TSTP Solution File: SWC174+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWC174+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 20:16:37 EDT 2022
% Result : Theorem 23.42s 7.06s
% Output : Proof 70.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC174+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n027.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 : Sun Jun 12 16:33:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.55/0.59 ____ _
% 0.55/0.59 ___ / __ \_____(_)___ ________ __________
% 0.55/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.59
% 0.55/0.59 A Theorem Prover for First-Order Logic
% 0.55/0.59 (ePrincess v.1.0)
% 0.55/0.59
% 0.55/0.59 (c) Philipp Rümmer, 2009-2015
% 0.55/0.59 (c) Peter Backeman, 2014-2015
% 0.55/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.59 Bug reports to peter@backeman.se
% 0.55/0.59
% 0.55/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.59
% 0.55/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.27/1.09 Prover 0: Preprocessing ...
% 4.45/1.69 Prover 0: Constructing countermodel ...
% 18.84/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.18/6.08 Prover 1: Preprocessing ...
% 20.17/6.30 Prover 1: Constructing countermodel ...
% 23.42/7.05 Prover 1: proved (1122ms)
% 23.42/7.06 Prover 0: stopped
% 23.42/7.06
% 23.42/7.06 No countermodel exists, formula is valid
% 23.42/7.06 % SZS status Theorem for theBenchmark
% 23.42/7.06
% 23.42/7.06 Generating proof ... found it (size 2251)
% 68.41/31.83
% 68.41/31.83 % SZS output start Proof for theBenchmark
% 68.41/31.83 Assumed formulas after preprocessing and simplification:
% 68.41/31.83 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ( ~ (v13 = v12) & ~ (v7 = 0) & ~ (v0 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(v1) = 0 & singletonP(nil) = v0 & ssList(v11) = 0 & ssList(v8) = 0 & ssList(v2) = 0 & ssList(v1) = 0 & ssList(nil) = 0 & cons(v5, nil) = v6 & cons(v3, nil) = v4 & app(v10, v11) = v1 & app(v9, v6) = v10 & app(v8, v4) = v9 & neq(v3, v5) = v7 & ssItem(v13) = 0 & ssItem(v12) = 0 & ssItem(v5) = 0 & ssItem(v3) = 0 & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | ~ (strictorderedP(v14) = 0) | ~ (lt(v15, v16) = v17) | ~ (ssList(v18) = 0) | ~ (cons(v16, v22) = v23) | ~ (cons(v15, v19) = v20) | ~ (app(v21, v23) = v14) | ~ (app(v18, v20) = v21) | ~ (ssItem(v15) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v14) = v24) | ( ~ (v24 = 0) & ssItem(v16) = v24))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = 0 | ~ (totalorderedP(v14) = 0) | ~ (leq(v15, v16) = v17) | ~ (ssList(v18) = 0) | ~ (cons(v16, v22) = v23) | ~ (cons(v15, v19) = v20) | ~ (app(v21, v23) = v14) | ~ (app(v18, v20) = v21) | ~ (ssItem(v15) = 0) | ? [v24] : (( ~ (v24 = 0) & ssList(v22) = v24) | ( ~ (v24 = 0) & ssList(v19) = v24) | ( ~ (v24 = 0) & ssList(v14) = v24) | ( ~ (v24 = 0) & ssItem(v16) = v24))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (duplicatefreeP(v14) = 0) | ~ (ssList(v16) = 0) | ~ (cons(v15, v20) = v21) | ~ (cons(v15, v17) = v18) | ~ (app(v19, v21) = v14) | ~ (app(v16, v18) = v19) | ~ (ssItem(v15) = 0) | ? [v22] : (( ~ (v22 = 0) & ssList(v20) = v22) | ( ~ (v22 = 0) & ssList(v17) = v22) | ( ~ (v22 = 0) & ssList(v14) = v22))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (segmentP(v19, v15) = v20) | ~ (segmentP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ~ (app(v17, v18) = v19) | ~ (app(v16, v14) = v17) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v16) = v21) | ( ~ (v21 = 0) & ssList(v15) = v21))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v16 = v15 | ~ (equalelemsP(v14) = 0) | ~ (ssList(v17) = 0) | ~ (cons(v16, v18) = v19) | ~ (cons(v15, v19) = v20) | ~ (app(v17, v20) = v14) | ~ (ssItem(v16) = 0) | ~ (ssItem(v15) = 0) | ? [v21] : (( ~ (v21 = 0) & ssList(v18) = v21) | ( ~ (v21 = 0) & ssList(v14) = v21))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (frontsegP(v17, v19) = v20) | ~ (cons(v15, v18) = v19) | ~ (cons(v14, v16) = v17) | ~ (ssItem(v15) = 0) | ~ (ssItem(v14) = 0) | ? [v21] : ? [v22] : (( ~ (v21 = 0) & ssList(v16) = v21) | (frontsegP(v16, v18) = v22 & ssList(v18) = v21 & ( ~ (v21 = 0) | (( ~ (v22 = 0) | ~ (v15 = v14) | v20 = 0) & ( ~ (v20 = 0) | (v22 = 0 & v15 = v14))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = 0 | ~ (segmentP(v14, v15) = v16) | ~ (ssList(v14) = 0) | ~ (app(v18, v19) = v14) | ~ (app(v17, v15) = v18) | ? [v20] : (( ~ (v20 = 0) & ssList(v19) = v20) | ( ~ (v20 = 0) & ssList(v17) = v20) | ( ~ (v20 = 0) & ssList(v15) = v20))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = 0 | ~ (memberP(v14, v15) = v16) | ~ (ssList(v17) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v15, v18) = v19) | ~ (app(v17, v19) = v14) | ? [v20] : (( ~ (v20 = 0) & ssList(v18) = v20) | ( ~ (v20 = 0) & ssItem(v15) = v20))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (memberP(v18, v14) = v19) | ~ (memberP(v15, v14) = v16) | ~ (app(v15, v17) = v18) | ~ (ssItem(v14) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & ssList(v15) = v20) | (memberP(v17, v14) = v21 & ssList(v17) = v20 & ( ~ (v20 = 0) | (( ~ (v19 = 0) | v21 = 0 | v16 = 0) & (v19 = 0 | ( ~ (v21 = 0) & ~ (v16 = 0)))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (ssList(v15) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v18, v15) = v17) | ~ (cons(v16, v14) = v17) | ? [v19] : (( ~ (v19 = 0) & ssItem(v18) = v19) | ( ~ (v19 = 0) & ssItem(v16) = v19))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (rearsegP(v17, v15) = v18) | ~ (rearsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ~ (app(v16, v14) = v17) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v15) = v19))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (frontsegP(v17, v15) = v18) | ~ (frontsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ~ (app(v14, v16) = v17) | ? [v19] : (( ~ (v19 = 0) & ssList(v16) = v19) | ( ~ (v19 = 0) & ssList(v15) = v19))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v14 | ~ (ssList(v15) = 0) | ~ (ssList(v14) = 0) | ~ (cons(v18, v15) = v17) | ~ (cons(v16, v14) = v17) | ? [v19] : (( ~ (v19 = 0) & ssItem(v18) = v19) | ( ~ (v19 = 0) & ssItem(v16) = v19))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (memberP(v17, v14) = v18) | ~ (cons(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ~ (ssItem(v14) = 0) | ? [v19] : ? [v20] : (memberP(v16, v14) = v20 & ssList(v16) = v19 & ( ~ (v19 = 0) | (( ~ (v18 = 0) | v20 = 0 | v15 = v14) & (v18 = 0 | ( ~ (v20 = 0) & ~ (v15 = v14))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v14) = 0) | ~ (cons(v17, v16) = v18) | ~ (app(v15, v14) = v16) | ? [v19] : ? [v20] : ? [v21] : (( ~ (v19 = 0) & ssList(v15) = v19) | (cons(v17, v15) = v20 & app(v20, v14) = v21 & ssItem(v17) = v19 & ( ~ (v19 = 0) | v21 = v18)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ssList(v14) = 0) | ~ (app(v16, v17) = v18) | ~ (app(v14, v15) = v16) | ? [v19] : ? [v20] : ? [v21] : (( ~ (v19 = 0) & ssList(v15) = v19) | (ssList(v17) = v19 & app(v15, v17) = v20 & app(v14, v20) = v21 & ( ~ (v19 = 0) | v21 = v18)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | v14 = nil | ~ (tl(v14) = v16) | ~ (hd(v14) = v15) | ~ (cons(v15, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & ssList(v14) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (ssList(v14) = 0) | ~ (app(v17, v15) = v16) | ~ (app(v14, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (ssList(v14) = 0) | ~ (app(v15, v17) = v16) | ~ (app(v15, v14) = v16) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (gt(v14, v16) = v17) | ~ (gt(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (gt(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (geq(v14, v16) = v17) | ~ (geq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (geq(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (lt(v14, v16) = v17) | ~ (lt(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (lt(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (lt(v14, v16) = v17) | ~ (leq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (lt(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (leq(v14, v16) = v17) | ~ (leq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssItem(v15) = v18) | (leq(v15, v16) = v19 & ssItem(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (segmentP(v14, v16) = v17) | ~ (segmentP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v15) = v18) | (segmentP(v15, v16) = v19 & ssList(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (rearsegP(v14, v16) = v17) | ~ (rearsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v15) = v18) | (rearsegP(v15, v16) = v19 & ssList(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (frontsegP(v14, v16) = v17) | ~ (frontsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v15) = v18) | (frontsegP(v15, v16) = v19 & ssList(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (rearsegP(v14, v15) = v16) | ~ (ssList(v14) = 0) | ~ (app(v17, v15) = v14) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (frontsegP(v14, v15) = v16) | ~ (ssList(v14) = 0) | ~ (app(v15, v17) = v14) | ? [v18] : (( ~ (v18 = 0) & ssList(v17) = v18) | ( ~ (v18 = 0) & ssList(v15) = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (gt(v17, v16) = v15) | ~ (gt(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (geq(v17, v16) = v15) | ~ (geq(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (lt(v17, v16) = v15) | ~ (lt(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (leq(v17, v16) = v15) | ~ (leq(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (segmentP(v17, v16) = v15) | ~ (segmentP(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (rearsegP(v17, v16) = v15) | ~ (rearsegP(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (frontsegP(v17, v16) = v15) | ~ (frontsegP(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (memberP(v17, v16) = v15) | ~ (memberP(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (cons(v17, v16) = v15) | ~ (cons(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (app(v17, v16) = v15) | ~ (app(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (neq(v17, v16) = v15) | ~ (neq(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = nil | ~ (tl(v14) = v15) | ~ (app(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (( ~ (v18 = 0) & ssList(v14) = v18) | (tl(v19) = v20 & ssList(v16) = v18 & app(v14, v16) = v19 & ( ~ (v18 = 0) | v20 = v17)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = nil | ~ (hd(v14) = v15) | ~ (app(v14, v16) = v17) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v14) = v18) | (hd(v17) = v19 & ssList(v16) = v18 & ( ~ (v18 = 0) | v19 = v15)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (hd(v15) = v16) | ~ (lt(v14, v16) = v17) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (strictorderedP(v19) = v20 & strictorderedP(v15) = v21 & ssList(v15) = v18 & cons(v14, v15) = v19 & ( ~ (v18 = 0) | (( ~ (v20 = 0) | v15 = nil | (v21 = 0 & v17 = 0)) & (v20 = 0 | ( ~ (v15 = nil) & ( ~ (v21 = 0) | ~ (v17 = 0)))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (hd(v15) = v16) | ~ (leq(v14, v16) = v17) | ~ (ssItem(v14) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (totalorderedP(v19) = v20 & totalorderedP(v15) = v21 & ssList(v15) = v18 & cons(v14, v15) = v19 & ( ~ (v18 = 0) | (( ~ (v20 = 0) | v15 = nil | (v21 = 0 & v17 = 0)) & (v20 = 0 | ( ~ (v15 = nil) & ( ~ (v21 = 0) | ~ (v17 = 0)))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (strictorderP(v14) = 0) | ~ (lt(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v14) = v18) | (lt(v16, v15) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | v17 = 0 | ~ (ssList(v20) = 0) | ~ (cons(v16, v24) = v25) | ~ (cons(v15, v21) = v22) | ~ (app(v23, v25) = v14) | ~ (app(v20, v22) = v23) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (totalorderP(v14) = 0) | ~ (leq(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v14) = v18) | (leq(v16, v15) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = 0 | v17 = 0 | ~ (ssList(v20) = 0) | ~ (cons(v16, v24) = v25) | ~ (cons(v15, v21) = v22) | ~ (app(v23, v25) = v14) | ~ (app(v20, v22) = v23) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (cyclefreeP(v14) = 0) | ~ (leq(v15, v16) = v17) | ~ (ssItem(v15) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & ssList(v14) = v18) | (leq(v16, v15) = v19 & ssItem(v16) = v18 & ( ~ (v18 = 0) | ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (v19 = 0) | ~ (v17 = 0) | ~ (ssList(v20) = 0) | ~ (cons(v16, v24) = v25) | ~ (cons(v15, v21) = v22) | ~ (app(v23, v25) = v14) | ~ (app(v20, v22) = v23) | ? [v26] : (( ~ (v26 = 0) & ssList(v24) = v26) | ( ~ (v26 = 0) & ssList(v21) = v26))))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, nil) = v16) | ~ (app(v16, v14) = v17) | ? [v18] : ? [v19] : (cons(v15, v14) = v19 & ssItem(v15) = v18 & ( ~ (v18 = 0) | v19 = v17))) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | v15 = v14 | ~ (lt(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (leq(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | v15 = v14 | ~ (ssList(v14) = 0) | ~ (neq(v14, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & ssList(v15) = v17)) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | v15 = v14 | ~ (neq(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ( ~ (v17 = 0) & ssItem(v15) = v17)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (tl(v16) = v15) | ~ (tl(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (hd(v16) = v15) | ~ (hd(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (equalelemsP(v16) = v15) | ~ (equalelemsP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (duplicatefreeP(v16) = v15) | ~ (duplicatefreeP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (strictorderedP(v16) = v15) | ~ (strictorderedP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (totalorderedP(v16) = v15) | ~ (totalorderedP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (strictorderP(v16) = v15) | ~ (strictorderP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (totalorderP(v16) = v15) | ~ (totalorderP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (cyclefreeP(v16) = v15) | ~ (cyclefreeP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (singletonP(v16) = v15) | ~ (singletonP(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (ssList(v16) = v15) | ~ (ssList(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (ssItem(v16) = v15) | ~ (ssItem(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (singletonP(v14) = v15) | ~ (cons(v16, nil) = v14) | ? [v17] : (( ~ (v17 = 0) & ssList(v14) = v17) | ( ~ (v17 = 0) & ssItem(v16) = v17))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (gt(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (lt(v15, v14) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | v16 = 0) & ( ~ (v16 = 0) | v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (geq(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (leq(v15, v14) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | v16 = 0) & ( ~ (v16 = 0) | v18 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (lt(v14, v15) = v16) | ~ (ssItem(v14) = 0) | ? [v17] : ? [v18] : (leq(v14, v15) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | v16 = 0 | v15 = v14) & ( ~ (v16 = 0) | (v18 = 0 & ~ (v15 = v14))))))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = v16) | ? [v17] : ? [v18] : (tl(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = v14))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = v16) | ? [v17] : ? [v18] : (hd(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = v15))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = v16) | ? [v17] : ? [v18] : (ssList(v16) = v18 & ssItem(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (ssList(v14) = 0) | ~ (app(v14, v15) = v16) | ? [v17] : ? [v18] : (ssList(v16) = v18 & ssList(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (geq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v16] : ? [v17] : (geq(v15, v14) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (leq(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v16] : ? [v17] : (leq(v15, v14) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (segmentP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : (segmentP(v15, v14) = v17 & ssList(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (rearsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : (rearsegP(v15, v14) = v17 & ssList(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (frontsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : (frontsegP(v15, v14) = v17 & ssList(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (app(v14, nil) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = v14 | ~ (app(nil, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = nil | ~ (ssList(v14) = 0) | ~ (app(v14, v15) = nil) | ? [v16] : ( ~ (v16 = 0) & ssList(v15) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (geq(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssItem(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (equalelemsP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = v14 & v23 = 0 & v21 = 0 & v19 = 0 & v17 = 0 & ~ (v18 = v16) & ssList(v22) = 0 & ssList(v20) = 0 & cons(v18, v22) = v24 & cons(v16, v24) = v25 & app(v20, v25) = v14 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (duplicatefreeP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v29 = v14 & v27 = 0 & v23 = 0 & v21 = 0 & v19 = 0 & v18 = v16 & v17 = 0 & ssList(v26) = 0 & ssList(v22) = 0 & ssList(v20) = 0 & cons(v16, v26) = v28 & cons(v16, v22) = v24 & app(v25, v28) = v14 & app(v20, v24) = v25 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (strictorderedP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = v14 & v28 = 0 & v24 = 0 & v22 = 0 & v19 = 0 & v17 = 0 & ~ (v20 = 0) & lt(v16, v18) = v20 & ssList(v27) = 0 & ssList(v23) = 0 & ssList(v21) = 0 & cons(v18, v27) = v29 & cons(v16, v23) = v25 & app(v26, v29) = v14 & app(v21, v25) = v26 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (totalorderedP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = v14 & v28 = 0 & v24 = 0 & v22 = 0 & v19 = 0 & v17 = 0 & ~ (v20 = 0) & leq(v16, v18) = v20 & ssList(v27) = 0 & ssList(v23) = 0 & ssList(v21) = 0 & cons(v18, v27) = v29 & cons(v16, v23) = v25 & app(v26, v29) = v14 & app(v21, v25) = v26 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (strictorderP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v14 & v29 = 0 & v25 = 0 & v23 = 0 & v19 = 0 & v17 = 0 & ~ (v21 = 0) & ~ (v20 = 0) & lt(v18, v16) = v21 & lt(v16, v18) = v20 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v16, v24) = v26 & app(v27, v30) = v14 & app(v22, v26) = v27 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (totalorderP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v14 & v29 = 0 & v25 = 0 & v23 = 0 & v19 = 0 & v17 = 0 & ~ (v21 = 0) & ~ (v20 = 0) & leq(v18, v16) = v21 & leq(v16, v18) = v20 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v16, v24) = v26 & app(v27, v30) = v14 & app(v22, v26) = v27 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (cyclefreeP(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v14 & v29 = 0 & v25 = 0 & v23 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v17 = 0 & leq(v18, v16) = 0 & leq(v16, v18) = 0 & ssList(v28) = 0 & ssList(v24) = 0 & ssList(v22) = 0 & cons(v18, v28) = v30 & cons(v16, v24) = v26 & app(v27, v30) = v14 & app(v22, v26) = v27 & ssItem(v18) = 0 & ssItem(v16) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (leq(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssItem(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (segmentP(v14, nil) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (rearsegP(v14, nil) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (frontsegP(v14, nil) = v15) | ? [v16] : ( ~ (v16 = 0) & ssList(v14) = v16)) & ! [v14] : ! [v15] : (v14 = nil | ~ (tl(v14) = v15) | ? [v16] : ? [v17] : (ssList(v15) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : (v14 = nil | ~ (tl(v14) = v15) | ? [v16] : ? [v17] : ((v17 = 0 & v16 = v15 & ssList(v15) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v14 = nil | ~ (hd(v14) = v15) | ? [v16] : ? [v17] : (ssList(v14) = v16 & ssItem(v15) = v17 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : (v14 = nil | ~ (hd(v14) = v15) | ? [v16] : ? [v17] : ((v17 = 0 & v16 = v15 & ssItem(v15) = 0) | ( ~ (v16 = 0) & ssList(v14) = v16))) & ! [v14] : ! [v15] : (v14 = nil | ~ (ssList(v14) = 0) | ~ (app(v14, v15) = nil) | ? [v16] : ( ~ (v16 = 0) & ssList(v15) = v16)) & ! [v14] : ! [v15] : ( ~ (gt(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v16] : ? [v17] : (gt(v15, v14) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : ( ~ (tl(v14) = v15) | ? [v16] : ? [v17] : (hd(v14) = v17 & ssList(v14) = v16 & ( ~ (v16 = 0) | ! [v18] : (v18 = v14 | v18 = nil | v14 = nil | ~ (tl(v18) = v15) | ? [v19] : ? [v20] : (hd(v18) = v20 & ssList(v18) = v19 & ( ~ (v20 = v17) | ~ (v19 = 0))))))) & ! [v14] : ! [v15] : ( ~ (lt(v14, v15) = 0) | ~ (ssItem(v14) = 0) | ? [v16] : ? [v17] : (lt(v15, v14) = v17 & ssItem(v15) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : ( ~ (segmentP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = v14 & v20 = 0 & v17 = 0 & ssList(v19) = 0 & ssList(v16) = 0 & app(v18, v19) = v14 & app(v16, v15) = v18) | ( ~ (v16 = 0) & ssList(v15) = v16))) & ! [v14] : ! [v15] : ( ~ (rearsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ((v18 = v14 & v17 = 0 & ssList(v16) = 0 & app(v16, v15) = v14) | ( ~ (v16 = 0) & ssList(v15) = v16))) & ! [v14] : ! [v15] : ( ~ (frontsegP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ((v18 = v14 & v17 = 0 & ssList(v16) = 0 & app(v15, v16) = v14) | ( ~ (v16 = 0) & ssList(v15) = v16))) & ! [v14] : ! [v15] : ( ~ (memberP(v14, v15) = 0) | ~ (ssList(v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = v14 & v19 = 0 & v17 = 0 & ssList(v18) = 0 & ssList(v16) = 0 & cons(v15, v18) = v20 & app(v16, v20) = v14) | ( ~ (v16 = 0) & ssItem(v15) = v16))) & ! [v14] : ! [v15] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = v14) | ? [v16] : ( ~ (v16 = 0) & ssItem(v15) = v16)) & ! [v14] : ! [v15] : ( ~ (ssList(v14) = 0) | ~ (cons(v15, v14) = nil) | ? [v16] : ( ~ (v16 = 0) & ssItem(v15) = v16)) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (equalelemsP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (duplicatefreeP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (strictorderedP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (totalorderedP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (strictorderP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (totalorderP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (cons(v14, nil) = v15) | ? [v16] : ? [v17] : (cyclefreeP(v15) = v17 & ssItem(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : (v14 = nil | ~ (segmentP(nil, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssList(v14) = v15)) & ! [v14] : (v14 = nil | ~ (rearsegP(nil, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssList(v14) = v15)) & ! [v14] : (v14 = nil | ~ (frontsegP(nil, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssList(v14) = v15)) & ! [v14] : (v14 = nil | ~ (ssList(v14) = 0) | ? [v15] : ? [v16] : (ssList(v15) = 0 & cons(v16, v15) = v14 & ssItem(v16) = 0)) & ! [v14] : (v14 = nil | ~ (app(nil, nil) = v14)) & ! [v14] : (v14 = 0 | ~ (segmentP(nil, nil) = v14)) & ! [v14] : (v14 = 0 | ~ (rearsegP(nil, nil) = v14)) & ! [v14] : (v14 = 0 | ~ (frontsegP(nil, nil) = v14)) & ! [v14] : ( ~ (lt(v14, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssItem(v14) = v15)) & ! [v14] : ( ~ (singletonP(v14) = 0) | ? [v15] : ? [v16] : ? [v17] : ((v17 = v14 & v16 = 0 & cons(v15, nil) = v14 & ssItem(v15) = 0) | ( ~ (v15 = 0) & ssList(v14) = v15))) & ! [v14] : ( ~ (memberP(nil, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & ssItem(v14) = v15)) & ! [v14] : ( ~ (ssList(v14) = 0) | ~ (neq(v14, v14) = 0)) & ! [v14] : ( ~ (neq(v14, v14) = 0) | ~ (ssItem(v14) = 0)))
% 68.76/31.93 | 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 yields:
% 68.76/31.93 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_6_6 = 0) & ~ (all_0_13_13 = 0) & equalelemsP(nil) = 0 & duplicatefreeP(nil) = 0 & strictorderedP(nil) = 0 & totalorderedP(nil) = 0 & strictorderP(nil) = 0 & totalorderP(nil) = 0 & cyclefreeP(nil) = 0 & singletonP(all_0_12_12) = 0 & singletonP(nil) = all_0_13_13 & ssList(all_0_2_2) = 0 & ssList(all_0_5_5) = 0 & ssList(all_0_11_11) = 0 & ssList(all_0_12_12) = 0 & ssList(nil) = 0 & cons(all_0_8_8, nil) = all_0_7_7 & cons(all_0_10_10, nil) = all_0_9_9 & app(all_0_3_3, all_0_2_2) = all_0_12_12 & app(all_0_4_4, all_0_7_7) = all_0_3_3 & app(all_0_5_5, all_0_9_9) = all_0_4_4 & neq(all_0_10_10, all_0_8_8) = all_0_6_6 & ssItem(all_0_0_0) = 0 & ssItem(all_0_1_1) = 0 & ssItem(all_0_8_8) = 0 & ssItem(all_0_10_10) = 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] : (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) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4)))) & ! [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))
% 68.76/31.97 |
% 68.76/31.97 | Applying alpha-rule on (1) yields:
% 68.76/31.97 | (2) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 68.76/31.97 | (3) ! [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)))))
% 68.76/31.97 | (4) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (ssList(v1) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 68.76/31.97 | (5) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 68.76/31.97 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ssList(v0) = 0) | ~ (cons(v3, v2) = v4) | ~ (app(v1, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v5 = 0) & ssList(v1) = v5) | (cons(v3, v1) = v6 & app(v6, v0) = v7 & ssItem(v3) = v5 & ( ~ (v5 = 0) | v7 = v4))))
% 68.76/31.97 | (7) ssList(all_0_2_2) = 0
% 68.76/31.97 | (8) singletonP(nil) = all_0_13_13
% 68.76/31.97 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 68.76/31.97 | (10) ! [v0] : ! [v1] : (v1 = v0 | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 68.76/31.97 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (lt(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ? [v4] : (leq(v0, v1) = v4 & ssItem(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 68.76/31.97 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (rearsegP(v0, v2) = v3) | ~ (rearsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (rearsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 68.76/31.97 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = nil | ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & ssList(v0) = v4) | (tl(v5) = v6 & ssList(v2) = v4 & app(v0, v2) = v5 & ( ~ (v4 = 0) | v6 = v3))))
% 68.76/31.97 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 68.76/31.98 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (frontsegP(v0, v2) = v3) | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ssList(v1) = v4) | (frontsegP(v1, v2) = v5 & ssList(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 68.76/31.98 | (16) ! [v0] : ! [v1] : ( ~ (tl(v0) = v1) | ? [v2] : ? [v3] : (hd(v0) = v3 & ssList(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | ? [v5] : ? [v6] : (hd(v4) = v6 & ssList(v4) = v5 & ( ~ (v6 = v3) | ~ (v5 = 0)))))))
% 68.76/31.98 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (memberP(v4, v0) = v5) | ~ (memberP(v1, v0) = v2) | ~ (app(v1, v3) = v4) | ~ (ssItem(v0) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & ssList(v1) = v6) | (memberP(v3, v0) = v7 & ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v5 = 0) | v7 = 0 | v2 = 0) & (v5 = 0 | ( ~ (v7 = 0) & ~ (v2 = 0))))))))
% 68.76/31.98 | (18) ! [v0] : ! [v1] : (v1 = v0 | ~ (frontsegP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 68.76/31.98 | (19) neq(all_0_10_10, all_0_8_8) = all_0_6_6
% 68.76/31.98 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | ~ (totalorderedP(v2) = v0))
% 68.76/31.98 | (21) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : (ssList(v0) = v2 & ssItem(v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 68.76/31.98 | (22) ! [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)))
% 68.76/31.98 | (23) ! [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)))))
% 68.76/31.98 | (24) ! [v0] : (v0 = nil | ~ (rearsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 68.76/31.98 | (25) totalorderP(nil) = 0
% 68.76/31.98 | (26) cons(all_0_8_8, nil) = all_0_7_7
% 68.76/31.98 | (27) ! [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)))
% 68.76/31.98 | (28) ! [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)))
% 68.76/31.98 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 68.76/31.98 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 68.76/31.98 | (31) duplicatefreeP(nil) = 0
% 68.76/31.98 | (32) ! [v0] : (v0 = nil | ~ (app(nil, nil) = v0))
% 68.76/31.98 | (33) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (cyclefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 68.76/31.98 | (34) ! [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)))
% 68.76/31.98 | (35) ! [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)))
% 68.76/31.98 | (36) ! [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))))
% 68.76/31.98 | (37) ! [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)))))))
% 68.76/31.99 | (38) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 68.76/31.99 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0))
% 68.76/31.99 | (40) ! [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)))
% 68.76/31.99 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ (totalorderP(v2) = v0))
% 68.76/31.99 | (42) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (lt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 68.76/31.99 | (43) ~ (all_0_0_0 = all_0_1_1)
% 68.76/31.99 | (44) ssItem(all_0_1_1) = 0
% 68.76/31.99 | (45) ! [v0] : (v0 = nil | ~ (segmentP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 68.76/31.99 | (46) ! [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)))))))
% 68.76/31.99 | (47) ssList(nil) = 0
% 68.76/31.99 | (48) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 68.76/31.99 | (49) ! [v0] : ( ~ (neq(v0, v0) = 0) | ~ (ssItem(v0) = 0))
% 68.76/31.99 | (50) singletonP(all_0_12_12) = 0
% 68.76/31.99 | (51) ! [v0] : ! [v1] : (v0 = nil | ~ (tl(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssList(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 68.76/31.99 | (52) strictorderedP(nil) = 0
% 68.76/31.99 | (53) ~ (all_0_6_6 = 0)
% 68.76/31.99 | (54) ! [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)))
% 68.76/31.99 | (55) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (leq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 68.76/31.99 | (56) ! [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)))
% 68.76/31.99 | (57) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 68.76/31.99 | (58) ssList(all_0_12_12) = 0
% 68.76/31.99 | (59) totalorderedP(nil) = 0
% 68.76/31.99 | (60) ! [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)))))))
% 68.76/31.99 | (61) ! [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)))
% 68.76/31.99 | (62) ! [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))))
% 68.76/32.00 | (63) ! [v0] : ! [v1] : (v1 = v0 | ~ (geq(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (geq(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 68.76/32.00 | (64) app(all_0_5_5, all_0_9_9) = all_0_4_4
% 68.76/32.00 | (65) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ssList(v0) = 0) | ~ (neq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ssList(v1) = v3))
% 68.76/32.00 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tl(v2) = v1) | ~ (tl(v2) = v0))
% 68.76/32.00 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | ~ (duplicatefreeP(v2) = v0))
% 68.76/32.00 | (68) ! [v0] : ( ~ (memberP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 68.76/32.00 | (69) ~ (all_0_13_13 = 0)
% 68.76/32.00 | (70) ! [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)))))
% 68.76/32.00 | (71) ! [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)))))))
% 68.76/32.00 | (72) ! [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)))
% 68.76/32.00 | (73) ! [v0] : (v0 = 0 | ~ (rearsegP(nil, nil) = v0))
% 68.76/32.00 | (74) strictorderP(nil) = 0
% 68.76/32.00 | (75) ! [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)))
% 68.76/32.00 | (76) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderedP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 68.76/32.00 | (77) ! [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)))
% 68.76/32.00 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 68.76/32.00 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 68.76/32.00 | (80) ! [v0] : ( ~ (ssList(v0) = 0) | ~ (neq(v0, v0) = 0))
% 68.76/32.00 | (81) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 68.76/32.00 | (82) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (duplicatefreeP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 68.76/32.00 | (83) ! [v0] : ( ~ (lt(v0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssItem(v0) = v1))
% 68.76/32.00 | (84) ! [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)))
% 68.76/32.00 | (85) ! [v0] : ! [v1] : ( ~ (gt(v0, v1) = 0) | ~ (ssItem(v0) = 0) | ? [v2] : ? [v3] : (gt(v1, v0) = v3 & ssItem(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 68.76/32.00 | (86) ! [v0] : (v0 = 0 | ~ (frontsegP(nil, nil) = v0))
% 68.76/32.00 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (app(v0, v1) = v2) | ? [v3] : ? [v4] : (ssList(v2) = v4 & ssList(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 68.76/32.00 | (88) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (equalelemsP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 68.76/32.00 | (89) ! [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)))
% 68.76/32.00 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderP(v2) = v1) | ~ (strictorderP(v2) = v0))
% 68.76/32.00 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0))
% 68.76/32.00 | (92) ! [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)))
% 68.76/32.00 | (93) ! [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)))
% 69.24/32.00 | (94) ! [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)))))
% 69.24/32.00 | (95) ssList(all_0_5_5) = 0
% 69.24/32.00 | (96) ! [v0] : ! [v1] : (v0 = nil | ~ (hd(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = v1 & ssItem(v1) = 0) | ( ~ (v2 = 0) & ssList(v0) = v2)))
% 69.24/32.00 | (97) ! [v0] : (v0 = 0 | ~ (segmentP(nil, nil) = v0))
% 69.24/32.00 | (98) ! [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)))
% 69.24/32.00 | (99) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = nil) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 69.24/32.01 | (100) ! [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)))))
% 69.24/32.01 | (101) ! [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))))))))
% 69.24/32.01 | (102) ! [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)))
% 69.24/32.01 | (103) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (neq(v0, v1) = v2) | ~ (ssItem(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & ssItem(v1) = v3))
% 69.24/32.01 | (104) ! [v0] : ! [v1] : (v0 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 69.24/32.01 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (singletonP(v0) = v1) | ~ (cons(v2, nil) = v0) | ? [v3] : (( ~ (v3 = 0) & ssList(v0) = v3) | ( ~ (v3 = 0) & ssItem(v2) = v3)))
% 69.24/32.01 | (106) ! [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)))
% 69.24/32.01 | (107) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | ~ (strictorderedP(v2) = v0))
% 69.24/32.01 | (108) ! [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)))))))
% 69.24/32.01 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = v0))
% 69.24/32.01 | (110) app(all_0_3_3, all_0_2_2) = all_0_12_12
% 69.24/32.01 | (111) ssList(all_0_11_11) = 0
% 69.24/32.01 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 69.24/32.01 | (113) ! [v0] : (v0 = nil | ~ (ssList(v0) = 0) | ? [v1] : ? [v2] : (ssList(v1) = 0 & cons(v2, v1) = v0 & ssItem(v2) = 0))
% 69.24/32.01 | (114) equalelemsP(nil) = 0
% 69.24/32.01 | (115) ! [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)))
% 69.24/32.01 | (116) ! [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)))
% 69.24/32.01 | (117) ! [v0] : ( ~ (singletonP(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = v0 & v2 = 0 & cons(v1, nil) = v0 & ssItem(v1) = 0) | ( ~ (v1 = 0) & ssList(v0) = v1)))
% 69.24/32.01 | (118) ssItem(all_0_8_8) = 0
% 69.24/32.01 | (119) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (strictorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 69.24/32.01 | (120) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | ~ (equalelemsP(v2) = v0))
% 69.24/32.01 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 69.24/32.01 | (122) ! [v0] : ! [v1] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 69.24/32.01 | (123) ! [v0] : ! [v1] : (v1 = 0 | ~ (rearsegP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 69.24/32.01 | (124) ! [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)))
% 69.24/32.01 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 69.24/32.01 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ (cyclefreeP(v2) = v0))
% 69.24/32.01 | (127) ! [v0] : ! [v1] : (v1 = 0 | ~ (geq(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssItem(v0) = v2))
% 69.24/32.01 | (128) ! [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))))))))
% 69.24/32.01 | (129) ! [v0] : ! [v1] : ( ~ (cons(v0, nil) = v1) | ? [v2] : ? [v3] : (totalorderP(v1) = v3 & ssItem(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 69.24/32.01 | (130) ! [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)))))))
% 69.24/32.01 | (131) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v1)))
% 69.24/32.01 | (132) ! [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)))))
% 69.24/32.01 | (133) ssItem(all_0_10_10) = 0
% 69.24/32.01 | (134) ! [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)))))
% 69.24/32.01 | (135) ! [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)))
% 69.24/32.01 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 69.24/32.01 | (137) cons(all_0_10_10, nil) = all_0_9_9
% 69.24/32.01 | (138) cyclefreeP(nil) = 0
% 69.24/32.01 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0))
% 69.24/32.01 | (140) ! [v0] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & ssList(v0) = v1))
% 69.24/32.01 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0))
% 69.24/32.01 | (142) ! [v0] : ! [v1] : (v1 = nil | ~ (ssList(v0) = 0) | ~ (app(v0, v1) = nil) | ? [v2] : ( ~ (v2 = 0) & ssList(v1) = v2))
% 69.24/32.01 | (143) ! [v0] : ! [v1] : (v1 = v0 | ~ (app(nil, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 69.24/32.02 | (144) app(all_0_4_4, all_0_7_7) = all_0_3_3
% 69.24/32.02 | (145) ! [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)))
% 69.24/32.02 | (146) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 69.24/32.02 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = nil | ~ (tl(v0) = v2) | ~ (hd(v0) = v1) | ~ (cons(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & ssList(v0) = v4))
% 69.24/32.02 | (148) ! [v0] : ! [v1] : (v1 = 0 | ~ (segmentP(v0, nil) = v1) | ? [v2] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 69.24/32.02 | (149) ssItem(all_0_0_0) = 0
% 69.24/32.02 | (150) ! [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)))))
% 69.24/32.02 | (151) ! [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)))
% 69.24/32.02 | (152) ! [v0] : ! [v1] : ! [v2] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v2) | ? [v3] : ? [v4] : (tl(v2) = v4 & ssItem(v1) = v3 & ( ~ (v3 = 0) | v4 = v0)))
% 69.24/32.02 | (153) ! [v0] : ! [v1] : ( ~ (ssList(v0) = 0) | ~ (cons(v1, v0) = v0) | ? [v2] : ( ~ (v2 = 0) & ssItem(v1) = v2))
% 69.24/32.02 | (154) ! [v0] : ! [v1] : (v1 = v0 | ~ (segmentP(v0, v1) = 0) | ~ (ssList(v0) = 0) | ? [v2] : ? [v3] : (segmentP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 69.24/32.02 | (155) ! [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)))
% 69.24/32.02 | (156) ! [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)))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (112) with all_0_10_10, nil, all_0_9_9, all_0_7_7 and discharging atoms cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (157) all_0_7_7 = all_0_9_9 | ~ (cons(all_0_10_10, nil) = all_0_7_7)
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (117) with all_0_12_12 and discharging atoms singletonP(all_0_12_12) = 0, yields:
% 69.24/32.02 | (158) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_12_12 & v1 = 0 & cons(v0, nil) = all_0_12_12 & ssItem(v0) = 0) | ( ~ (v0 = 0) & ssList(all_0_12_12) = v0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (113) with all_0_12_12 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.24/32.02 | (159) all_0_12_12 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_12_12 & ssItem(v1) = 0)
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (152) 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:
% 69.24/32.02 | (160) ? [v0] : ? [v1] : (tl(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (131) 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:
% 69.24/32.02 | (161) ? [v0] : ? [v1] : (hd(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = all_0_8_8))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (30) 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:
% 69.24/32.02 | (162) ? [v0] : ? [v1] : (ssList(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (88) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 69.24/32.02 | (163) ? [v0] : ? [v1] : (equalelemsP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (82) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 69.24/32.02 | (164) ? [v0] : ? [v1] : (duplicatefreeP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (38) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 69.24/32.02 | (165) ? [v0] : ? [v1] : (strictorderedP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (76) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 69.24/32.02 | (166) ? [v0] : ? [v1] : (totalorderedP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (119) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 69.24/32.02 | (167) ? [v0] : ? [v1] : (strictorderP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (129) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 69.24/32.02 | (168) ? [v0] : ? [v1] : (totalorderP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (33) with all_0_7_7, all_0_8_8 and discharging atoms cons(all_0_8_8, nil) = all_0_7_7, yields:
% 69.24/32.02 | (169) ? [v0] : ? [v1] : (cyclefreeP(all_0_7_7) = v1 & ssItem(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (99) with all_0_8_8, nil and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.02 | (170) ~ (cons(all_0_8_8, nil) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (152) with all_0_9_9, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (171) ? [v0] : ? [v1] : (tl(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (131) with all_0_9_9, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (172) ? [v0] : ? [v1] : (hd(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (30) with all_0_9_9, all_0_10_10, nil and discharging atoms ssList(nil) = 0, cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (173) ? [v0] : ? [v1] : (ssList(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (88) with all_0_9_9, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (174) ? [v0] : ? [v1] : (equalelemsP(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (82) with all_0_9_9, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (175) ? [v0] : ? [v1] : (duplicatefreeP(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (38) with all_0_9_9, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (176) ? [v0] : ? [v1] : (strictorderedP(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (76) with all_0_9_9, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (177) ? [v0] : ? [v1] : (totalorderedP(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (119) with all_0_9_9, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (178) ? [v0] : ? [v1] : (strictorderP(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (129) with all_0_9_9, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (179) ? [v0] : ? [v1] : (totalorderP(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (33) with all_0_9_9, all_0_10_10 and discharging atoms cons(all_0_10_10, nil) = all_0_9_9, yields:
% 69.24/32.02 | (180) ? [v0] : ? [v1] : (cyclefreeP(all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (62) with all_0_12_12, all_0_4_4, all_0_3_3, all_0_7_7, all_0_4_4 and discharging atoms app(all_0_4_4, all_0_7_7) = all_0_3_3, yields:
% 69.24/32.02 | (181) ~ (ssList(all_0_4_4) = 0) | ~ (app(all_0_3_3, all_0_4_4) = all_0_12_12) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (ssList(all_0_4_4) = v0 & app(all_0_4_4, v1) = v2 & app(all_0_7_7, all_0_4_4) = v1 & ( ~ (v0 = 0) | v2 = all_0_12_12)))
% 69.24/32.02 |
% 69.24/32.02 | Instantiating formula (87) with all_0_3_3, all_0_7_7, all_0_4_4 and discharging atoms app(all_0_4_4, all_0_7_7) = all_0_3_3, yields:
% 69.24/32.02 | (182) ~ (ssList(all_0_4_4) = 0) | ? [v0] : ? [v1] : (ssList(all_0_3_3) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.03 |
% 69.24/32.03 | Instantiating formula (62) with all_0_3_3, all_0_7_7, all_0_4_4, all_0_9_9, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, app(all_0_4_4, all_0_7_7) = all_0_3_3, app(all_0_5_5, all_0_9_9) = all_0_4_4, yields:
% 69.24/32.03 | (183) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (ssList(all_0_7_7) = v0 & app(all_0_5_5, v1) = v2 & app(all_0_9_9, all_0_7_7) = v1 & ( ~ (v0 = 0) | v2 = all_0_3_3)))
% 69.24/32.03 |
% 69.24/32.03 | Instantiating formula (87) with all_0_4_4, all_0_9_9, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, app(all_0_5_5, all_0_9_9) = all_0_4_4, yields:
% 69.24/32.03 | (184) ? [v0] : ? [v1] : (ssList(all_0_4_4) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.03 |
% 69.24/32.03 | Instantiating formula (103) with all_0_6_6, all_0_8_8, all_0_10_10 and discharging atoms neq(all_0_10_10, all_0_8_8) = all_0_6_6, ssItem(all_0_10_10) = 0, yields:
% 69.24/32.03 | (185) all_0_6_6 = 0 | all_0_8_8 = all_0_10_10 | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (184) with all_8_0_14, all_8_1_15 yields:
% 69.24/32.03 | (186) ssList(all_0_4_4) = all_8_0_14 & ssList(all_0_9_9) = all_8_1_15 & ( ~ (all_8_1_15 = 0) | all_8_0_14 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (186) yields:
% 69.24/32.03 | (187) ssList(all_0_4_4) = all_8_0_14
% 69.24/32.03 | (188) ssList(all_0_9_9) = all_8_1_15
% 69.24/32.03 | (189) ~ (all_8_1_15 = 0) | all_8_0_14 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (183) with all_10_0_16, all_10_1_17, all_10_2_18 yields:
% 69.24/32.03 | (190) ( ~ (all_10_2_18 = 0) & ssList(all_0_9_9) = all_10_2_18) | (ssList(all_0_7_7) = all_10_2_18 & app(all_0_5_5, all_10_1_17) = all_10_0_16 & app(all_0_9_9, all_0_7_7) = all_10_1_17 & ( ~ (all_10_2_18 = 0) | all_10_0_16 = all_0_3_3))
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (180) with all_11_0_19, all_11_1_20 yields:
% 69.24/32.03 | (191) cyclefreeP(all_0_9_9) = all_11_0_19 & ssItem(all_0_10_10) = all_11_1_20 & ( ~ (all_11_1_20 = 0) | all_11_0_19 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (191) yields:
% 69.24/32.03 | (192) cyclefreeP(all_0_9_9) = all_11_0_19
% 69.24/32.03 | (193) ssItem(all_0_10_10) = all_11_1_20
% 69.24/32.03 | (194) ~ (all_11_1_20 = 0) | all_11_0_19 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (177) with all_13_0_21, all_13_1_22 yields:
% 69.24/32.03 | (195) totalorderedP(all_0_9_9) = all_13_0_21 & ssItem(all_0_10_10) = all_13_1_22 & ( ~ (all_13_1_22 = 0) | all_13_0_21 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (195) yields:
% 69.24/32.03 | (196) totalorderedP(all_0_9_9) = all_13_0_21
% 69.24/32.03 | (197) ssItem(all_0_10_10) = all_13_1_22
% 69.24/32.03 | (198) ~ (all_13_1_22 = 0) | all_13_0_21 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (175) with all_15_0_23, all_15_1_24 yields:
% 69.24/32.03 | (199) duplicatefreeP(all_0_9_9) = all_15_0_23 & ssItem(all_0_10_10) = all_15_1_24 & ( ~ (all_15_1_24 = 0) | all_15_0_23 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (199) yields:
% 69.24/32.03 | (200) duplicatefreeP(all_0_9_9) = all_15_0_23
% 69.24/32.03 | (201) ssItem(all_0_10_10) = all_15_1_24
% 69.24/32.03 | (202) ~ (all_15_1_24 = 0) | all_15_0_23 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (167) with all_17_0_25, all_17_1_26 yields:
% 69.24/32.03 | (203) strictorderP(all_0_7_7) = all_17_0_25 & ssItem(all_0_8_8) = all_17_1_26 & ( ~ (all_17_1_26 = 0) | all_17_0_25 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (203) yields:
% 69.24/32.03 | (204) strictorderP(all_0_7_7) = all_17_0_25
% 69.24/32.03 | (205) ssItem(all_0_8_8) = all_17_1_26
% 69.24/32.03 | (206) ~ (all_17_1_26 = 0) | all_17_0_25 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (165) with all_19_0_27, all_19_1_28 yields:
% 69.24/32.03 | (207) strictorderedP(all_0_7_7) = all_19_0_27 & ssItem(all_0_8_8) = all_19_1_28 & ( ~ (all_19_1_28 = 0) | all_19_0_27 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (207) yields:
% 69.24/32.03 | (208) strictorderedP(all_0_7_7) = all_19_0_27
% 69.24/32.03 | (209) ssItem(all_0_8_8) = all_19_1_28
% 69.24/32.03 | (210) ~ (all_19_1_28 = 0) | all_19_0_27 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (160) with all_21_0_29, all_21_1_30 yields:
% 69.24/32.03 | (211) tl(all_0_7_7) = all_21_0_29 & ssItem(all_0_8_8) = all_21_1_30 & ( ~ (all_21_1_30 = 0) | all_21_0_29 = nil)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (211) yields:
% 69.24/32.03 | (212) tl(all_0_7_7) = all_21_0_29
% 69.24/32.03 | (213) ssItem(all_0_8_8) = all_21_1_30
% 69.24/32.03 | (214) ~ (all_21_1_30 = 0) | all_21_0_29 = nil
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (158) with all_23_0_31, all_23_1_32, all_23_2_33 yields:
% 69.24/32.03 | (215) (all_23_0_31 = all_0_12_12 & all_23_1_32 = 0 & cons(all_23_2_33, nil) = all_0_12_12 & ssItem(all_23_2_33) = 0) | ( ~ (all_23_2_33 = 0) & ssList(all_0_12_12) = all_23_2_33)
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (164) with all_24_0_34, all_24_1_35 yields:
% 69.24/32.03 | (216) duplicatefreeP(all_0_7_7) = all_24_0_34 & ssItem(all_0_8_8) = all_24_1_35 & ( ~ (all_24_1_35 = 0) | all_24_0_34 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (216) yields:
% 69.24/32.03 | (217) duplicatefreeP(all_0_7_7) = all_24_0_34
% 69.24/32.03 | (218) ssItem(all_0_8_8) = all_24_1_35
% 69.24/32.03 | (219) ~ (all_24_1_35 = 0) | all_24_0_34 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (166) with all_26_0_36, all_26_1_37 yields:
% 69.24/32.03 | (220) totalorderedP(all_0_7_7) = all_26_0_36 & ssItem(all_0_8_8) = all_26_1_37 & ( ~ (all_26_1_37 = 0) | all_26_0_36 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (220) yields:
% 69.24/32.03 | (221) totalorderedP(all_0_7_7) = all_26_0_36
% 69.24/32.03 | (222) ssItem(all_0_8_8) = all_26_1_37
% 69.24/32.03 | (223) ~ (all_26_1_37 = 0) | all_26_0_36 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (176) with all_28_0_38, all_28_1_39 yields:
% 69.24/32.03 | (224) strictorderedP(all_0_9_9) = all_28_0_38 & ssItem(all_0_10_10) = all_28_1_39 & ( ~ (all_28_1_39 = 0) | all_28_0_38 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (224) yields:
% 69.24/32.03 | (225) strictorderedP(all_0_9_9) = all_28_0_38
% 69.24/32.03 | (226) ssItem(all_0_10_10) = all_28_1_39
% 69.24/32.03 | (227) ~ (all_28_1_39 = 0) | all_28_0_38 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (174) with all_30_0_40, all_30_1_41 yields:
% 69.24/32.03 | (228) equalelemsP(all_0_9_9) = all_30_0_40 & ssItem(all_0_10_10) = all_30_1_41 & ( ~ (all_30_1_41 = 0) | all_30_0_40 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (228) yields:
% 69.24/32.03 | (229) equalelemsP(all_0_9_9) = all_30_0_40
% 69.24/32.03 | (230) ssItem(all_0_10_10) = all_30_1_41
% 69.24/32.03 | (231) ~ (all_30_1_41 = 0) | all_30_0_40 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (179) with all_32_0_42, all_32_1_43 yields:
% 69.24/32.03 | (232) totalorderP(all_0_9_9) = all_32_0_42 & ssItem(all_0_10_10) = all_32_1_43 & ( ~ (all_32_1_43 = 0) | all_32_0_42 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (232) yields:
% 69.24/32.03 | (233) totalorderP(all_0_9_9) = all_32_0_42
% 69.24/32.03 | (234) ssItem(all_0_10_10) = all_32_1_43
% 69.24/32.03 | (235) ~ (all_32_1_43 = 0) | all_32_0_42 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (178) with all_34_0_44, all_34_1_45 yields:
% 69.24/32.03 | (236) strictorderP(all_0_9_9) = all_34_0_44 & ssItem(all_0_10_10) = all_34_1_45 & ( ~ (all_34_1_45 = 0) | all_34_0_44 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (236) yields:
% 69.24/32.03 | (237) strictorderP(all_0_9_9) = all_34_0_44
% 69.24/32.03 | (238) ssItem(all_0_10_10) = all_34_1_45
% 69.24/32.03 | (239) ~ (all_34_1_45 = 0) | all_34_0_44 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (163) with all_36_0_46, all_36_1_47 yields:
% 69.24/32.03 | (240) equalelemsP(all_0_7_7) = all_36_0_46 & ssItem(all_0_8_8) = all_36_1_47 & ( ~ (all_36_1_47 = 0) | all_36_0_46 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (240) yields:
% 69.24/32.03 | (241) equalelemsP(all_0_7_7) = all_36_0_46
% 69.24/32.03 | (242) ssItem(all_0_8_8) = all_36_1_47
% 69.24/32.03 | (243) ~ (all_36_1_47 = 0) | all_36_0_46 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (173) with all_38_0_48, all_38_1_49 yields:
% 69.24/32.03 | (244) ssList(all_0_9_9) = all_38_0_48 & ssItem(all_0_10_10) = all_38_1_49 & ( ~ (all_38_1_49 = 0) | all_38_0_48 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (244) yields:
% 69.24/32.03 | (245) ssList(all_0_9_9) = all_38_0_48
% 69.24/32.03 | (246) ssItem(all_0_10_10) = all_38_1_49
% 69.24/32.03 | (247) ~ (all_38_1_49 = 0) | all_38_0_48 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (172) with all_40_0_50, all_40_1_51 yields:
% 69.24/32.03 | (248) hd(all_0_9_9) = all_40_0_50 & ssItem(all_0_10_10) = all_40_1_51 & ( ~ (all_40_1_51 = 0) | all_40_0_50 = all_0_10_10)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (248) yields:
% 69.24/32.03 | (249) hd(all_0_9_9) = all_40_0_50
% 69.24/32.03 | (250) ssItem(all_0_10_10) = all_40_1_51
% 69.24/32.03 | (251) ~ (all_40_1_51 = 0) | all_40_0_50 = all_0_10_10
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (162) with all_42_0_52, all_42_1_53 yields:
% 69.24/32.03 | (252) ssList(all_0_7_7) = all_42_0_52 & ssItem(all_0_8_8) = all_42_1_53 & ( ~ (all_42_1_53 = 0) | all_42_0_52 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (252) yields:
% 69.24/32.03 | (253) ssList(all_0_7_7) = all_42_0_52
% 69.24/32.03 | (254) ssItem(all_0_8_8) = all_42_1_53
% 69.24/32.03 | (255) ~ (all_42_1_53 = 0) | all_42_0_52 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (161) with all_44_0_54, all_44_1_55 yields:
% 69.24/32.03 | (256) hd(all_0_7_7) = all_44_0_54 & ssItem(all_0_8_8) = all_44_1_55 & ( ~ (all_44_1_55 = 0) | all_44_0_54 = all_0_8_8)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (256) yields:
% 69.24/32.03 | (257) hd(all_0_7_7) = all_44_0_54
% 69.24/32.03 | (258) ssItem(all_0_8_8) = all_44_1_55
% 69.24/32.03 | (259) ~ (all_44_1_55 = 0) | all_44_0_54 = all_0_8_8
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (171) with all_46_0_56, all_46_1_57 yields:
% 69.24/32.03 | (260) tl(all_0_9_9) = all_46_0_56 & ssItem(all_0_10_10) = all_46_1_57 & ( ~ (all_46_1_57 = 0) | all_46_0_56 = nil)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (260) yields:
% 69.24/32.03 | (261) tl(all_0_9_9) = all_46_0_56
% 69.24/32.03 | (262) ssItem(all_0_10_10) = all_46_1_57
% 69.24/32.03 | (263) ~ (all_46_1_57 = 0) | all_46_0_56 = nil
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (169) with all_48_0_58, all_48_1_59 yields:
% 69.24/32.03 | (264) cyclefreeP(all_0_7_7) = all_48_0_58 & ssItem(all_0_8_8) = all_48_1_59 & ( ~ (all_48_1_59 = 0) | all_48_0_58 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (264) yields:
% 69.24/32.03 | (265) cyclefreeP(all_0_7_7) = all_48_0_58
% 69.24/32.03 | (266) ssItem(all_0_8_8) = all_48_1_59
% 69.24/32.03 | (267) ~ (all_48_1_59 = 0) | all_48_0_58 = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating (168) with all_50_0_60, all_50_1_61 yields:
% 69.24/32.03 | (268) totalorderP(all_0_7_7) = all_50_0_60 & ssItem(all_0_8_8) = all_50_1_61 & ( ~ (all_50_1_61 = 0) | all_50_0_60 = 0)
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (268) yields:
% 69.24/32.03 | (269) totalorderP(all_0_7_7) = all_50_0_60
% 69.24/32.03 | (270) ssItem(all_0_8_8) = all_50_1_61
% 69.24/32.03 | (271) ~ (all_50_1_61 = 0) | all_50_0_60 = 0
% 69.24/32.03 |
% 69.24/32.03 +-Applying beta-rule and splitting (215), into two cases.
% 69.24/32.03 |-Branch one:
% 69.24/32.03 | (272) all_23_0_31 = all_0_12_12 & all_23_1_32 = 0 & cons(all_23_2_33, nil) = all_0_12_12 & ssItem(all_23_2_33) = 0
% 69.24/32.03 |
% 69.24/32.03 | Applying alpha-rule on (272) yields:
% 69.24/32.03 | (273) all_23_0_31 = all_0_12_12
% 69.24/32.03 | (274) all_23_1_32 = 0
% 69.24/32.03 | (275) cons(all_23_2_33, nil) = all_0_12_12
% 69.24/32.03 | (276) ssItem(all_23_2_33) = 0
% 69.24/32.03 |
% 69.24/32.03 | Instantiating formula (66) with all_0_9_9, all_46_0_56, all_21_0_29 and discharging atoms tl(all_0_9_9) = all_46_0_56, yields:
% 69.24/32.03 | (277) all_46_0_56 = all_21_0_29 | ~ (tl(all_0_9_9) = all_21_0_29)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (146) with all_0_9_9, all_40_0_50, all_44_0_54 and discharging atoms hd(all_0_9_9) = all_40_0_50, yields:
% 69.24/32.04 | (278) all_44_0_54 = all_40_0_50 | ~ (hd(all_0_9_9) = all_44_0_54)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_4_4, all_8_0_14, 0 and discharging atoms ssList(all_0_4_4) = all_8_0_14, yields:
% 69.24/32.04 | (279) all_8_0_14 = 0 | ~ (ssList(all_0_4_4) = 0)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_5_5, all_8_0_14, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 69.24/32.04 | (280) all_8_0_14 = 0 | ~ (ssList(all_0_5_5) = all_8_0_14)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_11_11, all_8_0_14, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.24/32.04 | (281) all_8_0_14 = 0 | ~ (ssList(all_0_11_11) = all_8_0_14)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_12_12, all_8_0_14, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.24/32.04 | (282) all_8_0_14 = 0 | ~ (ssList(all_0_12_12) = all_8_0_14)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with nil, all_8_0_14, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.04 | (283) all_8_0_14 = 0 | ~ (ssList(nil) = all_8_0_14)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_7_7, all_42_0_52, 0 and discharging atoms ssList(all_0_7_7) = all_42_0_52, yields:
% 69.24/32.04 | (284) all_42_0_52 = 0 | ~ (ssList(all_0_7_7) = 0)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_11_11, all_42_0_52, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.24/32.04 | (285) all_42_0_52 = 0 | ~ (ssList(all_0_11_11) = all_42_0_52)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_12_12, all_42_0_52, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.24/32.04 | (286) all_42_0_52 = 0 | ~ (ssList(all_0_12_12) = all_42_0_52)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with nil, all_42_0_52, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.04 | (287) all_42_0_52 = 0 | ~ (ssList(nil) = all_42_0_52)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_7_7, all_42_0_52, all_8_0_14 and discharging atoms ssList(all_0_7_7) = all_42_0_52, yields:
% 69.24/32.04 | (288) all_42_0_52 = all_8_0_14 | ~ (ssList(all_0_7_7) = all_8_0_14)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_9_9, all_38_0_48, 0 and discharging atoms ssList(all_0_9_9) = all_38_0_48, yields:
% 69.24/32.04 | (289) all_38_0_48 = 0 | ~ (ssList(all_0_9_9) = 0)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_11_11, all_38_0_48, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.24/32.04 | (290) all_38_0_48 = 0 | ~ (ssList(all_0_11_11) = all_38_0_48)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_12_12, all_38_0_48, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.24/32.04 | (291) all_38_0_48 = 0 | ~ (ssList(all_0_12_12) = all_38_0_48)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with nil, all_38_0_48, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.04 | (292) all_38_0_48 = 0 | ~ (ssList(nil) = all_38_0_48)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_9_9, all_38_0_48, all_8_0_14 and discharging atoms ssList(all_0_9_9) = all_38_0_48, yields:
% 69.24/32.04 | (293) all_38_0_48 = all_8_0_14 | ~ (ssList(all_0_9_9) = all_8_0_14)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_9_9, all_38_0_48, all_42_0_52 and discharging atoms ssList(all_0_9_9) = all_38_0_48, yields:
% 69.24/32.04 | (294) all_42_0_52 = all_38_0_48 | ~ (ssList(all_0_9_9) = all_42_0_52)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_9_9, all_8_1_15, 0 and discharging atoms ssList(all_0_9_9) = all_8_1_15, yields:
% 69.24/32.04 | (295) all_8_1_15 = 0 | ~ (ssList(all_0_9_9) = 0)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_11_11, all_8_1_15, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.24/32.04 | (296) all_8_1_15 = 0 | ~ (ssList(all_0_11_11) = all_8_1_15)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_12_12, all_8_1_15, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.24/32.04 | (297) all_8_1_15 = 0 | ~ (ssList(all_0_12_12) = all_8_1_15)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with nil, all_8_1_15, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.04 | (298) all_8_1_15 = 0 | ~ (ssList(nil) = all_8_1_15)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_9_9, all_8_1_15, all_8_0_14 and discharging atoms ssList(all_0_9_9) = all_8_1_15, yields:
% 69.24/32.04 | (299) all_8_0_14 = all_8_1_15 | ~ (ssList(all_0_9_9) = all_8_0_14)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_9_9, all_8_1_15, all_42_0_52 and discharging atoms ssList(all_0_9_9) = all_8_1_15, yields:
% 69.24/32.04 | (300) all_42_0_52 = all_8_1_15 | ~ (ssList(all_0_9_9) = all_42_0_52)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (14) with all_0_9_9, all_8_1_15, all_38_0_48 and discharging atoms ssList(all_0_9_9) = all_38_0_48, ssList(all_0_9_9) = all_8_1_15, yields:
% 69.24/32.04 | (301) all_38_0_48 = all_8_1_15
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_50_1_61, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (302) all_50_1_61 = 0 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_48_1_59, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (303) all_48_1_59 = 0 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_44_1_55, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (304) all_44_1_55 = 0 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_44_1_55, all_48_1_59 and discharging atoms ssItem(all_0_8_8) = all_48_1_59, ssItem(all_0_8_8) = all_44_1_55, yields:
% 69.24/32.04 | (305) all_48_1_59 = all_44_1_55
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_42_1_53, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (306) all_42_1_53 = 0 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_36_1_47, 0 and discharging atoms ssItem(all_0_8_8) = all_36_1_47, ssItem(all_0_8_8) = 0, yields:
% 69.24/32.04 | (307) all_36_1_47 = 0
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_36_1_47, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (308) all_36_1_47 = 0 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_36_1_47, all_50_1_61 and discharging atoms ssItem(all_0_8_8) = all_50_1_61, ssItem(all_0_8_8) = all_36_1_47, yields:
% 69.24/32.04 | (309) all_50_1_61 = all_36_1_47
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_36_1_47, all_44_1_55 and discharging atoms ssItem(all_0_8_8) = all_44_1_55, ssItem(all_0_8_8) = all_36_1_47, yields:
% 69.24/32.04 | (310) all_44_1_55 = all_36_1_47
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_36_1_47, all_42_1_53 and discharging atoms ssItem(all_0_8_8) = all_42_1_53, ssItem(all_0_8_8) = all_36_1_47, yields:
% 69.24/32.04 | (311) all_42_1_53 = all_36_1_47
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_26_1_37, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (312) all_26_1_37 = 0 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_26_1_37, all_44_1_55 and discharging atoms ssItem(all_0_8_8) = all_44_1_55, ssItem(all_0_8_8) = all_26_1_37, yields:
% 69.24/32.04 | (313) all_44_1_55 = all_26_1_37
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_24_1_35, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (314) all_24_1_35 = 0 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_24_1_35, all_42_1_53 and discharging atoms ssItem(all_0_8_8) = all_42_1_53, ssItem(all_0_8_8) = all_24_1_35, yields:
% 69.24/32.04 | (315) all_42_1_53 = all_24_1_35
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_21_1_30, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (316) all_21_1_30 = 0 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_21_1_30, all_36_1_47 and discharging atoms ssItem(all_0_8_8) = all_36_1_47, ssItem(all_0_8_8) = all_21_1_30, yields:
% 69.24/32.04 | (317) all_36_1_47 = all_21_1_30
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_19_1_28, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (318) all_19_1_28 = 0 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_19_1_28, all_50_1_61 and discharging atoms ssItem(all_0_8_8) = all_50_1_61, ssItem(all_0_8_8) = all_19_1_28, yields:
% 69.24/32.04 | (319) all_50_1_61 = all_19_1_28
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_17_1_26, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (320) all_17_1_26 = 0 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_8_8, all_17_1_26, all_48_1_59 and discharging atoms ssItem(all_0_8_8) = all_48_1_59, ssItem(all_0_8_8) = all_17_1_26, yields:
% 69.24/32.04 | (321) all_48_1_59 = all_17_1_26
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, 0 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, ssItem(all_0_10_10) = 0, yields:
% 69.24/32.04 | (322) all_46_1_57 = 0
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (323) all_50_1_61 = all_46_1_57 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (324) all_48_1_59 = all_46_1_57 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (325) all_46_1_57 = all_44_1_55 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (326) all_46_1_57 = all_42_1_53 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (327) all_46_1_57 = all_36_1_47 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (328) all_46_1_57 = all_26_1_37 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (329) all_46_1_57 = all_24_1_35 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (330) all_46_1_57 = all_21_1_30 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (331) all_46_1_57 = all_19_1_28 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_46_1_57, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, yields:
% 69.24/32.04 | (332) all_46_1_57 = all_17_1_26 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (333) all_50_1_61 = all_40_1_51 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (334) all_48_1_59 = all_40_1_51 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (335) all_44_1_55 = all_40_1_51 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (336) all_42_1_53 = all_40_1_51 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (337) all_40_1_51 = all_36_1_47 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (338) all_40_1_51 = all_26_1_37 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (339) all_40_1_51 = all_24_1_35 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (340) all_40_1_51 = all_21_1_30 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (341) all_40_1_51 = all_19_1_28 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (342) all_40_1_51 = all_17_1_26 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_40_1_51, all_46_1_57 and discharging atoms ssItem(all_0_10_10) = all_46_1_57, ssItem(all_0_10_10) = all_40_1_51, yields:
% 69.24/32.04 | (343) all_46_1_57 = all_40_1_51
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.04 | (344) all_50_1_61 = all_38_1_49 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.04 |
% 69.24/32.04 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.04 | (345) all_48_1_59 = all_38_1_49 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.05 | (346) all_44_1_55 = all_38_1_49 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.05 | (347) all_42_1_53 = all_38_1_49 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.05 | (348) all_38_1_49 = all_36_1_47 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.05 | (349) all_38_1_49 = all_26_1_37 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.05 | (350) all_38_1_49 = all_24_1_35 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.05 | (351) all_38_1_49 = all_21_1_30 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.05 | (352) all_38_1_49 = all_19_1_28 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_38_1_49, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, yields:
% 69.24/32.05 | (353) all_38_1_49 = all_17_1_26 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (354) all_50_1_61 = all_34_1_45 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (355) all_48_1_59 = all_34_1_45 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (356) all_44_1_55 = all_34_1_45 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (357) all_42_1_53 = all_34_1_45 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (358) all_36_1_47 = all_34_1_45 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (359) all_34_1_45 = all_26_1_37 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (360) all_34_1_45 = all_24_1_35 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (361) all_34_1_45 = all_21_1_30 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (362) all_34_1_45 = all_19_1_28 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_34_1_45, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_34_1_45, yields:
% 69.24/32.05 | (363) all_34_1_45 = all_17_1_26 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (364) all_50_1_61 = all_32_1_43 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (365) all_48_1_59 = all_32_1_43 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (366) all_44_1_55 = all_32_1_43 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (367) all_42_1_53 = all_32_1_43 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (368) all_36_1_47 = all_32_1_43 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (369) all_32_1_43 = all_26_1_37 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (370) all_32_1_43 = all_24_1_35 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (371) all_32_1_43 = all_21_1_30 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (372) all_32_1_43 = all_19_1_28 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (373) all_32_1_43 = all_17_1_26 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_32_1_43, all_38_1_49 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, ssItem(all_0_10_10) = all_32_1_43, yields:
% 69.24/32.05 | (374) all_38_1_49 = all_32_1_43
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (375) all_50_1_61 = all_30_1_41 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (376) all_48_1_59 = all_30_1_41 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (377) all_44_1_55 = all_30_1_41 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (378) all_42_1_53 = all_30_1_41 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (379) all_36_1_47 = all_30_1_41 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (380) all_30_1_41 = all_26_1_37 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (381) all_30_1_41 = all_24_1_35 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (382) all_30_1_41 = all_21_1_30 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (383) all_30_1_41 = all_19_1_28 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (384) all_30_1_41 = all_17_1_26 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_40_1_51 and discharging atoms ssItem(all_0_10_10) = all_40_1_51, ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (385) all_40_1_51 = all_30_1_41
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_30_1_41, all_32_1_43 and discharging atoms ssItem(all_0_10_10) = all_32_1_43, ssItem(all_0_10_10) = all_30_1_41, yields:
% 69.24/32.05 | (386) all_32_1_43 = all_30_1_41
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (387) all_50_1_61 = all_28_1_39 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (388) all_48_1_59 = all_28_1_39 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (389) all_44_1_55 = all_28_1_39 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (390) all_42_1_53 = all_28_1_39 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (391) all_36_1_47 = all_28_1_39 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (392) all_28_1_39 = all_26_1_37 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (393) all_28_1_39 = all_24_1_35 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (394) all_28_1_39 = all_21_1_30 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (395) all_28_1_39 = all_19_1_28 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_28_1_39, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_28_1_39, yields:
% 69.24/32.05 | (396) all_28_1_39 = all_17_1_26 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (397) all_50_1_61 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (398) all_48_1_59 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (399) all_44_1_55 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (400) all_42_1_53 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (401) all_36_1_47 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (402) all_26_1_37 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (403) all_24_1_35 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (404) all_21_1_30 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (405) all_19_1_28 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (406) all_17_1_26 = all_15_1_24 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_15_1_24, all_38_1_49 and discharging atoms ssItem(all_0_10_10) = all_38_1_49, ssItem(all_0_10_10) = all_15_1_24, yields:
% 69.24/32.05 | (407) all_38_1_49 = all_15_1_24
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.05 | (408) all_50_1_61 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.05 | (409) all_48_1_59 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.05 | (410) all_44_1_55 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.05 | (411) all_42_1_53 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.05 |
% 69.24/32.05 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.06 | (412) all_36_1_47 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.06 | (413) all_26_1_37 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.06 | (414) all_24_1_35 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.06 | (415) all_21_1_30 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.06 | (416) all_19_1_28 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_13_1_22, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_13_1_22, yields:
% 69.24/32.06 | (417) all_17_1_26 = all_13_1_22 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_50_1_61 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (418) all_50_1_61 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_48_1_59 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (419) all_48_1_59 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_44_1_55 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (420) all_44_1_55 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_42_1_53 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (421) all_42_1_53 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_36_1_47 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (422) all_36_1_47 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_26_1_37 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (423) all_26_1_37 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_24_1_35 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (424) all_24_1_35 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_21_1_30 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (425) all_21_1_30 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_19_1_28 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (426) all_19_1_28 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.24/32.06 |
% 69.24/32.06 | Instantiating formula (79) with all_0_10_10, all_11_1_20, all_17_1_26 and discharging atoms ssItem(all_0_10_10) = all_11_1_20, yields:
% 69.24/32.06 | (427) all_17_1_26 = all_11_1_20 | ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (309,319) yields a new equation:
% 69.24/32.06 | (428) all_36_1_47 = all_19_1_28
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 428 yields:
% 69.24/32.06 | (429) all_36_1_47 = all_19_1_28
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (305,321) yields a new equation:
% 69.24/32.06 | (430) all_44_1_55 = all_17_1_26
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 430 yields:
% 69.24/32.06 | (431) all_44_1_55 = all_17_1_26
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (343,322) yields a new equation:
% 69.24/32.06 | (432) all_40_1_51 = 0
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 432 yields:
% 69.24/32.06 | (433) all_40_1_51 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (310,313) yields a new equation:
% 69.24/32.06 | (434) all_36_1_47 = all_26_1_37
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 434 yields:
% 69.24/32.06 | (435) all_36_1_47 = all_26_1_37
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (431,313) yields a new equation:
% 69.24/32.06 | (436) all_26_1_37 = all_17_1_26
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (311,315) yields a new equation:
% 69.24/32.06 | (437) all_36_1_47 = all_24_1_35
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 437 yields:
% 69.24/32.06 | (438) all_36_1_47 = all_24_1_35
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (385,433) yields a new equation:
% 69.24/32.06 | (439) all_30_1_41 = 0
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 439 yields:
% 69.24/32.06 | (440) all_30_1_41 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (374,407) yields a new equation:
% 69.24/32.06 | (441) all_32_1_43 = all_15_1_24
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 441 yields:
% 69.24/32.06 | (442) all_32_1_43 = all_15_1_24
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (429,438) yields a new equation:
% 69.24/32.06 | (443) all_24_1_35 = all_19_1_28
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (317,438) yields a new equation:
% 69.24/32.06 | (444) all_24_1_35 = all_21_1_30
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (307,438) yields a new equation:
% 69.24/32.06 | (445) all_24_1_35 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (435,438) yields a new equation:
% 69.24/32.06 | (446) all_26_1_37 = all_24_1_35
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 446 yields:
% 69.24/32.06 | (447) all_26_1_37 = all_24_1_35
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (386,442) yields a new equation:
% 69.24/32.06 | (448) all_30_1_41 = all_15_1_24
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 448 yields:
% 69.24/32.06 | (449) all_30_1_41 = all_15_1_24
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (440,449) yields a new equation:
% 69.24/32.06 | (450) all_15_1_24 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (447,436) yields a new equation:
% 69.24/32.06 | (451) all_24_1_35 = all_17_1_26
% 69.24/32.06 |
% 69.24/32.06 | Simplifying 451 yields:
% 69.24/32.06 | (452) all_24_1_35 = all_17_1_26
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (452,444) yields a new equation:
% 69.24/32.06 | (453) all_21_1_30 = all_17_1_26
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (445,444) yields a new equation:
% 69.24/32.06 | (454) all_21_1_30 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (443,444) yields a new equation:
% 69.24/32.06 | (455) all_21_1_30 = all_19_1_28
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (454,455) yields a new equation:
% 69.24/32.06 | (456) all_19_1_28 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (453,455) yields a new equation:
% 69.24/32.06 | (457) all_19_1_28 = all_17_1_26
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (456,457) yields a new equation:
% 69.24/32.06 | (458) all_17_1_26 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (458,457) yields a new equation:
% 69.24/32.06 | (456) all_19_1_28 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (456,455) yields a new equation:
% 69.24/32.06 | (454) all_21_1_30 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (454,444) yields a new equation:
% 69.24/32.06 | (445) all_24_1_35 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (458,436) yields a new equation:
% 69.24/32.06 | (462) all_26_1_37 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (450,449) yields a new equation:
% 69.24/32.06 | (440) all_30_1_41 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (445,438) yields a new equation:
% 69.24/32.06 | (307) all_36_1_47 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (450,407) yields a new equation:
% 69.24/32.06 | (465) all_38_1_49 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (445,315) yields a new equation:
% 69.24/32.06 | (466) all_42_1_53 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (462,313) yields a new equation:
% 69.24/32.06 | (467) all_44_1_55 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (458,321) yields a new equation:
% 69.24/32.06 | (468) all_48_1_59 = 0
% 69.24/32.06 |
% 69.24/32.06 | Combining equations (456,319) yields a new equation:
% 69.24/32.06 | (469) all_50_1_61 = 0
% 69.24/32.06 |
% 69.24/32.06 | From (458) and (205) follows:
% 69.24/32.06 | (118) ssItem(all_0_8_8) = 0
% 69.24/32.06 |
% 69.24/32.06 +-Applying beta-rule and splitting (219), into two cases.
% 69.24/32.06 |-Branch one:
% 69.24/32.06 | (471) ~ (all_24_1_35 = 0)
% 69.24/32.06 |
% 69.24/32.06 | Equations (445) can reduce 471 to:
% 69.24/32.06 | (472) $false
% 69.24/32.06 |
% 69.24/32.06 |-The branch is then unsatisfiable
% 69.24/32.06 |-Branch two:
% 69.24/32.06 | (445) all_24_1_35 = 0
% 69.24/32.06 | (474) all_24_0_34 = 0
% 69.24/32.06 |
% 69.24/32.06 +-Applying beta-rule and splitting (210), into two cases.
% 69.24/32.06 |-Branch one:
% 69.24/32.06 | (475) ~ (all_19_1_28 = 0)
% 69.24/32.06 |
% 69.24/32.06 | Equations (456) can reduce 475 to:
% 69.24/32.06 | (472) $false
% 69.24/32.06 |
% 69.24/32.06 |-The branch is then unsatisfiable
% 69.24/32.06 |-Branch two:
% 69.24/32.06 | (456) all_19_1_28 = 0
% 69.24/32.06 | (478) all_19_0_27 = 0
% 69.24/32.06 |
% 69.24/32.06 +-Applying beta-rule and splitting (214), into two cases.
% 69.24/32.06 |-Branch one:
% 69.24/32.06 | (479) ~ (all_21_1_30 = 0)
% 69.24/32.06 |
% 69.24/32.06 | Equations (454) can reduce 479 to:
% 69.24/32.06 | (472) $false
% 69.24/32.06 |
% 69.24/32.06 |-The branch is then unsatisfiable
% 69.24/32.06 |-Branch two:
% 69.24/32.06 | (454) all_21_1_30 = 0
% 69.24/32.06 | (482) all_21_0_29 = nil
% 69.24/32.06 |
% 69.24/32.06 +-Applying beta-rule and splitting (206), into two cases.
% 69.24/32.06 |-Branch one:
% 69.24/32.06 | (483) ~ (all_17_1_26 = 0)
% 69.24/32.06 |
% 69.24/32.06 | Equations (458) can reduce 483 to:
% 69.24/32.06 | (472) $false
% 69.24/32.06 |
% 69.24/32.06 |-The branch is then unsatisfiable
% 69.24/32.06 |-Branch two:
% 69.24/32.06 | (458) all_17_1_26 = 0
% 69.24/32.06 | (486) all_17_0_25 = 0
% 69.24/32.06 |
% 69.24/32.06 +-Applying beta-rule and splitting (259), into two cases.
% 69.24/32.06 |-Branch one:
% 69.24/32.06 | (487) ~ (all_44_1_55 = 0)
% 69.24/32.06 |
% 69.24/32.06 | Equations (467) can reduce 487 to:
% 69.24/32.06 | (472) $false
% 69.24/32.06 |
% 69.24/32.06 |-The branch is then unsatisfiable
% 69.24/32.06 |-Branch two:
% 69.24/32.06 | (467) all_44_1_55 = 0
% 69.24/32.06 | (490) all_44_0_54 = all_0_8_8
% 69.24/32.06 |
% 69.24/32.06 | From (490) and (257) follows:
% 69.24/32.06 | (491) hd(all_0_7_7) = all_0_8_8
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (170), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (492) ~ (cons(all_0_8_8, nil) = nil)
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (243), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (493) ~ (all_36_1_47 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Equations (307) can reduce 493 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (307) all_36_1_47 = 0
% 69.24/32.07 | (496) all_36_0_46 = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (267), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (497) ~ (all_48_1_59 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Equations (468) can reduce 497 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (468) all_48_1_59 = 0
% 69.24/32.07 | (500) all_48_0_58 = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (231), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (501) ~ (all_30_1_41 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Equations (440) can reduce 501 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (440) all_30_1_41 = 0
% 69.24/32.07 | (504) all_30_0_40 = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (185), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (505) all_0_6_6 = 0
% 69.24/32.07 |
% 69.24/32.07 | Equations (505) can reduce 53 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (53) ~ (all_0_6_6 = 0)
% 69.24/32.07 | (508) all_0_8_8 = all_0_10_10 | ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (223), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (509) ~ (all_26_1_37 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Equations (462) can reduce 509 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (462) all_26_1_37 = 0
% 69.24/32.07 | (512) all_26_0_36 = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (255), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (513) ~ (all_42_1_53 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Equations (466) can reduce 513 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (466) all_42_1_53 = 0
% 69.24/32.07 | (516) all_42_0_52 = 0
% 69.24/32.07 |
% 69.24/32.07 | From (516) and (253) follows:
% 69.24/32.07 | (517) ssList(all_0_7_7) = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (271), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (518) ~ (all_50_1_61 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Equations (469) can reduce 518 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (469) all_50_1_61 = 0
% 69.24/32.07 | (521) all_50_0_60 = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (508), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (522) all_0_8_8 = all_0_10_10
% 69.24/32.07 |
% 69.24/32.07 | Combining equations (522,490) yields a new equation:
% 69.24/32.07 | (523) all_44_0_54 = all_0_10_10
% 69.24/32.07 |
% 69.24/32.07 | From (522) and (491) follows:
% 69.24/32.07 | (524) hd(all_0_7_7) = all_0_10_10
% 69.24/32.07 |
% 69.24/32.07 | From (522) and (26) follows:
% 69.24/32.07 | (525) cons(all_0_10_10, nil) = all_0_7_7
% 69.24/32.07 |
% 69.24/32.07 | From (522) and (118) follows:
% 69.24/32.07 | (133) ssItem(all_0_10_10) = 0
% 69.24/32.07 |
% 69.24/32.07 | From (522) and (492) follows:
% 69.24/32.07 | (527) ~ (cons(all_0_10_10, nil) = nil)
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (247), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (528) ~ (all_38_1_49 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Equations (465) can reduce 528 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (465) all_38_1_49 = 0
% 69.24/32.07 | (531) all_38_0_48 = 0
% 69.24/32.07 |
% 69.24/32.07 | Combining equations (301,531) yields a new equation:
% 69.24/32.07 | (532) all_8_1_15 = 0
% 69.24/32.07 |
% 69.24/32.07 | Simplifying 532 yields:
% 69.24/32.07 | (533) all_8_1_15 = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (190), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (534) ~ (all_10_2_18 = 0) & ssList(all_0_9_9) = all_10_2_18
% 69.24/32.07 |
% 69.24/32.07 | Applying alpha-rule on (534) yields:
% 69.24/32.07 | (535) ~ (all_10_2_18 = 0)
% 69.24/32.07 | (536) ssList(all_0_9_9) = all_10_2_18
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (157), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (537) ~ (cons(all_0_10_10, nil) = all_0_7_7)
% 69.24/32.07 |
% 69.24/32.07 | Using (525) and (537) yields:
% 69.24/32.07 | (538) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (525) cons(all_0_10_10, nil) = all_0_7_7
% 69.24/32.07 | (540) all_0_7_7 = all_0_9_9
% 69.24/32.07 |
% 69.24/32.07 | From (540) and (517) follows:
% 69.24/32.07 | (541) ssList(all_0_9_9) = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (189), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (542) ~ (all_8_1_15 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Equations (533) can reduce 542 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (533) all_8_1_15 = 0
% 69.24/32.07 | (545) all_8_0_14 = 0
% 69.24/32.07 |
% 69.24/32.07 | From (545) and (187) follows:
% 69.24/32.07 | (546) ssList(all_0_4_4) = 0
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (182), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (547) ~ (ssList(all_0_4_4) = 0)
% 69.24/32.07 |
% 69.24/32.07 | Using (546) and (547) yields:
% 69.24/32.07 | (538) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (546) ssList(all_0_4_4) = 0
% 69.24/32.07 | (550) ? [v0] : ? [v1] : (ssList(all_0_3_3) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.07 |
% 69.24/32.07 | Instantiating (550) with all_172_0_62, all_172_1_63 yields:
% 69.24/32.07 | (551) ssList(all_0_3_3) = all_172_0_62 & ssList(all_0_7_7) = all_172_1_63 & ( ~ (all_172_1_63 = 0) | all_172_0_62 = 0)
% 69.24/32.07 |
% 69.24/32.07 | Applying alpha-rule on (551) yields:
% 69.24/32.07 | (552) ssList(all_0_3_3) = all_172_0_62
% 69.24/32.07 | (553) ssList(all_0_7_7) = all_172_1_63
% 69.24/32.07 | (554) ~ (all_172_1_63 = 0) | all_172_0_62 = 0
% 69.24/32.07 |
% 69.24/32.07 | From (540) and (553) follows:
% 69.24/32.07 | (555) ssList(all_0_9_9) = all_172_1_63
% 69.24/32.07 |
% 69.24/32.07 | Instantiating formula (14) with all_0_9_9, all_172_1_63, 0 and discharging atoms ssList(all_0_9_9) = all_172_1_63, ssList(all_0_9_9) = 0, yields:
% 69.24/32.07 | (556) all_172_1_63 = 0
% 69.24/32.07 |
% 69.24/32.07 | Instantiating formula (14) with all_0_9_9, all_10_2_18, all_172_1_63 and discharging atoms ssList(all_0_9_9) = all_172_1_63, ssList(all_0_9_9) = all_10_2_18, yields:
% 69.24/32.07 | (557) all_172_1_63 = all_10_2_18
% 69.24/32.07 |
% 69.24/32.07 | Combining equations (557,556) yields a new equation:
% 69.24/32.07 | (558) all_10_2_18 = 0
% 69.24/32.07 |
% 69.24/32.07 | Simplifying 558 yields:
% 69.24/32.07 | (559) all_10_2_18 = 0
% 69.24/32.07 |
% 69.24/32.07 | Equations (559) can reduce 535 to:
% 69.24/32.07 | (472) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (561) ssList(all_0_7_7) = all_10_2_18 & app(all_0_5_5, all_10_1_17) = all_10_0_16 & app(all_0_9_9, all_0_7_7) = all_10_1_17 & ( ~ (all_10_2_18 = 0) | all_10_0_16 = all_0_3_3)
% 69.24/32.07 |
% 69.24/32.07 | Applying alpha-rule on (561) yields:
% 69.24/32.07 | (562) ssList(all_0_7_7) = all_10_2_18
% 69.24/32.07 | (563) app(all_0_5_5, all_10_1_17) = all_10_0_16
% 69.24/32.07 | (564) app(all_0_9_9, all_0_7_7) = all_10_1_17
% 69.24/32.07 | (565) ~ (all_10_2_18 = 0) | all_10_0_16 = all_0_3_3
% 69.24/32.07 |
% 69.24/32.07 +-Applying beta-rule and splitting (157), into two cases.
% 69.24/32.07 |-Branch one:
% 69.24/32.07 | (537) ~ (cons(all_0_10_10, nil) = all_0_7_7)
% 69.24/32.07 |
% 69.24/32.07 | Using (525) and (537) yields:
% 69.24/32.07 | (538) $false
% 69.24/32.07 |
% 69.24/32.07 |-The branch is then unsatisfiable
% 69.24/32.07 |-Branch two:
% 69.24/32.07 | (525) cons(all_0_10_10, nil) = all_0_7_7
% 69.24/32.07 | (540) all_0_7_7 = all_0_9_9
% 69.24/32.07 |
% 69.24/32.07 | From (540) and (524) follows:
% 69.24/32.07 | (570) hd(all_0_9_9) = all_0_10_10
% 69.24/32.07 |
% 69.24/32.07 | From (540) and (562) follows:
% 69.24/32.07 | (536) ssList(all_0_9_9) = all_10_2_18
% 69.24/32.07 |
% 69.24/32.07 | From (540) and (517) follows:
% 69.24/32.07 | (541) ssList(all_0_9_9) = 0
% 69.24/32.07 |
% 69.24/32.07 | From (540) and (525) follows:
% 69.24/32.07 | (137) cons(all_0_10_10, nil) = all_0_9_9
% 69.24/32.07 |
% 69.24/32.07 | From (540) and (144) follows:
% 69.24/32.07 | (574) app(all_0_4_4, all_0_9_9) = all_0_3_3
% 69.24/32.07 |
% 69.24/32.07 | From (540) and (564) follows:
% 69.24/32.07 | (575) app(all_0_9_9, all_0_9_9) = all_10_1_17
% 69.24/32.07 |
% 69.24/32.08 +-Applying beta-rule and splitting (189), into two cases.
% 69.24/32.08 |-Branch one:
% 69.24/32.08 | (542) ~ (all_8_1_15 = 0)
% 69.24/32.08 |
% 69.24/32.08 | Equations (533) can reduce 542 to:
% 69.24/32.08 | (472) $false
% 69.24/32.08 |
% 69.24/32.08 |-The branch is then unsatisfiable
% 69.24/32.08 |-Branch two:
% 69.24/32.08 | (533) all_8_1_15 = 0
% 69.24/32.08 | (545) all_8_0_14 = 0
% 69.24/32.08 |
% 69.24/32.08 | From (545) and (187) follows:
% 69.24/32.08 | (546) ssList(all_0_4_4) = 0
% 69.24/32.08 |
% 69.24/32.08 +-Applying beta-rule and splitting (263), into two cases.
% 69.24/32.08 |-Branch one:
% 69.24/32.08 | (581) ~ (all_46_1_57 = 0)
% 69.24/32.08 |
% 69.24/32.08 | Equations (322) can reduce 581 to:
% 69.24/32.08 | (472) $false
% 69.24/32.08 |
% 69.24/32.08 |-The branch is then unsatisfiable
% 69.24/32.08 |-Branch two:
% 69.24/32.08 | (322) all_46_1_57 = 0
% 69.24/32.08 | (584) all_46_0_56 = nil
% 69.24/32.08 |
% 69.24/32.08 | From (584) and (261) follows:
% 69.24/32.08 | (585) tl(all_0_9_9) = nil
% 69.24/32.08 |
% 69.24/32.08 +-Applying beta-rule and splitting (182), into two cases.
% 69.24/32.08 |-Branch one:
% 69.24/32.08 | (547) ~ (ssList(all_0_4_4) = 0)
% 69.24/32.08 |
% 69.24/32.08 | Using (546) and (547) yields:
% 69.24/32.08 | (538) $false
% 69.24/32.08 |
% 69.24/32.08 |-The branch is then unsatisfiable
% 69.24/32.08 |-Branch two:
% 69.24/32.08 | (546) ssList(all_0_4_4) = 0
% 69.24/32.08 | (550) ? [v0] : ? [v1] : (ssList(all_0_3_3) = v1 & ssList(all_0_7_7) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating (550) with all_172_0_64, all_172_1_65 yields:
% 69.24/32.08 | (590) ssList(all_0_3_3) = all_172_0_64 & ssList(all_0_7_7) = all_172_1_65 & ( ~ (all_172_1_65 = 0) | all_172_0_64 = 0)
% 69.24/32.08 |
% 69.24/32.08 | Applying alpha-rule on (590) yields:
% 69.24/32.08 | (591) ssList(all_0_3_3) = all_172_0_64
% 69.24/32.08 | (592) ssList(all_0_7_7) = all_172_1_65
% 69.24/32.08 | (593) ~ (all_172_1_65 = 0) | all_172_0_64 = 0
% 69.24/32.08 |
% 69.24/32.08 | From (540) and (592) follows:
% 69.24/32.08 | (594) ssList(all_0_9_9) = all_172_1_65
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_3_3, all_172_0_64, 0 and discharging atoms ssList(all_0_3_3) = all_172_0_64, yields:
% 69.24/32.08 | (595) all_172_0_64 = 0 | ~ (ssList(all_0_3_3) = 0)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_5_5, all_172_0_64, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 69.24/32.08 | (596) all_172_0_64 = 0 | ~ (ssList(all_0_5_5) = all_172_0_64)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_11_11, all_172_0_64, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.24/32.08 | (597) all_172_0_64 = 0 | ~ (ssList(all_0_11_11) = all_172_0_64)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_12_12, all_172_0_64, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.24/32.08 | (598) all_172_0_64 = 0 | ~ (ssList(all_0_12_12) = all_172_0_64)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with nil, all_172_0_64, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.08 | (599) all_172_0_64 = 0 | ~ (ssList(nil) = all_172_0_64)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_4_4, 0, all_172_0_64 and discharging atoms ssList(all_0_4_4) = 0, yields:
% 69.24/32.08 | (600) all_172_0_64 = 0 | ~ (ssList(all_0_4_4) = all_172_0_64)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_9_9, all_172_1_65, 0 and discharging atoms ssList(all_0_9_9) = all_172_1_65, ssList(all_0_9_9) = 0, yields:
% 69.24/32.08 | (601) all_172_1_65 = 0
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_11_11, all_172_1_65, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.24/32.08 | (602) all_172_1_65 = 0 | ~ (ssList(all_0_11_11) = all_172_1_65)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_12_12, all_172_1_65, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.24/32.08 | (603) all_172_1_65 = 0 | ~ (ssList(all_0_12_12) = all_172_1_65)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with nil, all_172_1_65, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.08 | (604) all_172_1_65 = 0 | ~ (ssList(nil) = all_172_1_65)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_9_9, all_172_1_65, all_172_0_64 and discharging atoms ssList(all_0_9_9) = all_172_1_65, yields:
% 69.24/32.08 | (605) all_172_0_64 = all_172_1_65 | ~ (ssList(all_0_9_9) = all_172_0_64)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_11_11, all_10_2_18, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.24/32.08 | (606) all_10_2_18 = 0 | ~ (ssList(all_0_11_11) = all_10_2_18)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_12_12, all_10_2_18, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.24/32.08 | (607) all_10_2_18 = 0 | ~ (ssList(all_0_12_12) = all_10_2_18)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with nil, all_10_2_18, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.08 | (608) all_10_2_18 = 0 | ~ (ssList(nil) = all_10_2_18)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_9_9, all_10_2_18, all_172_0_64 and discharging atoms ssList(all_0_9_9) = all_10_2_18, yields:
% 69.24/32.08 | (609) all_172_0_64 = all_10_2_18 | ~ (ssList(all_0_9_9) = all_172_0_64)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_9_9, all_10_2_18, all_172_1_65 and discharging atoms ssList(all_0_9_9) = all_172_1_65, ssList(all_0_9_9) = all_10_2_18, yields:
% 69.24/32.08 | (610) all_172_1_65 = all_10_2_18
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (14) with all_0_9_9, 0, all_172_0_64 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 69.24/32.08 | (611) all_172_0_64 = 0 | ~ (ssList(all_0_9_9) = all_172_0_64)
% 69.24/32.08 |
% 69.24/32.08 | Using (137) and (527) yields:
% 69.24/32.08 | (612) ~ (all_0_9_9 = nil)
% 69.24/32.08 |
% 69.24/32.08 | Combining equations (610,601) yields a new equation:
% 69.24/32.08 | (558) all_10_2_18 = 0
% 69.24/32.08 |
% 69.24/32.08 | Simplifying 558 yields:
% 69.24/32.08 | (559) all_10_2_18 = 0
% 69.24/32.08 |
% 69.24/32.08 | From (559) and (536) follows:
% 69.24/32.08 | (541) ssList(all_0_9_9) = 0
% 69.24/32.08 |
% 69.24/32.08 +-Applying beta-rule and splitting (593), into two cases.
% 69.24/32.08 |-Branch one:
% 69.24/32.08 | (616) ~ (all_172_1_65 = 0)
% 69.24/32.08 |
% 69.24/32.08 | Equations (601) can reduce 616 to:
% 69.24/32.08 | (472) $false
% 69.24/32.08 |
% 69.24/32.08 |-The branch is then unsatisfiable
% 69.24/32.08 |-Branch two:
% 69.24/32.08 | (601) all_172_1_65 = 0
% 69.24/32.08 | (619) all_172_0_64 = 0
% 69.24/32.08 |
% 69.24/32.08 | From (619) and (591) follows:
% 69.24/32.08 | (620) ssList(all_0_3_3) = 0
% 69.24/32.08 |
% 69.24/32.08 +-Applying beta-rule and splitting (565), into two cases.
% 69.24/32.08 |-Branch one:
% 69.24/32.08 | (535) ~ (all_10_2_18 = 0)
% 69.24/32.08 |
% 69.24/32.08 | Equations (559) can reduce 535 to:
% 69.24/32.08 | (472) $false
% 69.24/32.08 |
% 69.24/32.08 |-The branch is then unsatisfiable
% 69.24/32.08 |-Branch two:
% 69.24/32.08 | (559) all_10_2_18 = 0
% 69.24/32.08 | (624) all_10_0_16 = all_0_3_3
% 69.24/32.08 |
% 69.24/32.08 | From (624) and (563) follows:
% 69.24/32.08 | (625) app(all_0_5_5, all_10_1_17) = all_0_3_3
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (16) with nil, all_0_9_9 and discharging atoms tl(all_0_9_9) = nil, yields:
% 69.24/32.08 | (626) ? [v0] : ? [v1] : (hd(all_0_9_9) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | ! [v2] : (v2 = all_0_9_9 | v2 = nil | all_0_9_9 = nil | ~ (tl(v2) = nil) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssList(v2) = v3 & ( ~ (v4 = v1) | ~ (v3 = 0))))))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (113) with all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 69.24/32.08 | (627) all_0_9_9 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_9_9 & ssItem(v1) = 0)
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (6) with nil, all_23_2_33, nil, all_0_3_3, all_0_2_2 and discharging atoms ssList(all_0_2_2) = 0, yields:
% 69.24/32.08 | (628) ~ (cons(all_23_2_33, nil) = nil) | ~ (app(all_0_3_3, all_0_2_2) = nil) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_3_3) = v0) | (cons(all_23_2_33, all_0_3_3) = v1 & app(v1, all_0_2_2) = v2 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v2 = nil)))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (152) with all_0_12_12, all_23_2_33, nil and discharging atoms ssList(nil) = 0, cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.08 | (629) ? [v0] : ? [v1] : (tl(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (131) with all_0_12_12, all_23_2_33, nil and discharging atoms ssList(nil) = 0, cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.08 | (630) ? [v0] : ? [v1] : (hd(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = all_23_2_33))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (152) with nil, all_23_2_33, nil and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.08 | (631) ~ (cons(all_23_2_33, nil) = nil) | ? [v0] : ? [v1] : (tl(nil) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (131) with nil, all_23_2_33, nil and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.08 | (632) ~ (cons(all_23_2_33, nil) = nil) | ? [v0] : ? [v1] : (hd(nil) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = all_23_2_33))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (105) with all_23_2_33, all_0_13_13, nil and discharging atoms singletonP(nil) = all_0_13_13, yields:
% 69.24/32.08 | (633) all_0_13_13 = 0 | ~ (cons(all_23_2_33, nil) = nil) | ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_23_2_33) = v0))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (88) with all_0_12_12, all_23_2_33 and discharging atoms cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.08 | (634) ? [v0] : ? [v1] : (equalelemsP(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (82) with all_0_12_12, all_23_2_33 and discharging atoms cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.08 | (635) ? [v0] : ? [v1] : (duplicatefreeP(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (38) with all_0_12_12, all_23_2_33 and discharging atoms cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.08 | (636) ? [v0] : ? [v1] : (strictorderedP(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (76) with all_0_12_12, all_23_2_33 and discharging atoms cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.08 | (637) ? [v0] : ? [v1] : (totalorderedP(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (119) with all_0_12_12, all_23_2_33 and discharging atoms cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.08 | (638) ? [v0] : ? [v1] : (strictorderP(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.08 |
% 69.24/32.08 | Instantiating formula (129) with all_0_12_12, all_23_2_33 and discharging atoms cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.09 | (639) ? [v0] : ? [v1] : (totalorderP(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (33) with all_0_12_12, all_23_2_33 and discharging atoms cons(all_23_2_33, nil) = all_0_12_12, yields:
% 69.24/32.09 | (640) ? [v0] : ? [v1] : (cyclefreeP(all_0_12_12) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (99) with all_23_2_33, nil and discharging atoms ssList(nil) = 0, yields:
% 69.24/32.09 | (641) ~ (cons(all_23_2_33, nil) = nil) | ? [v0] : ( ~ (v0 = 0) & ssItem(all_23_2_33) = v0)
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (62) with all_0_12_12, all_0_2_2, all_0_3_3, all_0_9_9, all_0_4_4 and discharging atoms ssList(all_0_4_4) = 0, app(all_0_3_3, all_0_2_2) = all_0_12_12, app(all_0_4_4, all_0_9_9) = all_0_3_3, yields:
% 69.24/32.09 | (642) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (ssList(all_0_2_2) = v0 & app(all_0_4_4, v1) = v2 & app(all_0_9_9, all_0_2_2) = v1 & ( ~ (v0 = 0) | v2 = all_0_12_12)))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (87) with all_0_3_3, all_10_1_17, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, app(all_0_5_5, all_10_1_17) = all_0_3_3, yields:
% 69.24/32.09 | (643) ? [v0] : ? [v1] : (ssList(all_10_1_17) = v0 & ssList(all_0_3_3) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (62) with all_0_12_12, all_0_2_2, all_0_3_3, all_10_1_17, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, app(all_0_3_3, all_0_2_2) = all_0_12_12, app(all_0_5_5, all_10_1_17) = all_0_3_3, yields:
% 69.24/32.09 | (644) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_10_1_17) = v0) | (ssList(all_0_2_2) = v0 & app(all_10_1_17, all_0_2_2) = v1 & app(all_0_5_5, v1) = v2 & ( ~ (v0 = 0) | v2 = all_0_12_12)))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (116) with all_10_1_17, all_0_9_9, all_0_10_10, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, cons(all_0_10_10, nil) = all_0_9_9, app(all_0_9_9, all_0_9_9) = all_10_1_17, yields:
% 69.24/32.09 | (645) ? [v0] : ? [v1] : (cons(all_0_10_10, all_0_9_9) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_10_1_17))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (87) with all_10_1_17, all_0_9_9, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, app(all_0_9_9, all_0_9_9) = all_10_1_17, yields:
% 69.24/32.09 | (646) ? [v0] : ? [v1] : (ssList(all_10_1_17) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (36) with all_10_1_17, all_0_9_9, all_0_10_10, all_0_9_9 and discharging atoms hd(all_0_9_9) = all_0_10_10, app(all_0_9_9, all_0_9_9) = all_10_1_17, yields:
% 69.24/32.09 | (647) all_0_9_9 = nil | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (hd(all_10_1_17) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10)))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating formula (142) with all_0_9_9, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 69.24/32.09 | (648) all_0_9_9 = nil | ~ (app(all_0_9_9, all_0_9_9) = nil) | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0)
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (646) with all_199_0_66, all_199_1_67 yields:
% 69.24/32.09 | (649) ssList(all_10_1_17) = all_199_0_66 & ssList(all_0_9_9) = all_199_1_67 & ( ~ (all_199_1_67 = 0) | all_199_0_66 = 0)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (649) yields:
% 69.24/32.09 | (650) ssList(all_10_1_17) = all_199_0_66
% 69.24/32.09 | (651) ssList(all_0_9_9) = all_199_1_67
% 69.24/32.09 | (652) ~ (all_199_1_67 = 0) | all_199_0_66 = 0
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (645) with all_201_0_68, all_201_1_69 yields:
% 69.24/32.09 | (653) cons(all_0_10_10, all_0_9_9) = all_201_0_68 & ssItem(all_0_10_10) = all_201_1_69 & ( ~ (all_201_1_69 = 0) | all_201_0_68 = all_10_1_17)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (653) yields:
% 69.24/32.09 | (654) cons(all_0_10_10, all_0_9_9) = all_201_0_68
% 69.24/32.09 | (655) ssItem(all_0_10_10) = all_201_1_69
% 69.24/32.09 | (656) ~ (all_201_1_69 = 0) | all_201_0_68 = all_10_1_17
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (644) with all_203_0_70, all_203_1_71, all_203_2_72 yields:
% 69.24/32.09 | (657) ( ~ (all_203_2_72 = 0) & ssList(all_10_1_17) = all_203_2_72) | (ssList(all_0_2_2) = all_203_2_72 & app(all_10_1_17, all_0_2_2) = all_203_1_71 & app(all_0_5_5, all_203_1_71) = all_203_0_70 & ( ~ (all_203_2_72 = 0) | all_203_0_70 = all_0_12_12))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (640) with all_204_0_73, all_204_1_74 yields:
% 69.24/32.09 | (658) cyclefreeP(all_0_12_12) = all_204_0_73 & ssItem(all_23_2_33) = all_204_1_74 & ( ~ (all_204_1_74 = 0) | all_204_0_73 = 0)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (658) yields:
% 69.24/32.09 | (659) cyclefreeP(all_0_12_12) = all_204_0_73
% 69.24/32.09 | (660) ssItem(all_23_2_33) = all_204_1_74
% 69.24/32.09 | (661) ~ (all_204_1_74 = 0) | all_204_0_73 = 0
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (634) with all_206_0_75, all_206_1_76 yields:
% 69.24/32.09 | (662) equalelemsP(all_0_12_12) = all_206_0_75 & ssItem(all_23_2_33) = all_206_1_76 & ( ~ (all_206_1_76 = 0) | all_206_0_75 = 0)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (662) yields:
% 69.24/32.09 | (663) equalelemsP(all_0_12_12) = all_206_0_75
% 69.24/32.09 | (664) ssItem(all_23_2_33) = all_206_1_76
% 69.24/32.09 | (665) ~ (all_206_1_76 = 0) | all_206_0_75 = 0
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (639) with all_208_0_77, all_208_1_78 yields:
% 69.24/32.09 | (666) totalorderP(all_0_12_12) = all_208_0_77 & ssItem(all_23_2_33) = all_208_1_78 & ( ~ (all_208_1_78 = 0) | all_208_0_77 = 0)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (666) yields:
% 69.24/32.09 | (667) totalorderP(all_0_12_12) = all_208_0_77
% 69.24/32.09 | (668) ssItem(all_23_2_33) = all_208_1_78
% 69.24/32.09 | (669) ~ (all_208_1_78 = 0) | all_208_0_77 = 0
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (630) with all_210_0_79, all_210_1_80 yields:
% 69.24/32.09 | (670) hd(all_0_12_12) = all_210_0_79 & ssItem(all_23_2_33) = all_210_1_80 & ( ~ (all_210_1_80 = 0) | all_210_0_79 = all_23_2_33)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (670) yields:
% 69.24/32.09 | (671) hd(all_0_12_12) = all_210_0_79
% 69.24/32.09 | (672) ssItem(all_23_2_33) = all_210_1_80
% 69.24/32.09 | (673) ~ (all_210_1_80 = 0) | all_210_0_79 = all_23_2_33
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (629) with all_212_0_81, all_212_1_82 yields:
% 69.24/32.09 | (674) tl(all_0_12_12) = all_212_0_81 & ssItem(all_23_2_33) = all_212_1_82 & ( ~ (all_212_1_82 = 0) | all_212_0_81 = nil)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (674) yields:
% 69.24/32.09 | (675) tl(all_0_12_12) = all_212_0_81
% 69.24/32.09 | (676) ssItem(all_23_2_33) = all_212_1_82
% 69.24/32.09 | (677) ~ (all_212_1_82 = 0) | all_212_0_81 = nil
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (626) with all_214_0_83, all_214_1_84 yields:
% 69.24/32.09 | (678) hd(all_0_9_9) = all_214_0_83 & ssList(all_0_9_9) = all_214_1_84 & ( ~ (all_214_1_84 = 0) | ! [v0] : (v0 = all_0_9_9 | v0 = nil | all_0_9_9 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_214_0_83) | ~ (v1 = 0)))))
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (678) yields:
% 69.24/32.09 | (679) hd(all_0_9_9) = all_214_0_83
% 69.24/32.09 | (680) ssList(all_0_9_9) = all_214_1_84
% 69.24/32.09 | (681) ~ (all_214_1_84 = 0) | ! [v0] : (v0 = all_0_9_9 | v0 = nil | all_0_9_9 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_214_0_83) | ~ (v1 = 0))))
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (638) with all_216_0_85, all_216_1_86 yields:
% 69.24/32.09 | (682) strictorderP(all_0_12_12) = all_216_0_85 & ssItem(all_23_2_33) = all_216_1_86 & ( ~ (all_216_1_86 = 0) | all_216_0_85 = 0)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (682) yields:
% 69.24/32.09 | (683) strictorderP(all_0_12_12) = all_216_0_85
% 69.24/32.09 | (684) ssItem(all_23_2_33) = all_216_1_86
% 69.24/32.09 | (685) ~ (all_216_1_86 = 0) | all_216_0_85 = 0
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (636) with all_218_0_87, all_218_1_88 yields:
% 69.24/32.09 | (686) strictorderedP(all_0_12_12) = all_218_0_87 & ssItem(all_23_2_33) = all_218_1_88 & ( ~ (all_218_1_88 = 0) | all_218_0_87 = 0)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (686) yields:
% 69.24/32.09 | (687) strictorderedP(all_0_12_12) = all_218_0_87
% 69.24/32.09 | (688) ssItem(all_23_2_33) = all_218_1_88
% 69.24/32.09 | (689) ~ (all_218_1_88 = 0) | all_218_0_87 = 0
% 69.24/32.09 |
% 69.24/32.09 | Instantiating (635) with all_220_0_89, all_220_1_90 yields:
% 69.24/32.09 | (690) duplicatefreeP(all_0_12_12) = all_220_0_89 & ssItem(all_23_2_33) = all_220_1_90 & ( ~ (all_220_1_90 = 0) | all_220_0_89 = 0)
% 69.24/32.09 |
% 69.24/32.09 | Applying alpha-rule on (690) yields:
% 69.24/32.09 | (691) duplicatefreeP(all_0_12_12) = all_220_0_89
% 69.65/32.09 | (692) ssItem(all_23_2_33) = all_220_1_90
% 69.65/32.09 | (693) ~ (all_220_1_90 = 0) | all_220_0_89 = 0
% 69.65/32.09 |
% 69.65/32.09 | Instantiating (643) with all_222_0_91, all_222_1_92 yields:
% 69.65/32.09 | (694) ssList(all_10_1_17) = all_222_1_92 & ssList(all_0_3_3) = all_222_0_91 & ( ~ (all_222_1_92 = 0) | all_222_0_91 = 0)
% 69.65/32.09 |
% 69.65/32.09 | Applying alpha-rule on (694) yields:
% 69.65/32.09 | (695) ssList(all_10_1_17) = all_222_1_92
% 69.65/32.09 | (696) ssList(all_0_3_3) = all_222_0_91
% 69.65/32.09 | (697) ~ (all_222_1_92 = 0) | all_222_0_91 = 0
% 69.65/32.09 |
% 69.65/32.09 | Instantiating (642) with all_224_0_93, all_224_1_94, all_224_2_95 yields:
% 69.65/32.09 | (698) ( ~ (all_224_2_95 = 0) & ssList(all_0_9_9) = all_224_2_95) | (ssList(all_0_2_2) = all_224_2_95 & app(all_0_4_4, all_224_1_94) = all_224_0_93 & app(all_0_9_9, all_0_2_2) = all_224_1_94 & ( ~ (all_224_2_95 = 0) | all_224_0_93 = all_0_12_12))
% 69.65/32.10 |
% 69.65/32.10 | Instantiating (637) with all_225_0_96, all_225_1_97 yields:
% 69.65/32.10 | (699) totalorderedP(all_0_12_12) = all_225_0_96 & ssItem(all_23_2_33) = all_225_1_97 & ( ~ (all_225_1_97 = 0) | all_225_0_96 = 0)
% 69.65/32.10 |
% 69.65/32.10 | Applying alpha-rule on (699) yields:
% 69.65/32.10 | (700) totalorderedP(all_0_12_12) = all_225_0_96
% 69.65/32.10 | (701) ssItem(all_23_2_33) = all_225_1_97
% 69.65/32.10 | (702) ~ (all_225_1_97 = 0) | all_225_0_96 = 0
% 69.65/32.10 |
% 69.65/32.10 +-Applying beta-rule and splitting (647), into two cases.
% 69.65/32.10 |-Branch one:
% 69.65/32.10 | (703) all_0_9_9 = nil
% 69.65/32.10 |
% 69.65/32.10 | Equations (703) can reduce 612 to:
% 69.65/32.10 | (472) $false
% 69.65/32.10 |
% 69.65/32.10 |-The branch is then unsatisfiable
% 69.65/32.10 |-Branch two:
% 69.65/32.10 | (612) ~ (all_0_9_9 = nil)
% 69.65/32.10 | (706) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (hd(all_10_1_17) = v1 & ssList(all_0_9_9) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10)))
% 69.65/32.10 |
% 69.65/32.10 | Instantiating (706) with all_234_0_98, all_234_1_99 yields:
% 69.65/32.10 | (707) ( ~ (all_234_1_99 = 0) & ssList(all_0_9_9) = all_234_1_99) | (hd(all_10_1_17) = all_234_0_98 & ssList(all_0_9_9) = all_234_1_99 & ( ~ (all_234_1_99 = 0) | all_234_0_98 = all_0_10_10))
% 69.65/32.10 |
% 69.65/32.10 +-Applying beta-rule and splitting (627), into two cases.
% 69.65/32.10 |-Branch one:
% 69.65/32.10 | (703) all_0_9_9 = nil
% 69.65/32.10 |
% 69.65/32.10 | Equations (703) can reduce 612 to:
% 69.65/32.10 | (472) $false
% 69.65/32.10 |
% 69.65/32.10 |-The branch is then unsatisfiable
% 69.65/32.10 |-Branch two:
% 69.65/32.10 | (612) ~ (all_0_9_9 = nil)
% 69.65/32.10 | (711) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_9_9 & ssItem(v1) = 0)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating (711) with all_239_0_100, all_239_1_101 yields:
% 69.65/32.10 | (712) ssList(all_239_1_101) = 0 & cons(all_239_0_100, all_239_1_101) = all_0_9_9 & ssItem(all_239_0_100) = 0
% 69.65/32.10 |
% 69.65/32.10 | Applying alpha-rule on (712) yields:
% 69.65/32.10 | (713) ssList(all_239_1_101) = 0
% 69.65/32.10 | (714) cons(all_239_0_100, all_239_1_101) = all_0_9_9
% 69.65/32.10 | (715) ssItem(all_239_0_100) = 0
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (146) with all_0_9_9, all_214_0_83, all_0_10_10 and discharging atoms hd(all_0_9_9) = all_214_0_83, hd(all_0_9_9) = all_0_10_10, yields:
% 69.65/32.10 | (716) all_214_0_83 = all_0_10_10
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (67) with all_0_12_12, all_220_0_89, 0 and discharging atoms duplicatefreeP(all_0_12_12) = all_220_0_89, yields:
% 69.65/32.10 | (717) all_220_0_89 = 0 | ~ (duplicatefreeP(all_0_12_12) = 0)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_2_2, all_222_1_92, 0 and discharging atoms ssList(all_0_2_2) = 0, yields:
% 69.65/32.10 | (718) all_222_1_92 = 0 | ~ (ssList(all_0_2_2) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_3_3, all_222_1_92, 0 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 69.65/32.10 | (719) all_222_1_92 = 0 | ~ (ssList(all_0_3_3) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_4_4, all_222_1_92, 0 and discharging atoms ssList(all_0_4_4) = 0, yields:
% 69.65/32.10 | (720) all_222_1_92 = 0 | ~ (ssList(all_0_4_4) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_5_5, all_222_1_92, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 69.65/32.10 | (721) all_222_1_92 = 0 | ~ (ssList(all_0_5_5) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_222_1_92, 0 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 69.65/32.10 | (722) all_222_1_92 = 0 | ~ (ssList(all_0_9_9) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_11_11, all_222_1_92, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.65/32.10 | (723) all_222_1_92 = 0 | ~ (ssList(all_0_11_11) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_12_12, all_222_1_92, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.65/32.10 | (724) all_222_1_92 = 0 | ~ (ssList(all_0_12_12) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with nil, all_222_1_92, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.65/32.10 | (725) all_222_1_92 = 0 | ~ (ssList(nil) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_10_1_17, all_222_1_92, 0 and discharging atoms ssList(all_10_1_17) = all_222_1_92, yields:
% 69.65/32.10 | (726) all_222_1_92 = 0 | ~ (ssList(all_10_1_17) = 0)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_2_2, all_199_0_66, 0 and discharging atoms ssList(all_0_2_2) = 0, yields:
% 69.65/32.10 | (727) all_199_0_66 = 0 | ~ (ssList(all_0_2_2) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_3_3, all_199_0_66, 0 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 69.65/32.10 | (728) all_199_0_66 = 0 | ~ (ssList(all_0_3_3) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_4_4, all_199_0_66, 0 and discharging atoms ssList(all_0_4_4) = 0, yields:
% 69.65/32.10 | (729) all_199_0_66 = 0 | ~ (ssList(all_0_4_4) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_5_5, all_199_0_66, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 69.65/32.10 | (730) all_199_0_66 = 0 | ~ (ssList(all_0_5_5) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_199_0_66, 0 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 69.65/32.10 | (731) all_199_0_66 = 0 | ~ (ssList(all_0_9_9) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_11_11, all_199_0_66, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.65/32.10 | (732) all_199_0_66 = 0 | ~ (ssList(all_0_11_11) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_12_12, all_199_0_66, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.65/32.10 | (733) all_199_0_66 = 0 | ~ (ssList(all_0_12_12) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with nil, all_199_0_66, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.65/32.10 | (734) all_199_0_66 = 0 | ~ (ssList(nil) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_10_1_17, all_199_0_66, 0 and discharging atoms ssList(all_10_1_17) = all_199_0_66, yields:
% 69.65/32.10 | (735) all_199_0_66 = 0 | ~ (ssList(all_10_1_17) = 0)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_10_1_17, all_199_0_66, all_222_1_92 and discharging atoms ssList(all_10_1_17) = all_222_1_92, ssList(all_10_1_17) = all_199_0_66, yields:
% 69.65/32.10 | (736) all_222_1_92 = all_199_0_66
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_3_3, all_222_0_91, 0 and discharging atoms ssList(all_0_3_3) = all_222_0_91, ssList(all_0_3_3) = 0, yields:
% 69.65/32.10 | (737) all_222_0_91 = 0
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_4_4, all_222_0_91, 0 and discharging atoms ssList(all_0_4_4) = 0, yields:
% 69.65/32.10 | (738) all_222_0_91 = 0 | ~ (ssList(all_0_4_4) = all_222_0_91)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_5_5, all_222_0_91, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 69.65/32.10 | (739) all_222_0_91 = 0 | ~ (ssList(all_0_5_5) = all_222_0_91)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_222_0_91, 0 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 69.65/32.10 | (740) all_222_0_91 = 0 | ~ (ssList(all_0_9_9) = all_222_0_91)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_11_11, all_222_0_91, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.65/32.10 | (741) all_222_0_91 = 0 | ~ (ssList(all_0_11_11) = all_222_0_91)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_12_12, all_222_0_91, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.65/32.10 | (742) all_222_0_91 = 0 | ~ (ssList(all_0_12_12) = all_222_0_91)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with nil, all_222_0_91, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.65/32.10 | (743) all_222_0_91 = 0 | ~ (ssList(nil) = all_222_0_91)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_3_3, all_222_0_91, all_222_1_92 and discharging atoms ssList(all_0_3_3) = all_222_0_91, yields:
% 69.65/32.10 | (744) all_222_0_91 = all_222_1_92 | ~ (ssList(all_0_3_3) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_3_3, all_222_0_91, all_199_0_66 and discharging atoms ssList(all_0_3_3) = all_222_0_91, yields:
% 69.65/32.10 | (745) all_222_0_91 = all_199_0_66 | ~ (ssList(all_0_3_3) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_214_1_84, 0 and discharging atoms ssList(all_0_9_9) = all_214_1_84, ssList(all_0_9_9) = 0, yields:
% 69.65/32.10 | (746) all_214_1_84 = 0
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_11_11, all_214_1_84, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.65/32.10 | (747) all_214_1_84 = 0 | ~ (ssList(all_0_11_11) = all_214_1_84)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_12_12, all_214_1_84, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.65/32.10 | (748) all_214_1_84 = 0 | ~ (ssList(all_0_12_12) = all_214_1_84)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_214_1_84, all_222_1_92 and discharging atoms ssList(all_0_9_9) = all_214_1_84, yields:
% 69.65/32.10 | (749) all_222_1_92 = all_214_1_84 | ~ (ssList(all_0_9_9) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_214_1_84, all_199_0_66 and discharging atoms ssList(all_0_9_9) = all_214_1_84, yields:
% 69.65/32.10 | (750) all_214_1_84 = all_199_0_66 | ~ (ssList(all_0_9_9) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_214_1_84, all_222_0_91 and discharging atoms ssList(all_0_9_9) = all_214_1_84, yields:
% 69.65/32.10 | (751) all_222_0_91 = all_214_1_84 | ~ (ssList(all_0_9_9) = all_222_0_91)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_11_11, all_199_1_67, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.65/32.10 | (752) all_199_1_67 = 0 | ~ (ssList(all_0_11_11) = all_199_1_67)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_12_12, all_199_1_67, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.65/32.10 | (753) all_199_1_67 = 0 | ~ (ssList(all_0_12_12) = all_199_1_67)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_199_1_67, all_222_1_92 and discharging atoms ssList(all_0_9_9) = all_199_1_67, yields:
% 69.65/32.10 | (754) all_222_1_92 = all_199_1_67 | ~ (ssList(all_0_9_9) = all_222_1_92)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_199_1_67, all_199_0_66 and discharging atoms ssList(all_0_9_9) = all_199_1_67, yields:
% 69.65/32.10 | (755) all_199_0_66 = all_199_1_67 | ~ (ssList(all_0_9_9) = all_199_0_66)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_199_1_67, all_222_0_91 and discharging atoms ssList(all_0_9_9) = all_199_1_67, yields:
% 69.65/32.10 | (756) all_222_0_91 = all_199_1_67 | ~ (ssList(all_0_9_9) = all_222_0_91)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (14) with all_0_9_9, all_199_1_67, all_214_1_84 and discharging atoms ssList(all_0_9_9) = all_214_1_84, ssList(all_0_9_9) = all_199_1_67, yields:
% 69.65/32.10 | (757) all_214_1_84 = all_199_1_67
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (79) with all_0_0_0, all_225_1_97, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 69.65/32.10 | (758) all_225_1_97 = 0 | ~ (ssItem(all_0_0_0) = all_225_1_97)
% 69.65/32.10 |
% 69.65/32.10 | Instantiating formula (79) with all_0_1_1, all_225_1_97, 0 and discharging atoms ssItem(all_0_1_1) = 0, yields:
% 69.65/32.10 | (759) all_225_1_97 = 0 | ~ (ssItem(all_0_1_1) = all_225_1_97)
% 69.65/32.10 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_225_1_97, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (760) all_225_1_97 = 0 | ~ (ssItem(all_0_10_10) = all_225_1_97)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_0_0, all_220_1_90, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 69.65/32.11 | (761) all_220_1_90 = 0 | ~ (ssItem(all_0_0_0) = all_220_1_90)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_1_1, all_220_1_90, 0 and discharging atoms ssItem(all_0_1_1) = 0, yields:
% 69.65/32.11 | (762) all_220_1_90 = 0 | ~ (ssItem(all_0_1_1) = all_220_1_90)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_220_1_90, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (763) all_220_1_90 = 0 | ~ (ssItem(all_0_10_10) = all_220_1_90)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_218_1_88, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (764) all_218_1_88 = 0 | ~ (ssItem(all_0_10_10) = all_218_1_88)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_218_1_88, all_225_1_97 and discharging atoms ssItem(all_23_2_33) = all_225_1_97, ssItem(all_23_2_33) = all_218_1_88, yields:
% 69.65/32.11 | (765) all_225_1_97 = all_218_1_88
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_218_1_88, all_220_1_90 and discharging atoms ssItem(all_23_2_33) = all_220_1_90, ssItem(all_23_2_33) = all_218_1_88, yields:
% 69.65/32.11 | (766) all_220_1_90 = all_218_1_88
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_0_0, all_216_1_86, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 69.65/32.11 | (767) all_216_1_86 = 0 | ~ (ssItem(all_0_0_0) = all_216_1_86)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_1_1, all_216_1_86, 0 and discharging atoms ssItem(all_0_1_1) = 0, yields:
% 69.65/32.11 | (768) all_216_1_86 = 0 | ~ (ssItem(all_0_1_1) = all_216_1_86)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_216_1_86, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (769) all_216_1_86 = 0 | ~ (ssItem(all_0_10_10) = all_216_1_86)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_216_1_86, all_225_1_97 and discharging atoms ssItem(all_23_2_33) = all_225_1_97, ssItem(all_23_2_33) = all_216_1_86, yields:
% 69.65/32.11 | (770) all_225_1_97 = all_216_1_86
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_0_0, all_212_1_82, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 69.65/32.11 | (771) all_212_1_82 = 0 | ~ (ssItem(all_0_0_0) = all_212_1_82)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_212_1_82, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (772) all_212_1_82 = 0 | ~ (ssItem(all_0_10_10) = all_212_1_82)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_212_1_82, all_225_1_97 and discharging atoms ssItem(all_23_2_33) = all_225_1_97, ssItem(all_23_2_33) = all_212_1_82, yields:
% 69.65/32.11 | (773) all_225_1_97 = all_212_1_82
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_0_0, all_210_1_80, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 69.65/32.11 | (774) all_210_1_80 = 0 | ~ (ssItem(all_0_0_0) = all_210_1_80)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_1_1, all_210_1_80, 0 and discharging atoms ssItem(all_0_1_1) = 0, yields:
% 69.65/32.11 | (775) all_210_1_80 = 0 | ~ (ssItem(all_0_1_1) = all_210_1_80)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_210_1_80, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (776) all_210_1_80 = 0 | ~ (ssItem(all_0_10_10) = all_210_1_80)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_210_1_80, all_212_1_82 and discharging atoms ssItem(all_23_2_33) = all_212_1_82, ssItem(all_23_2_33) = all_210_1_80, yields:
% 69.65/32.11 | (777) all_212_1_82 = all_210_1_80
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_0_0, all_208_1_78, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 69.65/32.11 | (778) all_208_1_78 = 0 | ~ (ssItem(all_0_0_0) = all_208_1_78)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_1_1, all_208_1_78, 0 and discharging atoms ssItem(all_0_1_1) = 0, yields:
% 69.65/32.11 | (779) all_208_1_78 = 0 | ~ (ssItem(all_0_1_1) = all_208_1_78)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_208_1_78, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (780) all_208_1_78 = 0 | ~ (ssItem(all_0_10_10) = all_208_1_78)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_208_1_78, all_220_1_90 and discharging atoms ssItem(all_23_2_33) = all_220_1_90, ssItem(all_23_2_33) = all_208_1_78, yields:
% 69.65/32.11 | (781) all_220_1_90 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_206_1_76, 0 and discharging atoms ssItem(all_23_2_33) = all_206_1_76, ssItem(all_23_2_33) = 0, yields:
% 69.65/32.11 | (782) all_206_1_76 = 0
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_0_0, all_206_1_76, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 69.65/32.11 | (783) all_206_1_76 = 0 | ~ (ssItem(all_0_0_0) = all_206_1_76)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_206_1_76, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (784) all_206_1_76 = 0 | ~ (ssItem(all_0_10_10) = all_206_1_76)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_206_1_76, all_210_1_80 and discharging atoms ssItem(all_23_2_33) = all_210_1_80, ssItem(all_23_2_33) = all_206_1_76, yields:
% 69.65/32.11 | (785) all_210_1_80 = all_206_1_76
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_0_0, all_204_1_74, 0 and discharging atoms ssItem(all_0_0_0) = 0, yields:
% 69.65/32.11 | (786) all_204_1_74 = 0 | ~ (ssItem(all_0_0_0) = all_204_1_74)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_1_1, all_204_1_74, 0 and discharging atoms ssItem(all_0_1_1) = 0, yields:
% 69.65/32.11 | (787) all_204_1_74 = 0 | ~ (ssItem(all_0_1_1) = all_204_1_74)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_204_1_74, 0 and discharging atoms ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (788) all_204_1_74 = 0 | ~ (ssItem(all_0_10_10) = all_204_1_74)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_23_2_33, all_204_1_74, all_210_1_80 and discharging atoms ssItem(all_23_2_33) = all_210_1_80, ssItem(all_23_2_33) = all_204_1_74, yields:
% 69.65/32.11 | (789) all_210_1_80 = all_204_1_74
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, 0 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, ssItem(all_0_10_10) = 0, yields:
% 69.65/32.11 | (790) all_201_1_69 = 0
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_225_1_97 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (791) all_225_1_97 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_225_1_97)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_220_1_90 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (792) all_220_1_90 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_220_1_90)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_218_1_88 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (793) all_218_1_88 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_218_1_88)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_216_1_86 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (794) all_216_1_86 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_216_1_86)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_212_1_82 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (795) all_212_1_82 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_212_1_82)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_210_1_80 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (796) all_210_1_80 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_210_1_80)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_208_1_78 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (797) all_208_1_78 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_208_1_78)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_206_1_76 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (798) all_206_1_76 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_206_1_76)
% 69.65/32.11 |
% 69.65/32.11 | Instantiating formula (79) with all_0_10_10, all_201_1_69, all_204_1_74 and discharging atoms ssItem(all_0_10_10) = all_201_1_69, yields:
% 69.65/32.11 | (799) all_204_1_74 = all_201_1_69 | ~ (ssItem(all_0_10_10) = all_204_1_74)
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (765,770) yields a new equation:
% 69.65/32.11 | (800) all_218_1_88 = all_216_1_86
% 69.65/32.11 |
% 69.65/32.11 | Simplifying 800 yields:
% 69.65/32.11 | (801) all_218_1_88 = all_216_1_86
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (773,770) yields a new equation:
% 69.65/32.11 | (802) all_216_1_86 = all_212_1_82
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (766,781) yields a new equation:
% 69.65/32.11 | (803) all_218_1_88 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Simplifying 803 yields:
% 69.65/32.11 | (804) all_218_1_88 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (801,804) yields a new equation:
% 69.65/32.11 | (805) all_216_1_86 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Simplifying 805 yields:
% 69.65/32.11 | (806) all_216_1_86 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (802,806) yields a new equation:
% 69.65/32.11 | (807) all_212_1_82 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Simplifying 807 yields:
% 69.65/32.11 | (808) all_212_1_82 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (757,746) yields a new equation:
% 69.65/32.11 | (809) all_199_1_67 = 0
% 69.65/32.11 |
% 69.65/32.11 | Simplifying 809 yields:
% 69.65/32.11 | (810) all_199_1_67 = 0
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (777,808) yields a new equation:
% 69.65/32.11 | (811) all_210_1_80 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Simplifying 811 yields:
% 69.65/32.11 | (812) all_210_1_80 = all_208_1_78
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (789,812) yields a new equation:
% 69.65/32.11 | (813) all_208_1_78 = all_204_1_74
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (785,812) yields a new equation:
% 69.65/32.11 | (814) all_208_1_78 = all_206_1_76
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (814,813) yields a new equation:
% 69.65/32.11 | (815) all_206_1_76 = all_204_1_74
% 69.65/32.11 |
% 69.65/32.11 | Simplifying 815 yields:
% 69.65/32.11 | (816) all_206_1_76 = all_204_1_74
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (816,782) yields a new equation:
% 69.65/32.11 | (817) all_204_1_74 = 0
% 69.65/32.11 |
% 69.65/32.11 | Simplifying 817 yields:
% 69.65/32.11 | (818) all_204_1_74 = 0
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (818,813) yields a new equation:
% 69.65/32.11 | (819) all_208_1_78 = 0
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (819,812) yields a new equation:
% 69.65/32.11 | (820) all_210_1_80 = 0
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (819,808) yields a new equation:
% 69.65/32.11 | (821) all_212_1_82 = 0
% 69.65/32.11 |
% 69.65/32.11 | Combining equations (819,806) yields a new equation:
% 69.65/32.11 | (822) all_216_1_86 = 0
% 69.65/32.12 |
% 69.65/32.12 | Combining equations (819,804) yields a new equation:
% 69.65/32.12 | (823) all_218_1_88 = 0
% 69.65/32.12 |
% 69.65/32.12 | Combining equations (819,781) yields a new equation:
% 69.65/32.12 | (824) all_220_1_90 = 0
% 69.65/32.12 |
% 69.65/32.12 | Combining equations (822,770) yields a new equation:
% 69.65/32.12 | (825) all_225_1_97 = 0
% 69.65/32.12 |
% 69.65/32.12 | From (716) and (679) follows:
% 69.65/32.12 | (570) hd(all_0_9_9) = all_0_10_10
% 69.65/32.12 |
% 69.65/32.12 | From (736) and (695) follows:
% 69.65/32.12 | (650) ssList(all_10_1_17) = all_199_0_66
% 69.65/32.12 |
% 69.65/32.12 | From (737) and (696) follows:
% 69.65/32.12 | (620) ssList(all_0_3_3) = 0
% 69.65/32.12 |
% 69.65/32.12 | From (810) and (651) follows:
% 69.65/32.12 | (541) ssList(all_0_9_9) = 0
% 69.65/32.12 |
% 69.65/32.12 | From (818) and (660) follows:
% 69.65/32.12 | (276) ssItem(all_23_2_33) = 0
% 69.65/32.12 |
% 69.65/32.12 | From (790) and (655) follows:
% 69.65/32.12 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (693), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (832) ~ (all_220_1_90 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (824) can reduce 832 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (824) all_220_1_90 = 0
% 69.65/32.12 | (835) all_220_0_89 = 0
% 69.65/32.12 |
% 69.65/32.12 | From (835) and (691) follows:
% 69.65/32.12 | (836) duplicatefreeP(all_0_12_12) = 0
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (665), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (837) ~ (all_206_1_76 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (782) can reduce 837 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (782) all_206_1_76 = 0
% 69.65/32.12 | (840) all_206_0_75 = 0
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (669), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (841) ~ (all_208_1_78 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (819) can reduce 841 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (819) all_208_1_78 = 0
% 69.65/32.12 | (844) all_208_0_77 = 0
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (656), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (845) ~ (all_201_1_69 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (790) can reduce 845 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (790) all_201_1_69 = 0
% 69.65/32.12 | (848) all_201_0_68 = all_10_1_17
% 69.65/32.12 |
% 69.65/32.12 | From (848) and (654) follows:
% 69.65/32.12 | (849) cons(all_0_10_10, all_0_9_9) = all_10_1_17
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (707), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (850) ~ (all_234_1_99 = 0) & ssList(all_0_9_9) = all_234_1_99
% 69.65/32.12 |
% 69.65/32.12 | Applying alpha-rule on (850) yields:
% 69.65/32.12 | (851) ~ (all_234_1_99 = 0)
% 69.65/32.12 | (852) ssList(all_0_9_9) = all_234_1_99
% 69.65/32.12 |
% 69.65/32.12 | Instantiating formula (14) with all_0_9_9, all_234_1_99, 0 and discharging atoms ssList(all_0_9_9) = all_234_1_99, ssList(all_0_9_9) = 0, yields:
% 69.65/32.12 | (853) all_234_1_99 = 0
% 69.65/32.12 |
% 69.65/32.12 | Equations (853) can reduce 851 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (855) hd(all_10_1_17) = all_234_0_98 & ssList(all_0_9_9) = all_234_1_99 & ( ~ (all_234_1_99 = 0) | all_234_0_98 = all_0_10_10)
% 69.65/32.12 |
% 69.65/32.12 | Applying alpha-rule on (855) yields:
% 69.65/32.12 | (856) hd(all_10_1_17) = all_234_0_98
% 69.65/32.12 | (852) ssList(all_0_9_9) = all_234_1_99
% 69.65/32.12 | (858) ~ (all_234_1_99 = 0) | all_234_0_98 = all_0_10_10
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (677), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (859) ~ (all_212_1_82 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (821) can reduce 859 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (821) all_212_1_82 = 0
% 69.65/32.12 | (862) all_212_0_81 = nil
% 69.65/32.12 |
% 69.65/32.12 | From (862) and (675) follows:
% 69.65/32.12 | (863) tl(all_0_12_12) = nil
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (673), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (864) ~ (all_210_1_80 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (820) can reduce 864 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (820) all_210_1_80 = 0
% 69.65/32.12 | (867) all_210_0_79 = all_23_2_33
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (633), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (868) ~ (cons(all_23_2_33, nil) = nil)
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (681), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (869) ~ (all_214_1_84 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (746) can reduce 869 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (746) all_214_1_84 = 0
% 69.65/32.12 | (872) ! [v0] : (v0 = all_0_9_9 | v0 = nil | all_0_9_9 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_214_0_83) | ~ (v1 = 0))))
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (661), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (873) ~ (all_204_1_74 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (818) can reduce 873 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (818) all_204_1_74 = 0
% 69.65/32.12 | (876) all_204_0_73 = 0
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (685), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (877) ~ (all_216_1_86 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (822) can reduce 877 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (822) all_216_1_86 = 0
% 69.65/32.12 | (880) all_216_0_85 = 0
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (652), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (881) ~ (all_199_1_67 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (810) can reduce 881 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (810) all_199_1_67 = 0
% 69.65/32.12 | (884) all_199_0_66 = 0
% 69.65/32.12 |
% 69.65/32.12 | From (884) and (650) follows:
% 69.65/32.12 | (885) ssList(all_10_1_17) = 0
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (702), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (886) ~ (all_225_1_97 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (825) can reduce 886 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (825) all_225_1_97 = 0
% 69.65/32.12 | (889) all_225_0_96 = 0
% 69.65/32.12 |
% 69.65/32.12 +-Applying beta-rule and splitting (689), into two cases.
% 69.65/32.12 |-Branch one:
% 69.65/32.12 | (890) ~ (all_218_1_88 = 0)
% 69.65/32.12 |
% 69.65/32.12 | Equations (823) can reduce 890 to:
% 69.65/32.12 | (472) $false
% 69.65/32.12 |
% 69.65/32.12 |-The branch is then unsatisfiable
% 69.65/32.12 |-Branch two:
% 69.65/32.12 | (823) all_218_1_88 = 0
% 69.65/32.12 | (893) all_218_0_87 = 0
% 69.65/32.12 |
% 69.65/32.13 +-Applying beta-rule and splitting (657), into two cases.
% 69.65/32.13 |-Branch one:
% 69.65/32.13 | (894) ~ (all_203_2_72 = 0) & ssList(all_10_1_17) = all_203_2_72
% 69.65/32.13 |
% 69.65/32.13 | Applying alpha-rule on (894) yields:
% 69.65/32.13 | (895) ~ (all_203_2_72 = 0)
% 69.65/32.13 | (896) ssList(all_10_1_17) = all_203_2_72
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_10_1_17, all_203_2_72, 0 and discharging atoms ssList(all_10_1_17) = all_203_2_72, ssList(all_10_1_17) = 0, yields:
% 69.65/32.13 | (897) all_203_2_72 = 0
% 69.65/32.13 |
% 69.65/32.13 | Equations (897) can reduce 895 to:
% 69.65/32.13 | (472) $false
% 69.65/32.13 |
% 69.65/32.13 |-The branch is then unsatisfiable
% 69.65/32.13 |-Branch two:
% 69.65/32.13 | (899) ssList(all_0_2_2) = all_203_2_72 & app(all_10_1_17, all_0_2_2) = all_203_1_71 & app(all_0_5_5, all_203_1_71) = all_203_0_70 & ( ~ (all_203_2_72 = 0) | all_203_0_70 = all_0_12_12)
% 69.65/32.13 |
% 69.65/32.13 | Applying alpha-rule on (899) yields:
% 69.65/32.13 | (900) ssList(all_0_2_2) = all_203_2_72
% 69.65/32.13 | (901) app(all_10_1_17, all_0_2_2) = all_203_1_71
% 69.65/32.13 | (902) app(all_0_5_5, all_203_1_71) = all_203_0_70
% 69.65/32.13 | (903) ~ (all_203_2_72 = 0) | all_203_0_70 = all_0_12_12
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_2_2, all_203_2_72, 0 and discharging atoms ssList(all_0_2_2) = all_203_2_72, ssList(all_0_2_2) = 0, yields:
% 69.65/32.13 | (897) all_203_2_72 = 0
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_3_3, all_203_2_72, 0 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 69.65/32.13 | (905) all_203_2_72 = 0 | ~ (ssList(all_0_3_3) = all_203_2_72)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_4_4, all_203_2_72, 0 and discharging atoms ssList(all_0_4_4) = 0, yields:
% 69.65/32.13 | (906) all_203_2_72 = 0 | ~ (ssList(all_0_4_4) = all_203_2_72)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_5_5, all_203_2_72, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 69.65/32.13 | (907) all_203_2_72 = 0 | ~ (ssList(all_0_5_5) = all_203_2_72)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_9_9, all_203_2_72, 0 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 69.65/32.13 | (908) all_203_2_72 = 0 | ~ (ssList(all_0_9_9) = all_203_2_72)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_11_11, all_203_2_72, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.65/32.13 | (909) all_203_2_72 = 0 | ~ (ssList(all_0_11_11) = all_203_2_72)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_12_12, all_203_2_72, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.65/32.13 | (910) all_203_2_72 = 0 | ~ (ssList(all_0_12_12) = all_203_2_72)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with nil, all_203_2_72, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.65/32.13 | (911) all_203_2_72 = 0 | ~ (ssList(nil) = all_203_2_72)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_9_9, all_234_1_99, 0 and discharging atoms ssList(all_0_9_9) = all_234_1_99, ssList(all_0_9_9) = 0, yields:
% 69.65/32.13 | (853) all_234_1_99 = 0
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_11_11, all_234_1_99, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.65/32.13 | (913) all_234_1_99 = 0 | ~ (ssList(all_0_11_11) = all_234_1_99)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_12_12, all_234_1_99, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.65/32.13 | (914) all_234_1_99 = 0 | ~ (ssList(all_0_12_12) = all_234_1_99)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_9_9, all_234_1_99, all_203_2_72 and discharging atoms ssList(all_0_9_9) = all_234_1_99, yields:
% 69.65/32.13 | (915) all_234_1_99 = all_203_2_72 | ~ (ssList(all_0_9_9) = all_203_2_72)
% 69.65/32.13 |
% 69.65/32.13 | Using (275) and (868) yields:
% 69.65/32.13 | (916) ~ (all_0_12_12 = nil)
% 69.65/32.13 |
% 69.65/32.13 | From (897) and (900) follows:
% 69.65/32.13 | (7) ssList(all_0_2_2) = 0
% 69.65/32.13 |
% 69.65/32.13 | From (853) and (852) follows:
% 69.65/32.13 | (541) ssList(all_0_9_9) = 0
% 69.65/32.13 |
% 69.65/32.13 +-Applying beta-rule and splitting (858), into two cases.
% 69.65/32.13 |-Branch one:
% 69.65/32.13 | (851) ~ (all_234_1_99 = 0)
% 69.65/32.13 |
% 69.65/32.13 | Equations (853) can reduce 851 to:
% 69.65/32.13 | (472) $false
% 69.65/32.13 |
% 69.65/32.13 |-The branch is then unsatisfiable
% 69.65/32.13 |-Branch two:
% 69.65/32.13 | (853) all_234_1_99 = 0
% 69.65/32.13 | (922) all_234_0_98 = all_0_10_10
% 69.65/32.13 |
% 69.65/32.13 | From (922) and (856) follows:
% 69.65/32.13 | (923) hd(all_10_1_17) = all_0_10_10
% 69.65/32.13 |
% 69.65/32.13 +-Applying beta-rule and splitting (159), into two cases.
% 69.65/32.13 |-Branch one:
% 69.65/32.13 | (924) all_0_12_12 = nil
% 69.65/32.13 |
% 69.65/32.13 | Equations (924) can reduce 916 to:
% 69.65/32.13 | (472) $false
% 69.65/32.13 |
% 69.65/32.13 |-The branch is then unsatisfiable
% 69.65/32.13 |-Branch two:
% 69.65/32.13 | (916) ~ (all_0_12_12 = nil)
% 69.65/32.13 | (927) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_0_12_12 & ssItem(v1) = 0)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating (927) with all_330_0_108, all_330_1_109 yields:
% 69.65/32.13 | (928) ssList(all_330_1_109) = 0 & cons(all_330_0_108, all_330_1_109) = all_0_12_12 & ssItem(all_330_0_108) = 0
% 69.65/32.13 |
% 69.65/32.13 | Applying alpha-rule on (928) yields:
% 69.65/32.13 | (929) ssList(all_330_1_109) = 0
% 69.65/32.13 | (930) cons(all_330_0_108, all_330_1_109) = all_0_12_12
% 69.65/32.13 | (931) ssItem(all_330_0_108) = 0
% 69.65/32.13 |
% 69.65/32.13 +-Applying beta-rule and splitting (648), into two cases.
% 69.65/32.13 |-Branch one:
% 69.65/32.13 | (932) ~ (app(all_0_9_9, all_0_9_9) = nil)
% 69.65/32.13 |
% 69.65/32.13 +-Applying beta-rule and splitting (903), into two cases.
% 69.65/32.13 |-Branch one:
% 69.65/32.13 | (895) ~ (all_203_2_72 = 0)
% 69.65/32.13 |
% 69.65/32.13 | Equations (897) can reduce 895 to:
% 69.65/32.13 | (472) $false
% 69.65/32.13 |
% 69.65/32.13 |-The branch is then unsatisfiable
% 69.65/32.13 |-Branch two:
% 69.65/32.13 | (897) all_203_2_72 = 0
% 69.65/32.13 | (936) all_203_0_70 = all_0_12_12
% 69.65/32.13 |
% 69.65/32.13 | From (936) and (902) follows:
% 69.65/32.13 | (937) app(all_0_5_5, all_203_1_71) = all_0_12_12
% 69.65/32.13 |
% 69.65/32.13 +-Applying beta-rule and splitting (698), into two cases.
% 69.65/32.13 |-Branch one:
% 69.65/32.13 | (938) ~ (all_224_2_95 = 0) & ssList(all_0_9_9) = all_224_2_95
% 69.65/32.13 |
% 69.65/32.13 | Applying alpha-rule on (938) yields:
% 69.65/32.13 | (939) ~ (all_224_2_95 = 0)
% 69.65/32.13 | (940) ssList(all_0_9_9) = all_224_2_95
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_9_9, all_224_2_95, 0 and discharging atoms ssList(all_0_9_9) = all_224_2_95, ssList(all_0_9_9) = 0, yields:
% 69.65/32.13 | (941) all_224_2_95 = 0
% 69.65/32.13 |
% 69.65/32.13 | Equations (941) can reduce 939 to:
% 69.65/32.13 | (472) $false
% 69.65/32.13 |
% 69.65/32.13 |-The branch is then unsatisfiable
% 69.65/32.13 |-Branch two:
% 69.65/32.13 | (943) ssList(all_0_2_2) = all_224_2_95 & app(all_0_4_4, all_224_1_94) = all_224_0_93 & app(all_0_9_9, all_0_2_2) = all_224_1_94 & ( ~ (all_224_2_95 = 0) | all_224_0_93 = all_0_12_12)
% 69.65/32.13 |
% 69.65/32.13 | Applying alpha-rule on (943) yields:
% 69.65/32.13 | (944) ssList(all_0_2_2) = all_224_2_95
% 69.65/32.13 | (945) app(all_0_4_4, all_224_1_94) = all_224_0_93
% 69.65/32.13 | (946) app(all_0_9_9, all_0_2_2) = all_224_1_94
% 69.65/32.13 | (947) ~ (all_224_2_95 = 0) | all_224_0_93 = all_0_12_12
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_2_2, all_224_2_95, 0 and discharging atoms ssList(all_0_2_2) = all_224_2_95, ssList(all_0_2_2) = 0, yields:
% 69.65/32.13 | (941) all_224_2_95 = 0
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_3_3, all_224_2_95, 0 and discharging atoms ssList(all_0_3_3) = 0, yields:
% 69.65/32.13 | (949) all_224_2_95 = 0 | ~ (ssList(all_0_3_3) = all_224_2_95)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_4_4, all_224_2_95, 0 and discharging atoms ssList(all_0_4_4) = 0, yields:
% 69.65/32.13 | (950) all_224_2_95 = 0 | ~ (ssList(all_0_4_4) = all_224_2_95)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_5_5, all_224_2_95, 0 and discharging atoms ssList(all_0_5_5) = 0, yields:
% 69.65/32.13 | (951) all_224_2_95 = 0 | ~ (ssList(all_0_5_5) = all_224_2_95)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_9_9, all_224_2_95, 0 and discharging atoms ssList(all_0_9_9) = 0, yields:
% 69.65/32.13 | (952) all_224_2_95 = 0 | ~ (ssList(all_0_9_9) = all_224_2_95)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_11_11, all_224_2_95, 0 and discharging atoms ssList(all_0_11_11) = 0, yields:
% 69.65/32.13 | (953) all_224_2_95 = 0 | ~ (ssList(all_0_11_11) = all_224_2_95)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with all_0_12_12, all_224_2_95, 0 and discharging atoms ssList(all_0_12_12) = 0, yields:
% 69.65/32.13 | (954) all_224_2_95 = 0 | ~ (ssList(all_0_12_12) = all_224_2_95)
% 69.65/32.13 |
% 69.65/32.13 | Instantiating formula (14) with nil, all_224_2_95, 0 and discharging atoms ssList(nil) = 0, yields:
% 69.65/32.14 | (955) all_224_2_95 = 0 | ~ (ssList(nil) = all_224_2_95)
% 69.65/32.14 |
% 69.65/32.14 | Using (575) and (932) yields:
% 69.65/32.14 | (956) ~ (all_10_1_17 = nil)
% 69.65/32.14 |
% 69.65/32.14 | From (941) and (944) follows:
% 69.65/32.14 | (7) ssList(all_0_2_2) = 0
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (947), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (939) ~ (all_224_2_95 = 0)
% 69.65/32.14 |
% 69.65/32.14 | Equations (941) can reduce 939 to:
% 69.65/32.14 | (472) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (941) all_224_2_95 = 0
% 69.65/32.14 | (961) all_224_0_93 = all_0_12_12
% 69.65/32.14 |
% 69.65/32.14 | From (961) and (945) follows:
% 69.65/32.14 | (962) app(all_0_4_4, all_224_1_94) = all_0_12_12
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (181), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (547) ~ (ssList(all_0_4_4) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (546) and (547) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (546) ssList(all_0_4_4) = 0
% 69.65/32.14 | (966) ~ (app(all_0_3_3, all_0_4_4) = all_0_12_12) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_7_7) = v0) | (ssList(all_0_4_4) = v0 & app(all_0_4_4, v1) = v2 & app(all_0_7_7, all_0_4_4) = v1 & ( ~ (v0 = 0) | v2 = all_0_12_12)))
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (284), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (967) ~ (ssList(all_0_7_7) = 0)
% 69.65/32.14 |
% 69.65/32.14 | From (540) and (967) follows:
% 69.65/32.14 | (968) ~ (ssList(all_0_9_9) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (541) and (968) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (517) ssList(all_0_7_7) = 0
% 69.65/32.14 | (516) all_42_0_52 = 0
% 69.65/32.14 |
% 69.65/32.14 | From (540) and (517) follows:
% 69.65/32.14 | (541) ssList(all_0_9_9) = 0
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (299), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (973) ~ (ssList(all_0_9_9) = all_8_0_14)
% 69.65/32.14 |
% 69.65/32.14 | From (545) and (973) follows:
% 69.65/32.14 | (968) ~ (ssList(all_0_9_9) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (541) and (968) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (976) ssList(all_0_9_9) = all_8_0_14
% 69.65/32.14 | (977) all_8_0_14 = all_8_1_15
% 69.65/32.14 |
% 69.65/32.14 | Combining equations (545,977) yields a new equation:
% 69.65/32.14 | (533) all_8_1_15 = 0
% 69.65/32.14 |
% 69.65/32.14 | Combining equations (533,977) yields a new equation:
% 69.65/32.14 | (545) all_8_0_14 = 0
% 69.65/32.14 |
% 69.65/32.14 | From (545) and (976) follows:
% 69.65/32.14 | (541) ssList(all_0_9_9) = 0
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (292), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (981) ~ (ssList(nil) = all_38_0_48)
% 69.65/32.14 |
% 69.65/32.14 | From (531) and (981) follows:
% 69.65/32.14 | (982) ~ (ssList(nil) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (47) and (982) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (984) ssList(nil) = all_38_0_48
% 69.65/32.14 | (531) all_38_0_48 = 0
% 69.65/32.14 |
% 69.65/32.14 | From (531) and (984) follows:
% 69.65/32.14 | (47) ssList(nil) = 0
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (291), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (987) ~ (ssList(all_0_12_12) = all_38_0_48)
% 69.65/32.14 |
% 69.65/32.14 | From (531) and (987) follows:
% 69.65/32.14 | (988) ~ (ssList(all_0_12_12) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (58) and (988) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (990) ssList(all_0_12_12) = all_38_0_48
% 69.65/32.14 | (531) all_38_0_48 = 0
% 69.65/32.14 |
% 69.65/32.14 | From (531) and (990) follows:
% 69.65/32.14 | (58) ssList(all_0_12_12) = 0
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (300), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (993) ~ (ssList(all_0_9_9) = all_42_0_52)
% 69.65/32.14 |
% 69.65/32.14 | From (516) and (993) follows:
% 69.65/32.14 | (968) ~ (ssList(all_0_9_9) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (541) and (968) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (996) ssList(all_0_9_9) = all_42_0_52
% 69.65/32.14 | (997) all_42_0_52 = all_8_1_15
% 69.65/32.14 |
% 69.65/32.14 | Combining equations (516,997) yields a new equation:
% 69.65/32.14 | (533) all_8_1_15 = 0
% 69.65/32.14 |
% 69.65/32.14 | Combining equations (533,997) yields a new equation:
% 69.65/32.14 | (516) all_42_0_52 = 0
% 69.65/32.14 |
% 69.65/32.14 | From (516) and (996) follows:
% 69.65/32.14 | (541) ssList(all_0_9_9) = 0
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (285), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (1001) ~ (ssList(all_0_11_11) = all_42_0_52)
% 69.65/32.14 |
% 69.65/32.14 | From (516) and (1001) follows:
% 69.65/32.14 | (1002) ~ (ssList(all_0_11_11) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (111) and (1002) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (1004) ssList(all_0_11_11) = all_42_0_52
% 69.65/32.14 | (516) all_42_0_52 = 0
% 69.65/32.14 |
% 69.65/32.14 | From (516) and (1004) follows:
% 69.65/32.14 | (111) ssList(all_0_11_11) = 0
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (298), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (1007) ~ (ssList(nil) = all_8_1_15)
% 69.65/32.14 |
% 69.65/32.14 | From (533) and (1007) follows:
% 69.65/32.14 | (982) ~ (ssList(nil) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (47) and (982) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (1010) ssList(nil) = all_8_1_15
% 69.65/32.14 | (533) all_8_1_15 = 0
% 69.65/32.14 |
% 69.65/32.14 | From (533) and (1010) follows:
% 69.65/32.14 | (47) ssList(nil) = 0
% 69.65/32.14 |
% 69.65/32.14 +-Applying beta-rule and splitting (293), into two cases.
% 69.65/32.14 |-Branch one:
% 69.65/32.14 | (973) ~ (ssList(all_0_9_9) = all_8_0_14)
% 69.65/32.14 |
% 69.65/32.14 | From (545) and (973) follows:
% 69.65/32.14 | (968) ~ (ssList(all_0_9_9) = 0)
% 69.65/32.14 |
% 69.65/32.14 | Using (541) and (968) yields:
% 69.65/32.14 | (538) $false
% 69.65/32.14 |
% 69.65/32.14 |-The branch is then unsatisfiable
% 69.65/32.14 |-Branch two:
% 69.65/32.14 | (976) ssList(all_0_9_9) = all_8_0_14
% 69.65/32.14 | (1017) all_38_0_48 = all_8_0_14
% 69.65/32.14 |
% 69.65/32.15 | Combining equations (531,1017) yields a new equation:
% 69.65/32.15 | (545) all_8_0_14 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (545) and (976) follows:
% 69.65/32.15 | (541) ssList(all_0_9_9) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (288), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (1020) ~ (ssList(all_0_7_7) = all_8_0_14)
% 69.65/32.15 |
% 69.65/32.15 | From (540)(545) and (1020) follows:
% 69.65/32.15 | (968) ~ (ssList(all_0_9_9) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (541) and (968) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (1023) ssList(all_0_7_7) = all_8_0_14
% 69.65/32.15 | (1024) all_42_0_52 = all_8_0_14
% 69.65/32.15 |
% 69.65/32.15 | Combining equations (516,1024) yields a new equation:
% 69.65/32.15 | (545) all_8_0_14 = 0
% 69.65/32.15 |
% 69.65/32.15 | Combining equations (545,1024) yields a new equation:
% 69.65/32.15 | (516) all_42_0_52 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (540)(545) and (1023) follows:
% 69.65/32.15 | (541) ssList(all_0_9_9) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (289), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (968) ~ (ssList(all_0_9_9) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (541) and (968) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (541) ssList(all_0_9_9) = 0
% 69.65/32.15 | (531) all_38_0_48 = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (290), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (1032) ~ (ssList(all_0_11_11) = all_38_0_48)
% 69.65/32.15 |
% 69.65/32.15 | From (531) and (1032) follows:
% 69.65/32.15 | (1002) ~ (ssList(all_0_11_11) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (111) and (1002) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (1035) ssList(all_0_11_11) = all_38_0_48
% 69.65/32.15 | (531) all_38_0_48 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (531) and (1035) follows:
% 69.65/32.15 | (111) ssList(all_0_11_11) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (279), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (547) ~ (ssList(all_0_4_4) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (546) and (547) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (546) ssList(all_0_4_4) = 0
% 69.65/32.15 | (545) all_8_0_14 = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (280), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (1042) ~ (ssList(all_0_5_5) = all_8_0_14)
% 69.65/32.15 |
% 69.65/32.15 | From (545) and (1042) follows:
% 69.65/32.15 | (1043) ~ (ssList(all_0_5_5) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (95) and (1043) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (1045) ssList(all_0_5_5) = all_8_0_14
% 69.65/32.15 | (545) all_8_0_14 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (545) and (1045) follows:
% 69.65/32.15 | (95) ssList(all_0_5_5) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (295), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (968) ~ (ssList(all_0_9_9) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (541) and (968) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (541) ssList(all_0_9_9) = 0
% 69.65/32.15 | (533) all_8_1_15 = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (296), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (1052) ~ (ssList(all_0_11_11) = all_8_1_15)
% 69.65/32.15 |
% 69.65/32.15 | From (533) and (1052) follows:
% 69.65/32.15 | (1002) ~ (ssList(all_0_11_11) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (111) and (1002) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (1055) ssList(all_0_11_11) = all_8_1_15
% 69.65/32.15 | (533) all_8_1_15 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (533) and (1055) follows:
% 69.65/32.15 | (111) ssList(all_0_11_11) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (281), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (1058) ~ (ssList(all_0_11_11) = all_8_0_14)
% 69.65/32.15 |
% 69.65/32.15 | From (545) and (1058) follows:
% 69.65/32.15 | (1002) ~ (ssList(all_0_11_11) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (111) and (1002) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (1061) ssList(all_0_11_11) = all_8_0_14
% 69.65/32.15 | (545) all_8_0_14 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (545) and (1061) follows:
% 69.65/32.15 | (111) ssList(all_0_11_11) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (297), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (1064) ~ (ssList(all_0_12_12) = all_8_1_15)
% 69.65/32.15 |
% 69.65/32.15 | From (533) and (1064) follows:
% 69.65/32.15 | (988) ~ (ssList(all_0_12_12) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (58) and (988) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (1067) ssList(all_0_12_12) = all_8_1_15
% 69.65/32.15 | (533) all_8_1_15 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (533) and (1067) follows:
% 69.65/32.15 | (58) ssList(all_0_12_12) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (282), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (1070) ~ (ssList(all_0_12_12) = all_8_0_14)
% 69.65/32.15 |
% 69.65/32.15 | From (545) and (1070) follows:
% 69.65/32.15 | (988) ~ (ssList(all_0_12_12) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (58) and (988) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (1073) ssList(all_0_12_12) = all_8_0_14
% 69.65/32.15 | (545) all_8_0_14 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (545) and (1073) follows:
% 69.65/32.15 | (58) ssList(all_0_12_12) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (294), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (993) ~ (ssList(all_0_9_9) = all_42_0_52)
% 69.65/32.15 |
% 69.65/32.15 | From (516) and (993) follows:
% 69.65/32.15 | (968) ~ (ssList(all_0_9_9) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (541) and (968) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.15 | (996) ssList(all_0_9_9) = all_42_0_52
% 69.65/32.15 | (1080) all_42_0_52 = all_38_0_48
% 69.65/32.15 |
% 69.65/32.15 | Combining equations (516,1080) yields a new equation:
% 69.65/32.15 | (531) all_38_0_48 = 0
% 69.65/32.15 |
% 69.65/32.15 | Combining equations (531,1080) yields a new equation:
% 69.65/32.15 | (516) all_42_0_52 = 0
% 69.65/32.15 |
% 69.65/32.15 | From (516) and (996) follows:
% 69.65/32.15 | (541) ssList(all_0_9_9) = 0
% 69.65/32.15 |
% 69.65/32.15 +-Applying beta-rule and splitting (283), into two cases.
% 69.65/32.15 |-Branch one:
% 69.65/32.15 | (1084) ~ (ssList(nil) = all_8_0_14)
% 69.65/32.15 |
% 69.65/32.15 | From (545) and (1084) follows:
% 69.65/32.15 | (982) ~ (ssList(nil) = 0)
% 69.65/32.15 |
% 69.65/32.15 | Using (47) and (982) yields:
% 69.65/32.15 | (538) $false
% 69.65/32.15 |
% 69.65/32.15 |-The branch is then unsatisfiable
% 69.65/32.15 |-Branch two:
% 69.65/32.16 | (1087) ssList(nil) = all_8_0_14
% 69.65/32.16 | (545) all_8_0_14 = 0
% 69.65/32.16 |
% 69.65/32.16 | From (545) and (1087) follows:
% 69.65/32.16 | (47) ssList(nil) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (286), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1090) ~ (ssList(all_0_12_12) = all_42_0_52)
% 69.65/32.16 |
% 69.65/32.16 | From (516) and (1090) follows:
% 69.65/32.16 | (988) ~ (ssList(all_0_12_12) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (58) and (988) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1093) ssList(all_0_12_12) = all_42_0_52
% 69.65/32.16 | (516) all_42_0_52 = 0
% 69.65/32.16 |
% 69.65/32.16 | From (516) and (1093) follows:
% 69.65/32.16 | (58) ssList(all_0_12_12) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (287), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1096) ~ (ssList(nil) = all_42_0_52)
% 69.65/32.16 |
% 69.65/32.16 | From (516) and (1096) follows:
% 69.65/32.16 | (982) ~ (ssList(nil) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (47) and (982) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1099) ssList(nil) = all_42_0_52
% 69.65/32.16 | (516) all_42_0_52 = 0
% 69.65/32.16 |
% 69.65/32.16 | From (516) and (1099) follows:
% 69.65/32.16 | (47) ssList(nil) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (332), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.65/32.16 |
% 69.65/32.16 | From (458) and (1102) follows:
% 69.65/32.16 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (133) and (1103) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 69.65/32.16 | (1106) all_46_1_57 = all_17_1_26
% 69.65/32.16 |
% 69.65/32.16 | Combining equations (322,1106) yields a new equation:
% 69.65/32.16 | (458) all_17_1_26 = 0
% 69.65/32.16 |
% 69.65/32.16 | Combining equations (458,1106) yields a new equation:
% 69.65/32.16 | (322) all_46_1_57 = 0
% 69.65/32.16 |
% 69.65/32.16 | From (458) and (1105) follows:
% 69.65/32.16 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (384), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.65/32.16 |
% 69.65/32.16 | From (458) and (1102) follows:
% 69.65/32.16 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (133) and (1103) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 69.65/32.16 | (1114) all_30_1_41 = all_17_1_26
% 69.65/32.16 |
% 69.65/32.16 | Combining equations (440,1114) yields a new equation:
% 69.65/32.16 | (458) all_17_1_26 = 0
% 69.65/32.16 |
% 69.65/32.16 | From (458) and (1105) follows:
% 69.65/32.16 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (325), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.65/32.16 |
% 69.65/32.16 | From (467) and (1117) follows:
% 69.65/32.16 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (133) and (1103) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 69.65/32.16 | (1121) all_46_1_57 = all_44_1_55
% 69.65/32.16 |
% 69.65/32.16 | Combining equations (322,1121) yields a new equation:
% 69.65/32.16 | (467) all_44_1_55 = 0
% 69.65/32.16 |
% 69.65/32.16 | Combining equations (467,1121) yields a new equation:
% 69.65/32.16 | (322) all_46_1_57 = 0
% 69.65/32.16 |
% 69.65/32.16 | From (467) and (1120) follows:
% 69.65/32.16 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (387), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.65/32.16 |
% 69.65/32.16 | From (469) and (1125) follows:
% 69.65/32.16 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (133) and (1103) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 69.65/32.16 | (1129) all_50_1_61 = all_28_1_39
% 69.65/32.16 |
% 69.65/32.16 | Combining equations (1129,469) yields a new equation:
% 69.65/32.16 | (1130) all_28_1_39 = 0
% 69.65/32.16 |
% 69.65/32.16 | Simplifying 1130 yields:
% 69.65/32.16 | (1131) all_28_1_39 = 0
% 69.65/32.16 |
% 69.65/32.16 | From (469) and (1128) follows:
% 69.65/32.16 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (397), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.65/32.16 |
% 69.65/32.16 | From (469) and (1125) follows:
% 69.65/32.16 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (133) and (1103) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 69.65/32.16 | (1137) all_50_1_61 = all_15_1_24
% 69.65/32.16 |
% 69.65/32.16 | From (469) and (1128) follows:
% 69.65/32.16 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (375), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.65/32.16 |
% 69.65/32.16 | From (469) and (1125) follows:
% 69.65/32.16 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (133) and (1103) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 69.65/32.16 | (1143) all_50_1_61 = all_30_1_41
% 69.65/32.16 |
% 69.65/32.16 | Combining equations (1143,469) yields a new equation:
% 69.65/32.16 | (439) all_30_1_41 = 0
% 69.65/32.16 |
% 69.65/32.16 | Simplifying 439 yields:
% 69.65/32.16 | (440) all_30_1_41 = 0
% 69.65/32.16 |
% 69.65/32.16 | From (469) and (1128) follows:
% 69.65/32.16 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.16 |
% 69.65/32.16 +-Applying beta-rule and splitting (333), into two cases.
% 69.65/32.16 |-Branch one:
% 69.65/32.16 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 69.65/32.16 |
% 69.65/32.16 | From (469) and (1125) follows:
% 69.65/32.16 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.16 |
% 69.65/32.16 | Using (133) and (1103) yields:
% 69.65/32.16 | (538) $false
% 69.65/32.16 |
% 69.65/32.16 |-The branch is then unsatisfiable
% 69.65/32.16 |-Branch two:
% 69.65/32.16 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 69.65/32.16 | (1151) all_50_1_61 = all_40_1_51
% 69.65/32.16 |
% 69.65/32.16 | From (469) and (1128) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (410), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.65/32.17 |
% 69.65/32.17 | From (467) and (1117) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.17 | Using (133) and (1103) yields:
% 69.65/32.17 | (538) $false
% 69.65/32.17 |
% 69.65/32.17 |-The branch is then unsatisfiable
% 69.65/32.17 |-Branch two:
% 69.65/32.17 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 69.65/32.17 | (1157) all_44_1_55 = all_13_1_22
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (467,1157) yields a new equation:
% 69.65/32.17 | (1158) all_13_1_22 = 0
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (1158,1157) yields a new equation:
% 69.65/32.17 | (467) all_44_1_55 = 0
% 69.65/32.17 |
% 69.65/32.17 | From (467) and (1120) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (329), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.65/32.17 |
% 69.65/32.17 | From (445) and (1161) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.17 | Using (133) and (1103) yields:
% 69.65/32.17 | (538) $false
% 69.65/32.17 |
% 69.65/32.17 |-The branch is then unsatisfiable
% 69.65/32.17 |-Branch two:
% 69.65/32.17 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 69.65/32.17 | (1165) all_46_1_57 = all_24_1_35
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (322,1165) yields a new equation:
% 69.65/32.17 | (445) all_24_1_35 = 0
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (445,1165) yields a new equation:
% 69.65/32.17 | (322) all_46_1_57 = 0
% 69.65/32.17 |
% 69.65/32.17 | From (445) and (1164) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (394), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 69.65/32.17 |
% 69.65/32.17 | From (454) and (1169) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.17 | Using (133) and (1103) yields:
% 69.65/32.17 | (538) $false
% 69.65/32.17 |
% 69.65/32.17 |-The branch is then unsatisfiable
% 69.65/32.17 |-Branch two:
% 69.65/32.17 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 69.65/32.17 | (1173) all_28_1_39 = all_21_1_30
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (1131,1173) yields a new equation:
% 69.65/32.17 | (454) all_21_1_30 = 0
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (454,1173) yields a new equation:
% 69.65/32.17 | (1131) all_28_1_39 = 0
% 69.65/32.17 |
% 69.65/32.17 | From (454) and (1172) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (303), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.65/32.17 |
% 69.65/32.17 | From (468) and (1177) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.17 | Using (133) and (1103) yields:
% 69.65/32.17 | (538) $false
% 69.65/32.17 |
% 69.65/32.17 |-The branch is then unsatisfiable
% 69.65/32.17 |-Branch two:
% 69.65/32.17 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 69.65/32.17 | (468) all_48_1_59 = 0
% 69.65/32.17 |
% 69.65/32.17 | From (468) and (1180) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (357), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.65/32.17 |
% 69.65/32.17 | From (466) and (1183) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.17 | Using (133) and (1103) yields:
% 69.65/32.17 | (538) $false
% 69.65/32.17 |
% 69.65/32.17 |-The branch is then unsatisfiable
% 69.65/32.17 |-Branch two:
% 69.65/32.17 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 69.65/32.17 | (1187) all_42_1_53 = all_34_1_45
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (466,1187) yields a new equation:
% 69.65/32.17 | (1188) all_34_1_45 = 0
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (1188,1187) yields a new equation:
% 69.65/32.17 | (466) all_42_1_53 = 0
% 69.65/32.17 |
% 69.65/32.17 | From (466) and (1186) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (358), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 69.65/32.17 |
% 69.65/32.17 | From (307) and (1191) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.17 | Using (133) and (1103) yields:
% 69.65/32.17 | (538) $false
% 69.65/32.17 |
% 69.65/32.17 |-The branch is then unsatisfiable
% 69.65/32.17 |-Branch two:
% 69.65/32.17 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 69.65/32.17 | (1195) all_36_1_47 = all_34_1_45
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (307,1195) yields a new equation:
% 69.65/32.17 | (1188) all_34_1_45 = 0
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (1188,1195) yields a new equation:
% 69.65/32.17 | (307) all_36_1_47 = 0
% 69.65/32.17 |
% 69.65/32.17 | From (307) and (1194) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (363), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.65/32.17 |
% 69.65/32.17 | From (458) and (1102) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.17 | Using (133) and (1103) yields:
% 69.65/32.17 | (538) $false
% 69.65/32.17 |
% 69.65/32.17 |-The branch is then unsatisfiable
% 69.65/32.17 |-Branch two:
% 69.65/32.17 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 69.65/32.17 | (1203) all_34_1_45 = all_17_1_26
% 69.65/32.17 |
% 69.65/32.17 | Combining equations (1188,1203) yields a new equation:
% 69.65/32.17 | (458) all_17_1_26 = 0
% 69.65/32.17 |
% 69.65/32.17 | From (458) and (1105) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (304), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.65/32.17 |
% 69.65/32.17 | From (467) and (1117) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.17 | Using (133) and (1103) yields:
% 69.65/32.17 | (538) $false
% 69.65/32.17 |
% 69.65/32.17 |-The branch is then unsatisfiable
% 69.65/32.17 |-Branch two:
% 69.65/32.17 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 69.65/32.17 | (467) all_44_1_55 = 0
% 69.65/32.17 |
% 69.65/32.17 | From (467) and (1120) follows:
% 69.65/32.17 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.17 |
% 69.65/32.17 +-Applying beta-rule and splitting (320), into two cases.
% 69.65/32.17 |-Branch one:
% 69.65/32.17 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.65/32.17 |
% 69.65/32.17 | From (458) and (1102) follows:
% 69.65/32.17 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.17 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.18 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 69.65/32.18 | (458) all_17_1_26 = 0
% 69.65/32.18 |
% 69.65/32.18 | From (458) and (1105) follows:
% 69.65/32.18 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.18 |
% 69.65/32.18 +-Applying beta-rule and splitting (334), into two cases.
% 69.65/32.18 |-Branch one:
% 69.65/32.18 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.65/32.18 |
% 69.65/32.18 | From (468) and (1177) follows:
% 69.65/32.18 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.18 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.18 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 69.65/32.18 | (1222) all_48_1_59 = all_40_1_51
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (468,1222) yields a new equation:
% 69.65/32.18 | (433) all_40_1_51 = 0
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (433,1222) yields a new equation:
% 69.65/32.18 | (468) all_48_1_59 = 0
% 69.65/32.18 |
% 69.65/32.18 | From (468) and (1180) follows:
% 69.65/32.18 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.18 |
% 69.65/32.18 +-Applying beta-rule and splitting (331), into two cases.
% 69.65/32.18 |-Branch one:
% 69.65/32.18 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 69.65/32.18 |
% 69.65/32.18 | From (456) and (1226) follows:
% 69.65/32.18 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.18 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.18 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 69.65/32.18 | (1230) all_46_1_57 = all_19_1_28
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (322,1230) yields a new equation:
% 69.65/32.18 | (456) all_19_1_28 = 0
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (456,1230) yields a new equation:
% 69.65/32.18 | (322) all_46_1_57 = 0
% 69.65/32.18 |
% 69.65/32.18 | From (456) and (1229) follows:
% 69.65/32.18 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.18 |
% 69.65/32.18 +-Applying beta-rule and splitting (417), into two cases.
% 69.65/32.18 |-Branch one:
% 69.65/32.18 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 69.65/32.18 |
% 69.65/32.18 | From (458) and (1102) follows:
% 69.65/32.18 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.18 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.18 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 69.65/32.18 | (1238) all_17_1_26 = all_13_1_22
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (458,1238) yields a new equation:
% 69.65/32.18 | (1158) all_13_1_22 = 0
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (1158,1238) yields a new equation:
% 69.65/32.18 | (458) all_17_1_26 = 0
% 69.65/32.18 |
% 69.65/32.18 | From (458) and (1105) follows:
% 69.65/32.18 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.18 |
% 69.65/32.18 +-Applying beta-rule and splitting (380), into two cases.
% 69.65/32.18 |-Branch one:
% 69.65/32.18 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 69.65/32.18 |
% 69.65/32.18 | From (462) and (1242) follows:
% 69.65/32.18 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.18 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.18 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 69.65/32.18 | (1246) all_30_1_41 = all_26_1_37
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (440,1246) yields a new equation:
% 69.65/32.18 | (462) all_26_1_37 = 0
% 69.65/32.18 |
% 69.65/32.18 | From (462) and (1245) follows:
% 69.65/32.18 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.18 |
% 69.65/32.18 +-Applying beta-rule and splitting (355), into two cases.
% 69.65/32.18 |-Branch one:
% 69.65/32.18 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 69.65/32.18 |
% 69.65/32.18 | From (468) and (1177) follows:
% 69.65/32.18 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.18 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.18 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 69.65/32.18 | (1253) all_48_1_59 = all_34_1_45
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (468,1253) yields a new equation:
% 69.65/32.18 | (1188) all_34_1_45 = 0
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (1188,1253) yields a new equation:
% 69.65/32.18 | (468) all_48_1_59 = 0
% 69.65/32.18 |
% 69.65/32.18 | From (468) and (1180) follows:
% 69.65/32.18 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.18 |
% 69.65/32.18 +-Applying beta-rule and splitting (356), into two cases.
% 69.65/32.18 |-Branch one:
% 69.65/32.18 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 69.65/32.18 |
% 69.65/32.18 | From (467) and (1117) follows:
% 69.65/32.18 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.18 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.18 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 69.65/32.18 | (1261) all_44_1_55 = all_34_1_45
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (467,1261) yields a new equation:
% 69.65/32.18 | (1188) all_34_1_45 = 0
% 69.65/32.18 |
% 69.65/32.18 | Combining equations (1188,1261) yields a new equation:
% 69.65/32.18 | (467) all_44_1_55 = 0
% 69.65/32.18 |
% 69.65/32.18 | From (467) and (1120) follows:
% 69.65/32.18 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.18 |
% 69.65/32.18 +-Applying beta-rule and splitting (314), into two cases.
% 69.65/32.18 |-Branch one:
% 69.65/32.18 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.65/32.18 |
% 69.65/32.18 | From (445) and (1161) follows:
% 69.65/32.18 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.18 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.18 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 69.65/32.18 | (445) all_24_1_35 = 0
% 69.65/32.18 |
% 69.65/32.18 | From (445) and (1164) follows:
% 69.65/32.18 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.18 |
% 69.65/32.18 +-Applying beta-rule and splitting (360), into two cases.
% 69.65/32.18 |-Branch one:
% 69.65/32.18 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.65/32.18 |
% 69.65/32.18 | From (445) and (1161) follows:
% 69.65/32.18 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.18 |
% 69.65/32.18 | Using (133) and (1103) yields:
% 69.65/32.18 | (538) $false
% 69.65/32.18 |
% 69.65/32.18 |-The branch is then unsatisfiable
% 69.65/32.18 |-Branch two:
% 69.65/32.19 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 69.65/32.19 | (1275) all_34_1_45 = all_24_1_35
% 69.65/32.19 |
% 69.65/32.19 | Combining equations (1188,1275) yields a new equation:
% 69.65/32.19 | (445) all_24_1_35 = 0
% 69.65/32.19 |
% 69.65/32.19 | From (445) and (1164) follows:
% 69.65/32.19 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.19 |
% 69.65/32.19 +-Applying beta-rule and splitting (403), into two cases.
% 69.65/32.19 |-Branch one:
% 69.65/32.19 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 69.65/32.19 |
% 69.65/32.19 | From (445) and (1161) follows:
% 69.65/32.19 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.19 |
% 69.65/32.19 | Using (133) and (1103) yields:
% 69.65/32.19 | (538) $false
% 69.65/32.19 |
% 69.65/32.19 |-The branch is then unsatisfiable
% 69.65/32.19 |-Branch two:
% 69.65/32.19 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 69.65/32.19 | (1282) all_24_1_35 = all_15_1_24
% 69.65/32.19 |
% 69.65/32.19 | Combining equations (445,1282) yields a new equation:
% 69.65/32.19 | (450) all_15_1_24 = 0
% 69.65/32.19 |
% 69.65/32.19 | Combining equations (450,1282) yields a new equation:
% 69.65/32.19 | (445) all_24_1_35 = 0
% 69.65/32.19 |
% 69.65/32.19 | From (445) and (1164) follows:
% 69.65/32.19 | (133) ssItem(all_0_10_10) = 0
% 69.65/32.19 |
% 69.65/32.19 +-Applying beta-rule and splitting (378), into two cases.
% 69.65/32.19 |-Branch one:
% 69.65/32.19 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 69.65/32.19 |
% 69.65/32.19 | From (466) and (1183) follows:
% 69.65/32.19 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 69.65/32.19 |
% 69.65/32.19 | Using (133) and (1103) yields:
% 69.65/32.19 | (538) $false
% 69.65/32.19 |
% 69.65/32.19 |-The branch is then unsatisfiable
% 69.65/32.19 |-Branch two:
% 69.65/32.19 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 69.65/32.19 | (1290) all_42_1_53 = all_30_1_41
% 69.65/32.19 |
% 70.03/32.19 | Combining equations (466,1290) yields a new equation:
% 70.03/32.19 | (440) all_30_1_41 = 0
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (440,1290) yields a new equation:
% 70.03/32.19 | (466) all_42_1_53 = 0
% 70.03/32.19 |
% 70.03/32.19 | From (466) and (1186) follows:
% 70.03/32.19 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.19 |
% 70.03/32.19 +-Applying beta-rule and splitting (413), into two cases.
% 70.03/32.19 |-Branch one:
% 70.03/32.19 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.03/32.19 |
% 70.03/32.19 | From (462) and (1242) follows:
% 70.03/32.19 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.19 |
% 70.03/32.19 | Using (133) and (1103) yields:
% 70.03/32.19 | (538) $false
% 70.03/32.19 |
% 70.03/32.19 |-The branch is then unsatisfiable
% 70.03/32.19 |-Branch two:
% 70.03/32.19 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.03/32.19 | (1298) all_26_1_37 = all_13_1_22
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (462,1298) yields a new equation:
% 70.03/32.19 | (1158) all_13_1_22 = 0
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (1158,1298) yields a new equation:
% 70.03/32.19 | (462) all_26_1_37 = 0
% 70.03/32.19 |
% 70.03/32.19 | From (462) and (1245) follows:
% 70.03/32.19 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.19 |
% 70.03/32.19 +-Applying beta-rule and splitting (335), into two cases.
% 70.03/32.19 |-Branch one:
% 70.03/32.19 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 70.03/32.19 |
% 70.03/32.19 | From (467) and (1117) follows:
% 70.03/32.19 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.19 |
% 70.03/32.19 | Using (133) and (1103) yields:
% 70.03/32.19 | (538) $false
% 70.03/32.19 |
% 70.03/32.19 |-The branch is then unsatisfiable
% 70.03/32.19 |-Branch two:
% 70.03/32.19 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 70.03/32.19 | (1306) all_44_1_55 = all_40_1_51
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (467,1306) yields a new equation:
% 70.03/32.19 | (433) all_40_1_51 = 0
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (433,1306) yields a new equation:
% 70.03/32.19 | (467) all_44_1_55 = 0
% 70.03/32.19 |
% 70.03/32.19 | From (467) and (1120) follows:
% 70.03/32.19 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.19 |
% 70.03/32.19 +-Applying beta-rule and splitting (351), into two cases.
% 70.03/32.19 |-Branch one:
% 70.03/32.19 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.03/32.19 |
% 70.03/32.19 | From (454) and (1169) follows:
% 70.03/32.19 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.19 |
% 70.03/32.19 | Using (133) and (1103) yields:
% 70.03/32.19 | (538) $false
% 70.03/32.19 |
% 70.03/32.19 |-The branch is then unsatisfiable
% 70.03/32.19 |-Branch two:
% 70.03/32.19 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.03/32.19 | (1314) all_38_1_49 = all_21_1_30
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (465,1314) yields a new equation:
% 70.03/32.19 | (454) all_21_1_30 = 0
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (454,1314) yields a new equation:
% 70.03/32.19 | (465) all_38_1_49 = 0
% 70.03/32.19 |
% 70.03/32.19 | From (454) and (1172) follows:
% 70.03/32.19 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.19 |
% 70.03/32.19 +-Applying beta-rule and splitting (416), into two cases.
% 70.03/32.19 |-Branch one:
% 70.03/32.19 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.03/32.19 |
% 70.03/32.19 | From (456) and (1226) follows:
% 70.03/32.19 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.19 |
% 70.03/32.19 | Using (133) and (1103) yields:
% 70.03/32.19 | (538) $false
% 70.03/32.19 |
% 70.03/32.19 |-The branch is then unsatisfiable
% 70.03/32.19 |-Branch two:
% 70.03/32.19 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.03/32.19 | (1322) all_19_1_28 = all_13_1_22
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (456,1322) yields a new equation:
% 70.03/32.19 | (1158) all_13_1_22 = 0
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (1158,1322) yields a new equation:
% 70.03/32.19 | (456) all_19_1_28 = 0
% 70.03/32.19 |
% 70.03/32.19 | From (456) and (1229) follows:
% 70.03/32.19 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.19 |
% 70.03/32.19 +-Applying beta-rule and splitting (368), into two cases.
% 70.03/32.19 |-Branch one:
% 70.03/32.19 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.03/32.19 |
% 70.03/32.19 | From (307) and (1191) follows:
% 70.03/32.19 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.19 |
% 70.03/32.19 | Using (133) and (1103) yields:
% 70.03/32.19 | (538) $false
% 70.03/32.19 |
% 70.03/32.19 |-The branch is then unsatisfiable
% 70.03/32.19 |-Branch two:
% 70.03/32.19 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.03/32.19 | (1330) all_36_1_47 = all_32_1_43
% 70.03/32.19 |
% 70.03/32.19 | Combining equations (307,1330) yields a new equation:
% 70.03/32.20 | (1331) all_32_1_43 = 0
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (1331,1330) yields a new equation:
% 70.03/32.20 | (307) all_36_1_47 = 0
% 70.03/32.20 |
% 70.03/32.20 | From (307) and (1194) follows:
% 70.03/32.20 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.20 |
% 70.03/32.20 +-Applying beta-rule and splitting (419), into two cases.
% 70.03/32.20 |-Branch one:
% 70.03/32.20 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 70.03/32.20 |
% 70.03/32.20 | From (468) and (1177) follows:
% 70.03/32.20 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.20 |
% 70.03/32.20 | Using (133) and (1103) yields:
% 70.03/32.20 | (538) $false
% 70.03/32.20 |
% 70.03/32.20 |-The branch is then unsatisfiable
% 70.03/32.20 |-Branch two:
% 70.03/32.20 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 70.03/32.20 | (1338) all_48_1_59 = all_11_1_20
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (468,1338) yields a new equation:
% 70.03/32.20 | (1339) all_11_1_20 = 0
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (1339,1338) yields a new equation:
% 70.03/32.20 | (468) all_48_1_59 = 0
% 70.03/32.20 |
% 70.03/32.20 | From (468) and (1180) follows:
% 70.03/32.20 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.20 |
% 70.03/32.20 +-Applying beta-rule and splitting (398), into two cases.
% 70.03/32.20 |-Branch one:
% 70.03/32.20 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 70.03/32.20 |
% 70.03/32.20 | From (468) and (1177) follows:
% 70.03/32.20 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.20 |
% 70.03/32.20 | Using (133) and (1103) yields:
% 70.03/32.20 | (538) $false
% 70.03/32.20 |
% 70.03/32.20 |-The branch is then unsatisfiable
% 70.03/32.20 |-Branch two:
% 70.03/32.20 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 70.03/32.20 | (1346) all_48_1_59 = all_15_1_24
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (468,1346) yields a new equation:
% 70.03/32.20 | (450) all_15_1_24 = 0
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (450,1346) yields a new equation:
% 70.03/32.20 | (468) all_48_1_59 = 0
% 70.03/32.20 |
% 70.03/32.20 | From (468) and (1180) follows:
% 70.03/32.20 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.20 |
% 70.03/32.20 +-Applying beta-rule and splitting (350), into two cases.
% 70.03/32.20 |-Branch one:
% 70.03/32.20 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 70.03/32.20 |
% 70.03/32.20 | From (445) and (1161) follows:
% 70.03/32.20 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.20 |
% 70.03/32.20 | Using (133) and (1103) yields:
% 70.03/32.20 | (538) $false
% 70.03/32.20 |
% 70.03/32.20 |-The branch is then unsatisfiable
% 70.03/32.20 |-Branch two:
% 70.03/32.20 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 70.03/32.20 | (1354) all_38_1_49 = all_24_1_35
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (465,1354) yields a new equation:
% 70.03/32.20 | (445) all_24_1_35 = 0
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (445,1354) yields a new equation:
% 70.03/32.20 | (465) all_38_1_49 = 0
% 70.03/32.20 |
% 70.03/32.20 | From (445) and (1164) follows:
% 70.03/32.20 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.20 |
% 70.03/32.20 +-Applying beta-rule and splitting (330), into two cases.
% 70.03/32.20 |-Branch one:
% 70.03/32.20 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.03/32.20 |
% 70.03/32.20 | From (454) and (1169) follows:
% 70.03/32.20 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.20 |
% 70.03/32.20 | Using (133) and (1103) yields:
% 70.03/32.20 | (538) $false
% 70.03/32.20 |
% 70.03/32.20 |-The branch is then unsatisfiable
% 70.03/32.20 |-Branch two:
% 70.03/32.20 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.03/32.20 | (1362) all_46_1_57 = all_21_1_30
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (322,1362) yields a new equation:
% 70.03/32.20 | (454) all_21_1_30 = 0
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (454,1362) yields a new equation:
% 70.03/32.20 | (322) all_46_1_57 = 0
% 70.03/32.20 |
% 70.03/32.20 | From (454) and (1172) follows:
% 70.03/32.20 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.20 |
% 70.03/32.20 +-Applying beta-rule and splitting (396), into two cases.
% 70.03/32.20 |-Branch one:
% 70.03/32.20 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 70.03/32.20 |
% 70.03/32.20 | From (458) and (1102) follows:
% 70.03/32.20 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.20 |
% 70.03/32.20 | Using (133) and (1103) yields:
% 70.03/32.20 | (538) $false
% 70.03/32.20 |
% 70.03/32.20 |-The branch is then unsatisfiable
% 70.03/32.20 |-Branch two:
% 70.03/32.20 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 70.03/32.20 | (1370) all_28_1_39 = all_17_1_26
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (1370,1131) yields a new equation:
% 70.03/32.20 | (1371) all_17_1_26 = 0
% 70.03/32.20 |
% 70.03/32.20 | Simplifying 1371 yields:
% 70.03/32.20 | (458) all_17_1_26 = 0
% 70.03/32.20 |
% 70.03/32.20 | From (458) and (1105) follows:
% 70.03/32.20 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.20 |
% 70.03/32.20 +-Applying beta-rule and splitting (406), into two cases.
% 70.03/32.20 |-Branch one:
% 70.03/32.20 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 70.03/32.20 |
% 70.03/32.20 | From (458) and (1102) follows:
% 70.03/32.20 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.20 |
% 70.03/32.20 | Using (133) and (1103) yields:
% 70.03/32.20 | (538) $false
% 70.03/32.20 |
% 70.03/32.20 |-The branch is then unsatisfiable
% 70.03/32.20 |-Branch two:
% 70.03/32.20 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 70.03/32.20 | (1378) all_17_1_26 = all_15_1_24
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (458,1378) yields a new equation:
% 70.03/32.20 | (450) all_15_1_24 = 0
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (450,1378) yields a new equation:
% 70.03/32.20 | (458) all_17_1_26 = 0
% 70.03/32.20 |
% 70.03/32.20 | From (458) and (1105) follows:
% 70.03/32.20 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.20 |
% 70.03/32.20 +-Applying beta-rule and splitting (364), into two cases.
% 70.03/32.20 |-Branch one:
% 70.03/32.20 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 70.03/32.20 |
% 70.03/32.20 | From (469) and (1125) follows:
% 70.03/32.20 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.20 |
% 70.03/32.20 | Using (133) and (1103) yields:
% 70.03/32.20 | (538) $false
% 70.03/32.20 |
% 70.03/32.20 |-The branch is then unsatisfiable
% 70.03/32.20 |-Branch two:
% 70.03/32.20 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 70.03/32.20 | (1386) all_50_1_61 = all_32_1_43
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (469,1386) yields a new equation:
% 70.03/32.20 | (1331) all_32_1_43 = 0
% 70.03/32.20 |
% 70.03/32.20 | Combining equations (1331,1386) yields a new equation:
% 70.03/32.20 | (469) all_50_1_61 = 0
% 70.03/32.20 |
% 70.03/32.20 | From (469) and (1128) follows:
% 70.03/32.20 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.20 |
% 70.03/32.20 +-Applying beta-rule and splitting (412), into two cases.
% 70.03/32.20 |-Branch one:
% 70.03/32.21 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.03/32.21 |
% 70.03/32.21 | From (307) and (1191) follows:
% 70.03/32.21 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.21 |
% 70.03/32.21 | Using (133) and (1103) yields:
% 70.03/32.21 | (538) $false
% 70.03/32.21 |
% 70.03/32.21 |-The branch is then unsatisfiable
% 70.03/32.21 |-Branch two:
% 70.03/32.21 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.03/32.21 | (1394) all_36_1_47 = all_13_1_22
% 70.03/32.21 |
% 70.03/32.21 | Combining equations (307,1394) yields a new equation:
% 70.03/32.21 | (1158) all_13_1_22 = 0
% 70.03/32.21 |
% 70.03/32.21 | Combining equations (1158,1394) yields a new equation:
% 70.03/32.21 | (307) all_36_1_47 = 0
% 70.03/32.21 |
% 70.03/32.21 | From (307) and (1194) follows:
% 70.03/32.21 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.21 |
% 70.03/32.21 +-Applying beta-rule and splitting (388), into two cases.
% 70.03/32.21 |-Branch one:
% 70.03/32.21 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 70.03/32.21 |
% 70.03/32.21 | From (468) and (1177) follows:
% 70.03/32.21 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.03/32.21 |
% 70.03/32.21 | Using (133) and (1103) yields:
% 70.03/32.21 | (538) $false
% 70.03/32.21 |
% 70.03/32.21 |-The branch is then unsatisfiable
% 70.03/32.21 |-Branch two:
% 70.03/32.21 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 70.03/32.21 | (1402) all_48_1_59 = all_28_1_39
% 70.03/32.21 |
% 70.03/32.21 | Combining equations (468,1402) yields a new equation:
% 70.03/32.21 | (1131) all_28_1_39 = 0
% 70.03/32.21 |
% 70.03/32.21 | Combining equations (1131,1402) yields a new equation:
% 70.03/32.21 | (468) all_48_1_59 = 0
% 70.03/32.21 |
% 70.03/32.21 | From (468) and (1180) follows:
% 70.03/32.21 | (133) ssItem(all_0_10_10) = 0
% 70.03/32.21 |
% 70.10/32.21 +-Applying beta-rule and splitting (424), into two cases.
% 70.10/32.21 |-Branch one:
% 70.10/32.21 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 70.10/32.21 |
% 70.10/32.21 | From (445) and (1161) follows:
% 70.10/32.21 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.10/32.21 |
% 70.10/32.21 | Using (133) and (1103) yields:
% 70.10/32.21 | (538) $false
% 70.10/32.21 |
% 70.10/32.21 |-The branch is then unsatisfiable
% 70.10/32.21 |-Branch two:
% 70.10/32.21 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 70.10/32.21 | (1410) all_24_1_35 = all_11_1_20
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (445,1410) yields a new equation:
% 70.10/32.21 | (1339) all_11_1_20 = 0
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (1339,1410) yields a new equation:
% 70.10/32.21 | (445) all_24_1_35 = 0
% 70.10/32.21 |
% 70.10/32.21 | From (445) and (1164) follows:
% 70.10/32.21 | (133) ssItem(all_0_10_10) = 0
% 70.10/32.21 |
% 70.10/32.21 +-Applying beta-rule and splitting (423), into two cases.
% 70.10/32.21 |-Branch one:
% 70.10/32.21 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.10/32.21 |
% 70.10/32.21 | From (462) and (1242) follows:
% 70.10/32.21 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.10/32.21 |
% 70.10/32.21 | Using (133) and (1103) yields:
% 70.10/32.21 | (538) $false
% 70.10/32.21 |
% 70.10/32.21 |-The branch is then unsatisfiable
% 70.10/32.21 |-Branch two:
% 70.10/32.21 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.10/32.21 | (1418) all_26_1_37 = all_11_1_20
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (462,1418) yields a new equation:
% 70.10/32.21 | (1339) all_11_1_20 = 0
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (1339,1418) yields a new equation:
% 70.10/32.21 | (462) all_26_1_37 = 0
% 70.10/32.21 |
% 70.10/32.21 | From (462) and (1245) follows:
% 70.10/32.21 | (133) ssItem(all_0_10_10) = 0
% 70.10/32.21 |
% 70.10/32.21 +-Applying beta-rule and splitting (379), into two cases.
% 70.10/32.21 |-Branch one:
% 70.10/32.21 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.10/32.21 |
% 70.10/32.21 | From (307) and (1191) follows:
% 70.10/32.21 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.10/32.21 |
% 70.10/32.21 | Using (133) and (1103) yields:
% 70.10/32.21 | (538) $false
% 70.10/32.21 |
% 70.10/32.21 |-The branch is then unsatisfiable
% 70.10/32.21 |-Branch two:
% 70.10/32.21 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.10/32.21 | (1426) all_36_1_47 = all_30_1_41
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (307,1426) yields a new equation:
% 70.10/32.21 | (440) all_30_1_41 = 0
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (440,1426) yields a new equation:
% 70.10/32.21 | (307) all_36_1_47 = 0
% 70.10/32.21 |
% 70.10/32.21 | From (307) and (1194) follows:
% 70.10/32.21 | (133) ssItem(all_0_10_10) = 0
% 70.10/32.21 |
% 70.10/32.21 +-Applying beta-rule and splitting (353), into two cases.
% 70.10/32.21 |-Branch one:
% 70.10/32.21 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 70.10/32.21 |
% 70.10/32.21 | From (458) and (1102) follows:
% 70.10/32.21 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.10/32.21 |
% 70.10/32.21 | Using (133) and (1103) yields:
% 70.10/32.21 | (538) $false
% 70.10/32.21 |
% 70.10/32.21 |-The branch is then unsatisfiable
% 70.10/32.21 |-Branch two:
% 70.10/32.21 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 70.10/32.21 | (1434) all_38_1_49 = all_17_1_26
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (465,1434) yields a new equation:
% 70.10/32.21 | (458) all_17_1_26 = 0
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (458,1434) yields a new equation:
% 70.10/32.21 | (465) all_38_1_49 = 0
% 70.10/32.21 |
% 70.10/32.21 | From (458) and (1105) follows:
% 70.10/32.21 | (133) ssItem(all_0_10_10) = 0
% 70.10/32.21 |
% 70.10/32.21 +-Applying beta-rule and splitting (327), into two cases.
% 70.10/32.21 |-Branch one:
% 70.10/32.21 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.10/32.21 |
% 70.10/32.21 | From (307) and (1191) follows:
% 70.10/32.21 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.10/32.21 |
% 70.10/32.21 | Using (133) and (1103) yields:
% 70.10/32.21 | (538) $false
% 70.10/32.21 |
% 70.10/32.21 |-The branch is then unsatisfiable
% 70.10/32.21 |-Branch two:
% 70.10/32.21 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.10/32.21 | (1442) all_46_1_57 = all_36_1_47
% 70.10/32.21 |
% 70.10/32.21 | Combining equations (322,1442) yields a new equation:
% 70.10/32.21 | (307) all_36_1_47 = 0
% 70.10/32.21 |
% 70.10/32.21 | From (307) and (1194) follows:
% 70.10/32.21 | (133) ssItem(all_0_10_10) = 0
% 70.10/32.21 |
% 70.10/32.21 +-Applying beta-rule and splitting (425), into two cases.
% 70.10/32.21 |-Branch one:
% 70.10/32.21 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.10/32.22 |
% 70.10/32.22 | From (454) and (1169) follows:
% 70.10/32.22 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.10/32.22 |
% 70.10/32.22 | Using (133) and (1103) yields:
% 70.10/32.22 | (538) $false
% 70.10/32.22 |
% 70.10/32.22 |-The branch is then unsatisfiable
% 70.10/32.22 |-Branch two:
% 70.10/32.22 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.10/32.22 | (1449) all_21_1_30 = all_11_1_20
% 70.10/32.22 |
% 70.10/32.22 | Combining equations (454,1449) yields a new equation:
% 70.10/32.22 | (1339) all_11_1_20 = 0
% 70.10/32.22 |
% 70.10/32.22 | Combining equations (1339,1449) yields a new equation:
% 70.10/32.22 | (454) all_21_1_30 = 0
% 70.10/32.22 |
% 70.10/32.22 | From (454) and (1172) follows:
% 70.10/32.22 | (133) ssItem(all_0_10_10) = 0
% 70.10/32.22 |
% 70.10/32.22 +-Applying beta-rule and splitting (390), into two cases.
% 70.10/32.22 |-Branch one:
% 70.10/32.22 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.10/32.22 |
% 70.10/32.22 | From (466) and (1183) follows:
% 70.10/32.22 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.10/32.22 |
% 70.10/32.22 | Using (133) and (1103) yields:
% 70.10/32.22 | (538) $false
% 70.10/32.22 |
% 70.10/32.22 |-The branch is then unsatisfiable
% 70.10/32.22 |-Branch two:
% 70.10/32.22 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.15/32.22 | (1457) all_42_1_53 = all_28_1_39
% 70.15/32.22 |
% 70.15/32.22 | Combining equations (466,1457) yields a new equation:
% 70.15/32.22 | (1131) all_28_1_39 = 0
% 70.15/32.22 |
% 70.15/32.22 | Combining equations (1131,1457) yields a new equation:
% 70.15/32.22 | (466) all_42_1_53 = 0
% 70.15/32.22 |
% 70.15/32.22 | From (466) and (1186) follows:
% 70.15/32.22 | (133) ssItem(all_0_10_10) = 0
% 70.15/32.22 |
% 70.15/32.22 +-Applying beta-rule and splitting (383), into two cases.
% 70.15/32.22 |-Branch one:
% 70.15/32.22 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.15/32.22 |
% 70.15/32.22 | From (456) and (1226) follows:
% 70.15/32.22 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.15/32.22 |
% 70.15/32.22 | Using (133) and (1103) yields:
% 70.15/32.22 | (538) $false
% 70.15/32.22 |
% 70.15/32.22 |-The branch is then unsatisfiable
% 70.15/32.22 |-Branch two:
% 70.15/32.22 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.15/32.22 | (1465) all_30_1_41 = all_19_1_28
% 70.15/32.22 |
% 70.15/32.22 | Combining equations (440,1465) yields a new equation:
% 70.15/32.22 | (456) all_19_1_28 = 0
% 70.15/32.22 |
% 70.15/32.22 | Combining equations (456,1465) yields a new equation:
% 70.15/32.22 | (440) all_30_1_41 = 0
% 70.15/32.22 |
% 70.15/32.22 | From (456) and (1229) follows:
% 70.15/32.22 | (133) ssItem(all_0_10_10) = 0
% 70.15/32.22 |
% 70.15/32.22 +-Applying beta-rule and splitting (354), into two cases.
% 70.15/32.22 |-Branch one:
% 70.15/32.22 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 70.15/32.22 |
% 70.15/32.22 | From (469) and (1125) follows:
% 70.15/32.22 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.15/32.22 |
% 70.15/32.22 | Using (133) and (1103) yields:
% 70.15/32.22 | (538) $false
% 70.15/32.22 |
% 70.15/32.22 |-The branch is then unsatisfiable
% 70.15/32.22 |-Branch two:
% 70.15/32.22 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 70.15/32.22 | (1473) all_50_1_61 = all_34_1_45
% 70.15/32.22 |
% 70.15/32.22 | Combining equations (469,1473) yields a new equation:
% 70.15/32.22 | (1188) all_34_1_45 = 0
% 70.15/32.22 |
% 70.15/32.22 | Combining equations (1188,1473) yields a new equation:
% 70.15/32.22 | (469) all_50_1_61 = 0
% 70.15/32.22 |
% 70.15/32.22 | From (469) and (1128) follows:
% 70.15/32.22 | (133) ssItem(all_0_10_10) = 0
% 70.15/32.22 |
% 70.15/32.22 +-Applying beta-rule and splitting (312), into two cases.
% 70.15/32.22 |-Branch one:
% 70.15/32.22 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.15/32.22 |
% 70.15/32.22 | From (462) and (1242) follows:
% 70.15/32.22 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.15/32.22 |
% 70.15/32.22 | Using (133) and (1103) yields:
% 70.15/32.22 | (538) $false
% 70.15/32.22 |
% 70.15/32.22 |-The branch is then unsatisfiable
% 70.15/32.22 |-Branch two:
% 70.15/32.22 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.15/32.22 | (462) all_26_1_37 = 0
% 70.15/32.22 |
% 70.15/32.22 | From (462) and (1245) follows:
% 70.15/32.22 | (133) ssItem(all_0_10_10) = 0
% 70.15/32.22 |
% 70.15/32.22 +-Applying beta-rule and splitting (392), into two cases.
% 70.15/32.22 |-Branch one:
% 70.15/32.22 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.15/32.22 |
% 70.15/32.22 | From (462) and (1242) follows:
% 70.15/32.22 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.15/32.22 |
% 70.15/32.22 | Using (133) and (1103) yields:
% 70.15/32.22 | (538) $false
% 70.15/32.22 |
% 70.15/32.22 |-The branch is then unsatisfiable
% 70.15/32.22 |-Branch two:
% 70.15/32.22 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.15/32.22 | (1487) all_28_1_39 = all_26_1_37
% 70.15/32.22 |
% 70.15/32.22 | Combining equations (1131,1487) yields a new equation:
% 70.15/32.22 | (462) all_26_1_37 = 0
% 70.15/32.22 |
% 70.15/32.22 | Combining equations (462,1487) yields a new equation:
% 70.15/32.22 | (1131) all_28_1_39 = 0
% 70.15/32.22 |
% 70.15/32.22 | From (462) and (1245) follows:
% 70.15/32.22 | (133) ssItem(all_0_10_10) = 0
% 70.15/32.22 |
% 70.17/32.22 +-Applying beta-rule and splitting (372), into two cases.
% 70.17/32.22 |-Branch one:
% 70.17/32.22 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.17/32.22 |
% 70.17/32.22 | From (456) and (1226) follows:
% 70.17/32.22 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.22 |
% 70.17/32.22 | Using (133) and (1103) yields:
% 70.17/32.22 | (538) $false
% 70.17/32.22 |
% 70.17/32.22 |-The branch is then unsatisfiable
% 70.17/32.22 |-Branch two:
% 70.17/32.22 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.17/32.22 | (1495) all_32_1_43 = all_19_1_28
% 70.17/32.22 |
% 70.17/32.22 | Combining equations (1331,1495) yields a new equation:
% 70.17/32.22 | (456) all_19_1_28 = 0
% 70.17/32.22 |
% 70.17/32.22 | Combining equations (456,1495) yields a new equation:
% 70.17/32.22 | (1331) all_32_1_43 = 0
% 70.17/32.22 |
% 70.17/32.22 | From (456) and (1229) follows:
% 70.17/32.22 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.22 |
% 70.17/32.22 +-Applying beta-rule and splitting (381), into two cases.
% 70.17/32.22 |-Branch one:
% 70.17/32.22 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 70.17/32.22 |
% 70.17/32.22 | From (445) and (1161) follows:
% 70.17/32.23 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.23 |
% 70.17/32.23 | Using (133) and (1103) yields:
% 70.17/32.23 | (538) $false
% 70.17/32.23 |
% 70.17/32.23 |-The branch is then unsatisfiable
% 70.17/32.23 |-Branch two:
% 70.17/32.23 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 70.17/32.23 | (1503) all_30_1_41 = all_24_1_35
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (440,1503) yields a new equation:
% 70.17/32.23 | (445) all_24_1_35 = 0
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (445,1503) yields a new equation:
% 70.17/32.23 | (440) all_30_1_41 = 0
% 70.17/32.23 |
% 70.17/32.23 | From (445) and (1164) follows:
% 70.17/32.23 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.23 |
% 70.17/32.23 +-Applying beta-rule and splitting (324), into two cases.
% 70.17/32.23 |-Branch one:
% 70.17/32.23 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 70.17/32.23 |
% 70.17/32.23 | From (468) and (1177) follows:
% 70.17/32.23 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.23 |
% 70.17/32.23 | Using (133) and (1103) yields:
% 70.17/32.23 | (538) $false
% 70.17/32.23 |
% 70.17/32.23 |-The branch is then unsatisfiable
% 70.17/32.23 |-Branch two:
% 70.17/32.23 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 70.17/32.23 | (1511) all_48_1_59 = all_46_1_57
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (468,1511) yields a new equation:
% 70.17/32.23 | (322) all_46_1_57 = 0
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (322,1511) yields a new equation:
% 70.17/32.23 | (468) all_48_1_59 = 0
% 70.17/32.23 |
% 70.17/32.23 | From (468) and (1180) follows:
% 70.17/32.23 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.23 |
% 70.17/32.23 +-Applying beta-rule and splitting (382), into two cases.
% 70.17/32.23 |-Branch one:
% 70.17/32.23 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.17/32.23 |
% 70.17/32.23 | From (454) and (1169) follows:
% 70.17/32.23 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.23 |
% 70.17/32.23 | Using (133) and (1103) yields:
% 70.17/32.23 | (538) $false
% 70.17/32.23 |
% 70.17/32.23 |-The branch is then unsatisfiable
% 70.17/32.23 |-Branch two:
% 70.17/32.23 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.17/32.23 | (1519) all_30_1_41 = all_21_1_30
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (440,1519) yields a new equation:
% 70.17/32.23 | (454) all_21_1_30 = 0
% 70.17/32.23 |
% 70.17/32.23 | From (454) and (1172) follows:
% 70.17/32.23 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.23 |
% 70.17/32.23 +-Applying beta-rule and splitting (370), into two cases.
% 70.17/32.23 |-Branch one:
% 70.17/32.23 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 70.17/32.23 |
% 70.17/32.23 | From (445) and (1161) follows:
% 70.17/32.23 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.23 |
% 70.17/32.23 | Using (133) and (1103) yields:
% 70.17/32.23 | (538) $false
% 70.17/32.23 |
% 70.17/32.23 |-The branch is then unsatisfiable
% 70.17/32.23 |-Branch two:
% 70.17/32.23 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 70.17/32.23 | (1526) all_32_1_43 = all_24_1_35
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (1331,1526) yields a new equation:
% 70.17/32.23 | (445) all_24_1_35 = 0
% 70.17/32.23 |
% 70.17/32.23 | From (445) and (1164) follows:
% 70.17/32.23 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.23 |
% 70.17/32.23 +-Applying beta-rule and splitting (422), into two cases.
% 70.17/32.23 |-Branch one:
% 70.17/32.23 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.17/32.23 |
% 70.17/32.23 | From (307) and (1191) follows:
% 70.17/32.23 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.23 |
% 70.17/32.23 | Using (133) and (1103) yields:
% 70.17/32.23 | (538) $false
% 70.17/32.23 |
% 70.17/32.23 |-The branch is then unsatisfiable
% 70.17/32.23 |-Branch two:
% 70.17/32.23 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.17/32.23 | (1533) all_36_1_47 = all_11_1_20
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (307,1533) yields a new equation:
% 70.17/32.23 | (1339) all_11_1_20 = 0
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (1339,1533) yields a new equation:
% 70.17/32.23 | (307) all_36_1_47 = 0
% 70.17/32.23 |
% 70.17/32.23 | From (307) and (1194) follows:
% 70.17/32.23 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.23 |
% 70.17/32.23 +-Applying beta-rule and splitting (409), into two cases.
% 70.17/32.23 |-Branch one:
% 70.17/32.23 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 70.17/32.23 |
% 70.17/32.23 | From (468) and (1177) follows:
% 70.17/32.23 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.23 |
% 70.17/32.23 | Using (133) and (1103) yields:
% 70.17/32.23 | (538) $false
% 70.17/32.23 |
% 70.17/32.23 |-The branch is then unsatisfiable
% 70.17/32.23 |-Branch two:
% 70.17/32.23 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 70.17/32.23 | (1541) all_48_1_59 = all_13_1_22
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (468,1541) yields a new equation:
% 70.17/32.23 | (1158) all_13_1_22 = 0
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (1158,1541) yields a new equation:
% 70.17/32.23 | (468) all_48_1_59 = 0
% 70.17/32.23 |
% 70.17/32.23 | From (468) and (1180) follows:
% 70.17/32.23 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.23 |
% 70.17/32.23 +-Applying beta-rule and splitting (302), into two cases.
% 70.17/32.23 |-Branch one:
% 70.17/32.23 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 70.17/32.23 |
% 70.17/32.23 | From (469) and (1125) follows:
% 70.17/32.23 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.23 |
% 70.17/32.23 | Using (133) and (1103) yields:
% 70.17/32.23 | (538) $false
% 70.17/32.23 |
% 70.17/32.23 |-The branch is then unsatisfiable
% 70.17/32.23 |-Branch two:
% 70.17/32.23 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 70.17/32.23 | (469) all_50_1_61 = 0
% 70.17/32.23 |
% 70.17/32.23 | From (469) and (1128) follows:
% 70.17/32.23 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.23 |
% 70.17/32.23 +-Applying beta-rule and splitting (352), into two cases.
% 70.17/32.23 |-Branch one:
% 70.17/32.23 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.17/32.23 |
% 70.17/32.23 | From (456) and (1226) follows:
% 70.17/32.23 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.23 |
% 70.17/32.23 | Using (133) and (1103) yields:
% 70.17/32.23 | (538) $false
% 70.17/32.23 |
% 70.17/32.23 |-The branch is then unsatisfiable
% 70.17/32.23 |-Branch two:
% 70.17/32.23 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.17/32.23 | (1555) all_38_1_49 = all_19_1_28
% 70.17/32.23 |
% 70.17/32.23 | Combining equations (465,1555) yields a new equation:
% 70.17/32.23 | (456) all_19_1_28 = 0
% 70.17/32.23 |
% 70.17/32.23 | From (456) and (1229) follows:
% 70.17/32.24 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.24 |
% 70.17/32.24 +-Applying beta-rule and splitting (408), into two cases.
% 70.17/32.24 |-Branch one:
% 70.17/32.24 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 70.17/32.24 |
% 70.17/32.24 | From (469) and (1125) follows:
% 70.17/32.24 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.24 |
% 70.17/32.24 | Using (133) and (1103) yields:
% 70.17/32.24 | (538) $false
% 70.17/32.24 |
% 70.17/32.24 |-The branch is then unsatisfiable
% 70.17/32.24 |-Branch two:
% 70.17/32.24 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 70.17/32.24 | (1562) all_50_1_61 = all_13_1_22
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (469,1562) yields a new equation:
% 70.17/32.24 | (1158) all_13_1_22 = 0
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (1158,1562) yields a new equation:
% 70.17/32.24 | (469) all_50_1_61 = 0
% 70.17/32.24 |
% 70.17/32.24 | From (469) and (1128) follows:
% 70.17/32.24 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.24 |
% 70.17/32.24 +-Applying beta-rule and splitting (344), into two cases.
% 70.17/32.24 |-Branch one:
% 70.17/32.24 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 70.17/32.24 |
% 70.17/32.24 | From (469) and (1125) follows:
% 70.17/32.24 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.24 |
% 70.17/32.24 | Using (133) and (1103) yields:
% 70.17/32.24 | (538) $false
% 70.17/32.24 |
% 70.17/32.24 |-The branch is then unsatisfiable
% 70.17/32.24 |-Branch two:
% 70.17/32.24 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 70.17/32.24 | (1570) all_50_1_61 = all_38_1_49
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (469,1570) yields a new equation:
% 70.17/32.24 | (465) all_38_1_49 = 0
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (465,1570) yields a new equation:
% 70.17/32.24 | (469) all_50_1_61 = 0
% 70.17/32.24 |
% 70.17/32.24 | From (469) and (1128) follows:
% 70.17/32.24 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.24 |
% 70.17/32.24 +-Applying beta-rule and splitting (365), into two cases.
% 70.17/32.24 |-Branch one:
% 70.17/32.24 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 70.17/32.24 |
% 70.17/32.24 | From (468) and (1177) follows:
% 70.17/32.24 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.24 |
% 70.17/32.24 | Using (133) and (1103) yields:
% 70.17/32.24 | (538) $false
% 70.17/32.24 |
% 70.17/32.24 |-The branch is then unsatisfiable
% 70.17/32.24 |-Branch two:
% 70.17/32.24 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 70.17/32.24 | (1578) all_48_1_59 = all_32_1_43
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (468,1578) yields a new equation:
% 70.17/32.24 | (1331) all_32_1_43 = 0
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (1331,1578) yields a new equation:
% 70.17/32.24 | (468) all_48_1_59 = 0
% 70.17/32.24 |
% 70.17/32.24 | From (468) and (1180) follows:
% 70.17/32.24 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.24 |
% 70.17/32.24 +-Applying beta-rule and splitting (337), into two cases.
% 70.17/32.24 |-Branch one:
% 70.17/32.24 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.17/32.24 |
% 70.17/32.24 | From (307) and (1191) follows:
% 70.17/32.24 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.24 |
% 70.17/32.24 | Using (133) and (1103) yields:
% 70.17/32.24 | (538) $false
% 70.17/32.24 |
% 70.17/32.24 |-The branch is then unsatisfiable
% 70.17/32.24 |-Branch two:
% 70.17/32.24 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.17/32.24 | (1586) all_40_1_51 = all_36_1_47
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (433,1586) yields a new equation:
% 70.17/32.24 | (307) all_36_1_47 = 0
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (307,1586) yields a new equation:
% 70.17/32.24 | (433) all_40_1_51 = 0
% 70.17/32.24 |
% 70.17/32.24 | From (307) and (1194) follows:
% 70.17/32.24 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.24 |
% 70.17/32.24 +-Applying beta-rule and splitting (418), into two cases.
% 70.17/32.24 |-Branch one:
% 70.17/32.24 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 70.17/32.24 |
% 70.17/32.24 | From (469) and (1125) follows:
% 70.17/32.24 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.24 |
% 70.17/32.24 | Using (133) and (1103) yields:
% 70.17/32.24 | (538) $false
% 70.17/32.24 |
% 70.17/32.24 |-The branch is then unsatisfiable
% 70.17/32.24 |-Branch two:
% 70.17/32.24 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 70.17/32.24 | (1594) all_50_1_61 = all_11_1_20
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (469,1594) yields a new equation:
% 70.17/32.24 | (1339) all_11_1_20 = 0
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (1339,1594) yields a new equation:
% 70.17/32.24 | (469) all_50_1_61 = 0
% 70.17/32.24 |
% 70.17/32.24 | From (469) and (1128) follows:
% 70.17/32.24 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.24 |
% 70.17/32.24 +-Applying beta-rule and splitting (342), into two cases.
% 70.17/32.24 |-Branch one:
% 70.17/32.24 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 70.17/32.24 |
% 70.17/32.24 | From (458) and (1102) follows:
% 70.17/32.24 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.24 |
% 70.17/32.24 | Using (133) and (1103) yields:
% 70.17/32.24 | (538) $false
% 70.17/32.24 |
% 70.17/32.24 |-The branch is then unsatisfiable
% 70.17/32.24 |-Branch two:
% 70.17/32.24 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 70.17/32.24 | (1602) all_40_1_51 = all_17_1_26
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (433,1602) yields a new equation:
% 70.17/32.24 | (458) all_17_1_26 = 0
% 70.17/32.24 |
% 70.17/32.24 | Combining equations (458,1602) yields a new equation:
% 70.17/32.24 | (433) all_40_1_51 = 0
% 70.17/32.24 |
% 70.17/32.24 | From (458) and (1105) follows:
% 70.17/32.24 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.24 |
% 70.17/32.24 +-Applying beta-rule and splitting (323), into two cases.
% 70.17/32.24 |-Branch one:
% 70.17/32.24 | (1125) ~ (ssItem(all_0_10_10) = all_50_1_61)
% 70.17/32.24 |
% 70.17/32.24 | From (469) and (1125) follows:
% 70.17/32.24 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.24 |
% 70.17/32.25 | Using (133) and (1103) yields:
% 70.17/32.25 | (538) $false
% 70.17/32.25 |
% 70.17/32.25 |-The branch is then unsatisfiable
% 70.17/32.25 |-Branch two:
% 70.17/32.25 | (1128) ssItem(all_0_10_10) = all_50_1_61
% 70.17/32.25 | (1610) all_50_1_61 = all_46_1_57
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (469,1610) yields a new equation:
% 70.17/32.25 | (322) all_46_1_57 = 0
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (322,1610) yields a new equation:
% 70.17/32.25 | (469) all_50_1_61 = 0
% 70.17/32.25 |
% 70.17/32.25 | From (469) and (1128) follows:
% 70.17/32.25 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.25 |
% 70.17/32.25 +-Applying beta-rule and splitting (362), into two cases.
% 70.17/32.25 |-Branch one:
% 70.17/32.25 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.17/32.25 |
% 70.17/32.25 | From (456) and (1226) follows:
% 70.17/32.25 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.25 |
% 70.17/32.25 | Using (133) and (1103) yields:
% 70.17/32.25 | (538) $false
% 70.17/32.25 |
% 70.17/32.25 |-The branch is then unsatisfiable
% 70.17/32.25 |-Branch two:
% 70.17/32.25 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.17/32.25 | (1618) all_34_1_45 = all_19_1_28
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (1188,1618) yields a new equation:
% 70.17/32.25 | (456) all_19_1_28 = 0
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (456,1618) yields a new equation:
% 70.17/32.25 | (1188) all_34_1_45 = 0
% 70.17/32.25 |
% 70.17/32.25 | From (456) and (1229) follows:
% 70.17/32.25 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.25 |
% 70.17/32.25 +-Applying beta-rule and splitting (369), into two cases.
% 70.17/32.25 |-Branch one:
% 70.17/32.25 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.17/32.25 |
% 70.17/32.25 | From (462) and (1242) follows:
% 70.17/32.25 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.25 |
% 70.17/32.25 | Using (133) and (1103) yields:
% 70.17/32.25 | (538) $false
% 70.17/32.25 |
% 70.17/32.25 |-The branch is then unsatisfiable
% 70.17/32.25 |-Branch two:
% 70.17/32.25 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.17/32.25 | (1626) all_32_1_43 = all_26_1_37
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (1626,1331) yields a new equation:
% 70.17/32.25 | (1627) all_26_1_37 = 0
% 70.17/32.25 |
% 70.17/32.25 | Simplifying 1627 yields:
% 70.17/32.25 | (462) all_26_1_37 = 0
% 70.17/32.25 |
% 70.17/32.25 | From (462) and (1245) follows:
% 70.17/32.25 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.25 |
% 70.17/32.25 +-Applying beta-rule and splitting (401), into two cases.
% 70.17/32.25 |-Branch one:
% 70.17/32.25 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.17/32.25 |
% 70.17/32.25 | From (307) and (1191) follows:
% 70.17/32.25 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.25 |
% 70.17/32.25 | Using (133) and (1103) yields:
% 70.17/32.25 | (538) $false
% 70.17/32.25 |
% 70.17/32.25 |-The branch is then unsatisfiable
% 70.17/32.25 |-Branch two:
% 70.17/32.25 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.17/32.25 | (1634) all_36_1_47 = all_15_1_24
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (307,1634) yields a new equation:
% 70.17/32.25 | (450) all_15_1_24 = 0
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (450,1634) yields a new equation:
% 70.17/32.25 | (307) all_36_1_47 = 0
% 70.17/32.25 |
% 70.17/32.25 | From (307) and (1194) follows:
% 70.17/32.25 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.25 |
% 70.17/32.25 +-Applying beta-rule and splitting (316), into two cases.
% 70.17/32.25 |-Branch one:
% 70.17/32.25 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.17/32.25 |
% 70.17/32.25 | From (454) and (1169) follows:
% 70.17/32.25 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.25 |
% 70.17/32.25 | Using (133) and (1103) yields:
% 70.17/32.25 | (538) $false
% 70.17/32.25 |
% 70.17/32.25 |-The branch is then unsatisfiable
% 70.17/32.25 |-Branch two:
% 70.17/32.25 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.17/32.25 | (454) all_21_1_30 = 0
% 70.17/32.25 |
% 70.17/32.25 | From (454) and (1172) follows:
% 70.17/32.25 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.25 |
% 70.17/32.25 +-Applying beta-rule and splitting (393), into two cases.
% 70.17/32.25 |-Branch one:
% 70.17/32.25 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 70.17/32.25 |
% 70.17/32.25 | From (445) and (1161) follows:
% 70.17/32.25 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.25 |
% 70.17/32.25 | Using (133) and (1103) yields:
% 70.17/32.25 | (538) $false
% 70.17/32.25 |
% 70.17/32.25 |-The branch is then unsatisfiable
% 70.17/32.25 |-Branch two:
% 70.17/32.25 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 70.17/32.25 | (1648) all_28_1_39 = all_24_1_35
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (1131,1648) yields a new equation:
% 70.17/32.25 | (445) all_24_1_35 = 0
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (445,1648) yields a new equation:
% 70.17/32.25 | (1131) all_28_1_39 = 0
% 70.17/32.25 |
% 70.17/32.25 | From (445) and (1164) follows:
% 70.17/32.25 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.25 |
% 70.17/32.25 +-Applying beta-rule and splitting (415), into two cases.
% 70.17/32.25 |-Branch one:
% 70.17/32.25 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.17/32.25 |
% 70.17/32.25 | From (454) and (1169) follows:
% 70.17/32.25 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.25 |
% 70.17/32.25 | Using (133) and (1103) yields:
% 70.17/32.25 | (538) $false
% 70.17/32.25 |
% 70.17/32.25 |-The branch is then unsatisfiable
% 70.17/32.25 |-Branch two:
% 70.17/32.25 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.17/32.25 | (1656) all_21_1_30 = all_13_1_22
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (454,1656) yields a new equation:
% 70.17/32.25 | (1158) all_13_1_22 = 0
% 70.17/32.25 |
% 70.17/32.25 | Combining equations (1158,1656) yields a new equation:
% 70.17/32.25 | (454) all_21_1_30 = 0
% 70.17/32.25 |
% 70.17/32.25 | From (454) and (1172) follows:
% 70.17/32.25 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.25 |
% 70.17/32.25 +-Applying beta-rule and splitting (306), into two cases.
% 70.17/32.25 |-Branch one:
% 70.17/32.25 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.17/32.25 |
% 70.17/32.25 | From (466) and (1183) follows:
% 70.17/32.25 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.25 |
% 70.17/32.25 | Using (133) and (1103) yields:
% 70.17/32.25 | (538) $false
% 70.17/32.25 |
% 70.17/32.25 |-The branch is then unsatisfiable
% 70.17/32.25 |-Branch two:
% 70.17/32.25 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.17/32.26 | (466) all_42_1_53 = 0
% 70.17/32.26 |
% 70.17/32.26 | From (466) and (1186) follows:
% 70.17/32.26 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.26 |
% 70.17/32.26 +-Applying beta-rule and splitting (405), into two cases.
% 70.17/32.26 |-Branch one:
% 70.17/32.26 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.17/32.26 |
% 70.17/32.26 | From (456) and (1226) follows:
% 70.17/32.26 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.26 |
% 70.17/32.26 | Using (133) and (1103) yields:
% 70.17/32.26 | (538) $false
% 70.17/32.26 |
% 70.17/32.26 |-The branch is then unsatisfiable
% 70.17/32.26 |-Branch two:
% 70.17/32.26 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.17/32.26 | (1670) all_19_1_28 = all_15_1_24
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (456,1670) yields a new equation:
% 70.17/32.26 | (450) all_15_1_24 = 0
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (450,1670) yields a new equation:
% 70.17/32.26 | (456) all_19_1_28 = 0
% 70.17/32.26 |
% 70.17/32.26 | From (456) and (1229) follows:
% 70.17/32.26 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.26 |
% 70.17/32.26 +-Applying beta-rule and splitting (395), into two cases.
% 70.17/32.26 |-Branch one:
% 70.17/32.26 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.17/32.26 |
% 70.17/32.26 | From (456) and (1226) follows:
% 70.17/32.26 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.26 |
% 70.17/32.26 | Using (133) and (1103) yields:
% 70.17/32.26 | (538) $false
% 70.17/32.26 |
% 70.17/32.26 |-The branch is then unsatisfiable
% 70.17/32.26 |-Branch two:
% 70.17/32.26 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.17/32.26 | (1678) all_28_1_39 = all_19_1_28
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (1131,1678) yields a new equation:
% 70.17/32.26 | (456) all_19_1_28 = 0
% 70.17/32.26 |
% 70.17/32.26 | From (456) and (1229) follows:
% 70.17/32.26 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.26 |
% 70.17/32.26 +-Applying beta-rule and splitting (404), into two cases.
% 70.17/32.26 |-Branch one:
% 70.17/32.26 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.17/32.26 |
% 70.17/32.26 | From (454) and (1169) follows:
% 70.17/32.26 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.26 |
% 70.17/32.26 | Using (133) and (1103) yields:
% 70.17/32.26 | (538) $false
% 70.17/32.26 |
% 70.17/32.26 |-The branch is then unsatisfiable
% 70.17/32.26 |-Branch two:
% 70.17/32.26 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.17/32.26 | (1685) all_21_1_30 = all_15_1_24
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (454,1685) yields a new equation:
% 70.17/32.26 | (450) all_15_1_24 = 0
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (450,1685) yields a new equation:
% 70.17/32.26 | (454) all_21_1_30 = 0
% 70.17/32.26 |
% 70.17/32.26 | From (454) and (1172) follows:
% 70.17/32.26 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.26 |
% 70.17/32.26 +-Applying beta-rule and splitting (359), into two cases.
% 70.17/32.26 |-Branch one:
% 70.17/32.26 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.17/32.26 |
% 70.17/32.26 | From (462) and (1242) follows:
% 70.17/32.26 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.26 |
% 70.17/32.26 | Using (133) and (1103) yields:
% 70.17/32.26 | (538) $false
% 70.17/32.26 |
% 70.17/32.26 |-The branch is then unsatisfiable
% 70.17/32.26 |-Branch two:
% 70.17/32.26 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.17/32.26 | (1693) all_34_1_45 = all_26_1_37
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (1188,1693) yields a new equation:
% 70.17/32.26 | (462) all_26_1_37 = 0
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (462,1693) yields a new equation:
% 70.17/32.26 | (1188) all_34_1_45 = 0
% 70.17/32.26 |
% 70.17/32.26 | From (462) and (1245) follows:
% 70.17/32.26 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.26 |
% 70.17/32.26 +-Applying beta-rule and splitting (389), into two cases.
% 70.17/32.26 |-Branch one:
% 70.17/32.26 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 70.17/32.26 |
% 70.17/32.26 | From (467) and (1117) follows:
% 70.17/32.26 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.26 |
% 70.17/32.26 | Using (133) and (1103) yields:
% 70.17/32.26 | (538) $false
% 70.17/32.26 |
% 70.17/32.26 |-The branch is then unsatisfiable
% 70.17/32.26 |-Branch two:
% 70.17/32.26 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 70.17/32.26 | (1701) all_44_1_55 = all_28_1_39
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (467,1701) yields a new equation:
% 70.17/32.26 | (1131) all_28_1_39 = 0
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (1131,1701) yields a new equation:
% 70.17/32.26 | (467) all_44_1_55 = 0
% 70.17/32.26 |
% 70.17/32.26 | From (467) and (1120) follows:
% 70.17/32.26 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.26 |
% 70.17/32.26 +-Applying beta-rule and splitting (411), into two cases.
% 70.17/32.26 |-Branch one:
% 70.17/32.26 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.17/32.26 |
% 70.17/32.26 | From (466) and (1183) follows:
% 70.17/32.26 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.26 |
% 70.17/32.26 | Using (133) and (1103) yields:
% 70.17/32.26 | (538) $false
% 70.17/32.26 |
% 70.17/32.26 |-The branch is then unsatisfiable
% 70.17/32.26 |-Branch two:
% 70.17/32.26 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.17/32.26 | (1709) all_42_1_53 = all_13_1_22
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (466,1709) yields a new equation:
% 70.17/32.26 | (1158) all_13_1_22 = 0
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (1158,1709) yields a new equation:
% 70.17/32.26 | (466) all_42_1_53 = 0
% 70.17/32.26 |
% 70.17/32.26 | From (466) and (1186) follows:
% 70.17/32.26 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.26 |
% 70.17/32.26 +-Applying beta-rule and splitting (328), into two cases.
% 70.17/32.26 |-Branch one:
% 70.17/32.26 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.17/32.26 |
% 70.17/32.26 | From (462) and (1242) follows:
% 70.17/32.26 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.26 |
% 70.17/32.26 | Using (133) and (1103) yields:
% 70.17/32.26 | (538) $false
% 70.17/32.26 |
% 70.17/32.26 |-The branch is then unsatisfiable
% 70.17/32.26 |-Branch two:
% 70.17/32.26 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.17/32.26 | (1717) all_46_1_57 = all_26_1_37
% 70.17/32.26 |
% 70.17/32.26 | Combining equations (322,1717) yields a new equation:
% 70.17/32.27 | (462) all_26_1_37 = 0
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (462,1717) yields a new equation:
% 70.17/32.27 | (322) all_46_1_57 = 0
% 70.17/32.27 |
% 70.17/32.27 | From (462) and (1245) follows:
% 70.17/32.27 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.27 |
% 70.17/32.27 +-Applying beta-rule and splitting (373), into two cases.
% 70.17/32.27 |-Branch one:
% 70.17/32.27 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 70.17/32.27 |
% 70.17/32.27 | From (458) and (1102) follows:
% 70.17/32.27 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.27 |
% 70.17/32.27 | Using (133) and (1103) yields:
% 70.17/32.27 | (538) $false
% 70.17/32.27 |
% 70.17/32.27 |-The branch is then unsatisfiable
% 70.17/32.27 |-Branch two:
% 70.17/32.27 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 70.17/32.27 | (1725) all_32_1_43 = all_17_1_26
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (1725,1331) yields a new equation:
% 70.17/32.27 | (1371) all_17_1_26 = 0
% 70.17/32.27 |
% 70.17/32.27 | Simplifying 1371 yields:
% 70.17/32.27 | (458) all_17_1_26 = 0
% 70.17/32.27 |
% 70.17/32.27 | From (458) and (1105) follows:
% 70.17/32.27 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.27 |
% 70.17/32.27 +-Applying beta-rule and splitting (361), into two cases.
% 70.17/32.27 |-Branch one:
% 70.17/32.27 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.17/32.27 |
% 70.17/32.27 | From (454) and (1169) follows:
% 70.17/32.27 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.27 |
% 70.17/32.27 | Using (133) and (1103) yields:
% 70.17/32.27 | (538) $false
% 70.17/32.27 |
% 70.17/32.27 |-The branch is then unsatisfiable
% 70.17/32.27 |-Branch two:
% 70.17/32.27 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.17/32.27 | (1733) all_34_1_45 = all_21_1_30
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (1188,1733) yields a new equation:
% 70.17/32.27 | (454) all_21_1_30 = 0
% 70.17/32.27 |
% 70.17/32.27 | From (454) and (1172) follows:
% 70.17/32.27 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.27 |
% 70.17/32.27 +-Applying beta-rule and splitting (278), into two cases.
% 70.17/32.27 |-Branch one:
% 70.17/32.27 | (1736) ~ (hd(all_0_9_9) = all_44_0_54)
% 70.17/32.27 |
% 70.17/32.27 | From (523) and (1736) follows:
% 70.17/32.27 | (1737) ~ (hd(all_0_9_9) = all_0_10_10)
% 70.17/32.27 |
% 70.17/32.27 | Using (570) and (1737) yields:
% 70.17/32.27 | (538) $false
% 70.17/32.27 |
% 70.17/32.27 |-The branch is then unsatisfiable
% 70.17/32.27 |-Branch two:
% 70.17/32.27 | (1739) hd(all_0_9_9) = all_44_0_54
% 70.17/32.27 | (1740) all_44_0_54 = all_40_0_50
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (523,1740) yields a new equation:
% 70.17/32.27 | (1741) all_40_0_50 = all_0_10_10
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (1741,1740) yields a new equation:
% 70.17/32.27 | (523) all_44_0_54 = all_0_10_10
% 70.17/32.27 |
% 70.17/32.27 | From (523) and (1739) follows:
% 70.17/32.27 | (570) hd(all_0_9_9) = all_0_10_10
% 70.17/32.27 |
% 70.17/32.27 +-Applying beta-rule and splitting (338), into two cases.
% 70.17/32.27 |-Branch one:
% 70.17/32.27 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.17/32.27 |
% 70.17/32.27 | From (462) and (1242) follows:
% 70.17/32.27 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.27 |
% 70.17/32.27 | Using (133) and (1103) yields:
% 70.17/32.27 | (538) $false
% 70.17/32.27 |
% 70.17/32.27 |-The branch is then unsatisfiable
% 70.17/32.27 |-Branch two:
% 70.17/32.27 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.17/32.27 | (1748) all_40_1_51 = all_26_1_37
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (433,1748) yields a new equation:
% 70.17/32.27 | (462) all_26_1_37 = 0
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (462,1748) yields a new equation:
% 70.17/32.27 | (433) all_40_1_51 = 0
% 70.17/32.27 |
% 70.17/32.27 | From (462) and (1245) follows:
% 70.17/32.27 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.27 |
% 70.17/32.27 +-Applying beta-rule and splitting (414), into two cases.
% 70.17/32.27 |-Branch one:
% 70.17/32.27 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 70.17/32.27 |
% 70.17/32.27 | From (445) and (1161) follows:
% 70.17/32.27 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.27 |
% 70.17/32.27 | Using (133) and (1103) yields:
% 70.17/32.27 | (538) $false
% 70.17/32.27 |
% 70.17/32.27 |-The branch is then unsatisfiable
% 70.17/32.27 |-Branch two:
% 70.17/32.27 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 70.17/32.27 | (1756) all_24_1_35 = all_13_1_22
% 70.17/32.27 |
% 70.17/32.27 | From (445) and (1164) follows:
% 70.17/32.27 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.27 |
% 70.17/32.27 +-Applying beta-rule and splitting (420), into two cases.
% 70.17/32.27 |-Branch one:
% 70.17/32.27 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 70.17/32.27 |
% 70.17/32.27 | From (467) and (1117) follows:
% 70.17/32.27 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.27 |
% 70.17/32.27 | Using (133) and (1103) yields:
% 70.17/32.27 | (538) $false
% 70.17/32.27 |
% 70.17/32.27 |-The branch is then unsatisfiable
% 70.17/32.27 |-Branch two:
% 70.17/32.27 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 70.17/32.27 | (1762) all_44_1_55 = all_11_1_20
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (467,1762) yields a new equation:
% 70.17/32.27 | (1339) all_11_1_20 = 0
% 70.17/32.27 |
% 70.17/32.27 | Combining equations (1339,1762) yields a new equation:
% 70.17/32.27 | (467) all_44_1_55 = 0
% 70.17/32.27 |
% 70.17/32.27 | From (467) and (1120) follows:
% 70.17/32.27 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.27 |
% 70.17/32.27 +-Applying beta-rule and splitting (391), into two cases.
% 70.17/32.27 |-Branch one:
% 70.17/32.27 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.17/32.27 |
% 70.17/32.27 | From (307) and (1191) follows:
% 70.17/32.27 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.27 |
% 70.17/32.27 | Using (133) and (1103) yields:
% 70.17/32.27 | (538) $false
% 70.17/32.27 |
% 70.17/32.27 |-The branch is then unsatisfiable
% 70.17/32.27 |-Branch two:
% 70.17/32.27 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.17/32.27 | (1770) all_36_1_47 = all_28_1_39
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (307,1770) yields a new equation:
% 70.17/32.28 | (1131) all_28_1_39 = 0
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (1131,1770) yields a new equation:
% 70.17/32.28 | (307) all_36_1_47 = 0
% 70.17/32.28 |
% 70.17/32.28 | From (307) and (1194) follows:
% 70.17/32.28 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.28 |
% 70.17/32.28 +-Applying beta-rule and splitting (318), into two cases.
% 70.17/32.28 |-Branch one:
% 70.17/32.28 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.17/32.28 |
% 70.17/32.28 | From (456) and (1226) follows:
% 70.17/32.28 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.28 |
% 70.17/32.28 | Using (133) and (1103) yields:
% 70.17/32.28 | (538) $false
% 70.17/32.28 |
% 70.17/32.28 |-The branch is then unsatisfiable
% 70.17/32.28 |-Branch two:
% 70.17/32.28 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.17/32.28 | (456) all_19_1_28 = 0
% 70.17/32.28 |
% 70.17/32.28 | From (456) and (1229) follows:
% 70.17/32.28 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.28 |
% 70.17/32.28 +-Applying beta-rule and splitting (347), into two cases.
% 70.17/32.28 |-Branch one:
% 70.17/32.28 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.17/32.28 |
% 70.17/32.28 | From (466) and (1183) follows:
% 70.17/32.28 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.28 |
% 70.17/32.28 | Using (133) and (1103) yields:
% 70.17/32.28 | (538) $false
% 70.17/32.28 |
% 70.17/32.28 |-The branch is then unsatisfiable
% 70.17/32.28 |-Branch two:
% 70.17/32.28 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.17/32.28 | (1784) all_42_1_53 = all_38_1_49
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (466,1784) yields a new equation:
% 70.17/32.28 | (465) all_38_1_49 = 0
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (465,1784) yields a new equation:
% 70.17/32.28 | (466) all_42_1_53 = 0
% 70.17/32.28 |
% 70.17/32.28 | From (466) and (1186) follows:
% 70.17/32.28 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.28 |
% 70.17/32.28 +-Applying beta-rule and splitting (326), into two cases.
% 70.17/32.28 |-Branch one:
% 70.17/32.28 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.17/32.28 |
% 70.17/32.28 | From (466) and (1183) follows:
% 70.17/32.28 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.28 |
% 70.17/32.28 | Using (133) and (1103) yields:
% 70.17/32.28 | (538) $false
% 70.17/32.28 |
% 70.17/32.28 |-The branch is then unsatisfiable
% 70.17/32.28 |-Branch two:
% 70.17/32.28 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.17/32.28 | (1792) all_46_1_57 = all_42_1_53
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (322,1792) yields a new equation:
% 70.17/32.28 | (466) all_42_1_53 = 0
% 70.17/32.28 |
% 70.17/32.28 | From (466) and (1186) follows:
% 70.17/32.28 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.28 |
% 70.17/32.28 +-Applying beta-rule and splitting (340), into two cases.
% 70.17/32.28 |-Branch one:
% 70.17/32.28 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.17/32.28 |
% 70.17/32.28 | From (454) and (1169) follows:
% 70.17/32.28 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.28 |
% 70.17/32.28 | Using (133) and (1103) yields:
% 70.17/32.28 | (538) $false
% 70.17/32.28 |
% 70.17/32.28 |-The branch is then unsatisfiable
% 70.17/32.28 |-Branch two:
% 70.17/32.28 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.17/32.28 | (1799) all_40_1_51 = all_21_1_30
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (433,1799) yields a new equation:
% 70.17/32.28 | (454) all_21_1_30 = 0
% 70.17/32.28 |
% 70.17/32.28 | From (454) and (1172) follows:
% 70.17/32.28 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.28 |
% 70.17/32.28 +-Applying beta-rule and splitting (346), into two cases.
% 70.17/32.28 |-Branch one:
% 70.17/32.28 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 70.17/32.28 |
% 70.17/32.28 | From (467) and (1117) follows:
% 70.17/32.28 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.28 |
% 70.17/32.28 | Using (133) and (1103) yields:
% 70.17/32.28 | (538) $false
% 70.17/32.28 |
% 70.17/32.28 |-The branch is then unsatisfiable
% 70.17/32.28 |-Branch two:
% 70.17/32.28 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 70.17/32.28 | (1806) all_44_1_55 = all_38_1_49
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (467,1806) yields a new equation:
% 70.17/32.28 | (465) all_38_1_49 = 0
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (465,1806) yields a new equation:
% 70.17/32.28 | (467) all_44_1_55 = 0
% 70.17/32.28 |
% 70.17/32.28 | From (467) and (1120) follows:
% 70.17/32.28 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.28 |
% 70.17/32.28 +-Applying beta-rule and splitting (308), into two cases.
% 70.17/32.28 |-Branch one:
% 70.17/32.28 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.17/32.28 |
% 70.17/32.28 | From (307) and (1191) follows:
% 70.17/32.28 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.28 |
% 70.17/32.28 | Using (133) and (1103) yields:
% 70.17/32.28 | (538) $false
% 70.17/32.28 |
% 70.17/32.28 |-The branch is then unsatisfiable
% 70.17/32.28 |-Branch two:
% 70.17/32.28 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.17/32.28 | (307) all_36_1_47 = 0
% 70.17/32.28 |
% 70.17/32.28 | From (307) and (1194) follows:
% 70.17/32.28 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.28 |
% 70.17/32.28 +-Applying beta-rule and splitting (348), into two cases.
% 70.17/32.28 |-Branch one:
% 70.17/32.28 | (1191) ~ (ssItem(all_0_10_10) = all_36_1_47)
% 70.17/32.28 |
% 70.17/32.28 | From (307) and (1191) follows:
% 70.17/32.28 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.28 |
% 70.17/32.28 | Using (133) and (1103) yields:
% 70.17/32.28 | (538) $false
% 70.17/32.28 |
% 70.17/32.28 |-The branch is then unsatisfiable
% 70.17/32.28 |-Branch two:
% 70.17/32.28 | (1194) ssItem(all_0_10_10) = all_36_1_47
% 70.17/32.28 | (1820) all_38_1_49 = all_36_1_47
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (465,1820) yields a new equation:
% 70.17/32.28 | (307) all_36_1_47 = 0
% 70.17/32.28 |
% 70.17/32.28 | Combining equations (307,1820) yields a new equation:
% 70.17/32.28 | (465) all_38_1_49 = 0
% 70.17/32.28 |
% 70.17/32.28 | From (307) and (1194) follows:
% 70.17/32.28 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.28 |
% 70.17/32.28 +-Applying beta-rule and splitting (336), into two cases.
% 70.17/32.28 |-Branch one:
% 70.17/32.28 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.17/32.28 |
% 70.17/32.28 | From (466) and (1183) follows:
% 70.17/32.29 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.29 |
% 70.17/32.29 | Using (133) and (1103) yields:
% 70.17/32.29 | (538) $false
% 70.17/32.29 |
% 70.17/32.29 |-The branch is then unsatisfiable
% 70.17/32.29 |-Branch two:
% 70.17/32.29 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.17/32.29 | (1828) all_42_1_53 = all_40_1_51
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (466,1828) yields a new equation:
% 70.17/32.29 | (433) all_40_1_51 = 0
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (433,1828) yields a new equation:
% 70.17/32.29 | (466) all_42_1_53 = 0
% 70.17/32.29 |
% 70.17/32.29 | From (466) and (1186) follows:
% 70.17/32.29 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.29 |
% 70.17/32.29 +-Applying beta-rule and splitting (377), into two cases.
% 70.17/32.29 |-Branch one:
% 70.17/32.29 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 70.17/32.29 |
% 70.17/32.29 | From (467) and (1117) follows:
% 70.17/32.29 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.29 |
% 70.17/32.29 | Using (133) and (1103) yields:
% 70.17/32.29 | (538) $false
% 70.17/32.29 |
% 70.17/32.29 |-The branch is then unsatisfiable
% 70.17/32.29 |-Branch two:
% 70.17/32.29 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 70.17/32.29 | (1836) all_44_1_55 = all_30_1_41
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (467,1836) yields a new equation:
% 70.17/32.29 | (440) all_30_1_41 = 0
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (440,1836) yields a new equation:
% 70.17/32.29 | (467) all_44_1_55 = 0
% 70.17/32.29 |
% 70.17/32.29 | From (467) and (1120) follows:
% 70.17/32.29 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.29 |
% 70.17/32.29 +-Applying beta-rule and splitting (376), into two cases.
% 70.17/32.29 |-Branch one:
% 70.17/32.29 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 70.17/32.29 |
% 70.17/32.29 | From (468) and (1177) follows:
% 70.17/32.29 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.29 |
% 70.17/32.29 | Using (133) and (1103) yields:
% 70.17/32.29 | (538) $false
% 70.17/32.29 |
% 70.17/32.29 |-The branch is then unsatisfiable
% 70.17/32.29 |-Branch two:
% 70.17/32.29 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 70.17/32.29 | (1844) all_48_1_59 = all_30_1_41
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (468,1844) yields a new equation:
% 70.17/32.29 | (440) all_30_1_41 = 0
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (440,1844) yields a new equation:
% 70.17/32.29 | (468) all_48_1_59 = 0
% 70.17/32.29 |
% 70.17/32.29 | From (468) and (1180) follows:
% 70.17/32.29 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.29 |
% 70.17/32.29 +-Applying beta-rule and splitting (426), into two cases.
% 70.17/32.29 |-Branch one:
% 70.17/32.29 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.17/32.29 |
% 70.17/32.29 | From (456) and (1226) follows:
% 70.17/32.29 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.29 |
% 70.17/32.29 | Using (133) and (1103) yields:
% 70.17/32.29 | (538) $false
% 70.17/32.29 |
% 70.17/32.29 |-The branch is then unsatisfiable
% 70.17/32.29 |-Branch two:
% 70.17/32.29 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.17/32.29 | (1852) all_19_1_28 = all_11_1_20
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (456,1852) yields a new equation:
% 70.17/32.29 | (1339) all_11_1_20 = 0
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (1339,1852) yields a new equation:
% 70.17/32.29 | (456) all_19_1_28 = 0
% 70.17/32.29 |
% 70.17/32.29 | From (456) and (1229) follows:
% 70.17/32.29 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.29 |
% 70.17/32.29 +-Applying beta-rule and splitting (371), into two cases.
% 70.17/32.29 |-Branch one:
% 70.17/32.29 | (1169) ~ (ssItem(all_0_10_10) = all_21_1_30)
% 70.17/32.29 |
% 70.17/32.29 | From (454) and (1169) follows:
% 70.17/32.29 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.29 |
% 70.17/32.29 | Using (133) and (1103) yields:
% 70.17/32.29 | (538) $false
% 70.17/32.29 |
% 70.17/32.29 |-The branch is then unsatisfiable
% 70.17/32.29 |-Branch two:
% 70.17/32.29 | (1172) ssItem(all_0_10_10) = all_21_1_30
% 70.17/32.29 | (1860) all_32_1_43 = all_21_1_30
% 70.17/32.29 |
% 70.17/32.29 | Combining equations (1331,1860) yields a new equation:
% 70.17/32.29 | (454) all_21_1_30 = 0
% 70.17/32.29 |
% 70.17/32.29 | From (454) and (1172) follows:
% 70.17/32.29 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.29 |
% 70.17/32.29 +-Applying beta-rule and splitting (421), into two cases.
% 70.17/32.29 |-Branch one:
% 70.17/32.29 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.17/32.29 |
% 70.17/32.29 | From (466) and (1183) follows:
% 70.17/32.29 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.29 |
% 70.17/32.29 | Using (133) and (1103) yields:
% 70.17/32.29 | (538) $false
% 70.17/32.29 |
% 70.17/32.29 |-The branch is then unsatisfiable
% 70.17/32.29 |-Branch two:
% 70.17/32.29 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.17/32.29 | (1867) all_42_1_53 = all_11_1_20
% 70.17/32.29 |
% 70.17/32.29 | From (466) and (1186) follows:
% 70.17/32.29 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.29 |
% 70.17/32.29 +-Applying beta-rule and splitting (399), into two cases.
% 70.17/32.29 |-Branch one:
% 70.17/32.29 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 70.17/32.29 |
% 70.17/32.29 | From (467) and (1117) follows:
% 70.17/32.29 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.29 |
% 70.17/32.29 | Using (133) and (1103) yields:
% 70.17/32.29 | (538) $false
% 70.17/32.29 |
% 70.17/32.29 |-The branch is then unsatisfiable
% 70.17/32.29 |-Branch two:
% 70.17/32.29 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 70.17/32.29 | (1873) all_44_1_55 = all_15_1_24
% 70.17/32.29 |
% 70.17/32.29 | From (467) and (1120) follows:
% 70.17/32.29 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.29 |
% 70.17/32.30 +-Applying beta-rule and splitting (349), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.17/32.30 |
% 70.17/32.30 | From (462) and (1242) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.17/32.30 | (1879) all_38_1_49 = all_26_1_37
% 70.17/32.30 |
% 70.17/32.30 | Combining equations (465,1879) yields a new equation:
% 70.17/32.30 | (462) all_26_1_37 = 0
% 70.17/32.30 |
% 70.17/32.30 | From (462) and (1245) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (366), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1117) ~ (ssItem(all_0_10_10) = all_44_1_55)
% 70.17/32.30 |
% 70.17/32.30 | From (467) and (1117) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1120) ssItem(all_0_10_10) = all_44_1_55
% 70.17/32.30 | (1886) all_44_1_55 = all_32_1_43
% 70.17/32.30 |
% 70.17/32.30 | From (467) and (1120) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (427), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1102) ~ (ssItem(all_0_10_10) = all_17_1_26)
% 70.17/32.30 |
% 70.17/32.30 | From (458) and (1102) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1105) ssItem(all_0_10_10) = all_17_1_26
% 70.17/32.30 | (1892) all_17_1_26 = all_11_1_20
% 70.17/32.30 |
% 70.17/32.30 | From (458) and (1105) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (277), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1894) ~ (tl(all_0_9_9) = all_21_0_29)
% 70.17/32.30 |
% 70.17/32.30 | From (482) and (1894) follows:
% 70.17/32.30 | (1895) ~ (tl(all_0_9_9) = nil)
% 70.17/32.30 |
% 70.17/32.30 | Using (585) and (1895) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1897) tl(all_0_9_9) = all_21_0_29
% 70.17/32.30 | (1898) all_46_0_56 = all_21_0_29
% 70.17/32.30 |
% 70.17/32.30 | Combining equations (584,1898) yields a new equation:
% 70.17/32.30 | (482) all_21_0_29 = nil
% 70.17/32.30 |
% 70.17/32.30 | From (482) and (1897) follows:
% 70.17/32.30 | (585) tl(all_0_9_9) = nil
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (339), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1161) ~ (ssItem(all_0_10_10) = all_24_1_35)
% 70.17/32.30 |
% 70.17/32.30 | From (445) and (1161) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1164) ssItem(all_0_10_10) = all_24_1_35
% 70.17/32.30 | (1905) all_40_1_51 = all_24_1_35
% 70.17/32.30 |
% 70.17/32.30 | Combining equations (1905,433) yields a new equation:
% 70.17/32.30 | (1906) all_24_1_35 = 0
% 70.17/32.30 |
% 70.17/32.30 | Simplifying 1906 yields:
% 70.17/32.30 | (445) all_24_1_35 = 0
% 70.17/32.30 |
% 70.17/32.30 | From (445) and (1164) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (341), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1226) ~ (ssItem(all_0_10_10) = all_19_1_28)
% 70.17/32.30 |
% 70.17/32.30 | From (456) and (1226) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1229) ssItem(all_0_10_10) = all_19_1_28
% 70.17/32.30 | (1913) all_40_1_51 = all_19_1_28
% 70.17/32.30 |
% 70.17/32.30 | Combining equations (1913,433) yields a new equation:
% 70.17/32.30 | (1914) all_19_1_28 = 0
% 70.17/32.30 |
% 70.17/32.30 | Simplifying 1914 yields:
% 70.17/32.30 | (456) all_19_1_28 = 0
% 70.17/32.30 |
% 70.17/32.30 | From (456) and (1229) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (402), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1242) ~ (ssItem(all_0_10_10) = all_26_1_37)
% 70.17/32.30 |
% 70.17/32.30 | From (462) and (1242) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1245) ssItem(all_0_10_10) = all_26_1_37
% 70.17/32.30 | (1921) all_26_1_37 = all_15_1_24
% 70.17/32.30 |
% 70.17/32.30 | From (462) and (1245) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (400), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.17/32.30 |
% 70.17/32.30 | From (466) and (1183) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.17/32.30 | (1927) all_42_1_53 = all_15_1_24
% 70.17/32.30 |
% 70.17/32.30 | From (466) and (1186) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (367), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1183) ~ (ssItem(all_0_10_10) = all_42_1_53)
% 70.17/32.30 |
% 70.17/32.30 | From (466) and (1183) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1186) ssItem(all_0_10_10) = all_42_1_53
% 70.17/32.30 | (1933) all_42_1_53 = all_32_1_43
% 70.17/32.30 |
% 70.17/32.30 | Combining equations (466,1933) yields a new equation:
% 70.17/32.30 | (1331) all_32_1_43 = 0
% 70.17/32.30 |
% 70.17/32.30 | Combining equations (1331,1933) yields a new equation:
% 70.17/32.30 | (466) all_42_1_53 = 0
% 70.17/32.30 |
% 70.17/32.30 | From (466) and (1186) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 +-Applying beta-rule and splitting (345), into two cases.
% 70.17/32.30 |-Branch one:
% 70.17/32.30 | (1177) ~ (ssItem(all_0_10_10) = all_48_1_59)
% 70.17/32.30 |
% 70.17/32.30 | From (468) and (1177) follows:
% 70.17/32.30 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Using (133) and (1103) yields:
% 70.17/32.30 | (538) $false
% 70.17/32.30 |
% 70.17/32.30 |-The branch is then unsatisfiable
% 70.17/32.30 |-Branch two:
% 70.17/32.30 | (1180) ssItem(all_0_10_10) = all_48_1_59
% 70.17/32.30 | (1941) all_48_1_59 = all_38_1_49
% 70.17/32.30 |
% 70.17/32.30 | From (468) and (1180) follows:
% 70.17/32.30 | (133) ssItem(all_0_10_10) = 0
% 70.17/32.30 |
% 70.17/32.30 | Instantiating formula (16) with nil, all_0_12_12 and discharging atoms tl(all_0_12_12) = nil, yields:
% 70.17/32.30 | (1943) ? [v0] : ? [v1] : (hd(all_0_12_12) = v1 & ssList(all_0_12_12) = v0 & ( ~ (v0 = 0) | ! [v2] : (v2 = all_0_12_12 | v2 = nil | all_0_12_12 = nil | ~ (tl(v2) = nil) | ? [v3] : ? [v4] : (hd(v2) = v4 & ssList(v2) = v3 & ( ~ (v4 = v1) | ~ (v3 = 0))))))
% 70.17/32.30 |
% 70.17/32.30 | Instantiating formula (113) with all_330_1_109 and discharging atoms ssList(all_330_1_109) = 0, yields:
% 70.17/32.30 | (1944) all_330_1_109 = nil | ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_330_1_109 & ssItem(v1) = 0)
% 70.17/32.30 |
% 70.17/32.30 | Instantiating formula (77) with all_23_2_33, all_0_12_12, all_330_0_108, nil, all_330_1_109 and discharging atoms ssList(all_330_1_109) = 0, ssList(nil) = 0, cons(all_330_0_108, all_330_1_109) = all_0_12_12, cons(all_23_2_33, nil) = all_0_12_12, yields:
% 70.55/32.30 | (1945) all_330_1_109 = nil | ? [v0] : (( ~ (v0 = 0) & ssItem(all_330_0_108) = v0) | ( ~ (v0 = 0) & ssItem(all_23_2_33) = v0))
% 70.55/32.30 |
% 70.55/32.30 | Instantiating formula (152) with all_0_12_12, all_330_0_108, all_330_1_109 and discharging atoms ssList(all_330_1_109) = 0, cons(all_330_0_108, all_330_1_109) = all_0_12_12, yields:
% 70.55/32.30 | (1946) ? [v0] : ? [v1] : (tl(all_0_12_12) = v1 & ssItem(all_330_0_108) = v0 & ( ~ (v0 = 0) | v1 = all_330_1_109))
% 70.55/32.30 |
% 70.55/32.30 | Instantiating formula (131) with all_0_12_12, all_330_0_108, all_330_1_109 and discharging atoms ssList(all_330_1_109) = 0, cons(all_330_0_108, all_330_1_109) = all_0_12_12, yields:
% 70.55/32.30 | (1947) ? [v0] : ? [v1] : (hd(all_0_12_12) = v1 & ssItem(all_330_0_108) = v0 & ( ~ (v0 = 0) | v1 = all_330_0_108))
% 70.55/32.30 |
% 70.55/32.30 | Instantiating formula (152) with all_0_9_9, all_239_0_100, all_239_1_101 and discharging atoms ssList(all_239_1_101) = 0, cons(all_239_0_100, all_239_1_101) = all_0_9_9, yields:
% 70.55/32.30 | (1948) ? [v0] : ? [v1] : (tl(all_0_9_9) = v1 & ssItem(all_239_0_100) = v0 & ( ~ (v0 = 0) | v1 = all_239_1_101))
% 70.55/32.30 |
% 70.55/32.30 | Instantiating formula (131) with all_0_9_9, all_239_0_100, all_239_1_101 and discharging atoms ssList(all_239_1_101) = 0, cons(all_239_0_100, all_239_1_101) = all_0_9_9, yields:
% 70.55/32.30 | (1949) ? [v0] : ? [v1] : (hd(all_0_9_9) = v1 & ssItem(all_239_0_100) = v0 & ( ~ (v0 = 0) | v1 = all_239_0_100))
% 70.55/32.30 |
% 70.55/32.30 | Instantiating formula (116) with all_10_1_17, all_0_9_9, all_239_0_100, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, app(all_0_9_9, all_0_9_9) = all_10_1_17, yields:
% 70.55/32.30 | (1950) ~ (cons(all_239_0_100, nil) = all_0_9_9) | ? [v0] : ? [v1] : (cons(all_239_0_100, all_0_9_9) = v1 & ssItem(all_239_0_100) = v0 & ( ~ (v0 = 0) | v1 = all_10_1_17))
% 70.55/32.30 |
% 70.55/32.30 | Instantiating formula (152) with all_10_1_17, all_0_10_10, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, cons(all_0_10_10, all_0_9_9) = all_10_1_17, yields:
% 70.55/32.30 | (1951) ? [v0] : ? [v1] : (tl(all_10_1_17) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_0_9_9))
% 70.55/32.30 |
% 70.55/32.30 | Instantiating formula (62) with all_203_1_71, all_0_2_2, all_10_1_17, all_0_9_9, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, app(all_10_1_17, all_0_2_2) = all_203_1_71, app(all_0_9_9, all_0_9_9) = all_10_1_17, yields:
% 70.55/32.31 | (1952) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (ssList(all_0_2_2) = v0 & app(all_0_9_9, v1) = v2 & app(all_0_9_9, all_0_2_2) = v1 & ( ~ (v0 = 0) | v2 = all_203_1_71)))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating formula (87) with all_203_1_71, all_0_2_2, all_10_1_17 and discharging atoms ssList(all_10_1_17) = 0, app(all_10_1_17, all_0_2_2) = all_203_1_71, yields:
% 70.55/32.31 | (1953) ? [v0] : ? [v1] : (ssList(all_203_1_71) = v1 & ssList(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating formula (36) with all_203_1_71, all_0_2_2, all_0_10_10, all_10_1_17 and discharging atoms hd(all_10_1_17) = all_0_10_10, app(all_10_1_17, all_0_2_2) = all_203_1_71, yields:
% 70.55/32.31 | (1954) all_10_1_17 = nil | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_10_1_17) = v0) | (hd(all_203_1_71) = v1 & ssList(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10)))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating formula (87) with all_0_12_12, all_224_1_94, all_0_4_4 and discharging atoms ssList(all_0_4_4) = 0, app(all_0_4_4, all_224_1_94) = all_0_12_12, yields:
% 70.55/32.31 | (1955) ? [v0] : ? [v1] : (ssList(all_224_1_94) = v0 & ssList(all_0_12_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating formula (87) with all_0_12_12, all_203_1_71, all_0_5_5 and discharging atoms ssList(all_0_5_5) = 0, app(all_0_5_5, all_203_1_71) = all_0_12_12, yields:
% 70.55/32.31 | (1956) ? [v0] : ? [v1] : (ssList(all_203_1_71) = v0 & ssList(all_0_12_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating formula (116) with all_224_1_94, all_0_9_9, all_0_10_10, all_0_2_2 and discharging atoms ssList(all_0_2_2) = 0, cons(all_0_10_10, nil) = all_0_9_9, app(all_0_9_9, all_0_2_2) = all_224_1_94, yields:
% 70.55/32.31 | (1957) ? [v0] : ? [v1] : (cons(all_0_10_10, all_0_2_2) = v1 & ssItem(all_0_10_10) = v0 & ( ~ (v0 = 0) | v1 = all_224_1_94))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating formula (87) with all_224_1_94, all_0_2_2, all_0_9_9 and discharging atoms ssList(all_0_9_9) = 0, app(all_0_9_9, all_0_2_2) = all_224_1_94, yields:
% 70.55/32.31 | (1958) ? [v0] : ? [v1] : (ssList(all_224_1_94) = v1 & ssList(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating formula (36) with all_224_1_94, all_0_2_2, all_0_10_10, all_0_9_9 and discharging atoms hd(all_0_9_9) = all_0_10_10, app(all_0_9_9, all_0_2_2) = all_224_1_94, yields:
% 70.55/32.31 | (1959) all_0_9_9 = nil | ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (hd(all_224_1_94) = v1 & ssList(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10)))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1958) with all_1479_0_274, all_1479_1_275 yields:
% 70.55/32.31 | (1960) ssList(all_224_1_94) = all_1479_0_274 & ssList(all_0_2_2) = all_1479_1_275 & ( ~ (all_1479_1_275 = 0) | all_1479_0_274 = 0)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1960) yields:
% 70.55/32.31 | (1961) ssList(all_224_1_94) = all_1479_0_274
% 70.55/32.31 | (1962) ssList(all_0_2_2) = all_1479_1_275
% 70.55/32.31 | (1963) ~ (all_1479_1_275 = 0) | all_1479_0_274 = 0
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1957) with all_1481_0_276, all_1481_1_277 yields:
% 70.55/32.31 | (1964) cons(all_0_10_10, all_0_2_2) = all_1481_0_276 & ssItem(all_0_10_10) = all_1481_1_277 & ( ~ (all_1481_1_277 = 0) | all_1481_0_276 = all_224_1_94)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1964) yields:
% 70.55/32.31 | (1965) cons(all_0_10_10, all_0_2_2) = all_1481_0_276
% 70.55/32.31 | (1966) ssItem(all_0_10_10) = all_1481_1_277
% 70.55/32.31 | (1967) ~ (all_1481_1_277 = 0) | all_1481_0_276 = all_224_1_94
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1943) with all_1497_0_292, all_1497_1_293 yields:
% 70.55/32.31 | (1968) hd(all_0_12_12) = all_1497_0_292 & ssList(all_0_12_12) = all_1497_1_293 & ( ~ (all_1497_1_293 = 0) | ! [v0] : (v0 = all_0_12_12 | v0 = nil | all_0_12_12 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_1497_0_292) | ~ (v1 = 0)))))
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1968) yields:
% 70.55/32.31 | (1969) hd(all_0_12_12) = all_1497_0_292
% 70.55/32.31 | (1970) ssList(all_0_12_12) = all_1497_1_293
% 70.55/32.31 | (1971) ~ (all_1497_1_293 = 0) | ! [v0] : (v0 = all_0_12_12 | v0 = nil | all_0_12_12 = nil | ~ (tl(v0) = nil) | ? [v1] : ? [v2] : (hd(v0) = v2 & ssList(v0) = v1 & ( ~ (v2 = all_1497_0_292) | ~ (v1 = 0))))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1947) with all_1501_0_296, all_1501_1_297 yields:
% 70.55/32.31 | (1972) hd(all_0_12_12) = all_1501_0_296 & ssItem(all_330_0_108) = all_1501_1_297 & ( ~ (all_1501_1_297 = 0) | all_1501_0_296 = all_330_0_108)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1972) yields:
% 70.55/32.31 | (1973) hd(all_0_12_12) = all_1501_0_296
% 70.55/32.31 | (1974) ssItem(all_330_0_108) = all_1501_1_297
% 70.55/32.31 | (1975) ~ (all_1501_1_297 = 0) | all_1501_0_296 = all_330_0_108
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1946) with all_1503_0_298, all_1503_1_299 yields:
% 70.55/32.31 | (1976) tl(all_0_12_12) = all_1503_0_298 & ssItem(all_330_0_108) = all_1503_1_299 & ( ~ (all_1503_1_299 = 0) | all_1503_0_298 = all_330_1_109)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1976) yields:
% 70.55/32.31 | (1977) tl(all_0_12_12) = all_1503_0_298
% 70.55/32.31 | (1978) ssItem(all_330_0_108) = all_1503_1_299
% 70.55/32.31 | (1979) ~ (all_1503_1_299 = 0) | all_1503_0_298 = all_330_1_109
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1956) with all_1505_0_300, all_1505_1_301 yields:
% 70.55/32.31 | (1980) ssList(all_203_1_71) = all_1505_1_301 & ssList(all_0_12_12) = all_1505_0_300 & ( ~ (all_1505_1_301 = 0) | all_1505_0_300 = 0)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1980) yields:
% 70.55/32.31 | (1981) ssList(all_203_1_71) = all_1505_1_301
% 70.55/32.31 | (1982) ssList(all_0_12_12) = all_1505_0_300
% 70.55/32.31 | (1983) ~ (all_1505_1_301 = 0) | all_1505_0_300 = 0
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1953) with all_1507_0_302, all_1507_1_303 yields:
% 70.55/32.31 | (1984) ssList(all_203_1_71) = all_1507_0_302 & ssList(all_0_2_2) = all_1507_1_303 & ( ~ (all_1507_1_303 = 0) | all_1507_0_302 = 0)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1984) yields:
% 70.55/32.31 | (1985) ssList(all_203_1_71) = all_1507_0_302
% 70.55/32.31 | (1986) ssList(all_0_2_2) = all_1507_1_303
% 70.55/32.31 | (1987) ~ (all_1507_1_303 = 0) | all_1507_0_302 = 0
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1952) with all_1509_0_304, all_1509_1_305, all_1509_2_306 yields:
% 70.55/32.31 | (1988) ( ~ (all_1509_2_306 = 0) & ssList(all_0_9_9) = all_1509_2_306) | (ssList(all_0_2_2) = all_1509_2_306 & app(all_0_9_9, all_1509_1_305) = all_1509_0_304 & app(all_0_9_9, all_0_2_2) = all_1509_1_305 & ( ~ (all_1509_2_306 = 0) | all_1509_0_304 = all_203_1_71))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1955) with all_1510_0_307, all_1510_1_308 yields:
% 70.55/32.31 | (1989) ssList(all_224_1_94) = all_1510_1_308 & ssList(all_0_12_12) = all_1510_0_307 & ( ~ (all_1510_1_308 = 0) | all_1510_0_307 = 0)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1989) yields:
% 70.55/32.31 | (1990) ssList(all_224_1_94) = all_1510_1_308
% 70.55/32.31 | (1991) ssList(all_0_12_12) = all_1510_0_307
% 70.55/32.31 | (1992) ~ (all_1510_1_308 = 0) | all_1510_0_307 = 0
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1951) with all_1513_0_312, all_1513_1_313 yields:
% 70.55/32.31 | (1993) tl(all_10_1_17) = all_1513_0_312 & ssItem(all_0_10_10) = all_1513_1_313 & ( ~ (all_1513_1_313 = 0) | all_1513_0_312 = all_0_9_9)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1993) yields:
% 70.55/32.31 | (1994) tl(all_10_1_17) = all_1513_0_312
% 70.55/32.31 | (1995) ssItem(all_0_10_10) = all_1513_1_313
% 70.55/32.31 | (1996) ~ (all_1513_1_313 = 0) | all_1513_0_312 = all_0_9_9
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1949) with all_1515_0_314, all_1515_1_315 yields:
% 70.55/32.31 | (1997) hd(all_0_9_9) = all_1515_0_314 & ssItem(all_239_0_100) = all_1515_1_315 & ( ~ (all_1515_1_315 = 0) | all_1515_0_314 = all_239_0_100)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (1997) yields:
% 70.55/32.31 | (1998) hd(all_0_9_9) = all_1515_0_314
% 70.55/32.31 | (1999) ssItem(all_239_0_100) = all_1515_1_315
% 70.55/32.31 | (2000) ~ (all_1515_1_315 = 0) | all_1515_0_314 = all_239_0_100
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (1948) with all_1517_0_316, all_1517_1_317 yields:
% 70.55/32.31 | (2001) tl(all_0_9_9) = all_1517_0_316 & ssItem(all_239_0_100) = all_1517_1_317 & ( ~ (all_1517_1_317 = 0) | all_1517_0_316 = all_239_1_101)
% 70.55/32.31 |
% 70.55/32.31 | Applying alpha-rule on (2001) yields:
% 70.55/32.31 | (2002) tl(all_0_9_9) = all_1517_0_316
% 70.55/32.31 | (2003) ssItem(all_239_0_100) = all_1517_1_317
% 70.55/32.31 | (2004) ~ (all_1517_1_317 = 0) | all_1517_0_316 = all_239_1_101
% 70.55/32.31 |
% 70.55/32.31 +-Applying beta-rule and splitting (1954), into two cases.
% 70.55/32.31 |-Branch one:
% 70.55/32.31 | (2005) all_10_1_17 = nil
% 70.55/32.31 |
% 70.55/32.31 | Equations (2005) can reduce 956 to:
% 70.55/32.31 | (472) $false
% 70.55/32.31 |
% 70.55/32.31 |-The branch is then unsatisfiable
% 70.55/32.31 |-Branch two:
% 70.55/32.31 | (956) ~ (all_10_1_17 = nil)
% 70.55/32.31 | (2008) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_10_1_17) = v0) | (hd(all_203_1_71) = v1 & ssList(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10)))
% 70.55/32.31 |
% 70.55/32.31 | Instantiating (2008) with all_1538_0_328, all_1538_1_329 yields:
% 70.55/32.31 | (2009) ( ~ (all_1538_1_329 = 0) & ssList(all_10_1_17) = all_1538_1_329) | (hd(all_203_1_71) = all_1538_0_328 & ssList(all_0_2_2) = all_1538_1_329 & ( ~ (all_1538_1_329 = 0) | all_1538_0_328 = all_0_10_10))
% 70.55/32.32 |
% 70.55/32.32 +-Applying beta-rule and splitting (1959), into two cases.
% 70.55/32.32 |-Branch one:
% 70.55/32.32 | (703) all_0_9_9 = nil
% 70.55/32.32 |
% 70.55/32.32 | Equations (703) can reduce 612 to:
% 70.55/32.32 | (472) $false
% 70.55/32.32 |
% 70.55/32.32 |-The branch is then unsatisfiable
% 70.55/32.32 |-Branch two:
% 70.55/32.32 | (612) ~ (all_0_9_9 = nil)
% 70.55/32.32 | (2013) ? [v0] : ? [v1] : (( ~ (v0 = 0) & ssList(all_0_9_9) = v0) | (hd(all_224_1_94) = v1 & ssList(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = all_0_10_10)))
% 70.55/32.32 |
% 70.55/32.32 | Instantiating (2013) with all_1542_0_330, all_1542_1_331 yields:
% 70.55/32.32 | (2014) ( ~ (all_1542_1_331 = 0) & ssList(all_0_9_9) = all_1542_1_331) | (hd(all_224_1_94) = all_1542_0_330 & ssList(all_0_2_2) = all_1542_1_331 & ( ~ (all_1542_1_331 = 0) | all_1542_0_330 = all_0_10_10))
% 70.55/32.32 |
% 70.55/32.32 +-Applying beta-rule and splitting (2014), into two cases.
% 70.55/32.32 |-Branch one:
% 70.55/32.32 | (2015) ~ (all_1542_1_331 = 0) & ssList(all_0_9_9) = all_1542_1_331
% 70.55/32.32 |
% 70.55/32.32 | Applying alpha-rule on (2015) yields:
% 70.55/32.32 | (2016) ~ (all_1542_1_331 = 0)
% 70.55/32.32 | (2017) ssList(all_0_9_9) = all_1542_1_331
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_9_9, all_1542_1_331, 0 and discharging atoms ssList(all_0_9_9) = all_1542_1_331, ssList(all_0_9_9) = 0, yields:
% 70.55/32.32 | (2018) all_1542_1_331 = 0
% 70.55/32.32 |
% 70.55/32.32 | Equations (2018) can reduce 2016 to:
% 70.55/32.32 | (472) $false
% 70.55/32.32 |
% 70.55/32.32 |-The branch is then unsatisfiable
% 70.55/32.32 |-Branch two:
% 70.55/32.32 | (2020) hd(all_224_1_94) = all_1542_0_330 & ssList(all_0_2_2) = all_1542_1_331 & ( ~ (all_1542_1_331 = 0) | all_1542_0_330 = all_0_10_10)
% 70.55/32.32 |
% 70.55/32.32 | Applying alpha-rule on (2020) yields:
% 70.55/32.32 | (2021) hd(all_224_1_94) = all_1542_0_330
% 70.55/32.32 | (2022) ssList(all_0_2_2) = all_1542_1_331
% 70.55/32.32 | (2023) ~ (all_1542_1_331 = 0) | all_1542_0_330 = all_0_10_10
% 70.55/32.32 |
% 70.55/32.32 +-Applying beta-rule and splitting (1988), into two cases.
% 70.55/32.32 |-Branch one:
% 70.55/32.32 | (2024) ~ (all_1509_2_306 = 0) & ssList(all_0_9_9) = all_1509_2_306
% 70.55/32.32 |
% 70.55/32.32 | Applying alpha-rule on (2024) yields:
% 70.55/32.32 | (2025) ~ (all_1509_2_306 = 0)
% 70.55/32.32 | (2026) ssList(all_0_9_9) = all_1509_2_306
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_9_9, all_1509_2_306, 0 and discharging atoms ssList(all_0_9_9) = all_1509_2_306, ssList(all_0_9_9) = 0, yields:
% 70.55/32.32 | (2027) all_1509_2_306 = 0
% 70.55/32.32 |
% 70.55/32.32 | Equations (2027) can reduce 2025 to:
% 70.55/32.32 | (472) $false
% 70.55/32.32 |
% 70.55/32.32 |-The branch is then unsatisfiable
% 70.55/32.32 |-Branch two:
% 70.55/32.32 | (2029) ssList(all_0_2_2) = all_1509_2_306 & app(all_0_9_9, all_1509_1_305) = all_1509_0_304 & app(all_0_9_9, all_0_2_2) = all_1509_1_305 & ( ~ (all_1509_2_306 = 0) | all_1509_0_304 = all_203_1_71)
% 70.55/32.32 |
% 70.55/32.32 | Applying alpha-rule on (2029) yields:
% 70.55/32.32 | (2030) ssList(all_0_2_2) = all_1509_2_306
% 70.55/32.32 | (2031) app(all_0_9_9, all_1509_1_305) = all_1509_0_304
% 70.55/32.32 | (2032) app(all_0_9_9, all_0_2_2) = all_1509_1_305
% 70.55/32.32 | (2033) ~ (all_1509_2_306 = 0) | all_1509_0_304 = all_203_1_71
% 70.55/32.32 |
% 70.55/32.32 +-Applying beta-rule and splitting (2009), into two cases.
% 70.55/32.32 |-Branch one:
% 70.55/32.32 | (2034) ~ (all_1538_1_329 = 0) & ssList(all_10_1_17) = all_1538_1_329
% 70.55/32.32 |
% 70.55/32.32 | Applying alpha-rule on (2034) yields:
% 70.55/32.32 | (2035) ~ (all_1538_1_329 = 0)
% 70.55/32.32 | (2036) ssList(all_10_1_17) = all_1538_1_329
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_10_1_17, all_1538_1_329, 0 and discharging atoms ssList(all_10_1_17) = all_1538_1_329, ssList(all_10_1_17) = 0, yields:
% 70.55/32.32 | (2037) all_1538_1_329 = 0
% 70.55/32.32 |
% 70.55/32.32 | Equations (2037) can reduce 2035 to:
% 70.55/32.32 | (472) $false
% 70.55/32.32 |
% 70.55/32.32 |-The branch is then unsatisfiable
% 70.55/32.32 |-Branch two:
% 70.55/32.32 | (2039) hd(all_203_1_71) = all_1538_0_328 & ssList(all_0_2_2) = all_1538_1_329 & ( ~ (all_1538_1_329 = 0) | all_1538_0_328 = all_0_10_10)
% 70.55/32.32 |
% 70.55/32.32 | Applying alpha-rule on (2039) yields:
% 70.55/32.32 | (2040) hd(all_203_1_71) = all_1538_0_328
% 70.55/32.32 | (2041) ssList(all_0_2_2) = all_1538_1_329
% 70.55/32.32 | (2042) ~ (all_1538_1_329 = 0) | all_1538_0_328 = all_0_10_10
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (66) with all_0_9_9, all_1517_0_316, nil and discharging atoms tl(all_0_9_9) = all_1517_0_316, tl(all_0_9_9) = nil, yields:
% 70.55/32.32 | (2043) all_1517_0_316 = nil
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (66) with all_0_12_12, all_1503_0_298, nil and discharging atoms tl(all_0_12_12) = all_1503_0_298, tl(all_0_12_12) = nil, yields:
% 70.55/32.32 | (2044) all_1503_0_298 = nil
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (146) with all_0_9_9, all_1515_0_314, all_0_10_10 and discharging atoms hd(all_0_9_9) = all_1515_0_314, hd(all_0_9_9) = all_0_10_10, yields:
% 70.55/32.32 | (2045) all_1515_0_314 = all_0_10_10
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_2_2, all_1509_2_306, 0 and discharging atoms ssList(all_0_2_2) = all_1509_2_306, ssList(all_0_2_2) = 0, yields:
% 70.55/32.32 | (2027) all_1509_2_306 = 0
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_2_2, all_1509_2_306, all_1542_1_331 and discharging atoms ssList(all_0_2_2) = all_1542_1_331, ssList(all_0_2_2) = all_1509_2_306, yields:
% 70.55/32.32 | (2047) all_1542_1_331 = all_1509_2_306
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_2_2, all_1509_2_306, all_1538_1_329 and discharging atoms ssList(all_0_2_2) = all_1538_1_329, ssList(all_0_2_2) = all_1509_2_306, yields:
% 70.55/32.32 | (2048) all_1538_1_329 = all_1509_2_306
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_2_2, all_1507_1_303, all_1538_1_329 and discharging atoms ssList(all_0_2_2) = all_1538_1_329, ssList(all_0_2_2) = all_1507_1_303, yields:
% 70.55/32.32 | (2049) all_1538_1_329 = all_1507_1_303
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_2_2, all_1479_1_275, all_1542_1_331 and discharging atoms ssList(all_0_2_2) = all_1542_1_331, ssList(all_0_2_2) = all_1479_1_275, yields:
% 70.55/32.32 | (2050) all_1542_1_331 = all_1479_1_275
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_12_12, all_1505_0_300, 0 and discharging atoms ssList(all_0_12_12) = all_1505_0_300, ssList(all_0_12_12) = 0, yields:
% 70.55/32.32 | (2051) all_1505_0_300 = 0
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_12_12, all_1505_0_300, all_1510_0_307 and discharging atoms ssList(all_0_12_12) = all_1510_0_307, ssList(all_0_12_12) = all_1505_0_300, yields:
% 70.55/32.32 | (2052) all_1510_0_307 = all_1505_0_300
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (14) with all_0_12_12, all_1497_1_293, all_1510_0_307 and discharging atoms ssList(all_0_12_12) = all_1510_0_307, ssList(all_0_12_12) = all_1497_1_293, yields:
% 70.55/32.32 | (2053) all_1510_0_307 = all_1497_1_293
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (79) with all_330_0_108, all_1503_1_299, 0 and discharging atoms ssItem(all_330_0_108) = all_1503_1_299, ssItem(all_330_0_108) = 0, yields:
% 70.55/32.32 | (2054) all_1503_1_299 = 0
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (79) with all_330_0_108, all_1501_1_297, all_1503_1_299 and discharging atoms ssItem(all_330_0_108) = all_1503_1_299, ssItem(all_330_0_108) = all_1501_1_297, yields:
% 70.55/32.32 | (2055) all_1503_1_299 = all_1501_1_297
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (79) with all_239_0_100, all_1517_1_317, 0 and discharging atoms ssItem(all_239_0_100) = all_1517_1_317, ssItem(all_239_0_100) = 0, yields:
% 70.55/32.32 | (2056) all_1517_1_317 = 0
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (79) with all_239_0_100, all_1515_1_315, all_1517_1_317 and discharging atoms ssItem(all_239_0_100) = all_1517_1_317, ssItem(all_239_0_100) = all_1515_1_315, yields:
% 70.55/32.32 | (2057) all_1517_1_317 = all_1515_1_315
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (79) with all_0_10_10, all_1513_1_313, 0 and discharging atoms ssItem(all_0_10_10) = all_1513_1_313, ssItem(all_0_10_10) = 0, yields:
% 70.55/32.32 | (2058) all_1513_1_313 = 0
% 70.55/32.32 |
% 70.55/32.32 | Instantiating formula (79) with all_0_10_10, all_1481_1_277, all_1513_1_313 and discharging atoms ssItem(all_0_10_10) = all_1513_1_313, ssItem(all_0_10_10) = all_1481_1_277, yields:
% 70.55/32.32 | (2059) all_1513_1_313 = all_1481_1_277
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2047,2050) yields a new equation:
% 70.55/32.32 | (2060) all_1509_2_306 = all_1479_1_275
% 70.55/32.32 |
% 70.55/32.32 | Simplifying 2060 yields:
% 70.55/32.32 | (2061) all_1509_2_306 = all_1479_1_275
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2048,2049) yields a new equation:
% 70.55/32.32 | (2062) all_1509_2_306 = all_1507_1_303
% 70.55/32.32 |
% 70.55/32.32 | Simplifying 2062 yields:
% 70.55/32.32 | (2063) all_1509_2_306 = all_1507_1_303
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2057,2056) yields a new equation:
% 70.55/32.32 | (2064) all_1515_1_315 = 0
% 70.55/32.32 |
% 70.55/32.32 | Simplifying 2064 yields:
% 70.55/32.32 | (2065) all_1515_1_315 = 0
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2058,2059) yields a new equation:
% 70.55/32.32 | (2066) all_1481_1_277 = 0
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2052,2053) yields a new equation:
% 70.55/32.32 | (2067) all_1505_0_300 = all_1497_1_293
% 70.55/32.32 |
% 70.55/32.32 | Simplifying 2067 yields:
% 70.55/32.32 | (2068) all_1505_0_300 = all_1497_1_293
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2027,2063) yields a new equation:
% 70.55/32.32 | (2069) all_1507_1_303 = 0
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2061,2063) yields a new equation:
% 70.55/32.32 | (2070) all_1507_1_303 = all_1479_1_275
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2070,2069) yields a new equation:
% 70.55/32.32 | (2071) all_1479_1_275 = 0
% 70.55/32.32 |
% 70.55/32.32 | Simplifying 2071 yields:
% 70.55/32.32 | (2072) all_1479_1_275 = 0
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2051,2068) yields a new equation:
% 70.55/32.32 | (2073) all_1497_1_293 = 0
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2054,2055) yields a new equation:
% 70.55/32.32 | (2074) all_1501_1_297 = 0
% 70.55/32.32 |
% 70.55/32.32 | Combining equations (2074,2055) yields a new equation:
% 70.55/32.32 | (2054) all_1503_1_299 = 0
% 70.55/32.32 |
% 70.55/32.32 | From (2072) and (1962) follows:
% 70.55/32.32 | (7) ssList(all_0_2_2) = 0
% 70.55/32.32 |
% 70.55/32.32 | From (2073) and (1970) follows:
% 70.55/32.32 | (58) ssList(all_0_12_12) = 0
% 70.55/32.33 |
% 70.55/32.33 | From (2065) and (1999) follows:
% 70.55/32.33 | (715) ssItem(all_239_0_100) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (2004), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2079) ~ (all_1517_1_317 = 0)
% 70.55/32.33 |
% 70.55/32.33 | Equations (2056) can reduce 2079 to:
% 70.55/32.33 | (472) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2056) all_1517_1_317 = 0
% 70.55/32.33 | (2082) all_1517_0_316 = all_239_1_101
% 70.55/32.33 |
% 70.55/32.33 | Combining equations (2043,2082) yields a new equation:
% 70.55/32.33 | (2083) all_239_1_101 = nil
% 70.55/32.33 |
% 70.55/32.33 | From (2083) and (714) follows:
% 70.55/32.33 | (2084) cons(all_239_0_100, nil) = all_0_9_9
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (1950), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2085) ~ (cons(all_239_0_100, nil) = all_0_9_9)
% 70.55/32.33 |
% 70.55/32.33 | Using (2084) and (2085) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2084) cons(all_239_0_100, nil) = all_0_9_9
% 70.55/32.33 | (2088) ? [v0] : ? [v1] : (cons(all_239_0_100, all_0_9_9) = v1 & ssItem(all_239_0_100) = v0 & ( ~ (v0 = 0) | v1 = all_10_1_17))
% 70.55/32.33 |
% 70.55/32.33 | Instantiating (2088) with all_1616_0_342, all_1616_1_343 yields:
% 70.55/32.33 | (2089) cons(all_239_0_100, all_0_9_9) = all_1616_0_342 & ssItem(all_239_0_100) = all_1616_1_343 & ( ~ (all_1616_1_343 = 0) | all_1616_0_342 = all_10_1_17)
% 70.55/32.33 |
% 70.55/32.33 | Applying alpha-rule on (2089) yields:
% 70.55/32.33 | (2090) cons(all_239_0_100, all_0_9_9) = all_1616_0_342
% 70.55/32.33 | (2091) ssItem(all_239_0_100) = all_1616_1_343
% 70.55/32.33 | (2092) ~ (all_1616_1_343 = 0) | all_1616_0_342 = all_10_1_17
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (1945), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2093) all_330_1_109 = nil
% 70.55/32.33 |
% 70.55/32.33 | From (2093) and (929) follows:
% 70.55/32.33 | (47) ssList(nil) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (2000), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2095) ~ (all_1515_1_315 = 0)
% 70.55/32.33 |
% 70.55/32.33 | Equations (2065) can reduce 2095 to:
% 70.55/32.33 | (472) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2065) all_1515_1_315 = 0
% 70.55/32.33 | (2098) all_1515_0_314 = all_239_0_100
% 70.55/32.33 |
% 70.55/32.33 | Combining equations (2045,2098) yields a new equation:
% 70.55/32.33 | (2099) all_239_0_100 = all_0_10_10
% 70.55/32.33 |
% 70.55/32.33 | From (2099) and (2084) follows:
% 70.55/32.33 | (137) cons(all_0_10_10, nil) = all_0_9_9
% 70.55/32.33 |
% 70.55/32.33 | From (2099) and (2091) follows:
% 70.55/32.33 | (2101) ssItem(all_0_10_10) = all_1616_1_343
% 70.55/32.33 |
% 70.55/32.33 | From (2099) and (715) follows:
% 70.55/32.33 | (133) ssItem(all_0_10_10) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (1967), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2103) ~ (all_1481_1_277 = 0)
% 70.55/32.33 |
% 70.55/32.33 | Equations (2066) can reduce 2103 to:
% 70.55/32.33 | (472) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2066) all_1481_1_277 = 0
% 70.55/32.33 | (2106) all_1481_0_276 = all_224_1_94
% 70.55/32.33 |
% 70.55/32.33 | From (2106) and (1965) follows:
% 70.55/32.33 | (2107) cons(all_0_10_10, all_0_2_2) = all_224_1_94
% 70.55/32.33 |
% 70.55/32.33 | Instantiating formula (79) with all_0_10_10, all_1616_1_343, 0 and discharging atoms ssItem(all_0_10_10) = all_1616_1_343, ssItem(all_0_10_10) = 0, yields:
% 70.55/32.33 | (2108) all_1616_1_343 = 0
% 70.55/32.33 |
% 70.55/32.33 | From (2108) and (2101) follows:
% 70.55/32.33 | (133) ssItem(all_0_10_10) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (599), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2110) ~ (ssList(nil) = all_172_0_64)
% 70.55/32.33 |
% 70.55/32.33 | From (619) and (2110) follows:
% 70.55/32.33 | (982) ~ (ssList(nil) = 0)
% 70.55/32.33 |
% 70.55/32.33 | Using (47) and (982) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2113) ssList(nil) = all_172_0_64
% 70.55/32.33 | (619) all_172_0_64 = 0
% 70.55/32.33 |
% 70.55/32.33 | From (619) and (2113) follows:
% 70.55/32.33 | (47) ssList(nil) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (600), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2116) ~ (ssList(all_0_4_4) = all_172_0_64)
% 70.55/32.33 |
% 70.55/32.33 | From (619) and (2116) follows:
% 70.55/32.33 | (547) ~ (ssList(all_0_4_4) = 0)
% 70.55/32.33 |
% 70.55/32.33 | Using (546) and (547) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2119) ssList(all_0_4_4) = all_172_0_64
% 70.55/32.33 | (619) all_172_0_64 = 0
% 70.55/32.33 |
% 70.55/32.33 | From (619) and (2119) follows:
% 70.55/32.33 | (546) ssList(all_0_4_4) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (604), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2122) ~ (ssList(nil) = all_172_1_65)
% 70.55/32.33 |
% 70.55/32.33 | From (601) and (2122) follows:
% 70.55/32.33 | (982) ~ (ssList(nil) = 0)
% 70.55/32.33 |
% 70.55/32.33 | Using (47) and (982) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2125) ssList(nil) = all_172_1_65
% 70.55/32.33 | (601) all_172_1_65 = 0
% 70.55/32.33 |
% 70.55/32.33 | From (601) and (2125) follows:
% 70.55/32.33 | (47) ssList(nil) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (598), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2128) ~ (ssList(all_0_12_12) = all_172_0_64)
% 70.55/32.33 |
% 70.55/32.33 | From (619) and (2128) follows:
% 70.55/32.33 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.55/32.33 |
% 70.55/32.33 | Using (58) and (988) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2131) ssList(all_0_12_12) = all_172_0_64
% 70.55/32.33 | (619) all_172_0_64 = 0
% 70.55/32.33 |
% 70.55/32.33 | From (619) and (2131) follows:
% 70.55/32.33 | (58) ssList(all_0_12_12) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (607), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2134) ~ (ssList(all_0_12_12) = all_10_2_18)
% 70.55/32.33 |
% 70.55/32.33 | From (559) and (2134) follows:
% 70.55/32.33 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.55/32.33 |
% 70.55/32.33 | Using (58) and (988) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2137) ssList(all_0_12_12) = all_10_2_18
% 70.55/32.33 | (559) all_10_2_18 = 0
% 70.55/32.33 |
% 70.55/32.33 | From (559) and (2137) follows:
% 70.55/32.33 | (58) ssList(all_0_12_12) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (608), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2140) ~ (ssList(nil) = all_10_2_18)
% 70.55/32.33 |
% 70.55/32.33 | From (559) and (2140) follows:
% 70.55/32.33 | (982) ~ (ssList(nil) = 0)
% 70.55/32.33 |
% 70.55/32.33 | Using (47) and (982) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2143) ssList(nil) = all_10_2_18
% 70.55/32.33 | (559) all_10_2_18 = 0
% 70.55/32.33 |
% 70.55/32.33 | From (559) and (2143) follows:
% 70.55/32.33 | (47) ssList(nil) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (603), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2146) ~ (ssList(all_0_12_12) = all_172_1_65)
% 70.55/32.33 |
% 70.55/32.33 | From (601) and (2146) follows:
% 70.55/32.33 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.55/32.33 |
% 70.55/32.33 | Using (58) and (988) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2149) ssList(all_0_12_12) = all_172_1_65
% 70.55/32.33 | (601) all_172_1_65 = 0
% 70.55/32.33 |
% 70.55/32.33 | From (601) and (2149) follows:
% 70.55/32.33 | (58) ssList(all_0_12_12) = 0
% 70.55/32.33 |
% 70.55/32.33 +-Applying beta-rule and splitting (609), into two cases.
% 70.55/32.33 |-Branch one:
% 70.55/32.33 | (2152) ~ (ssList(all_0_9_9) = all_172_0_64)
% 70.55/32.33 |
% 70.55/32.33 | From (619) and (2152) follows:
% 70.55/32.33 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.33 |
% 70.55/32.33 | Using (541) and (968) yields:
% 70.55/32.33 | (538) $false
% 70.55/32.33 |
% 70.55/32.33 |-The branch is then unsatisfiable
% 70.55/32.33 |-Branch two:
% 70.55/32.33 | (2155) ssList(all_0_9_9) = all_172_0_64
% 70.55/32.33 | (2156) all_172_0_64 = all_10_2_18
% 70.55/32.33 |
% 70.55/32.33 | Combining equations (2156,619) yields a new equation:
% 70.55/32.33 | (558) all_10_2_18 = 0
% 70.55/32.33 |
% 70.55/32.33 | Simplifying 558 yields:
% 70.55/32.33 | (559) all_10_2_18 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2155) follows:
% 70.55/32.34 | (541) ssList(all_0_9_9) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (595), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2160) ~ (ssList(all_0_3_3) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (620) and (2160) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (620) ssList(all_0_3_3) = 0
% 70.55/32.34 | (619) all_172_0_64 = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (606), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2164) ~ (ssList(all_0_11_11) = all_10_2_18)
% 70.55/32.34 |
% 70.55/32.34 | From (559) and (2164) follows:
% 70.55/32.34 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (111) and (1002) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2167) ssList(all_0_11_11) = all_10_2_18
% 70.55/32.34 | (559) all_10_2_18 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (559) and (2167) follows:
% 70.55/32.34 | (111) ssList(all_0_11_11) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (602), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2170) ~ (ssList(all_0_11_11) = all_172_1_65)
% 70.55/32.34 |
% 70.55/32.34 | From (601) and (2170) follows:
% 70.55/32.34 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (111) and (1002) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2173) ssList(all_0_11_11) = all_172_1_65
% 70.55/32.34 | (601) all_172_1_65 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (601) and (2173) follows:
% 70.55/32.34 | (111) ssList(all_0_11_11) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (597), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2176) ~ (ssList(all_0_11_11) = all_172_0_64)
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2176) follows:
% 70.55/32.34 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (111) and (1002) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2179) ssList(all_0_11_11) = all_172_0_64
% 70.55/32.34 | (619) all_172_0_64 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2179) follows:
% 70.55/32.34 | (111) ssList(all_0_11_11) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (596), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2182) ~ (ssList(all_0_5_5) = all_172_0_64)
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2182) follows:
% 70.55/32.34 | (1043) ~ (ssList(all_0_5_5) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (95) and (1043) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2185) ssList(all_0_5_5) = all_172_0_64
% 70.55/32.34 | (619) all_172_0_64 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2185) follows:
% 70.55/32.34 | (95) ssList(all_0_5_5) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (611), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2152) ~ (ssList(all_0_9_9) = all_172_0_64)
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2152) follows:
% 70.55/32.34 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (541) and (968) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2155) ssList(all_0_9_9) = all_172_0_64
% 70.55/32.34 | (619) all_172_0_64 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2155) follows:
% 70.55/32.34 | (541) ssList(all_0_9_9) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (605), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2152) ~ (ssList(all_0_9_9) = all_172_0_64)
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2152) follows:
% 70.55/32.34 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (541) and (968) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2155) ssList(all_0_9_9) = all_172_0_64
% 70.55/32.34 | (2198) all_172_0_64 = all_172_1_65
% 70.55/32.34 |
% 70.55/32.34 | From (619) and (2155) follows:
% 70.55/32.34 | (541) ssList(all_0_9_9) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (726), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2200) ~ (ssList(all_10_1_17) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (885) and (2200) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (885) ssList(all_10_1_17) = 0
% 70.55/32.34 | (2203) all_222_1_92 = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (723), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2204) ~ (ssList(all_0_11_11) = all_222_1_92)
% 70.55/32.34 |
% 70.55/32.34 | From (2203) and (2204) follows:
% 70.55/32.34 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (111) and (1002) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2207) ssList(all_0_11_11) = all_222_1_92
% 70.55/32.34 | (2203) all_222_1_92 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (2203) and (2207) follows:
% 70.55/32.34 | (111) ssList(all_0_11_11) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (748), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2210) ~ (ssList(all_0_12_12) = all_214_1_84)
% 70.55/32.34 |
% 70.55/32.34 | From (746) and (2210) follows:
% 70.55/32.34 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (58) and (988) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2213) ssList(all_0_12_12) = all_214_1_84
% 70.55/32.34 | (746) all_214_1_84 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (746) and (2213) follows:
% 70.55/32.34 | (58) ssList(all_0_12_12) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (747), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2216) ~ (ssList(all_0_11_11) = all_214_1_84)
% 70.55/32.34 |
% 70.55/32.34 | From (746) and (2216) follows:
% 70.55/32.34 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (111) and (1002) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2219) ssList(all_0_11_11) = all_214_1_84
% 70.55/32.34 | (746) all_214_1_84 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (746) and (2219) follows:
% 70.55/32.34 | (111) ssList(all_0_11_11) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (727), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2222) ~ (ssList(all_0_2_2) = all_199_0_66)
% 70.55/32.34 |
% 70.55/32.34 | From (884) and (2222) follows:
% 70.55/32.34 | (2223) ~ (ssList(all_0_2_2) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (7) and (2223) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2225) ssList(all_0_2_2) = all_199_0_66
% 70.55/32.34 | (884) all_199_0_66 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (884) and (2225) follows:
% 70.55/32.34 | (7) ssList(all_0_2_2) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (720), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2228) ~ (ssList(all_0_4_4) = all_222_1_92)
% 70.55/32.34 |
% 70.55/32.34 | From (2203) and (2228) follows:
% 70.55/32.34 | (547) ~ (ssList(all_0_4_4) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (546) and (547) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2231) ssList(all_0_4_4) = all_222_1_92
% 70.55/32.34 | (2203) all_222_1_92 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (2203) and (2231) follows:
% 70.55/32.34 | (546) ssList(all_0_4_4) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (731), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2234) ~ (ssList(all_0_9_9) = all_199_0_66)
% 70.55/32.34 |
% 70.55/32.34 | From (884) and (2234) follows:
% 70.55/32.34 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (541) and (968) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2237) ssList(all_0_9_9) = all_199_0_66
% 70.55/32.34 | (884) all_199_0_66 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (884) and (2237) follows:
% 70.55/32.34 | (541) ssList(all_0_9_9) = 0
% 70.55/32.34 |
% 70.55/32.34 +-Applying beta-rule and splitting (722), into two cases.
% 70.55/32.34 |-Branch one:
% 70.55/32.34 | (2240) ~ (ssList(all_0_9_9) = all_222_1_92)
% 70.55/32.34 |
% 70.55/32.34 | From (2203) and (2240) follows:
% 70.55/32.34 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.34 |
% 70.55/32.34 | Using (541) and (968) yields:
% 70.55/32.34 | (538) $false
% 70.55/32.34 |
% 70.55/32.34 |-The branch is then unsatisfiable
% 70.55/32.34 |-Branch two:
% 70.55/32.34 | (2243) ssList(all_0_9_9) = all_222_1_92
% 70.55/32.34 | (2203) all_222_1_92 = 0
% 70.55/32.34 |
% 70.55/32.34 | From (2203) and (2243) follows:
% 70.55/32.34 | (541) ssList(all_0_9_9) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (740), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2246) ~ (ssList(all_0_9_9) = all_222_0_91)
% 70.55/32.35 |
% 70.55/32.35 | From (737) and (2246) follows:
% 70.55/32.35 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (541) and (968) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2249) ssList(all_0_9_9) = all_222_0_91
% 70.55/32.35 | (737) all_222_0_91 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (737) and (2249) follows:
% 70.55/32.35 | (541) ssList(all_0_9_9) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (739), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2252) ~ (ssList(all_0_5_5) = all_222_0_91)
% 70.55/32.35 |
% 70.55/32.35 | From (737) and (2252) follows:
% 70.55/32.35 | (1043) ~ (ssList(all_0_5_5) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (95) and (1043) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2255) ssList(all_0_5_5) = all_222_0_91
% 70.55/32.35 | (737) all_222_0_91 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (737) and (2255) follows:
% 70.55/32.35 | (95) ssList(all_0_5_5) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (734), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2258) ~ (ssList(nil) = all_199_0_66)
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2258) follows:
% 70.55/32.35 | (982) ~ (ssList(nil) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (47) and (982) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2261) ssList(nil) = all_199_0_66
% 70.55/32.35 | (884) all_199_0_66 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2261) follows:
% 70.55/32.35 | (47) ssList(nil) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (724), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2264) ~ (ssList(all_0_12_12) = all_222_1_92)
% 70.55/32.35 |
% 70.55/32.35 | From (2203) and (2264) follows:
% 70.55/32.35 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (58) and (988) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2267) ssList(all_0_12_12) = all_222_1_92
% 70.55/32.35 | (2203) all_222_1_92 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (2203) and (2267) follows:
% 70.55/32.35 | (58) ssList(all_0_12_12) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (721), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2270) ~ (ssList(all_0_5_5) = all_222_1_92)
% 70.55/32.35 |
% 70.55/32.35 | From (2203) and (2270) follows:
% 70.55/32.35 | (1043) ~ (ssList(all_0_5_5) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (95) and (1043) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2273) ssList(all_0_5_5) = all_222_1_92
% 70.55/32.35 | (2203) all_222_1_92 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (2203) and (2273) follows:
% 70.55/32.35 | (95) ssList(all_0_5_5) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (742), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2276) ~ (ssList(all_0_12_12) = all_222_0_91)
% 70.55/32.35 |
% 70.55/32.35 | From (737) and (2276) follows:
% 70.55/32.35 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (58) and (988) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2279) ssList(all_0_12_12) = all_222_0_91
% 70.55/32.35 | (737) all_222_0_91 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (737) and (2279) follows:
% 70.55/32.35 | (58) ssList(all_0_12_12) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (744), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2282) ~ (ssList(all_0_3_3) = all_222_1_92)
% 70.55/32.35 |
% 70.55/32.35 | From (2203) and (2282) follows:
% 70.55/32.35 | (2160) ~ (ssList(all_0_3_3) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (620) and (2160) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2285) ssList(all_0_3_3) = all_222_1_92
% 70.55/32.35 | (2286) all_222_0_91 = all_222_1_92
% 70.55/32.35 |
% 70.55/32.35 | Combining equations (737,2286) yields a new equation:
% 70.55/32.35 | (2203) all_222_1_92 = 0
% 70.55/32.35 |
% 70.55/32.35 | Combining equations (2203,2286) yields a new equation:
% 70.55/32.35 | (737) all_222_0_91 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (2203) and (2285) follows:
% 70.55/32.35 | (620) ssList(all_0_3_3) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (751), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2246) ~ (ssList(all_0_9_9) = all_222_0_91)
% 70.55/32.35 |
% 70.55/32.35 | From (737) and (2246) follows:
% 70.55/32.35 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (541) and (968) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2249) ssList(all_0_9_9) = all_222_0_91
% 70.55/32.35 | (2294) all_222_0_91 = all_214_1_84
% 70.55/32.35 |
% 70.55/32.35 | Combining equations (737,2294) yields a new equation:
% 70.55/32.35 | (746) all_214_1_84 = 0
% 70.55/32.35 |
% 70.55/32.35 | Combining equations (746,2294) yields a new equation:
% 70.55/32.35 | (737) all_222_0_91 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (737) and (2249) follows:
% 70.55/32.35 | (541) ssList(all_0_9_9) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (730), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2298) ~ (ssList(all_0_5_5) = all_199_0_66)
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2298) follows:
% 70.55/32.35 | (1043) ~ (ssList(all_0_5_5) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (95) and (1043) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2301) ssList(all_0_5_5) = all_199_0_66
% 70.55/32.35 | (884) all_199_0_66 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2301) follows:
% 70.55/32.35 | (95) ssList(all_0_5_5) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (732), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2304) ~ (ssList(all_0_11_11) = all_199_0_66)
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2304) follows:
% 70.55/32.35 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (111) and (1002) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2307) ssList(all_0_11_11) = all_199_0_66
% 70.55/32.35 | (884) all_199_0_66 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2307) follows:
% 70.55/32.35 | (111) ssList(all_0_11_11) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (745), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2310) ~ (ssList(all_0_3_3) = all_199_0_66)
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2310) follows:
% 70.55/32.35 | (2160) ~ (ssList(all_0_3_3) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (620) and (2160) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2313) ssList(all_0_3_3) = all_199_0_66
% 70.55/32.35 | (2314) all_222_0_91 = all_199_0_66
% 70.55/32.35 |
% 70.55/32.35 | Combining equations (737,2314) yields a new equation:
% 70.55/32.35 | (884) all_199_0_66 = 0
% 70.55/32.35 |
% 70.55/32.35 | Combining equations (884,2314) yields a new equation:
% 70.55/32.35 | (737) all_222_0_91 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2313) follows:
% 70.55/32.35 | (620) ssList(all_0_3_3) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (752), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2318) ~ (ssList(all_0_11_11) = all_199_1_67)
% 70.55/32.35 |
% 70.55/32.35 | From (810) and (2318) follows:
% 70.55/32.35 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (111) and (1002) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2321) ssList(all_0_11_11) = all_199_1_67
% 70.55/32.35 | (810) all_199_1_67 = 0
% 70.55/32.35 |
% 70.55/32.35 | From (810) and (2321) follows:
% 70.55/32.35 | (111) ssList(all_0_11_11) = 0
% 70.55/32.35 |
% 70.55/32.35 +-Applying beta-rule and splitting (755), into two cases.
% 70.55/32.35 |-Branch one:
% 70.55/32.35 | (2234) ~ (ssList(all_0_9_9) = all_199_0_66)
% 70.55/32.35 |
% 70.55/32.35 | From (884) and (2234) follows:
% 70.55/32.35 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.35 |
% 70.55/32.35 | Using (541) and (968) yields:
% 70.55/32.35 | (538) $false
% 70.55/32.35 |
% 70.55/32.35 |-The branch is then unsatisfiable
% 70.55/32.35 |-Branch two:
% 70.55/32.35 | (2237) ssList(all_0_9_9) = all_199_0_66
% 70.55/32.36 | (2328) all_199_0_66 = all_199_1_67
% 70.55/32.36 |
% 70.55/32.36 | Combining equations (884,2328) yields a new equation:
% 70.55/32.36 | (810) all_199_1_67 = 0
% 70.55/32.36 |
% 70.55/32.36 | Combining equations (810,2328) yields a new equation:
% 70.55/32.36 | (884) all_199_0_66 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (884) and (2237) follows:
% 70.55/32.36 | (541) ssList(all_0_9_9) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (753), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2332) ~ (ssList(all_0_12_12) = all_199_1_67)
% 70.55/32.36 |
% 70.55/32.36 | From (810) and (2332) follows:
% 70.55/32.36 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (58) and (988) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2335) ssList(all_0_12_12) = all_199_1_67
% 70.55/32.36 | (810) all_199_1_67 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (810) and (2335) follows:
% 70.55/32.36 | (58) ssList(all_0_12_12) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (756), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2246) ~ (ssList(all_0_9_9) = all_222_0_91)
% 70.55/32.36 |
% 70.55/32.36 | From (737) and (2246) follows:
% 70.55/32.36 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (541) and (968) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2249) ssList(all_0_9_9) = all_222_0_91
% 70.55/32.36 | (2342) all_222_0_91 = all_199_1_67
% 70.55/32.36 |
% 70.55/32.36 | Combining equations (737,2342) yields a new equation:
% 70.55/32.36 | (810) all_199_1_67 = 0
% 70.55/32.36 |
% 70.55/32.36 | Combining equations (810,2342) yields a new equation:
% 70.55/32.36 | (737) all_222_0_91 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (737) and (2249) follows:
% 70.55/32.36 | (541) ssList(all_0_9_9) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (749), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2240) ~ (ssList(all_0_9_9) = all_222_1_92)
% 70.55/32.36 |
% 70.55/32.36 | From (2203) and (2240) follows:
% 70.55/32.36 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (541) and (968) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2243) ssList(all_0_9_9) = all_222_1_92
% 70.55/32.36 | (2350) all_222_1_92 = all_214_1_84
% 70.55/32.36 |
% 70.55/32.36 | Combining equations (2203,2350) yields a new equation:
% 70.55/32.36 | (746) all_214_1_84 = 0
% 70.55/32.36 |
% 70.55/32.36 | Combining equations (746,2350) yields a new equation:
% 70.55/32.36 | (2203) all_222_1_92 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (2203) and (2243) follows:
% 70.55/32.36 | (541) ssList(all_0_9_9) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (733), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2354) ~ (ssList(all_0_12_12) = all_199_0_66)
% 70.55/32.36 |
% 70.55/32.36 | From (884) and (2354) follows:
% 70.55/32.36 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (58) and (988) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2357) ssList(all_0_12_12) = all_199_0_66
% 70.55/32.36 | (884) all_199_0_66 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (884) and (2357) follows:
% 70.55/32.36 | (58) ssList(all_0_12_12) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (719), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2282) ~ (ssList(all_0_3_3) = all_222_1_92)
% 70.55/32.36 |
% 70.55/32.36 | From (2203) and (2282) follows:
% 70.55/32.36 | (2160) ~ (ssList(all_0_3_3) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (620) and (2160) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2285) ssList(all_0_3_3) = all_222_1_92
% 70.55/32.36 | (2203) all_222_1_92 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (2203) and (2285) follows:
% 70.55/32.36 | (620) ssList(all_0_3_3) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (728), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2310) ~ (ssList(all_0_3_3) = all_199_0_66)
% 70.55/32.36 |
% 70.55/32.36 | From (884) and (2310) follows:
% 70.55/32.36 | (2160) ~ (ssList(all_0_3_3) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (620) and (2160) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2313) ssList(all_0_3_3) = all_199_0_66
% 70.55/32.36 | (884) all_199_0_66 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (884) and (2313) follows:
% 70.55/32.36 | (620) ssList(all_0_3_3) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (735), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2200) ~ (ssList(all_10_1_17) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (885) and (2200) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (885) ssList(all_10_1_17) = 0
% 70.55/32.36 | (884) all_199_0_66 = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (725), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2376) ~ (ssList(nil) = all_222_1_92)
% 70.55/32.36 |
% 70.55/32.36 | From (2203) and (2376) follows:
% 70.55/32.36 | (982) ~ (ssList(nil) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (47) and (982) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2379) ssList(nil) = all_222_1_92
% 70.55/32.36 | (2203) all_222_1_92 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (2203) and (2379) follows:
% 70.55/32.36 | (47) ssList(nil) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (750), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2234) ~ (ssList(all_0_9_9) = all_199_0_66)
% 70.55/32.36 |
% 70.55/32.36 | From (884) and (2234) follows:
% 70.55/32.36 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (541) and (968) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2237) ssList(all_0_9_9) = all_199_0_66
% 70.55/32.36 | (2386) all_214_1_84 = all_199_0_66
% 70.55/32.36 |
% 70.55/32.36 | Combining equations (2386,746) yields a new equation:
% 70.55/32.36 | (2387) all_199_0_66 = 0
% 70.55/32.36 |
% 70.55/32.36 | Simplifying 2387 yields:
% 70.55/32.36 | (884) all_199_0_66 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (884) and (2237) follows:
% 70.55/32.36 | (541) ssList(all_0_9_9) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (741), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2390) ~ (ssList(all_0_11_11) = all_222_0_91)
% 70.55/32.36 |
% 70.55/32.36 | From (737) and (2390) follows:
% 70.55/32.36 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (111) and (1002) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2393) ssList(all_0_11_11) = all_222_0_91
% 70.55/32.36 | (737) all_222_0_91 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (737) and (2393) follows:
% 70.55/32.36 | (111) ssList(all_0_11_11) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (738), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2396) ~ (ssList(all_0_4_4) = all_222_0_91)
% 70.55/32.36 |
% 70.55/32.36 | From (737) and (2396) follows:
% 70.55/32.36 | (547) ~ (ssList(all_0_4_4) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (546) and (547) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2399) ssList(all_0_4_4) = all_222_0_91
% 70.55/32.36 | (737) all_222_0_91 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (737) and (2399) follows:
% 70.55/32.36 | (546) ssList(all_0_4_4) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (743), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2402) ~ (ssList(nil) = all_222_0_91)
% 70.55/32.36 |
% 70.55/32.36 | From (737) and (2402) follows:
% 70.55/32.36 | (982) ~ (ssList(nil) = 0)
% 70.55/32.36 |
% 70.55/32.36 | Using (47) and (982) yields:
% 70.55/32.36 | (538) $false
% 70.55/32.36 |
% 70.55/32.36 |-The branch is then unsatisfiable
% 70.55/32.36 |-Branch two:
% 70.55/32.36 | (2405) ssList(nil) = all_222_0_91
% 70.55/32.36 | (737) all_222_0_91 = 0
% 70.55/32.36 |
% 70.55/32.36 | From (737) and (2405) follows:
% 70.55/32.36 | (47) ssList(nil) = 0
% 70.55/32.36 |
% 70.55/32.36 +-Applying beta-rule and splitting (718), into two cases.
% 70.55/32.36 |-Branch one:
% 70.55/32.36 | (2408) ~ (ssList(all_0_2_2) = all_222_1_92)
% 70.55/32.37 |
% 70.55/32.37 | From (2203) and (2408) follows:
% 70.55/32.37 | (2223) ~ (ssList(all_0_2_2) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (7) and (2223) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2411) ssList(all_0_2_2) = all_222_1_92
% 70.55/32.37 | (2203) all_222_1_92 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (2203) and (2411) follows:
% 70.55/32.37 | (7) ssList(all_0_2_2) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (729), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2414) ~ (ssList(all_0_4_4) = all_199_0_66)
% 70.55/32.37 |
% 70.55/32.37 | From (884) and (2414) follows:
% 70.55/32.37 | (547) ~ (ssList(all_0_4_4) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (546) and (547) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2417) ssList(all_0_4_4) = all_199_0_66
% 70.55/32.37 | (884) all_199_0_66 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (884) and (2417) follows:
% 70.55/32.37 | (546) ssList(all_0_4_4) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (754), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2240) ~ (ssList(all_0_9_9) = all_222_1_92)
% 70.55/32.37 |
% 70.55/32.37 | From (2203) and (2240) follows:
% 70.55/32.37 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (541) and (968) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2243) ssList(all_0_9_9) = all_222_1_92
% 70.55/32.37 | (2424) all_222_1_92 = all_199_1_67
% 70.55/32.37 |
% 70.55/32.37 | Combining equations (2203,2424) yields a new equation:
% 70.55/32.37 | (810) all_199_1_67 = 0
% 70.55/32.37 |
% 70.55/32.37 | Combining equations (810,2424) yields a new equation:
% 70.55/32.37 | (2203) all_222_1_92 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (2203) and (2243) follows:
% 70.55/32.37 | (541) ssList(all_0_9_9) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (759), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2428) ~ (ssItem(all_0_1_1) = all_225_1_97)
% 70.55/32.37 |
% 70.55/32.37 | From (825) and (2428) follows:
% 70.55/32.37 | (2429) ~ (ssItem(all_0_1_1) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (44) and (2429) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2431) ssItem(all_0_1_1) = all_225_1_97
% 70.55/32.37 | (825) all_225_1_97 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (825) and (2431) follows:
% 70.55/32.37 | (44) ssItem(all_0_1_1) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (760), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2434) ~ (ssItem(all_0_10_10) = all_225_1_97)
% 70.55/32.37 |
% 70.55/32.37 | From (825) and (2434) follows:
% 70.55/32.37 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (133) and (1103) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2437) ssItem(all_0_10_10) = all_225_1_97
% 70.55/32.37 | (825) all_225_1_97 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (825) and (2437) follows:
% 70.55/32.37 | (133) ssItem(all_0_10_10) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (776), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2440) ~ (ssItem(all_0_10_10) = all_210_1_80)
% 70.55/32.37 |
% 70.55/32.37 | From (820) and (2440) follows:
% 70.55/32.37 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (133) and (1103) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2443) ssItem(all_0_10_10) = all_210_1_80
% 70.55/32.37 | (820) all_210_1_80 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (820) and (2443) follows:
% 70.55/32.37 | (133) ssItem(all_0_10_10) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (797), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2446) ~ (ssItem(all_0_10_10) = all_208_1_78)
% 70.55/32.37 |
% 70.55/32.37 | From (819) and (2446) follows:
% 70.55/32.37 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (133) and (1103) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2449) ssItem(all_0_10_10) = all_208_1_78
% 70.55/32.37 | (2450) all_208_1_78 = all_201_1_69
% 70.55/32.37 |
% 70.55/32.37 | Combining equations (819,2450) yields a new equation:
% 70.55/32.37 | (790) all_201_1_69 = 0
% 70.55/32.37 |
% 70.55/32.37 | Combining equations (790,2450) yields a new equation:
% 70.55/32.37 | (819) all_208_1_78 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (819) and (2449) follows:
% 70.55/32.37 | (133) ssItem(all_0_10_10) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (762), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2454) ~ (ssItem(all_0_1_1) = all_220_1_90)
% 70.55/32.37 |
% 70.55/32.37 | From (824) and (2454) follows:
% 70.55/32.37 | (2429) ~ (ssItem(all_0_1_1) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (44) and (2429) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2457) ssItem(all_0_1_1) = all_220_1_90
% 70.55/32.37 | (824) all_220_1_90 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (824) and (2457) follows:
% 70.55/32.37 | (44) ssItem(all_0_1_1) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (787), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2460) ~ (ssItem(all_0_1_1) = all_204_1_74)
% 70.55/32.37 |
% 70.55/32.37 | From (818) and (2460) follows:
% 70.55/32.37 | (2429) ~ (ssItem(all_0_1_1) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (44) and (2429) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2463) ssItem(all_0_1_1) = all_204_1_74
% 70.55/32.37 | (818) all_204_1_74 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (818) and (2463) follows:
% 70.55/32.37 | (44) ssItem(all_0_1_1) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (775), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2466) ~ (ssItem(all_0_1_1) = all_210_1_80)
% 70.55/32.37 |
% 70.55/32.37 | From (820) and (2466) follows:
% 70.55/32.37 | (2429) ~ (ssItem(all_0_1_1) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (44) and (2429) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.37 | (2469) ssItem(all_0_1_1) = all_210_1_80
% 70.55/32.37 | (820) all_210_1_80 = 0
% 70.55/32.37 |
% 70.55/32.37 | From (820) and (2469) follows:
% 70.55/32.37 | (44) ssItem(all_0_1_1) = 0
% 70.55/32.37 |
% 70.55/32.37 +-Applying beta-rule and splitting (768), into two cases.
% 70.55/32.37 |-Branch one:
% 70.55/32.37 | (2472) ~ (ssItem(all_0_1_1) = all_216_1_86)
% 70.55/32.37 |
% 70.55/32.37 | From (822) and (2472) follows:
% 70.55/32.37 | (2429) ~ (ssItem(all_0_1_1) = 0)
% 70.55/32.37 |
% 70.55/32.37 | Using (44) and (2429) yields:
% 70.55/32.37 | (538) $false
% 70.55/32.37 |
% 70.55/32.37 |-The branch is then unsatisfiable
% 70.55/32.37 |-Branch two:
% 70.55/32.38 | (2475) ssItem(all_0_1_1) = all_216_1_86
% 70.55/32.38 | (822) all_216_1_86 = 0
% 70.55/32.38 |
% 70.55/32.38 | From (822) and (2475) follows:
% 70.55/32.38 | (44) ssItem(all_0_1_1) = 0
% 70.55/32.38 |
% 70.55/32.38 +-Applying beta-rule and splitting (780), into two cases.
% 70.55/32.38 |-Branch one:
% 70.55/32.38 | (2446) ~ (ssItem(all_0_10_10) = all_208_1_78)
% 70.55/32.38 |
% 70.55/32.38 | From (819) and (2446) follows:
% 70.55/32.38 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.55/32.38 |
% 70.55/32.38 | Using (133) and (1103) yields:
% 70.55/32.38 | (538) $false
% 70.55/32.38 |
% 70.55/32.38 |-The branch is then unsatisfiable
% 70.55/32.38 |-Branch two:
% 70.55/32.38 | (2449) ssItem(all_0_10_10) = all_208_1_78
% 70.55/32.38 | (819) all_208_1_78 = 0
% 70.55/32.38 |
% 70.55/32.38 | From (819) and (2449) follows:
% 70.55/32.38 | (133) ssItem(all_0_10_10) = 0
% 70.55/32.38 |
% 70.55/32.38 +-Applying beta-rule and splitting (717), into two cases.
% 70.55/32.38 |-Branch one:
% 70.55/32.38 | (2484) ~ (duplicatefreeP(all_0_12_12) = 0)
% 70.55/32.38 |
% 70.55/32.38 | Using (836) and (2484) yields:
% 70.55/32.38 | (538) $false
% 70.55/32.38 |
% 70.55/32.38 |-The branch is then unsatisfiable
% 70.55/32.38 |-Branch two:
% 70.55/32.38 | (836) duplicatefreeP(all_0_12_12) = 0
% 70.55/32.38 | (835) all_220_0_89 = 0
% 70.55/32.38 |
% 70.55/32.38 +-Applying beta-rule and splitting (779), into two cases.
% 70.55/32.38 |-Branch one:
% 70.55/32.38 | (2488) ~ (ssItem(all_0_1_1) = all_208_1_78)
% 70.55/32.38 |
% 70.55/32.38 | From (819) and (2488) follows:
% 70.85/32.38 | (2429) ~ (ssItem(all_0_1_1) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (44) and (2429) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2491) ssItem(all_0_1_1) = all_208_1_78
% 70.85/32.38 | (819) all_208_1_78 = 0
% 70.85/32.38 |
% 70.85/32.38 +-Applying beta-rule and splitting (784), into two cases.
% 70.85/32.38 |-Branch one:
% 70.85/32.38 | (2493) ~ (ssItem(all_0_10_10) = all_206_1_76)
% 70.85/32.38 |
% 70.85/32.38 | From (782) and (2493) follows:
% 70.85/32.38 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (133) and (1103) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2496) ssItem(all_0_10_10) = all_206_1_76
% 70.85/32.38 | (782) all_206_1_76 = 0
% 70.85/32.38 |
% 70.85/32.38 | From (782) and (2496) follows:
% 70.85/32.38 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.38 |
% 70.85/32.38 +-Applying beta-rule and splitting (772), into two cases.
% 70.85/32.38 |-Branch one:
% 70.85/32.38 | (2499) ~ (ssItem(all_0_10_10) = all_212_1_82)
% 70.85/32.38 |
% 70.85/32.38 | From (821) and (2499) follows:
% 70.85/32.38 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (133) and (1103) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2502) ssItem(all_0_10_10) = all_212_1_82
% 70.85/32.38 | (821) all_212_1_82 = 0
% 70.85/32.38 |
% 70.85/32.38 | From (821) and (2502) follows:
% 70.85/32.38 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.38 |
% 70.85/32.38 +-Applying beta-rule and splitting (798), into two cases.
% 70.85/32.38 |-Branch one:
% 70.85/32.38 | (2493) ~ (ssItem(all_0_10_10) = all_206_1_76)
% 70.85/32.38 |
% 70.85/32.38 | From (782) and (2493) follows:
% 70.85/32.38 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (133) and (1103) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2496) ssItem(all_0_10_10) = all_206_1_76
% 70.85/32.38 | (2509) all_206_1_76 = all_201_1_69
% 70.85/32.38 |
% 70.85/32.38 | From (782) and (2496) follows:
% 70.85/32.38 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.38 |
% 70.85/32.38 +-Applying beta-rule and splitting (758), into two cases.
% 70.85/32.38 |-Branch one:
% 70.85/32.38 | (2511) ~ (ssItem(all_0_0_0) = all_225_1_97)
% 70.85/32.38 |
% 70.85/32.38 | From (825) and (2511) follows:
% 70.85/32.38 | (2512) ~ (ssItem(all_0_0_0) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (149) and (2512) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2514) ssItem(all_0_0_0) = all_225_1_97
% 70.85/32.38 | (825) all_225_1_97 = 0
% 70.85/32.38 |
% 70.85/32.38 | From (825) and (2514) follows:
% 70.85/32.38 | (149) ssItem(all_0_0_0) = 0
% 70.85/32.38 |
% 70.85/32.38 +-Applying beta-rule and splitting (771), into two cases.
% 70.85/32.38 |-Branch one:
% 70.85/32.38 | (2517) ~ (ssItem(all_0_0_0) = all_212_1_82)
% 70.85/32.38 |
% 70.85/32.38 | From (821) and (2517) follows:
% 70.85/32.38 | (2512) ~ (ssItem(all_0_0_0) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (149) and (2512) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2520) ssItem(all_0_0_0) = all_212_1_82
% 70.85/32.38 | (821) all_212_1_82 = 0
% 70.85/32.38 |
% 70.85/32.38 | From (821) and (2520) follows:
% 70.85/32.38 | (149) ssItem(all_0_0_0) = 0
% 70.85/32.38 |
% 70.85/32.38 +-Applying beta-rule and splitting (795), into two cases.
% 70.85/32.38 |-Branch one:
% 70.85/32.38 | (2499) ~ (ssItem(all_0_10_10) = all_212_1_82)
% 70.85/32.38 |
% 70.85/32.38 | From (821) and (2499) follows:
% 70.85/32.38 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (133) and (1103) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2502) ssItem(all_0_10_10) = all_212_1_82
% 70.85/32.38 | (2527) all_212_1_82 = all_201_1_69
% 70.85/32.38 |
% 70.85/32.38 | Combining equations (821,2527) yields a new equation:
% 70.85/32.38 | (790) all_201_1_69 = 0
% 70.85/32.38 |
% 70.85/32.38 | Combining equations (790,2527) yields a new equation:
% 70.85/32.38 | (821) all_212_1_82 = 0
% 70.85/32.38 |
% 70.85/32.38 | From (821) and (2502) follows:
% 70.85/32.38 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.38 |
% 70.85/32.38 +-Applying beta-rule and splitting (769), into two cases.
% 70.85/32.38 |-Branch one:
% 70.85/32.38 | (2531) ~ (ssItem(all_0_10_10) = all_216_1_86)
% 70.85/32.38 |
% 70.85/32.38 | From (822) and (2531) follows:
% 70.85/32.38 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (133) and (1103) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2534) ssItem(all_0_10_10) = all_216_1_86
% 70.85/32.38 | (822) all_216_1_86 = 0
% 70.85/32.38 |
% 70.85/32.38 | From (822) and (2534) follows:
% 70.85/32.38 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.38 |
% 70.85/32.38 +-Applying beta-rule and splitting (799), into two cases.
% 70.85/32.38 |-Branch one:
% 70.85/32.38 | (2537) ~ (ssItem(all_0_10_10) = all_204_1_74)
% 70.85/32.38 |
% 70.85/32.38 | From (818) and (2537) follows:
% 70.85/32.38 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.38 |
% 70.85/32.38 | Using (133) and (1103) yields:
% 70.85/32.38 | (538) $false
% 70.85/32.38 |
% 70.85/32.38 |-The branch is then unsatisfiable
% 70.85/32.38 |-Branch two:
% 70.85/32.38 | (2540) ssItem(all_0_10_10) = all_204_1_74
% 70.85/32.38 | (2541) all_204_1_74 = all_201_1_69
% 70.85/32.38 |
% 70.85/32.38 | From (818) and (2540) follows:
% 70.85/32.39 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (788), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2537) ~ (ssItem(all_0_10_10) = all_204_1_74)
% 70.85/32.39 |
% 70.85/32.39 | From (818) and (2537) follows:
% 70.85/32.39 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (133) and (1103) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2540) ssItem(all_0_10_10) = all_204_1_74
% 70.85/32.39 | (818) all_204_1_74 = 0
% 70.85/32.39 |
% 70.85/32.39 | From (818) and (2540) follows:
% 70.85/32.39 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (764), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2549) ~ (ssItem(all_0_10_10) = all_218_1_88)
% 70.85/32.39 |
% 70.85/32.39 | From (823) and (2549) follows:
% 70.85/32.39 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (133) and (1103) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2552) ssItem(all_0_10_10) = all_218_1_88
% 70.85/32.39 | (823) all_218_1_88 = 0
% 70.85/32.39 |
% 70.85/32.39 | From (823) and (2552) follows:
% 70.85/32.39 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (786), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2555) ~ (ssItem(all_0_0_0) = all_204_1_74)
% 70.85/32.39 |
% 70.85/32.39 | From (818) and (2555) follows:
% 70.85/32.39 | (2512) ~ (ssItem(all_0_0_0) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (149) and (2512) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2558) ssItem(all_0_0_0) = all_204_1_74
% 70.85/32.39 | (818) all_204_1_74 = 0
% 70.85/32.39 |
% 70.85/32.39 | From (818) and (2558) follows:
% 70.85/32.39 | (149) ssItem(all_0_0_0) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (778), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2561) ~ (ssItem(all_0_0_0) = all_208_1_78)
% 70.85/32.39 |
% 70.85/32.39 | From (819) and (2561) follows:
% 70.85/32.39 | (2512) ~ (ssItem(all_0_0_0) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (149) and (2512) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2564) ssItem(all_0_0_0) = all_208_1_78
% 70.85/32.39 | (819) all_208_1_78 = 0
% 70.85/32.39 |
% 70.85/32.39 | From (819) and (2564) follows:
% 70.85/32.39 | (149) ssItem(all_0_0_0) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (783), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2567) ~ (ssItem(all_0_0_0) = all_206_1_76)
% 70.85/32.39 |
% 70.85/32.39 | From (782) and (2567) follows:
% 70.85/32.39 | (2512) ~ (ssItem(all_0_0_0) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (149) and (2512) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2570) ssItem(all_0_0_0) = all_206_1_76
% 70.85/32.39 | (782) all_206_1_76 = 0
% 70.85/32.39 |
% 70.85/32.39 | From (782) and (2570) follows:
% 70.85/32.39 | (149) ssItem(all_0_0_0) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (794), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2531) ~ (ssItem(all_0_10_10) = all_216_1_86)
% 70.85/32.39 |
% 70.85/32.39 | From (822) and (2531) follows:
% 70.85/32.39 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (133) and (1103) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2534) ssItem(all_0_10_10) = all_216_1_86
% 70.85/32.39 | (2577) all_216_1_86 = all_201_1_69
% 70.85/32.39 |
% 70.85/32.39 | From (822) and (2534) follows:
% 70.85/32.39 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (793), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2549) ~ (ssItem(all_0_10_10) = all_218_1_88)
% 70.85/32.39 |
% 70.85/32.39 | From (823) and (2549) follows:
% 70.85/32.39 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (133) and (1103) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2552) ssItem(all_0_10_10) = all_218_1_88
% 70.85/32.39 | (2583) all_218_1_88 = all_201_1_69
% 70.85/32.39 |
% 70.85/32.39 | From (823) and (2552) follows:
% 70.85/32.39 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (767), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2585) ~ (ssItem(all_0_0_0) = all_216_1_86)
% 70.85/32.39 |
% 70.85/32.39 | From (822) and (2585) follows:
% 70.85/32.39 | (2512) ~ (ssItem(all_0_0_0) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (149) and (2512) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2588) ssItem(all_0_0_0) = all_216_1_86
% 70.85/32.39 | (822) all_216_1_86 = 0
% 70.85/32.39 |
% 70.85/32.39 | From (822) and (2588) follows:
% 70.85/32.39 | (149) ssItem(all_0_0_0) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (791), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2434) ~ (ssItem(all_0_10_10) = all_225_1_97)
% 70.85/32.39 |
% 70.85/32.39 | From (825) and (2434) follows:
% 70.85/32.39 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (133) and (1103) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2437) ssItem(all_0_10_10) = all_225_1_97
% 70.85/32.39 | (2595) all_225_1_97 = all_201_1_69
% 70.85/32.39 |
% 70.85/32.39 | Combining equations (825,2595) yields a new equation:
% 70.85/32.39 | (790) all_201_1_69 = 0
% 70.85/32.39 |
% 70.85/32.39 | Combining equations (790,2595) yields a new equation:
% 70.85/32.39 | (825) all_225_1_97 = 0
% 70.85/32.39 |
% 70.85/32.39 | From (825) and (2437) follows:
% 70.85/32.39 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (774), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2599) ~ (ssItem(all_0_0_0) = all_210_1_80)
% 70.85/32.39 |
% 70.85/32.39 | From (820) and (2599) follows:
% 70.85/32.39 | (2512) ~ (ssItem(all_0_0_0) = 0)
% 70.85/32.39 |
% 70.85/32.39 | Using (149) and (2512) yields:
% 70.85/32.39 | (538) $false
% 70.85/32.39 |
% 70.85/32.39 |-The branch is then unsatisfiable
% 70.85/32.39 |-Branch two:
% 70.85/32.39 | (2602) ssItem(all_0_0_0) = all_210_1_80
% 70.85/32.39 | (820) all_210_1_80 = 0
% 70.85/32.39 |
% 70.85/32.39 | From (820) and (2602) follows:
% 70.85/32.39 | (149) ssItem(all_0_0_0) = 0
% 70.85/32.39 |
% 70.85/32.39 +-Applying beta-rule and splitting (761), into two cases.
% 70.85/32.39 |-Branch one:
% 70.85/32.39 | (2605) ~ (ssItem(all_0_0_0) = all_220_1_90)
% 70.85/32.39 |
% 70.85/32.39 | From (824) and (2605) follows:
% 70.85/32.39 | (2512) ~ (ssItem(all_0_0_0) = 0)
% 70.85/32.39 |
% 70.85/32.40 | Using (149) and (2512) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2608) ssItem(all_0_0_0) = all_220_1_90
% 70.85/32.40 | (824) all_220_1_90 = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (763), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2610) ~ (ssItem(all_0_10_10) = all_220_1_90)
% 70.85/32.40 |
% 70.85/32.40 | From (824) and (2610) follows:
% 70.85/32.40 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (133) and (1103) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2613) ssItem(all_0_10_10) = all_220_1_90
% 70.85/32.40 | (824) all_220_1_90 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (824) and (2613) follows:
% 70.85/32.40 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (796), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2440) ~ (ssItem(all_0_10_10) = all_210_1_80)
% 70.85/32.40 |
% 70.85/32.40 | From (820) and (2440) follows:
% 70.85/32.40 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (133) and (1103) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2443) ssItem(all_0_10_10) = all_210_1_80
% 70.85/32.40 | (2620) all_210_1_80 = all_201_1_69
% 70.85/32.40 |
% 70.85/32.40 | From (820) and (2443) follows:
% 70.85/32.40 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (792), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2610) ~ (ssItem(all_0_10_10) = all_220_1_90)
% 70.85/32.40 |
% 70.85/32.40 | From (824) and (2610) follows:
% 70.85/32.40 | (1103) ~ (ssItem(all_0_10_10) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (133) and (1103) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2613) ssItem(all_0_10_10) = all_220_1_90
% 70.85/32.40 | (2626) all_220_1_90 = all_201_1_69
% 70.85/32.40 |
% 70.85/32.40 | Combining equations (824,2626) yields a new equation:
% 70.85/32.40 | (790) all_201_1_69 = 0
% 70.85/32.40 |
% 70.85/32.40 | Combining equations (790,2626) yields a new equation:
% 70.85/32.40 | (824) all_220_1_90 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (824) and (2613) follows:
% 70.85/32.40 | (133) ssItem(all_0_10_10) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (908), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2630) ~ (ssList(all_0_9_9) = all_203_2_72)
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2630) follows:
% 70.85/32.40 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (541) and (968) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2633) ssList(all_0_9_9) = all_203_2_72
% 70.85/32.40 | (897) all_203_2_72 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2633) follows:
% 70.85/32.40 | (541) ssList(all_0_9_9) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (915), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2630) ~ (ssList(all_0_9_9) = all_203_2_72)
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2630) follows:
% 70.85/32.40 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (541) and (968) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2633) ssList(all_0_9_9) = all_203_2_72
% 70.85/32.40 | (2640) all_234_1_99 = all_203_2_72
% 70.85/32.40 |
% 70.85/32.40 | Combining equations (2640,853) yields a new equation:
% 70.85/32.40 | (2641) all_203_2_72 = 0
% 70.85/32.40 |
% 70.85/32.40 | Simplifying 2641 yields:
% 70.85/32.40 | (897) all_203_2_72 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2633) follows:
% 70.85/32.40 | (541) ssList(all_0_9_9) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (910), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2644) ~ (ssList(all_0_12_12) = all_203_2_72)
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2644) follows:
% 70.85/32.40 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (58) and (988) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2647) ssList(all_0_12_12) = all_203_2_72
% 70.85/32.40 | (897) all_203_2_72 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2647) follows:
% 70.85/32.40 | (58) ssList(all_0_12_12) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (913), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2650) ~ (ssList(all_0_11_11) = all_234_1_99)
% 70.85/32.40 |
% 70.85/32.40 | From (853) and (2650) follows:
% 70.85/32.40 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (111) and (1002) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2653) ssList(all_0_11_11) = all_234_1_99
% 70.85/32.40 | (853) all_234_1_99 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (853) and (2653) follows:
% 70.85/32.40 | (111) ssList(all_0_11_11) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (907), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2656) ~ (ssList(all_0_5_5) = all_203_2_72)
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2656) follows:
% 70.85/32.40 | (1043) ~ (ssList(all_0_5_5) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (95) and (1043) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2659) ssList(all_0_5_5) = all_203_2_72
% 70.85/32.40 | (897) all_203_2_72 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2659) follows:
% 70.85/32.40 | (95) ssList(all_0_5_5) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (914), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2662) ~ (ssList(all_0_12_12) = all_234_1_99)
% 70.85/32.40 |
% 70.85/32.40 | From (853) and (2662) follows:
% 70.85/32.40 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (58) and (988) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2665) ssList(all_0_12_12) = all_234_1_99
% 70.85/32.40 | (853) all_234_1_99 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (853) and (2665) follows:
% 70.85/32.40 | (58) ssList(all_0_12_12) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (906), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2668) ~ (ssList(all_0_4_4) = all_203_2_72)
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2668) follows:
% 70.85/32.40 | (547) ~ (ssList(all_0_4_4) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (546) and (547) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2671) ssList(all_0_4_4) = all_203_2_72
% 70.85/32.40 | (897) all_203_2_72 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2671) follows:
% 70.85/32.40 | (546) ssList(all_0_4_4) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (911), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2674) ~ (ssList(nil) = all_203_2_72)
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2674) follows:
% 70.85/32.40 | (982) ~ (ssList(nil) = 0)
% 70.85/32.40 |
% 70.85/32.40 | Using (47) and (982) yields:
% 70.85/32.40 | (538) $false
% 70.85/32.40 |
% 70.85/32.40 |-The branch is then unsatisfiable
% 70.85/32.40 |-Branch two:
% 70.85/32.40 | (2677) ssList(nil) = all_203_2_72
% 70.85/32.40 | (897) all_203_2_72 = 0
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2677) follows:
% 70.85/32.40 | (47) ssList(nil) = 0
% 70.85/32.40 |
% 70.85/32.40 +-Applying beta-rule and splitting (909), into two cases.
% 70.85/32.40 |-Branch one:
% 70.85/32.40 | (2680) ~ (ssList(all_0_11_11) = all_203_2_72)
% 70.85/32.40 |
% 70.85/32.40 | From (897) and (2680) follows:
% 70.85/32.41 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (111) and (1002) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2683) ssList(all_0_11_11) = all_203_2_72
% 70.85/32.41 | (897) all_203_2_72 = 0
% 70.85/32.41 |
% 70.85/32.41 | From (897) and (2683) follows:
% 70.85/32.41 | (111) ssList(all_0_11_11) = 0
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (905), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2686) ~ (ssList(all_0_3_3) = all_203_2_72)
% 70.85/32.41 |
% 70.85/32.41 | From (897) and (2686) follows:
% 70.85/32.41 | (2160) ~ (ssList(all_0_3_3) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (620) and (2160) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2689) ssList(all_0_3_3) = all_203_2_72
% 70.85/32.41 | (897) all_203_2_72 = 0
% 70.85/32.41 |
% 70.85/32.41 | From (897) and (2689) follows:
% 70.85/32.41 | (620) ssList(all_0_3_3) = 0
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (953), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2692) ~ (ssList(all_0_11_11) = all_224_2_95)
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2692) follows:
% 70.85/32.41 | (1002) ~ (ssList(all_0_11_11) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (111) and (1002) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2695) ssList(all_0_11_11) = all_224_2_95
% 70.85/32.41 | (941) all_224_2_95 = 0
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (952), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2697) ~ (ssList(all_0_9_9) = all_224_2_95)
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2697) follows:
% 70.85/32.41 | (968) ~ (ssList(all_0_9_9) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (541) and (968) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (940) ssList(all_0_9_9) = all_224_2_95
% 70.85/32.41 | (941) all_224_2_95 = 0
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (950), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2702) ~ (ssList(all_0_4_4) = all_224_2_95)
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2702) follows:
% 70.85/32.41 | (547) ~ (ssList(all_0_4_4) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (546) and (547) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2705) ssList(all_0_4_4) = all_224_2_95
% 70.85/32.41 | (941) all_224_2_95 = 0
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (955), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2707) ~ (ssList(nil) = all_224_2_95)
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2707) follows:
% 70.85/32.41 | (982) ~ (ssList(nil) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (47) and (982) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2710) ssList(nil) = all_224_2_95
% 70.85/32.41 | (941) all_224_2_95 = 0
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2710) follows:
% 70.85/32.41 | (47) ssList(nil) = 0
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (951), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2713) ~ (ssList(all_0_5_5) = all_224_2_95)
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2713) follows:
% 70.85/32.41 | (1043) ~ (ssList(all_0_5_5) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (95) and (1043) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2716) ssList(all_0_5_5) = all_224_2_95
% 70.85/32.41 | (941) all_224_2_95 = 0
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2716) follows:
% 70.85/32.41 | (95) ssList(all_0_5_5) = 0
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (949), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2719) ~ (ssList(all_0_3_3) = all_224_2_95)
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2719) follows:
% 70.85/32.41 | (2160) ~ (ssList(all_0_3_3) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (620) and (2160) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2722) ssList(all_0_3_3) = all_224_2_95
% 70.85/32.41 | (941) all_224_2_95 = 0
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (954), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2724) ~ (ssList(all_0_12_12) = all_224_2_95)
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2724) follows:
% 70.85/32.41 | (988) ~ (ssList(all_0_12_12) = 0)
% 70.85/32.41 |
% 70.85/32.41 | Using (58) and (988) yields:
% 70.85/32.41 | (538) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2727) ssList(all_0_12_12) = all_224_2_95
% 70.85/32.41 | (941) all_224_2_95 = 0
% 70.85/32.41 |
% 70.85/32.41 | From (941) and (2727) follows:
% 70.85/32.41 | (58) ssList(all_0_12_12) = 0
% 70.85/32.41 |
% 70.85/32.41 | Instantiating formula (102) with all_224_1_94, all_0_2_2, all_0_4_4, all_0_9_9, nil, all_0_5_5, all_0_10_10, all_0_12_12 and discharging atoms duplicatefreeP(all_0_12_12) = 0, ssList(all_0_5_5) = 0, cons(all_0_10_10, all_0_2_2) = all_224_1_94, cons(all_0_10_10, nil) = all_0_9_9, app(all_0_4_4, all_224_1_94) = all_0_12_12, app(all_0_5_5, all_0_9_9) = all_0_4_4, ssItem(all_0_10_10) = 0, yields:
% 70.85/32.41 | (2730) ? [v0] : (( ~ (v0 = 0) & ssList(all_0_2_2) = v0) | ( ~ (v0 = 0) & ssList(all_0_12_12) = v0) | ( ~ (v0 = 0) & ssList(nil) = v0))
% 70.85/32.41 |
% 70.85/32.41 | Instantiating (2730) with all_2729_0_360 yields:
% 70.85/32.41 | (2731) ( ~ (all_2729_0_360 = 0) & ssList(all_0_2_2) = all_2729_0_360) | ( ~ (all_2729_0_360 = 0) & ssList(all_0_12_12) = all_2729_0_360) | ( ~ (all_2729_0_360 = 0) & ssList(nil) = all_2729_0_360)
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (2731), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2732) ( ~ (all_2729_0_360 = 0) & ssList(all_0_2_2) = all_2729_0_360) | ( ~ (all_2729_0_360 = 0) & ssList(all_0_12_12) = all_2729_0_360)
% 70.85/32.41 |
% 70.85/32.41 +-Applying beta-rule and splitting (2732), into two cases.
% 70.85/32.41 |-Branch one:
% 70.85/32.41 | (2733) ~ (all_2729_0_360 = 0) & ssList(all_0_2_2) = all_2729_0_360
% 70.85/32.41 |
% 70.85/32.41 | Applying alpha-rule on (2733) yields:
% 70.85/32.41 | (2734) ~ (all_2729_0_360 = 0)
% 70.85/32.41 | (2735) ssList(all_0_2_2) = all_2729_0_360
% 70.85/32.41 |
% 70.85/32.41 | Instantiating formula (14) with all_0_2_2, all_2729_0_360, 0 and discharging atoms ssList(all_0_2_2) = all_2729_0_360, ssList(all_0_2_2) = 0, yields:
% 70.85/32.41 | (2736) all_2729_0_360 = 0
% 70.85/32.41 |
% 70.85/32.41 | Equations (2736) can reduce 2734 to:
% 70.85/32.41 | (472) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.41 |-Branch two:
% 70.85/32.41 | (2738) ~ (all_2729_0_360 = 0) & ssList(all_0_12_12) = all_2729_0_360
% 70.85/32.41 |
% 70.85/32.41 | Applying alpha-rule on (2738) yields:
% 70.85/32.41 | (2734) ~ (all_2729_0_360 = 0)
% 70.85/32.41 | (2740) ssList(all_0_12_12) = all_2729_0_360
% 70.85/32.41 |
% 70.85/32.41 | Instantiating formula (14) with all_0_12_12, all_2729_0_360, 0 and discharging atoms ssList(all_0_12_12) = all_2729_0_360, ssList(all_0_12_12) = 0, yields:
% 70.85/32.41 | (2736) all_2729_0_360 = 0
% 70.85/32.41 |
% 70.85/32.41 | Equations (2736) can reduce 2734 to:
% 70.85/32.41 | (472) $false
% 70.85/32.41 |
% 70.85/32.41 |-The branch is then unsatisfiable
% 70.85/32.42 |-Branch two:
% 70.85/32.42 | (2743) ~ (all_2729_0_360 = 0) & ssList(nil) = all_2729_0_360
% 70.85/32.42 |
% 70.85/32.42 | Applying alpha-rule on (2743) yields:
% 70.85/32.42 | (2734) ~ (all_2729_0_360 = 0)
% 70.85/32.42 | (2745) ssList(nil) = all_2729_0_360
% 70.85/32.42 |
% 70.85/32.42 | Instantiating formula (14) with nil, all_2729_0_360, 0 and discharging atoms ssList(nil) = all_2729_0_360, ssList(nil) = 0, yields:
% 70.85/32.42 | (2736) all_2729_0_360 = 0
% 70.85/32.42 |
% 70.85/32.42 | Equations (2736) can reduce 2734 to:
% 70.85/32.42 | (472) $false
% 70.85/32.42 |
% 70.85/32.42 |-The branch is then unsatisfiable
% 70.85/32.43 |-Branch two:
% 70.85/32.43 | (2748) ~ (all_330_1_109 = nil)
% 70.85/32.43 | (2749) ? [v0] : (( ~ (v0 = 0) & ssItem(all_330_0_108) = v0) | ( ~ (v0 = 0) & ssItem(all_23_2_33) = v0))
% 70.85/32.43 |
% 70.85/32.43 +-Applying beta-rule and splitting (1944), into two cases.
% 70.85/32.43 |-Branch one:
% 70.85/32.43 | (2093) all_330_1_109 = nil
% 70.85/32.43 |
% 70.85/32.43 | Equations (2093) can reduce 2748 to:
% 70.85/32.43 | (472) $false
% 70.85/32.43 |
% 70.85/32.43 |-The branch is then unsatisfiable
% 70.85/32.43 |-Branch two:
% 70.85/32.43 | (2748) ~ (all_330_1_109 = nil)
% 70.85/32.43 | (2753) ? [v0] : ? [v1] : (ssList(v0) = 0 & cons(v1, v0) = all_330_1_109 & ssItem(v1) = 0)
% 70.85/32.43 |
% 70.85/32.43 +-Applying beta-rule and splitting (1979), into two cases.
% 70.85/32.43 |-Branch one:
% 70.85/32.43 | (2754) ~ (all_1503_1_299 = 0)
% 70.85/32.43 |
% 70.85/32.43 | Equations (2054) can reduce 2754 to:
% 70.85/32.43 | (472) $false
% 70.85/32.43 |
% 70.85/32.43 |-The branch is then unsatisfiable
% 70.85/32.43 |-Branch two:
% 70.85/32.43 | (2054) all_1503_1_299 = 0
% 70.85/32.43 | (2757) all_1503_0_298 = all_330_1_109
% 70.85/32.43 |
% 70.85/32.43 | Combining equations (2044,2757) yields a new equation:
% 70.85/32.43 | (2093) all_330_1_109 = nil
% 70.85/32.43 |
% 70.85/32.43 | Equations (2093) can reduce 2748 to:
% 70.85/32.43 | (472) $false
% 70.85/32.43 |
% 70.85/32.43 |-The branch is then unsatisfiable
% 70.85/32.44 |-Branch two:
% 70.85/32.44 | (2760) app(all_0_9_9, all_0_9_9) = nil
% 70.85/32.44 | (2761) all_0_9_9 = nil | ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0)
% 70.85/32.44 |
% 70.85/32.44 +-Applying beta-rule and splitting (2761), into two cases.
% 70.85/32.44 |-Branch one:
% 70.85/32.44 | (703) all_0_9_9 = nil
% 70.85/32.44 |
% 70.85/32.44 | Equations (703) can reduce 612 to:
% 70.85/32.44 | (472) $false
% 70.85/32.44 |
% 70.85/32.44 |-The branch is then unsatisfiable
% 70.85/32.44 |-Branch two:
% 70.85/32.44 | (612) ~ (all_0_9_9 = nil)
% 70.85/32.44 | (2765) ? [v0] : ( ~ (v0 = 0) & ssList(all_0_9_9) = v0)
% 70.85/32.44 |
% 70.85/32.44 | Instantiating (2765) with all_349_0_449 yields:
% 70.85/32.44 | (2766) ~ (all_349_0_449 = 0) & ssList(all_0_9_9) = all_349_0_449
% 70.85/32.44 |
% 70.85/32.44 | Applying alpha-rule on (2766) yields:
% 70.85/32.44 | (2767) ~ (all_349_0_449 = 0)
% 70.85/32.44 | (2768) ssList(all_0_9_9) = all_349_0_449
% 70.85/32.44 |
% 70.85/32.44 | Instantiating formula (14) with all_0_9_9, all_349_0_449, 0 and discharging atoms ssList(all_0_9_9) = all_349_0_449, ssList(all_0_9_9) = 0, yields:
% 70.85/32.44 | (2769) all_349_0_449 = 0
% 70.85/32.44 |
% 70.85/32.44 | Equations (2769) can reduce 2767 to:
% 70.85/32.44 | (472) $false
% 70.85/32.44 |
% 70.85/32.44 |-The branch is then unsatisfiable
% 70.85/32.44 |-Branch two:
% 70.85/32.44 | (2771) cons(all_23_2_33, nil) = nil
% 70.85/32.44 | (2772) all_0_13_13 = 0 | ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_23_2_33) = v0))
% 70.85/32.44 |
% 70.85/32.44 +-Applying beta-rule and splitting (2772), into two cases.
% 70.85/32.44 |-Branch one:
% 70.85/32.44 | (2773) all_0_13_13 = 0
% 70.85/32.44 |
% 70.85/32.44 | Equations (2773) can reduce 69 to:
% 70.85/32.44 | (472) $false
% 70.85/32.44 |
% 70.85/32.44 |-The branch is then unsatisfiable
% 70.85/32.44 |-Branch two:
% 70.85/32.44 | (69) ~ (all_0_13_13 = 0)
% 70.85/32.44 | (2776) ? [v0] : (( ~ (v0 = 0) & ssList(nil) = v0) | ( ~ (v0 = 0) & ssItem(all_23_2_33) = v0))
% 70.85/32.44 |
% 70.85/32.44 | Instantiating (2776) with all_290_0_453 yields:
% 70.85/32.44 | (2777) ( ~ (all_290_0_453 = 0) & ssList(nil) = all_290_0_453) | ( ~ (all_290_0_453 = 0) & ssItem(all_23_2_33) = all_290_0_453)
% 70.85/32.44 |
% 70.85/32.44 +-Applying beta-rule and splitting (2777), into two cases.
% 70.85/32.44 |-Branch one:
% 70.85/32.44 | (2778) ~ (all_290_0_453 = 0) & ssList(nil) = all_290_0_453
% 70.85/32.44 |
% 70.85/32.44 | Applying alpha-rule on (2778) yields:
% 70.85/32.44 | (2779) ~ (all_290_0_453 = 0)
% 70.85/32.44 | (2780) ssList(nil) = all_290_0_453
% 70.85/32.44 |
% 70.85/32.44 | Instantiating formula (14) with nil, all_290_0_453, 0 and discharging atoms ssList(nil) = all_290_0_453, ssList(nil) = 0, yields:
% 70.85/32.44 | (2781) all_290_0_453 = 0
% 70.85/32.44 |
% 70.85/32.44 | Equations (2781) can reduce 2779 to:
% 70.85/32.44 | (472) $false
% 70.85/32.44 |
% 70.85/32.44 |-The branch is then unsatisfiable
% 70.85/32.44 |-Branch two:
% 70.85/32.44 | (2783) ~ (all_290_0_453 = 0) & ssItem(all_23_2_33) = all_290_0_453
% 70.85/32.44 |
% 70.85/32.44 | Applying alpha-rule on (2783) yields:
% 70.85/32.44 | (2779) ~ (all_290_0_453 = 0)
% 70.85/32.44 | (2785) ssItem(all_23_2_33) = all_290_0_453
% 70.85/32.44 |
% 70.85/32.44 +-Applying beta-rule and splitting (632), into two cases.
% 70.85/32.44 |-Branch one:
% 70.85/32.44 | (868) ~ (cons(all_23_2_33, nil) = nil)
% 70.85/32.44 |
% 70.85/32.44 | Using (2771) and (868) yields:
% 70.85/32.44 | (538) $false
% 70.85/32.44 |
% 70.85/32.44 |-The branch is then unsatisfiable
% 70.85/32.44 |-Branch two:
% 70.85/32.44 | (2771) cons(all_23_2_33, nil) = nil
% 70.85/32.44 | (2789) ? [v0] : ? [v1] : (hd(nil) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = all_23_2_33))
% 70.85/32.44 |
% 70.85/32.44 | Instantiating (2789) with all_310_0_481, all_310_1_482 yields:
% 70.85/32.44 | (2790) hd(nil) = all_310_0_481 & ssItem(all_23_2_33) = all_310_1_482 & ( ~ (all_310_1_482 = 0) | all_310_0_481 = all_23_2_33)
% 70.85/32.44 |
% 70.85/32.44 | Applying alpha-rule on (2790) yields:
% 70.85/32.44 | (2791) hd(nil) = all_310_0_481
% 70.85/32.44 | (2792) ssItem(all_23_2_33) = all_310_1_482
% 70.85/32.44 | (2793) ~ (all_310_1_482 = 0) | all_310_0_481 = all_23_2_33
% 70.85/32.44 |
% 70.85/32.44 +-Applying beta-rule and splitting (641), into two cases.
% 70.85/32.44 |-Branch one:
% 70.85/32.44 | (868) ~ (cons(all_23_2_33, nil) = nil)
% 70.85/32.44 |
% 70.85/32.44 | Using (2771) and (868) yields:
% 70.85/32.44 | (538) $false
% 70.85/32.44 |
% 70.85/32.44 |-The branch is then unsatisfiable
% 70.85/32.44 |-Branch two:
% 70.85/32.44 | (2771) cons(all_23_2_33, nil) = nil
% 70.85/32.44 | (2797) ? [v0] : ( ~ (v0 = 0) & ssItem(all_23_2_33) = v0)
% 70.85/32.44 |
% 70.85/32.44 | Instantiating (2797) with all_320_0_488 yields:
% 70.85/32.44 | (2798) ~ (all_320_0_488 = 0) & ssItem(all_23_2_33) = all_320_0_488
% 70.85/32.44 |
% 70.85/32.44 | Applying alpha-rule on (2798) yields:
% 70.85/32.44 | (2799) ~ (all_320_0_488 = 0)
% 70.85/32.45 | (2800) ssItem(all_23_2_33) = all_320_0_488
% 70.85/32.45 |
% 70.85/32.45 +-Applying beta-rule and splitting (628), into two cases.
% 70.85/32.45 |-Branch one:
% 70.85/32.45 | (868) ~ (cons(all_23_2_33, nil) = nil)
% 70.85/32.45 |
% 70.85/32.45 | Using (2771) and (868) yields:
% 70.85/32.45 | (538) $false
% 70.85/32.45 |
% 70.85/32.45 |-The branch is then unsatisfiable
% 70.85/32.45 |-Branch two:
% 70.85/32.45 | (2771) cons(all_23_2_33, nil) = nil
% 70.85/32.45 | (2804) ~ (app(all_0_3_3, all_0_2_2) = nil) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & ssList(all_0_3_3) = v0) | (cons(all_23_2_33, all_0_3_3) = v1 & app(v1, all_0_2_2) = v2 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v2 = nil)))
% 70.85/32.45 |
% 70.85/32.45 +-Applying beta-rule and splitting (631), into two cases.
% 70.85/32.45 |-Branch one:
% 70.85/32.45 | (868) ~ (cons(all_23_2_33, nil) = nil)
% 70.85/32.45 |
% 70.85/32.45 | Using (2771) and (868) yields:
% 70.85/32.45 | (538) $false
% 70.85/32.45 |
% 70.85/32.45 |-The branch is then unsatisfiable
% 70.85/32.45 |-Branch two:
% 70.85/32.45 | (2771) cons(all_23_2_33, nil) = nil
% 70.85/32.45 | (2808) ? [v0] : ? [v1] : (tl(nil) = v1 & ssItem(all_23_2_33) = v0 & ( ~ (v0 = 0) | v1 = nil))
% 70.85/32.45 |
% 70.85/32.45 | Instantiating (2808) with all_363_0_505, all_363_1_506 yields:
% 70.85/32.45 | (2809) tl(nil) = all_363_0_505 & ssItem(all_23_2_33) = all_363_1_506 & ( ~ (all_363_1_506 = 0) | all_363_0_505 = nil)
% 70.85/32.45 |
% 70.85/32.45 | Applying alpha-rule on (2809) yields:
% 70.85/32.45 | (2810) tl(nil) = all_363_0_505
% 70.85/32.45 | (2811) ssItem(all_23_2_33) = all_363_1_506
% 70.85/32.45 | (2812) ~ (all_363_1_506 = 0) | all_363_0_505 = nil
% 70.85/32.45 |
% 70.85/32.45 | Instantiating formula (79) with all_23_2_33, all_320_0_488, 0 and discharging atoms ssItem(all_23_2_33) = all_320_0_488, ssItem(all_23_2_33) = 0, yields:
% 70.85/32.45 | (2813) all_320_0_488 = 0
% 70.85/32.45 |
% 70.85/32.45 | Instantiating formula (79) with all_23_2_33, all_310_1_482, all_363_1_506 and discharging atoms ssItem(all_23_2_33) = all_363_1_506, ssItem(all_23_2_33) = all_310_1_482, yields:
% 70.85/32.45 | (2814) all_363_1_506 = all_310_1_482
% 70.85/32.45 |
% 70.85/32.45 | Instantiating formula (79) with all_23_2_33, all_310_1_482, all_320_0_488 and discharging atoms ssItem(all_23_2_33) = all_320_0_488, ssItem(all_23_2_33) = all_310_1_482, yields:
% 70.85/32.45 | (2815) all_320_0_488 = all_310_1_482
% 70.85/32.45 |
% 70.85/32.45 | Instantiating formula (79) with all_23_2_33, all_290_0_453, all_363_1_506 and discharging atoms ssItem(all_23_2_33) = all_363_1_506, ssItem(all_23_2_33) = all_290_0_453, yields:
% 70.85/32.45 | (2816) all_363_1_506 = all_290_0_453
% 70.85/32.45 |
% 70.85/32.45 | Combining equations (2814,2816) yields a new equation:
% 70.85/32.45 | (2817) all_310_1_482 = all_290_0_453
% 70.85/32.45 |
% 70.85/32.45 | Simplifying 2817 yields:
% 70.85/32.45 | (2818) all_310_1_482 = all_290_0_453
% 70.85/32.45 |
% 70.85/32.45 | Combining equations (2815,2813) yields a new equation:
% 70.85/32.45 | (2819) all_310_1_482 = 0
% 70.85/32.45 |
% 70.85/32.45 | Simplifying 2819 yields:
% 70.85/32.45 | (2820) all_310_1_482 = 0
% 70.85/32.45 |
% 70.85/32.45 | Combining equations (2820,2818) yields a new equation:
% 70.85/32.45 | (2781) all_290_0_453 = 0
% 70.85/32.45 |
% 70.85/32.45 | Equations (2781) can reduce 2779 to:
% 70.85/32.45 | (472) $false
% 70.85/32.45 |
% 70.85/32.45 |-The branch is then unsatisfiable
% 70.85/32.45 |-Branch two:
% 70.85/32.45 | (2823) ~ (all_0_8_8 = all_0_10_10)
% 70.85/32.45 | (2824) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 70.85/32.45 |
% 70.85/32.45 | Instantiating (2824) with all_144_0_510 yields:
% 70.85/32.45 | (2825) ~ (all_144_0_510 = 0) & ssItem(all_0_8_8) = all_144_0_510
% 70.85/32.45 |
% 70.85/32.45 | Applying alpha-rule on (2825) yields:
% 70.85/32.45 | (2826) ~ (all_144_0_510 = 0)
% 70.85/32.45 | (2827) ssItem(all_0_8_8) = all_144_0_510
% 70.85/32.45 |
% 70.85/32.45 | Instantiating formula (79) with all_0_8_8, all_144_0_510, 0 and discharging atoms ssItem(all_0_8_8) = all_144_0_510, ssItem(all_0_8_8) = 0, yields:
% 70.85/32.45 | (2828) all_144_0_510 = 0
% 70.85/32.45 |
% 70.85/32.45 | Equations (2828) can reduce 2826 to:
% 70.85/32.45 | (472) $false
% 70.85/32.45 |
% 70.85/32.45 |-The branch is then unsatisfiable
% 70.85/32.45 |-Branch two:
% 70.85/32.45 | (2830) cons(all_0_8_8, nil) = nil
% 70.85/32.45 | (2824) ? [v0] : ( ~ (v0 = 0) & ssItem(all_0_8_8) = v0)
% 70.85/32.45 |
% 70.85/32.45 | Instantiating (2824) with all_84_0_515 yields:
% 70.85/32.45 | (2832) ~ (all_84_0_515 = 0) & ssItem(all_0_8_8) = all_84_0_515
% 70.85/32.45 |
% 70.85/32.45 | Applying alpha-rule on (2832) yields:
% 70.85/32.45 | (2833) ~ (all_84_0_515 = 0)
% 70.85/32.45 | (2834) ssItem(all_0_8_8) = all_84_0_515
% 70.85/32.45 |
% 70.85/32.45 | Instantiating formula (79) with all_0_8_8, all_84_0_515, 0 and discharging atoms ssItem(all_0_8_8) = all_84_0_515, ssItem(all_0_8_8) = 0, yields:
% 70.85/32.45 | (2835) all_84_0_515 = 0
% 70.85/32.45 |
% 70.85/32.45 | Equations (2835) can reduce 2833 to:
% 70.85/32.45 | (472) $false
% 70.85/32.45 |
% 70.85/32.45 |-The branch is then unsatisfiable
% 70.85/32.45 |-Branch two:
% 70.85/32.45 | (2837) ~ (all_23_2_33 = 0) & ssList(all_0_12_12) = all_23_2_33
% 70.85/32.45 |
% 70.85/32.45 | Applying alpha-rule on (2837) yields:
% 70.85/32.45 | (2838) ~ (all_23_2_33 = 0)
% 70.85/32.45 | (2839) ssList(all_0_12_12) = all_23_2_33
% 70.85/32.45 |
% 70.85/32.45 | Instantiating formula (14) with all_0_12_12, all_23_2_33, 0 and discharging atoms ssList(all_0_12_12) = all_23_2_33, ssList(all_0_12_12) = 0, yields:
% 70.85/32.45 | (2840) all_23_2_33 = 0
% 70.85/32.45 |
% 70.85/32.45 | Equations (2840) can reduce 2838 to:
% 70.85/32.45 | (472) $false
% 70.85/32.45 |
% 70.85/32.45 |-The branch is then unsatisfiable
% 70.85/32.45 % SZS output end Proof for theBenchmark
% 70.85/32.45
% 70.85/32.45 31856ms
%------------------------------------------------------------------------------