList(all_0_14_14) = all_108_1_42
% 67.63/26.56 | (949) all_112_0_45 = all_108_1_42
% 67.63/26.56 |
% 67.63/26.56 | Combining equations (401,949) yields a new equation:
% 67.63/26.56 | (386) all_108_1_42 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (386) and (948) follows:
% 67.63/26.56 | (141) ssList(all_0_14_14) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (406), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (790) ~ (ssList(all_0_14_14) = all_114_1_48)
% 67.63/26.56 |
% 67.63/26.56 | From (395) and (790) follows:
% 67.63/26.56 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (141) and (641) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (793) ssList(all_0_14_14) = all_114_1_48
% 67.63/26.56 | (956) all_114_1_48 = all_112_0_45
% 67.63/26.56 |
% 67.63/26.56 | From (395) and (793) follows:
% 67.63/26.56 | (141) ssList(all_0_14_14) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (391), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (945) ~ (ssList(all_0_14_14) = all_108_1_42)
% 67.63/26.56 |
% 67.63/26.56 | From (386) and (945) follows:
% 67.63/26.56 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (141) and (641) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (948) ssList(all_0_14_14) = all_108_1_42
% 67.63/26.56 | (386) all_108_1_42 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (386) and (948) follows:
% 67.63/26.56 | (141) ssList(all_0_14_14) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (444), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (964) ~ (ssList(all_0_14_14) = all_130_1_54)
% 67.63/26.56 |
% 67.63/26.56 | From (418) and (964) follows:
% 67.63/26.56 | (641) ~ (ssList(all_0_14_14) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (141) and (641) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (967) ssList(all_0_14_14) = all_130_1_54
% 67.63/26.56 | (418) all_130_1_54 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (418) and (967) follows:
% 67.63/26.56 | (141) ssList(all_0_14_14) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (441), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (970) ~ (ssList(all_0_6_6) = all_130_1_54)
% 67.63/26.56 |
% 67.63/26.56 | From (418) and (970) follows:
% 67.63/26.56 | (663) ~ (ssList(all_0_6_6) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (138) and (663) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (973) ssList(all_0_6_6) = all_130_1_54
% 67.63/26.56 | (418) all_130_1_54 = 0
% 67.63/26.56 |
% 67.63/26.56 | From (418) and (973) follows:
% 67.63/26.56 | (138) ssList(all_0_6_6) = 0
% 67.63/26.56 |
% 67.63/26.56 +-Applying beta-rule and splitting (440), into two cases.
% 67.63/26.56 |-Branch one:
% 67.63/26.56 | (976) ~ (ssList(all_0_5_5) = all_130_1_54)
% 67.63/26.56 |
% 67.63/26.56 | From (418) and (976) follows:
% 67.63/26.56 | (712) ~ (ssList(all_0_5_5) = 0)
% 67.63/26.56 |
% 67.63/26.56 | Using (289) and (712) yields:
% 67.63/26.56 | (621) $false
% 67.63/26.56 |
% 67.63/26.56 |-The branch is then unsatisfiable
% 67.63/26.56 |-Branch two:
% 67.63/26.56 | (979) ssList(all_0_5_5) = all_130_1_54
% 67.63/26.57 | (418) all_130_1_54 = 0
% 67.63/26.57 |
% 67.63/26.57 +-Applying beta-rule and splitting (443), into two cases.
% 67.63/26.57 |-Branch one:
% 67.63/26.57 | (981) ~ (ssList(all_0_13_13) = all_130_1_54)
% 67.63/26.57 |
% 67.63/26.57 | From (418) and (981) follows:
% 67.63/26.57 | (647) ~ (ssList(all_0_13_13) = 0)
% 67.63/26.57 |
% 67.63/26.57 | Using (63) and (647) yields:
% 67.63/26.57 | (621) $false
% 67.63/26.57 |
% 67.63/26.57 |-The branch is then unsatisfiable
% 67.63/26.57 |-Branch two:
% 67.63/26.57 | (984) ssList(all_0_13_13) = all_130_1_54
% 67.63/26.57 | (418) all_130_1_54 = 0
% 67.63/26.57 |
% 67.63/26.57 +-Applying beta-rule and splitting (442), into two cases.
% 67.63/26.57 |-Branch one:
% 67.63/26.57 | (986) ~ (ssList(all_0_7_7) = all_130_1_54)
% 67.63/26.57 |
% 67.63/26.57 | From (418) and (986) follows:
% 67.63/26.57 | (633) ~ (ssList(all_0_7_7) = 0)
% 67.63/26.57 |
% 67.63/26.57 | Using (284) and (633) yields:
% 67.63/26.57 | (621) $false
% 67.63/26.57 |
% 67.63/26.57 |-The branch is then unsatisfiable
% 67.63/26.57 |-Branch two:
% 67.63/26.57 | (417) ssList(all_0_7_7) = all_130_1_54
% 67.63/26.57 | (418) all_130_1_54 = 0
% 67.63/26.57 |
% 67.63/26.57 +-Applying beta-rule and splitting (445), into two cases.
% 67.63/26.57 |-Branch one:
% 67.63/26.57 | (991) ~ (ssList(nil) = all_130_1_54)
% 67.63/26.57 |
% 67.63/26.57 | From (418) and (991) follows:
% 67.63/26.57 | (669) ~ (ssList(nil) = 0)
% 67.63/26.57 |
% 67.63/26.57 | Using (41) and (669) yields:
% 67.63/26.57 | (621) $false
% 67.63/26.57 |
% 67.63/26.57 |-The branch is then unsatisfiable
% 67.63/26.57 |-Branch two:
% 67.63/26.57 | (994) ssList(nil) = all_130_1_54
% 67.63/26.57 | (418) all_130_1_54 = 0
% 67.63/26.57 |
% 67.63/26.57 | From (418) and (994) follows:
% 67.63/26.57 | (41) ssList(nil) = 0
% 67.63/26.57 |
% 67.63/26.57 | Instantiating formula (130) with nil, all_0_14_14 and discharging atoms tl(all_0_14_14) = nil, yields:
% 67.63/26.57 | (997) ? [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))))))
% 67.63/26.57 |
% 67.63/26.57 | Instantiating formula (133) with all_0_3_3, all_261_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_261_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:
% 67.63/26.57 | (998) ? [v0] : (( ~ (v0 = 0) & ssList(all_261_1_60) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 67.63/26.57 |
% 67.63/26.57 | Instantiating (998) with all_1153_0_190 yields:
% 67.63/26.57 | (999) ( ~ (all_1153_0_190 = 0) & ssList(all_261_1_60) = all_1153_0_190) | ( ~ (all_1153_0_190 = 0) & ssList(all_0_14_14) = all_1153_0_190) | ( ~ (all_1153_0_190 = 0) & ssList(nil) = all_1153_0_190)
% 67.63/26.57 |
% 67.63/26.57 | Instantiating (997) with all_1158_0_195, all_1158_1_196 yields:
% 67.63/26.57 | (1000) hd(all_0_14_14) = all_1158_0_195 & ssList(all_0_14_14) = all_1158_1_196 & ( ~ (all_1158_1_196 = 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_1158_0_195) | ~ (v1 = 0)))))
% 67.63/26.57 |
% 67.63/26.57 | Applying alpha-rule on (1000) yields:
% 67.63/26.57 | (1001) hd(all_0_14_14) = all_1158_0_195
% 67.63/26.57 | (1002) ssList(all_0_14_14) = all_1158_1_196
% 67.63/26.57 | (1003) ~ (all_1158_1_196 = 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_1158_0_195) | ~ (v1 = 0))))
% 67.63/26.57 |
% 67.63/26.57 +-Applying beta-rule and splitting (999), into two cases.
% 67.63/26.57 |-Branch one:
% 67.63/26.57 | (1004) ( ~ (all_1153_0_190 = 0) & ssList(all_261_1_60) = all_1153_0_190) | ( ~ (all_1153_0_190 = 0) & ssList(all_0_14_14) = all_1153_0_190)
% 67.63/26.57 |
% 67.63/26.57 +-Applying beta-rule and splitting (1004), into two cases.
% 67.63/26.57 |-Branch one:
% 67.63/26.57 | (1005) ~ (all_1153_0_190 = 0) & ssList(all_261_1_60) = all_1153_0_190
% 67.63/26.57 |
% 67.63/26.57 | Applying alpha-rule on (1005) yields:
% 67.63/26.57 | (1006) ~ (all_1153_0_190 = 0)
% 67.63/26.57 | (1007) ssList(all_261_1_60) = all_1153_0_190
% 67.63/26.57 |
% 67.63/26.57 | Instantiating formula (117) with all_261_1_60, all_1153_0_190, 0 and discharging atoms ssList(all_261_1_60) = all_1153_0_190, ssList(all_261_1_60) = 0, yields:
% 67.63/26.57 | (1008) all_1153_0_190 = 0
% 67.63/26.57 |
% 67.63/26.57 | Equations (1008) can reduce 1006 to:
% 67.63/26.57 | (274) $false
% 67.63/26.57 |
% 67.63/26.57 |-The branch is then unsatisfiable
% 67.63/26.57 |-Branch two:
% 67.63/26.57 | (1010) ~ (all_1153_0_190 = 0) & ssList(all_0_14_14) = all_1153_0_190
% 67.63/26.57 |
% 67.63/26.57 | Applying alpha-rule on (1010) yields:
% 67.63/26.57 | (1006) ~ (all_1153_0_190 = 0)
% 67.63/26.57 | (1012) ssList(all_0_14_14) = all_1153_0_190
% 67.63/26.57 |
% 67.63/26.57 | Instantiating formula (117) with all_0_14_14, all_1158_1_196, 0 and discharging atoms ssList(all_0_14_14) = all_1158_1_196, ssList(all_0_14_14) = 0, yields:
% 67.63/26.57 | (1013) all_1158_1_196 = 0
% 67.63/26.57 |
% 67.63/26.57 | Instantiating formula (117) with all_0_14_14, all_1153_0_190, all_1158_1_196 and discharging atoms ssList(all_0_14_14) = all_1158_1_196, ssList(all_0_14_14) = all_1153_0_190, yields:
% 67.63/26.57 | (1014) all_1158_1_196 = all_1153_0_190
% 67.63/26.57 |
% 67.63/26.57 | Combining equations (1013,1014) yields a new equation:
% 67.63/26.57 | (1008) all_1153_0_190 = 0
% 67.63/26.57 |
% 67.63/26.57 | Equations (1008) can reduce 1006 to:
% 67.63/26.57 | (274) $false
% 67.63/26.57 |
% 67.63/26.57 |-The branch is then unsatisfiable
% 67.63/26.57 |-Branch two:
% 67.63/26.57 | (1017) ~ (all_1153_0_190 = 0) & ssList(nil) = all_1153_0_190
% 67.63/26.57 |
% 67.63/26.57 | Applying alpha-rule on (1017) yields:
% 67.63/26.57 | (1006) ~ (all_1153_0_190 = 0)
% 67.63/26.57 | (1019) ssList(nil) = all_1153_0_190
% 67.63/26.57 |
% 67.63/26.57 | Instantiating formula (117) with nil, all_1153_0_190, 0 and discharging atoms ssList(nil) = all_1153_0_190, ssList(nil) = 0, yields:
% 67.63/26.57 | (1008) all_1153_0_190 = 0
% 67.63/26.57 |
% 67.63/26.57 | Equations (1008) can reduce 1006 to:
% 67.63/26.57 | (274) $false
% 67.63/26.57 |
% 67.63/26.57 |-The branch is then unsatisfiable
% 67.63/26.58 |-Branch two:
% 67.63/26.58 | (1022) ~ (all_261_0_59 = all_0_8_8)
% 67.63/26.58 | (1023) ? [v0] : (( ~ (v0 = 0) & ssList(all_261_1_60) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 67.63/26.58 |
% 67.63/26.58 | Instantiating (1023) with all_532_0_239 yields:
% 67.63/26.58 | (1024) ( ~ (all_532_0_239 = 0) & ssList(all_261_1_60) = all_532_0_239) | ( ~ (all_532_0_239 = 0) & ssList(all_0_14_14) = all_532_0_239)
% 67.63/26.58 |
% 67.63/26.58 +-Applying beta-rule and splitting (1024), into two cases.
% 67.63/26.58 |-Branch one:
% 67.63/26.58 | (1025) ~ (all_532_0_239 = 0) & ssList(all_261_1_60) = all_532_0_239
% 67.63/26.58 |
% 67.63/26.58 | Applying alpha-rule on (1025) yields:
% 67.63/26.58 | (1026) ~ (all_532_0_239 = 0)
% 67.63/26.58 | (1027) ssList(all_261_1_60) = all_532_0_239
% 67.63/26.58 |
% 67.63/26.58 | Instantiating formula (117) with all_261_1_60, all_532_0_239, 0 and discharging atoms ssList(all_261_1_60) = all_532_0_239, ssList(all_261_1_60) = 0, yields:
% 67.63/26.58 | (1028) all_532_0_239 = 0
% 67.63/26.58 |
% 67.63/26.58 | Equations (1028) can reduce 1026 to:
% 67.63/26.58 | (274) $false
% 67.63/26.58 |
% 67.63/26.58 |-The branch is then unsatisfiable
% 67.63/26.58 |-Branch two:
% 67.63/26.58 | (1030) ~ (all_532_0_239 = 0) & ssList(all_0_14_14) = all_532_0_239
% 67.63/26.58 |
% 67.63/26.58 | Applying alpha-rule on (1030) yields:
% 67.63/26.58 | (1026) ~ (all_532_0_239 = 0)
% 67.63/26.58 | (1032) ssList(all_0_14_14) = all_532_0_239
% 67.63/26.58 |
% 67.63/26.58 | Instantiating formula (117) with all_0_14_14, all_532_0_239, 0 and discharging atoms ssList(all_0_14_14) = all_532_0_239, ssList(all_0_14_14) = 0, yields:
% 67.63/26.58 | (1028) all_532_0_239 = 0
% 67.63/26.58 |
% 67.63/26.58 | Equations (1028) can reduce 1026 to:
% 67.63/26.58 | (274) $false
% 67.63/26.58 |
% 67.63/26.58 |-The branch is then unsatisfiable
% 67.63/26.58 |-Branch two:
% 67.63/26.58 | (1035) app(all_0_5_5, nil) = all_0_14_14
% 67.63/26.58 | (1036) all_0_5_5 = all_0_14_14 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 67.63/26.58 |
% 67.63/26.58 +-Applying beta-rule and splitting (1036), into two cases.
% 67.63/26.58 |-Branch one:
% 67.63/26.58 | (1037) all_0_5_5 = all_0_14_14
% 67.63/26.58 |
% 67.63/26.58 | From (1037) and (289) follows:
% 67.63/26.58 | (141) ssList(all_0_14_14) = 0
% 67.63/26.58 |
% 67.63/26.58 | From (1037) and (20) follows:
% 67.63/26.58 | (1039) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 67.63/26.58 |
% 67.63/26.58 | From (1037) and (1035) follows:
% 67.63/26.58 | (1040) app(all_0_14_14, nil) = all_0_14_14
% 67.63/26.58 |
% 67.63/26.58 | From (1037) and (151) follows:
% 67.63/26.58 | (1041) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 67.63/26.58 |
% 67.63/26.58 +-Applying beta-rule and splitting (330), into two cases.
% 67.63/26.58 |-Branch one:
% 67.63/26.58 | (1042) ~ (app(all_0_6_6, all_0_7_7) = all_0_14_14)
% 67.63/26.58 |
% 67.63/26.58 | Using (1041) and (1042) yields:
% 67.63/26.58 | (621) $false
% 67.63/26.58 |
% 67.63/26.58 |-The branch is then unsatisfiable
% 67.63/26.58 |-Branch two:
% 67.63/26.58 | (1041) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 67.63/26.58 | (1045) 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))
% 67.63/26.58 |
% 67.63/26.58 +-Applying beta-rule and splitting (329), into two cases.
% 67.63/26.58 |-Branch one:
% 67.63/26.58 | (1046) ~ (app(all_0_14_14, all_0_3_3) = all_0_14_14)
% 67.63/26.58 |
% 67.63/26.58 | Using (1039) and (1046) yields:
% 67.63/26.58 | (621) $false
% 67.63/26.58 |
% 67.63/26.58 |-The branch is then unsatisfiable
% 67.63/26.58 |-Branch two:
% 67.63/26.58 | (1039) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 67.63/26.58 | (1049) ? [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)))
% 67.63/26.58 |
% 67.63/26.58 | Instantiating (1049) with all_268_0_240, all_268_1_241, all_268_2_242 yields:
% 67.63/26.58 | (1050) ( ~ (all_268_2_242 = 0) & ssList(all_8_1_17) = all_268_2_242) | (ssList(all_0_3_3) = all_268_2_242 & app(all_8_1_17, all_0_3_3) = all_268_1_241 & app(all_0_6_6, all_268_1_241) = all_268_0_240 & ( ~ (all_268_2_242 = 0) | all_268_0_240 = all_0_14_14))
% 67.63/26.58 |
% 67.63/26.58 +-Applying beta-rule and splitting (324), into two cases.
% 67.63/26.58 |-Branch one:
% 67.63/26.58 | (1046) ~ (app(all_0_14_14, all_0_3_3) = all_0_14_14)
% 67.63/26.58 |
% 67.63/26.59 | Using (1039) and (1046) yields:
% 67.63/26.59 | (621) $false
% 67.63/26.59 |
% 67.63/26.59 |-The branch is then unsatisfiable
% 67.63/26.59 |-Branch two:
% 67.63/26.59 | (1039) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 67.63/26.59 | (1054) ? [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)))
% 67.63/26.59 |
% 67.63/26.59 | Instantiating (1054) with all_272_0_243, all_272_1_244, all_272_2_245 yields:
% 67.63/26.59 | (1055) ( ~ (all_272_2_245 = 0) & ssList(all_0_3_3) = all_272_2_245) | (ssList(all_0_3_3) = all_272_2_245 & app(all_0_3_3, all_0_3_3) = all_272_1_244 & app(all_0_14_14, all_272_1_244) = all_272_0_243 & ( ~ (all_272_2_245 = 0) | all_272_0_243 = all_0_14_14))
% 67.63/26.59 |
% 67.63/26.59 +-Applying beta-rule and splitting (1050), into two cases.
% 67.63/26.59 |-Branch one:
% 67.63/26.59 | (1056) ~ (all_268_2_242 = 0) & ssList(all_8_1_17) = all_268_2_242
% 67.63/26.59 |
% 67.63/26.59 | Applying alpha-rule on (1056) yields:
% 67.63/26.59 | (1057) ~ (all_268_2_242 = 0)
% 67.63/26.59 | (1058) ssList(all_8_1_17) = all_268_2_242
% 67.63/26.59 |
% 67.63/26.59 | Instantiating formula (117) with all_8_1_17, all_268_2_242, 0 and discharging atoms ssList(all_8_1_17) = all_268_2_242, ssList(all_8_1_17) = 0, yields:
% 67.63/26.59 | (1059) all_268_2_242 = 0
% 67.63/26.59 |
% 67.63/26.59 | Equations (1059) can reduce 1057 to:
% 67.63/26.59 | (274) $false
% 67.63/26.59 |
% 67.63/26.59 |-The branch is then unsatisfiable
% 67.63/26.59 |-Branch two:
% 67.63/26.59 | (1061) ssList(all_0_3_3) = all_268_2_242 & app(all_8_1_17, all_0_3_3) = all_268_1_241 & app(all_0_6_6, all_268_1_241) = all_268_0_240 & ( ~ (all_268_2_242 = 0) | all_268_0_240 = all_0_14_14)
% 67.63/26.59 |
% 67.63/26.59 | Applying alpha-rule on (1061) yields:
% 67.63/26.59 | (1062) ssList(all_0_3_3) = all_268_2_242
% 67.63/26.59 | (1063) app(all_8_1_17, all_0_3_3) = all_268_1_241
% 67.63/26.59 | (1064) app(all_0_6_6, all_268_1_241) = all_268_0_240
% 67.63/26.59 | (1065) ~ (all_268_2_242 = 0) | all_268_0_240 = all_0_14_14
% 67.63/26.59 |
% 67.63/26.59 +-Applying beta-rule and splitting (1045), into two cases.
% 67.63/26.59 |-Branch one:
% 67.63/26.59 | (1066) all_8_1_17 = all_0_7_7
% 67.63/26.59 |
% 67.63/26.59 | From (1066) and (299) follows:
% 67.63/26.59 | (1067) app(all_0_7_7, all_0_3_3) = all_0_7_7
% 67.63/26.59 |
% 67.63/26.59 +-Applying beta-rule and splitting (333), into two cases.
% 67.63/26.59 |-Branch one:
% 67.63/26.59 | (1068) ~ (app(all_0_7_7, all_0_3_3) = all_0_7_7)
% 67.63/26.59 |
% 67.63/26.59 | Using (1067) and (1068) yields:
% 67.63/26.59 | (621) $false
% 67.63/26.59 |
% 67.63/26.59 |-The branch is then unsatisfiable
% 67.63/26.59 |-Branch two:
% 67.63/26.59 | (1067) app(all_0_7_7, all_0_3_3) = all_0_7_7
% 67.63/26.59 | (1071) ? [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)))
% 67.63/26.59 |
% 67.63/26.59 | Instantiating (1071) with all_285_0_246, all_285_1_247, all_285_2_248 yields:
% 67.63/26.59 | (1072) ( ~ (all_285_2_248 = 0) & ssList(all_0_3_3) = all_285_2_248) | (ssList(all_0_3_3) = all_285_2_248 & app(all_0_3_3, all_0_3_3) = all_285_1_247 & app(all_0_7_7, all_285_1_247) = all_285_0_246 & ( ~ (all_285_2_248 = 0) | all_285_0_246 = all_0_7_7))
% 67.63/26.59 |
% 67.63/26.59 | Instantiating formula (117) with all_0_3_3, all_268_2_242, 0 and discharging atoms ssList(all_0_3_3) = all_268_2_242, ssList(all_0_3_3) = 0, yields:
% 67.63/26.59 | (1059) all_268_2_242 = 0
% 67.63/26.59 |
% 67.63/26.59 | From (1059) and (1062) follows:
% 67.63/26.59 | (111) ssList(all_0_3_3) = 0
% 67.63/26.59 |
% 67.63/26.59 +-Applying beta-rule and splitting (1055), into two cases.
% 67.63/26.59 |-Branch one:
% 67.63/26.59 | (1075) ~ (all_272_2_245 = 0) & ssList(all_0_3_3) = all_272_2_245
% 67.63/26.59 |
% 67.63/26.59 | Applying alpha-rule on (1075) yields:
% 67.63/26.59 | (1076) ~ (all_272_2_245 = 0)
% 67.63/26.59 | (1077) ssList(all_0_3_3) = all_272_2_245
% 67.63/26.59 |
% 67.63/26.59 +-Applying beta-rule and splitting (1072), into two cases.
% 67.63/26.59 |-Branch one:
% 67.63/26.59 | (1078) ~ (all_285_2_248 = 0) & ssList(all_0_3_3) = all_285_2_248
% 67.63/26.59 |
% 67.63/26.59 | Applying alpha-rule on (1078) yields:
% 67.63/26.59 | (1079) ~ (all_285_2_248 = 0)
% 67.63/26.59 | (1080) ssList(all_0_3_3) = all_285_2_248
% 67.63/26.59 |
% 67.63/26.59 | Instantiating formula (117) with all_0_3_3, all_285_2_248, 0 and discharging atoms ssList(all_0_3_3) = all_285_2_248, ssList(all_0_3_3) = 0, yields:
% 67.63/26.59 | (1081) all_285_2_248 = 0
% 67.63/26.59 |
% 67.63/26.59 | Instantiating formula (117) with all_0_3_3, all_272_2_245, all_285_2_248 and discharging atoms ssList(all_0_3_3) = all_285_2_248, ssList(all_0_3_3) = all_272_2_245, yields:
% 67.63/26.59 | (1082) all_285_2_248 = all_272_2_245
% 67.63/26.59 |
% 67.63/26.59 | Combining equations (1081,1082) yields a new equation:
% 67.63/26.59 | (1083) all_272_2_245 = 0
% 67.63/26.59 |
% 67.63/26.59 | Equations (1083) can reduce 1076 to:
% 67.63/26.59 | (274) $false
% 67.63/26.59 |
% 67.63/26.59 |-The branch is then unsatisfiable
% 67.63/26.59 |-Branch two:
% 67.63/26.59 | (1085) ssList(all_0_3_3) = all_285_2_248 & app(all_0_3_3, all_0_3_3) = all_285_1_247 & app(all_0_7_7, all_285_1_247) = all_285_0_246 & ( ~ (all_285_2_248 = 0) | all_285_0_246 = all_0_7_7)
% 67.63/26.59 |
% 67.63/26.59 | Applying alpha-rule on (1085) yields:
% 67.63/26.59 | (1080) ssList(all_0_3_3) = all_285_2_248
% 67.63/26.59 | (1087) app(all_0_3_3, all_0_3_3) = all_285_1_247
% 67.63/26.59 | (1088) app(all_0_7_7, all_285_1_247) = all_285_0_246
% 67.63/26.59 | (1089) ~ (all_285_2_248 = 0) | all_285_0_246 = all_0_7_7
% 67.63/26.59 |
% 67.63/26.59 | Instantiating formula (117) with all_0_3_3, all_285_2_248, 0 and discharging atoms ssList(all_0_3_3) = all_285_2_248, ssList(all_0_3_3) = 0, yields:
% 67.63/26.59 | (1081) all_285_2_248 = 0
% 67.63/26.59 |
% 67.63/26.59 | Instantiating formula (117) with all_0_3_3, all_272_2_245, all_285_2_248 and discharging atoms ssList(all_0_3_3) = all_285_2_248, ssList(all_0_3_3) = all_272_2_245, yields:
% 67.63/26.59 | (1082) all_285_2_248 = all_272_2_245
% 67.63/26.59 |
% 67.63/26.59 | Combining equations (1081,1082) yields a new equation:
% 67.63/26.59 | (1083) all_272_2_245 = 0
% 67.63/26.59 |
% 67.63/26.59 | Equations (1083) can reduce 1076 to:
% 67.63/26.59 | (274) $false
% 67.63/26.59 |
% 67.63/26.59 |-The branch is then unsatisfiable
% 67.63/26.59 |-Branch two:
% 67.63/26.59 | (1094) ssList(all_0_3_3) = all_272_2_245 & app(all_0_3_3, all_0_3_3) = all_272_1_244 & app(all_0_14_14, all_272_1_244) = all_272_0_243 & ( ~ (all_272_2_245 = 0) | all_272_0_243 = all_0_14_14)
% 67.63/26.59 |
% 67.63/26.59 | Applying alpha-rule on (1094) yields:
% 67.63/26.59 | (1077) ssList(all_0_3_3) = all_272_2_245
% 67.63/26.59 | (1096) app(all_0_3_3, all_0_3_3) = all_272_1_244
% 67.63/26.59 | (1097) app(all_0_14_14, all_272_1_244) = all_272_0_243
% 67.63/26.59 | (1098) ~ (all_272_2_245 = 0) | all_272_0_243 = all_0_14_14
% 67.63/26.59 |
% 67.63/26.59 | Instantiating formula (117) with all_0_3_3, all_272_2_245, 0 and discharging atoms ssList(all_0_3_3) = all_272_2_245, ssList(all_0_3_3) = 0, yields:
% 67.63/26.59 | (1083) all_272_2_245 = 0
% 67.63/26.59 |
% 67.63/26.59 | From (1083) and (1077) follows:
% 67.63/26.59 | (111) ssList(all_0_3_3) = 0
% 67.63/26.59 |
% 67.63/26.59 +-Applying beta-rule and splitting (1098), into two cases.
% 67.63/26.59 |-Branch one:
% 67.63/26.59 | (1076) ~ (all_272_2_245 = 0)
% 67.63/26.59 |
% 67.63/26.59 | Equations (1083) can reduce 1076 to:
% 67.63/26.59 | (274) $false
% 67.63/26.60 |
% 67.63/26.60 |-The branch is then unsatisfiable
% 67.63/26.60 |-Branch two:
% 67.63/26.60 | (1083) all_272_2_245 = 0
% 67.63/26.60 | (1104) all_272_0_243 = all_0_14_14
% 67.63/26.60 |
% 67.63/26.60 | From (1104) and (1097) follows:
% 67.63/26.60 | (1105) app(all_0_14_14, all_272_1_244) = all_0_14_14
% 67.63/26.60 |
% 67.63/26.60 +-Applying beta-rule and splitting (1072), into two cases.
% 67.63/26.60 |-Branch one:
% 67.63/26.60 | (1078) ~ (all_285_2_248 = 0) & ssList(all_0_3_3) = all_285_2_248
% 67.63/26.60 |
% 67.63/26.60 | Applying alpha-rule on (1078) yields:
% 67.63/26.60 | (1079) ~ (all_285_2_248 = 0)
% 67.63/26.60 | (1080) ssList(all_0_3_3) = all_285_2_248
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (117) with all_0_3_3, all_285_2_248, 0 and discharging atoms ssList(all_0_3_3) = all_285_2_248, ssList(all_0_3_3) = 0, yields:
% 67.63/26.60 | (1081) all_285_2_248 = 0
% 67.63/26.60 |
% 67.63/26.60 | Equations (1081) can reduce 1079 to:
% 67.63/26.60 | (274) $false
% 67.63/26.60 |
% 67.63/26.60 |-The branch is then unsatisfiable
% 67.63/26.60 |-Branch two:
% 67.63/26.60 | (1085) ssList(all_0_3_3) = all_285_2_248 & app(all_0_3_3, all_0_3_3) = all_285_1_247 & app(all_0_7_7, all_285_1_247) = all_285_0_246 & ( ~ (all_285_2_248 = 0) | all_285_0_246 = all_0_7_7)
% 67.63/26.60 |
% 67.63/26.60 | Applying alpha-rule on (1085) yields:
% 67.63/26.60 | (1080) ssList(all_0_3_3) = all_285_2_248
% 67.63/26.60 | (1087) app(all_0_3_3, all_0_3_3) = all_285_1_247
% 67.63/26.60 | (1088) app(all_0_7_7, all_285_1_247) = all_285_0_246
% 67.63/26.60 | (1089) ~ (all_285_2_248 = 0) | all_285_0_246 = all_0_7_7
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (117) with all_0_3_3, all_285_2_248, 0 and discharging atoms ssList(all_0_3_3) = all_285_2_248, ssList(all_0_3_3) = 0, yields:
% 67.63/26.60 | (1081) all_285_2_248 = 0
% 67.63/26.60 |
% 67.63/26.60 | From (1081) and (1080) follows:
% 67.63/26.60 | (111) ssList(all_0_3_3) = 0
% 67.63/26.60 |
% 67.63/26.60 +-Applying beta-rule and splitting (155), into two cases.
% 67.63/26.60 |-Branch one:
% 67.63/26.60 | (473) all_0_3_3 = nil
% 67.63/26.60 |
% 67.63/26.60 | From (473) and (470) follows:
% 67.63/26.60 | (1119) memberP(nil, all_0_8_8) = 0
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (90) with all_0_8_8 and discharging atoms memberP(nil, all_0_8_8) = 0, yields:
% 67.63/26.60 | (1120) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 67.63/26.60 |
% 67.63/26.60 | Instantiating (1120) with all_409_0_335 yields:
% 67.63/26.60 | (1121) ~ (all_409_0_335 = 0) & ssItem(all_0_8_8) = all_409_0_335
% 67.63/26.60 |
% 67.63/26.60 | Applying alpha-rule on (1121) yields:
% 67.63/26.60 | (1122) ~ (all_409_0_335 = 0)
% 67.63/26.60 | (1123) ssItem(all_0_8_8) = all_409_0_335
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (83) with all_0_8_8, all_409_0_335, 0 and discharging atoms ssItem(all_0_8_8) = all_409_0_335, ssItem(all_0_8_8) = 0, yields:
% 67.63/26.60 | (1124) all_409_0_335 = 0
% 67.63/26.60 |
% 67.63/26.60 | Equations (1124) can reduce 1122 to:
% 67.63/26.60 | (274) $false
% 67.63/26.60 |
% 67.63/26.60 |-The branch is then unsatisfiable
% 67.63/26.60 |-Branch two:
% 67.63/26.60 | (472) ~ (all_0_3_3 = nil)
% 67.63/26.60 | (476) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (84) with all_0_14_14, all_272_1_244, all_0_14_14 and discharging atoms ssList(all_0_14_14) = 0, app(all_0_14_14, all_272_1_244) = all_0_14_14, yields:
% 67.63/26.60 | (1128) ? [v0] : ? [v1] : (ssList(all_272_1_244) = v0 & ssList(all_0_14_14) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (45) 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:
% 67.63/26.60 | (1129) all_0_3_3 = nil | ? [v0] : (( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 67.63/26.60 |
% 67.63/26.60 | Instantiating (1128) with all_430_0_554, all_430_1_555 yields:
% 67.63/26.60 | (1130) ssList(all_272_1_244) = all_430_1_555 & ssList(all_0_14_14) = all_430_0_554 & ( ~ (all_430_1_555 = 0) | all_430_0_554 = 0)
% 67.63/26.60 |
% 67.63/26.60 | Applying alpha-rule on (1130) yields:
% 67.63/26.60 | (1131) ssList(all_272_1_244) = all_430_1_555
% 67.63/26.60 | (1132) ssList(all_0_14_14) = all_430_0_554
% 67.63/26.60 | (1133) ~ (all_430_1_555 = 0) | all_430_0_554 = 0
% 67.63/26.60 |
% 67.63/26.60 +-Applying beta-rule and splitting (1129), into two cases.
% 67.63/26.60 |-Branch one:
% 67.63/26.60 | (473) all_0_3_3 = nil
% 67.63/26.60 |
% 67.63/26.60 | Equations (473) can reduce 472 to:
% 67.63/26.60 | (274) $false
% 67.63/26.60 |
% 67.63/26.60 |-The branch is then unsatisfiable
% 67.63/26.60 |-Branch two:
% 67.63/26.60 | (472) ~ (all_0_3_3 = nil)
% 67.63/26.60 | (1137) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 67.63/26.60 |
% 67.63/26.60 | Instantiating (1137) with all_452_0_584 yields:
% 67.63/26.60 | (1138) ( ~ (all_452_0_584 = 0) & ssList(all_0_14_14) = all_452_0_584) | ( ~ (all_452_0_584 = 0) & ssList(nil) = all_452_0_584)
% 67.63/26.60 |
% 67.63/26.60 +-Applying beta-rule and splitting (1138), into two cases.
% 67.63/26.60 |-Branch one:
% 67.63/26.60 | (1139) ~ (all_452_0_584 = 0) & ssList(all_0_14_14) = all_452_0_584
% 67.63/26.60 |
% 67.63/26.60 | Applying alpha-rule on (1139) yields:
% 67.63/26.60 | (1140) ~ (all_452_0_584 = 0)
% 67.63/26.60 | (1141) ssList(all_0_14_14) = all_452_0_584
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (117) with all_0_14_14, all_452_0_584, 0 and discharging atoms ssList(all_0_14_14) = all_452_0_584, ssList(all_0_14_14) = 0, yields:
% 67.63/26.60 | (1142) all_452_0_584 = 0
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (117) with all_0_14_14, all_430_0_554, all_452_0_584 and discharging atoms ssList(all_0_14_14) = all_452_0_584, ssList(all_0_14_14) = all_430_0_554, yields:
% 67.63/26.60 | (1143) all_452_0_584 = all_430_0_554
% 67.63/26.60 |
% 67.63/26.60 | Combining equations (1142,1143) yields a new equation:
% 67.63/26.60 | (1144) all_430_0_554 = 0
% 67.63/26.60 |
% 67.63/26.60 | Combining equations (1144,1143) yields a new equation:
% 67.63/26.60 | (1142) all_452_0_584 = 0
% 67.63/26.60 |
% 67.63/26.60 | Equations (1142) can reduce 1140 to:
% 67.63/26.60 | (274) $false
% 67.63/26.60 |
% 67.63/26.60 |-The branch is then unsatisfiable
% 67.63/26.60 |-Branch two:
% 67.63/26.60 | (1147) ~ (all_452_0_584 = 0) & ssList(nil) = all_452_0_584
% 67.63/26.60 |
% 67.63/26.60 | Applying alpha-rule on (1147) yields:
% 67.63/26.60 | (1140) ~ (all_452_0_584 = 0)
% 67.63/26.60 | (1149) ssList(nil) = all_452_0_584
% 67.63/26.60 |
% 67.63/26.60 | Instantiating formula (117) with nil, all_452_0_584, 0 and discharging atoms ssList(nil) = all_452_0_584, ssList(nil) = 0, yields:
% 67.63/26.60 | (1142) all_452_0_584 = 0
% 67.63/26.60 |
% 67.63/26.60 | Equations (1142) can reduce 1140 to:
% 67.63/26.60 | (274) $false
% 67.63/26.60 |
% 67.63/26.60 |-The branch is then unsatisfiable
% 67.63/26.61 |-Branch two:
% 67.63/26.61 | (1152) ~ (all_8_1_17 = all_0_7_7)
% 67.63/26.61 | (1153) ? [v0] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | ( ~ (v0 = 0) & ssList(all_0_6_6) = v0))
% 67.63/26.61 |
% 67.63/26.61 | Instantiating (1153) with all_281_0_592 yields:
% 67.63/26.61 | (1154) ( ~ (all_281_0_592 = 0) & ssList(all_8_1_17) = all_281_0_592) | ( ~ (all_281_0_592 = 0) & ssList(all_0_6_6) = all_281_0_592)
% 67.63/26.61 |
% 67.63/26.61 +-Applying beta-rule and splitting (1154), into two cases.
% 67.63/26.61 |-Branch one:
% 67.63/26.61 | (1155) ~ (all_281_0_592 = 0) & ssList(all_8_1_17) = all_281_0_592
% 67.63/26.61 |
% 67.63/26.61 | Applying alpha-rule on (1155) yields:
% 67.63/26.61 | (1156) ~ (all_281_0_592 = 0)
% 67.83/26.61 | (1157) ssList(all_8_1_17) = all_281_0_592
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (117) with all_8_1_17, all_281_0_592, 0 and discharging atoms ssList(all_8_1_17) = all_281_0_592, ssList(all_8_1_17) = 0, yields:
% 67.83/26.61 | (1158) all_281_0_592 = 0
% 67.83/26.61 |
% 67.83/26.61 | Equations (1158) can reduce 1156 to:
% 67.83/26.61 | (274) $false
% 67.83/26.61 |
% 67.83/26.61 |-The branch is then unsatisfiable
% 67.83/26.61 |-Branch two:
% 67.83/26.61 | (1160) ~ (all_281_0_592 = 0) & ssList(all_0_6_6) = all_281_0_592
% 67.83/26.61 |
% 67.83/26.61 | Applying alpha-rule on (1160) yields:
% 67.83/26.61 | (1156) ~ (all_281_0_592 = 0)
% 67.83/26.61 | (1162) ssList(all_0_6_6) = all_281_0_592
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (117) with all_0_6_6, all_281_0_592, 0 and discharging atoms ssList(all_0_6_6) = all_281_0_592, ssList(all_0_6_6) = 0, yields:
% 67.83/26.61 | (1158) all_281_0_592 = 0
% 67.83/26.61 |
% 67.83/26.61 | Equations (1158) can reduce 1156 to:
% 67.83/26.61 | (274) $false
% 67.83/26.61 |
% 67.83/26.61 |-The branch is then unsatisfiable
% 67.83/26.61 |-Branch two:
% 67.83/26.61 | (1165) ~ (all_0_5_5 = all_0_14_14)
% 67.83/26.61 | (1166) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 67.83/26.61 |
% 67.83/26.61 | Instantiating (1166) with all_257_0_593 yields:
% 67.83/26.61 | (1167) ~ (all_257_0_593 = 0) & ssList(all_0_5_5) = all_257_0_593
% 67.83/26.61 |
% 67.83/26.61 | Applying alpha-rule on (1167) yields:
% 67.83/26.61 | (1168) ~ (all_257_0_593 = 0)
% 67.83/26.61 | (1169) ssList(all_0_5_5) = all_257_0_593
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (117) with all_0_5_5, all_257_0_593, 0 and discharging atoms ssList(all_0_5_5) = all_257_0_593, ssList(all_0_5_5) = 0, yields:
% 67.83/26.61 | (1170) all_257_0_593 = 0
% 67.83/26.61 |
% 67.83/26.61 | Equations (1170) can reduce 1168 to:
% 67.83/26.61 | (274) $false
% 67.83/26.61 |
% 67.83/26.61 |-The branch is then unsatisfiable
% 67.83/26.61 |-Branch two:
% 67.83/26.61 | (1172) ~ (all_0_2_2 = 0)
% 67.83/26.61 | (1173) all_0_4_4 = 0
% 67.83/26.61 |
% 67.83/26.61 | From (1173) and (81) follows:
% 67.83/26.61 | (1174) memberP(all_0_6_6, all_0_8_8) = 0
% 67.83/26.61 |
% 67.83/26.61 +-Applying beta-rule and splitting (168), into two cases.
% 67.83/26.61 |-Branch one:
% 67.83/26.61 | (471) ~ (app(all_0_5_5, nil) = all_0_14_14)
% 67.83/26.61 |
% 67.83/26.61 | Using (20) and (471) yields:
% 67.83/26.61 | (472) ~ (all_0_3_3 = nil)
% 67.83/26.61 |
% 67.83/26.61 +-Applying beta-rule and splitting (155), into two cases.
% 67.83/26.61 |-Branch one:
% 67.83/26.61 | (473) all_0_3_3 = nil
% 67.83/26.61 |
% 67.83/26.61 | Equations (473) can reduce 472 to:
% 67.83/26.61 | (274) $false
% 67.83/26.61 |
% 67.83/26.61 |-The branch is then unsatisfiable
% 67.83/26.61 |-Branch two:
% 67.83/26.61 | (472) ~ (all_0_3_3 = nil)
% 67.83/26.61 | (476) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 67.83/26.61 |
% 67.83/26.61 | Instantiating (476) with all_293_0_594, all_293_1_595 yields:
% 67.83/26.61 | (1181) ssList(all_293_1_595) = 0 & cons(all_293_0_594, all_293_1_595) = all_0_3_3 & ssItem(all_293_0_594) = 0
% 67.83/26.61 |
% 67.83/26.61 | Applying alpha-rule on (1181) yields:
% 67.83/26.61 | (1182) ssList(all_293_1_595) = 0
% 67.83/26.61 | (1183) cons(all_293_0_594, all_293_1_595) = all_0_3_3
% 67.83/26.61 | (1184) ssItem(all_293_0_594) = 0
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (75) 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:
% 67.83/26.61 | (1185) 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))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (75) 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:
% 67.83/26.61 | (1186) 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))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (100) 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:
% 67.83/26.61 | (484) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_1_50))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (87) 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:
% 67.83/26.61 | (485) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_0_49))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (100) 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:
% 67.83/26.61 | (486) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (87) 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:
% 67.83/26.61 | (487) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = all_0_12_12))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (15) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.83/26.61 | (488) ? [v0] : ? [v1] : (equalelemsP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (5) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.83/26.61 | (489) ? [v0] : ? [v1] : (duplicatefreeP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (51) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.83/26.61 | (490) ? [v0] : ? [v1] : (strictorderedP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.83/26.61 |
% 67.83/26.61 | Instantiating formula (68) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.83/26.61 | (491) ? [v0] : ? [v1] : (totalorderedP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.83/26.62 |
% 67.83/26.62 | Instantiating formula (11) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.83/26.62 | (492) ? [v0] : ? [v1] : (strictorderP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.83/26.62 |
% 67.83/26.62 | Instantiating formula (64) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 67.83/26.62 | (493) ? [v0] : ? [v1] : (totalorderP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 67.83/26.62 |
% 67.83/26.62 | Instantiating formula (88) with all_0_2_2, all_0_3_3, all_293_1_595, all_293_0_594, all_0_8_8 and discharging atoms memberP(all_0_3_3, all_0_8_8) = all_0_2_2, cons(all_293_0_594, all_293_1_595) = all_0_3_3, ssItem(all_293_0_594) = 0, ssItem(all_0_8_8) = 0, yields:
% 67.83/26.62 | (1197) ? [v0] : ? [v1] : (memberP(all_293_1_595, all_0_8_8) = v1 & ssList(all_293_1_595) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_2_2 = 0) | v1 = 0 | all_293_0_594 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (v1 = 0) & ~ (all_293_0_594 = all_0_8_8))))))
% 67.83/26.62 |
% 67.83/26.62 | Instantiating formula (121) with all_8_1_17, all_0_3_3, all_293_1_595, all_0_6_6, all_293_0_594, all_0_8_8, all_0_14_14 and discharging atoms ssList(all_0_6_6) = 0, cons(all_293_0_594, all_293_1_595) = 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_293_0_594) = 0, ssItem(all_0_8_8) = 0, yields:
% 67.83/26.62 | (1198) all_293_0_594 = all_0_8_8 | ~ (equalelemsP(all_0_14_14) = 0) | ? [v0] : (( ~ (v0 = 0) & ssList(all_293_1_595) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 67.83/26.62 |
% 67.83/26.62 | Instantiating formula (88) with all_0_2_2, all_0_3_3, all_293_1_595, 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:
% 67.83/26.62 | (1199) ~ (cons(all_120_0_49, all_293_1_595) = all_0_3_3) | ? [v0] : ? [v1] : (memberP(all_293_1_595, all_0_8_8) = v1 & ssList(all_293_1_595) = 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))))))
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (1197) with all_348_0_683, all_348_1_684 yields:
% 67.83/26.62 | (1200) memberP(all_293_1_595, all_0_8_8) = all_348_0_683 & ssList(all_293_1_595) = all_348_1_684 & ( ~ (all_348_1_684 = 0) | (( ~ (all_0_2_2 = 0) | all_348_0_683 = 0 | all_293_0_594 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_348_0_683 = 0) & ~ (all_293_0_594 = all_0_8_8)))))
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1200) yields:
% 67.83/26.62 | (1201) memberP(all_293_1_595, all_0_8_8) = all_348_0_683
% 67.83/26.62 | (1202) ssList(all_293_1_595) = all_348_1_684
% 67.83/26.62 | (1203) ~ (all_348_1_684 = 0) | (( ~ (all_0_2_2 = 0) | all_348_0_683 = 0 | all_293_0_594 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_348_0_683 = 0) & ~ (all_293_0_594 = all_0_8_8))))
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (492) with all_352_0_687, all_352_1_688 yields:
% 67.83/26.62 | (1204) strictorderP(all_0_14_14) = all_352_0_687 & ssItem(all_0_12_12) = all_352_1_688 & ( ~ (all_352_1_688 = 0) | all_352_0_687 = 0)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1204) yields:
% 67.83/26.62 | (1205) strictorderP(all_0_14_14) = all_352_0_687
% 67.83/26.62 | (1206) ssItem(all_0_12_12) = all_352_1_688
% 67.83/26.62 | (1207) ~ (all_352_1_688 = 0) | all_352_0_687 = 0
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (491) with all_354_0_689, all_354_1_690 yields:
% 67.83/26.62 | (1208) totalorderedP(all_0_14_14) = all_354_0_689 & ssItem(all_0_12_12) = all_354_1_690 & ( ~ (all_354_1_690 = 0) | all_354_0_689 = 0)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1208) yields:
% 67.83/26.62 | (1209) totalorderedP(all_0_14_14) = all_354_0_689
% 67.83/26.62 | (1210) ssItem(all_0_12_12) = all_354_1_690
% 67.83/26.62 | (1211) ~ (all_354_1_690 = 0) | all_354_0_689 = 0
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (493) with all_356_0_691, all_356_1_692 yields:
% 67.83/26.62 | (1212) totalorderP(all_0_14_14) = all_356_0_691 & ssItem(all_0_12_12) = all_356_1_692 & ( ~ (all_356_1_692 = 0) | all_356_0_691 = 0)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1212) yields:
% 67.83/26.62 | (1213) totalorderP(all_0_14_14) = all_356_0_691
% 67.83/26.62 | (1214) ssItem(all_0_12_12) = all_356_1_692
% 67.83/26.62 | (1215) ~ (all_356_1_692 = 0) | all_356_0_691 = 0
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (490) with all_360_0_695, all_360_1_696 yields:
% 67.83/26.62 | (1216) strictorderedP(all_0_14_14) = all_360_0_695 & ssItem(all_0_12_12) = all_360_1_696 & ( ~ (all_360_1_696 = 0) | all_360_0_695 = 0)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1216) yields:
% 67.83/26.62 | (1217) strictorderedP(all_0_14_14) = all_360_0_695
% 67.83/26.62 | (1218) ssItem(all_0_12_12) = all_360_1_696
% 67.83/26.62 | (1219) ~ (all_360_1_696 = 0) | all_360_0_695 = 0
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (489) with all_362_0_697, all_362_1_698 yields:
% 67.83/26.62 | (1220) duplicatefreeP(all_0_14_14) = all_362_0_697 & ssItem(all_0_12_12) = all_362_1_698 & ( ~ (all_362_1_698 = 0) | all_362_0_697 = 0)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1220) yields:
% 67.83/26.62 | (1221) duplicatefreeP(all_0_14_14) = all_362_0_697
% 67.83/26.62 | (1222) ssItem(all_0_12_12) = all_362_1_698
% 67.83/26.62 | (1223) ~ (all_362_1_698 = 0) | all_362_0_697 = 0
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (488) with all_366_0_701, all_366_1_702 yields:
% 67.83/26.62 | (1224) equalelemsP(all_0_14_14) = all_366_0_701 & ssItem(all_0_12_12) = all_366_1_702 & ( ~ (all_366_1_702 = 0) | all_366_0_701 = 0)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1224) yields:
% 67.83/26.62 | (1225) equalelemsP(all_0_14_14) = all_366_0_701
% 67.83/26.62 | (1226) ssItem(all_0_12_12) = all_366_1_702
% 67.83/26.62 | (1227) ~ (all_366_1_702 = 0) | all_366_0_701 = 0
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (485) with all_368_0_703, all_368_1_704 yields:
% 67.83/26.62 | (1228) hd(all_0_7_7) = all_368_0_703 & ssItem(all_120_0_49) = all_368_1_704 & ( ~ (all_368_1_704 = 0) | all_368_0_703 = all_120_0_49)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1228) yields:
% 67.83/26.62 | (1229) hd(all_0_7_7) = all_368_0_703
% 67.83/26.62 | (1230) ssItem(all_120_0_49) = all_368_1_704
% 67.83/26.62 | (1231) ~ (all_368_1_704 = 0) | all_368_0_703 = all_120_0_49
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (484) with all_370_0_705, all_370_1_706 yields:
% 67.83/26.62 | (1232) tl(all_0_7_7) = all_370_0_705 & ssItem(all_120_0_49) = all_370_1_706 & ( ~ (all_370_1_706 = 0) | all_370_0_705 = all_120_1_50)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1232) yields:
% 67.83/26.62 | (1233) tl(all_0_7_7) = all_370_0_705
% 67.83/26.62 | (1234) ssItem(all_120_0_49) = all_370_1_706
% 67.83/26.62 | (1235) ~ (all_370_1_706 = 0) | all_370_0_705 = all_120_1_50
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (487) with all_376_0_711, all_376_1_712 yields:
% 67.83/26.62 | (1236) hd(all_0_14_14) = all_376_0_711 & ssItem(all_0_12_12) = all_376_1_712 & ( ~ (all_376_1_712 = 0) | all_376_0_711 = all_0_12_12)
% 67.83/26.62 |
% 67.83/26.62 | Applying alpha-rule on (1236) yields:
% 67.83/26.62 | (1237) hd(all_0_14_14) = all_376_0_711
% 67.83/26.62 | (1238) ssItem(all_0_12_12) = all_376_1_712
% 67.83/26.62 | (1239) ~ (all_376_1_712 = 0) | all_376_0_711 = all_0_12_12
% 67.83/26.62 |
% 67.83/26.62 | Instantiating (486) with all_378_0_713, all_378_1_714 yields:
% 67.83/26.62 | (1240) tl(all_0_14_14) = all_378_0_713 & ssItem(all_0_12_12) = all_378_1_714 & ( ~ (all_378_1_714 = 0) | all_378_0_713 = nil)
% 67.83/26.62 |
% 67.83/26.63 | Applying alpha-rule on (1240) yields:
% 67.83/26.63 | (1241) tl(all_0_14_14) = all_378_0_713
% 67.83/26.63 | (1242) ssItem(all_0_12_12) = all_378_1_714
% 67.83/26.63 | (1243) ~ (all_378_1_714 = 0) | all_378_0_713 = nil
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (116) with all_0_7_7, all_370_0_705, nil and discharging atoms tl(all_0_7_7) = all_370_0_705, tl(all_0_7_7) = nil, yields:
% 67.83/26.63 | (1244) all_370_0_705 = nil
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (42) with all_0_7_7, all_368_0_703, all_0_8_8 and discharging atoms hd(all_0_7_7) = all_368_0_703, hd(all_0_7_7) = all_0_8_8, yields:
% 67.83/26.63 | (1245) all_368_0_703 = all_0_8_8
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (117) with all_293_1_595, all_348_1_684, 0 and discharging atoms ssList(all_293_1_595) = all_348_1_684, ssList(all_293_1_595) = 0, yields:
% 67.83/26.63 | (1246) all_348_1_684 = 0
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_120_0_49, all_370_1_706, 0 and discharging atoms ssItem(all_120_0_49) = all_370_1_706, ssItem(all_120_0_49) = 0, yields:
% 67.83/26.63 | (1247) all_370_1_706 = 0
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_120_0_49, all_368_1_704, all_370_1_706 and discharging atoms ssItem(all_120_0_49) = all_370_1_706, ssItem(all_120_0_49) = all_368_1_704, yields:
% 67.83/26.63 | (1248) all_370_1_706 = all_368_1_704
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_0_12_12, all_376_1_712, all_378_1_714 and discharging atoms ssItem(all_0_12_12) = all_378_1_714, ssItem(all_0_12_12) = all_376_1_712, yields:
% 67.83/26.63 | (1249) all_378_1_714 = all_376_1_712
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_0_12_12, all_366_1_702, all_376_1_712 and discharging atoms ssItem(all_0_12_12) = all_376_1_712, ssItem(all_0_12_12) = all_366_1_702, yields:
% 67.83/26.63 | (1250) all_376_1_712 = all_366_1_702
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_0_12_12, all_362_1_698, 0 and discharging atoms ssItem(all_0_12_12) = all_362_1_698, ssItem(all_0_12_12) = 0, yields:
% 67.83/26.63 | (1251) all_362_1_698 = 0
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_0_12_12, all_360_1_696, all_362_1_698 and discharging atoms ssItem(all_0_12_12) = all_362_1_698, ssItem(all_0_12_12) = all_360_1_696, yields:
% 67.83/26.63 | (1252) all_362_1_698 = all_360_1_696
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_0_12_12, all_356_1_692, all_376_1_712 and discharging atoms ssItem(all_0_12_12) = all_376_1_712, ssItem(all_0_12_12) = all_356_1_692, yields:
% 67.83/26.63 | (1253) all_376_1_712 = all_356_1_692
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_0_12_12, all_356_1_692, all_362_1_698 and discharging atoms ssItem(all_0_12_12) = all_362_1_698, ssItem(all_0_12_12) = all_356_1_692, yields:
% 67.83/26.63 | (1254) all_362_1_698 = all_356_1_692
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_0_12_12, all_354_1_690, all_356_1_692 and discharging atoms ssItem(all_0_12_12) = all_356_1_692, ssItem(all_0_12_12) = all_354_1_690, yields:
% 67.83/26.63 | (1255) all_356_1_692 = all_354_1_690
% 67.83/26.63 |
% 67.83/26.63 | Instantiating formula (83) with all_0_12_12, all_352_1_688, all_378_1_714 and discharging atoms ssItem(all_0_12_12) = all_378_1_714, ssItem(all_0_12_12) = all_352_1_688, yields:
% 67.83/26.63 | (1256) all_378_1_714 = all_352_1_688
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1249,1256) yields a new equation:
% 67.83/26.63 | (1257) all_376_1_712 = all_352_1_688
% 67.83/26.63 |
% 67.83/26.63 | Simplifying 1257 yields:
% 67.83/26.63 | (1258) all_376_1_712 = all_352_1_688
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1253,1250) yields a new equation:
% 67.83/26.63 | (1259) all_366_1_702 = all_356_1_692
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1258,1250) yields a new equation:
% 67.83/26.63 | (1260) all_366_1_702 = all_352_1_688
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1247,1248) yields a new equation:
% 67.83/26.63 | (1261) all_368_1_704 = 0
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1259,1260) yields a new equation:
% 67.83/26.63 | (1262) all_356_1_692 = all_352_1_688
% 67.83/26.63 |
% 67.83/26.63 | Simplifying 1262 yields:
% 67.83/26.63 | (1263) all_356_1_692 = all_352_1_688
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1251,1252) yields a new equation:
% 67.83/26.63 | (1264) all_360_1_696 = 0
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1254,1252) yields a new equation:
% 67.83/26.63 | (1265) all_360_1_696 = all_356_1_692
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1265,1264) yields a new equation:
% 67.83/26.63 | (1266) all_356_1_692 = 0
% 67.83/26.63 |
% 67.83/26.63 | Simplifying 1266 yields:
% 67.83/26.63 | (1267) all_356_1_692 = 0
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1263,1255) yields a new equation:
% 67.83/26.63 | (1268) all_354_1_690 = all_352_1_688
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1267,1255) yields a new equation:
% 67.83/26.63 | (1269) all_354_1_690 = 0
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1268,1269) yields a new equation:
% 67.83/26.63 | (1270) all_352_1_688 = 0
% 67.83/26.63 |
% 67.83/26.63 | Simplifying 1270 yields:
% 67.83/26.63 | (1271) all_352_1_688 = 0
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1271,1260) yields a new equation:
% 67.83/26.63 | (1272) all_366_1_702 = 0
% 67.83/26.63 |
% 67.83/26.63 | Combining equations (1261,1248) yields a new equation:
% 67.83/26.63 | (1247) all_370_1_706 = 0
% 67.83/26.63 |
% 67.83/26.63 | From (1246) and (1202) follows:
% 67.83/26.63 | (1182) ssList(all_293_1_595) = 0
% 67.83/26.63 |
% 67.83/26.63 +-Applying beta-rule and splitting (1227), into two cases.
% 67.83/26.63 |-Branch one:
% 67.83/26.63 | (1275) ~ (all_366_1_702 = 0)
% 67.83/26.63 |
% 67.83/26.63 | Equations (1272) can reduce 1275 to:
% 67.83/26.63 | (274) $false
% 67.83/26.63 |
% 67.83/26.63 |-The branch is then unsatisfiable
% 67.83/26.63 |-Branch two:
% 67.83/26.63 | (1272) all_366_1_702 = 0
% 67.83/26.63 | (1278) all_366_0_701 = 0
% 67.83/26.63 |
% 67.83/26.63 | From (1278) and (1225) follows:
% 67.83/26.63 | (612) equalelemsP(all_0_14_14) = 0
% 67.83/26.63 |
% 67.83/26.63 +-Applying beta-rule and splitting (1186), into two cases.
% 67.83/26.63 |-Branch one:
% 67.83/26.63 | (600) all_120_0_49 = all_0_8_8
% 67.83/26.63 |
% 67.83/26.63 +-Applying beta-rule and splitting (1199), into two cases.
% 67.83/26.63 |-Branch one:
% 67.83/26.63 | (1281) ~ (cons(all_120_0_49, all_293_1_595) = all_0_3_3)
% 67.83/26.63 |
% 67.83/26.63 | From (600) and (1281) follows:
% 67.83/26.63 | (1282) ~ (cons(all_0_8_8, all_293_1_595) = all_0_3_3)
% 67.83/26.63 |
% 67.83/26.63 +-Applying beta-rule and splitting (1198), into two cases.
% 67.83/26.63 |-Branch one:
% 67.83/26.63 | (620) ~ (equalelemsP(all_0_14_14) = 0)
% 67.83/26.63 |
% 67.83/26.63 | Using (612) and (620) yields:
% 67.83/26.63 | (621) $false
% 67.83/26.63 |
% 67.83/26.63 |-The branch is then unsatisfiable
% 67.83/26.63 |-Branch two:
% 67.83/26.63 | (612) equalelemsP(all_0_14_14) = 0
% 67.83/26.63 | (1286) all_293_0_594 = all_0_8_8 | ? [v0] : (( ~ (v0 = 0) & ssList(all_293_1_595) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 67.83/26.63 |
% 67.83/26.63 +-Applying beta-rule and splitting (1286), into two cases.
% 67.83/26.63 |-Branch one:
% 67.83/26.64 | (1287) all_293_0_594 = all_0_8_8
% 67.83/26.64 |
% 67.83/26.64 | From (1287) and (1183) follows:
% 67.83/26.64 | (1288) cons(all_0_8_8, all_293_1_595) = all_0_3_3
% 67.83/26.64 |
% 67.83/26.64 | Using (1288) and (1282) yields:
% 67.83/26.64 | (621) $false
% 67.83/26.64 |
% 67.83/26.64 |-The branch is then unsatisfiable
% 67.83/26.64 |-Branch two:
% 67.83/26.64 | (1290) ~ (all_293_0_594 = all_0_8_8)
% 67.83/26.64 | (1291) ? [v0] : (( ~ (v0 = 0) & ssList(all_293_1_595) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0))
% 67.83/26.64 |
% 67.83/26.64 | Instantiating (1291) with all_512_0_723 yields:
% 67.83/26.64 | (1292) ( ~ (all_512_0_723 = 0) & ssList(all_293_1_595) = all_512_0_723) | ( ~ (all_512_0_723 = 0) & ssList(all_0_14_14) = all_512_0_723)
% 67.83/26.64 |
% 67.83/26.64 +-Applying beta-rule and splitting (1292), into two cases.
% 67.83/26.64 |-Branch one:
% 67.83/26.64 | (1293) ~ (all_512_0_723 = 0) & ssList(all_293_1_595) = all_512_0_723
% 67.83/26.64 |
% 67.83/26.64 | Applying alpha-rule on (1293) yields:
% 67.83/26.64 | (1294) ~ (all_512_0_723 = 0)
% 67.83/26.64 | (1295) ssList(all_293_1_595) = all_512_0_723
% 67.83/26.64 |
% 67.83/26.64 | Instantiating formula (117) with all_293_1_595, all_512_0_723, 0 and discharging atoms ssList(all_293_1_595) = all_512_0_723, ssList(all_293_1_595) = 0, yields:
% 67.83/26.64 | (1296) all_512_0_723 = 0
% 67.83/26.64 |
% 67.83/26.64 | Equations (1296) can reduce 1294 to:
% 67.83/26.64 | (274) $false
% 67.83/26.64 |
% 67.83/26.64 |-The branch is then unsatisfiable
% 67.83/26.64 |-Branch two:
% 67.83/26.64 | (1298) ~ (all_512_0_723 = 0) & ssList(all_0_14_14) = all_512_0_723
% 67.83/26.64 |
% 67.83/26.64 | Applying alpha-rule on (1298) yields:
% 67.83/26.64 | (1294) ~ (all_512_0_723 = 0)
% 67.83/26.64 | (1300) ssList(all_0_14_14) = all_512_0_723
% 67.83/26.64 |
% 67.83/26.64 | Instantiating formula (117) with all_0_14_14, all_512_0_723, 0 and discharging atoms ssList(all_0_14_14) = all_512_0_723, ssList(all_0_14_14) = 0, yields:
% 67.83/26.64 | (1296) all_512_0_723 = 0
% 67.83/26.64 |
% 67.83/26.64 | Equations (1296) can reduce 1294 to:
% 67.83/26.64 | (274) $false
% 67.83/26.64 |
% 67.83/26.64 |-The branch is then unsatisfiable
% 67.83/26.64 |-Branch two:
% 67.83/26.64 | (1303) cons(all_120_0_49, all_293_1_595) = all_0_3_3
% 67.83/26.64 | (1304) ? [v0] : ? [v1] : (memberP(all_293_1_595, all_0_8_8) = v1 & ssList(all_293_1_595) = 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))))))
% 67.83/26.64 |
% 67.83/26.64 | Instantiating (1304) with all_458_0_724, all_458_1_725 yields:
% 67.83/26.64 | (1305) memberP(all_293_1_595, all_0_8_8) = all_458_0_724 & ssList(all_293_1_595) = all_458_1_725 & ( ~ (all_458_1_725 = 0) | (( ~ (all_0_2_2 = 0) | all_458_0_724 = 0 | all_120_0_49 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_458_0_724 = 0) & ~ (all_120_0_49 = all_0_8_8)))))
% 67.83/26.64 |
% 67.83/26.64 | Applying alpha-rule on (1305) yields:
% 67.83/26.64 | (1306) memberP(all_293_1_595, all_0_8_8) = all_458_0_724
% 67.83/26.64 | (1307) ssList(all_293_1_595) = all_458_1_725
% 67.83/26.64 | (1308) ~ (all_458_1_725 = 0) | (( ~ (all_0_2_2 = 0) | all_458_0_724 = 0 | all_120_0_49 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_458_0_724 = 0) & ~ (all_120_0_49 = all_0_8_8))))
% 67.83/26.64 |
% 67.83/26.64 +-Applying beta-rule and splitting (1203), into two cases.
% 67.83/26.64 |-Branch one:
% 67.83/26.64 | (1309) ~ (all_348_1_684 = 0)
% 67.83/26.64 |
% 67.83/26.64 | Equations (1246) can reduce 1309 to:
% 67.83/26.64 | (274) $false
% 67.83/26.64 |
% 67.83/26.64 |-The branch is then unsatisfiable
% 67.83/26.64 |-Branch two:
% 67.83/26.64 | (1246) all_348_1_684 = 0
% 67.83/26.64 | (1312) ( ~ (all_0_2_2 = 0) | all_348_0_683 = 0 | all_293_0_594 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_348_0_683 = 0) & ~ (all_293_0_594 = all_0_8_8)))
% 67.83/26.64 |
% 67.83/26.64 | Applying alpha-rule on (1312) yields:
% 67.83/26.64 | (1313) ~ (all_0_2_2 = 0) | all_348_0_683 = 0 | all_293_0_594 = all_0_8_8
% 67.83/26.64 | (1314) all_0_2_2 = 0 | ( ~ (all_348_0_683 = 0) & ~ (all_293_0_594 = all_0_8_8))
% 67.83/26.64 |
% 67.83/26.64 +-Applying beta-rule and splitting (1308), into two cases.
% 67.83/26.64 |-Branch one:
% 67.83/26.64 | (1315) ~ (all_458_1_725 = 0)
% 67.83/26.64 |
% 67.83/26.64 | Instantiating formula (117) with all_293_1_595, all_458_1_725, 0 and discharging atoms ssList(all_293_1_595) = all_458_1_725, ssList(all_293_1_595) = 0, yields:
% 67.83/26.64 | (1316) all_458_1_725 = 0
% 67.83/26.64 |
% 67.83/26.64 | Equations (1316) can reduce 1315 to:
% 67.83/26.64 | (274) $false
% 67.83/26.64 |
% 67.83/26.64 |-The branch is then unsatisfiable
% 67.83/26.64 |-Branch two:
% 67.83/26.64 | (1316) all_458_1_725 = 0
% 67.83/26.64 | (1319) ( ~ (all_0_2_2 = 0) | all_458_0_724 = 0 | all_120_0_49 = all_0_8_8) & (all_0_2_2 = 0 | ( ~ (all_458_0_724 = 0) & ~ (all_120_0_49 = all_0_8_8)))
% 67.83/26.64 |
% 67.83/26.64 | Applying alpha-rule on (1319) yields:
% 67.83/26.64 | (1320) ~ (all_0_2_2 = 0) | all_458_0_724 = 0 | all_120_0_49 = all_0_8_8
% 67.83/26.64 | (1321) all_0_2_2 = 0 | ( ~ (all_458_0_724 = 0) & ~ (all_120_0_49 = all_0_8_8))
% 67.83/26.64 |
% 67.83/26.64 +-Applying beta-rule and splitting (1314), into two cases.
% 67.83/26.64 |-Branch one:
% 67.83/26.64 | (469) all_0_2_2 = 0
% 67.83/26.64 |
% 67.83/26.64 | Equations (469) can reduce 1172 to:
% 67.83/26.64 | (274) $false
% 67.83/26.64 |
% 67.83/26.64 |-The branch is then unsatisfiable
% 67.83/26.64 |-Branch two:
% 67.83/26.64 | (1172) ~ (all_0_2_2 = 0)
% 67.83/26.64 | (1325) ~ (all_348_0_683 = 0) & ~ (all_293_0_594 = all_0_8_8)
% 67.83/26.64 |
% 67.83/26.64 +-Applying beta-rule and splitting (1321), into two cases.
% 67.83/26.64 |-Branch one:
% 67.83/26.64 | (469) all_0_2_2 = 0
% 67.83/26.64 |
% 67.83/26.64 | Equations (469) can reduce 1172 to:
% 67.83/26.64 | (274) $false
% 67.83/26.64 |
% 67.83/26.64 |-The branch is then unsatisfiable
% 67.83/26.64 |-Branch two:
% 67.83/26.64 | (1172) ~ (all_0_2_2 = 0)
% 67.83/26.64 | (1329) ~ (all_458_0_724 = 0) & ~ (all_120_0_49 = all_0_8_8)
% 67.83/26.64 |
% 67.83/26.64 | Applying alpha-rule on (1329) yields:
% 67.83/26.64 | (1330) ~ (all_458_0_724 = 0)
% 67.83/26.64 | (1331) ~ (all_120_0_49 = all_0_8_8)
% 67.83/26.64 |
% 67.83/26.64 | Equations (600) can reduce 1331 to:
% 67.83/26.64 | (274) $false
% 67.83/26.64 |
% 67.83/26.64 |-The branch is then unsatisfiable
% 67.83/26.65 |-Branch two:
% 67.83/26.65 | (1331) ~ (all_120_0_49 = all_0_8_8)
% 67.83/26.65 | (1334) ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 67.83/26.65 |
% 67.83/26.65 +-Applying beta-rule and splitting (1185), into two cases.
% 67.83/26.65 |-Branch one:
% 67.83/26.65 | (1335) ~ (cons(all_120_0_49, nil) = all_0_7_7)
% 67.83/26.65 |
% 67.83/26.65 +-Applying beta-rule and splitting (1235), into two cases.
% 67.83/26.65 |-Branch one:
% 67.83/26.65 | (1336) ~ (all_370_1_706 = 0)
% 67.83/26.65 |
% 67.83/26.65 | Equations (1247) can reduce 1336 to:
% 67.83/26.65 | (274) $false
% 67.83/26.65 |
% 67.83/26.65 |-The branch is then unsatisfiable
% 67.83/26.65 |-Branch two:
% 67.83/26.65 | (1247) all_370_1_706 = 0
% 67.83/26.65 | (1339) all_370_0_705 = all_120_1_50
% 67.83/26.65 |
% 67.83/26.65 | Combining equations (1244,1339) yields a new equation:
% 67.83/26.65 | (617) all_120_1_50 = nil
% 67.83/26.65 |
% 67.83/26.65 | From (617) and (357) follows:
% 67.83/26.65 | (1341) cons(all_120_0_49, nil) = all_0_7_7
% 67.83/26.65 |
% 67.83/26.65 | Using (1341) and (1335) yields:
% 67.83/26.65 | (621) $false
% 67.83/26.65 |
% 67.83/26.65 |-The branch is then unsatisfiable
% 67.83/26.65 |-Branch two:
% 67.83/26.65 | (1341) cons(all_120_0_49, nil) = all_0_7_7
% 67.83/26.65 | (1186) 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))
% 67.83/26.65 |
% 67.83/26.65 +-Applying beta-rule and splitting (1186), into two cases.
% 67.83/26.65 |-Branch one:
% 67.83/26.65 | (600) all_120_0_49 = all_0_8_8
% 67.83/26.65 |
% 67.83/26.65 | Equations (600) can reduce 1331 to:
% 67.83/26.65 | (274) $false
% 67.83/26.65 |
% 67.83/26.65 |-The branch is then unsatisfiable
% 67.83/26.65 |-Branch two:
% 67.83/26.65 | (1331) ~ (all_120_0_49 = all_0_8_8)
% 67.83/26.65 | (1334) ? [v0] : (( ~ (v0 = 0) & ssItem(all_120_0_49) = v0) | ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0))
% 67.83/26.65 |
% 67.83/26.65 +-Applying beta-rule and splitting (1231), into two cases.
% 67.83/26.65 |-Branch one:
% 67.83/26.65 | (1349) ~ (all_368_1_704 = 0)
% 67.83/26.65 |
% 67.83/26.65 | Equations (1261) can reduce 1349 to:
% 67.83/26.65 | (274) $false
% 67.83/26.65 |
% 67.83/26.65 |-The branch is then unsatisfiable
% 67.83/26.65 |-Branch two:
% 67.83/26.65 | (1261) all_368_1_704 = 0
% 67.83/26.65 | (1352) all_368_0_703 = all_120_0_49
% 67.83/26.65 |
% 67.83/26.65 | Combining equations (1352,1245) yields a new equation:
% 67.83/26.65 | (599) all_120_0_49 = all_0_8_8
% 67.83/26.65 |
% 67.83/26.65 | Simplifying 599 yields:
% 67.83/26.65 | (600) all_120_0_49 = all_0_8_8
% 67.83/26.65 |
% 67.83/26.65 | Equations (600) can reduce 1331 to:
% 67.83/26.65 | (274) $false
% 67.83/26.65 |
% 67.83/26.65 |-The branch is then unsatisfiable
% 67.83/26.65 |-Branch two:
% 67.83/26.65 | (1035) app(all_0_5_5, nil) = all_0_14_14
% 67.83/26.65 | (1036) all_0_5_5 = all_0_14_14 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 67.83/26.65 |
% 67.83/26.65 +-Applying beta-rule and splitting (1036), into two cases.
% 67.83/26.65 |-Branch one:
% 67.83/26.65 | (1037) all_0_5_5 = all_0_14_14
% 67.83/26.65 |
% 67.83/26.65 | From (1037) and (289) follows:
% 67.83/26.65 | (141) ssList(all_0_14_14) = 0
% 67.83/26.65 |
% 67.83/26.65 | From (1037) and (20) follows:
% 67.83/26.65 | (1039) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 67.83/26.65 |
% 67.83/26.65 | From (1037) and (1035) follows:
% 68.02/26.65 | (1040) app(all_0_14_14, nil) = all_0_14_14
% 68.02/26.65 |
% 68.02/26.65 | From (1037) and (151) follows:
% 68.02/26.65 | (1041) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 68.02/26.65 |
% 68.02/26.65 +-Applying beta-rule and splitting (330), into two cases.
% 68.02/26.65 |-Branch one:
% 68.02/26.65 | (1042) ~ (app(all_0_6_6, all_0_7_7) = all_0_14_14)
% 68.02/26.65 |
% 68.02/26.65 | Using (1041) and (1042) yields:
% 68.02/26.65 | (621) $false
% 68.02/26.65 |
% 68.02/26.65 |-The branch is then unsatisfiable
% 68.02/26.65 |-Branch two:
% 68.02/26.65 | (1041) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 68.02/26.65 | (1045) 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))
% 68.02/26.65 |
% 68.02/26.65 +-Applying beta-rule and splitting (1045), into two cases.
% 68.02/26.65 |-Branch one:
% 68.02/26.65 | (1066) all_8_1_17 = all_0_7_7
% 68.02/26.65 |
% 68.02/26.65 | Combining equations (1066,433) yields a new equation:
% 68.02/26.65 | (1368) all_110_0_43 = all_0_7_7
% 68.02/26.65 |
% 68.02/26.65 | From (1066) and (451) follows:
% 68.02/26.65 | (305) hd(all_0_7_7) = all_0_8_8
% 68.02/26.65 |
% 68.02/26.65 | From (1066) and (429) follows:
% 68.02/26.65 | (284) ssList(all_0_7_7) = 0
% 68.02/26.65 |
% 68.02/26.65 | From (1066) and (434) follows:
% 68.02/26.65 | (1371) cons(all_0_8_8, all_0_3_3) = all_0_7_7
% 68.02/26.65 |
% 68.02/26.65 | From (1066) and (321) follows:
% 68.02/26.65 | (1041) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 68.02/26.65 |
% 68.02/26.65 | From (1066) and (299) follows:
% 68.02/26.65 | (1067) app(all_0_7_7, all_0_3_3) = all_0_7_7
% 68.02/26.65 |
% 68.02/26.65 +-Applying beta-rule and splitting (324), into two cases.
% 68.02/26.65 |-Branch one:
% 68.02/26.65 | (1046) ~ (app(all_0_14_14, all_0_3_3) = all_0_14_14)
% 68.02/26.65 |
% 68.02/26.65 | Using (1039) and (1046) yields:
% 68.02/26.65 | (621) $false
% 68.02/26.65 |
% 68.02/26.65 |-The branch is then unsatisfiable
% 68.02/26.65 |-Branch two:
% 68.02/26.65 | (1039) app(all_0_14_14, all_0_3_3) = all_0_14_14
% 68.02/26.65 | (1054) ? [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)))
% 68.02/26.65 |
% 68.02/26.65 | Instantiating (1054) with all_305_0_732, all_305_1_733, all_305_2_734 yields:
% 68.02/26.65 | (1378) ( ~ (all_305_2_734 = 0) & ssList(all_0_3_3) = all_305_2_734) | (ssList(all_0_3_3) = all_305_2_734 & app(all_0_3_3, all_0_3_3) = all_305_1_733 & app(all_0_14_14, all_305_1_733) = all_305_0_732 & ( ~ (all_305_2_734 = 0) | all_305_0_732 = all_0_14_14))
% 68.02/26.66 |
% 68.02/26.66 +-Applying beta-rule and splitting (333), into two cases.
% 68.02/26.66 |-Branch one:
% 68.02/26.66 | (1068) ~ (app(all_0_7_7, all_0_3_3) = all_0_7_7)
% 68.02/26.66 |
% 68.02/26.66 | Using (1067) and (1068) yields:
% 68.02/26.66 | (621) $false
% 68.02/26.66 |
% 68.02/26.66 |-The branch is then unsatisfiable
% 68.02/26.66 |-Branch two:
% 68.02/26.66 | (1067) app(all_0_7_7, all_0_3_3) = all_0_7_7
% 68.02/26.66 | (1071) ? [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)))
% 68.02/26.66 |
% 68.02/26.66 | Instantiating (1071) with all_309_0_735, all_309_1_736, all_309_2_737 yields:
% 68.02/26.66 | (1383) ( ~ (all_309_2_737 = 0) & ssList(all_0_3_3) = all_309_2_737) | (ssList(all_0_3_3) = all_309_2_737 & app(all_0_3_3, all_0_3_3) = all_309_1_736 & app(all_0_7_7, all_309_1_736) = all_309_0_735 & ( ~ (all_309_2_737 = 0) | all_309_0_735 = all_0_7_7))
% 68.02/26.66 |
% 68.02/26.66 +-Applying beta-rule and splitting (1383), into two cases.
% 68.02/26.66 |-Branch one:
% 68.02/26.66 | (1384) ~ (all_309_2_737 = 0) & ssList(all_0_3_3) = all_309_2_737
% 68.02/26.66 |
% 68.02/26.66 | Applying alpha-rule on (1384) yields:
% 68.02/26.66 | (1385) ~ (all_309_2_737 = 0)
% 68.02/26.66 | (1386) ssList(all_0_3_3) = all_309_2_737
% 68.02/26.66 |
% 68.02/26.66 | Instantiating formula (117) with all_0_3_3, all_309_2_737, 0 and discharging atoms ssList(all_0_3_3) = all_309_2_737, ssList(all_0_3_3) = 0, yields:
% 68.02/26.66 | (1387) all_309_2_737 = 0
% 68.02/26.66 |
% 68.02/26.66 | Equations (1387) can reduce 1385 to:
% 68.02/26.66 | (274) $false
% 68.02/26.66 |
% 68.02/26.66 |-The branch is then unsatisfiable
% 68.02/26.66 |-Branch two:
% 68.02/26.66 | (1389) ssList(all_0_3_3) = all_309_2_737 & app(all_0_3_3, all_0_3_3) = all_309_1_736 & app(all_0_7_7, all_309_1_736) = all_309_0_735 & ( ~ (all_309_2_737 = 0) | all_309_0_735 = all_0_7_7)
% 68.02/26.66 |
% 68.02/26.66 | Applying alpha-rule on (1389) yields:
% 68.02/26.66 | (1386) ssList(all_0_3_3) = all_309_2_737
% 68.02/26.66 | (1391) app(all_0_3_3, all_0_3_3) = all_309_1_736
% 68.02/26.66 | (1392) app(all_0_7_7, all_309_1_736) = all_309_0_735
% 68.02/26.66 | (1393) ~ (all_309_2_737 = 0) | all_309_0_735 = all_0_7_7
% 68.02/26.66 |
% 68.02/26.66 | Instantiating formula (117) with all_0_3_3, all_309_2_737, 0 and discharging atoms ssList(all_0_3_3) = all_309_2_737, ssList(all_0_3_3) = 0, yields:
% 68.02/26.66 | (1387) all_309_2_737 = 0
% 68.02/26.66 |
% 68.02/26.66 | From (1387) and (1386) follows:
% 68.05/26.66 | (111) ssList(all_0_3_3) = 0
% 68.05/26.66 |
% 68.05/26.66 +-Applying beta-rule and splitting (1378), into two cases.
% 68.05/26.66 |-Branch one:
% 68.05/26.66 | (1396) ~ (all_305_2_734 = 0) & ssList(all_0_3_3) = all_305_2_734
% 68.05/26.66 |
% 68.05/26.66 | Applying alpha-rule on (1396) yields:
% 68.05/26.66 | (1397) ~ (all_305_2_734 = 0)
% 68.05/26.66 | (1398) ssList(all_0_3_3) = all_305_2_734
% 68.05/26.66 |
% 68.05/26.66 | Instantiating formula (117) with all_0_3_3, all_305_2_734, 0 and discharging atoms ssList(all_0_3_3) = all_305_2_734, ssList(all_0_3_3) = 0, yields:
% 68.05/26.66 | (1399) all_305_2_734 = 0
% 68.05/26.66 |
% 68.05/26.66 | Equations (1399) can reduce 1397 to:
% 68.05/26.66 | (274) $false
% 68.05/26.66 |
% 68.05/26.66 |-The branch is then unsatisfiable
% 68.05/26.66 |-Branch two:
% 68.05/26.66 | (1401) ssList(all_0_3_3) = all_305_2_734 & app(all_0_3_3, all_0_3_3) = all_305_1_733 & app(all_0_14_14, all_305_1_733) = all_305_0_732 & ( ~ (all_305_2_734 = 0) | all_305_0_732 = all_0_14_14)
% 68.05/26.66 |
% 68.05/26.66 | Applying alpha-rule on (1401) yields:
% 68.05/26.66 | (1398) ssList(all_0_3_3) = all_305_2_734
% 68.05/26.66 | (1403) app(all_0_3_3, all_0_3_3) = all_305_1_733
% 68.05/26.66 | (1404) app(all_0_14_14, all_305_1_733) = all_305_0_732
% 68.05/26.66 | (1405) ~ (all_305_2_734 = 0) | all_305_0_732 = all_0_14_14
% 68.05/26.66 |
% 68.05/26.66 | Instantiating formula (117) with all_0_3_3, all_305_2_734, 0 and discharging atoms ssList(all_0_3_3) = all_305_2_734, ssList(all_0_3_3) = 0, yields:
% 68.05/26.66 | (1399) all_305_2_734 = 0
% 68.05/26.66 |
% 68.05/26.66 | From (1399) and (1398) follows:
% 68.05/26.66 | (111) ssList(all_0_3_3) = 0
% 68.05/26.66 |
% 68.05/26.66 +-Applying beta-rule and splitting (155), into two cases.
% 68.05/26.66 |-Branch one:
% 68.05/26.66 | (473) all_0_3_3 = nil
% 68.05/26.66 |
% 68.05/26.66 | From (473) and (111) follows:
% 68.05/26.66 | (41) ssList(nil) = 0
% 68.05/26.66 |
% 68.05/26.66 | Instantiating formula (25) 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:
% 68.05/26.66 | (1410) ? [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))
% 68.05/26.66 |
% 68.05/26.66 | Instantiating formula (100) 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:
% 68.05/26.66 | (484) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_1_50))
% 68.05/26.66 |
% 68.05/26.66 | Instantiating formula (87) 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:
% 68.05/26.66 | (485) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_120_0_49) = v0 & ( ~ (v0 = 0) | v1 = all_120_0_49))
% 68.05/26.66 |
% 68.05/26.66 | Instantiating formula (100) 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:
% 68.05/26.66 | (486) ? [v0] : ? [v1] : (tl(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 68.05/26.66 |
% 68.05/26.66 | Instantiating formula (87) 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:
% 68.05/26.66 | (487) ? [v0] : ? [v1] : (hd(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = all_0_12_12))
% 68.05/26.66 |
% 68.05/26.66 | Instantiating formula (5) with all_0_14_14, all_0_12_12 and discharging atoms cons(all_0_12_12, nil) = all_0_14_14, yields:
% 68.05/26.66 | (489) ? [v0] : ? [v1] : (duplicatefreeP(all_0_14_14) = v1 & ssItem(all_0_12_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 68.05/26.66 |
% 68.05/26.66 | Instantiating (489) with all_387_0_805, all_387_1_806 yields:
% 68.05/26.66 | (1416) duplicatefreeP(all_0_14_14) = all_387_0_805 & ssItem(all_0_12_12) = all_387_1_806 & ( ~ (all_387_1_806 = 0) | all_387_0_805 = 0)
% 68.05/26.66 |
% 68.05/26.66 | Applying alpha-rule on (1416) yields:
% 68.05/26.66 | (1417) duplicatefreeP(all_0_14_14) = all_387_0_805
% 68.05/26.66 | (1418) ssItem(all_0_12_12) = all_387_1_806
% 68.05/26.66 | (1419) ~ (all_387_1_806 = 0) | all_387_0_805 = 0
% 68.05/26.66 |
% 68.05/26.66 | Instantiating (487) with all_389_0_807, all_389_1_808 yields:
% 68.05/26.66 | (1420) hd(all_0_14_14) = all_389_0_807 & ssItem(all_0_12_12) = all_389_1_808 & ( ~ (all_389_1_808 = 0) | all_389_0_807 = all_0_12_12)
% 68.05/26.66 |
% 68.05/26.66 | Applying alpha-rule on (1420) yields:
% 68.05/26.67 | (1421) hd(all_0_14_14) = all_389_0_807
% 68.05/26.67 | (1422) ssItem(all_0_12_12) = all_389_1_808
% 68.05/26.67 | (1423) ~ (all_389_1_808 = 0) | all_389_0_807 = all_0_12_12
% 68.05/26.67 |
% 68.05/26.67 | Instantiating (1410) with all_400_0_823, all_400_1_824, all_400_2_825, all_400_3_826, all_400_4_827, all_400_5_828 yields:
% 68.05/26.67 | (1424) (all_400_0_823 = all_0_6_6 & all_400_2_825 = 0 & all_400_4_827 = 0 & ssList(all_400_3_826) = 0 & ssList(all_400_5_828) = 0 & cons(all_0_8_8, all_400_3_826) = all_400_1_824 & app(all_400_5_828, all_400_1_824) = all_0_6_6) | ( ~ (all_400_5_828 = 0) & ssItem(all_0_8_8) = all_400_5_828)
% 68.05/26.67 |
% 68.05/26.67 | Instantiating (486) with all_403_0_831, all_403_1_832 yields:
% 68.05/26.67 | (1425) tl(all_0_14_14) = all_403_0_831 & ssItem(all_0_12_12) = all_403_1_832 & ( ~ (all_403_1_832 = 0) | all_403_0_831 = nil)
% 68.05/26.67 |
% 68.05/26.67 | Applying alpha-rule on (1425) yields:
% 68.05/26.67 | (1426) tl(all_0_14_14) = all_403_0_831
% 68.05/26.67 | (1427) ssItem(all_0_12_12) = all_403_1_832
% 68.05/26.67 | (1428) ~ (all_403_1_832 = 0) | all_403_0_831 = nil
% 68.05/26.67 |
% 68.05/26.67 | Instantiating (485) with all_407_0_835, all_407_1_836 yields:
% 68.05/26.67 | (1429) hd(all_0_7_7) = all_407_0_835 & ssItem(all_120_0_49) = all_407_1_836 & ( ~ (all_407_1_836 = 0) | all_407_0_835 = all_120_0_49)
% 68.05/26.67 |
% 68.05/26.67 | Applying alpha-rule on (1429) yields:
% 68.05/26.67 | (1430) hd(all_0_7_7) = all_407_0_835
% 68.05/26.67 | (1431) ssItem(all_120_0_49) = all_407_1_836
% 68.05/26.67 | (1432) ~ (all_407_1_836 = 0) | all_407_0_835 = all_120_0_49
% 68.05/26.67 |
% 68.05/26.67 | Instantiating (484) with all_409_0_837, all_409_1_838 yields:
% 68.05/26.67 | (1433) tl(all_0_7_7) = all_409_0_837 & ssItem(all_120_0_49) = all_409_1_838 & ( ~ (all_409_1_838 = 0) | all_409_0_837 = all_120_1_50)
% 68.05/26.67 |
% 68.05/26.67 | Applying alpha-rule on (1433) yields:
% 68.05/26.67 | (1434) tl(all_0_7_7) = all_409_0_837
% 68.05/26.67 | (1435) ssItem(all_120_0_49) = all_409_1_838
% 68.05/26.67 | (1436) ~ (all_409_1_838 = 0) | all_409_0_837 = all_120_1_50
% 68.05/26.67 |
% 68.05/26.67 +-Applying beta-rule and splitting (1424), into two cases.
% 68.05/26.67 |-Branch one:
% 68.05/26.67 | (1437) all_400_0_823 = all_0_6_6 & all_400_2_825 = 0 & all_400_4_827 = 0 & ssList(all_400_3_826) = 0 & ssList(all_400_5_828) = 0 & cons(all_0_8_8, all_400_3_826) = all_400_1_824 & app(all_400_5_828, all_400_1_824) = all_0_6_6
% 68.05/26.67 |
% 68.05/26.67 | Applying alpha-rule on (1437) yields:
% 68.05/26.67 | (1438) ssList(all_400_5_828) = 0
% 68.05/26.67 | (1439) ssList(all_400_3_826) = 0
% 68.05/26.67 | (1440) all_400_0_823 = all_0_6_6
% 68.05/26.67 | (1441) all_400_4_827 = 0
% 68.05/26.67 | (1442) all_400_2_825 = 0
% 68.05/26.67 | (1443) app(all_400_5_828, all_400_1_824) = all_0_6_6
% 68.05/26.67 | (1444) cons(all_0_8_8, all_400_3_826) = all_400_1_824
% 68.05/26.67 |
% 68.05/26.67 | Instantiating formula (116) with all_0_7_7, all_409_0_837, nil and discharging atoms tl(all_0_7_7) = all_409_0_837, tl(all_0_7_7) = nil, yields:
% 68.05/26.67 | (1445) all_409_0_837 = nil
% 68.05/26.67 |
% 68.05/26.67 | Instantiating formula (42) with all_0_7_7, all_407_0_835, all_0_8_8 and discharging atoms hd(all_0_7_7) = all_407_0_835, hd(all_0_7_7) = all_0_8_8, yields:
% 68.05/26.67 | (1446) all_407_0_835 = all_0_8_8
% 68.05/26.67 |
% 68.05/26.67 | Instantiating formula (83) with all_120_0_49, all_409_1_838, 0 and discharging atoms ssItem(all_120_0_49) = all_409_1_838, ssItem(all_120_0_49) = 0, yields:
% 68.05/26.67 | (1447) all_409_1_838 = 0
% 68.05/26.67 |
% 68.05/26.67 | Instantiating formula (83) with all_120_0_49, all_407_1_836, all_409_1_838 and discharging atoms ssItem(all_120_0_49) = all_409_1_838, ssItem(all_120_0_49) = all_407_1_836, yields:
% 68.05/26.67 | (1448) all_409_1_838 = all_407_1_836
% 68.05/26.67 |
% 68.05/26.67 | Instantiating formula (83) with all_0_12_12, all_403_1_832, 0 and discharging atoms ssItem(all_0_12_12) = all_403_1_832, ssItem(all_0_12_12) = 0, yields:
% 68.05/26.67 | (1449) all_403_1_832 = 0
% 68.05/26.67 |
% 68.05/26.67 | Instantiating formula (83) with all_0_12_12, all_389_1_808, all_403_1_832 and discharging atoms ssItem(all_0_12_12) = all_403_1_832, ssItem(all_0_12_12) = all_389_1_808, yields:
% 68.05/26.67 | (1450) all_403_1_832 = all_389_1_808
% 68.05/26.67 |
% 68.05/26.67 | Instantiating formula (83) with all_0_12_12, all_387_1_806, all_403_1_832 and discharging atoms ssItem(all_0_12_12) = all_403_1_832, ssItem(all_0_12_12) = all_387_1_806, yields:
% 68.05/26.67 | (1451) all_403_1_832 = all_387_1_806
% 68.05/26.67 |
% 68.05/26.67 | Combining equations (1447,1448) yields a new equation:
% 68.05/26.67 | (1452) all_407_1_836 = 0
% 68.05/26.67 |
% 68.05/26.67 | Combining equations (1451,1450) yields a new equation:
% 68.05/26.67 | (1453) all_389_1_808 = all_387_1_806
% 68.05/26.67 |
% 68.05/26.67 | Combining equations (1449,1450) yields a new equation:
% 68.05/26.67 | (1454) all_389_1_808 = 0
% 68.05/26.67 |
% 68.05/26.67 | Combining equations (1453,1454) yields a new equation:
% 68.05/26.67 | (1455) all_387_1_806 = 0
% 68.05/26.67 |
% 68.05/26.67 | Simplifying 1455 yields:
% 68.05/26.67 | (1456) all_387_1_806 = 0
% 68.05/26.67 |
% 68.05/26.67 | Combining equations (1452,1448) yields a new equation:
% 68.05/26.67 | (1447) all_409_1_838 = 0
% 68.05/26.67 |
% 68.05/26.67 | From (1452) and (1431) follows:
% 68.05/26.67 | (358) ssItem(all_120_0_49) = 0
% 68.05/26.67 |
% 68.05/26.67 +-Applying beta-rule and splitting (1432), into two cases.
% 68.05/26.67 |-Branch one:
% 68.05/26.67 | (1459) ~ (all_407_1_836 = 0)
% 68.05/26.67 |
% 68.05/26.67 | Equations (1452) can reduce 1459 to:
% 68.05/26.67 | (274) $false
% 68.05/26.67 |
% 68.05/26.67 |-The branch is then unsatisfiable
% 68.05/26.67 |-Branch two:
% 68.05/26.67 | (1452) all_407_1_836 = 0
% 68.05/26.67 | (1462) all_407_0_835 = all_120_0_49
% 68.05/26.67 |
% 68.05/26.67 | Combining equations (1446,1462) yields a new equation:
% 68.05/26.67 | (600) all_120_0_49 = all_0_8_8
% 68.05/26.67 |
% 68.05/26.67 | From (600) and (357) follows:
% 68.05/26.67 | (601) cons(all_0_8_8, all_120_1_50) = all_0_7_7
% 68.05/26.67 |
% 68.05/26.67 | From (600) and (358) follows:
% 68.05/26.67 | (9) ssItem(all_0_8_8) = 0
% 68.05/26.67 |
% 68.05/26.67 +-Applying beta-rule and splitting (1419), into two cases.
% 68.05/26.67 |-Branch one:
% 68.05/26.68 | (1466) ~ (all_387_1_806 = 0)
% 68.05/26.68 |
% 68.05/26.68 | Equations (1456) can reduce 1466 to:
% 68.05/26.68 | (274) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (1456) all_387_1_806 = 0
% 68.05/26.68 | (1469) all_387_0_805 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (1469) and (1417) follows:
% 68.05/26.68 | (631) duplicatefreeP(all_0_14_14) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (1436), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (1471) ~ (all_409_1_838 = 0)
% 68.05/26.68 |
% 68.05/26.68 | Equations (1447) can reduce 1471 to:
% 68.05/26.68 | (274) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (1447) all_409_1_838 = 0
% 68.05/26.68 | (1474) all_409_0_837 = all_120_1_50
% 68.05/26.68 |
% 68.05/26.68 | Combining equations (1445,1474) yields a new equation:
% 68.05/26.68 | (617) all_120_1_50 = nil
% 68.05/26.68 |
% 68.05/26.68 | From (617) and (356) follows:
% 68.05/26.68 | (41) ssList(nil) = 0
% 68.05/26.68 |
% 68.05/26.68 | From (617) and (601) follows:
% 68.05/26.68 | (80) cons(all_0_8_8, nil) = all_0_7_7
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (225), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (700) ~ (ssList(all_0_14_14) = all_9_0_19)
% 68.05/26.68 |
% 68.05/26.68 | From (288) and (700) follows:
% 68.05/26.68 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (141) and (641) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (703) ssList(all_0_14_14) = all_9_0_19
% 68.05/26.68 | (288) all_9_0_19 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (288) and (703) follows:
% 68.05/26.68 | (141) ssList(all_0_14_14) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (232), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (284) and (633) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (284) ssList(all_0_7_7) = 0
% 68.05/26.68 | (283) all_9_1_20 = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (227), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (284) and (633) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (284) ssList(all_0_7_7) = 0
% 68.05/26.68 | (281) all_21_0_31 = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (234), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (694) ~ (ssList(all_0_14_14) = all_9_1_20)
% 68.05/26.68 |
% 68.05/26.68 | From (283) and (694) follows:
% 68.05/26.68 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (141) and (641) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (697) ssList(all_0_14_14) = all_9_1_20
% 68.05/26.68 | (283) all_9_1_20 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (283) and (697) follows:
% 68.05/26.68 | (141) ssList(all_0_14_14) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (229), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (640) ~ (ssList(all_0_14_14) = all_21_0_31)
% 68.05/26.68 |
% 68.05/26.68 | From (281) and (640) follows:
% 68.05/26.68 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (141) and (641) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (643) ssList(all_0_14_14) = all_21_0_31
% 68.05/26.68 | (281) all_21_0_31 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (281) and (643) follows:
% 68.05/26.68 | (141) ssList(all_0_14_14) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (233), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (646) ~ (ssList(all_0_13_13) = all_9_1_20)
% 68.05/26.68 |
% 68.05/26.68 | From (283) and (646) follows:
% 68.05/26.68 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (63) and (647) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (649) ssList(all_0_13_13) = all_9_1_20
% 68.05/26.68 | (283) all_9_1_20 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (283) and (649) follows:
% 68.05/26.68 | (63) ssList(all_0_13_13) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (222), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (712) ~ (ssList(all_0_5_5) = 0)
% 68.05/26.68 |
% 68.05/26.68 | From (1037) and (712) follows:
% 68.05/26.68 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (141) and (641) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (289) ssList(all_0_5_5) = 0
% 68.05/26.68 | (288) all_9_0_19 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (1037) and (289) follows:
% 68.05/26.68 | (141) ssList(all_0_14_14) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (228), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (656) ~ (ssList(all_0_13_13) = all_21_0_31)
% 68.05/26.68 |
% 68.05/26.68 | From (281) and (656) follows:
% 68.05/26.68 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (63) and (647) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (659) ssList(all_0_13_13) = all_21_0_31
% 68.05/26.68 | (281) all_21_0_31 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (281) and (659) follows:
% 68.05/26.68 | (63) ssList(all_0_13_13) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (235), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (688) ~ (ssList(nil) = all_9_1_20)
% 68.05/26.68 |
% 68.05/26.68 | From (283) and (688) follows:
% 68.05/26.68 | (669) ~ (ssList(nil) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (41) and (669) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (691) ssList(nil) = all_9_1_20
% 68.05/26.68 | (283) all_9_1_20 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (283) and (691) follows:
% 68.05/26.68 | (41) ssList(nil) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (231), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (632) ~ (ssList(all_0_7_7) = all_9_0_19)
% 68.05/26.68 |
% 68.05/26.68 | From (288) and (632) follows:
% 68.05/26.68 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (284) and (633) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (635) ssList(all_0_7_7) = all_9_0_19
% 68.05/26.68 | (636) all_21_0_31 = all_9_0_19
% 68.05/26.68 |
% 68.05/26.68 | Combining equations (636,281) yields a new equation:
% 68.05/26.68 | (1533) all_9_0_19 = 0
% 68.05/26.68 |
% 68.05/26.68 | Simplifying 1533 yields:
% 68.05/26.68 | (288) all_9_0_19 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (288) and (635) follows:
% 68.05/26.68 | (284) ssList(all_0_7_7) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (230), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (668) ~ (ssList(nil) = all_21_0_31)
% 68.05/26.68 |
% 68.05/26.68 | From (281) and (668) follows:
% 68.05/26.68 | (669) ~ (ssList(nil) = 0)
% 68.05/26.68 |
% 68.05/26.68 | Using (41) and (669) yields:
% 68.05/26.68 | (621) $false
% 68.05/26.68 |
% 68.05/26.68 |-The branch is then unsatisfiable
% 68.05/26.68 |-Branch two:
% 68.05/26.68 | (671) ssList(nil) = all_21_0_31
% 68.05/26.68 | (281) all_21_0_31 = 0
% 68.05/26.68 |
% 68.05/26.68 | From (281) and (671) follows:
% 68.05/26.68 | (41) ssList(nil) = 0
% 68.05/26.68 |
% 68.05/26.68 +-Applying beta-rule and splitting (226), into two cases.
% 68.05/26.68 |-Branch one:
% 68.05/26.68 | (682) ~ (ssList(nil) = all_9_0_19)
% 68.05/26.69 |
% 68.05/26.69 | From (288) and (682) follows:
% 68.05/26.69 | (669) ~ (ssList(nil) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (41) and (669) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (685) ssList(nil) = all_9_0_19
% 68.05/26.69 | (288) all_9_0_19 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (288) and (685) follows:
% 68.05/26.69 | (41) ssList(nil) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (223), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (662) ~ (ssList(all_0_6_6) = all_9_0_19)
% 68.05/26.69 |
% 68.05/26.69 | From (288) and (662) follows:
% 68.05/26.69 | (663) ~ (ssList(all_0_6_6) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (138) and (663) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (665) ssList(all_0_6_6) = all_9_0_19
% 68.05/26.69 | (288) all_9_0_19 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (288) and (665) follows:
% 68.05/26.69 | (138) ssList(all_0_6_6) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (224), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (706) ~ (ssList(all_0_13_13) = all_9_0_19)
% 68.05/26.69 |
% 68.05/26.69 | From (288) and (706) follows:
% 68.05/26.69 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (63) and (647) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (709) ssList(all_0_13_13) = all_9_0_19
% 68.05/26.69 | (288) all_9_0_19 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (288) and (709) follows:
% 68.05/26.69 | (63) ssList(all_0_13_13) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (236), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (632) ~ (ssList(all_0_7_7) = all_9_0_19)
% 68.05/26.69 |
% 68.05/26.69 | From (288) and (632) follows:
% 68.05/26.69 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (284) and (633) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (635) ssList(all_0_7_7) = all_9_0_19
% 68.05/26.69 | (678) all_9_0_19 = all_9_1_20
% 68.05/26.69 |
% 68.05/26.69 | From (288) and (635) follows:
% 68.05/26.69 | (284) ssList(all_0_7_7) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (309), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (726) ~ (ssList(all_0_14_14) = all_8_2_18)
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (726) follows:
% 68.05/26.69 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (141) and (641) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (729) ssList(all_0_14_14) = all_8_2_18
% 68.05/26.69 | (294) all_8_2_18 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (729) follows:
% 68.05/26.69 | (141) ssList(all_0_14_14) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (307), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (744) ~ (ssList(all_0_6_6) = all_8_2_18)
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (744) follows:
% 68.05/26.69 | (663) ~ (ssList(all_0_6_6) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (138) and (663) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (747) ssList(all_0_6_6) = all_8_2_18
% 68.05/26.69 | (294) all_8_2_18 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (747) follows:
% 68.05/26.69 | (138) ssList(all_0_6_6) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (308), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (720) ~ (ssList(all_0_13_13) = all_8_2_18)
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (720) follows:
% 68.05/26.69 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (63) and (647) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (723) ssList(all_0_13_13) = all_8_2_18
% 68.05/26.69 | (294) all_8_2_18 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (723) follows:
% 68.05/26.69 | (63) ssList(all_0_13_13) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (312), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (750) ~ (ssList(all_0_7_7) = all_8_2_18)
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (750) follows:
% 68.05/26.69 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (284) and (633) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (293) ssList(all_0_7_7) = all_8_2_18
% 68.05/26.69 | (294) all_8_2_18 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (293) follows:
% 68.05/26.69 | (284) ssList(all_0_7_7) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (310), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (738) ~ (ssList(nil) = all_8_2_18)
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (738) follows:
% 68.05/26.69 | (669) ~ (ssList(nil) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (41) and (669) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (741) ssList(nil) = all_8_2_18
% 68.05/26.69 | (294) all_8_2_18 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (294) and (741) follows:
% 68.05/26.69 | (41) ssList(nil) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (311), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (732) ~ (ssList(all_0_5_5) = all_8_2_18)
% 68.05/26.69 |
% 68.05/26.69 | From (1037)(294) and (732) follows:
% 68.05/26.69 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (141) and (641) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (735) ssList(all_0_5_5) = all_8_2_18
% 68.05/26.69 | (294) all_8_2_18 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (1037)(294) and (735) follows:
% 68.05/26.69 | (141) ssList(all_0_14_14) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (313), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (1602) ~ (app(all_0_6_6, all_0_7_7) = all_8_0_16)
% 68.05/26.69 |
% 68.05/26.69 | From (320) and (1602) follows:
% 68.05/26.69 | (1042) ~ (app(all_0_6_6, all_0_7_7) = all_0_14_14)
% 68.05/26.69 |
% 68.05/26.69 | Using (1041) and (1042) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (1605) app(all_0_6_6, all_0_7_7) = all_8_0_16
% 68.05/26.69 | (1606) all_8_0_16 = all_0_5_5
% 68.05/26.69 |
% 68.05/26.69 | Combining equations (1606,320) yields a new equation:
% 68.05/26.69 | (1607) all_0_5_5 = all_0_14_14
% 68.05/26.69 |
% 68.05/26.69 | Simplifying 1607 yields:
% 68.05/26.69 | (1037) all_0_5_5 = all_0_14_14
% 68.05/26.69 |
% 68.05/26.69 | From (320) and (1605) follows:
% 68.05/26.69 | (1041) app(all_0_6_6, all_0_7_7) = all_0_14_14
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (380), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (796) ~ (ssList(all_0_7_7) = all_108_0_41)
% 68.05/26.69 |
% 68.05/26.69 | From (427) and (796) follows:
% 68.05/26.69 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (284) and (633) yields:
% 68.05/26.69 | (621) $false
% 68.05/26.69 |
% 68.05/26.69 |-The branch is then unsatisfiable
% 68.05/26.69 |-Branch two:
% 68.05/26.69 | (799) ssList(all_0_7_7) = all_108_0_41
% 68.05/26.69 | (427) all_108_0_41 = 0
% 68.05/26.69 |
% 68.05/26.69 | From (427) and (799) follows:
% 68.05/26.69 | (284) ssList(all_0_7_7) = 0
% 68.05/26.69 |
% 68.05/26.69 +-Applying beta-rule and splitting (404), into two cases.
% 68.05/26.69 |-Branch one:
% 68.05/26.69 | (864) ~ (ssList(all_0_14_14) = all_108_0_41)
% 68.05/26.69 |
% 68.05/26.69 | From (427) and (864) follows:
% 68.05/26.69 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.69 |
% 68.05/26.69 | Using (141) and (641) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (867) ssList(all_0_14_14) = all_108_0_41
% 68.05/26.70 | (868) all_112_0_45 = all_108_0_41
% 68.05/26.70 |
% 68.05/26.70 | Combining equations (401,868) yields a new equation:
% 68.05/26.70 | (427) all_108_0_41 = 0
% 68.05/26.70 |
% 68.05/26.70 | Combining equations (427,868) yields a new equation:
% 68.05/26.70 | (401) all_112_0_45 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (867) follows:
% 68.05/26.70 | (141) ssList(all_0_14_14) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (394), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (878) ~ (ssList(all_0_3_3) = all_108_0_41)
% 68.05/26.70 |
% 68.05/26.70 | From (473)(427) and (878) follows:
% 68.05/26.70 | (669) ~ (ssList(nil) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (41) and (669) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (881) ssList(all_0_3_3) = all_108_0_41
% 68.05/26.70 | (882) all_108_0_41 = all_108_1_42
% 68.05/26.70 |
% 68.05/26.70 | Combining equations (427,882) yields a new equation:
% 68.05/26.70 | (386) all_108_1_42 = 0
% 68.05/26.70 |
% 68.05/26.70 | Combining equations (386,882) yields a new equation:
% 68.05/26.70 | (427) all_108_0_41 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (473)(427) and (881) follows:
% 68.05/26.70 | (41) ssList(nil) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (371), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (768) ~ (ssList(all_0_6_6) = all_112_1_46)
% 68.05/26.70 |
% 68.05/26.70 | From (428) and (768) follows:
% 68.05/26.70 | (663) ~ (ssList(all_0_6_6) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (138) and (663) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (771) ssList(all_0_6_6) = all_112_1_46
% 68.05/26.70 | (428) all_112_1_46 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (428) and (771) follows:
% 68.05/26.70 | (138) ssList(all_0_6_6) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (391), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (945) ~ (ssList(all_0_14_14) = all_108_1_42)
% 68.05/26.70 |
% 68.05/26.70 | From (386) and (945) follows:
% 68.05/26.70 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (141) and (641) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (948) ssList(all_0_14_14) = all_108_1_42
% 68.05/26.70 | (386) all_108_1_42 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (386) and (948) follows:
% 68.05/26.70 | (141) ssList(all_0_14_14) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (383), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (810) ~ (ssList(nil) = all_108_0_41)
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (810) follows:
% 68.05/26.70 | (669) ~ (ssList(nil) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (41) and (669) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (813) ssList(nil) = all_108_0_41
% 68.05/26.70 | (427) all_108_0_41 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (813) follows:
% 68.05/26.70 | (41) ssList(nil) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (390), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (804) ~ (ssList(all_0_13_13) = all_108_1_42)
% 68.05/26.70 |
% 68.05/26.70 | From (386) and (804) follows:
% 68.05/26.70 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (63) and (647) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (807) ssList(all_0_13_13) = all_108_1_42
% 68.05/26.70 | (386) all_108_1_42 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (386) and (807) follows:
% 68.05/26.70 | (63) ssList(all_0_13_13) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (389), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (891) ~ (ssList(all_0_7_7) = all_108_1_42)
% 68.05/26.70 |
% 68.05/26.70 | From (386) and (891) follows:
% 68.05/26.70 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (284) and (633) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (894) ssList(all_0_7_7) = all_108_1_42
% 68.05/26.70 | (386) all_108_1_42 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (386) and (894) follows:
% 68.05/26.70 | (284) ssList(all_0_7_7) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (397), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (790) ~ (ssList(all_0_14_14) = all_114_1_48)
% 68.05/26.70 |
% 68.05/26.70 | From (395) and (790) follows:
% 68.05/26.70 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (141) and (641) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (793) ssList(all_0_14_14) = all_114_1_48
% 68.05/26.70 | (395) all_114_1_48 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (395) and (793) follows:
% 68.05/26.70 | (141) ssList(all_0_14_14) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (379), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (762) ~ (ssList(all_0_6_6) = all_108_0_41)
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (762) follows:
% 68.05/26.70 | (663) ~ (ssList(all_0_6_6) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (138) and (663) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (765) ssList(all_0_6_6) = all_108_0_41
% 68.05/26.70 | (427) all_108_0_41 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (765) follows:
% 68.05/26.70 | (138) ssList(all_0_6_6) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (382), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (864) ~ (ssList(all_0_14_14) = all_108_0_41)
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (864) follows:
% 68.05/26.70 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (141) and (641) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (867) ssList(all_0_14_14) = all_108_0_41
% 68.05/26.70 | (427) all_108_0_41 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (867) follows:
% 68.05/26.70 | (141) ssList(all_0_14_14) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (381), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (834) ~ (ssList(all_0_13_13) = all_108_0_41)
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (834) follows:
% 68.05/26.70 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (63) and (647) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (837) ssList(all_0_13_13) = all_108_0_41
% 68.05/26.70 | (427) all_108_0_41 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (427) and (837) follows:
% 68.05/26.70 | (63) ssList(all_0_13_13) = 0
% 68.05/26.70 |
% 68.05/26.70 +-Applying beta-rule and splitting (405), into two cases.
% 68.05/26.70 |-Branch one:
% 68.05/26.70 | (945) ~ (ssList(all_0_14_14) = all_108_1_42)
% 68.05/26.70 |
% 68.05/26.70 | From (386) and (945) follows:
% 68.05/26.70 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.05/26.70 |
% 68.05/26.70 | Using (141) and (641) yields:
% 68.05/26.70 | (621) $false
% 68.05/26.70 |
% 68.05/26.70 |-The branch is then unsatisfiable
% 68.05/26.70 |-Branch two:
% 68.05/26.70 | (948) ssList(all_0_14_14) = all_108_1_42
% 68.05/26.70 | (949) all_112_0_45 = all_108_1_42
% 68.05/26.70 |
% 68.05/26.70 | Combining equations (401,949) yields a new equation:
% 68.05/26.70 | (386) all_108_1_42 = 0
% 68.05/26.70 |
% 68.05/26.70 | From (386) and (948) follows:
% 68.05/26.70 | (141) ssList(all_0_14_14) = 0
% 68.25/26.70 |
% 68.25/26.71 +-Applying beta-rule and splitting (407), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (1693) ~ (cons(all_0_8_8, nil) = all_110_0_43)
% 68.25/26.71 |
% 68.25/26.71 | From (1368) and (1693) follows:
% 68.25/26.71 | (1694) ~ (cons(all_0_8_8, nil) = all_0_7_7)
% 68.25/26.71 |
% 68.25/26.71 | Using (80) and (1694) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (1696) cons(all_0_8_8, nil) = all_110_0_43
% 68.25/26.71 | (1368) all_110_0_43 = all_0_7_7
% 68.25/26.71 |
% 68.25/26.71 | From (1368) and (1696) follows:
% 68.25/26.71 | (80) cons(all_0_8_8, nil) = all_0_7_7
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (400), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (891) ~ (ssList(all_0_7_7) = all_108_1_42)
% 68.25/26.71 |
% 68.25/26.71 | From (386) and (891) follows:
% 68.25/26.71 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.25/26.71 |
% 68.25/26.71 | Using (284) and (633) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (894) ssList(all_0_7_7) = all_108_1_42
% 68.25/26.71 | (895) all_114_1_48 = all_108_1_42
% 68.25/26.71 |
% 68.25/26.71 | Combining equations (895,395) yields a new equation:
% 68.25/26.71 | (1704) all_108_1_42 = 0
% 68.25/26.71 |
% 68.25/26.71 | Simplifying 1704 yields:
% 68.25/26.71 | (386) all_108_1_42 = 0
% 68.25/26.71 |
% 68.25/26.71 | From (386) and (894) follows:
% 68.25/26.71 | (284) ssList(all_0_7_7) = 0
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (376), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (780) ~ (ssList(all_8_1_17) = 0)
% 68.25/26.71 |
% 68.25/26.71 | From (1066) and (780) follows:
% 68.25/26.71 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.25/26.71 |
% 68.25/26.71 | Using (284) and (633) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (429) ssList(all_8_1_17) = 0
% 68.25/26.71 | (428) all_112_1_46 = 0
% 68.25/26.71 |
% 68.25/26.71 | From (1066) and (429) follows:
% 68.25/26.71 | (284) ssList(all_0_7_7) = 0
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (374), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (925) ~ (ssList(all_0_14_14) = all_112_1_46)
% 68.25/26.71 |
% 68.25/26.71 | From (428) and (925) follows:
% 68.25/26.71 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.25/26.71 |
% 68.25/26.71 | Using (141) and (641) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (928) ssList(all_0_14_14) = all_112_1_46
% 68.25/26.71 | (428) all_112_1_46 = 0
% 68.25/26.71 |
% 68.25/26.71 | From (428) and (928) follows:
% 68.25/26.71 | (141) ssList(all_0_14_14) = 0
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (372), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (840) ~ (ssList(all_0_7_7) = all_112_1_46)
% 68.25/26.71 |
% 68.25/26.71 | From (428) and (840) follows:
% 68.25/26.71 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.25/26.71 |
% 68.25/26.71 | Using (284) and (633) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (843) ssList(all_0_7_7) = all_112_1_46
% 68.25/26.71 | (428) all_112_1_46 = 0
% 68.25/26.71 |
% 68.25/26.71 | From (428) and (843) follows:
% 68.25/26.71 | (284) ssList(all_0_7_7) = 0
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (392), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (858) ~ (ssList(nil) = all_108_1_42)
% 68.25/26.71 |
% 68.25/26.71 | From (386) and (858) follows:
% 68.25/26.71 | (669) ~ (ssList(nil) = 0)
% 68.25/26.71 |
% 68.25/26.71 | Using (41) and (669) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (861) ssList(nil) = all_108_1_42
% 68.25/26.71 | (386) all_108_1_42 = 0
% 68.25/26.71 |
% 68.25/26.71 | From (386) and (861) follows:
% 68.25/26.71 | (41) ssList(nil) = 0
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (369), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (828) ~ (ssList(all_0_3_3) = all_112_1_46)
% 68.25/26.71 |
% 68.25/26.71 | From (473)(428) and (828) follows:
% 68.25/26.71 | (669) ~ (ssList(nil) = 0)
% 68.25/26.71 |
% 68.25/26.71 | Using (41) and (669) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (831) ssList(all_0_3_3) = all_112_1_46
% 68.25/26.71 | (428) all_112_1_46 = 0
% 68.25/26.71 |
% 68.25/26.71 | From (473)(428) and (831) follows:
% 68.25/26.71 | (41) ssList(nil) = 0
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (399), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (796) ~ (ssList(all_0_7_7) = all_108_0_41)
% 68.25/26.71 |
% 68.25/26.71 | From (427) and (796) follows:
% 68.25/26.71 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.25/26.71 |
% 68.25/26.71 | Using (284) and (633) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (799) ssList(all_0_7_7) = all_108_0_41
% 68.25/26.71 | (800) all_114_1_48 = all_108_0_41
% 68.25/26.71 |
% 68.25/26.71 | Combining equations (800,395) yields a new equation:
% 68.25/26.71 | (1742) all_108_0_41 = 0
% 68.25/26.71 |
% 68.25/26.71 | Simplifying 1742 yields:
% 68.25/26.71 | (427) all_108_0_41 = 0
% 68.25/26.71 |
% 68.25/26.71 | From (427) and (799) follows:
% 68.25/26.71 | (284) ssList(all_0_7_7) = 0
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (406), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (790) ~ (ssList(all_0_14_14) = all_114_1_48)
% 68.25/26.71 |
% 68.25/26.71 | From (395) and (790) follows:
% 68.25/26.71 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.25/26.71 |
% 68.25/26.71 | Using (141) and (641) yields:
% 68.25/26.71 | (621) $false
% 68.25/26.71 |
% 68.25/26.71 |-The branch is then unsatisfiable
% 68.25/26.71 |-Branch two:
% 68.25/26.71 | (793) ssList(all_0_14_14) = all_114_1_48
% 68.25/26.71 | (956) all_114_1_48 = all_112_0_45
% 68.25/26.71 |
% 68.25/26.71 | Combining equations (956,395) yields a new equation:
% 68.25/26.71 | (1750) all_112_0_45 = 0
% 68.25/26.71 |
% 68.25/26.71 | Simplifying 1750 yields:
% 68.25/26.71 | (401) all_112_0_45 = 0
% 68.25/26.71 |
% 68.25/26.71 | From (395) and (793) follows:
% 68.25/26.71 | (141) ssList(all_0_14_14) = 0
% 68.25/26.71 |
% 68.25/26.71 +-Applying beta-rule and splitting (378), into two cases.
% 68.25/26.71 |-Branch one:
% 68.25/26.71 | (899) ~ (ssList(all_0_5_5) = all_108_0_41)
% 68.25/26.71 |
% 68.25/26.71 | From (1037)(427) and (899) follows:
% 68.25/26.72 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (141) and (641) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (902) ssList(all_0_5_5) = all_108_0_41
% 68.25/26.72 | (427) all_108_0_41 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (1037)(427) and (902) follows:
% 68.25/26.72 | (141) ssList(all_0_14_14) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (373), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (774) ~ (ssList(all_0_13_13) = all_112_1_46)
% 68.25/26.72 |
% 68.25/26.72 | From (428) and (774) follows:
% 68.25/26.72 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (63) and (647) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (777) ssList(all_0_13_13) = all_112_1_46
% 68.25/26.72 | (428) all_112_1_46 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (428) and (777) follows:
% 68.25/26.72 | (63) ssList(all_0_13_13) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (375), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (784) ~ (ssList(nil) = all_112_1_46)
% 68.25/26.72 |
% 68.25/26.72 | From (428) and (784) follows:
% 68.25/26.72 | (669) ~ (ssList(nil) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (41) and (669) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (787) ssList(nil) = all_112_1_46
% 68.25/26.72 | (428) all_112_1_46 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (428) and (787) follows:
% 68.25/26.72 | (41) ssList(nil) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (393), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (828) ~ (ssList(all_0_3_3) = all_112_1_46)
% 68.25/26.72 |
% 68.25/26.72 | From (473)(428) and (828) follows:
% 68.25/26.72 | (669) ~ (ssList(nil) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (41) and (669) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (831) ssList(all_0_3_3) = all_112_1_46
% 68.25/26.72 | (876) all_112_1_46 = all_108_1_42
% 68.25/26.72 |
% 68.25/26.72 | Combining equations (428,876) yields a new equation:
% 68.25/26.72 | (386) all_108_1_42 = 0
% 68.25/26.72 |
% 68.25/26.72 | Combining equations (386,876) yields a new equation:
% 68.25/26.72 | (428) all_112_1_46 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (473)(428) and (831) follows:
% 68.25/26.72 | (41) ssList(nil) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (403), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (925) ~ (ssList(all_0_14_14) = all_112_1_46)
% 68.25/26.72 |
% 68.25/26.72 | From (428) and (925) follows:
% 68.25/26.72 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (141) and (641) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (928) ssList(all_0_14_14) = all_112_1_46
% 68.25/26.72 | (935) all_112_0_45 = all_112_1_46
% 68.25/26.72 |
% 68.25/26.72 | Combining equations (401,935) yields a new equation:
% 68.25/26.72 | (428) all_112_1_46 = 0
% 68.25/26.72 |
% 68.25/26.72 | Combining equations (428,935) yields a new equation:
% 68.25/26.72 | (401) all_112_0_45 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (428) and (928) follows:
% 68.25/26.72 | (141) ssList(all_0_14_14) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (384), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (780) ~ (ssList(all_8_1_17) = 0)
% 68.25/26.72 |
% 68.25/26.72 | From (1066) and (780) follows:
% 68.25/26.72 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (284) and (633) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (429) ssList(all_8_1_17) = 0
% 68.25/26.72 | (427) all_108_0_41 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (1066) and (429) follows:
% 68.25/26.72 | (284) ssList(all_0_7_7) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (370), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (756) ~ (ssList(all_0_5_5) = all_112_1_46)
% 68.25/26.72 |
% 68.25/26.72 | From (1037)(428) and (756) follows:
% 68.25/26.72 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (141) and (641) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (759) ssList(all_0_5_5) = all_112_1_46
% 68.25/26.72 | (428) all_112_1_46 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (1037)(428) and (759) follows:
% 68.25/26.72 | (141) ssList(all_0_14_14) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (398), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (840) ~ (ssList(all_0_7_7) = all_112_1_46)
% 68.25/26.72 |
% 68.25/26.72 | From (428) and (840) follows:
% 68.25/26.72 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (284) and (633) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (843) ssList(all_0_7_7) = all_112_1_46
% 68.25/26.72 | (915) all_114_1_48 = all_112_1_46
% 68.25/26.72 |
% 68.25/26.72 | Combining equations (395,915) yields a new equation:
% 68.25/26.72 | (428) all_112_1_46 = 0
% 68.25/26.72 |
% 68.25/26.72 | Combining equations (428,915) yields a new equation:
% 68.25/26.72 | (395) all_114_1_48 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (428) and (843) follows:
% 68.25/26.72 | (284) ssList(all_0_7_7) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (388), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (846) ~ (ssList(all_0_6_6) = all_108_1_42)
% 68.25/26.72 |
% 68.25/26.72 | From (386) and (846) follows:
% 68.25/26.72 | (663) ~ (ssList(all_0_6_6) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (138) and (663) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (849) ssList(all_0_6_6) = all_108_1_42
% 68.25/26.72 | (386) all_108_1_42 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (386) and (849) follows:
% 68.25/26.72 | (138) ssList(all_0_6_6) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (377), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (878) ~ (ssList(all_0_3_3) = all_108_0_41)
% 68.25/26.72 |
% 68.25/26.72 | From (473)(427) and (878) follows:
% 68.25/26.72 | (669) ~ (ssList(nil) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (41) and (669) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (881) ssList(all_0_3_3) = all_108_0_41
% 68.25/26.72 | (427) all_108_0_41 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (473)(427) and (881) follows:
% 68.25/26.72 | (41) ssList(nil) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (402), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (816) ~ (ssList(nil) = all_112_0_45)
% 68.25/26.72 |
% 68.25/26.72 | From (401) and (816) follows:
% 68.25/26.72 | (669) ~ (ssList(nil) = 0)
% 68.25/26.72 |
% 68.25/26.72 | Using (41) and (669) yields:
% 68.25/26.72 | (621) $false
% 68.25/26.72 |
% 68.25/26.72 |-The branch is then unsatisfiable
% 68.25/26.72 |-Branch two:
% 68.25/26.72 | (819) ssList(nil) = all_112_0_45
% 68.25/26.72 | (401) all_112_0_45 = 0
% 68.25/26.72 |
% 68.25/26.72 | From (401) and (819) follows:
% 68.25/26.72 | (41) ssList(nil) = 0
% 68.25/26.72 |
% 68.25/26.72 +-Applying beta-rule and splitting (396), into two cases.
% 68.25/26.72 |-Branch one:
% 68.25/26.72 | (852) ~ (ssList(all_0_13_13) = all_114_1_48)
% 68.25/26.72 |
% 68.25/26.72 | From (395) and (852) follows:
% 68.25/26.73 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.25/26.73 |
% 68.25/26.73 | Using (63) and (647) yields:
% 68.25/26.73 | (621) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (855) ssList(all_0_13_13) = all_114_1_48
% 68.25/26.73 | (395) all_114_1_48 = 0
% 68.25/26.73 |
% 68.25/26.73 | From (395) and (855) follows:
% 68.25/26.73 | (63) ssList(all_0_13_13) = 0
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (387), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (939) ~ (ssList(all_0_5_5) = all_108_1_42)
% 68.25/26.73 |
% 68.25/26.73 | From (1037)(386) and (939) follows:
% 68.25/26.73 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.25/26.73 |
% 68.25/26.73 | Using (141) and (641) yields:
% 68.25/26.73 | (621) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (942) ssList(all_0_5_5) = all_108_1_42
% 68.25/26.73 | (386) all_108_1_42 = 0
% 68.25/26.73 |
% 68.25/26.73 | From (1037)(386) and (942) follows:
% 68.25/26.73 | (141) ssList(all_0_14_14) = 0
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (442), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (986) ~ (ssList(all_0_7_7) = all_130_1_54)
% 68.25/26.73 |
% 68.25/26.73 | From (418) and (986) follows:
% 68.25/26.73 | (633) ~ (ssList(all_0_7_7) = 0)
% 68.25/26.73 |
% 68.25/26.73 | Using (284) and (633) yields:
% 68.25/26.73 | (621) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (417) ssList(all_0_7_7) = all_130_1_54
% 68.25/26.73 | (418) all_130_1_54 = 0
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (441), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (970) ~ (ssList(all_0_6_6) = all_130_1_54)
% 68.25/26.73 |
% 68.25/26.73 | From (418) and (970) follows:
% 68.25/26.73 | (663) ~ (ssList(all_0_6_6) = 0)
% 68.25/26.73 |
% 68.25/26.73 | Using (138) and (663) yields:
% 68.25/26.73 | (621) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (973) ssList(all_0_6_6) = all_130_1_54
% 68.25/26.73 | (418) all_130_1_54 = 0
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (440), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (976) ~ (ssList(all_0_5_5) = all_130_1_54)
% 68.25/26.73 |
% 68.25/26.73 | From (1037)(418) and (976) follows:
% 68.25/26.73 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.25/26.73 |
% 68.25/26.73 | Using (141) and (641) yields:
% 68.25/26.73 | (621) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (979) ssList(all_0_5_5) = all_130_1_54
% 68.25/26.73 | (418) all_130_1_54 = 0
% 68.25/26.73 |
% 68.25/26.73 | From (1037)(418) and (979) follows:
% 68.25/26.73 | (141) ssList(all_0_14_14) = 0
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (443), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (981) ~ (ssList(all_0_13_13) = all_130_1_54)
% 68.25/26.73 |
% 68.25/26.73 | From (418) and (981) follows:
% 68.25/26.73 | (647) ~ (ssList(all_0_13_13) = 0)
% 68.25/26.73 |
% 68.25/26.73 | Using (63) and (647) yields:
% 68.25/26.73 | (621) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (984) ssList(all_0_13_13) = all_130_1_54
% 68.25/26.73 | (418) all_130_1_54 = 0
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (445), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (991) ~ (ssList(nil) = all_130_1_54)
% 68.25/26.73 |
% 68.25/26.73 | From (418) and (991) follows:
% 68.25/26.73 | (669) ~ (ssList(nil) = 0)
% 68.25/26.73 |
% 68.25/26.73 | Using (41) and (669) yields:
% 68.25/26.73 | (621) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (994) ssList(nil) = all_130_1_54
% 68.25/26.73 | (418) all_130_1_54 = 0
% 68.25/26.73 |
% 68.25/26.73 | From (418) and (994) follows:
% 68.25/26.73 | (41) ssList(nil) = 0
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (444), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (964) ~ (ssList(all_0_14_14) = all_130_1_54)
% 68.25/26.73 |
% 68.25/26.73 | From (418) and (964) follows:
% 68.25/26.73 | (641) ~ (ssList(all_0_14_14) = 0)
% 68.25/26.73 |
% 68.25/26.73 | Using (141) and (641) yields:
% 68.25/26.73 | (621) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (967) ssList(all_0_14_14) = all_130_1_54
% 68.25/26.73 | (418) all_130_1_54 = 0
% 68.25/26.73 |
% 68.25/26.73 | From (418) and (967) follows:
% 68.25/26.73 | (141) ssList(all_0_14_14) = 0
% 68.25/26.73 |
% 68.25/26.73 | Instantiating formula (133) with all_0_7_7, nil, all_0_6_6, all_400_1_824, all_400_3_826, all_400_5_828, all_0_8_8, all_0_14_14 and discharging atoms duplicatefreeP(all_0_14_14) = 0, ssList(all_400_5_828) = 0, cons(all_0_8_8, all_400_3_826) = all_400_1_824, cons(all_0_8_8, nil) = all_0_7_7, app(all_400_5_828, all_400_1_824) = all_0_6_6, app(all_0_6_6, all_0_7_7) = all_0_14_14, ssItem(all_0_8_8) = 0, yields:
% 68.25/26.73 | (1870) ? [v0] : (( ~ (v0 = 0) & ssList(all_400_3_826) = v0) | ( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 68.25/26.73 |
% 68.25/26.73 | Instantiating (1870) with all_1046_0_867 yields:
% 68.25/26.73 | (1871) ( ~ (all_1046_0_867 = 0) & ssList(all_400_3_826) = all_1046_0_867) | ( ~ (all_1046_0_867 = 0) & ssList(all_0_14_14) = all_1046_0_867) | ( ~ (all_1046_0_867 = 0) & ssList(nil) = all_1046_0_867)
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (1871), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (1872) ( ~ (all_1046_0_867 = 0) & ssList(all_400_3_826) = all_1046_0_867) | ( ~ (all_1046_0_867 = 0) & ssList(all_0_14_14) = all_1046_0_867)
% 68.25/26.73 |
% 68.25/26.73 +-Applying beta-rule and splitting (1872), into two cases.
% 68.25/26.73 |-Branch one:
% 68.25/26.73 | (1873) ~ (all_1046_0_867 = 0) & ssList(all_400_3_826) = all_1046_0_867
% 68.25/26.73 |
% 68.25/26.73 | Applying alpha-rule on (1873) yields:
% 68.25/26.73 | (1874) ~ (all_1046_0_867 = 0)
% 68.25/26.73 | (1875) ssList(all_400_3_826) = all_1046_0_867
% 68.25/26.73 |
% 68.25/26.73 | Instantiating formula (117) with all_400_3_826, all_1046_0_867, 0 and discharging atoms ssList(all_400_3_826) = all_1046_0_867, ssList(all_400_3_826) = 0, yields:
% 68.25/26.73 | (1876) all_1046_0_867 = 0
% 68.25/26.73 |
% 68.25/26.73 | Equations (1876) can reduce 1874 to:
% 68.25/26.73 | (274) $false
% 68.25/26.73 |
% 68.25/26.73 |-The branch is then unsatisfiable
% 68.25/26.73 |-Branch two:
% 68.25/26.73 | (1878) ~ (all_1046_0_867 = 0) & ssList(all_0_14_14) = all_1046_0_867
% 68.25/26.73 |
% 68.25/26.73 | Applying alpha-rule on (1878) yields:
% 68.25/26.73 | (1874) ~ (all_1046_0_867 = 0)
% 68.25/26.73 | (1880) ssList(all_0_14_14) = all_1046_0_867
% 68.25/26.73 |
% 68.25/26.73 | Instantiating formula (117) with all_0_14_14, all_1046_0_867, 0 and discharging atoms ssList(all_0_14_14) = all_1046_0_867, ssList(all_0_14_14) = 0, yields:
% 68.25/26.74 | (1876) all_1046_0_867 = 0
% 68.25/26.74 |
% 68.25/26.74 | Equations (1876) can reduce 1874 to:
% 68.25/26.74 | (274) $false
% 68.25/26.74 |
% 68.25/26.74 |-The branch is then unsatisfiable
% 68.25/26.74 |-Branch two:
% 68.25/26.74 | (1883) ~ (all_1046_0_867 = 0) & ssList(nil) = all_1046_0_867
% 68.25/26.74 |
% 68.25/26.74 | Applying alpha-rule on (1883) yields:
% 68.25/26.74 | (1874) ~ (all_1046_0_867 = 0)
% 68.25/26.74 | (1885) ssList(nil) = all_1046_0_867
% 68.25/26.74 |
% 68.25/26.74 | Instantiating formula (117) with nil, all_1046_0_867, 0 and discharging atoms ssList(nil) = all_1046_0_867, ssList(nil) = 0, yields:
% 68.25/26.74 | (1876) all_1046_0_867 = 0
% 68.25/26.74 |
% 68.25/26.74 | Equations (1876) can reduce 1874 to:
% 68.25/26.74 | (274) $false
% 68.25/26.74 |
% 68.25/26.74 |-The branch is then unsatisfiable
% 68.40/26.74 |-Branch two:
% 68.40/26.74 | (1888) ~ (all_400_5_828 = 0) & ssItem(all_0_8_8) = all_400_5_828
% 68.40/26.74 |
% 68.40/26.74 | Applying alpha-rule on (1888) yields:
% 68.40/26.74 | (1889) ~ (all_400_5_828 = 0)
% 68.40/26.74 | (1890) ssItem(all_0_8_8) = all_400_5_828
% 68.40/26.74 |
% 68.40/26.74 | Instantiating formula (83) with all_0_8_8, all_400_5_828, 0 and discharging atoms ssItem(all_0_8_8) = all_400_5_828, ssItem(all_0_8_8) = 0, yields:
% 68.40/26.74 | (1891) all_400_5_828 = 0
% 68.40/26.74 |
% 68.40/26.74 | Equations (1891) can reduce 1889 to:
% 68.40/26.74 | (274) $false
% 68.40/26.74 |
% 68.40/26.74 |-The branch is then unsatisfiable
% 68.40/26.74 |-Branch two:
% 68.40/26.74 | (472) ~ (all_0_3_3 = nil)
% 68.40/26.75 | (476) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_3_3 & ssItem(v1) = 0)
% 68.40/26.75 |
% 68.40/26.75 | Instantiating formula (10) 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:
% 68.40/26.75 | (1895) all_0_3_3 = nil | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 68.40/26.75 |
% 68.40/26.75 | Instantiating formula (45) 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:
% 68.40/26.75 | (1129) all_0_3_3 = nil | ? [v0] : (( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 68.40/26.75 |
% 68.40/26.75 +-Applying beta-rule and splitting (1129), into two cases.
% 68.40/26.75 |-Branch one:
% 68.40/26.75 | (473) all_0_3_3 = nil
% 68.40/26.75 |
% 68.40/26.75 | Equations (473) can reduce 472 to:
% 68.40/26.75 | (274) $false
% 68.40/26.75 |
% 68.40/26.75 |-The branch is then unsatisfiable
% 68.40/26.75 |-Branch two:
% 68.40/26.75 | (472) ~ (all_0_3_3 = nil)
% 68.40/26.75 | (1137) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_14_14) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 68.40/26.75 |
% 68.40/26.75 +-Applying beta-rule and splitting (1895), into two cases.
% 68.40/26.75 |-Branch one:
% 68.40/26.75 | (473) all_0_3_3 = nil
% 68.40/26.75 |
% 68.40/26.75 | Equations (473) can reduce 472 to:
% 68.40/26.75 | (274) $false
% 68.40/26.75 |
% 68.40/26.75 |-The branch is then unsatisfiable
% 68.40/26.75 |-Branch two:
% 68.40/26.75 | (472) ~ (all_0_3_3 = nil)
% 68.40/26.75 | (1120) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 68.40/26.75 |
% 68.40/26.75 | Instantiating (1120) with all_453_0_1106 yields:
% 68.40/26.75 | (1905) ~ (all_453_0_1106 = 0) & ssItem(all_0_8_8) = all_453_0_1106
% 68.40/26.75 |
% 68.40/26.75 | Applying alpha-rule on (1905) yields:
% 68.40/26.75 | (1906) ~ (all_453_0_1106 = 0)
% 68.40/26.75 | (1907) ssItem(all_0_8_8) = all_453_0_1106
% 68.40/26.75 |
% 68.40/26.75 | Instantiating formula (83) with all_0_8_8, all_453_0_1106, 0 and discharging atoms ssItem(all_0_8_8) = all_453_0_1106, ssItem(all_0_8_8) = 0, yields:
% 68.40/26.75 | (1908) all_453_0_1106 = 0
% 68.40/26.75 |
% 68.40/26.75 | Equations (1908) can reduce 1906 to:
% 68.40/26.75 | (274) $false
% 68.40/26.75 |
% 68.40/26.75 |-The branch is then unsatisfiable
% 68.40/26.75 |-Branch two:
% 68.40/26.75 | (1152) ~ (all_8_1_17 = all_0_7_7)
% 68.40/26.75 | (1153) ? [v0] : (( ~ (v0 = 0) & ssList(all_8_1_17) = v0) | ( ~ (v0 = 0) & ssList(all_0_6_6) = v0))
% 68.40/26.75 |
% 68.40/26.75 | Instantiating (1153) with all_301_0_1125 yields:
% 68.40/26.75 | (1912) ( ~ (all_301_0_1125 = 0) & ssList(all_8_1_17) = all_301_0_1125) | ( ~ (all_301_0_1125 = 0) & ssList(all_0_6_6) = all_301_0_1125)
% 68.40/26.75 |
% 68.40/26.75 +-Applying beta-rule and splitting (1912), into two cases.
% 68.40/26.75 |-Branch one:
% 68.40/26.75 | (1913) ~ (all_301_0_1125 = 0) & ssList(all_8_1_17) = all_301_0_1125
% 68.40/26.75 |
% 68.40/26.75 | Applying alpha-rule on (1913) yields:
% 68.40/26.75 | (1914) ~ (all_301_0_1125 = 0)
% 68.40/26.75 | (1915) ssList(all_8_1_17) = all_301_0_1125
% 68.40/26.75 |
% 68.40/26.75 | Instantiating formula (117) with all_8_1_17, all_301_0_1125, 0 and discharging atoms ssList(all_8_1_17) = all_301_0_1125, ssList(all_8_1_17) = 0, yields:
% 68.40/26.75 | (1916) all_301_0_1125 = 0
% 68.40/26.75 |
% 68.40/26.75 | Equations (1916) can reduce 1914 to:
% 68.40/26.75 | (274) $false
% 68.40/26.75 |
% 68.40/26.75 |-The branch is then unsatisfiable
% 68.40/26.75 |-Branch two:
% 68.40/26.75 | (1918) ~ (all_301_0_1125 = 0) & ssList(all_0_6_6) = all_301_0_1125
% 68.40/26.75 |
% 68.40/26.75 | Applying alpha-rule on (1918) yields:
% 68.40/26.75 | (1914) ~ (all_301_0_1125 = 0)
% 68.40/26.75 | (1920) ssList(all_0_6_6) = all_301_0_1125
% 68.40/26.75 |
% 68.40/26.75 | Instantiating formula (117) with all_0_6_6, all_301_0_1125, 0 and discharging atoms ssList(all_0_6_6) = all_301_0_1125, ssList(all_0_6_6) = 0, yields:
% 68.40/26.75 | (1916) all_301_0_1125 = 0
% 68.40/26.75 |
% 68.40/26.75 | Equations (1916) can reduce 1914 to:
% 68.40/26.75 | (274) $false
% 68.40/26.75 |
% 68.40/26.75 |-The branch is then unsatisfiable
% 68.40/26.75 |-Branch two:
% 68.40/26.75 | (1165) ~ (all_0_5_5 = all_0_14_14)
% 68.40/26.75 | (1166) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_5_5) = v0)
% 68.40/26.75 |
% 68.40/26.75 | Instantiating (1166) with all_289_0_1138 yields:
% 68.40/26.75 | (1925) ~ (all_289_0_1138 = 0) & ssList(all_0_5_5) = all_289_0_1138
% 68.40/26.75 |
% 68.40/26.76 | Applying alpha-rule on (1925) yields:
% 68.40/26.76 | (1926) ~ (all_289_0_1138 = 0)
% 68.40/26.76 | (1927) ssList(all_0_5_5) = all_289_0_1138
% 68.40/26.76 |
% 68.40/26.76 | Instantiating formula (117) with all_0_5_5, all_289_0_1138, 0 and discharging atoms ssList(all_0_5_5) = all_289_0_1138, ssList(all_0_5_5) = 0, yields:
% 68.40/26.76 | (1928) all_289_0_1138 = 0
% 68.40/26.76 |
% 68.40/26.76 | Equations (1928) can reduce 1926 to:
% 68.40/26.76 | (274) $false
% 68.40/26.76 |
% 68.40/26.76 |-The branch is then unsatisfiable
% 68.40/26.76 |-Branch two:
% 68.40/26.76 | (1930) all_0_13_13 = nil & all_0_14_14 = nil
% 68.40/26.76 |
% 68.40/26.76 | Applying alpha-rule on (1930) yields:
% 68.40/26.76 | (1931) all_0_13_13 = nil
% 68.40/26.76 | (461) all_0_14_14 = nil
% 68.40/26.76 |
% 68.40/26.76 | Equations (461) can reduce 453 to:
% 68.40/26.76 | (274) $false
% 68.40/26.76 |
% 68.40/26.76 |-The branch is then unsatisfiable
% 68.40/26.76 |-Branch two:
% 68.40/26.76 | (1934) app(all_0_5_5, all_0_3_3) = nil
% 68.40/26.76 | (1935) all_0_5_5 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_3_3) = v0)
% 68.40/26.76 |
% 68.40/26.76 +-Applying beta-rule and splitting (1935), into two cases.
% 68.40/26.76 |-Branch one:
% 68.40/26.76 | (359) all_0_5_5 = nil
% 68.40/26.76 |
% 68.40/26.76 | Equations (359) can reduce 322 to:
% 68.40/26.76 | (274) $false
% 68.40/26.76 |
% 68.40/26.76 |-The branch is then unsatisfiable
% 68.40/26.76 |-Branch two:
% 68.40/26.76 | (322) ~ (all_0_5_5 = nil)
% 68.40/26.76 | (1939) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_3_3) = v0)
% 68.40/26.76 |
% 68.40/26.76 | Instantiating (1939) with all_167_0_1139 yields:
% 68.40/26.76 | (1940) ~ (all_167_0_1139 = 0) & ssList(all_0_3_3) = all_167_0_1139
% 68.40/26.76 |
% 68.40/26.76 | Applying alpha-rule on (1940) yields:
% 68.40/26.76 | (1941) ~ (all_167_0_1139 = 0)
% 68.40/26.76 | (1942) ssList(all_0_3_3) = all_167_0_1139
% 68.40/26.76 |
% 68.40/26.76 | Instantiating formula (117) with all_0_3_3, all_167_0_1139, 0 and discharging atoms ssList(all_0_3_3) = all_167_0_1139, ssList(all_0_3_3) = 0, yields:
% 68.40/26.76 | (1943) all_167_0_1139 = 0
% 68.40/26.76 |
% 68.40/26.76 | Equations (1943) can reduce 1941 to:
% 68.40/26.76 | (274) $false
% 68.40/26.76 |
% 68.40/26.76 |-The branch is then unsatisfiable
% 68.40/26.76 |-Branch two:
% 68.40/26.76 | (1945) app(all_0_6_6, all_0_7_7) = nil
% 68.40/26.76 | (1946) all_0_7_7 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 68.40/26.76 |
% 68.40/26.76 +-Applying beta-rule and splitting (174), into two cases.
% 68.40/26.76 |-Branch one:
% 68.40/26.76 | (316) ~ (app(all_0_6_6, all_0_7_7) = nil)
% 68.40/26.76 |
% 68.40/26.76 | Using (1945) and (316) yields:
% 68.40/26.76 | (621) $false
% 68.40/26.76 |
% 68.40/26.76 |-The branch is then unsatisfiable
% 68.40/26.76 |-Branch two:
% 68.40/26.76 | (1945) app(all_0_6_6, all_0_7_7) = nil
% 68.40/26.76 | (1950) all_0_6_6 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 68.40/26.76 |
% 68.40/26.76 +-Applying beta-rule and splitting (1950), into two cases.
% 68.40/26.76 |-Branch one:
% 68.40/26.76 | (1951) all_0_6_6 = nil
% 68.40/26.76 |
% 68.40/26.76 | From (1951) and (151) follows:
% 68.40/26.76 | (1952) app(nil, all_0_7_7) = all_0_5_5
% 68.40/26.76 |
% 68.40/26.76 | From (1951) and (1945) follows:
% 68.40/26.76 | (1953) app(nil, all_0_7_7) = nil
% 68.40/26.76 |
% 68.40/26.76 +-Applying beta-rule and splitting (175), into two cases.
% 68.40/26.76 |-Branch one:
% 68.40/26.76 | (1954) ~ (app(nil, all_0_7_7) = all_0_5_5)
% 68.40/26.76 |
% 68.40/26.76 | Using (1952) and (1954) yields:
% 68.40/26.76 | (621) $false
% 68.40/26.76 |
% 68.40/26.76 |-The branch is then unsatisfiable
% 68.40/26.76 |-Branch two:
% 68.40/26.76 | (1952) app(nil, all_0_7_7) = all_0_5_5
% 68.40/26.76 | (1957) all_0_5_5 = all_0_7_7 | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 68.40/26.76 |
% 68.40/26.76 +-Applying beta-rule and splitting (1957), into two cases.
% 68.40/26.76 |-Branch one:
% 68.40/26.76 | (1958) all_0_5_5 = all_0_7_7
% 68.40/26.76 |
% 68.40/26.76 | From (1958) and (1952) follows:
% 68.40/26.77 | (1959) app(nil, all_0_7_7) = all_0_7_7
% 68.40/26.77 |
% 68.40/26.77 +-Applying beta-rule and splitting (172), into two cases.
% 68.40/26.77 |-Branch one:
% 68.40/26.77 | (1954) ~ (app(nil, all_0_7_7) = all_0_5_5)
% 68.40/26.77 |
% 68.40/26.77 | From (1958) and (1954) follows:
% 68.40/26.77 | (1961) ~ (app(nil, all_0_7_7) = all_0_7_7)
% 68.40/26.77 |
% 68.40/26.77 | Using (1959) and (1961) yields:
% 68.40/26.77 | (621) $false
% 68.40/26.77 |
% 68.40/26.77 |-The branch is then unsatisfiable
% 68.40/26.77 |-Branch two:
% 68.40/26.77 | (1952) app(nil, all_0_7_7) = all_0_5_5
% 68.40/26.77 | (1964) ? [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)))
% 68.40/26.77 |
% 68.40/26.77 | From (1958) and (1952) follows:
% 68.40/26.77 | (1959) app(nil, all_0_7_7) = all_0_7_7
% 68.40/26.77 |
% 68.40/26.77 +-Applying beta-rule and splitting (170), into two cases.
% 68.40/26.77 |-Branch one:
% 68.40/26.77 | (1966) ~ (app(all_0_6_6, all_0_7_7) = all_0_6_6)
% 68.40/26.77 |
% 68.40/26.77 | From (1951)(1951) and (1966) follows:
% 68.40/26.77 | (1967) ~ (app(nil, all_0_7_7) = nil)
% 68.40/26.77 |
% 68.40/26.77 | Using (1953) and (1967) yields:
% 68.40/26.77 | (621) $false
% 68.40/26.77 |
% 68.40/26.77 |-The branch is then unsatisfiable
% 68.40/26.77 |-Branch two:
% 68.40/26.77 | (1969) app(all_0_6_6, all_0_7_7) = all_0_6_6
% 68.40/26.77 | (1970) ? [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)))
% 68.40/26.77 |
% 68.40/26.77 | From (1951)(1951) and (1969) follows:
% 68.40/26.77 | (1953) app(nil, all_0_7_7) = nil
% 68.40/26.77 |
% 68.40/26.77 +-Applying beta-rule and splitting (176), into two cases.
% 68.40/26.77 |-Branch one:
% 68.40/26.77 | (1966) ~ (app(all_0_6_6, all_0_7_7) = all_0_6_6)
% 68.40/26.77 |
% 68.40/26.77 | From (1951)(1951) and (1966) follows:
% 68.40/26.77 | (1967) ~ (app(nil, all_0_7_7) = nil)
% 68.40/26.77 |
% 68.40/26.77 | Using (1953) and (1967) yields:
% 68.40/26.77 | (621) $false
% 68.40/26.77 |
% 68.40/26.77 |-The branch is then unsatisfiable
% 68.40/26.77 |-Branch two:
% 68.40/26.77 | (1969) app(all_0_6_6, all_0_7_7) = all_0_6_6
% 68.40/26.77 | (1976) ? [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)))
% 68.40/26.77 |
% 68.40/26.77 | From (1951)(1951) and (1969) follows:
% 68.40/26.77 | (1953) app(nil, all_0_7_7) = nil
% 68.40/26.77 |
% 68.40/26.77 | Instantiating formula (97) 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:
% 68.40/26.77 | (351) all_0_7_7 = nil
% 68.40/26.77 |
% 68.40/26.77 | Equations (351) can reduce 314 to:
% 68.40/26.77 | (274) $false
% 68.40/26.77 |
% 68.40/26.77 |-The branch is then unsatisfiable
% 68.40/26.77 |-Branch two:
% 68.40/26.77 | (1980) ~ (all_0_5_5 = all_0_7_7)
% 68.40/26.77 | (1981) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 68.40/26.77 |
% 68.40/26.77 | Instantiating (1981) with all_111_0_1150 yields:
% 68.40/26.77 | (1982) ~ (all_111_0_1150 = 0) & ssList(all_0_7_7) = all_111_0_1150
% 68.40/26.77 |
% 68.40/26.77 | Applying alpha-rule on (1982) yields:
% 68.40/26.78 | (1983) ~ (all_111_0_1150 = 0)
% 68.40/26.78 | (1984) ssList(all_0_7_7) = all_111_0_1150
% 68.40/26.78 |
% 68.40/26.78 | Instantiating formula (117) with all_0_7_7, all_111_0_1150, 0 and discharging atoms ssList(all_0_7_7) = all_111_0_1150, ssList(all_0_7_7) = 0, yields:
% 68.40/26.78 | (1985) all_111_0_1150 = 0
% 68.40/26.78 |
% 68.40/26.78 | Equations (1985) can reduce 1983 to:
% 68.40/26.78 | (274) $false
% 68.40/26.78 |
% 68.40/26.78 |-The branch is then unsatisfiable
% 68.40/26.78 |-Branch two:
% 68.40/26.78 | (1987) ~ (all_0_6_6 = nil)
% 68.40/26.78 | (1981) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_7_7) = v0)
% 68.40/26.78 |
% 68.40/26.78 | Instantiating (1981) with all_103_0_1156 yields:
% 68.40/26.78 | (1989) ~ (all_103_0_1156 = 0) & ssList(all_0_7_7) = all_103_0_1156
% 68.40/26.78 |
% 68.40/26.78 | Applying alpha-rule on (1989) yields:
% 68.40/26.78 | (1990) ~ (all_103_0_1156 = 0)
% 68.40/26.78 | (1991) ssList(all_0_7_7) = all_103_0_1156
% 68.40/26.78 |
% 68.40/26.78 | Instantiating formula (117) with all_0_7_7, all_103_0_1156, 0 and discharging atoms ssList(all_0_7_7) = all_103_0_1156, ssList(all_0_7_7) = 0, yields:
% 68.40/26.78 | (1992) all_103_0_1156 = 0
% 68.40/26.78 |
% 68.40/26.78 | Equations (1992) can reduce 1990 to:
% 68.40/26.78 | (274) $false
% 68.40/26.78 |
% 68.40/26.78 |-The branch is then unsatisfiable
% 68.40/26.78 |-Branch two:
% 68.40/26.78 | (1994) cons(all_0_8_8, nil) = nil
% 68.40/26.78 | (1120) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 68.40/26.78 |
% 68.40/26.78 | Instantiating (1120) with all_67_0_1159 yields:
% 68.40/26.78 | (1996) ~ (all_67_0_1159 = 0) & ssItem(all_0_8_8) = all_67_0_1159
% 68.40/26.78 |
% 68.40/26.78 | Applying alpha-rule on (1996) yields:
% 68.40/26.78 | (1997) ~ (all_67_0_1159 = 0)
% 68.40/26.78 | (1998) ssItem(all_0_8_8) = all_67_0_1159
% 68.40/26.78 |
% 68.40/26.78 | Instantiating formula (83) with all_0_8_8, all_67_0_1159, 0 and discharging atoms ssItem(all_0_8_8) = all_67_0_1159, ssItem(all_0_8_8) = 0, yields:
% 68.40/26.78 | (1999) all_67_0_1159 = 0
% 68.40/26.78 |
% 68.40/26.78 | Equations (1999) can reduce 1997 to:
% 68.40/26.78 | (274) $false
% 68.40/26.78 |
% 68.40/26.78 |-The branch is then unsatisfiable
% 68.40/26.78 % SZS output end Proof for theBenchmark
% 68.40/26.78
% 68.40/26.78 26170ms
%------------------------------------------------------------------------------