TSTP Solution File: COM131+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : COM131+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 : Fri Jul 15 01:08:14 EDT 2022
% Result : Theorem 33.91s 9.30s
% Output : Proof 37.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : COM131+1 : TPTP v8.1.0. Released v6.4.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 18:22:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.59 ____ _
% 0.20/0.59 ___ / __ \_____(_)___ ________ __________
% 0.20/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.59
% 0.20/0.59 A Theorem Prover for First-Order Logic
% 0.20/0.59 (ePrincess v.1.0)
% 0.20/0.59
% 0.20/0.59 (c) Philipp Rümmer, 2009-2015
% 0.20/0.59 (c) Peter Backeman, 2014-2015
% 0.20/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.59 Bug reports to peter@backeman.se
% 0.20/0.59
% 0.20/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.59
% 0.20/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.30/1.10 Prover 0: Preprocessing ...
% 4.12/1.60 Prover 0: Warning: ignoring some quantifiers
% 4.12/1.63 Prover 0: Constructing countermodel ...
% 19.87/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.19/6.06 Prover 1: Preprocessing ...
% 21.19/6.25 Prover 1: Constructing countermodel ...
% 30.72/8.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 30.94/8.64 Prover 2: Preprocessing ...
% 31.65/8.80 Prover 2: Warning: ignoring some quantifiers
% 31.65/8.80 Prover 2: Constructing countermodel ...
% 33.79/9.29 Prover 2: proved (757ms)
% 33.91/9.30 Prover 1: stopped
% 33.91/9.30 Prover 0: stopped
% 33.91/9.30
% 33.91/9.30 No countermodel exists, formula is valid
% 33.91/9.30 % SZS status Theorem for theBenchmark
% 33.91/9.30
% 33.91/9.30 Generating proof ... Warning: ignoring some quantifiers
% 36.46/9.96 found it (size 91)
% 36.46/9.96
% 36.46/9.96 % SZS output start Proof for theBenchmark
% 36.46/9.96 Assumed formulas after preprocessing and simplification:
% 36.46/9.96 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & ~ (v7 = 0) & ~ (v4 = v2) & vsubst(v2, v3, v9) = v10 & vtcheck(v8, v9, v6) = 0 & vtcheck(v1, v10, v6) = v11 & vtcheck(v1, v3, v0) = 0 & vbind(v2, v0, v1) = v8 & visFreeVar(v4, v3) = v7 & vabs(v4, v5, veabs) = v9 & ~ (visSomeExp(vnoExp) = 0) & ~ (visSomeType(vnoType) = 0) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v15 | v17 = v12 | ~ (vsubst(v17, v20, v19) = v21) | ~ (vsubst(v12, v13, v22) = v23) | ~ (vsubst(v12, v13, v14) = v15) | ~ (vabs(v18, v16, v21) = v22) | ~ (vvar(v18) = v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v27 = v18) & vgensym(v26) = v27 & vapp(v24, v25) = v26 & vapp(v13, v19) = v24 & vvar(v12) = v25) | ( ~ (v24 = v14) & vabs(v17, v16, v19) = v24) | ( ~ (v24 = 0) & visFreeVar(v17, v13) = v24))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v14 | ~ (vreduce(v13) = v14) | ~ (vreduce(v12) = v18) | ~ (vgetSomeExp(v18) = v20) | ~ (vsomeExp(v21) = v22) | ~ (vapp(v19, v20) = v21) | ~ (vabs(v15, v16, v17) = v19) | ? [v23] : (( ~ (v23 = v13) & vapp(v19, v12) = v23) | ( ~ (v23 = 0) & visSomeExp(v18) = v23))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v14 | ~ (vreduce(v13) = v14) | ~ (vgetSomeExp(v18) = v20) | ~ (vsomeExp(v21) = v22) | ~ (vapp(v19, v20) = v21) | ~ (vapp(v19, v12) = v13) | ~ (vabs(v15, v16, v17) = v19) | ? [v23] : (( ~ (v23 = v18) & vreduce(v12) = v23) | ( ~ (v23 = 0) & visSomeExp(v18) = v23))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (vsubst(v14, v15, v20) = v21) | ~ (vtcheck(v19, v20, v18) = 0) | ~ (vtcheck(v13, v21, v18) = v22) | ~ (vbind(v14, v12, v13) = v19) | ~ (vabs(v14, v16, v17) = v20) | ? [v23] : ( ~ (v23 = 0) & vtcheck(v13, v15, v12) = v23)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | v14 = v12 | ~ (vtcheck(v20, v17, v18) = v21) | ~ (vbind(v14, v15, v16) = v19) | ~ (vbind(v12, v13, v19) = v20) | ? [v22] : ? [v23] : ? [v24] : ( ~ (v24 = 0) & vtcheck(v23, v17, v18) = v24 & vbind(v14, v15, v22) = v23 & vbind(v12, v13, v16) = v22)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (vsubst(v14, v15, v19) = v20) | ~ (vtcheck(v13, v20, v18) = v21) | ~ (vtcheck(v13, v15, v12) = 0) | ~ (vabs(v14, v16, v17) = v19) | ? [v22] : ? [v23] : ( ~ (v23 = 0) & vtcheck(v22, v19, v18) = v23 & vbind(v14, v12, v13) = v22)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v15 | v16 = v12 | ~ (vsubst(v12, v13, v18) = v19) | ~ (vsubst(v12, v13, v14) = v15) | ~ (vabs(v16, v17, v19) = v20) | ? [v21] : ((v21 = 0 & visFreeVar(v16, v13) = 0) | ( ~ (v21 = v14) & vabs(v16, v17, v18) = v21))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v15 | ~ (vsubst(v12, v13, v17) = v19) | ~ (vsubst(v12, v13, v16) = v18) | ~ (vsubst(v12, v13, v14) = v15) | ~ (vapp(v18, v19) = v20) | ? [v21] : ( ~ (v21 = v14) & vapp(v16, v17) = v21)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | v18 = vnoExp | ~ (vreduce(v17) = v18) | ~ (visSomeExp(v15) = v20) | ~ (vapp(v19, v16) = v17) | ~ (vabs(v12, v13, v14) = v19) | ? [v21] : ((v21 = 0 & visValue(v16) = 0) | ( ~ (v21 = v15) & vreduce(v16) = v21))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (vreduce(v14) = v15) | ~ (visSomeExp(v13) = v20) | ~ (vapp(v19, v17) = v14) | ~ (vabs(v16, v12, v18) = v19) | ? [v21] : ? [v22] : ((v22 = v15 & vsomeExp(v21) = v15 & vsubst(v16, v17, v18) = v21) | ( ~ (v21 = v13) & vreduce(v17) = v21) | ( ~ (v21 = 0) & visValue(v17) = v21))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v14 = v12 | ~ (vtcheck(v20, v17, v18) = 0) | ~ (vbind(v14, v15, v19) = v20) | ~ (vbind(v12, v13, v16) = v19) | ? [v21] : ? [v22] : (vtcheck(v22, v17, v18) = 0 & vbind(v14, v15, v16) = v21 & vbind(v12, v13, v21) = v22)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (vtcheck(v19, v20, v18) = 0) | ~ (vtcheck(v13, v15, v12) = 0) | ~ (vbind(v14, v12, v13) = v19) | ~ (vabs(v14, v16, v17) = v20) | ? [v21] : (vsubst(v14, v15, v20) = v21 & vtcheck(v13, v21, v18) = 0)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v14 | ~ (vreduce(v13) = v14) | ~ (vreduce(v12) = v15) | ~ (vgetSomeExp(v15) = v17) | ~ (vsomeExp(v18) = v19) | ~ (vapp(v17, v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v12 & vabs(v20, v21, v22) = v12) | ( ~ (v20 = v13) & vapp(v12, v16) = v20) | ( ~ (v20 = 0) & visSomeExp(v15) = v20))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v14 | ~ (vreduce(v13) = v14) | ~ (vgetSomeExp(v15) = v17) | ~ (vsomeExp(v18) = v19) | ~ (vapp(v17, v16) = v18) | ~ (vapp(v12, v16) = v13) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v23 = v12 & vabs(v20, v21, v22) = v12) | ( ~ (v20 = v15) & vreduce(v12) = v20) | ( ~ (v20 = 0) & visSomeExp(v15) = v20))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (varrow(v15, v16) = v18) | ~ (vtcheck(v12, v17, v18) = v19) | ~ (vabs(v13, v15, v14) = v17) | ? [v20] : ? [v21] : ( ~ (v21 = 0) & vtcheck(v20, v14, v16) = v21 & vbind(v13, v15, v12) = v20)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (varrow(v12, v16) = v17) | ~ (vtcheck(v13, v18, v16) = v19) | ~ (vtcheck(v13, v14, v17) = 0) | ~ (vapp(v14, v15) = v18) | ? [v20] : ( ~ (v20 = 0) & vtcheck(v13, v15, v12) = v20)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (vsubst(v14, v15, veabs) = v18) | ~ (vtcheck(v17, veabs, v16) = 0) | ~ (vtcheck(v13, v18, v16) = v19) | ~ (vbind(v14, v12, v13) = v17) | ? [v20] : ( ~ (v20 = 0) & vtcheck(v13, v15, v12) = v20)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (vreduce(v13) = v14) | ~ (visSomeExp(v18) = 0) | ~ (vapp(v19, v12) = v13) | ~ (vabs(v15, v16, v17) = v19) | ? [v20] : ? [v21] : ? [v22] : ((v22 = v14 & vgetSomeExp(v18) = v20 & vsomeExp(v21) = v14 & vapp(v19, v20) = v21) | ( ~ (v20 = v18) & vreduce(v12) = v20))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (vtcheck(v19, v16, v17) = 0) | ~ (vbind(v12, v14, v18) = v19) | ~ (vbind(v12, v13, v15) = v18) | ? [v20] : (vtcheck(v20, v16, v17) = 0 & vbind(v12, v14, v15) = v20)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | v14 = v13 | ~ (vlookup(v14, v17) = v18) | ~ (vlookup(v14, v15) = v16) | ~ (vbind(v13, v12, v17) = v15)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (vsubst(v14, v15, veabs) = v17) | ~ (vtcheck(v13, v17, v16) = v18) | ~ (vtcheck(v13, v15, v12) = 0) | ? [v19] : ? [v20] : ( ~ (v20 = 0) & vtcheck(v19, veabs, v16) = v20 & vbind(v14, v12, v13) = v19)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (vtcheck(v17, v15, v16) = v18) | ~ (vbind(v12, v13, v14) = v17) | ? [v19] : ((v19 = 0 & visFreeVar(v12, v15) = 0) | ( ~ (v19 = 0) & vtcheck(v14, v15, v16) = v19))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (vtcheck(v17, v15, v16) = v18) | ~ (vbind(v12, v13, v14) = v17) | ? [v19] : (( ~ (v19 = vnoType) & vlookup(v12, v14) = v19) | ( ~ (v19 = 0) & vtcheck(v14, v15, v16) = v19))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (vtcheck(v13, v17, v16) = v18) | ~ (vtcheck(v13, v15, v12) = 0) | ~ (vapp(v14, v15) = v17) | ? [v19] : ? [v20] : ( ~ (v20 = 0) & varrow(v12, v16) = v19 & vtcheck(v13, v14, v19) = v20)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = v14 | ~ (vbind(v15, v16, v17) = v18) | ~ (vbind(v12, v13, v14) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = v14 | ~ (vabs(v15, v16, v17) = v18) | ~ (vabs(v12, v13, v14) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v13 | ~ (vbind(v15, v16, v17) = v18) | ~ (vbind(v12, v13, v14) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v13 | ~ (vabs(v15, v16, v17) = v18) | ~ (vabs(v12, v13, v14) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v12 | ~ (vbind(v15, v16, v17) = v18) | ~ (vbind(v12, v13, v14) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v12 | ~ (vabs(v15, v16, v17) = v18) | ~ (vabs(v12, v13, v14) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | v16 = vnoExp | ~ (vreduce(v15) = v16) | ~ (visSomeExp(v14) = v17) | ~ (vapp(v13, v12) = v15) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = v13 & vabs(v18, v19, v20) = v13) | ( ~ (v18 = v14) & vreduce(v13) = v18))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | v16 = 0 | ~ (visFreeVar(v12, v15) = v17) | ~ (visFreeVar(v12, v14) = v16) | ~ (visFreeVar(v12, v13) = 0) | ? [v18] : ( ~ (v18 = v13) & vapp(v14, v15) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | v15 = v13 | ~ (visFreeVar(v13, v16) = 0) | ~ (visFreeVar(v13, v14) = v17) | ~ (vabs(v15, v12, v16) = v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (visFreeVar(v13, v16) = v17) | ~ (visFreeVar(v13, v14) = 0) | ~ (vabs(v15, v12, v16) = v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (visFreeVar(v12, v15) = v16) | ~ (visFreeVar(v12, v14) = 0) | ~ (visFreeVar(v12, v13) = v17) | ? [v18] : ( ~ (v18 = v13) & vapp(v14, v15) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (visFreeVar(v12, v15) = 0) | ~ (visFreeVar(v12, v14) = v16) | ~ (visFreeVar(v12, v13) = v17) | ? [v18] : ( ~ (v18 = v13) & vapp(v14, v15) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (vsubst(v13, v12, v14) = v15) | ~ (vabs(v13, v16, v17) = v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (varrow(v12, v16) = v17) | ~ (vtcheck(v13, v15, v12) = 0) | ~ (vtcheck(v13, v14, v17) = 0) | ? [v18] : (vtcheck(v13, v18, v16) = 0 & vapp(v14, v15) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (vtcheck(v17, v15, v16) = 0) | ~ (vbind(v12, v13, v14) = v17) | ? [v18] : ((v18 = 0 & vtcheck(v14, v15, v16) = 0) | (v18 = 0 & visFreeVar(v12, v15) = 0))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (vtcheck(v17, v14, v16) = 0) | ~ (vbind(v13, v15, v12) = v17) | ? [v18] : ? [v19] : (varrow(v15, v16) = v19 & vtcheck(v12, v18, v19) = 0 & vabs(v13, v15, v14) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (vtcheck(v17, veabs, v16) = 0) | ~ (vtcheck(v13, v15, v12) = 0) | ~ (vbind(v14, v12, v13) = v17) | ? [v18] : (vsubst(v14, v15, veabs) = v18 & vtcheck(v13, v18, v16) = 0)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (visFreeVar(v12, v15) = v16) | ~ (visFreeVar(v12, v13) = v17) | ~ (vapp(v14, v15) = v13) | ? [v18] : (( ~ (v17 = 0) | v16 = 0 | (v18 = 0 & visFreeVar(v12, v14) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & ~ (v16 = 0) & visFreeVar(v12, v14) = v18)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (visFreeVar(v12, v14) = v16) | ~ (visFreeVar(v12, v13) = v17) | ~ (vapp(v14, v15) = v13) | ? [v18] : (( ~ (v17 = 0) | v16 = 0 | (v18 = 0 & visFreeVar(v12, v15) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & ~ (v16 = 0) & visFreeVar(v12, v15) = v18)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (vapp(v15, v16) = v17) | ~ (vabs(v12, v13, v14) = v17)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v15 | ~ (vbind(v12, v13, v14) = v16) | ~ (vbind(v12, v13, v14) = v15)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v15 | ~ (vabs(v12, v13, v14) = v16) | ~ (vabs(v12, v13, v14) = v15)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v13 | v15 = v14 | ~ (vsubst(v13, v12, v14) = v15) | ~ (vvar(v16) = v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = vnoExp | ~ (vreduce(v15) = v16) | ~ (vabs(v12, v13, v14) = v15)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (vtcheck(v12, v15, v14) = v16) | ~ (vvar(v13) = v15) | ? [v17] : ? [v18] : ( ~ (v18 = v17) & vlookup(v13, v12) = v17 & vsomeType(v14) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (visValue(v15) = v16) | ~ (vabs(v12, v13, v14) = v15)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = v13 | ~ (varrow(v14, v15) = v16) | ~ (varrow(v12, v13) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = v13 | ~ (vapp(v14, v15) = v16) | ~ (vapp(v12, v13) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v12 | ~ (varrow(v14, v15) = v16) | ~ (varrow(v12, v13) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v12 | ~ (vapp(v14, v15) = v16) | ~ (vapp(v12, v13) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (vsubst(v16, v15, v14) = v13) | ~ (vsubst(v16, v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (vtcheck(v16, v15, v14) = v13) | ~ (vtcheck(v16, v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (vbind(v16, v15, v14) = v13) | ~ (vbind(v16, v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (vabs(v16, v15, v14) = v13) | ~ (vabs(v16, v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (vreduce(v13) = v14) | ~ (visSomeExp(v15) = 0) | ~ (vapp(v12, v16) = v13) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v20 = v12 & vabs(v17, v18, v19) = v12) | (v19 = v14 & vgetSomeExp(v15) = v17 & vsomeExp(v18) = v14 & vapp(v17, v16) = v18) | ( ~ (v17 = v15) & vreduce(v12) = v17))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (vlookup(v13, v14) = v15) | ~ (vbind(v13, v16, v12) = v14) | vsomeType(v16) = v15) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (visFreeVar(v13, v15) = v16) | ~ (visFreeVar(v13, v14) = 0) | ~ (vabs(v13, v12, v15) = v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (vabs(v13, v14, v15) = v16) | ~ (vvar(v12) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (varrow(v12, v13) = v15) | ~ (varrow(v12, v13) = v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (vapp(v12, v13) = v15) | ~ (vapp(v12, v13) = v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (vsubst(v12, v13, v14) = v15) | ~ (vvar(v12) = v14)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (varrow(v15, v14) = v13) | ~ (varrow(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (vlookup(v15, v14) = v13) | ~ (vlookup(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (visFreeVar(v15, v14) = v13) | ~ (visFreeVar(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (vapp(v15, v14) = v13) | ~ (vapp(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (vsubst(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v31 = v15 & v27 = v20 & v23 = 0 & v22 = v14 & v17 = v13 & v16 = v12 & ~ (v19 = v12) & vsubst(v19, v28, v21) = v29 & vsubst(v12, v13, v30) = v15 & vgensym(v26) = v20 & visFreeVar(v19, v13) = 0 & vapp(v24, v25) = v26 & vapp(v13, v21) = v24 & vabs(v20, v18, v29) = v30 & vabs(v19, v18, v21) = v14 & vvar(v20) = v28 & vvar(v12) = v25) | (v24 = v15 & v21 = v14 & v19 = v13 & v18 = v12 & ~ (v22 = 0) & ~ (v16 = v12) & vsubst(v12, v13, v20) = v23 & visFreeVar(v16, v13) = v22 & vabs(v16, v17, v23) = v15 & vabs(v16, v17, v20) = v14) | (v23 = v15 & v20 = v14 & v18 = v13 & v17 = v12 & vsubst(v12, v13, v19) = v22 & vsubst(v12, v13, v16) = v21 & vapp(v21, v22) = v15 & vapp(v16, v19) = v14) | (v21 = v14 & v18 = v12 & v17 = v12 & v16 = v13 & v15 = v14 & vabs(v12, v19, v20) = v14) | (v19 = v14 & v18 = v13 & v17 = v12 & v16 = v12 & v15 = v13 & vvar(v12) = v14) | (v19 = v14 & v17 = v12 & v16 = v13 & v15 = v14 & ~ (v18 = v12) & vvar(v18) = v14))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (vapp(v13, v14) = v15) | ~ (vvar(v12) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (vgetSomeExp(v12) = v13) | ~ (vsomeExp(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (vsomeExp(v12) = v14) | ~ (vsomeExp(v12) = v13)) & ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (vgetSomeType(v12) = v13) | ~ (vsomeType(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (vsomeType(v12) = v14) | ~ (vsomeType(v12) = v13)) & ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (vvar(v12) = v14) | ~ (vvar(v12) = v13)) & ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (visFreeVar(v12, v13) = 0) | ~ (vvar(v14) = v13)) & ! [v12] : ! [v13] : ! [v14] : (v14 = vnoExp | ~ (vreduce(v13) = v14) | ~ (vvar(v12) = v13)) & ! [v12] : ! [v13] : ! [v14] : (v14 = vnoType | ~ (vlookup(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v20 = v14 & v19 = v13 & v17 = v12 & v16 = v12 & vsomeType(v18) = v14 & vbind(v12, v18, v15) = v13) | (v20 = v14 & v19 = v13 & v17 = v12 & ~ (v16 = v12) & vlookup(v12, v18) = v14 & vbind(v16, v15, v18) = v13))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (visSomeExp(v13) = v14) | ~ (vsomeExp(v12) = v13)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (visSomeType(v13) = v14) | ~ (vsomeType(v12) = v13)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (visFreeVar(v12, v13) = v14) | ~ (vvar(v12) = v13)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vreduce(v14) = v13) | ~ (vreduce(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vgetSomeExp(v14) = v13) | ~ (vgetSomeExp(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (visSomeExp(v14) = v13) | ~ (visSomeExp(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vsomeExp(v14) = v13) | ~ (vsomeExp(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vsomeExp(v13) = v14) | ~ (vsomeExp(v12) = v14)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vgensym(v14) = v13) | ~ (vgensym(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vgetSomeType(v14) = v13) | ~ (vgetSomeType(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (visSomeType(v14) = v13) | ~ (visSomeType(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vsomeType(v14) = v13) | ~ (vsomeType(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vsomeType(v13) = v14) | ~ (vsomeType(v12) = v14)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (visValue(v14) = v13) | ~ (visValue(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vvar(v14) = v13) | ~ (vvar(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (vvar(v13) = v14) | ~ (vvar(v12) = v14)) & ! [v12] : ! [v13] : ! [v14] : (v13 = vempty | ~ (vlookup(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v20 = v14 & v19 = v13 & v17 = v12 & v16 = v12 & vsomeType(v18) = v14 & vbind(v12, v18, v15) = v13) | (v20 = v14 & v19 = v13 & v17 = v12 & ~ (v16 = v12) & vlookup(v12, v18) = v14 & vbind(v16, v15, v18) = v13))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (vtcheck(v14, v12, v13) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v22 = 0 & v20 = v13 & v19 = v12 & varrow(v17, v18) = v13 & vtcheck(v21, v16, v18) = 0 & vbind(v15, v17, v14) = v21 & vabs(v15, v17, v16) = v12) | (v21 = 0 & v20 = 0 & v18 = v12 & varrow(v17, v13) = v19 & vtcheck(v14, v16, v17) = 0 & vtcheck(v14, v15, v19) = 0 & vapp(v15, v16) = v12) | (v18 = v15 & v17 = v12 & vlookup(v16, v14) = v15 & vsomeType(v13) = v15 & vvar(v16) = v12))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (vlookup(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (v15 = v12 | (v20 = v14 & v19 = v13 & v17 = v12 & v16 = v12 & vsomeType(v18) = v14 & vbind(v12, v18, v15) = v13) | (v20 = v14 & v19 = v13 & v17 = v12 & ~ (v16 = v12) & vlookup(v12, v18) = v14 & vbind(v16, v15, v18) = v13))) & ! [v12] : ! [v13] : ! [v14] : ~ (vbind(v12, v13, v14) = vempty) & ! [v12] : ! [v13] : ! [v14] : ( ~ (visValue(v14) = 0) | ~ (vapp(v12, v13) = v14)) & ! [v12] : ! [v13] : (v13 = vnoType | ~ (vlookup(v12, vempty) = v13)) & ! [v12] : ! [v13] : ( ~ (vreduce(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v25 = v13 & v23 = 0 & v21 = v15 & v20 = v12 & ~ (v22 = 0) & vreduce(v17) = v15 & visSomeExp(v15) = v22 & vsomeExp(v24) = v13 & vsubst(v16, v17, v18) = v24 & visValue(v17) = 0 & vapp(v19, v17) = v12 & vabs(v16, v14, v18) = v19) | (v25 = v13 & v22 = 0 & v21 = v18 & v20 = v12 & vreduce(v14) = v18 & vgetSomeExp(v18) = v23 & visSomeExp(v18) = 0 & vsomeExp(v24) = v13 & vapp(v19, v23) = v24 & vapp(v19, v14) = v12 & vabs(v15, v16, v17) = v19) | (v22 = v13 & v19 = 0 & v18 = v15 & v17 = v12 & vreduce(v14) = v15 & vgetSomeExp(v15) = v20 & visSomeExp(v15) = 0 & vsomeExp(v21) = v13 & vapp(v20, v16) = v21 & vapp(v14, v16) = v12 & ! [v26] : ! [v27] : ! [v28] : ~ (vabs(v26, v27, v28) = v14)) | (v21 = v17 & v20 = v12 & v13 = vnoExp & ~ (v23 = 0) & ~ (v22 = 0) & vreduce(v18) = v17 & visSomeExp(v17) = v22 & visValue(v18) = v23 & vapp(v19, v18) = v12 & vabs(v14, v15, v16) = v19) | (v18 = v16 & v17 = v12 & v13 = vnoExp & ~ (v19 = 0) & vreduce(v15) = v16 & visSomeExp(v16) = v19 & vapp(v15, v14) = v12 & ! [v26] : ! [v27] : ! [v28] : ~ (vabs(v26, v27, v28) = v15)) | (v17 = v12 & v13 = vnoExp & vabs(v14, v15, v16) = v12) | (v15 = v12 & v13 = vnoExp & vvar(v14) = v12))) & ! [v12] : ! [v13] : ( ~ (visFreeVar(v12, v13) = 0) | ? [v14] : ( ~ (v14 = v12) & vgensym(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (visValue(v13) = 0) | ~ (vvar(v12) = v13)) & ! [v12] : ~ (vsomeExp(v12) = vnoExp) & ! [v12] : ~ (vsomeType(v12) = vnoType) & ? [v12] : ? [v13] : ? [v14] : ? [v15] : vsubst(v14, v13, v12) = v15 & ? [v12] : ? [v13] : ? [v14] : ? [v15] : vtcheck(v14, v13, v12) = v15 & ? [v12] : ? [v13] : ? [v14] : ? [v15] : vbind(v14, v13, v12) = v15 & ? [v12] : ? [v13] : ? [v14] : ? [v15] : vabs(v14, v13, v12) = v15 & ? [v12] : ? [v13] : ? [v14] : varrow(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : vlookup(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : visFreeVar(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : vapp(v13, v12) = v14 & ? [v12] : ? [v13] : vreduce(v12) = v13 & ? [v12] : ? [v13] : vgetSomeExp(v12) = v13 & ? [v12] : ? [v13] : visSomeExp(v12) = v13 & ? [v12] : ? [v13] : vsomeExp(v12) = v13 & ? [v12] : ? [v13] : vgensym(v12) = v13 & ? [v12] : ? [v13] : vgetSomeType(v12) = v13 & ? [v12] : ? [v13] : visSomeType(v12) = v13 & ? [v12] : ? [v13] : vsomeType(v12) = v13 & ? [v12] : ? [v13] : visValue(v12) = v13 & ? [v12] : ? [v13] : vvar(v12) = v13)
% 36.84/10.03 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11 yields:
% 36.84/10.03 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_4_4 = 0) & ~ (all_0_7_7 = all_0_9_9) & vsubst(all_0_9_9, all_0_8_8, all_0_2_2) = all_0_1_1 & vtcheck(all_0_3_3, all_0_2_2, all_0_5_5) = 0 & vtcheck(all_0_10_10, all_0_1_1, all_0_5_5) = all_0_0_0 & vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = 0 & vbind(all_0_9_9, all_0_11_11, all_0_10_10) = all_0_3_3 & visFreeVar(all_0_7_7, all_0_8_8) = all_0_4_4 & vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2 & ~ (visSomeExp(vnoExp) = 0) & ~ (visSomeType(vnoType) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v3 | v5 = v0 | ~ (vsubst(v5, v8, v7) = v9) | ~ (vsubst(v0, v1, v10) = v11) | ~ (vsubst(v0, v1, v2) = v3) | ~ (vabs(v6, v4, v9) = v10) | ~ (vvar(v6) = v8) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (( ~ (v15 = v6) & vgensym(v14) = v15 & vapp(v12, v13) = v14 & vapp(v1, v7) = v12 & vvar(v0) = v13) | ( ~ (v12 = v2) & vabs(v5, v4, v7) = v12) | ( ~ (v12 = 0) & visFreeVar(v5, v1) = v12))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v2 | ~ (vreduce(v1) = v2) | ~ (vreduce(v0) = v6) | ~ (vgetSomeExp(v6) = v8) | ~ (vsomeExp(v9) = v10) | ~ (vapp(v7, v8) = v9) | ~ (vabs(v3, v4, v5) = v7) | ? [v11] : (( ~ (v11 = v1) & vapp(v7, v0) = v11) | ( ~ (v11 = 0) & visSomeExp(v6) = v11))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v2 | ~ (vreduce(v1) = v2) | ~ (vgetSomeExp(v6) = v8) | ~ (vsomeExp(v9) = v10) | ~ (vapp(v7, v8) = v9) | ~ (vapp(v7, v0) = v1) | ~ (vabs(v3, v4, v5) = v7) | ? [v11] : (( ~ (v11 = v6) & vreduce(v0) = v11) | ( ~ (v11 = 0) & visSomeExp(v6) = v11))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (vsubst(v2, v3, v8) = v9) | ~ (vtcheck(v7, v8, v6) = 0) | ~ (vtcheck(v1, v9, v6) = v10) | ~ (vbind(v2, v0, v1) = v7) | ~ (vabs(v2, v4, v5) = v8) | ? [v11] : ( ~ (v11 = 0) & vtcheck(v1, v3, v0) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v2 = v0 | ~ (vtcheck(v8, v5, v6) = v9) | ~ (vbind(v2, v3, v4) = v7) | ~ (vbind(v0, v1, v7) = v8) | ? [v10] : ? [v11] : ? [v12] : ( ~ (v12 = 0) & vtcheck(v11, v5, v6) = v12 & vbind(v2, v3, v10) = v11 & vbind(v0, v1, v4) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (vsubst(v2, v3, v7) = v8) | ~ (vtcheck(v1, v8, v6) = v9) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vabs(v2, v4, v5) = v7) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & vtcheck(v10, v7, v6) = v11 & vbind(v2, v0, v1) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v3 | v4 = v0 | ~ (vsubst(v0, v1, v6) = v7) | ~ (vsubst(v0, v1, v2) = v3) | ~ (vabs(v4, v5, v7) = v8) | ? [v9] : ((v9 = 0 & visFreeVar(v4, v1) = 0) | ( ~ (v9 = v2) & vabs(v4, v5, v6) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v3 | ~ (vsubst(v0, v1, v5) = v7) | ~ (vsubst(v0, v1, v4) = v6) | ~ (vsubst(v0, v1, v2) = v3) | ~ (vapp(v6, v7) = v8) | ? [v9] : ( ~ (v9 = v2) & vapp(v4, v5) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | v6 = vnoExp | ~ (vreduce(v5) = v6) | ~ (visSomeExp(v3) = v8) | ~ (vapp(v7, v4) = v5) | ~ (vabs(v0, v1, v2) = v7) | ? [v9] : ((v9 = 0 & visValue(v4) = 0) | ( ~ (v9 = v3) & vreduce(v4) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (vreduce(v2) = v3) | ~ (visSomeExp(v1) = v8) | ~ (vapp(v7, v5) = v2) | ~ (vabs(v4, v0, v6) = v7) | ? [v9] : ? [v10] : ((v10 = v3 & vsomeExp(v9) = v3 & vsubst(v4, v5, v6) = v9) | ( ~ (v9 = v1) & vreduce(v5) = v9) | ( ~ (v9 = 0) & visValue(v5) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v2 = v0 | ~ (vtcheck(v8, v5, v6) = 0) | ~ (vbind(v2, v3, v7) = v8) | ~ (vbind(v0, v1, v4) = v7) | ? [v9] : ? [v10] : (vtcheck(v10, v5, v6) = 0 & vbind(v2, v3, v4) = v9 & vbind(v0, v1, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (vtcheck(v7, v8, v6) = 0) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vbind(v2, v0, v1) = v7) | ~ (vabs(v2, v4, v5) = v8) | ? [v9] : (vsubst(v2, v3, v8) = v9 & vtcheck(v1, v9, v6) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v2 | ~ (vreduce(v1) = v2) | ~ (vreduce(v0) = v3) | ~ (vgetSomeExp(v3) = v5) | ~ (vsomeExp(v6) = v7) | ~ (vapp(v5, v4) = v6) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v0 & vabs(v8, v9, v10) = v0) | ( ~ (v8 = v1) & vapp(v0, v4) = v8) | ( ~ (v8 = 0) & visSomeExp(v3) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v2 | ~ (vreduce(v1) = v2) | ~ (vgetSomeExp(v3) = v5) | ~ (vsomeExp(v6) = v7) | ~ (vapp(v5, v4) = v6) | ~ (vapp(v0, v4) = v1) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v0 & vabs(v8, v9, v10) = v0) | ( ~ (v8 = v3) & vreduce(v0) = v8) | ( ~ (v8 = 0) & visSomeExp(v3) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (varrow(v3, v4) = v6) | ~ (vtcheck(v0, v5, v6) = v7) | ~ (vabs(v1, v3, v2) = v5) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & vtcheck(v8, v2, v4) = v9 & vbind(v1, v3, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (varrow(v0, v4) = v5) | ~ (vtcheck(v1, v6, v4) = v7) | ~ (vtcheck(v1, v2, v5) = 0) | ~ (vapp(v2, v3) = v6) | ? [v8] : ( ~ (v8 = 0) & vtcheck(v1, v3, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (vsubst(v2, v3, veabs) = v6) | ~ (vtcheck(v5, veabs, v4) = 0) | ~ (vtcheck(v1, v6, v4) = v7) | ~ (vbind(v2, v0, v1) = v5) | ? [v8] : ( ~ (v8 = 0) & vtcheck(v1, v3, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (vreduce(v1) = v2) | ~ (visSomeExp(v6) = 0) | ~ (vapp(v7, v0) = v1) | ~ (vabs(v3, v4, v5) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = v2 & vgetSomeExp(v6) = v8 & vsomeExp(v9) = v2 & vapp(v7, v8) = v9) | ( ~ (v8 = v6) & vreduce(v0) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (vtcheck(v7, v4, v5) = 0) | ~ (vbind(v0, v2, v6) = v7) | ~ (vbind(v0, v1, v3) = v6) | ? [v8] : (vtcheck(v8, v4, v5) = 0 & vbind(v0, v2, v3) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | v2 = v1 | ~ (vlookup(v2, v5) = v6) | ~ (vlookup(v2, v3) = v4) | ~ (vbind(v1, v0, v5) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (vsubst(v2, v3, veabs) = v5) | ~ (vtcheck(v1, v5, v4) = v6) | ~ (vtcheck(v1, v3, v0) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & vtcheck(v7, veabs, v4) = v8 & vbind(v2, v0, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (vtcheck(v5, v3, v4) = v6) | ~ (vbind(v0, v1, v2) = v5) | ? [v7] : ((v7 = 0 & visFreeVar(v0, v3) = 0) | ( ~ (v7 = 0) & vtcheck(v2, v3, v4) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (vtcheck(v5, v3, v4) = v6) | ~ (vbind(v0, v1, v2) = v5) | ? [v7] : (( ~ (v7 = vnoType) & vlookup(v0, v2) = v7) | ( ~ (v7 = 0) & vtcheck(v2, v3, v4) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (vtcheck(v1, v5, v4) = v6) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vapp(v2, v3) = v5) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & varrow(v0, v4) = v7 & vtcheck(v1, v2, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v2 | ~ (vbind(v3, v4, v5) = v6) | ~ (vbind(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v2 | ~ (vabs(v3, v4, v5) = v6) | ~ (vabs(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v1 | ~ (vbind(v3, v4, v5) = v6) | ~ (vbind(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v1 | ~ (vabs(v3, v4, v5) = v6) | ~ (vabs(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v0 | ~ (vbind(v3, v4, v5) = v6) | ~ (vbind(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v0 | ~ (vabs(v3, v4, v5) = v6) | ~ (vabs(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = vnoExp | ~ (vreduce(v3) = v4) | ~ (visSomeExp(v2) = v5) | ~ (vapp(v1, v0) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v9 = v1 & vabs(v6, v7, v8) = v1) | ( ~ (v6 = v2) & vreduce(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (visFreeVar(v0, v3) = v5) | ~ (visFreeVar(v0, v2) = v4) | ~ (visFreeVar(v0, v1) = 0) | ? [v6] : ( ~ (v6 = v1) & vapp(v2, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = v1 | ~ (visFreeVar(v1, v4) = 0) | ~ (visFreeVar(v1, v2) = v5) | ~ (vabs(v3, v0, v4) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (visFreeVar(v1, v4) = v5) | ~ (visFreeVar(v1, v2) = 0) | ~ (vabs(v3, v0, v4) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (visFreeVar(v0, v3) = v4) | ~ (visFreeVar(v0, v2) = 0) | ~ (visFreeVar(v0, v1) = v5) | ? [v6] : ( ~ (v6 = v1) & vapp(v2, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (visFreeVar(v0, v3) = 0) | ~ (visFreeVar(v0, v2) = v4) | ~ (visFreeVar(v0, v1) = v5) | ? [v6] : ( ~ (v6 = v1) & vapp(v2, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (vsubst(v1, v0, v2) = v3) | ~ (vabs(v1, v4, v5) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (varrow(v0, v4) = v5) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vtcheck(v1, v2, v5) = 0) | ? [v6] : (vtcheck(v1, v6, v4) = 0 & vapp(v2, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vtcheck(v5, v3, v4) = 0) | ~ (vbind(v0, v1, v2) = v5) | ? [v6] : ((v6 = 0 & vtcheck(v2, v3, v4) = 0) | (v6 = 0 & visFreeVar(v0, v3) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vtcheck(v5, v2, v4) = 0) | ~ (vbind(v1, v3, v0) = v5) | ? [v6] : ? [v7] : (varrow(v3, v4) = v7 & vtcheck(v0, v6, v7) = 0 & vabs(v1, v3, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vtcheck(v5, veabs, v4) = 0) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vbind(v2, v0, v1) = v5) | ? [v6] : (vsubst(v2, v3, veabs) = v6 & vtcheck(v1, v6, v4) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (visFreeVar(v0, v3) = v4) | ~ (visFreeVar(v0, v1) = v5) | ~ (vapp(v2, v3) = v1) | ? [v6] : (( ~ (v5 = 0) | v4 = 0 | (v6 = 0 & visFreeVar(v0, v2) = 0)) & (v5 = 0 | ( ~ (v6 = 0) & ~ (v4 = 0) & visFreeVar(v0, v2) = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (visFreeVar(v0, v2) = v4) | ~ (visFreeVar(v0, v1) = v5) | ~ (vapp(v2, v3) = v1) | ? [v6] : (( ~ (v5 = 0) | v4 = 0 | (v6 = 0 & visFreeVar(v0, v3) = 0)) & (v5 = 0 | ( ~ (v6 = 0) & ~ (v4 = 0) & visFreeVar(v0, v3) = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vapp(v3, v4) = v5) | ~ (vabs(v0, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (vbind(v0, v1, v2) = v4) | ~ (vbind(v0, v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (vabs(v0, v1, v2) = v4) | ~ (vabs(v0, v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | v3 = v2 | ~ (vsubst(v1, v0, v2) = v3) | ~ (vvar(v4) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = vnoExp | ~ (vreduce(v3) = v4) | ~ (vabs(v0, v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (vtcheck(v0, v3, v2) = v4) | ~ (vvar(v1) = v3) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & vlookup(v1, v0) = v5 & vsomeType(v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (visValue(v3) = v4) | ~ (vabs(v0, v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (varrow(v2, v3) = v4) | ~ (varrow(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (vapp(v2, v3) = v4) | ~ (vapp(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (varrow(v2, v3) = v4) | ~ (varrow(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (vapp(v2, v3) = v4) | ~ (vapp(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (vsubst(v4, v3, v2) = v1) | ~ (vsubst(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (vtcheck(v4, v3, v2) = v1) | ~ (vtcheck(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (vbind(v4, v3, v2) = v1) | ~ (vbind(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (vabs(v4, v3, v2) = v1) | ~ (vabs(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vreduce(v1) = v2) | ~ (visSomeExp(v3) = 0) | ~ (vapp(v0, v4) = v1) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = v0 & vabs(v5, v6, v7) = v0) | (v7 = v2 & vgetSomeExp(v3) = v5 & vsomeExp(v6) = v2 & vapp(v5, v4) = v6) | ( ~ (v5 = v3) & vreduce(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vlookup(v1, v2) = v3) | ~ (vbind(v1, v4, v0) = v2) | vsomeType(v4) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (visFreeVar(v1, v3) = v4) | ~ (visFreeVar(v1, v2) = 0) | ~ (vabs(v1, v0, v3) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vabs(v1, v2, v3) = v4) | ~ (vvar(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (varrow(v0, v1) = v3) | ~ (varrow(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (vapp(v0, v1) = v3) | ~ (vapp(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (vsubst(v0, v1, v2) = v3) | ~ (vvar(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (varrow(v3, v2) = v1) | ~ (varrow(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vlookup(v3, v2) = v1) | ~ (vlookup(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (visFreeVar(v3, v2) = v1) | ~ (visFreeVar(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vapp(v3, v2) = v1) | ~ (vapp(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsubst(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = v3 & v15 = v8 & v11 = 0 & v10 = v2 & v5 = v1 & v4 = v0 & ~ (v7 = v0) & vsubst(v7, v16, v9) = v17 & vsubst(v0, v1, v18) = v3 & vgensym(v14) = v8 & visFreeVar(v7, v1) = 0 & vapp(v12, v13) = v14 & vapp(v1, v9) = v12 & vabs(v8, v6, v17) = v18 & vabs(v7, v6, v9) = v2 & vvar(v8) = v16 & vvar(v0) = v13) | (v12 = v3 & v9 = v2 & v7 = v1 & v6 = v0 & ~ (v10 = 0) & ~ (v4 = v0) & vsubst(v0, v1, v8) = v11 & visFreeVar(v4, v1) = v10 & vabs(v4, v5, v11) = v3 & vabs(v4, v5, v8) = v2) | (v11 = v3 & v8 = v2 & v6 = v1 & v5 = v0 & vsubst(v0, v1, v7) = v10 & vsubst(v0, v1, v4) = v9 & vapp(v9, v10) = v3 & vapp(v4, v7) = v2) | (v9 = v2 & v6 = v0 & v5 = v0 & v4 = v1 & v3 = v2 & vabs(v0, v7, v8) = v2) | (v7 = v2 & v6 = v1 & v5 = v0 & v4 = v0 & v3 = v1 & vvar(v0) = v2) | (v7 = v2 & v5 = v0 & v4 = v1 & v3 = v2 & ~ (v6 = v0) & vvar(v6) = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vapp(v1, v2) = v3) | ~ (vvar(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vgetSomeExp(v0) = v1) | ~ (vsomeExp(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vsomeExp(v0) = v2) | ~ (vsomeExp(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vgetSomeType(v0) = v1) | ~ (vsomeType(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vsomeType(v0) = v2) | ~ (vsomeType(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vvar(v0) = v2) | ~ (vvar(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (visFreeVar(v0, v1) = 0) | ~ (vvar(v2) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = vnoExp | ~ (vreduce(v1) = v2) | ~ (vvar(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = vnoType | ~ (vlookup(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 & ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (visSomeExp(v1) = v2) | ~ (vsomeExp(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (visSomeType(v1) = v2) | ~ (vsomeType(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (visFreeVar(v0, v1) = v2) | ~ (vvar(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vreduce(v2) = v1) | ~ (vreduce(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vgetSomeExp(v2) = v1) | ~ (vgetSomeExp(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (visSomeExp(v2) = v1) | ~ (visSomeExp(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsomeExp(v2) = v1) | ~ (vsomeExp(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsomeExp(v1) = v2) | ~ (vsomeExp(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vgensym(v2) = v1) | ~ (vgensym(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vgetSomeType(v2) = v1) | ~ (vgetSomeType(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (visSomeType(v2) = v1) | ~ (visSomeType(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsomeType(v2) = v1) | ~ (vsomeType(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsomeType(v1) = v2) | ~ (vsomeType(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (visValue(v2) = v1) | ~ (visValue(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vvar(v2) = v1) | ~ (vvar(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vvar(v1) = v2) | ~ (vvar(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = vempty | ~ (vlookup(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 & ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vtcheck(v2, v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v8 = v1 & v7 = v0 & varrow(v5, v6) = v1 & vtcheck(v9, v4, v6) = 0 & vbind(v3, v5, v2) = v9 & vabs(v3, v5, v4) = v0) | (v9 = 0 & v8 = 0 & v6 = v0 & varrow(v5, v1) = v7 & vtcheck(v2, v4, v5) = 0 & vtcheck(v2, v3, v7) = 0 & vapp(v3, v4) = v0) | (v6 = v3 & v5 = v0 & vlookup(v4, v2) = v3 & vsomeType(v1) = v3 & vvar(v4) = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vlookup(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (v3 = v0 | (v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 & ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1))) & ! [v0] : ! [v1] : ! [v2] : ~ (vbind(v0, v1, v2) = vempty) & ! [v0] : ! [v1] : ! [v2] : ( ~ (visValue(v2) = 0) | ~ (vapp(v0, v1) = v2)) & ! [v0] : ! [v1] : (v1 = vnoType | ~ (vlookup(v0, vempty) = v1)) & ! [v0] : ! [v1] : ( ~ (vreduce(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = v1 & v11 = 0 & v9 = v3 & v8 = v0 & ~ (v10 = 0) & vreduce(v5) = v3 & visSomeExp(v3) = v10 & vsomeExp(v12) = v1 & vsubst(v4, v5, v6) = v12 & visValue(v5) = 0 & vapp(v7, v5) = v0 & vabs(v4, v2, v6) = v7) | (v13 = v1 & v10 = 0 & v9 = v6 & v8 = v0 & vreduce(v2) = v6 & vgetSomeExp(v6) = v11 & visSomeExp(v6) = 0 & vsomeExp(v12) = v1 & vapp(v7, v11) = v12 & vapp(v7, v2) = v0 & vabs(v3, v4, v5) = v7) | (v10 = v1 & v7 = 0 & v6 = v3 & v5 = v0 & vreduce(v2) = v3 & vgetSomeExp(v3) = v8 & visSomeExp(v3) = 0 & vsomeExp(v9) = v1 & vapp(v8, v4) = v9 & vapp(v2, v4) = v0 & ! [v14] : ! [v15] : ! [v16] : ~ (vabs(v14, v15, v16) = v2)) | (v9 = v5 & v8 = v0 & v1 = vnoExp & ~ (v11 = 0) & ~ (v10 = 0) & vreduce(v6) = v5 & visSomeExp(v5) = v10 & visValue(v6) = v11 & vapp(v7, v6) = v0 & vabs(v2, v3, v4) = v7) | (v6 = v4 & v5 = v0 & v1 = vnoExp & ~ (v7 = 0) & vreduce(v3) = v4 & visSomeExp(v4) = v7 & vapp(v3, v2) = v0 & ! [v14] : ! [v15] : ! [v16] : ~ (vabs(v14, v15, v16) = v3)) | (v5 = v0 & v1 = vnoExp & vabs(v2, v3, v4) = v0) | (v3 = v0 & v1 = vnoExp & vvar(v2) = v0))) & ! [v0] : ! [v1] : ( ~ (visFreeVar(v0, v1) = 0) | ? [v2] : ( ~ (v2 = v0) & vgensym(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (visValue(v1) = 0) | ~ (vvar(v0) = v1)) & ! [v0] : ~ (vsomeExp(v0) = vnoExp) & ! [v0] : ~ (vsomeType(v0) = vnoType) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : vsubst(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : vtcheck(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : vbind(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : vabs(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : varrow(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : vlookup(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : visFreeVar(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : vapp(v1, v0) = v2 & ? [v0] : ? [v1] : vreduce(v0) = v1 & ? [v0] : ? [v1] : vgetSomeExp(v0) = v1 & ? [v0] : ? [v1] : visSomeExp(v0) = v1 & ? [v0] : ? [v1] : vsomeExp(v0) = v1 & ? [v0] : ? [v1] : vgensym(v0) = v1 & ? [v0] : ? [v1] : vgetSomeType(v0) = v1 & ? [v0] : ? [v1] : visSomeType(v0) = v1 & ? [v0] : ? [v1] : vsomeType(v0) = v1 & ? [v0] : ? [v1] : visValue(v0) = v1 & ? [v0] : ? [v1] : vvar(v0) = v1
% 36.84/10.06 |
% 36.84/10.06 | Applying alpha-rule on (1) yields:
% 36.84/10.06 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vgetSomeType(v2) = v1) | ~ (vgetSomeType(v2) = v0))
% 36.84/10.06 | (3) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vsomeExp(v0) = v2) | ~ (vsomeExp(v0) = v1))
% 36.84/10.06 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (vsubst(v2, v3, veabs) = v6) | ~ (vtcheck(v5, veabs, v4) = 0) | ~ (vtcheck(v1, v6, v4) = v7) | ~ (vbind(v2, v0, v1) = v5) | ? [v8] : ( ~ (v8 = 0) & vtcheck(v1, v3, v0) = v8))
% 36.84/10.06 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (vtcheck(v7, v4, v5) = 0) | ~ (vbind(v0, v2, v6) = v7) | ~ (vbind(v0, v1, v3) = v6) | ? [v8] : (vtcheck(v8, v4, v5) = 0 & vbind(v0, v2, v3) = v8))
% 36.84/10.06 | (6) ? [v0] : ? [v1] : vgetSomeExp(v0) = v1
% 36.84/10.06 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v1 | ~ (vabs(v3, v4, v5) = v6) | ~ (vabs(v0, v1, v2) = v6))
% 36.84/10.06 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (visValue(v3) = v4) | ~ (vabs(v0, v1, v2) = v3))
% 36.84/10.06 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v2 = v0 | ~ (vtcheck(v8, v5, v6) = 0) | ~ (vbind(v2, v3, v7) = v8) | ~ (vbind(v0, v1, v4) = v7) | ? [v9] : ? [v10] : (vtcheck(v10, v5, v6) = 0 & vbind(v2, v3, v4) = v9 & vbind(v0, v1, v9) = v10))
% 36.84/10.06 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (varrow(v0, v1) = v3) | ~ (varrow(v0, v1) = v2))
% 36.84/10.06 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = vempty | ~ (vlookup(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 & ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1)))
% 36.84/10.06 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | v6 = vnoExp | ~ (vreduce(v5) = v6) | ~ (visSomeExp(v3) = v8) | ~ (vapp(v7, v4) = v5) | ~ (vabs(v0, v1, v2) = v7) | ? [v9] : ((v9 = 0 & visValue(v4) = 0) | ( ~ (v9 = v3) & vreduce(v4) = v9)))
% 36.84/10.06 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (visFreeVar(v1, v3) = v4) | ~ (visFreeVar(v1, v2) = 0) | ~ (vabs(v1, v0, v3) = v2))
% 36.84/10.06 | (14) ? [v0] : ? [v1] : ? [v2] : varrow(v1, v0) = v2
% 36.84/10.06 | (15) ~ (visSomeType(vnoType) = 0)
% 36.84/10.06 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v2 | ~ (vreduce(v1) = v2) | ~ (vgetSomeExp(v6) = v8) | ~ (vsomeExp(v9) = v10) | ~ (vapp(v7, v8) = v9) | ~ (vapp(v7, v0) = v1) | ~ (vabs(v3, v4, v5) = v7) | ? [v11] : (( ~ (v11 = v6) & vreduce(v0) = v11) | ( ~ (v11 = 0) & visSomeExp(v6) = v11)))
% 36.84/10.06 | (17) vtcheck(all_0_3_3, all_0_2_2, all_0_5_5) = 0
% 36.84/10.06 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vvar(v2) = v1) | ~ (vvar(v2) = v0))
% 36.84/10.06 | (19) ? [v0] : ? [v1] : visSomeType(v0) = v1
% 36.84/10.06 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (visFreeVar(v0, v3) = v5) | ~ (visFreeVar(v0, v2) = v4) | ~ (visFreeVar(v0, v1) = 0) | ? [v6] : ( ~ (v6 = v1) & vapp(v2, v3) = v6))
% 36.84/10.06 | (21) ? [v0] : ? [v1] : vreduce(v0) = v1
% 36.84/10.06 | (22) ! [v0] : ~ (vsomeType(v0) = vnoType)
% 36.84/10.06 | (23) vtcheck(all_0_10_10, all_0_1_1, all_0_5_5) = all_0_0_0
% 36.84/10.06 | (24) visFreeVar(all_0_7_7, all_0_8_8) = all_0_4_4
% 36.84/10.06 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v3 | ~ (vsubst(v0, v1, v5) = v7) | ~ (vsubst(v0, v1, v4) = v6) | ~ (vsubst(v0, v1, v2) = v3) | ~ (vapp(v6, v7) = v8) | ? [v9] : ( ~ (v9 = v2) & vapp(v4, v5) = v9))
% 36.84/10.07 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v2 | ~ (vreduce(v1) = v2) | ~ (vgetSomeExp(v3) = v5) | ~ (vsomeExp(v6) = v7) | ~ (vapp(v5, v4) = v6) | ~ (vapp(v0, v4) = v1) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v0 & vabs(v8, v9, v10) = v0) | ( ~ (v8 = v3) & vreduce(v0) = v8) | ( ~ (v8 = 0) & visSomeExp(v3) = v8)))
% 36.84/10.07 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (vsubst(v2, v3, v7) = v8) | ~ (vtcheck(v1, v8, v6) = v9) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vabs(v2, v4, v5) = v7) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & vtcheck(v10, v7, v6) = v11 & vbind(v2, v0, v1) = v10))
% 36.84/10.07 | (28) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (visSomeExp(v1) = v2) | ~ (vsomeExp(v0) = v1))
% 36.84/10.07 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vgetSomeExp(v2) = v1) | ~ (vgetSomeExp(v2) = v0))
% 36.84/10.07 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (varrow(v3, v2) = v1) | ~ (varrow(v3, v2) = v0))
% 36.84/10.07 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsomeType(v1) = v2) | ~ (vsomeType(v0) = v2))
% 36.84/10.07 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (vreduce(v2) = v3) | ~ (visSomeExp(v1) = v8) | ~ (vapp(v7, v5) = v2) | ~ (vabs(v4, v0, v6) = v7) | ? [v9] : ? [v10] : ((v10 = v3 & vsomeExp(v9) = v3 & vsubst(v4, v5, v6) = v9) | ( ~ (v9 = v1) & vreduce(v5) = v9) | ( ~ (v9 = 0) & visValue(v5) = v9)))
% 36.84/10.07 | (33) ? [v0] : ? [v1] : ? [v2] : ? [v3] : vbind(v2, v1, v0) = v3
% 36.84/10.07 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | v2 = v0 | ~ (vtcheck(v8, v5, v6) = v9) | ~ (vbind(v2, v3, v4) = v7) | ~ (vbind(v0, v1, v7) = v8) | ? [v10] : ? [v11] : ? [v12] : ( ~ (v12 = 0) & vtcheck(v11, v5, v6) = v12 & vbind(v2, v3, v10) = v11 & vbind(v0, v1, v4) = v10))
% 36.84/10.07 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (vapp(v2, v3) = v4) | ~ (vapp(v0, v1) = v4))
% 36.84/10.07 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (vtcheck(v1, v5, v4) = v6) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vapp(v2, v3) = v5) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & varrow(v0, v4) = v7 & vtcheck(v1, v2, v7) = v8))
% 36.84/10.07 | (37) ? [v0] : ? [v1] : ? [v2] : ? [v3] : vsubst(v2, v1, v0) = v3
% 36.84/10.07 | (38) ~ (all_0_4_4 = 0)
% 36.84/10.07 | (39) ! [v0] : ! [v1] : ( ~ (visValue(v1) = 0) | ~ (vvar(v0) = v1))
% 36.84/10.07 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = vnoExp | ~ (vreduce(v3) = v4) | ~ (visSomeExp(v2) = v5) | ~ (vapp(v1, v0) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v9 = v1 & vabs(v6, v7, v8) = v1) | ( ~ (v6 = v2) & vreduce(v1) = v6)))
% 36.84/10.07 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (vapp(v0, v1) = v3) | ~ (vapp(v0, v1) = v2))
% 36.84/10.07 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vlookup(v1, v2) = v3) | ~ (vbind(v1, v4, v0) = v2) | vsomeType(v4) = v3)
% 36.84/10.07 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (visFreeVar(v1, v4) = v5) | ~ (visFreeVar(v1, v2) = 0) | ~ (vabs(v3, v0, v4) = v2))
% 36.84/10.07 | (44) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (visFreeVar(v0, v1) = v2) | ~ (vvar(v0) = v1))
% 36.84/10.07 | (45) ? [v0] : ? [v1] : ? [v2] : vapp(v1, v0) = v2
% 36.84/10.07 | (46) ? [v0] : ? [v1] : vgetSomeType(v0) = v1
% 36.84/10.07 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (varrow(v3, v4) = v6) | ~ (vtcheck(v0, v5, v6) = v7) | ~ (vabs(v1, v3, v2) = v5) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & vtcheck(v8, v2, v4) = v9 & vbind(v1, v3, v0) = v8))
% 36.84/10.07 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = v1 | ~ (visFreeVar(v1, v4) = 0) | ~ (visFreeVar(v1, v2) = v5) | ~ (vabs(v3, v0, v4) = v2))
% 36.84/10.07 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (visFreeVar(v0, v3) = 0) | ~ (visFreeVar(v0, v2) = v4) | ~ (visFreeVar(v0, v1) = v5) | ? [v6] : ( ~ (v6 = v1) & vapp(v2, v3) = v6))
% 36.84/10.07 | (50) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (visFreeVar(v0, v1) = 0) | ~ (vvar(v2) = v1))
% 36.84/10.07 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (varrow(v2, v3) = v4) | ~ (varrow(v0, v1) = v4))
% 36.84/10.07 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vapp(v3, v4) = v5) | ~ (vabs(v0, v1, v2) = v5))
% 36.84/10.07 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (vlookup(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (v3 = v0 | (v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 & ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1)))
% 36.84/10.07 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vreduce(v1) = v2) | ~ (visSomeExp(v3) = 0) | ~ (vapp(v0, v4) = v1) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = v0 & vabs(v5, v6, v7) = v0) | (v7 = v2 & vgetSomeExp(v3) = v5 & vsomeExp(v6) = v2 & vapp(v5, v4) = v6) | ( ~ (v5 = v3) & vreduce(v0) = v5)))
% 36.84/10.07 | (55) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vgetSomeType(v0) = v1) | ~ (vsomeType(v2) = v0))
% 36.84/10.07 | (56) ? [v0] : ? [v1] : ? [v2] : ? [v3] : vtcheck(v2, v1, v0) = v3
% 36.84/10.07 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (vabs(v0, v1, v2) = v4) | ~ (vabs(v0, v1, v2) = v3))
% 36.84/10.07 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vtcheck(v5, veabs, v4) = 0) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vbind(v2, v0, v1) = v5) | ? [v6] : (vsubst(v2, v3, veabs) = v6 & vtcheck(v1, v6, v4) = 0))
% 36.84/10.07 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (vbind(v4, v3, v2) = v1) | ~ (vbind(v4, v3, v2) = v0))
% 36.84/10.07 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (vtcheck(v7, v8, v6) = 0) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vbind(v2, v0, v1) = v7) | ~ (vabs(v2, v4, v5) = v8) | ? [v9] : (vsubst(v2, v3, v8) = v9 & vtcheck(v1, v9, v6) = 0))
% 36.84/10.07 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (vbind(v0, v1, v2) = v4) | ~ (vbind(v0, v1, v2) = v3))
% 36.84/10.08 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (vsubst(v2, v3, v8) = v9) | ~ (vtcheck(v7, v8, v6) = 0) | ~ (vtcheck(v1, v9, v6) = v10) | ~ (vbind(v2, v0, v1) = v7) | ~ (vabs(v2, v4, v5) = v8) | ? [v11] : ( ~ (v11 = 0) & vtcheck(v1, v3, v0) = v11))
% 36.84/10.08 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (vreduce(v1) = v2) | ~ (visSomeExp(v6) = 0) | ~ (vapp(v7, v0) = v1) | ~ (vabs(v3, v4, v5) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = v2 & vgetSomeExp(v6) = v8 & vsomeExp(v9) = v2 & vapp(v7, v8) = v9) | ( ~ (v8 = v6) & vreduce(v0) = v8)))
% 36.84/10.08 | (64) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vreduce(v2) = v1) | ~ (vreduce(v2) = v0))
% 36.84/10.08 | (65) ! [v0] : ! [v1] : ! [v2] : ~ (vbind(v0, v1, v2) = vempty)
% 36.84/10.08 | (66) ? [v0] : ? [v1] : ? [v2] : visFreeVar(v1, v0) = v2
% 36.84/10.08 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsomeExp(v2) = v1) | ~ (vsomeExp(v2) = v0))
% 36.84/10.08 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (visFreeVar(v0, v2) = v4) | ~ (visFreeVar(v0, v1) = v5) | ~ (vapp(v2, v3) = v1) | ? [v6] : (( ~ (v5 = 0) | v4 = 0 | (v6 = 0 & visFreeVar(v0, v3) = 0)) & (v5 = 0 | ( ~ (v6 = 0) & ~ (v4 = 0) & visFreeVar(v0, v3) = v6))))
% 36.84/10.08 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vapp(v3, v2) = v1) | ~ (vapp(v3, v2) = v0))
% 36.84/10.08 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (vsubst(v1, v0, v2) = v3) | ~ (vabs(v1, v4, v5) = v2))
% 36.84/10.08 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (vsubst(v4, v3, v2) = v1) | ~ (vsubst(v4, v3, v2) = v0))
% 36.84/10.08 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v3 | v4 = v0 | ~ (vsubst(v0, v1, v6) = v7) | ~ (vsubst(v0, v1, v2) = v3) | ~ (vabs(v4, v5, v7) = v8) | ? [v9] : ((v9 = 0 & visFreeVar(v4, v1) = 0) | ( ~ (v9 = v2) & vabs(v4, v5, v6) = v9)))
% 36.84/10.08 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (varrow(v0, v4) = v5) | ~ (vtcheck(v1, v3, v0) = 0) | ~ (vtcheck(v1, v2, v5) = 0) | ? [v6] : (vtcheck(v1, v6, v4) = 0 & vapp(v2, v3) = v6))
% 36.84/10.08 | (74) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vsomeType(v0) = v2) | ~ (vsomeType(v0) = v1))
% 36.84/10.08 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (vapp(v2, v3) = v4) | ~ (vapp(v0, v1) = v4))
% 36.84/10.08 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (vsubst(v0, v1, v2) = v3) | ~ (vvar(v0) = v2))
% 36.84/10.08 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (varrow(v0, v4) = v5) | ~ (vtcheck(v1, v6, v4) = v7) | ~ (vtcheck(v1, v2, v5) = 0) | ~ (vapp(v2, v3) = v6) | ? [v8] : ( ~ (v8 = 0) & vtcheck(v1, v3, v0) = v8))
% 36.84/10.08 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (vtcheck(v0, v3, v2) = v4) | ~ (vvar(v1) = v3) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & vlookup(v1, v0) = v5 & vsomeType(v2) = v6))
% 36.84/10.08 | (79) ? [v0] : ? [v1] : vvar(v0) = v1
% 36.84/10.08 | (80) vsubst(all_0_9_9, all_0_8_8, all_0_2_2) = all_0_1_1
% 36.84/10.08 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (visFreeVar(v0, v3) = v4) | ~ (visFreeVar(v0, v1) = v5) | ~ (vapp(v2, v3) = v1) | ? [v6] : (( ~ (v5 = 0) | v4 = 0 | (v6 = 0 & visFreeVar(v0, v2) = 0)) & (v5 = 0 | ( ~ (v6 = 0) & ~ (v4 = 0) & visFreeVar(v0, v2) = v6))))
% 36.84/10.08 | (82) ! [v0] : ~ (vsomeExp(v0) = vnoExp)
% 36.84/10.08 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | v2 = v1 | ~ (vlookup(v2, v5) = v6) | ~ (vlookup(v2, v3) = v4) | ~ (vbind(v1, v0, v5) = v3))
% 36.84/10.08 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (visValue(v2) = v1) | ~ (visValue(v2) = v0))
% 36.84/10.08 | (85) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vvar(v0) = v2) | ~ (vvar(v0) = v1))
% 36.84/10.08 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = vnoExp | ~ (vreduce(v3) = v4) | ~ (vabs(v0, v1, v2) = v3))
% 36.84/10.08 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (visFreeVar(v3, v2) = v1) | ~ (visFreeVar(v3, v2) = v0))
% 36.84/10.08 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (vtcheck(v4, v3, v2) = v1) | ~ (vtcheck(v4, v3, v2) = v0))
% 36.84/10.08 | (89) ~ (all_0_0_0 = 0)
% 36.84/10.08 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v2 | ~ (vabs(v3, v4, v5) = v6) | ~ (vabs(v0, v1, v2) = v6))
% 36.84/10.08 | (91) ? [v0] : ? [v1] : visSomeExp(v0) = v1
% 36.84/10.08 | (92) ? [v0] : ? [v1] : visValue(v0) = v1
% 37.25/10.08 | (93) ? [v0] : ? [v1] : vgensym(v0) = v1
% 37.25/10.08 | (94) ! [v0] : ! [v1] : (v1 = vnoType | ~ (vlookup(v0, vempty) = v1))
% 37.25/10.08 | (95) ~ (all_0_7_7 = all_0_9_9)
% 37.25/10.08 | (96) ! [v0] : ! [v1] : ( ~ (vreduce(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = v1 & v11 = 0 & v9 = v3 & v8 = v0 & ~ (v10 = 0) & vreduce(v5) = v3 & visSomeExp(v3) = v10 & vsomeExp(v12) = v1 & vsubst(v4, v5, v6) = v12 & visValue(v5) = 0 & vapp(v7, v5) = v0 & vabs(v4, v2, v6) = v7) | (v13 = v1 & v10 = 0 & v9 = v6 & v8 = v0 & vreduce(v2) = v6 & vgetSomeExp(v6) = v11 & visSomeExp(v6) = 0 & vsomeExp(v12) = v1 & vapp(v7, v11) = v12 & vapp(v7, v2) = v0 & vabs(v3, v4, v5) = v7) | (v10 = v1 & v7 = 0 & v6 = v3 & v5 = v0 & vreduce(v2) = v3 & vgetSomeExp(v3) = v8 & visSomeExp(v3) = 0 & vsomeExp(v9) = v1 & vapp(v8, v4) = v9 & vapp(v2, v4) = v0 & ! [v14] : ! [v15] : ! [v16] : ~ (vabs(v14, v15, v16) = v2)) | (v9 = v5 & v8 = v0 & v1 = vnoExp & ~ (v11 = 0) & ~ (v10 = 0) & vreduce(v6) = v5 & visSomeExp(v5) = v10 & visValue(v6) = v11 & vapp(v7, v6) = v0 & vabs(v2, v3, v4) = v7) | (v6 = v4 & v5 = v0 & v1 = vnoExp & ~ (v7 = 0) & vreduce(v3) = v4 & visSomeExp(v4) = v7 & vapp(v3, v2) = v0 & ! [v14] : ! [v15] : ! [v16] : ~ (vabs(v14, v15, v16) = v3)) | (v5 = v0 & v1 = vnoExp & vabs(v2, v3, v4) = v0) | (v3 = v0 & v1 = vnoExp & vvar(v2) = v0)))
% 37.25/10.08 | (97) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (visSomeType(v1) = v2) | ~ (vsomeType(v0) = v1))
% 37.25/10.08 | (98) ? [v0] : ? [v1] : vsomeExp(v0) = v1
% 37.25/10.08 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vvar(v1) = v2) | ~ (vvar(v0) = v2))
% 37.25/10.08 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (vtcheck(v5, v3, v4) = v6) | ~ (vbind(v0, v1, v2) = v5) | ? [v7] : ((v7 = 0 & visFreeVar(v0, v3) = 0) | ( ~ (v7 = 0) & vtcheck(v2, v3, v4) = v7)))
% 37.25/10.08 | (101) ? [v0] : ? [v1] : ? [v2] : vlookup(v1, v0) = v2
% 37.25/10.08 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (vsubst(v2, v3, veabs) = v5) | ~ (vtcheck(v1, v5, v4) = v6) | ~ (vtcheck(v1, v3, v0) = 0) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & vtcheck(v7, veabs, v4) = v8 & vbind(v2, v0, v1) = v7))
% 37.25/10.08 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vlookup(v3, v2) = v1) | ~ (vlookup(v3, v2) = v0))
% 37.25/10.08 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v0 | ~ (vbind(v3, v4, v5) = v6) | ~ (vbind(v0, v1, v2) = v6))
% 37.25/10.09 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | v3 = v2 | ~ (vsubst(v1, v0, v2) = v3) | ~ (vvar(v4) = v2))
% 37.25/10.09 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v2 | ~ (vreduce(v1) = v2) | ~ (vreduce(v0) = v3) | ~ (vgetSomeExp(v3) = v5) | ~ (vsomeExp(v6) = v7) | ~ (vapp(v5, v4) = v6) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v0 & vabs(v8, v9, v10) = v0) | ( ~ (v8 = v1) & vapp(v0, v4) = v8) | ( ~ (v8 = 0) & visSomeExp(v3) = v8)))
% 37.25/10.09 | (107) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsomeType(v2) = v1) | ~ (vsomeType(v2) = v0))
% 37.25/10.09 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (vtcheck(v2, v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v8 = v1 & v7 = v0 & varrow(v5, v6) = v1 & vtcheck(v9, v4, v6) = 0 & vbind(v3, v5, v2) = v9 & vabs(v3, v5, v4) = v0) | (v9 = 0 & v8 = 0 & v6 = v0 & varrow(v5, v1) = v7 & vtcheck(v2, v4, v5) = 0 & vtcheck(v2, v3, v7) = 0 & vapp(v3, v4) = v0) | (v6 = v3 & v5 = v0 & vlookup(v4, v2) = v3 & vsomeType(v1) = v3 & vvar(v4) = v0)))
% 37.25/10.09 | (109) ! [v0] : ! [v1] : ! [v2] : (v2 = vnoExp | ~ (vreduce(v1) = v2) | ~ (vvar(v0) = v1))
% 37.25/10.09 | (110) ! [v0] : ! [v1] : ! [v2] : ( ~ (visValue(v2) = 0) | ~ (vapp(v0, v1) = v2))
% 37.25/10.09 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v0 | ~ (vabs(v3, v4, v5) = v6) | ~ (vabs(v0, v1, v2) = v6))
% 37.25/10.09 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v2 | ~ (vbind(v3, v4, v5) = v6) | ~ (vbind(v0, v1, v2) = v6))
% 37.25/10.09 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vtcheck(v5, v3, v4) = 0) | ~ (vbind(v0, v1, v2) = v5) | ? [v6] : ((v6 = 0 & vtcheck(v2, v3, v4) = 0) | (v6 = 0 & visFreeVar(v0, v3) = 0)))
% 37.25/10.09 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v3 | v5 = v0 | ~ (vsubst(v5, v8, v7) = v9) | ~ (vsubst(v0, v1, v10) = v11) | ~ (vsubst(v0, v1, v2) = v3) | ~ (vabs(v6, v4, v9) = v10) | ~ (vvar(v6) = v8) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (( ~ (v15 = v6) & vgensym(v14) = v15 & vapp(v12, v13) = v14 & vapp(v1, v7) = v12 & vvar(v0) = v13) | ( ~ (v12 = v2) & vabs(v5, v4, v7) = v12) | ( ~ (v12 = 0) & visFreeVar(v5, v1) = v12)))
% 37.25/10.09 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (vtcheck(v5, v3, v4) = v6) | ~ (vbind(v0, v1, v2) = v5) | ? [v7] : (( ~ (v7 = vnoType) & vlookup(v0, v2) = v7) | ( ~ (v7 = 0) & vtcheck(v2, v3, v4) = v7)))
% 37.25/10.09 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vtcheck(v5, v2, v4) = 0) | ~ (vbind(v1, v3, v0) = v5) | ? [v6] : ? [v7] : (varrow(v3, v4) = v7 & vtcheck(v0, v6, v7) = 0 & vabs(v1, v3, v2) = v6))
% 37.25/10.09 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsubst(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = v3 & v15 = v8 & v11 = 0 & v10 = v2 & v5 = v1 & v4 = v0 & ~ (v7 = v0) & vsubst(v7, v16, v9) = v17 & vsubst(v0, v1, v18) = v3 & vgensym(v14) = v8 & visFreeVar(v7, v1) = 0 & vapp(v12, v13) = v14 & vapp(v1, v9) = v12 & vabs(v8, v6, v17) = v18 & vabs(v7, v6, v9) = v2 & vvar(v8) = v16 & vvar(v0) = v13) | (v12 = v3 & v9 = v2 & v7 = v1 & v6 = v0 & ~ (v10 = 0) & ~ (v4 = v0) & vsubst(v0, v1, v8) = v11 & visFreeVar(v4, v1) = v10 & vabs(v4, v5, v11) = v3 & vabs(v4, v5, v8) = v2) | (v11 = v3 & v8 = v2 & v6 = v1 & v5 = v0 & vsubst(v0, v1, v7) = v10 & vsubst(v0, v1, v4) = v9 & vapp(v9, v10) = v3 & vapp(v4, v7) = v2) | (v9 = v2 & v6 = v0 & v5 = v0 & v4 = v1 & v3 = v2 & vabs(v0, v7, v8) = v2) | (v7 = v2 & v6 = v1 & v5 = v0 & v4 = v0 & v3 = v1 & vvar(v0) = v2) | (v7 = v2 & v5 = v0 & v4 = v1 & v3 = v2 & ~ (v6 = v0) & vvar(v6) = v2)))
% 37.25/10.09 | (118) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (visSomeExp(v2) = v1) | ~ (visSomeExp(v2) = v0))
% 37.25/10.09 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vgensym(v2) = v1) | ~ (vgensym(v2) = v0))
% 37.25/10.09 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vabs(v1, v2, v3) = v4) | ~ (vvar(v0) = v4))
% 37.25/10.09 | (121) vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = 0
% 37.25/10.09 | (122) ? [v0] : ? [v1] : vsomeType(v0) = v1
% 37.25/10.09 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsomeExp(v1) = v2) | ~ (vsomeExp(v0) = v2))
% 37.25/10.09 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (vabs(v4, v3, v2) = v1) | ~ (vabs(v4, v3, v2) = v0))
% 37.25/10.09 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (visSomeType(v2) = v1) | ~ (visSomeType(v2) = v0))
% 37.25/10.09 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (varrow(v2, v3) = v4) | ~ (varrow(v0, v1) = v4))
% 37.25/10.09 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vapp(v1, v2) = v3) | ~ (vvar(v0) = v3))
% 37.25/10.09 | (128) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (vgetSomeExp(v0) = v1) | ~ (vsomeExp(v2) = v0))
% 37.25/10.09 | (129) ! [v0] : ! [v1] : ! [v2] : (v2 = vnoType | ~ (vlookup(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 & ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1)))
% 37.25/10.09 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v2 | ~ (vreduce(v1) = v2) | ~ (vreduce(v0) = v6) | ~ (vgetSomeExp(v6) = v8) | ~ (vsomeExp(v9) = v10) | ~ (vapp(v7, v8) = v9) | ~ (vabs(v3, v4, v5) = v7) | ? [v11] : (( ~ (v11 = v1) & vapp(v7, v0) = v11) | ( ~ (v11 = 0) & visSomeExp(v6) = v11)))
% 37.25/10.09 | (131) ~ (visSomeExp(vnoExp) = 0)
% 37.25/10.09 | (132) ? [v0] : ? [v1] : ? [v2] : ? [v3] : vabs(v2, v1, v0) = v3
% 37.25/10.09 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v1 | ~ (vbind(v3, v4, v5) = v6) | ~ (vbind(v0, v1, v2) = v6))
% 37.25/10.09 | (134) vbind(all_0_9_9, all_0_11_11, all_0_10_10) = all_0_3_3
% 37.25/10.09 | (135) vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2
% 37.25/10.09 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (visFreeVar(v0, v3) = v4) | ~ (visFreeVar(v0, v2) = 0) | ~ (visFreeVar(v0, v1) = v5) | ? [v6] : ( ~ (v6 = v1) & vapp(v2, v3) = v6))
% 37.25/10.09 | (137) ! [v0] : ! [v1] : ( ~ (visFreeVar(v0, v1) = 0) | ? [v2] : ( ~ (v2 = v0) & vgensym(v1) = v2))
% 37.25/10.09 |
% 37.25/10.09 | Instantiating formula (117) with all_0_1_1, all_0_2_2, all_0_8_8, all_0_9_9 and discharging atoms vsubst(all_0_9_9, all_0_8_8, all_0_2_2) = all_0_1_1, yields:
% 37.25/10.09 | (138) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v15 = all_0_1_1 & v11 = v4 & v7 = 0 & v6 = all_0_2_2 & v1 = all_0_8_8 & v0 = all_0_9_9 & ~ (v3 = all_0_9_9) & vsubst(v3, v12, v5) = v13 & vsubst(all_0_9_9, all_0_8_8, v14) = all_0_1_1 & vgensym(v10) = v4 & visFreeVar(v3, all_0_8_8) = 0 & vapp(v8, v9) = v10 & vapp(all_0_8_8, v5) = v8 & vabs(v4, v2, v13) = v14 & vabs(v3, v2, v5) = all_0_2_2 & vvar(v4) = v12 & vvar(all_0_9_9) = v9) | (v8 = all_0_1_1 & v5 = all_0_2_2 & v3 = all_0_8_8 & v2 = all_0_9_9 & ~ (v6 = 0) & ~ (v0 = all_0_9_9) & vsubst(all_0_9_9, all_0_8_8, v4) = v7 & visFreeVar(v0, all_0_8_8) = v6 & vabs(v0, v1, v7) = all_0_1_1 & vabs(v0, v1, v4) = all_0_2_2) | (v7 = all_0_1_1 & v4 = all_0_2_2 & v2 = all_0_8_8 & v1 = all_0_9_9 & vsubst(all_0_9_9, all_0_8_8, v3) = v6 & vsubst(all_0_9_9, all_0_8_8, v0) = v5 & vapp(v5, v6) = all_0_1_1 & vapp(v0, v3) = all_0_2_2) | (v5 = all_0_2_2 & v2 = all_0_9_9 & v1 = all_0_9_9 & v0 = all_0_8_8 & all_0_1_1 = all_0_2_2 & vabs(all_0_9_9, v3, v4) = all_0_2_2) | (v3 = all_0_2_2 & v2 = all_0_8_8 & v1 = all_0_9_9 & v0 = all_0_9_9 & all_0_1_1 = all_0_8_8 & vvar(all_0_9_9) = all_0_2_2) | (v3 = all_0_2_2 & v1 = all_0_9_9 & v0 = all_0_8_8 & all_0_1_1 = all_0_2_2 & ~ (v2 = all_0_9_9) & vvar(v2) = all_0_2_2))
% 37.25/10.09 |
% 37.25/10.09 | Instantiating formula (108) with all_0_3_3, all_0_5_5, all_0_2_2 and discharging atoms vtcheck(all_0_3_3, all_0_2_2, all_0_5_5) = 0, yields:
% 37.25/10.10 | (139) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v5 = all_0_5_5 & v4 = all_0_2_2 & varrow(v2, v3) = all_0_5_5 & vtcheck(v6, v1, v3) = 0 & vbind(v0, v2, all_0_3_3) = v6 & vabs(v0, v2, v1) = all_0_2_2) | (v6 = 0 & v5 = 0 & v3 = all_0_2_2 & varrow(v2, all_0_5_5) = v4 & vtcheck(all_0_3_3, v1, v2) = 0 & vtcheck(all_0_3_3, v0, v4) = 0 & vapp(v0, v1) = all_0_2_2) | (v3 = v0 & v2 = all_0_2_2 & vlookup(v1, all_0_3_3) = v0 & vsomeType(all_0_5_5) = v0 & vvar(v1) = all_0_2_2))
% 37.25/10.10 |
% 37.25/10.10 | Instantiating (139) with all_48_0_71, all_48_1_72, all_48_2_73, all_48_3_74, all_48_4_75, all_48_5_76, all_48_6_77, all_48_7_78 yields:
% 37.25/10.10 | (140) (all_48_0_71 = 0 & all_48_2_73 = all_0_5_5 & all_48_3_74 = all_0_2_2 & varrow(all_48_5_76, all_48_4_75) = all_0_5_5 & vtcheck(all_48_1_72, all_48_6_77, all_48_4_75) = 0 & vbind(all_48_7_78, all_48_5_76, all_0_3_3) = all_48_1_72 & vabs(all_48_7_78, all_48_5_76, all_48_6_77) = all_0_2_2) | (all_48_1_72 = 0 & all_48_2_73 = 0 & all_48_4_75 = all_0_2_2 & varrow(all_48_5_76, all_0_5_5) = all_48_3_74 & vtcheck(all_0_3_3, all_48_6_77, all_48_5_76) = 0 & vtcheck(all_0_3_3, all_48_7_78, all_48_3_74) = 0 & vapp(all_48_7_78, all_48_6_77) = all_0_2_2) | (all_48_4_75 = all_48_7_78 & all_48_5_76 = all_0_2_2 & vlookup(all_48_6_77, all_0_3_3) = all_48_7_78 & vsomeType(all_0_5_5) = all_48_7_78 & vvar(all_48_6_77) = all_0_2_2)
% 37.25/10.10 |
% 37.25/10.10 | Instantiating (138) with all_49_0_79, all_49_1_80, all_49_2_81, all_49_3_82, all_49_4_83, all_49_5_84, all_49_6_85, all_49_7_86, all_49_8_87, all_49_9_88, all_49_10_89, all_49_11_90, all_49_12_91, all_49_13_92, all_49_14_93, all_49_15_94 yields:
% 37.25/10.10 | (141) (all_49_0_79 = all_0_1_1 & all_49_4_83 = all_49_11_90 & all_49_8_87 = 0 & all_49_9_88 = all_0_2_2 & all_49_14_93 = all_0_8_8 & all_49_15_94 = all_0_9_9 & ~ (all_49_12_91 = all_0_9_9) & vsubst(all_49_12_91, all_49_3_82, all_49_10_89) = all_49_2_81 & vsubst(all_0_9_9, all_0_8_8, all_49_1_80) = all_0_1_1 & vgensym(all_49_5_84) = all_49_11_90 & visFreeVar(all_49_12_91, all_0_8_8) = 0 & vapp(all_49_7_86, all_49_6_85) = all_49_5_84 & vapp(all_0_8_8, all_49_10_89) = all_49_7_86 & vabs(all_49_11_90, all_49_13_92, all_49_2_81) = all_49_1_80 & vabs(all_49_12_91, all_49_13_92, all_49_10_89) = all_0_2_2 & vvar(all_49_11_90) = all_49_3_82 & vvar(all_0_9_9) = all_49_6_85) | (all_49_7_86 = all_0_1_1 & all_49_10_89 = all_0_2_2 & all_49_12_91 = all_0_8_8 & all_49_13_92 = all_0_9_9 & ~ (all_49_9_88 = 0) & ~ (all_49_15_94 = all_0_9_9) & vsubst(all_0_9_9, all_0_8_8, all_49_11_90) = all_49_8_87 & visFreeVar(all_49_15_94, all_0_8_8) = all_49_9_88 & vabs(all_49_15_94, all_49_14_93, all_49_8_87) = all_0_1_1 & vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2) | (all_49_8_87 = all_0_1_1 & all_49_11_90 = all_0_2_2 & all_49_13_92 = all_0_8_8 & all_49_14_93 = all_0_9_9 & vsubst(all_0_9_9, all_0_8_8, all_49_12_91) = all_49_9_88 & vsubst(all_0_9_9, all_0_8_8, all_49_15_94) = all_49_10_89 & vapp(all_49_10_89, all_49_9_88) = all_0_1_1 & vapp(all_49_15_94, all_49_12_91) = all_0_2_2) | (all_49_10_89 = all_0_2_2 & all_49_13_92 = all_0_9_9 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_8_8 & all_0_1_1 = all_0_2_2 & vabs(all_0_9_9, all_49_12_91, all_49_11_90) = all_0_2_2) | (all_49_12_91 = all_0_2_2 & all_49_13_92 = all_0_8_8 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_9_9 & all_0_1_1 = all_0_8_8 & vvar(all_0_9_9) = all_0_2_2) | (all_49_12_91 = all_0_2_2 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_8_8 & all_0_1_1 = all_0_2_2 & ~ (all_49_13_92 = all_0_9_9) & vvar(all_49_13_92) = all_0_2_2)
% 37.25/10.10 |
% 37.25/10.10 +-Applying beta-rule and splitting (140), into two cases.
% 37.25/10.10 |-Branch one:
% 37.25/10.10 | (142) (all_48_0_71 = 0 & all_48_2_73 = all_0_5_5 & all_48_3_74 = all_0_2_2 & varrow(all_48_5_76, all_48_4_75) = all_0_5_5 & vtcheck(all_48_1_72, all_48_6_77, all_48_4_75) = 0 & vbind(all_48_7_78, all_48_5_76, all_0_3_3) = all_48_1_72 & vabs(all_48_7_78, all_48_5_76, all_48_6_77) = all_0_2_2) | (all_48_1_72 = 0 & all_48_2_73 = 0 & all_48_4_75 = all_0_2_2 & varrow(all_48_5_76, all_0_5_5) = all_48_3_74 & vtcheck(all_0_3_3, all_48_6_77, all_48_5_76) = 0 & vtcheck(all_0_3_3, all_48_7_78, all_48_3_74) = 0 & vapp(all_48_7_78, all_48_6_77) = all_0_2_2)
% 37.25/10.10 |
% 37.25/10.10 +-Applying beta-rule and splitting (142), into two cases.
% 37.25/10.10 |-Branch one:
% 37.25/10.10 | (143) all_48_0_71 = 0 & all_48_2_73 = all_0_5_5 & all_48_3_74 = all_0_2_2 & varrow(all_48_5_76, all_48_4_75) = all_0_5_5 & vtcheck(all_48_1_72, all_48_6_77, all_48_4_75) = 0 & vbind(all_48_7_78, all_48_5_76, all_0_3_3) = all_48_1_72 & vabs(all_48_7_78, all_48_5_76, all_48_6_77) = all_0_2_2
% 37.25/10.10 |
% 37.25/10.10 | Applying alpha-rule on (143) yields:
% 37.25/10.10 | (144) vbind(all_48_7_78, all_48_5_76, all_0_3_3) = all_48_1_72
% 37.25/10.10 | (145) varrow(all_48_5_76, all_48_4_75) = all_0_5_5
% 37.25/10.10 | (146) all_48_3_74 = all_0_2_2
% 37.25/10.10 | (147) vabs(all_48_7_78, all_48_5_76, all_48_6_77) = all_0_2_2
% 37.25/10.10 | (148) all_48_0_71 = 0
% 37.25/10.10 | (149) all_48_2_73 = all_0_5_5
% 37.25/10.10 | (150) vtcheck(all_48_1_72, all_48_6_77, all_48_4_75) = 0
% 37.25/10.10 |
% 37.25/10.10 | Instantiating formula (90) with all_0_2_2, all_48_6_77, all_48_5_76, all_48_7_78, veabs, all_0_6_6, all_0_7_7 and discharging atoms vabs(all_48_7_78, all_48_5_76, all_48_6_77) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.10 | (151) all_48_6_77 = veabs
% 37.25/10.10 |
% 37.25/10.10 | Instantiating formula (7) with all_0_2_2, all_48_6_77, all_48_5_76, all_48_7_78, veabs, all_0_6_6, all_0_7_7 and discharging atoms vabs(all_48_7_78, all_48_5_76, all_48_6_77) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.10 | (152) all_48_5_76 = all_0_6_6
% 37.25/10.10 |
% 37.25/10.10 | Instantiating formula (111) with all_0_2_2, all_48_6_77, all_48_5_76, all_48_7_78, veabs, all_0_6_6, all_0_7_7 and discharging atoms vabs(all_48_7_78, all_48_5_76, all_48_6_77) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.10 | (153) all_48_7_78 = all_0_7_7
% 37.25/10.10 |
% 37.25/10.10 | From (152) and (145) follows:
% 37.25/10.10 | (154) varrow(all_0_6_6, all_48_4_75) = all_0_5_5
% 37.25/10.10 |
% 37.25/10.10 | From (151) and (150) follows:
% 37.25/10.10 | (155) vtcheck(all_48_1_72, veabs, all_48_4_75) = 0
% 37.25/10.10 |
% 37.25/10.10 | From (153)(152) and (144) follows:
% 37.25/10.10 | (156) vbind(all_0_7_7, all_0_6_6, all_0_3_3) = all_48_1_72
% 37.25/10.10 |
% 37.25/10.10 | From (153)(152)(151) and (147) follows:
% 37.25/10.10 | (135) vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2
% 37.25/10.10 |
% 37.25/10.10 | Instantiating formula (9) with all_48_1_72, all_0_3_3, all_48_4_75, veabs, all_0_10_10, all_0_6_6, all_0_7_7, all_0_11_11, all_0_9_9 and discharging atoms vtcheck(all_48_1_72, veabs, all_48_4_75) = 0, vbind(all_0_7_7, all_0_6_6, all_0_3_3) = all_48_1_72, vbind(all_0_9_9, all_0_11_11, all_0_10_10) = all_0_3_3, yields:
% 37.25/10.10 | (158) all_0_7_7 = all_0_9_9 | ? [v0] : ? [v1] : (vtcheck(v1, veabs, all_48_4_75) = 0 & vbind(all_0_7_7, all_0_6_6, all_0_10_10) = v0 & vbind(all_0_9_9, all_0_11_11, v0) = v1)
% 37.25/10.10 |
% 37.25/10.10 +-Applying beta-rule and splitting (158), into two cases.
% 37.25/10.10 |-Branch one:
% 37.25/10.10 | (159) all_0_7_7 = all_0_9_9
% 37.25/10.10 |
% 37.25/10.10 | Equations (159) can reduce 95 to:
% 37.25/10.10 | (160) $false
% 37.25/10.10 |
% 37.25/10.10 |-The branch is then unsatisfiable
% 37.25/10.10 |-Branch two:
% 37.25/10.10 | (95) ~ (all_0_7_7 = all_0_9_9)
% 37.25/10.10 | (162) ? [v0] : ? [v1] : (vtcheck(v1, veabs, all_48_4_75) = 0 & vbind(all_0_7_7, all_0_6_6, all_0_10_10) = v0 & vbind(all_0_9_9, all_0_11_11, v0) = v1)
% 37.25/10.10 |
% 37.25/10.10 | Instantiating (162) with all_106_0_260, all_106_1_261 yields:
% 37.25/10.10 | (163) vtcheck(all_106_0_260, veabs, all_48_4_75) = 0 & vbind(all_0_7_7, all_0_6_6, all_0_10_10) = all_106_1_261 & vbind(all_0_9_9, all_0_11_11, all_106_1_261) = all_106_0_260
% 37.25/10.10 |
% 37.25/10.10 | Applying alpha-rule on (163) yields:
% 37.25/10.10 | (164) vtcheck(all_106_0_260, veabs, all_48_4_75) = 0
% 37.25/10.10 | (165) vbind(all_0_7_7, all_0_6_6, all_0_10_10) = all_106_1_261
% 37.25/10.10 | (166) vbind(all_0_9_9, all_0_11_11, all_106_1_261) = all_106_0_260
% 37.25/10.10 |
% 37.25/10.10 +-Applying beta-rule and splitting (141), into two cases.
% 37.25/10.10 |-Branch one:
% 37.25/10.10 | (167) (all_49_0_79 = all_0_1_1 & all_49_4_83 = all_49_11_90 & all_49_8_87 = 0 & all_49_9_88 = all_0_2_2 & all_49_14_93 = all_0_8_8 & all_49_15_94 = all_0_9_9 & ~ (all_49_12_91 = all_0_9_9) & vsubst(all_49_12_91, all_49_3_82, all_49_10_89) = all_49_2_81 & vsubst(all_0_9_9, all_0_8_8, all_49_1_80) = all_0_1_1 & vgensym(all_49_5_84) = all_49_11_90 & visFreeVar(all_49_12_91, all_0_8_8) = 0 & vapp(all_49_7_86, all_49_6_85) = all_49_5_84 & vapp(all_0_8_8, all_49_10_89) = all_49_7_86 & vabs(all_49_11_90, all_49_13_92, all_49_2_81) = all_49_1_80 & vabs(all_49_12_91, all_49_13_92, all_49_10_89) = all_0_2_2 & vvar(all_49_11_90) = all_49_3_82 & vvar(all_0_9_9) = all_49_6_85) | (all_49_7_86 = all_0_1_1 & all_49_10_89 = all_0_2_2 & all_49_12_91 = all_0_8_8 & all_49_13_92 = all_0_9_9 & ~ (all_49_9_88 = 0) & ~ (all_49_15_94 = all_0_9_9) & vsubst(all_0_9_9, all_0_8_8, all_49_11_90) = all_49_8_87 & visFreeVar(all_49_15_94, all_0_8_8) = all_49_9_88 & vabs(all_49_15_94, all_49_14_93, all_49_8_87) = all_0_1_1 & vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2) | (all_49_8_87 = all_0_1_1 & all_49_11_90 = all_0_2_2 & all_49_13_92 = all_0_8_8 & all_49_14_93 = all_0_9_9 & vsubst(all_0_9_9, all_0_8_8, all_49_12_91) = all_49_9_88 & vsubst(all_0_9_9, all_0_8_8, all_49_15_94) = all_49_10_89 & vapp(all_49_10_89, all_49_9_88) = all_0_1_1 & vapp(all_49_15_94, all_49_12_91) = all_0_2_2) | (all_49_10_89 = all_0_2_2 & all_49_13_92 = all_0_9_9 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_8_8 & all_0_1_1 = all_0_2_2 & vabs(all_0_9_9, all_49_12_91, all_49_11_90) = all_0_2_2) | (all_49_12_91 = all_0_2_2 & all_49_13_92 = all_0_8_8 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_9_9 & all_0_1_1 = all_0_8_8 & vvar(all_0_9_9) = all_0_2_2)
% 37.25/10.10 |
% 37.25/10.10 +-Applying beta-rule and splitting (167), into two cases.
% 37.25/10.10 |-Branch one:
% 37.25/10.10 | (168) (all_49_0_79 = all_0_1_1 & all_49_4_83 = all_49_11_90 & all_49_8_87 = 0 & all_49_9_88 = all_0_2_2 & all_49_14_93 = all_0_8_8 & all_49_15_94 = all_0_9_9 & ~ (all_49_12_91 = all_0_9_9) & vsubst(all_49_12_91, all_49_3_82, all_49_10_89) = all_49_2_81 & vsubst(all_0_9_9, all_0_8_8, all_49_1_80) = all_0_1_1 & vgensym(all_49_5_84) = all_49_11_90 & visFreeVar(all_49_12_91, all_0_8_8) = 0 & vapp(all_49_7_86, all_49_6_85) = all_49_5_84 & vapp(all_0_8_8, all_49_10_89) = all_49_7_86 & vabs(all_49_11_90, all_49_13_92, all_49_2_81) = all_49_1_80 & vabs(all_49_12_91, all_49_13_92, all_49_10_89) = all_0_2_2 & vvar(all_49_11_90) = all_49_3_82 & vvar(all_0_9_9) = all_49_6_85) | (all_49_7_86 = all_0_1_1 & all_49_10_89 = all_0_2_2 & all_49_12_91 = all_0_8_8 & all_49_13_92 = all_0_9_9 & ~ (all_49_9_88 = 0) & ~ (all_49_15_94 = all_0_9_9) & vsubst(all_0_9_9, all_0_8_8, all_49_11_90) = all_49_8_87 & visFreeVar(all_49_15_94, all_0_8_8) = all_49_9_88 & vabs(all_49_15_94, all_49_14_93, all_49_8_87) = all_0_1_1 & vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2) | (all_49_8_87 = all_0_1_1 & all_49_11_90 = all_0_2_2 & all_49_13_92 = all_0_8_8 & all_49_14_93 = all_0_9_9 & vsubst(all_0_9_9, all_0_8_8, all_49_12_91) = all_49_9_88 & vsubst(all_0_9_9, all_0_8_8, all_49_15_94) = all_49_10_89 & vapp(all_49_10_89, all_49_9_88) = all_0_1_1 & vapp(all_49_15_94, all_49_12_91) = all_0_2_2) | (all_49_10_89 = all_0_2_2 & all_49_13_92 = all_0_9_9 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_8_8 & all_0_1_1 = all_0_2_2 & vabs(all_0_9_9, all_49_12_91, all_49_11_90) = all_0_2_2)
% 37.25/10.10 |
% 37.25/10.10 +-Applying beta-rule and splitting (168), into two cases.
% 37.25/10.10 |-Branch one:
% 37.25/10.10 | (169) (all_49_0_79 = all_0_1_1 & all_49_4_83 = all_49_11_90 & all_49_8_87 = 0 & all_49_9_88 = all_0_2_2 & all_49_14_93 = all_0_8_8 & all_49_15_94 = all_0_9_9 & ~ (all_49_12_91 = all_0_9_9) & vsubst(all_49_12_91, all_49_3_82, all_49_10_89) = all_49_2_81 & vsubst(all_0_9_9, all_0_8_8, all_49_1_80) = all_0_1_1 & vgensym(all_49_5_84) = all_49_11_90 & visFreeVar(all_49_12_91, all_0_8_8) = 0 & vapp(all_49_7_86, all_49_6_85) = all_49_5_84 & vapp(all_0_8_8, all_49_10_89) = all_49_7_86 & vabs(all_49_11_90, all_49_13_92, all_49_2_81) = all_49_1_80 & vabs(all_49_12_91, all_49_13_92, all_49_10_89) = all_0_2_2 & vvar(all_49_11_90) = all_49_3_82 & vvar(all_0_9_9) = all_49_6_85) | (all_49_7_86 = all_0_1_1 & all_49_10_89 = all_0_2_2 & all_49_12_91 = all_0_8_8 & all_49_13_92 = all_0_9_9 & ~ (all_49_9_88 = 0) & ~ (all_49_15_94 = all_0_9_9) & vsubst(all_0_9_9, all_0_8_8, all_49_11_90) = all_49_8_87 & visFreeVar(all_49_15_94, all_0_8_8) = all_49_9_88 & vabs(all_49_15_94, all_49_14_93, all_49_8_87) = all_0_1_1 & vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2) | (all_49_8_87 = all_0_1_1 & all_49_11_90 = all_0_2_2 & all_49_13_92 = all_0_8_8 & all_49_14_93 = all_0_9_9 & vsubst(all_0_9_9, all_0_8_8, all_49_12_91) = all_49_9_88 & vsubst(all_0_9_9, all_0_8_8, all_49_15_94) = all_49_10_89 & vapp(all_49_10_89, all_49_9_88) = all_0_1_1 & vapp(all_49_15_94, all_49_12_91) = all_0_2_2)
% 37.25/10.10 |
% 37.25/10.10 +-Applying beta-rule and splitting (169), into two cases.
% 37.25/10.10 |-Branch one:
% 37.25/10.10 | (170) (all_49_0_79 = all_0_1_1 & all_49_4_83 = all_49_11_90 & all_49_8_87 = 0 & all_49_9_88 = all_0_2_2 & all_49_14_93 = all_0_8_8 & all_49_15_94 = all_0_9_9 & ~ (all_49_12_91 = all_0_9_9) & vsubst(all_49_12_91, all_49_3_82, all_49_10_89) = all_49_2_81 & vsubst(all_0_9_9, all_0_8_8, all_49_1_80) = all_0_1_1 & vgensym(all_49_5_84) = all_49_11_90 & visFreeVar(all_49_12_91, all_0_8_8) = 0 & vapp(all_49_7_86, all_49_6_85) = all_49_5_84 & vapp(all_0_8_8, all_49_10_89) = all_49_7_86 & vabs(all_49_11_90, all_49_13_92, all_49_2_81) = all_49_1_80 & vabs(all_49_12_91, all_49_13_92, all_49_10_89) = all_0_2_2 & vvar(all_49_11_90) = all_49_3_82 & vvar(all_0_9_9) = all_49_6_85) | (all_49_7_86 = all_0_1_1 & all_49_10_89 = all_0_2_2 & all_49_12_91 = all_0_8_8 & all_49_13_92 = all_0_9_9 & ~ (all_49_9_88 = 0) & ~ (all_49_15_94 = all_0_9_9) & vsubst(all_0_9_9, all_0_8_8, all_49_11_90) = all_49_8_87 & visFreeVar(all_49_15_94, all_0_8_8) = all_49_9_88 & vabs(all_49_15_94, all_49_14_93, all_49_8_87) = all_0_1_1 & vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2)
% 37.25/10.11 |
% 37.25/10.11 +-Applying beta-rule and splitting (170), into two cases.
% 37.25/10.11 |-Branch one:
% 37.25/10.11 | (171) all_49_0_79 = all_0_1_1 & all_49_4_83 = all_49_11_90 & all_49_8_87 = 0 & all_49_9_88 = all_0_2_2 & all_49_14_93 = all_0_8_8 & all_49_15_94 = all_0_9_9 & ~ (all_49_12_91 = all_0_9_9) & vsubst(all_49_12_91, all_49_3_82, all_49_10_89) = all_49_2_81 & vsubst(all_0_9_9, all_0_8_8, all_49_1_80) = all_0_1_1 & vgensym(all_49_5_84) = all_49_11_90 & visFreeVar(all_49_12_91, all_0_8_8) = 0 & vapp(all_49_7_86, all_49_6_85) = all_49_5_84 & vapp(all_0_8_8, all_49_10_89) = all_49_7_86 & vabs(all_49_11_90, all_49_13_92, all_49_2_81) = all_49_1_80 & vabs(all_49_12_91, all_49_13_92, all_49_10_89) = all_0_2_2 & vvar(all_49_11_90) = all_49_3_82 & vvar(all_0_9_9) = all_49_6_85
% 37.25/10.11 |
% 37.25/10.11 | Applying alpha-rule on (171) yields:
% 37.25/10.11 | (172) vgensym(all_49_5_84) = all_49_11_90
% 37.25/10.11 | (173) vsubst(all_49_12_91, all_49_3_82, all_49_10_89) = all_49_2_81
% 37.25/10.11 | (174) all_49_4_83 = all_49_11_90
% 37.25/10.11 | (175) all_49_8_87 = 0
% 37.25/10.11 | (176) vapp(all_49_7_86, all_49_6_85) = all_49_5_84
% 37.25/10.11 | (177) vsubst(all_0_9_9, all_0_8_8, all_49_1_80) = all_0_1_1
% 37.25/10.11 | (178) vapp(all_0_8_8, all_49_10_89) = all_49_7_86
% 37.25/10.11 | (179) vabs(all_49_11_90, all_49_13_92, all_49_2_81) = all_49_1_80
% 37.25/10.11 | (180) all_49_9_88 = all_0_2_2
% 37.25/10.11 | (181) vvar(all_49_11_90) = all_49_3_82
% 37.25/10.11 | (182) visFreeVar(all_49_12_91, all_0_8_8) = 0
% 37.25/10.11 | (183) all_49_14_93 = all_0_8_8
% 37.25/10.11 | (184) vabs(all_49_12_91, all_49_13_92, all_49_10_89) = all_0_2_2
% 37.25/10.11 | (185) all_49_0_79 = all_0_1_1
% 37.25/10.11 | (186) vvar(all_0_9_9) = all_49_6_85
% 37.25/10.11 | (187) ~ (all_49_12_91 = all_0_9_9)
% 37.25/10.11 | (188) all_49_15_94 = all_0_9_9
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (111) with all_0_2_2, all_49_10_89, all_49_13_92, all_49_12_91, veabs, all_0_6_6, all_0_7_7 and discharging atoms vabs(all_49_12_91, all_49_13_92, all_49_10_89) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.11 | (189) all_49_12_91 = all_0_7_7
% 37.25/10.11 |
% 37.25/10.11 | From (189) and (182) follows:
% 37.25/10.11 | (190) visFreeVar(all_0_7_7, all_0_8_8) = 0
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (87) with all_0_7_7, all_0_8_8, 0, all_0_4_4 and discharging atoms visFreeVar(all_0_7_7, all_0_8_8) = all_0_4_4, visFreeVar(all_0_7_7, all_0_8_8) = 0, yields:
% 37.25/10.11 | (191) all_0_4_4 = 0
% 37.25/10.11 |
% 37.25/10.11 | Equations (191) can reduce 38 to:
% 37.25/10.11 | (160) $false
% 37.25/10.11 |
% 37.25/10.11 |-The branch is then unsatisfiable
% 37.25/10.11 |-Branch two:
% 37.25/10.11 | (193) all_49_7_86 = all_0_1_1 & all_49_10_89 = all_0_2_2 & all_49_12_91 = all_0_8_8 & all_49_13_92 = all_0_9_9 & ~ (all_49_9_88 = 0) & ~ (all_49_15_94 = all_0_9_9) & vsubst(all_0_9_9, all_0_8_8, all_49_11_90) = all_49_8_87 & visFreeVar(all_49_15_94, all_0_8_8) = all_49_9_88 & vabs(all_49_15_94, all_49_14_93, all_49_8_87) = all_0_1_1 & vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2
% 37.25/10.11 |
% 37.25/10.11 | Applying alpha-rule on (193) yields:
% 37.25/10.11 | (194) vabs(all_49_15_94, all_49_14_93, all_49_8_87) = all_0_1_1
% 37.25/10.11 | (195) all_49_12_91 = all_0_8_8
% 37.25/10.11 | (196) ~ (all_49_9_88 = 0)
% 37.25/10.11 | (197) vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2
% 37.25/10.11 | (198) visFreeVar(all_49_15_94, all_0_8_8) = all_49_9_88
% 37.25/10.11 | (199) all_49_10_89 = all_0_2_2
% 37.25/10.11 | (200) all_49_7_86 = all_0_1_1
% 37.25/10.11 | (201) vsubst(all_0_9_9, all_0_8_8, all_49_11_90) = all_49_8_87
% 37.25/10.11 | (202) all_49_13_92 = all_0_9_9
% 37.25/10.11 | (203) ~ (all_49_15_94 = all_0_9_9)
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (90) with all_0_2_2, all_49_11_90, all_49_14_93, all_49_15_94, veabs, all_0_6_6, all_0_7_7 and discharging atoms vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.11 | (204) all_49_11_90 = veabs
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (7) with all_0_2_2, all_49_11_90, all_49_14_93, all_49_15_94, veabs, all_0_6_6, all_0_7_7 and discharging atoms vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.11 | (205) all_49_14_93 = all_0_6_6
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (111) with all_0_2_2, all_49_11_90, all_49_14_93, all_49_15_94, veabs, all_0_6_6, all_0_7_7 and discharging atoms vabs(all_49_15_94, all_49_14_93, all_49_11_90) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.11 | (206) all_49_15_94 = all_0_7_7
% 37.25/10.11 |
% 37.25/10.11 | From (204) and (201) follows:
% 37.25/10.11 | (207) vsubst(all_0_9_9, all_0_8_8, veabs) = all_49_8_87
% 37.25/10.11 |
% 37.25/10.11 | From (206) and (198) follows:
% 37.25/10.11 | (208) visFreeVar(all_0_7_7, all_0_8_8) = all_49_9_88
% 37.25/10.11 |
% 37.25/10.11 | From (206)(205) and (194) follows:
% 37.25/10.11 | (209) vabs(all_0_7_7, all_0_6_6, all_49_8_87) = all_0_1_1
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (87) with all_0_7_7, all_0_8_8, all_49_9_88, all_0_4_4 and discharging atoms visFreeVar(all_0_7_7, all_0_8_8) = all_49_9_88, visFreeVar(all_0_7_7, all_0_8_8) = all_0_4_4, yields:
% 37.25/10.11 | (210) all_49_9_88 = all_0_4_4
% 37.25/10.11 |
% 37.25/10.11 | Equations (210) can reduce 196 to:
% 37.25/10.11 | (38) ~ (all_0_4_4 = 0)
% 37.25/10.11 |
% 37.25/10.11 | From (210) and (208) follows:
% 37.25/10.11 | (24) visFreeVar(all_0_7_7, all_0_8_8) = all_0_4_4
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (47) with all_0_0_0, all_0_5_5, all_0_1_1, all_48_4_75, all_0_6_6, all_49_8_87, all_0_7_7, all_0_10_10 and discharging atoms varrow(all_0_6_6, all_48_4_75) = all_0_5_5, vtcheck(all_0_10_10, all_0_1_1, all_0_5_5) = all_0_0_0, vabs(all_0_7_7, all_0_6_6, all_49_8_87) = all_0_1_1, yields:
% 37.25/10.11 | (213) all_0_0_0 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & vtcheck(v0, all_49_8_87, all_48_4_75) = v1 & vbind(all_0_7_7, all_0_6_6, all_0_10_10) = v0)
% 37.25/10.11 |
% 37.25/10.11 +-Applying beta-rule and splitting (213), into two cases.
% 37.25/10.11 |-Branch one:
% 37.25/10.11 | (214) all_0_0_0 = 0
% 37.25/10.11 |
% 37.25/10.11 | Equations (214) can reduce 89 to:
% 37.25/10.11 | (160) $false
% 37.25/10.11 |
% 37.25/10.11 |-The branch is then unsatisfiable
% 37.25/10.11 |-Branch two:
% 37.25/10.11 | (89) ~ (all_0_0_0 = 0)
% 37.25/10.11 | (217) ? [v0] : ? [v1] : ( ~ (v1 = 0) & vtcheck(v0, all_49_8_87, all_48_4_75) = v1 & vbind(all_0_7_7, all_0_6_6, all_0_10_10) = v0)
% 37.25/10.11 |
% 37.25/10.11 | Instantiating (217) with all_175_0_324, all_175_1_325 yields:
% 37.25/10.11 | (218) ~ (all_175_0_324 = 0) & vtcheck(all_175_1_325, all_49_8_87, all_48_4_75) = all_175_0_324 & vbind(all_0_7_7, all_0_6_6, all_0_10_10) = all_175_1_325
% 37.25/10.11 |
% 37.25/10.11 | Applying alpha-rule on (218) yields:
% 37.25/10.11 | (219) ~ (all_175_0_324 = 0)
% 37.25/10.11 | (220) vtcheck(all_175_1_325, all_49_8_87, all_48_4_75) = all_175_0_324
% 37.25/10.11 | (221) vbind(all_0_7_7, all_0_6_6, all_0_10_10) = all_175_1_325
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (61) with all_175_1_325, all_106_1_261, all_0_10_10, all_0_6_6, all_0_7_7 and discharging atoms vbind(all_0_7_7, all_0_6_6, all_0_10_10) = all_175_1_325, vbind(all_0_7_7, all_0_6_6, all_0_10_10) = all_106_1_261, yields:
% 37.25/10.11 | (222) all_175_1_325 = all_106_1_261
% 37.25/10.11 |
% 37.25/10.11 | From (222) and (220) follows:
% 37.25/10.11 | (223) vtcheck(all_106_1_261, all_49_8_87, all_48_4_75) = all_175_0_324
% 37.25/10.11 |
% 37.25/10.11 | From (222) and (221) follows:
% 37.25/10.11 | (165) vbind(all_0_7_7, all_0_6_6, all_0_10_10) = all_106_1_261
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (4) with all_175_0_324, all_49_8_87, all_106_0_260, all_48_4_75, all_0_8_8, all_0_9_9, all_106_1_261, all_0_11_11 and discharging atoms vsubst(all_0_9_9, all_0_8_8, veabs) = all_49_8_87, vtcheck(all_106_0_260, veabs, all_48_4_75) = 0, vtcheck(all_106_1_261, all_49_8_87, all_48_4_75) = all_175_0_324, vbind(all_0_9_9, all_0_11_11, all_106_1_261) = all_106_0_260, yields:
% 37.25/10.11 | (225) all_175_0_324 = 0 | ? [v0] : ( ~ (v0 = 0) & vtcheck(all_106_1_261, all_0_8_8, all_0_11_11) = v0)
% 37.25/10.11 |
% 37.25/10.11 +-Applying beta-rule and splitting (225), into two cases.
% 37.25/10.11 |-Branch one:
% 37.25/10.11 | (226) all_175_0_324 = 0
% 37.25/10.11 |
% 37.25/10.11 | Equations (226) can reduce 219 to:
% 37.25/10.11 | (160) $false
% 37.25/10.11 |
% 37.25/10.11 |-The branch is then unsatisfiable
% 37.25/10.11 |-Branch two:
% 37.25/10.11 | (219) ~ (all_175_0_324 = 0)
% 37.25/10.11 | (229) ? [v0] : ( ~ (v0 = 0) & vtcheck(all_106_1_261, all_0_8_8, all_0_11_11) = v0)
% 37.25/10.11 |
% 37.25/10.11 | Instantiating (229) with all_193_0_334 yields:
% 37.25/10.11 | (230) ~ (all_193_0_334 = 0) & vtcheck(all_106_1_261, all_0_8_8, all_0_11_11) = all_193_0_334
% 37.25/10.11 |
% 37.25/10.11 | Applying alpha-rule on (230) yields:
% 37.25/10.11 | (231) ~ (all_193_0_334 = 0)
% 37.25/10.11 | (232) vtcheck(all_106_1_261, all_0_8_8, all_0_11_11) = all_193_0_334
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (100) with all_193_0_334, all_106_1_261, all_0_11_11, all_0_8_8, all_0_10_10, all_0_6_6, all_0_7_7 and discharging atoms vtcheck(all_106_1_261, all_0_8_8, all_0_11_11) = all_193_0_334, vbind(all_0_7_7, all_0_6_6, all_0_10_10) = all_106_1_261, yields:
% 37.25/10.11 | (233) all_193_0_334 = 0 | ? [v0] : ((v0 = 0 & visFreeVar(all_0_7_7, all_0_8_8) = 0) | ( ~ (v0 = 0) & vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = v0))
% 37.25/10.11 |
% 37.25/10.11 +-Applying beta-rule and splitting (233), into two cases.
% 37.25/10.11 |-Branch one:
% 37.25/10.11 | (234) all_193_0_334 = 0
% 37.25/10.11 |
% 37.25/10.11 | Equations (234) can reduce 231 to:
% 37.25/10.11 | (160) $false
% 37.25/10.11 |
% 37.25/10.11 |-The branch is then unsatisfiable
% 37.25/10.11 |-Branch two:
% 37.25/10.11 | (231) ~ (all_193_0_334 = 0)
% 37.25/10.11 | (237) ? [v0] : ((v0 = 0 & visFreeVar(all_0_7_7, all_0_8_8) = 0) | ( ~ (v0 = 0) & vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = v0))
% 37.25/10.11 |
% 37.25/10.11 | Instantiating (237) with all_216_0_346 yields:
% 37.25/10.11 | (238) (all_216_0_346 = 0 & visFreeVar(all_0_7_7, all_0_8_8) = 0) | ( ~ (all_216_0_346 = 0) & vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = all_216_0_346)
% 37.25/10.11 |
% 37.25/10.11 +-Applying beta-rule and splitting (238), into two cases.
% 37.25/10.11 |-Branch one:
% 37.25/10.11 | (239) all_216_0_346 = 0 & visFreeVar(all_0_7_7, all_0_8_8) = 0
% 37.25/10.11 |
% 37.25/10.11 | Applying alpha-rule on (239) yields:
% 37.25/10.11 | (240) all_216_0_346 = 0
% 37.25/10.11 | (190) visFreeVar(all_0_7_7, all_0_8_8) = 0
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (87) with all_0_7_7, all_0_8_8, 0, all_0_4_4 and discharging atoms visFreeVar(all_0_7_7, all_0_8_8) = all_0_4_4, visFreeVar(all_0_7_7, all_0_8_8) = 0, yields:
% 37.25/10.11 | (191) all_0_4_4 = 0
% 37.25/10.11 |
% 37.25/10.11 | Equations (191) can reduce 38 to:
% 37.25/10.11 | (160) $false
% 37.25/10.11 |
% 37.25/10.11 |-The branch is then unsatisfiable
% 37.25/10.11 |-Branch two:
% 37.25/10.11 | (244) ~ (all_216_0_346 = 0) & vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = all_216_0_346
% 37.25/10.11 |
% 37.25/10.11 | Applying alpha-rule on (244) yields:
% 37.25/10.11 | (245) ~ (all_216_0_346 = 0)
% 37.25/10.11 | (246) vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = all_216_0_346
% 37.25/10.11 |
% 37.25/10.11 | Instantiating formula (88) with all_0_10_10, all_0_8_8, all_0_11_11, all_216_0_346, 0 and discharging atoms vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = all_216_0_346, vtcheck(all_0_10_10, all_0_8_8, all_0_11_11) = 0, yields:
% 37.25/10.11 | (240) all_216_0_346 = 0
% 37.25/10.11 |
% 37.25/10.11 | Equations (240) can reduce 245 to:
% 37.25/10.11 | (160) $false
% 37.25/10.11 |
% 37.25/10.11 |-The branch is then unsatisfiable
% 37.25/10.11 |-Branch two:
% 37.25/10.11 | (249) all_49_8_87 = all_0_1_1 & all_49_11_90 = all_0_2_2 & all_49_13_92 = all_0_8_8 & all_49_14_93 = all_0_9_9 & vsubst(all_0_9_9, all_0_8_8, all_49_12_91) = all_49_9_88 & vsubst(all_0_9_9, all_0_8_8, all_49_15_94) = all_49_10_89 & vapp(all_49_10_89, all_49_9_88) = all_0_1_1 & vapp(all_49_15_94, all_49_12_91) = all_0_2_2
% 37.25/10.11 |
% 37.25/10.11 | Applying alpha-rule on (249) yields:
% 37.25/10.11 | (250) vapp(all_49_15_94, all_49_12_91) = all_0_2_2
% 37.25/10.11 | (251) vsubst(all_0_9_9, all_0_8_8, all_49_12_91) = all_49_9_88
% 37.25/10.12 | (252) all_49_14_93 = all_0_9_9
% 37.25/10.12 | (253) all_49_11_90 = all_0_2_2
% 37.25/10.12 | (254) vsubst(all_0_9_9, all_0_8_8, all_49_15_94) = all_49_10_89
% 37.25/10.12 | (255) all_49_13_92 = all_0_8_8
% 37.25/10.12 | (256) all_49_8_87 = all_0_1_1
% 37.25/10.12 | (257) vapp(all_49_10_89, all_49_9_88) = all_0_1_1
% 37.25/10.12 |
% 37.25/10.12 | Instantiating formula (52) with all_0_2_2, all_49_12_91, all_49_15_94, veabs, all_0_6_6, all_0_7_7 and discharging atoms vapp(all_49_15_94, all_49_12_91) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.12 | (258) $false
% 37.25/10.12 |
% 37.25/10.12 |-The branch is then unsatisfiable
% 37.25/10.12 |-Branch two:
% 37.25/10.12 | (259) all_49_10_89 = all_0_2_2 & all_49_13_92 = all_0_9_9 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_8_8 & all_0_1_1 = all_0_2_2 & vabs(all_0_9_9, all_49_12_91, all_49_11_90) = all_0_2_2
% 37.25/10.12 |
% 37.25/10.12 | Applying alpha-rule on (259) yields:
% 37.25/10.12 | (260) all_0_1_1 = all_0_2_2
% 37.25/10.12 | (261) all_49_15_94 = all_0_8_8
% 37.25/10.12 | (252) all_49_14_93 = all_0_9_9
% 37.25/10.12 | (263) vabs(all_0_9_9, all_49_12_91, all_49_11_90) = all_0_2_2
% 37.25/10.12 | (199) all_49_10_89 = all_0_2_2
% 37.25/10.12 | (202) all_49_13_92 = all_0_9_9
% 37.25/10.12 |
% 37.25/10.12 | Instantiating formula (111) with all_0_2_2, all_49_11_90, all_49_12_91, all_0_9_9, veabs, all_0_6_6, all_0_7_7 and discharging atoms vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, vabs(all_0_9_9, all_49_12_91, all_49_11_90) = all_0_2_2, yields:
% 37.25/10.12 | (159) all_0_7_7 = all_0_9_9
% 37.25/10.12 |
% 37.25/10.12 | Equations (159) can reduce 95 to:
% 37.25/10.12 | (160) $false
% 37.25/10.12 |
% 37.25/10.12 |-The branch is then unsatisfiable
% 37.25/10.12 |-Branch two:
% 37.25/10.12 | (268) all_49_12_91 = all_0_2_2 & all_49_13_92 = all_0_8_8 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_9_9 & all_0_1_1 = all_0_8_8 & vvar(all_0_9_9) = all_0_2_2
% 37.25/10.12 |
% 37.25/10.12 | Applying alpha-rule on (268) yields:
% 37.25/10.12 | (269) vvar(all_0_9_9) = all_0_2_2
% 37.25/10.12 | (270) all_0_1_1 = all_0_8_8
% 37.25/10.12 | (252) all_49_14_93 = all_0_9_9
% 37.25/10.12 | (272) all_49_12_91 = all_0_2_2
% 37.25/10.12 | (188) all_49_15_94 = all_0_9_9
% 37.25/10.12 | (255) all_49_13_92 = all_0_8_8
% 37.25/10.12 |
% 37.25/10.12 | Instantiating formula (120) with all_0_2_2, veabs, all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, vvar(all_0_9_9) = all_0_2_2, yields:
% 37.25/10.12 | (258) $false
% 37.25/10.12 |
% 37.25/10.12 |-The branch is then unsatisfiable
% 37.25/10.12 |-Branch two:
% 37.25/10.12 | (276) all_49_12_91 = all_0_2_2 & all_49_14_93 = all_0_9_9 & all_49_15_94 = all_0_8_8 & all_0_1_1 = all_0_2_2 & ~ (all_49_13_92 = all_0_9_9) & vvar(all_49_13_92) = all_0_2_2
% 37.25/10.12 |
% 37.25/10.12 | Applying alpha-rule on (276) yields:
% 37.25/10.12 | (260) all_0_1_1 = all_0_2_2
% 37.25/10.12 | (261) all_49_15_94 = all_0_8_8
% 37.25/10.12 | (252) all_49_14_93 = all_0_9_9
% 37.25/10.12 | (280) vvar(all_49_13_92) = all_0_2_2
% 37.25/10.12 | (272) all_49_12_91 = all_0_2_2
% 37.25/10.12 | (282) ~ (all_49_13_92 = all_0_9_9)
% 37.25/10.12 |
% 37.25/10.12 | Instantiating formula (120) with all_0_2_2, veabs, all_0_6_6, all_0_7_7, all_49_13_92 and discharging atoms vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, vvar(all_49_13_92) = all_0_2_2, yields:
% 37.25/10.12 | (258) $false
% 37.25/10.12 |
% 37.25/10.12 |-The branch is then unsatisfiable
% 37.25/10.12 |-Branch two:
% 37.25/10.12 | (284) all_48_1_72 = 0 & all_48_2_73 = 0 & all_48_4_75 = all_0_2_2 & varrow(all_48_5_76, all_0_5_5) = all_48_3_74 & vtcheck(all_0_3_3, all_48_6_77, all_48_5_76) = 0 & vtcheck(all_0_3_3, all_48_7_78, all_48_3_74) = 0 & vapp(all_48_7_78, all_48_6_77) = all_0_2_2
% 37.25/10.12 |
% 37.25/10.12 | Applying alpha-rule on (284) yields:
% 37.25/10.12 | (285) vapp(all_48_7_78, all_48_6_77) = all_0_2_2
% 37.25/10.12 | (286) vtcheck(all_0_3_3, all_48_7_78, all_48_3_74) = 0
% 37.25/10.12 | (287) all_48_1_72 = 0
% 37.25/10.12 | (288) vtcheck(all_0_3_3, all_48_6_77, all_48_5_76) = 0
% 37.25/10.12 | (289) varrow(all_48_5_76, all_0_5_5) = all_48_3_74
% 37.25/10.12 | (290) all_48_2_73 = 0
% 37.25/10.12 | (291) all_48_4_75 = all_0_2_2
% 37.25/10.12 |
% 37.25/10.12 | Instantiating formula (52) with all_0_2_2, all_48_6_77, all_48_7_78, veabs, all_0_6_6, all_0_7_7 and discharging atoms vapp(all_48_7_78, all_48_6_77) = all_0_2_2, vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, yields:
% 37.25/10.12 | (258) $false
% 37.25/10.12 |
% 37.25/10.12 |-The branch is then unsatisfiable
% 37.25/10.12 |-Branch two:
% 37.25/10.12 | (293) all_48_4_75 = all_48_7_78 & all_48_5_76 = all_0_2_2 & vlookup(all_48_6_77, all_0_3_3) = all_48_7_78 & vsomeType(all_0_5_5) = all_48_7_78 & vvar(all_48_6_77) = all_0_2_2
% 37.25/10.12 |
% 37.25/10.12 | Applying alpha-rule on (293) yields:
% 37.25/10.12 | (294) vvar(all_48_6_77) = all_0_2_2
% 37.25/10.12 | (295) vlookup(all_48_6_77, all_0_3_3) = all_48_7_78
% 37.25/10.12 | (296) all_48_4_75 = all_48_7_78
% 37.25/10.12 | (297) vsomeType(all_0_5_5) = all_48_7_78
% 37.25/10.12 | (298) all_48_5_76 = all_0_2_2
% 37.25/10.12 |
% 37.25/10.12 | Instantiating formula (120) with all_0_2_2, veabs, all_0_6_6, all_0_7_7, all_48_6_77 and discharging atoms vabs(all_0_7_7, all_0_6_6, veabs) = all_0_2_2, vvar(all_48_6_77) = all_0_2_2, yields:
% 37.25/10.12 | (258) $false
% 37.25/10.12 |
% 37.25/10.12 |-The branch is then unsatisfiable
% 37.25/10.12 % SZS output end Proof for theBenchmark
% 37.25/10.12
% 37.25/10.12 9517ms
%------------------------------------------------------------------------------