%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COM149+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:03:41 PM UTC 2026
% Result : Theorem 233.17s 43.10s
% Output : Proof 233.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM149+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/10.60 % Computer : n013.cluster.edu
% 0.09/10.60 % Model : x86_64 x86_64
% 0.09/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.60 % Memory : 8046.5625MB
% 0.09/10.60 % OS : Linux 6.8.0-71-generic
% 0.09/10.60 % CPULimit : 300
% 0.13/10.60 % WCLimit : 300
% 0.13/10.60 % DateTime : Fri Sep 25 07:57:36 UTC 2026
% 0.13/10.60 % CPUTime :
% 0.13/10.60 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 233.17/43.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 233.17/43.10 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 233.17/43.10 fof(sdef2, definition, (spl2 <=> (~$true)), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 233.17/43.10 cnf(p27, plain, (~$true | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 233.17/43.10 fof(sdef1, definition, (spl1 <=> ($true)), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 233.17/43.10 cnf(p25, plain, ($true | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 233.17/43.10 cnf(p332, plain, ($false | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p27, p25])).
% 233.17/43.10 cnf(sct0, plain, (~spl1 | ~spl2), inference(avatar_contradiction_clause, [status(thm)], [p332])).
% 233.17/43.10 fof(sdef0, definition, (spl0 <=> (vempty != vempty)), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 233.17/43.10 cnf(p24, plain, (vempty != vempty | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 233.17/43.10 cnf(p333, plain, ($false | ~spl0), inference(equality_resolution, [status(thm)], [p24])).
% 233.17/43.10 cnf(sct1, plain, (~spl0), inference(avatar_contradiction_clause, [status(thm)], [p333])).
% 233.17/43.10 fof(sdef4, definition, (spl4 <=> (vnoType != vnoType)), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 233.17/43.10 cnf(p34, plain, (vnoType != vnoType | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 233.17/43.10 cnf(p334, plain, ($false | ~spl4), inference(equality_resolution, [status(thm)], [p34])).
% 233.17/43.10 cnf(sct2, plain, (~spl4), inference(avatar_contradiction_clause, [status(thm)], [p334])).
% 233.17/43.10 fof(sdef6, definition, (spl6 <=> (vnoExp != vnoExp)), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 233.17/43.10 cnf(p202, plain, (vnoExp != vnoExp | ~spl6), inference(avatar_component_clause, [status(thm)], [sdef6])).
% 233.17/43.10 cnf(p335, plain, ($false | ~spl6), inference(equality_resolution, [status(thm)], [p202])).
% 233.17/43.10 cnf(sct3, plain, (~spl6), inference(avatar_contradiction_clause, [status(thm)], [p335])).
% 233.17/43.10 fof(sdef22, definition, (spl22 <=> (sk75 != vvar(sk75))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 233.17/43.10 cnf(p3255, plain, (sk75 != vvar(sk75) | ~spl22), inference(avatar_component_clause, [status(thm)], [sdef22])).
% 233.17/43.10 fof(sdef14, definition, (spl14 <=> (visFreeVar(vvar(sk75),vvar(sk75)))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 233.17/43.10 cnf(p3027, plain, (visFreeVar(vvar(sk75),vvar(sk75)) | ~spl14), inference(avatar_component_clause, [status(thm)], [sdef14])).
% 233.17/43.10 fof(f9, axiom, ! [VVar0,VExp0,Vx,Vv] : ( ( VVar0 = Vv & VExp0 = vvar(Vx) ) => ( ( Vx = Vv => visFreeVar(VVar0,VExp0) ) & ( visFreeVar(VVar0,VExp0) => Vx = Vv ) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', isFreeVar0)).
% 233.17/43.10 fof(f9_nnf, plain, ! [VVar0,VExp0,Vx,Vv] : (((VVar0 != Vv | VExp0 != vvar(Vx)) | ((Vx != Vv | visFreeVar(VVar0,VExp0)) & (~(visFreeVar(VVar0,VExp0)) | Vx = Vv)))), inference(nnf_transformation, [status(thm)], [f9])).
% 233.17/43.10 fof(f9_sk, plain, ! [VVar0,Vv,VExp0,Vx] : (((VVar0 != Vv | VExp0 != vvar(Vx)) | ((Vx != Vv | visFreeVar(VVar0,VExp0)) & (~(visFreeVar(VVar0,VExp0)) | Vx = Vv)))), inference(skolemisation, [status(esa)], [f9_nnf])).
% 233.17/43.10 cnf(c16, plain, X0 != X3 | X1 != vvar(X2) | ~visFreeVar(X0,X1) | X2 = X3, inference(cnf_transformation, [status(esa)], [f9_sk])).
% 233.17/43.10 cnf(p360, plain, X0 != vvar(X1) | ~visFreeVar(X2,X0) | X1 = X2, inference(equality_resolution, [status(thm)], [c16])).
% 233.17/43.10 cnf(p445, plain, ~visFreeVar(X0,vvar(X1)) | X1 = X0, inference(equality_resolution, [status(thm)], [p360])).
% 233.17/43.10 cnf(p3209, plain, (sk75 = vvar(sk75) | ~spl14), inference(resolution, [status(thm)], [p3027, p445])).
% 233.17/43.10 cnf(p4044, plain, ($false | ~spl14 | ~spl22), inference(resolution, [status(thm)], [p3255, p3209])).
% 233.17/43.10 cnf(sct4, plain, (~spl14 | ~spl22), inference(avatar_contradiction_clause, [status(thm)], [p4044])).
% 233.17/43.10 fof(sdef37, definition, (spl37 <=> (~visFreeVar(sk75,sk75))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 233.17/43.10 cnf(p4235, plain, (~visFreeVar(sk75,sk75) | ~spl37), inference(avatar_component_clause, [status(thm)], [sdef37])).
% 233.17/43.10 fof(sdef21, definition, (spl21 <=> (X0 != sk75 | visFreeVar(X0,X0))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 233.17/43.10 cnf(p3254, plain, (X0 != sk75 | visFreeVar(X0,X0) | ~spl21), inference(avatar_component_clause, [status(thm)], [sdef21])).
% 233.17/43.10 cnf(p4045, plain, (visFreeVar(sk75,sk75) | ~spl21), inference(equality_resolution, [status(thm)], [p3254])).
% 233.17/43.10 cnf(p4539, plain, ($false | ~spl21 | ~spl37), inference(resolution, [status(thm)], [p4235, p4045])).
% 233.17/43.10 cnf(sct5, plain, (~spl21 | ~spl37), inference(avatar_contradiction_clause, [status(thm)], [p4539])).
% 233.17/43.10 fof(sdef34, definition, (spl34 <=> (visFreeVar(sk75,sk75))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 233.17/43.10 cnf(p4228, plain, (visFreeVar(sk75,sk75) | ~spl34), inference(avatar_component_clause, [status(thm)], [sdef34])).
% 233.17/43.10 cnf(p4540, plain, ($false | ~spl34 | ~spl37), inference(resolution, [status(thm)], [p4235, p4228])).
% 233.17/43.10 cnf(sct6, plain, (~spl34 | ~spl37), inference(avatar_contradiction_clause, [status(thm)], [p4540])).
% 233.17/43.10 fof(sdef15, definition, (spl15 <=> (X0 != vvar(sk75) | visFreeVar(X0,X0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 233.17/43.10 cnf(p3029, plain, (X0 != vvar(sk75) | visFreeVar(X0,X0) | ~spl15), inference(avatar_component_clause, [status(thm)], [sdef15])).
% 233.17/43.10 cnf(p4671, plain, (visFreeVar(vvar(sk75),vvar(sk75)) | ~spl15), inference(equality_resolution, [status(thm)], [p3029])).
% 233.17/43.10 fof(sdef18, definition, (spl18 <=> (~visFreeVar(vvar(sk75),vvar(sk75)))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 233.17/43.10 cnf(p3035, plain, (~visFreeVar(vvar(sk75),vvar(sk75)) | ~spl18), inference(avatar_component_clause, [status(thm)], [sdef18])).
% 233.17/43.10 cnf(p4802, plain, ($false | ~spl15 | ~spl18), inference(resolution, [status(thm)], [p4671, p3035])).
% 233.17/43.10 cnf(sct7, plain, (~spl15 | ~spl18), inference(avatar_contradiction_clause, [status(thm)], [p4802])).
% 233.17/43.10 fof(sdef48, definition, (spl48 <=> (vnoType = vsomeType(sk74))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 233.17/43.10 cnf(p5103, plain, (vnoType = vsomeType(sk74) | ~spl48), inference(avatar_component_clause, [status(thm)], [sdef48])).
% 233.17/43.10 fof(f17, axiom, ! [VTyp0] : vnoType != vsomeType(VTyp0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd11)).
% 233.17/43.10 fof(f17_nnf, plain, ! [VTyp0] : (vnoType != vsomeType(VTyp0)), inference(nnf_transformation, [status(thm)], [f17])).
% 233.17/43.10 fof(f17_sk, plain, ! [VTyp0] : (vnoType != vsomeType(VTyp0)), inference(skolemisation, [status(esa)], [f17_nnf])).
% 233.17/43.10 cnf(c34, plain, vnoType != vsomeType(X0), inference(cnf_transformation, [status(esa)], [f17_sk])).
% 233.17/43.10 cnf(p5267, plain, ($false | ~spl48), inference(resolution, [status(thm)], [p5103, c34])).
% 233.17/43.10 cnf(sct8, plain, (~spl48), inference(avatar_contradiction_clause, [status(thm)], [p5267])).
% 233.17/43.10 fof(sdef85, definition, (spl85 <=> (vnoType = vsomeType(sk73(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 233.17/43.10 cnf(p5265, plain, (vnoType = vsomeType(sk73(sk75,sk74,vempty)) | ~spl85), inference(avatar_component_clause, [status(thm)], [sdef85])).
% 233.17/43.10 cnf(p5269, plain, ($false | ~spl85), inference(resolution, [status(thm)], [p5265, c34])).
% 233.17/43.10 cnf(sct9, plain, (~spl85), inference(avatar_contradiction_clause, [status(thm)], [p5269])).
% 233.17/43.10 fof(sdef38, definition, (spl38 <=> (sk66(sk75,sk74,vempty) = vvar(sk66(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 233.17/43.10 cnf(p4236, plain, (sk66(sk75,sk74,vempty) = vvar(sk66(sk75,sk74,vempty)) | ~spl38), inference(avatar_component_clause, [status(thm)], [sdef38])).
% 233.17/43.10 fof(sdef33, definition, (spl33 <=> (sk66(sk75,sk74,vempty) != vvar(sk66(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 233.17/43.10 cnf(p4227, plain, (sk66(sk75,sk74,vempty) != vvar(sk66(sk75,sk74,vempty)) | ~spl33), inference(avatar_component_clause, [status(thm)], [sdef33])).
% 233.17/43.10 cnf(p5486, plain, ($false | ~spl33 | ~spl38), inference(resolution, [status(thm)], [p4236, p4227])).
% 233.17/43.10 cnf(sct10, plain, (~spl33 | ~spl38), inference(avatar_contradiction_clause, [status(thm)], [p5486])).
% 233.17/43.10 fof(sdef19, definition, (spl19 <=> (sk66(vvar(sk75),sk74,vempty) = vvar(sk66(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 233.17/43.10 cnf(p3036, plain, (sk66(vvar(sk75),sk74,vempty) = vvar(sk66(vvar(sk75),sk74,vempty)) | ~spl19), inference(avatar_component_clause, [status(thm)], [sdef19])).
% 233.17/43.10 fof(sdef13, definition, (spl13 <=> (sk66(vvar(sk75),sk74,vempty) != vvar(sk66(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 233.17/43.10 cnf(p3026, plain, (sk66(vvar(sk75),sk74,vempty) != vvar(sk66(vvar(sk75),sk74,vempty)) | ~spl13), inference(avatar_component_clause, [status(thm)], [sdef13])).
% 233.17/43.10 cnf(p6873, plain, ($false | ~spl13 | ~spl19), inference(resolution, [status(thm)], [p3036, p3026])).
% 233.17/43.10 cnf(sct11, plain, (~spl13 | ~spl19), inference(avatar_contradiction_clause, [status(thm)], [p6873])).
% 233.17/43.10 fof(sdef10, definition, (spl10 <=> (vvar(sk75) = vapp(sk71(vvar(sk75),sk74,vempty),sk72(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 233.17/43.10 cnf(p2864, plain, (vvar(sk75) = vapp(sk71(vvar(sk75),sk74,vempty),sk72(vvar(sk75),sk74,vempty)) | ~spl10), inference(avatar_component_clause, [status(thm)], [sdef10])).
% 233.17/43.10 fof(f4, axiom, ! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd4)).
% 233.17/43.10 fof(f4_nnf, plain, ! [VVar0,VExp0,VExp1] : (vvar(VVar0) != vapp(VExp0,VExp1)), inference(nnf_transformation, [status(thm)], [f4])).
% 233.17/43.10 fof(f4_sk, plain, ! [VVar0,VExp0,VExp1] : (vvar(VVar0) != vapp(VExp0,VExp1)), inference(skolemisation, [status(esa)], [f4_nnf])).
% 233.17/43.10 cnf(c10, plain, vvar(X0) != vapp(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 233.17/43.10 cnf(p7246, plain, ($false | ~spl10), inference(resolution, [status(thm)], [p2864, c10])).
% 233.17/43.10 cnf(sct12, plain, (~spl10), inference(avatar_contradiction_clause, [status(thm)], [p7246])).
% 233.17/43.10 cnf(p6693, plain, (~visFreeVar(X0,sk66(vvar(sk75),sk74,vempty)) | sk66(vvar(sk75),sk74,vempty) = X0 | ~spl19), inference(resolution, [status(thm)], [p3036, p360])).
% 233.17/43.10 fof(sdef16, definition, (spl16 <=> (visFreeVar(vvar(sk75),sk66(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 233.17/43.10 cnf(p3031, plain, (visFreeVar(vvar(sk75),sk66(vvar(sk75),sk74,vempty)) | ~spl16), inference(avatar_component_clause, [status(thm)], [sdef16])).
% 233.17/43.10 cnf(p8117, plain, (sk66(vvar(sk75),sk74,vempty) = vvar(sk75) | ~spl16 | ~spl19), inference(resolution, [status(thm)], [p6693, p3031])).
% 233.17/43.10 fof(sdef11, definition, (spl11 <=> (sk66(vvar(sk75),sk74,vempty) != vvar(sk75))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 233.17/43.10 cnf(p3017, plain, (sk66(vvar(sk75),sk74,vempty) != vvar(sk75) | ~spl11), inference(avatar_component_clause, [status(thm)], [sdef11])).
% 233.17/43.10 cnf(p8121, plain, ($false | ~spl11 | ~spl16 | ~spl19), inference(resolution, [status(thm)], [p8117, p3017])).
% 233.17/43.10 cnf(sct13, plain, (~spl11 | ~spl16 | ~spl19), inference(avatar_contradiction_clause, [status(thm)], [p8121])).
% 233.17/43.10 cnf(c15, plain, X0 != X3 | X1 != vvar(X2) | X2 != X3 | visFreeVar(X0,X1), inference(cnf_transformation, [status(esa)], [f9_sk])).
% 233.17/43.10 cnf(p356, plain, X0 != vvar(X1) | X1 != X2 | visFreeVar(X2,X0), inference(equality_resolution, [status(thm)], [c15])).
% 233.17/43.10 cnf(p436, plain, X0 != X1 | visFreeVar(X1,vvar(X0)), inference(equality_resolution, [status(thm)], [p356])).
% 233.17/43.10 cnf(p8120, plain, (visFreeVar(vvar(sk75),vvar(sk75)) | ~spl16 | ~spl19), inference(resolution, [status(thm)], [p8117, p436])).
% 233.17/43.10 cnf(p8145, plain, ($false | ~spl16 | ~spl18 | ~spl19), inference(resolution, [status(thm)], [p8120, p3035])).
% 233.17/43.10 cnf(sct14, plain, (~spl16 | ~spl18 | ~spl19), inference(avatar_contradiction_clause, [status(thm)], [p8145])).
% 233.17/43.10 fof(sdef17, definition, (spl17 <=> (X0 != vvar(sk75) | visFreeVar(X0,sk66(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 233.17/43.10 cnf(p3033, plain, (X0 != vvar(sk75) | visFreeVar(X0,sk66(vvar(sk75),sk74,vempty)) | ~spl17), inference(avatar_component_clause, [status(thm)], [sdef17])).
% 233.17/43.10 cnf(p6527, plain, (visFreeVar(vvar(sk75),sk66(vvar(sk75),sk74,vempty)) | ~spl17), inference(equality_resolution, [status(thm)], [p3033])).
% 233.17/43.10 cnf(p8118, plain, (sk66(vvar(sk75),sk74,vempty) = vvar(sk75) | ~spl17 | ~spl19), inference(resolution, [status(thm)], [p6693, p6527])).
% 233.17/43.10 cnf(p8155, plain, (visFreeVar(vvar(sk75),vvar(sk75)) | ~spl17 | ~spl19), inference(resolution, [status(thm)], [p8118, p436])).
% 233.17/43.10 cnf(p8179, plain, ($false | ~spl17 | ~spl18 | ~spl19), inference(resolution, [status(thm)], [p8155, p3035])).
% 233.17/43.10 cnf(sct15, plain, (~spl17 | ~spl18 | ~spl19), inference(avatar_contradiction_clause, [status(thm)], [p8179])).
% 233.17/43.10 fof(sdef9, definition, (spl9 <=> (vvar(sk75) = vabs(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),sk68(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 233.17/43.10 cnf(p2863, plain, (vvar(sk75) = vabs(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),sk68(vvar(sk75),sk74,vempty)) | ~spl9), inference(avatar_component_clause, [status(thm)], [sdef9])).
% 233.17/43.10 fof(f3, axiom, ! [VVar0,VVar1,VTyp0,VExp0] : vvar(VVar0) != vabs(VVar1,VTyp0,VExp0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd3)).
% 233.17/43.10 fof(f3_nnf, plain, ! [VVar0,VVar1,VTyp0,VExp0] : (vvar(VVar0) != vabs(VVar1,VTyp0,VExp0)), inference(nnf_transformation, [status(thm)], [f3])).
% 233.17/43.10 fof(f3_sk, plain, ! [VVar0,VVar1,VTyp0,VExp0] : (vvar(VVar0) != vabs(VVar1,VTyp0,VExp0)), inference(skolemisation, [status(esa)], [f3_nnf])).
% 233.17/43.10 cnf(c9, plain, vvar(X0) != vabs(X1,X2,X3), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 233.17/43.10 cnf(p31372, plain, ($false | ~spl9), inference(resolution, [status(thm)], [p2863, c9])).
% 233.17/43.10 cnf(sct16, plain, (~spl9), inference(avatar_contradiction_clause, [status(thm)], [p31372])).
% 233.17/43.10 fof(f12, axiom, ( ( vempty = vempty => $true ) & ( $true => vempty = vempty ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd6)).
% 233.17/43.10 fof(f12_nnf, plain, ((vempty != vempty | $true) & (~($true) | vempty = vempty)), inference(nnf_transformation, [status(thm)], [f12])).
% 233.17/43.10 fof(f12_sk, plain, ((vempty != vempty | $true) & (~($true) | vempty = vempty)), inference(skolemisation, [status(esa)], [f12_nnf])).
% 233.17/43.10 cnf(c23, plain, vempty != vempty | $true, inference(cnf_transformation, [status(esa)], [f12_sk])).
% 233.17/43.10 cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [c23, sdef0, sdef1])).
% 233.17/43.10 cnf(c24, plain, ~$true | vempty = vempty, inference(cnf_transformation, [status(esa)], [f12_sk])).
% 233.17/43.10 fof(sdef3, definition, (spl3 <=> (vempty = vempty)), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 233.17/43.10 cnf(ssp1, plain, (spl2 | spl3), inference(avatar_split_clause, [status(thm)], [c24, sdef2, sdef3])).
% 233.17/43.10 fof(f14, axiom, ( ( vnoType = vnoType => $true ) & ( $true => vnoType = vnoType ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd8)).
% 233.17/43.10 fof(f14_nnf, plain, ((vnoType != vnoType | $true) & (~($true) | vnoType = vnoType)), inference(nnf_transformation, [status(thm)], [f14])).
% 233.17/43.10 fof(f14_sk, plain, ((vnoType != vnoType | $true) & (~($true) | vnoType = vnoType)), inference(skolemisation, [status(esa)], [f14_nnf])).
% 233.17/43.10 cnf(c29, plain, vnoType != vnoType | $true, inference(cnf_transformation, [status(esa)], [f14_sk])).
% 233.17/43.10 cnf(ssp2, plain, (spl1 | spl4), inference(avatar_split_clause, [status(thm)], [c29, sdef1, sdef4])).
% 233.17/43.10 cnf(c30, plain, ~$true | vnoType = vnoType, inference(cnf_transformation, [status(esa)], [f14_sk])).
% 233.17/43.10 fof(sdef5, definition, (spl5 <=> (vnoType = vnoType)), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 233.17/43.10 cnf(ssp3, plain, (spl2 | spl5), inference(avatar_split_clause, [status(thm)], [c30, sdef2, sdef5])).
% 233.17/43.10 fof(f35, axiom, ( ( vnoExp = vnoExp => $true ) & ( $true => vnoExp = vnoExp ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd17)).
% 233.17/43.10 fof(f35_nnf, plain, ((vnoExp != vnoExp | $true) & (~($true) | vnoExp = vnoExp)), inference(nnf_transformation, [status(thm)], [f35])).
% 233.17/43.10 fof(f35_sk, plain, ((vnoExp != vnoExp | $true) & (~($true) | vnoExp = vnoExp)), inference(skolemisation, [status(esa)], [f35_nnf])).
% 233.17/43.10 cnf(c195, plain, vnoExp != vnoExp | $true, inference(cnf_transformation, [status(esa)], [f35_sk])).
% 233.17/43.10 cnf(ssp4, plain, (spl1 | spl6), inference(avatar_split_clause, [status(thm)], [c195, sdef1, sdef6])).
% 233.17/43.10 cnf(c196, plain, ~$true | vnoExp = vnoExp, inference(cnf_transformation, [status(esa)], [f35_sk])).
% 233.17/43.10 fof(sdef7, definition, (spl7 <=> (vnoExp = vnoExp)), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 233.17/43.10 cnf(ssp5, plain, (spl2 | spl7), inference(avatar_split_clause, [status(thm)], [c196, sdef2, sdef7])).
% 233.17/43.10 fof(f53, axiom, ! [Ve,VT,VC] : ( vtcheck(VC,Ve,VT) => ( ? [Vx] : ( Ve = vvar(Vx) & vlookup(Vx,VC) = vsomeType(VT) ) | ? [Vx,Ve2,VT1,VT2] : ( Ve = vabs(Vx,VT1,Ve2) & VT = varrow(VT1,VT2) & vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) ) | ? [Ve1,Ve2,VS] : ( Ve = vapp(Ve1,Ve2) & vtcheck(VC,Ve1,varrow(VS,VT)) & vtcheck(VC,Ve2,VS) ) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd25)).
% 233.17/43.10 fof(f53_nnf, plain, ! [Ve,VT,VC] : ((~(vtcheck(VC,Ve,VT)) | ((? [Vx] : ((Ve = vvar(Vx) & vlookup(Vx,VC) = vsomeType(VT))) | ? [Vx,Ve2,VT1,VT2] : (((Ve = vabs(Vx,VT1,Ve2) & VT = varrow(VT1,VT2)) & vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)))) | ? [Ve1,Ve2,VS] : (((Ve = vapp(Ve1,Ve2) & vtcheck(VC,Ve1,varrow(VS,VT))) & vtcheck(VC,Ve2,VS)))))), inference(nnf_transformation, [status(thm)], [f53])).
% 233.17/43.10 fof(f53_sk, plain, ! [VC,Ve,VT] : ((~(vtcheck(VC,Ve,VT)) | (((Ve = vvar(sk66(Ve,VT,VC)) & vlookup(sk66(Ve,VT,VC),VC) = vsomeType(VT)) | ((Ve = vabs(sk67(Ve,VT,VC),sk69(Ve,VT,VC),sk68(Ve,VT,VC)) & VT = varrow(sk69(Ve,VT,VC),sk70(Ve,VT,VC))) & vtcheck(vbind(sk67(Ve,VT,VC),sk69(Ve,VT,VC),VC),sk68(Ve,VT,VC),sk70(Ve,VT,VC)))) | ((Ve = vapp(sk71(Ve,VT,VC),sk72(Ve,VT,VC)) & vtcheck(VC,sk71(Ve,VT,VC),varrow(sk73(Ve,VT,VC),VT))) & vtcheck(VC,sk72(Ve,VT,VC),sk73(Ve,VT,VC)))))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk66,sk67,sk68,sk69,sk70,sk71,sk72,sk73])], [f53_nnf])).
% 233.17/43.10 cnf(c301, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | X0 = vabs(sk67(X0,X1,X2),sk69(X0,X1,X2),sk68(X0,X1,X2)) | X0 = vapp(sk71(X0,X1,X2),sk72(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 fof(f56, conjecture, ! [VT,Vx] : ( ( vtcheck(vempty,vvar(Vx),VT) & ~ visValue(vvar(Vx)) ) => ? [Veout] : vreduce(vvar(Vx)) = vsomeExp(Veout) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd28)).
% 233.17/43.10 fof(f56_neg, negated_conjecture, ~(! [VT,Vx] : ( ( vtcheck(vempty,vvar(Vx),VT) & ~ visValue(vvar(Vx)) ) => ? [Veout] : vreduce(vvar(Vx)) = vsomeExp(Veout) )), inference(negated_conjecture, [status(cth)], [f56])).
% 233.17/43.10 fof(f56_nnf, plain, ? [VT,Vx] : (((vtcheck(vempty,vvar(Vx),VT) & ~(visValue(vvar(Vx)))) & ! [Veout] : (vreduce(vvar(Vx)) != vsomeExp(Veout)))), inference(nnf_transformation, [status(thm)], [f56_neg])).
% 233.17/43.10 fof(f56_sk, plain, ! [Veout] : (((vtcheck(vempty,vvar(sk75),sk74) & ~(visValue(vvar(sk75)))) & vreduce(vvar(sk75)) != vsomeExp(Veout))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk74,sk75])], [f56_nnf])).
% 233.17/43.10 cnf(c321, plain, vtcheck(vempty,vvar(sk75),sk74), inference(cnf_transformation, [status(esa)], [f56_sk])).
% 233.17/43.10 cnf(p2861, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | vvar(sk75) = vabs(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),sk68(vvar(sk75),sk74,vempty)) | vvar(sk75) = vapp(sk71(vvar(sk75),sk74,vempty),sk72(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c301, c321])).
% 233.17/43.10 fof(sdef8, definition, (spl8 <=> (vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 233.17/43.10 cnf(ssp6, plain, (spl8 | spl9 | spl10), inference(avatar_split_clause, [status(thm)], [p2861, sdef8, sdef9, sdef10])).
% 233.17/43.10 cnf(p2862, plain, (vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | ~spl8), inference(avatar_component_clause, [status(thm)], [sdef8])).
% 233.17/43.10 cnf(p435, plain, X0 != vvar(X0) | visFreeVar(vvar(X0),X0), inference(factoring, [status(thm)], [p356])).
% 233.17/43.10 cnf(p3016, plain, (sk66(vvar(sk75),sk74,vempty) != vvar(sk75) | visFreeVar(vvar(sk66(vvar(sk75),sk74,vempty)),sk66(vvar(sk75),sk74,vempty)) | ~spl8), inference(superposition, [status(thm)], [p2862, p435])).
% 233.17/43.10 fof(sdef12, definition, (spl12 <=> (visFreeVar(vvar(sk66(vvar(sk75),sk74,vempty)),sk66(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 233.17/43.10 cnf(ssp7, plain, (~spl8 | spl11 | spl12), inference(avatar_split_clause, [status(thm)], [p3016, sdef11, sdef12])).
% 233.17/43.10 cnf(p353, plain, X0 != vvar(X1) | X1 != vvar(X1) | visFreeVar(X0,X0), inference(factoring, [status(thm)], [c15])).
% 233.17/43.10 cnf(p3025, plain, (sk66(vvar(sk75),sk74,vempty) != vvar(sk66(vvar(sk75),sk74,vempty)) | visFreeVar(vvar(sk75),vvar(sk75)) | ~spl8), inference(resolution, [status(thm)], [p2862, p353])).
% 233.17/43.10 cnf(ssp8, plain, (~spl8 | spl13 | spl14), inference(avatar_split_clause, [status(thm)], [p3025, sdef13, sdef14])).
% 233.17/43.10 cnf(p3028, plain, (X0 != vvar(sk75) | sk66(vvar(sk75),sk74,vempty) != vvar(sk66(vvar(sk75),sk74,vempty)) | visFreeVar(X0,X0) | ~spl8), inference(superposition, [status(thm)], [p2862, p353])).
% 233.17/43.10 cnf(ssp9, plain, (~spl8 | spl13 | spl15), inference(avatar_split_clause, [status(thm)], [p3028, sdef13, sdef15])).
% 233.17/43.10 cnf(p355, plain, X0 != vvar(X1) | X1 != vvar(X1) | visFreeVar(X0,X1), inference(factoring, [status(thm)], [c15])).
% 233.17/43.10 cnf(p3030, plain, (sk66(vvar(sk75),sk74,vempty) != vvar(sk66(vvar(sk75),sk74,vempty)) | visFreeVar(vvar(sk75),sk66(vvar(sk75),sk74,vempty)) | ~spl8), inference(resolution, [status(thm)], [p2862, p355])).
% 233.17/43.10 cnf(ssp10, plain, (~spl8 | spl13 | spl16), inference(avatar_split_clause, [status(thm)], [p3030, sdef13, sdef16])).
% 233.17/43.10 cnf(p3032, plain, (X0 != vvar(sk75) | sk66(vvar(sk75),sk74,vempty) != vvar(sk66(vvar(sk75),sk74,vempty)) | visFreeVar(X0,sk66(vvar(sk75),sk74,vempty)) | ~spl8), inference(superposition, [status(thm)], [p2862, p355])).
% 233.17/43.10 cnf(ssp11, plain, (~spl8 | spl13 | spl17), inference(avatar_split_clause, [status(thm)], [p3032, sdef13, sdef17])).
% 233.17/43.10 cnf(p359, plain, X0 != vvar(X1) | ~visFreeVar(X0,X0) | X1 = vvar(X1), inference(factoring, [status(thm)], [c16])).
% 233.17/43.10 cnf(p3034, plain, (~visFreeVar(vvar(sk75),vvar(sk75)) | sk66(vvar(sk75),sk74,vempty) = vvar(sk66(vvar(sk75),sk74,vempty)) | ~spl8), inference(resolution, [status(thm)], [p2862, p359])).
% 233.17/43.10 cnf(ssp12, plain, (~spl8 | spl18 | spl19), inference(avatar_split_clause, [status(thm)], [p3034, sdef18, sdef19])).
% 233.17/43.10 cnf(p3037, plain, (X0 != vvar(sk75) | ~visFreeVar(X0,X0) | sk66(vvar(sk75),sk74,vempty) = vvar(sk66(vvar(sk75),sk74,vempty)) | ~spl8), inference(superposition, [status(thm)], [p2862, p359])).
% 233.17/43.10 fof(sdef20, definition, (spl20 <=> (X0 != vvar(sk75) | ~visFreeVar(X0,X0))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 233.17/43.10 cnf(ssp13, plain, (~spl8 | spl19 | spl20), inference(avatar_split_clause, [status(thm)], [p3037, sdef19, sdef20])).
% 233.17/43.10 cnf(p3253, plain, (X0 != sk75 | sk75 != vvar(sk75) | visFreeVar(X0,X0) | ~spl14), inference(superposition, [status(thm)], [p3209, p353])).
% 233.17/43.10 cnf(ssp14, plain, (~spl14 | spl21 | spl22), inference(avatar_split_clause, [status(thm)], [p3253, sdef21, sdef22])).
% 233.17/43.10 cnf(c302, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | X0 = vabs(sk67(X0,X1,X2),sk69(X0,X1,X2),sk68(X0,X1,X2)) | vtcheck(X2,sk71(X0,X1,X2),varrow(sk73(X0,X1,X2),X1)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p3780, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | vvar(sk75) = vabs(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),sk68(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk71(vvar(sk75),sk74,vempty),varrow(sk73(vvar(sk75),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c302, c321])).
% 233.17/43.10 fof(sdef23, definition, (spl23 <=> (vtcheck(vempty,sk71(vvar(sk75),sk74,vempty),varrow(sk73(vvar(sk75),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 233.17/43.10 cnf(ssp15, plain, (spl8 | spl9 | spl23), inference(avatar_split_clause, [status(thm)], [p3780, sdef8, sdef9, sdef23])).
% 233.17/43.10 cnf(p3215, plain, (vtcheck(vempty,sk75,sk74) | ~spl14), inference(superposition, [status(thm)], [p3209, c321])).
% 233.17/43.10 cnf(p3906, plain, (sk75 = vvar(sk66(sk75,sk74,vempty)) | sk75 = vabs(sk67(sk75,sk74,vempty),sk69(sk75,sk74,vempty),sk68(sk75,sk74,vempty)) | sk75 = vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)) | ~spl14), inference(resolution, [status(thm)], [p3215, c301])).
% 233.17/43.10 fof(sdef24, definition, (spl24 <=> (sk75 = vvar(sk66(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 233.17/43.10 fof(sdef25, definition, (spl25 <=> (sk75 = vabs(sk67(sk75,sk74,vempty),sk69(sk75,sk74,vempty),sk68(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 233.17/43.10 fof(sdef26, definition, (spl26 <=> (sk75 = vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 233.17/43.10 cnf(ssp16, plain, (~spl14 | spl24 | spl25 | spl26), inference(avatar_split_clause, [status(thm)], [p3906, sdef24, sdef25, sdef26])).
% 233.17/43.10 cnf(p3910, plain, (sk75 = vvar(sk66(sk75,sk74,vempty)) | sk75 = vabs(sk67(sk75,sk74,vempty),sk69(sk75,sk74,vempty),sk68(sk75,sk74,vempty)) | vtcheck(vempty,sk71(sk75,sk74,vempty),varrow(sk73(sk75,sk74,vempty),sk74)) | ~spl14), inference(resolution, [status(thm)], [p3215, c302])).
% 233.17/43.10 fof(sdef27, definition, (spl27 <=> (vtcheck(vempty,sk71(sk75,sk74,vempty),varrow(sk73(sk75,sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 233.17/43.10 cnf(ssp17, plain, (~spl14 | spl24 | spl25 | spl27), inference(avatar_split_clause, [status(thm)], [p3910, sdef24, sdef25, sdef27])).
% 233.17/43.10 cnf(c303, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | X0 = vabs(sk67(X0,X1,X2),sk69(X0,X1,X2),sk68(X0,X1,X2)) | vtcheck(X2,sk72(X0,X1,X2),sk73(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p3916, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | vvar(sk75) = vabs(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),sk68(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk72(vvar(sk75),sk74,vempty),sk73(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c303, c321])).
% 233.17/43.10 fof(sdef28, definition, (spl28 <=> (vtcheck(vempty,sk72(vvar(sk75),sk74,vempty),sk73(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 233.17/43.10 cnf(ssp18, plain, (spl8 | spl9 | spl28), inference(avatar_split_clause, [status(thm)], [p3916, sdef8, sdef9, sdef28])).
% 233.17/43.10 cnf(p4042, plain, (sk75 = vvar(sk66(sk75,sk74,vempty)) | sk75 = vabs(sk67(sk75,sk74,vempty),sk69(sk75,sk74,vempty),sk68(sk75,sk74,vempty)) | vtcheck(vempty,sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty)) | ~spl14), inference(resolution, [status(thm)], [c303, p3215])).
% 233.17/43.10 fof(sdef29, definition, (spl29 <=> (vtcheck(vempty,sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 233.17/43.10 cnf(ssp19, plain, (~spl14 | spl24 | spl25 | spl29), inference(avatar_split_clause, [status(thm)], [p4042, sdef24, sdef25, sdef29])).
% 233.17/43.10 cnf(c304, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | X1 = varrow(sk69(X0,X1,X2),sk70(X0,X1,X2)) | X0 = vapp(sk71(X0,X1,X2),sk72(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p4053, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | sk74 = varrow(sk69(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vvar(sk75) = vapp(sk71(vvar(sk75),sk74,vempty),sk72(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c304, c321])).
% 233.17/43.10 fof(sdef30, definition, (spl30 <=> (sk74 = varrow(sk69(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 233.17/43.10 cnf(ssp20, plain, (spl8 | spl10 | spl30), inference(avatar_split_clause, [status(thm)], [p4053, sdef8, sdef10, sdef30])).
% 233.17/43.10 cnf(p3907, plain, (sk75 = vvar(sk66(sk75,sk74,vempty)) | ~spl24), inference(avatar_component_clause, [status(thm)], [sdef24])).
% 233.17/43.10 cnf(p4213, plain, (sk66(sk75,sk74,vempty) != sk75 | visFreeVar(vvar(sk66(sk75,sk74,vempty)),sk66(sk75,sk74,vempty)) | ~spl24), inference(superposition, [status(thm)], [p3907, p435])).
% 233.17/43.10 fof(sdef31, definition, (spl31 <=> (sk66(sk75,sk74,vempty) != sk75)), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 233.17/43.10 fof(sdef32, definition, (spl32 <=> (visFreeVar(vvar(sk66(sk75,sk74,vempty)),sk66(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 233.17/43.10 cnf(ssp21, plain, (~spl24 | spl31 | spl32), inference(avatar_split_clause, [status(thm)], [p4213, sdef31, sdef32])).
% 233.17/43.10 cnf(p4226, plain, (sk66(sk75,sk74,vempty) != vvar(sk66(sk75,sk74,vempty)) | visFreeVar(sk75,sk75) | ~spl24), inference(resolution, [status(thm)], [p3907, p353])).
% 233.17/43.10 cnf(ssp22, plain, (~spl24 | spl33 | spl34), inference(avatar_split_clause, [status(thm)], [p4226, sdef33, sdef34])).
% 233.17/43.10 cnf(p4229, plain, (X0 != sk75 | sk66(sk75,sk74,vempty) != vvar(sk66(sk75,sk74,vempty)) | visFreeVar(X0,X0) | ~spl24), inference(superposition, [status(thm)], [p3907, p353])).
% 233.17/43.10 cnf(ssp23, plain, (~spl24 | spl21 | spl33), inference(avatar_split_clause, [status(thm)], [p4229, sdef21, sdef33])).
% 233.17/43.10 cnf(p4230, plain, (sk66(sk75,sk74,vempty) != vvar(sk66(sk75,sk74,vempty)) | visFreeVar(sk75,sk66(sk75,sk74,vempty)) | ~spl24), inference(resolution, [status(thm)], [p3907, p355])).
% 233.17/43.10 fof(sdef35, definition, (spl35 <=> (visFreeVar(sk75,sk66(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 233.17/43.10 cnf(ssp24, plain, (~spl24 | spl33 | spl35), inference(avatar_split_clause, [status(thm)], [p4230, sdef33, sdef35])).
% 233.17/43.10 cnf(p4232, plain, (X0 != sk75 | sk66(sk75,sk74,vempty) != vvar(sk66(sk75,sk74,vempty)) | visFreeVar(X0,sk66(sk75,sk74,vempty)) | ~spl24), inference(superposition, [status(thm)], [p3907, p355])).
% 233.17/43.10 fof(sdef36, definition, (spl36 <=> (X0 != sk75 | visFreeVar(X0,sk66(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 233.17/43.10 cnf(ssp25, plain, (~spl24 | spl33 | spl36), inference(avatar_split_clause, [status(thm)], [p4232, sdef33, sdef36])).
% 233.17/43.10 cnf(p4234, plain, (~visFreeVar(sk75,sk75) | sk66(sk75,sk74,vempty) = vvar(sk66(sk75,sk74,vempty)) | ~spl24), inference(resolution, [status(thm)], [p3907, p359])).
% 233.17/43.10 cnf(ssp26, plain, (~spl24 | spl37 | spl38), inference(avatar_split_clause, [status(thm)], [p4234, sdef37, sdef38])).
% 233.17/43.10 cnf(p4237, plain, (X0 != sk75 | ~visFreeVar(X0,X0) | sk66(sk75,sk74,vempty) = vvar(sk66(sk75,sk74,vempty)) | ~spl24), inference(superposition, [status(thm)], [p3907, p359])).
% 233.17/43.10 fof(sdef39, definition, (spl39 <=> (X0 != sk75 | ~visFreeVar(X0,X0))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 233.17/43.10 cnf(ssp27, plain, (~spl24 | spl38 | spl39), inference(avatar_split_clause, [status(thm)], [p4237, sdef38, sdef39])).
% 233.17/43.10 cnf(c305, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | X1 = varrow(sk69(X0,X1,X2),sk70(X0,X1,X2)) | vtcheck(X2,sk71(X0,X1,X2),varrow(sk73(X0,X1,X2),X1)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p4412, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | sk74 = varrow(sk69(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk71(vvar(sk75),sk74,vempty),varrow(sk73(vvar(sk75),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c305, c321])).
% 233.17/43.10 cnf(ssp28, plain, (spl8 | spl23 | spl30), inference(avatar_split_clause, [status(thm)], [p4412, sdef8, sdef23, sdef30])).
% 233.17/43.10 cnf(c306, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | X1 = varrow(sk69(X0,X1,X2),sk70(X0,X1,X2)) | vtcheck(X2,sk72(X0,X1,X2),sk73(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p4545, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | sk74 = varrow(sk69(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk72(vvar(sk75),sk74,vempty),sk73(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c306, c321])).
% 233.17/43.10 cnf(ssp29, plain, (spl8 | spl28 | spl30), inference(avatar_split_clause, [status(thm)], [p4545, sdef8, sdef28, sdef30])).
% 233.17/43.10 cnf(c307, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | vtcheck(vbind(sk67(X0,X1,X2),sk69(X0,X1,X2),X2),sk68(X0,X1,X2),sk70(X0,X1,X2)) | X0 = vapp(sk71(X0,X1,X2),sk72(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p4673, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | vtcheck(vbind(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),vempty),sk68(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vvar(sk75) = vapp(sk71(vvar(sk75),sk74,vempty),sk72(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c307, c321])).
% 233.17/43.10 fof(sdef40, definition, (spl40 <=> (vtcheck(vbind(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),vempty),sk68(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 233.17/43.10 cnf(ssp30, plain, (spl8 | spl10 | spl40), inference(avatar_split_clause, [status(thm)], [p4673, sdef8, sdef10, sdef40])).
% 233.17/43.10 cnf(c308, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | vtcheck(vbind(sk67(X0,X1,X2),sk69(X0,X1,X2),X2),sk68(X0,X1,X2),sk70(X0,X1,X2)) | vtcheck(X2,sk71(X0,X1,X2),varrow(sk73(X0,X1,X2),X1)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p4806, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | vtcheck(vbind(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),vempty),sk68(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk71(vvar(sk75),sk74,vempty),varrow(sk73(vvar(sk75),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c308, c321])).
% 233.17/43.10 cnf(ssp31, plain, (spl8 | spl23 | spl40), inference(avatar_split_clause, [status(thm)], [p4806, sdef8, sdef23, sdef40])).
% 233.17/43.10 cnf(p4043, plain, (vtcheck(vempty,sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty)) | ~spl29), inference(avatar_component_clause, [status(thm)], [sdef29])).
% 233.17/43.10 cnf(p4953, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk72(sk75,sk74,vempty) = vabs(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk72(sk75,sk74,vempty) = vapp(sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | ~spl29), inference(resolution, [status(thm)], [p4043, c301])).
% 233.17/43.10 fof(sdef41, definition, (spl41 <=> (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 233.17/43.10 fof(sdef42, definition, (spl42 <=> (sk72(sk75,sk74,vempty) = vabs(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 233.17/43.10 fof(sdef43, definition, (spl43 <=> (sk72(sk75,sk74,vempty) = vapp(sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 233.17/43.10 cnf(ssp32, plain, (~spl29 | spl41 | spl42 | spl43), inference(avatar_split_clause, [status(thm)], [p4953, sdef41, sdef42, sdef43])).
% 233.17/43.10 cnf(p4957, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk72(sk75,sk74,vempty) = vabs(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vempty,sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),varrow(sk73(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk73(sk75,sk74,vempty))) | ~spl29), inference(resolution, [status(thm)], [p4043, c302])).
% 233.17/43.10 fof(sdef44, definition, (spl44 <=> (vtcheck(vempty,sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),varrow(sk73(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk73(sk75,sk74,vempty))))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 233.17/43.10 cnf(ssp33, plain, (~spl29 | spl41 | spl42 | spl44), inference(avatar_split_clause, [status(thm)], [p4957, sdef41, sdef42, sdef44])).
% 233.17/43.10 cnf(p4959, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk72(sk75,sk74,vempty) = vabs(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vempty,sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk73(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | ~spl29), inference(resolution, [status(thm)], [p4043, c303])).
% 233.17/43.10 fof(sdef45, definition, (spl45 <=> (vtcheck(vempty,sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk73(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 233.17/43.10 cnf(ssp34, plain, (~spl29 | spl41 | spl42 | spl45), inference(avatar_split_clause, [status(thm)], [p4959, sdef41, sdef42, sdef45])).
% 233.17/43.10 cnf(p4961, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk73(sk75,sk74,vempty) = varrow(sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk70(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk72(sk75,sk74,vempty) = vapp(sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | ~spl29), inference(resolution, [status(thm)], [p4043, c304])).
% 233.17/43.10 fof(sdef46, definition, (spl46 <=> (sk73(sk75,sk74,vempty) = varrow(sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk70(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 233.17/43.10 cnf(ssp35, plain, (~spl29 | spl41 | spl43 | spl46), inference(avatar_split_clause, [status(thm)], [p4961, sdef41, sdef43, sdef46])).
% 233.17/43.10 cnf(p4963, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk73(sk75,sk74,vempty) = varrow(sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk70(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vempty,sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),varrow(sk73(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk73(sk75,sk74,vempty))) | ~spl29), inference(resolution, [status(thm)], [p4043, c305])).
% 233.17/43.10 cnf(ssp36, plain, (~spl29 | spl41 | spl44 | spl46), inference(avatar_split_clause, [status(thm)], [p4963, sdef41, sdef44, sdef46])).
% 233.17/43.10 cnf(p4964, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk73(sk75,sk74,vempty) = varrow(sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk70(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vempty,sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk73(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | ~spl29), inference(resolution, [status(thm)], [p4043, c306])).
% 233.17/43.10 cnf(ssp37, plain, (~spl29 | spl41 | spl45 | spl46), inference(avatar_split_clause, [status(thm)], [p4964, sdef41, sdef45, sdef46])).
% 233.17/43.10 cnf(p4965, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vbind(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk70(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk72(sk75,sk74,vempty) = vapp(sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | ~spl29), inference(resolution, [status(thm)], [p4043, c307])).
% 233.17/43.10 fof(sdef47, definition, (spl47 <=> (vtcheck(vbind(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk70(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 233.17/43.10 cnf(ssp38, plain, (~spl29 | spl41 | spl43 | spl47), inference(avatar_split_clause, [status(thm)], [p4965, sdef41, sdef43, sdef47])).
% 233.17/43.10 cnf(p4967, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vbind(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk70(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vempty,sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),varrow(sk73(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk73(sk75,sk74,vempty))) | ~spl29), inference(resolution, [status(thm)], [p4043, c308])).
% 233.17/43.10 cnf(ssp39, plain, (~spl29 | spl41 | spl44 | spl47), inference(avatar_split_clause, [status(thm)], [p4967, sdef41, sdef44, sdef47])).
% 233.17/43.10 cnf(c309, plain, ~vtcheck(X2,X0,X1) | X0 = vvar(sk66(X0,X1,X2)) | vtcheck(vbind(sk67(X0,X1,X2),sk69(X0,X1,X2),X2),sk68(X0,X1,X2),sk70(X0,X1,X2)) | vtcheck(X2,sk72(X0,X1,X2),sk73(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p4970, plain, vvar(sk75) = vvar(sk66(vvar(sk75),sk74,vempty)) | vtcheck(vbind(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),vempty),sk68(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk72(vvar(sk75),sk74,vempty),sk73(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c309, c321])).
% 233.17/43.10 cnf(ssp40, plain, (spl8 | spl28 | spl40), inference(avatar_split_clause, [status(thm)], [p4970, sdef8, sdef28, sdef40])).
% 233.17/43.10 cnf(p5095, plain, (sk72(sk75,sk74,vempty) = vvar(sk66(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vbind(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk70(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | vtcheck(vempty,sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk73(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | ~spl29), inference(resolution, [status(thm)], [c309, p4043])).
% 233.17/43.10 cnf(ssp41, plain, (~spl29 | spl41 | spl45 | spl47), inference(avatar_split_clause, [status(thm)], [p5095, sdef41, sdef45, sdef47])).
% 233.17/43.10 cnf(c310, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | X0 = vabs(sk67(X0,X1,X2),sk69(X0,X1,X2),sk68(X0,X1,X2)) | X0 = vapp(sk71(X0,X1,X2),sk72(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p5102, plain, vnoType = vsomeType(sk74) | vvar(sk75) = vabs(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),sk68(vvar(sk75),sk74,vempty)) | vvar(sk75) = vapp(sk71(vvar(sk75),sk74,vempty),sk72(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c310, c321])).
% 233.17/43.10 cnf(ssp42, plain, (spl9 | spl10 | spl48), inference(avatar_split_clause, [status(thm)], [p5102, sdef9, sdef10, sdef48])).
% 233.17/43.10 fof(f54, axiom, ! [Vx,VS,VC,Ve,VT] : ( ( vlookup(Vx,VC) = vnoType & vtcheck(VC,Ve,VT) ) => vtcheck(vbind(Vx,VS,VC),Ve,VT) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd26)).
% 233.17/43.10 fof(f54_nnf, plain, ! [Vx,VS,VC,Ve,VT] : (((vlookup(Vx,VC) != vnoType | ~(vtcheck(VC,Ve,VT))) | vtcheck(vbind(Vx,VS,VC),Ve,VT))), inference(nnf_transformation, [status(thm)], [f54])).
% 233.17/43.10 fof(f54_sk, plain, ! [Vx,VC,Ve,VT,VS] : (((vlookup(Vx,VC) != vnoType | ~(vtcheck(VC,Ve,VT))) | vtcheck(vbind(Vx,VS,VC),Ve,VT))), inference(skolemisation, [status(esa)], [f54_nnf])).
% 233.17/43.10 cnf(c319, plain, vlookup(X0,X2) != vnoType | ~vtcheck(X2,X3,X4) | vtcheck(vbind(X0,X1,X2),X3,X4), inference(cnf_transformation, [status(esa)], [f54_sk])).
% 233.17/43.10 fof(f21, axiom, ! [Vx,VVar0,VCtx0,RESULT] : ( ( VVar0 = Vx & VCtx0 = vempty ) => ( RESULT = vlookup(VVar0,VCtx0) => RESULT = vnoType ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lookup0)).
% 233.17/43.10 fof(f21_nnf, plain, ! [Vx,VVar0,VCtx0,RESULT] : (((VVar0 != Vx | VCtx0 != vempty) | (RESULT != vlookup(VVar0,VCtx0) | RESULT = vnoType))), inference(nnf_transformation, [status(thm)], [f21])).
% 233.17/43.10 fof(f21_sk, plain, ! [VVar0,Vx,VCtx0,RESULT] : (((VVar0 != Vx | VCtx0 != vempty) | (RESULT != vlookup(VVar0,VCtx0) | RESULT = vnoType))), inference(skolemisation, [status(esa)], [f21_nnf])).
% 233.17/43.10 cnf(c38, plain, X1 != X0 | X2 != vempty | X3 != vlookup(X1,X2) | X3 = vnoType, inference(cnf_transformation, [status(esa)], [f21_sk])).
% 233.17/43.10 cnf(p396, plain, X0 != vempty | X1 != vlookup(X2,X0) | X1 = vnoType, inference(equality_resolution, [status(thm)], [c38])).
% 233.17/43.10 cnf(p608, plain, X0 != vlookup(X1,vempty) | X0 = vnoType, inference(equality_resolution, [status(thm)], [p396])).
% 233.17/43.10 cnf(p612, plain, vlookup(X0,vempty) = vnoType, inference(equality_resolution, [status(thm)], [p608])).
% 233.17/43.10 cnf(p1093, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vbind(X2,X3,vempty),X0,X1), inference(resolution, [status(thm)], [c319, p612])).
% 233.17/43.10 cnf(p1094, plain, vtcheck(vbind(X0,X1,vempty),vvar(sk75),sk74), inference(resolution, [status(thm)], [p1093, c321])).
% 233.17/43.10 fof(f51, axiom, ! [VC,Vx,Ve,VS,VT] : ( vtcheck(vbind(Vx,VS,VC),Ve,VT) => vtcheck(VC,vabs(Vx,VS,Ve),varrow(VS,VT)) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd23)).
% 233.17/43.10 fof(f51_nnf, plain, ! [VC,Vx,Ve,VS,VT] : ((~(vtcheck(vbind(Vx,VS,VC),Ve,VT)) | vtcheck(VC,vabs(Vx,VS,Ve),varrow(VS,VT)))), inference(nnf_transformation, [status(thm)], [f51])).
% 233.17/43.10 fof(f51_sk, plain, ! [Vx,VS,VC,Ve,VT] : ((~(vtcheck(vbind(Vx,VS,VC),Ve,VT)) | vtcheck(VC,vabs(Vx,VS,Ve),varrow(VS,VT)))), inference(skolemisation, [status(esa)], [f51_nnf])).
% 233.17/43.10 cnf(c299, plain, ~vtcheck(vbind(X1,X3,X0),X2,X4) | vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4)), inference(cnf_transformation, [status(esa)], [f51_sk])).
% 233.17/43.10 cnf(p1095, plain, vtcheck(vempty,vabs(X0,X1,vvar(sk75)),varrow(X1,sk74)), inference(resolution, [status(thm)], [p1094, c299])).
% 233.17/43.10 fof(f52, axiom, ! [VS,VC,Ve1,Ve2,VT] : ( ( vtcheck(VC,Ve1,varrow(VS,VT)) & vtcheck(VC,Ve2,VS) ) => vtcheck(VC,vapp(Ve1,Ve2),VT) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', qtd24)).
% 233.17/43.10 fof(f52_nnf, plain, ! [VS,VC,Ve1,Ve2,VT] : (((~(vtcheck(VC,Ve1,varrow(VS,VT))) | ~(vtcheck(VC,Ve2,VS))) | vtcheck(VC,vapp(Ve1,Ve2),VT))), inference(nnf_transformation, [status(thm)], [f52])).
% 233.17/43.10 fof(f52_sk, plain, ! [VC,Ve1,VS,VT,Ve2] : (((~(vtcheck(VC,Ve1,varrow(VS,VT))) | ~(vtcheck(VC,Ve2,VS))) | vtcheck(VC,vapp(Ve1,Ve2),VT))), inference(skolemisation, [status(esa)], [f52_nnf])).
% 233.17/43.10 cnf(c300, plain, ~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0) | vtcheck(X1,vapp(X2,X3),X4), inference(cnf_transformation, [status(esa)], [f52_sk])).
% 233.17/43.10 cnf(p1096, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vvar(sk75)),X0),sk74), inference(resolution, [status(thm)], [p1095, c300])).
% 233.17/43.10 cnf(p1100, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1096, c321])).
% 233.17/43.10 cnf(p5107, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1100])).
% 233.17/43.10 fof(sdef49, definition, (spl49 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 233.17/43.10 cnf(ssp43, plain, (spl48 | spl49), inference(avatar_split_clause, [status(thm)], [p5107, sdef48, sdef49])).
% 233.17/43.10 cnf(p1101, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1096, p1095])).
% 233.17/43.10 cnf(p5111, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1101])).
% 233.17/43.10 fof(sdef50, definition, (spl50 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 233.17/43.10 cnf(ssp44, plain, (spl48 | spl50), inference(avatar_split_clause, [status(thm)], [p5111, sdef48, sdef50])).
% 233.17/43.10 cnf(p1103, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1100, p1096])).
% 233.17/43.10 cnf(p5114, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1103])).
% 233.17/43.10 fof(sdef51, definition, (spl51 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 233.17/43.10 cnf(ssp45, plain, (spl48 | spl51), inference(avatar_split_clause, [status(thm)], [p5114, sdef48, sdef51])).
% 233.17/43.10 cnf(p1097, plain, vtcheck(vbind(X0,X1,vempty),vabs(X2,X3,vvar(sk75)),varrow(X3,sk74)), inference(resolution, [status(thm)], [p1095, p1093])).
% 233.17/43.10 cnf(p1098, plain, vtcheck(vempty,vabs(X0,X1,vabs(X2,X3,vvar(sk75))),varrow(X1,varrow(X3,sk74))), inference(resolution, [status(thm)], [p1097, c299])).
% 233.17/43.10 cnf(p1107, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74), inference(resolution, [status(thm)], [p1098, p1096])).
% 233.17/43.10 cnf(p5123, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1107])).
% 233.17/43.10 fof(sdef52, definition, (spl52 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 233.17/43.10 cnf(ssp46, plain, (spl48 | spl52), inference(avatar_split_clause, [status(thm)], [p5123, sdef48, sdef52])).
% 233.17/43.10 cnf(p1102, plain, vtcheck(vbind(X0,X1,vempty),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1100, p1093])).
% 233.17/43.10 cnf(p1104, plain, vtcheck(vempty,vabs(X0,X1,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),varrow(X1,sk74)), inference(resolution, [status(thm)], [p1102, c299])).
% 233.17/43.10 cnf(p1110, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),X0),sk74), inference(resolution, [status(thm)], [p1104, c300])).
% 233.17/43.10 cnf(p1145, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1110, c321])).
% 233.17/43.10 cnf(p5125, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1145])).
% 233.17/43.10 fof(sdef53, definition, (spl53 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 233.17/43.10 cnf(ssp47, plain, (spl48 | spl53), inference(avatar_split_clause, [status(thm)], [p5125, sdef48, sdef53])).
% 233.17/43.10 cnf(p1105, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vabs(X3,X4,vvar(sk75))),X0),varrow(X4,sk74)), inference(resolution, [status(thm)], [p1098, c300])).
% 233.17/43.10 cnf(p1120, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vabs(X1,X2,vvar(sk75))),vvar(sk75)),varrow(X2,sk74)), inference(resolution, [status(thm)], [p1105, c321])).
% 233.17/43.10 cnf(p1127, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75)),X0),sk74), inference(resolution, [status(thm)], [p1120, c300])).
% 233.17/43.10 cnf(p1176, plain, vtcheck(vempty,vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1127, c321])).
% 233.17/43.10 cnf(p5131, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1176])).
% 233.17/43.10 fof(sdef54, definition, (spl54 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 233.17/43.10 cnf(ssp48, plain, (spl48 | spl54), inference(avatar_split_clause, [status(thm)], [p5131, sdef48, sdef54])).
% 233.17/43.10 cnf(p1109, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74), inference(resolution, [status(thm)], [p1101, p1096])).
% 233.17/43.10 cnf(p5135, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1109])).
% 233.17/43.10 fof(sdef55, definition, (spl55 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 233.17/43.10 cnf(ssp49, plain, (spl48 | spl55), inference(avatar_split_clause, [status(thm)], [p5135, sdef48, sdef55])).
% 233.17/43.10 cnf(p1112, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74), inference(resolution, [status(thm)], [p1104, p1096])).
% 233.17/43.10 cnf(p5137, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1112])).
% 233.17/43.10 fof(sdef56, definition, (spl56 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 233.17/43.10 cnf(ssp50, plain, (spl48 | spl56), inference(avatar_split_clause, [status(thm)], [p5137, sdef48, sdef56])).
% 233.17/43.10 cnf(p1129, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1120, p1096])).
% 233.17/43.10 cnf(p5140, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1129])).
% 233.17/43.10 fof(sdef57, definition, (spl57 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 233.17/43.10 cnf(ssp51, plain, (spl48 | spl57), inference(avatar_split_clause, [status(thm)], [p5140, sdef48, sdef57])).
% 233.17/43.10 cnf(p1146, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1110, p1095])).
% 233.17/43.10 cnf(p5143, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1146])).
% 233.17/43.10 fof(sdef58, definition, (spl58 <=> (vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 233.17/43.10 cnf(ssp52, plain, (spl48 | spl58), inference(avatar_split_clause, [status(thm)], [p5143, sdef48, sdef58])).
% 233.17/43.10 cnf(p1177, plain, vtcheck(vempty,vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1127, p1095])).
% 233.17/43.10 cnf(p5146, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1177])).
% 233.17/43.10 fof(sdef59, definition, (spl59 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 233.17/43.10 cnf(ssp53, plain, (spl48 | spl59), inference(avatar_split_clause, [status(thm)], [p5146, sdef48, sdef59])).
% 233.17/43.10 cnf(p1114, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74), inference(resolution, [status(thm)], [p1103, p1096])).
% 233.17/43.10 cnf(p5149, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1114])).
% 233.17/43.10 fof(sdef60, definition, (spl60 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 233.17/43.10 cnf(ssp54, plain, (spl48 | spl60), inference(avatar_split_clause, [status(thm)], [p5149, sdef48, sdef60])).
% 233.17/43.10 cnf(p1147, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1110, p1100])).
% 233.17/43.10 cnf(p5152, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1147])).
% 233.17/43.10 fof(sdef61, definition, (spl61 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 233.17/43.10 cnf(ssp55, plain, (spl48 | spl61), inference(avatar_split_clause, [status(thm)], [p5152, sdef48, sdef61])).
% 233.17/43.10 cnf(p1156, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1145, p1096])).
% 233.17/43.10 cnf(p5154, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1156])).
% 233.17/43.10 fof(sdef62, definition, (spl62 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 233.17/43.10 cnf(ssp56, plain, (spl48 | spl62), inference(avatar_split_clause, [status(thm)], [p5154, sdef48, sdef62])).
% 233.17/43.10 cnf(p1178, plain, vtcheck(vempty,vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1127, p1100])).
% 233.17/43.10 cnf(p5156, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1178])).
% 233.17/43.10 fof(sdef63, definition, (spl63 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 233.17/43.10 cnf(ssp57, plain, (spl48 | spl63), inference(avatar_split_clause, [status(thm)], [p5156, sdef48, sdef63])).
% 233.17/43.10 cnf(p1191, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1176, p1096])).
% 233.17/43.10 cnf(p5158, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1191])).
% 233.17/43.10 fof(sdef64, definition, (spl64 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 233.17/43.10 cnf(ssp58, plain, (spl48 | spl64), inference(avatar_split_clause, [status(thm)], [p5158, sdef48, sdef64])).
% 233.17/43.10 cnf(p1106, plain, vtcheck(vbind(X0,X1,vempty),vabs(X2,X3,vabs(X4,X5,vvar(sk75))),varrow(X3,varrow(X5,sk74))), inference(resolution, [status(thm)], [p1098, p1093])).
% 233.17/43.10 cnf(p1115, plain, vtcheck(vempty,vabs(X0,X1,vabs(X2,X3,vabs(X4,X5,vvar(sk75)))),varrow(X1,varrow(X3,varrow(X5,sk74)))), inference(resolution, [status(thm)], [p1106, c299])).
% 233.17/43.10 cnf(p1136, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74), inference(resolution, [status(thm)], [p1115, p1096])).
% 233.17/43.10 cnf(p5178, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1136])).
% 233.17/43.10 fof(sdef65, definition, (spl65 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 233.17/43.10 cnf(ssp59, plain, (spl48 | spl65), inference(avatar_split_clause, [status(thm)], [p5178, sdef48, sdef65])).
% 233.17/43.10 cnf(p1108, plain, vtcheck(vbind(X0,X1,vempty),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1101, p1093])).
% 233.17/43.10 cnf(p1117, plain, vtcheck(vempty,vabs(X0,X1,vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),varrow(X1,sk74)), inference(resolution, [status(thm)], [p1108, c299])).
% 233.17/43.10 cnf(p1161, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75)))),X0),sk74), inference(resolution, [status(thm)], [p1117, c300])).
% 233.17/43.10 cnf(p1406, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1161, c321])).
% 233.17/43.10 cnf(p5182, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1406])).
% 233.17/43.10 fof(sdef66, definition, (spl66 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 233.17/43.10 cnf(ssp60, plain, (spl48 | spl66), inference(avatar_split_clause, [status(thm)], [p5182, sdef48, sdef66])).
% 233.17/43.10 cnf(p1121, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,sk74),vabs(X2,X3,vvar(sk75))),vabs(X4,X1,vvar(sk75))),varrow(X3,sk74)), inference(resolution, [status(thm)], [p1105, p1095])).
% 233.17/43.10 cnf(p1171, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),X0),sk74), inference(resolution, [status(thm)], [p1121, c300])).
% 233.17/43.10 cnf(p1508, plain, vtcheck(vempty,vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1171, c321])).
% 233.17/43.10 cnf(p5187, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1508])).
% 233.17/43.10 fof(sdef67, definition, (spl67 <=> (vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 233.17/43.10 cnf(ssp61, plain, (spl48 | spl67), inference(avatar_split_clause, [status(thm)], [p5187, sdef48, sdef67])).
% 233.17/43.10 cnf(p1143, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74), inference(resolution, [status(thm)], [p1107, p1096])).
% 233.17/43.10 cnf(p5207, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1143])).
% 233.17/43.10 fof(sdef68, definition, (spl68 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 233.17/43.10 cnf(ssp62, plain, (spl48 | spl68), inference(avatar_split_clause, [status(thm)], [p5207, sdef48, sdef68])).
% 233.17/43.10 cnf(p1148, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74), inference(resolution, [status(thm)], [p1110, p1098])).
% 233.17/43.10 cnf(p5209, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1148])).
% 233.17/43.10 fof(sdef69, definition, (spl69 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 233.17/43.10 cnf(ssp63, plain, (spl48 | spl69), inference(avatar_split_clause, [status(thm)], [p5209, sdef48, sdef69])).
% 233.17/43.10 cnf(p1163, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74), inference(resolution, [status(thm)], [p1117, p1096])).
% 233.17/43.10 cnf(p5211, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1163])).
% 233.17/43.10 fof(sdef70, definition, (spl70 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 233.17/43.10 cnf(ssp64, plain, (spl48 | spl70), inference(avatar_split_clause, [status(thm)], [p5211, sdef48, sdef70])).
% 233.17/43.10 cnf(p1111, plain, vtcheck(vbind(X0,X1,vempty),vabs(X2,X3,vapp(vabs(X4,sk74,vvar(sk75)),vvar(sk75))),varrow(X3,sk74)), inference(resolution, [status(thm)], [p1104, p1093])).
% 233.17/43.10 cnf(p1118, plain, vtcheck(vempty,vabs(X0,X1,vabs(X2,X3,vapp(vabs(X4,sk74,vvar(sk75)),vvar(sk75)))),varrow(X1,varrow(X3,sk74))), inference(resolution, [status(thm)], [p1111, c299])).
% 233.17/43.10 cnf(p1168, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74), inference(resolution, [status(thm)], [p1118, p1096])).
% 233.17/43.10 cnf(p5213, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1168])).
% 233.17/43.10 fof(sdef71, definition, (spl71 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 233.17/43.10 cnf(ssp65, plain, (spl48 | spl71), inference(avatar_split_clause, [status(thm)], [p5213, sdef48, sdef71])).
% 233.17/43.10 cnf(p1173, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74), inference(resolution, [status(thm)], [p1121, p1096])).
% 233.17/43.10 cnf(p5215, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1173])).
% 233.17/43.10 fof(sdef72, definition, (spl72 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 233.17/43.10 cnf(ssp66, plain, (spl48 | spl72), inference(avatar_split_clause, [status(thm)], [p5215, sdef48, sdef72])).
% 233.17/43.10 cnf(p1179, plain, vtcheck(vempty,vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74), inference(resolution, [status(thm)], [p1127, p1098])).
% 233.17/43.10 cnf(p5217, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1179])).
% 233.17/43.10 fof(sdef73, definition, (spl73 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 233.17/43.10 cnf(ssp67, plain, (spl48 | spl73), inference(avatar_split_clause, [status(thm)], [p5217, sdef48, sdef73])).
% 233.17/43.10 cnf(p1128, plain, vtcheck(vbind(X0,X1,vempty),vapp(vabs(X2,sk74,vabs(X3,X4,vvar(sk75))),vvar(sk75)),varrow(X4,sk74)), inference(resolution, [status(thm)], [p1120, p1093])).
% 233.17/43.10 cnf(p1131, plain, vtcheck(vempty,vabs(X0,X1,vapp(vabs(X2,sk74,vabs(X3,X4,vvar(sk75))),vvar(sk75))),varrow(X1,varrow(X4,sk74))), inference(resolution, [status(thm)], [p1128, c299])).
% 233.17/43.10 cnf(p1199, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74), inference(resolution, [status(thm)], [p1131, p1096])).
% 233.17/43.10 cnf(p5219, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1199])).
% 233.17/43.10 fof(sdef74, definition, (spl74 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 233.17/43.10 cnf(ssp68, plain, (spl48 | spl74), inference(avatar_split_clause, [status(thm)], [p5219, sdef48, sdef74])).
% 233.17/43.10 cnf(p1122, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vabs(X1,X2,vvar(sk75))),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),varrow(X2,sk74)), inference(resolution, [status(thm)], [p1105, p1100])).
% 233.17/43.10 cnf(p1211, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vapp(vabs(X4,sk74,vvar(sk75)),vvar(sk75))),X0),sk74), inference(resolution, [status(thm)], [p1122, c300])).
% 233.17/43.10 cnf(p1931, plain, vtcheck(vempty,vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1211, c321])).
% 233.17/43.10 cnf(p5221, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1931])).
% 233.17/43.10 fof(sdef75, definition, (spl75 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 233.17/43.10 cnf(ssp69, plain, (spl48 | spl75), inference(avatar_split_clause, [status(thm)], [p5221, sdef48, sdef75])).
% 233.17/43.10 cnf(p1113, plain, vtcheck(vbind(X0,X1,vempty),vapp(vabs(X2,sk74,vvar(sk75)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1103, p1093])).
% 233.17/43.10 cnf(p1133, plain, vtcheck(vempty,vabs(X0,X1,vapp(vabs(X2,sk74,vvar(sk75)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),varrow(X1,sk74)), inference(resolution, [status(thm)], [p1113, c299])).
% 233.17/43.10 cnf(p1221, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vapp(vabs(X4,sk74,vvar(sk75)),vvar(sk75)))),X0),sk74), inference(resolution, [status(thm)], [p1133, c300])).
% 233.17/43.10 cnf(p2004, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1221, c321])).
% 233.17/43.10 cnf(p5224, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p2004])).
% 233.17/43.10 fof(sdef76, definition, (spl76 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 233.17/43.10 cnf(ssp70, plain, (spl48 | spl76), inference(avatar_split_clause, [status(thm)], [p5224, sdef48, sdef76])).
% 233.17/43.10 cnf(p1155, plain, vtcheck(vbind(X0,X1,vempty),vapp(vabs(X2,sk74,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1145, p1093])).
% 233.17/43.10 cnf(p1159, plain, vtcheck(vempty,vabs(X0,X1,vapp(vabs(X2,sk74,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),varrow(X1,sk74)), inference(resolution, [status(thm)], [p1155, c299])).
% 233.17/43.10 cnf(p1232, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vapp(vabs(X3,sk74,vapp(vabs(X4,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),X0),sk74), inference(resolution, [status(thm)], [p1159, c300])).
% 233.17/43.10 cnf(p2079, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1232, c321])).
% 233.17/43.10 cnf(p5227, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p2079])).
% 233.17/43.10 fof(sdef77, definition, (spl77 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 233.17/43.10 cnf(ssp71, plain, (spl48 | spl77), inference(avatar_split_clause, [status(thm)], [p5227, sdef48, sdef77])).
% 233.17/43.10 cnf(p1190, plain, vtcheck(vbind(X0,X1,vempty),vapp(vapp(vabs(X2,sk74,vabs(X3,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1176, p1093])).
% 233.17/43.10 cnf(p1195, plain, vtcheck(vempty,vabs(X0,X1,vapp(vapp(vabs(X2,sk74,vabs(X3,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),varrow(X1,sk74)), inference(resolution, [status(thm)], [p1190, c299])).
% 233.17/43.10 cnf(p1244, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vapp(vapp(vabs(X3,sk74,vabs(X4,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),X0),sk74), inference(resolution, [status(thm)], [p1195, c300])).
% 233.17/43.10 cnf(p2156, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1244, c321])).
% 233.17/43.10 cnf(p5230, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p2156])).
% 233.17/43.10 fof(sdef78, definition, (spl78 <=> (vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 233.17/43.10 cnf(ssp72, plain, (spl48 | spl78), inference(avatar_split_clause, [status(thm)], [p5230, sdef48, sdef78])).
% 233.17/43.10 cnf(p1134, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vabs(X3,X4,vabs(X5,X6,vvar(sk75)))),X0),varrow(X4,varrow(X6,sk74))), inference(resolution, [status(thm)], [p1115, c300])).
% 233.17/43.10 cnf(p1289, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vabs(X1,X2,vabs(X3,X4,vvar(sk75)))),vvar(sk75)),varrow(X2,varrow(X4,sk74))), inference(resolution, [status(thm)], [p1134, c321])).
% 233.17/43.10 cnf(p1321, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1289, p1096])).
% 233.17/43.10 cnf(p5234, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1321])).
% 233.17/43.10 fof(sdef79, definition, (spl79 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 233.17/43.10 cnf(ssp73, plain, (spl48 | spl79), inference(avatar_split_clause, [status(thm)], [p5234, sdef48, sdef79])).
% 233.17/43.10 cnf(p1407, plain, vtcheck(vempty,vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1161, p1095])).
% 233.17/43.10 cnf(p5245, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1407])).
% 233.17/43.10 fof(sdef80, definition, (spl80 <=> (vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 233.17/43.10 cnf(ssp74, plain, (spl48 | spl80), inference(avatar_split_clause, [status(thm)], [p5245, sdef48, sdef80])).
% 233.17/43.10 cnf(p1166, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vabs(X3,X4,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75)))),X0),varrow(X4,sk74)), inference(resolution, [status(thm)], [p1118, c300])).
% 233.17/43.10 cnf(p1454, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vabs(X1,X2,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),varrow(X2,sk74)), inference(resolution, [status(thm)], [p1166, c321])).
% 233.17/43.10 cnf(p1489, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vapp(vabs(X2,sk74,vabs(X3,X1,vapp(vabs(X4,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),X0),sk74), inference(resolution, [status(thm)], [p1454, c300])).
% 233.17/43.10 cnf(p2456, plain, vtcheck(vempty,vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1489, c321])).
% 233.17/43.10 cnf(p5249, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p2456])).
% 233.17/43.10 fof(sdef81, definition, (spl81 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 233.17/43.10 cnf(ssp75, plain, (spl48 | spl81), inference(avatar_split_clause, [status(thm)], [p5249, sdef48, sdef81])).
% 233.17/43.10 cnf(p1509, plain, vtcheck(vempty,vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74), inference(resolution, [status(thm)], [p1171, p1095])).
% 233.17/43.10 cnf(p5253, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c310, p1509])).
% 233.17/43.10 fof(sdef82, definition, (spl82 <=> (vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 233.17/43.10 cnf(ssp76, plain, (spl48 | spl82), inference(avatar_split_clause, [status(thm)], [p5253, sdef48, sdef82])).
% 233.17/43.10 cnf(p1197, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vabs(X2,X1,vapp(vabs(X3,sk74,vabs(X4,X5,vvar(sk75))),vvar(sk75))),X0),varrow(X5,sk74)), inference(resolution, [status(thm)], [p1131, c300])).
% 233.17/43.10 cnf(p1565, plain, vtcheck(vempty,vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,X3,vvar(sk75))),vvar(sk75))),vvar(sk75)),varrow(X3,sk74)), inference(resolution, [status(thm)], [p1197, c321])).
% 233.17/43.10 cnf(p1602, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vapp(vabs(X2,sk74,vapp(vabs(X3,sk74,vabs(X4,X1,vvar(sk75))),vvar(sk75))),vvar(sk75)),X0),sk74), inference(resolution, [status(thm)], [p1565, c300])).
% 233.17/43.10 cnf(p2618, plain, vtcheck(vempty,vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1602, c321])).
% 233.17/43.10 cnf(p5257, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p2618])).
% 233.17/43.10 fof(sdef83, definition, (spl83 <=> (vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 233.17/43.10 cnf(ssp77, plain, (spl48 | spl83), inference(avatar_split_clause, [status(thm)], [p5257, sdef48, sdef83])).
% 233.17/43.10 cnf(p1319, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vapp(vabs(X2,sk74,vabs(X3,X1,vabs(X4,X5,vvar(sk75)))),vvar(sk75)),X0),varrow(X5,sk74)), inference(resolution, [status(thm)], [p1289, c300])).
% 233.17/43.10 cnf(p1690, plain, vtcheck(vempty,vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,X3,vvar(sk75)))),vvar(sk75)),vvar(sk75)),varrow(X3,sk74)), inference(resolution, [status(thm)], [p1319, c321])).
% 233.17/43.10 cnf(p1734, plain, ~vtcheck(vempty,X0,X1) | vtcheck(vempty,vapp(vapp(vapp(vabs(X2,sk74,vabs(X3,sk74,vabs(X4,X1,vvar(sk75)))),vvar(sk75)),vvar(sk75)),X0),sk74), inference(resolution, [status(thm)], [p1690, c300])).
% 233.17/43.10 cnf(p2758, plain, vtcheck(vempty,vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74), inference(resolution, [status(thm)], [p1734, c321])).
% 233.17/43.10 cnf(p5262, plain, vnoType = vsomeType(sk74) | vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c310, p2758])).
% 233.17/43.10 fof(sdef84, definition, (spl84 <=> (vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 233.17/43.10 cnf(ssp78, plain, (spl48 | spl84), inference(avatar_split_clause, [status(thm)], [p5262, sdef48, sdef84])).
% 233.17/43.10 cnf(p5264, plain, (vnoType = vsomeType(sk73(sk75,sk74,vempty)) | sk72(sk75,sk74,vempty) = vabs(sk67(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk69(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk68(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | sk72(sk75,sk74,vempty) = vapp(sk71(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty),sk72(sk72(sk75,sk74,vempty),sk73(sk75,sk74,vempty),vempty)) | ~spl29), inference(resolution, [status(thm)], [c310, p4043])).
% 233.17/43.10 cnf(ssp79, plain, (~spl29 | spl42 | spl43 | spl85), inference(avatar_split_clause, [status(thm)], [p5264, sdef42, sdef43, sdef85])).
% 233.17/43.10 cnf(p5313, plain, (X0 != sk66(sk75,sk74,vempty) | sk66(sk75,sk74,vempty) != vvar(sk66(sk75,sk74,vempty)) | visFreeVar(X0,X0) | ~spl38), inference(superposition, [status(thm)], [p4236, p353])).
% 233.17/43.10 fof(sdef86, definition, (spl86 <=> (X0 != sk66(sk75,sk74,vempty) | visFreeVar(X0,X0))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 233.17/43.10 cnf(ssp80, plain, (~spl38 | spl33 | spl86), inference(avatar_split_clause, [status(thm)], [p5313, sdef33, sdef86])).
% 233.17/43.10 cnf(c311, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | X0 = vabs(sk67(X0,X1,X2),sk69(X0,X1,X2),sk68(X0,X1,X2)) | vtcheck(X2,sk71(X0,X1,X2),varrow(sk73(X0,X1,X2),X1)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p5487, plain, vnoType = vsomeType(sk74) | vvar(sk75) = vabs(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),sk68(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk71(vvar(sk75),sk74,vempty),varrow(sk73(vvar(sk75),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, c321])).
% 233.17/43.10 cnf(ssp81, plain, (spl9 | spl23 | spl48), inference(avatar_split_clause, [status(thm)], [p5487, sdef9, sdef23, sdef48])).
% 233.17/43.10 cnf(p5491, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1100])).
% 233.17/43.10 fof(sdef87, definition, (spl87 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 233.17/43.10 cnf(ssp82, plain, (spl48 | spl87), inference(avatar_split_clause, [status(thm)], [p5491, sdef48, sdef87])).
% 233.17/43.10 cnf(p5495, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1101])).
% 233.17/43.10 fof(sdef88, definition, (spl88 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 233.17/43.10 cnf(ssp83, plain, (spl48 | spl88), inference(avatar_split_clause, [status(thm)], [p5495, sdef48, sdef88])).
% 233.17/43.10 cnf(p5498, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1103])).
% 233.17/43.10 fof(sdef89, definition, (spl89 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 233.17/43.10 cnf(ssp84, plain, (spl48 | spl89), inference(avatar_split_clause, [status(thm)], [p5498, sdef48, sdef89])).
% 233.17/43.10 cnf(p5507, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1107])).
% 233.17/43.10 fof(sdef90, definition, (spl90 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 233.17/43.10 cnf(ssp85, plain, (spl48 | spl90), inference(avatar_split_clause, [status(thm)], [p5507, sdef48, sdef90])).
% 233.17/43.10 cnf(p5509, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1145])).
% 233.17/43.10 fof(sdef91, definition, (spl91 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 233.17/43.10 cnf(ssp86, plain, (spl48 | spl91), inference(avatar_split_clause, [status(thm)], [p5509, sdef48, sdef91])).
% 233.17/43.10 cnf(p5515, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1176])).
% 233.17/43.10 fof(sdef92, definition, (spl92 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 233.17/43.10 cnf(ssp87, plain, (spl48 | spl92), inference(avatar_split_clause, [status(thm)], [p5515, sdef48, sdef92])).
% 233.17/43.10 cnf(p5519, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1109])).
% 233.17/43.10 fof(sdef93, definition, (spl93 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 233.17/43.10 cnf(ssp88, plain, (spl48 | spl93), inference(avatar_split_clause, [status(thm)], [p5519, sdef48, sdef93])).
% 233.17/43.10 cnf(p5521, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1112])).
% 233.17/43.10 fof(sdef94, definition, (spl94 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 233.17/43.10 cnf(ssp89, plain, (spl48 | spl94), inference(avatar_split_clause, [status(thm)], [p5521, sdef48, sdef94])).
% 233.17/43.10 cnf(p5524, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1129])).
% 233.17/43.10 fof(sdef95, definition, (spl95 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 233.17/43.10 cnf(ssp90, plain, (spl48 | spl95), inference(avatar_split_clause, [status(thm)], [p5524, sdef48, sdef95])).
% 233.17/43.10 cnf(p5527, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1146])).
% 233.17/43.10 fof(sdef96, definition, (spl96 <=> (vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 233.17/43.10 cnf(ssp91, plain, (spl48 | spl96), inference(avatar_split_clause, [status(thm)], [p5527, sdef48, sdef96])).
% 233.17/43.10 cnf(p5530, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1177])).
% 233.17/43.10 fof(sdef97, definition, (spl97 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 233.17/43.10 cnf(ssp92, plain, (spl48 | spl97), inference(avatar_split_clause, [status(thm)], [p5530, sdef48, sdef97])).
% 233.17/43.10 cnf(p5533, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1114])).
% 233.17/43.10 fof(sdef98, definition, (spl98 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 233.17/43.10 cnf(ssp93, plain, (spl48 | spl98), inference(avatar_split_clause, [status(thm)], [p5533, sdef48, sdef98])).
% 233.17/43.10 cnf(p5536, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1147])).
% 233.17/43.10 fof(sdef99, definition, (spl99 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 233.17/43.10 cnf(ssp94, plain, (spl48 | spl99), inference(avatar_split_clause, [status(thm)], [p5536, sdef48, sdef99])).
% 233.17/43.10 cnf(p5538, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1156])).
% 233.17/43.10 fof(sdef100, definition, (spl100 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 233.17/43.10 cnf(ssp95, plain, (spl48 | spl100), inference(avatar_split_clause, [status(thm)], [p5538, sdef48, sdef100])).
% 233.17/43.10 cnf(p5540, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1178])).
% 233.17/43.10 fof(sdef101, definition, (spl101 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 233.17/43.10 cnf(ssp96, plain, (spl48 | spl101), inference(avatar_split_clause, [status(thm)], [p5540, sdef48, sdef101])).
% 233.17/43.10 cnf(p5542, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1191])).
% 233.17/43.10 fof(sdef102, definition, (spl102 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 233.17/43.10 cnf(ssp97, plain, (spl48 | spl102), inference(avatar_split_clause, [status(thm)], [p5542, sdef48, sdef102])).
% 233.17/43.10 cnf(p5562, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1136])).
% 233.17/43.10 fof(sdef103, definition, (spl103 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 233.17/43.10 cnf(ssp98, plain, (spl48 | spl103), inference(avatar_split_clause, [status(thm)], [p5562, sdef48, sdef103])).
% 233.17/43.10 cnf(p5566, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1406])).
% 233.17/43.10 fof(sdef104, definition, (spl104 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 233.17/43.10 cnf(ssp99, plain, (spl48 | spl104), inference(avatar_split_clause, [status(thm)], [p5566, sdef48, sdef104])).
% 233.17/43.10 cnf(p5571, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1508])).
% 233.17/43.10 fof(sdef105, definition, (spl105 <=> (vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 233.17/43.10 cnf(ssp100, plain, (spl48 | spl105), inference(avatar_split_clause, [status(thm)], [p5571, sdef48, sdef105])).
% 233.17/43.10 cnf(p5591, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1143])).
% 233.17/43.10 fof(sdef106, definition, (spl106 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 233.17/43.10 cnf(ssp101, plain, (spl48 | spl106), inference(avatar_split_clause, [status(thm)], [p5591, sdef48, sdef106])).
% 233.17/43.10 cnf(p5593, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1148])).
% 233.17/43.10 fof(sdef107, definition, (spl107 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 233.17/43.10 cnf(ssp102, plain, (spl48 | spl107), inference(avatar_split_clause, [status(thm)], [p5593, sdef48, sdef107])).
% 233.17/43.10 cnf(p5595, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1163])).
% 233.17/43.10 fof(sdef108, definition, (spl108 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 233.17/43.10 cnf(ssp103, plain, (spl48 | spl108), inference(avatar_split_clause, [status(thm)], [p5595, sdef48, sdef108])).
% 233.17/43.10 cnf(p5597, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1168])).
% 233.17/43.10 fof(sdef109, definition, (spl109 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 233.17/43.10 cnf(ssp104, plain, (spl48 | spl109), inference(avatar_split_clause, [status(thm)], [p5597, sdef48, sdef109])).
% 233.17/43.10 cnf(p5599, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1173])).
% 233.17/43.10 fof(sdef110, definition, (spl110 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 233.17/43.10 cnf(ssp105, plain, (spl48 | spl110), inference(avatar_split_clause, [status(thm)], [p5599, sdef48, sdef110])).
% 233.17/43.10 cnf(p5601, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1179])).
% 233.17/43.10 fof(sdef111, definition, (spl111 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 233.17/43.10 cnf(ssp106, plain, (spl48 | spl111), inference(avatar_split_clause, [status(thm)], [p5601, sdef48, sdef111])).
% 233.17/43.10 cnf(p5603, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1199])).
% 233.17/43.10 fof(sdef112, definition, (spl112 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 233.17/43.10 cnf(ssp107, plain, (spl48 | spl112), inference(avatar_split_clause, [status(thm)], [p5603, sdef48, sdef112])).
% 233.17/43.10 cnf(p5605, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1931])).
% 233.17/43.10 fof(sdef113, definition, (spl113 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 233.17/43.10 cnf(ssp108, plain, (spl48 | spl113), inference(avatar_split_clause, [status(thm)], [p5605, sdef48, sdef113])).
% 233.17/43.10 cnf(p5608, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p2004])).
% 233.17/43.10 fof(sdef114, definition, (spl114 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 233.17/43.10 cnf(ssp109, plain, (spl48 | spl114), inference(avatar_split_clause, [status(thm)], [p5608, sdef48, sdef114])).
% 233.17/43.10 cnf(p5611, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p2079])).
% 233.17/43.10 fof(sdef115, definition, (spl115 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 233.17/43.10 cnf(ssp110, plain, (spl48 | spl115), inference(avatar_split_clause, [status(thm)], [p5611, sdef48, sdef115])).
% 233.17/43.10 cnf(p5614, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p2156])).
% 233.17/43.10 fof(sdef116, definition, (spl116 <=> (vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 233.17/43.10 cnf(ssp111, plain, (spl48 | spl116), inference(avatar_split_clause, [status(thm)], [p5614, sdef48, sdef116])).
% 233.17/43.10 cnf(p5618, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1321])).
% 233.17/43.10 fof(sdef117, definition, (spl117 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 233.17/43.10 cnf(ssp112, plain, (spl48 | spl117), inference(avatar_split_clause, [status(thm)], [p5618, sdef48, sdef117])).
% 233.17/43.10 cnf(p5629, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1407])).
% 233.17/43.10 fof(sdef118, definition, (spl118 <=> (vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 233.17/43.10 cnf(ssp113, plain, (spl48 | spl118), inference(avatar_split_clause, [status(thm)], [p5629, sdef48, sdef118])).
% 233.17/43.10 cnf(p5633, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p2456])).
% 233.17/43.10 fof(sdef119, definition, (spl119 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 233.17/43.10 cnf(ssp114, plain, (spl48 | spl119), inference(avatar_split_clause, [status(thm)], [p5633, sdef48, sdef119])).
% 233.17/43.10 cnf(p5637, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p1509])).
% 233.17/43.10 fof(sdef120, definition, (spl120 <=> (vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 233.17/43.10 cnf(ssp115, plain, (spl48 | spl120), inference(avatar_split_clause, [status(thm)], [p5637, sdef48, sdef120])).
% 233.17/43.10 cnf(p5641, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p2618])).
% 233.17/43.10 fof(sdef121, definition, (spl121 <=> (vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 233.17/43.10 cnf(ssp116, plain, (spl48 | spl121), inference(avatar_split_clause, [status(thm)], [p5641, sdef48, sdef121])).
% 233.17/43.10 cnf(p5646, plain, vnoType = vsomeType(sk74) | vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c311, p2758])).
% 233.17/43.10 fof(sdef122, definition, (spl122 <=> (vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 233.17/43.10 cnf(ssp117, plain, (spl48 | spl122), inference(avatar_split_clause, [status(thm)], [p5646, sdef48, sdef122])).
% 233.17/43.10 cnf(c312, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | X0 = vabs(sk67(X0,X1,X2),sk69(X0,X1,X2),sk68(X0,X1,X2)) | vtcheck(X2,sk72(X0,X1,X2),sk73(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p5656, plain, vnoType = vsomeType(sk74) | vvar(sk75) = vabs(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),sk68(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk72(vvar(sk75),sk74,vempty),sk73(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c312, c321])).
% 233.17/43.10 cnf(ssp118, plain, (spl9 | spl28 | spl48), inference(avatar_split_clause, [status(thm)], [p5656, sdef9, sdef28, sdef48])).
% 233.17/43.10 cnf(p5660, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1100])).
% 233.17/43.10 fof(sdef123, definition, (spl123 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 233.17/43.10 cnf(ssp119, plain, (spl48 | spl123), inference(avatar_split_clause, [status(thm)], [p5660, sdef48, sdef123])).
% 233.17/43.10 cnf(p5664, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1101])).
% 233.17/43.10 fof(sdef124, definition, (spl124 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 233.17/43.10 cnf(ssp120, plain, (spl48 | spl124), inference(avatar_split_clause, [status(thm)], [p5664, sdef48, sdef124])).
% 233.17/43.10 cnf(p5667, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1103])).
% 233.17/43.10 fof(sdef125, definition, (spl125 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 233.17/43.10 cnf(ssp121, plain, (spl48 | spl125), inference(avatar_split_clause, [status(thm)], [p5667, sdef48, sdef125])).
% 233.17/43.10 cnf(p5676, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1107])).
% 233.17/43.10 fof(sdef126, definition, (spl126 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 233.17/43.10 cnf(ssp122, plain, (spl48 | spl126), inference(avatar_split_clause, [status(thm)], [p5676, sdef48, sdef126])).
% 233.17/43.10 cnf(p5678, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1145])).
% 233.17/43.10 fof(sdef127, definition, (spl127 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 233.17/43.10 cnf(ssp123, plain, (spl48 | spl127), inference(avatar_split_clause, [status(thm)], [p5678, sdef48, sdef127])).
% 233.17/43.10 cnf(p5684, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1176])).
% 233.17/43.10 fof(sdef128, definition, (spl128 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 233.17/43.10 cnf(ssp124, plain, (spl48 | spl128), inference(avatar_split_clause, [status(thm)], [p5684, sdef48, sdef128])).
% 233.17/43.10 cnf(p5688, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1109])).
% 233.17/43.10 fof(sdef129, definition, (spl129 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 233.17/43.10 cnf(ssp125, plain, (spl48 | spl129), inference(avatar_split_clause, [status(thm)], [p5688, sdef48, sdef129])).
% 233.17/43.10 cnf(p5690, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1112])).
% 233.17/43.10 fof(sdef130, definition, (spl130 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 233.17/43.10 cnf(ssp126, plain, (spl48 | spl130), inference(avatar_split_clause, [status(thm)], [p5690, sdef48, sdef130])).
% 233.17/43.10 cnf(p5693, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1129])).
% 233.17/43.10 fof(sdef131, definition, (spl131 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 233.17/43.10 cnf(ssp127, plain, (spl48 | spl131), inference(avatar_split_clause, [status(thm)], [p5693, sdef48, sdef131])).
% 233.17/43.10 cnf(p5696, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1146])).
% 233.17/43.10 fof(sdef132, definition, (spl132 <=> (vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl132])], [avatar_definition])).
% 233.17/43.10 cnf(ssp128, plain, (spl48 | spl132), inference(avatar_split_clause, [status(thm)], [p5696, sdef48, sdef132])).
% 233.17/43.10 cnf(p5699, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1177])).
% 233.17/43.10 fof(sdef133, definition, (spl133 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl133])], [avatar_definition])).
% 233.17/43.10 cnf(ssp129, plain, (spl48 | spl133), inference(avatar_split_clause, [status(thm)], [p5699, sdef48, sdef133])).
% 233.17/43.10 cnf(p5702, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1114])).
% 233.17/43.10 fof(sdef134, definition, (spl134 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 233.17/43.10 cnf(ssp130, plain, (spl48 | spl134), inference(avatar_split_clause, [status(thm)], [p5702, sdef48, sdef134])).
% 233.17/43.10 cnf(p5705, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1147])).
% 233.17/43.10 fof(sdef135, definition, (spl135 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl135])], [avatar_definition])).
% 233.17/43.10 cnf(ssp131, plain, (spl48 | spl135), inference(avatar_split_clause, [status(thm)], [p5705, sdef48, sdef135])).
% 233.17/43.10 cnf(p5707, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1156])).
% 233.17/43.10 fof(sdef136, definition, (spl136 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl136])], [avatar_definition])).
% 233.17/43.10 cnf(ssp132, plain, (spl48 | spl136), inference(avatar_split_clause, [status(thm)], [p5707, sdef48, sdef136])).
% 233.17/43.10 cnf(p5709, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1178])).
% 233.17/43.10 fof(sdef137, definition, (spl137 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 233.17/43.10 cnf(ssp133, plain, (spl48 | spl137), inference(avatar_split_clause, [status(thm)], [p5709, sdef48, sdef137])).
% 233.17/43.10 cnf(p5711, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1191])).
% 233.17/43.10 fof(sdef138, definition, (spl138 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl138])], [avatar_definition])).
% 233.17/43.10 cnf(ssp134, plain, (spl48 | spl138), inference(avatar_split_clause, [status(thm)], [p5711, sdef48, sdef138])).
% 233.17/43.10 cnf(p5731, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1136])).
% 233.17/43.10 fof(sdef139, definition, (spl139 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 233.17/43.10 cnf(ssp135, plain, (spl48 | spl139), inference(avatar_split_clause, [status(thm)], [p5731, sdef48, sdef139])).
% 233.17/43.10 cnf(p5735, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1406])).
% 233.17/43.10 fof(sdef140, definition, (spl140 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl140])], [avatar_definition])).
% 233.17/43.10 cnf(ssp136, plain, (spl48 | spl140), inference(avatar_split_clause, [status(thm)], [p5735, sdef48, sdef140])).
% 233.17/43.10 cnf(p5740, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1508])).
% 233.17/43.10 fof(sdef141, definition, (spl141 <=> (vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl141])], [avatar_definition])).
% 233.17/43.10 cnf(ssp137, plain, (spl48 | spl141), inference(avatar_split_clause, [status(thm)], [p5740, sdef48, sdef141])).
% 233.17/43.10 cnf(p5760, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1143])).
% 233.17/43.10 fof(sdef142, definition, (spl142 <=> (vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 233.17/43.10 cnf(ssp138, plain, (spl48 | spl142), inference(avatar_split_clause, [status(thm)], [p5760, sdef48, sdef142])).
% 233.17/43.10 cnf(p5762, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1148])).
% 233.17/43.10 fof(sdef143, definition, (spl143 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 233.17/43.10 cnf(ssp139, plain, (spl48 | spl143), inference(avatar_split_clause, [status(thm)], [p5762, sdef48, sdef143])).
% 233.17/43.10 cnf(p5764, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1163])).
% 233.17/43.10 fof(sdef144, definition, (spl144 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl144])], [avatar_definition])).
% 233.17/43.10 cnf(ssp140, plain, (spl48 | spl144), inference(avatar_split_clause, [status(thm)], [p5764, sdef48, sdef144])).
% 233.17/43.10 cnf(p5766, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1168])).
% 233.17/43.10 fof(sdef145, definition, (spl145 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 233.17/43.10 cnf(ssp141, plain, (spl48 | spl145), inference(avatar_split_clause, [status(thm)], [p5766, sdef48, sdef145])).
% 233.17/43.10 cnf(p5768, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1173])).
% 233.17/43.10 fof(sdef146, definition, (spl146 <=> (vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 233.17/43.10 cnf(ssp142, plain, (spl48 | spl146), inference(avatar_split_clause, [status(thm)], [p5768, sdef48, sdef146])).
% 233.17/43.10 cnf(p5770, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1179])).
% 233.17/43.10 fof(sdef147, definition, (spl147 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 233.17/43.10 cnf(ssp143, plain, (spl48 | spl147), inference(avatar_split_clause, [status(thm)], [p5770, sdef48, sdef147])).
% 233.17/43.10 cnf(p5772, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1199])).
% 233.17/43.10 fof(sdef148, definition, (spl148 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 233.17/43.10 cnf(ssp144, plain, (spl48 | spl148), inference(avatar_split_clause, [status(thm)], [p5772, sdef48, sdef148])).
% 233.17/43.10 cnf(p5774, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1931])).
% 233.17/43.10 fof(sdef149, definition, (spl149 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 233.17/43.10 cnf(ssp145, plain, (spl48 | spl149), inference(avatar_split_clause, [status(thm)], [p5774, sdef48, sdef149])).
% 233.17/43.10 cnf(p5777, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p2004])).
% 233.17/43.10 fof(sdef150, definition, (spl150 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl150])], [avatar_definition])).
% 233.17/43.10 cnf(ssp146, plain, (spl48 | spl150), inference(avatar_split_clause, [status(thm)], [p5777, sdef48, sdef150])).
% 233.17/43.10 cnf(p5780, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p2079])).
% 233.17/43.10 fof(sdef151, definition, (spl151 <=> (vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl151])], [avatar_definition])).
% 233.17/43.10 cnf(ssp147, plain, (spl48 | spl151), inference(avatar_split_clause, [status(thm)], [p5780, sdef48, sdef151])).
% 233.17/43.10 cnf(p5783, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p2156])).
% 233.17/43.10 fof(sdef152, definition, (spl152 <=> (vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vabs(sk67(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk68(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl152])], [avatar_definition])).
% 233.17/43.10 cnf(ssp148, plain, (spl48 | spl152), inference(avatar_split_clause, [status(thm)], [p5783, sdef48, sdef152])).
% 233.17/43.10 cnf(p5787, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1321])).
% 233.17/43.10 fof(sdef153, definition, (spl153 <=> (vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 233.17/43.10 cnf(ssp149, plain, (spl48 | spl153), inference(avatar_split_clause, [status(thm)], [p5787, sdef48, sdef153])).
% 233.17/43.10 cnf(p5798, plain, vnoType = vsomeType(sk74) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1407])).
% 233.17/43.10 fof(sdef154, definition, (spl154 <=> (vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vabs(sk67(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk68(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 233.17/43.10 cnf(ssp150, plain, (spl48 | spl154), inference(avatar_split_clause, [status(thm)], [p5798, sdef48, sdef154])).
% 233.17/43.10 cnf(p5802, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p2456])).
% 233.17/43.10 fof(sdef155, definition, (spl155 <=> (vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 233.17/43.10 cnf(ssp151, plain, (spl48 | spl155), inference(avatar_split_clause, [status(thm)], [p5802, sdef48, sdef155])).
% 233.17/43.10 cnf(p5806, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c312, p1509])).
% 233.17/43.10 fof(sdef156, definition, (spl156 <=> (vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vabs(sk67(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk68(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 233.17/43.10 cnf(ssp152, plain, (spl48 | spl156), inference(avatar_split_clause, [status(thm)], [p5806, sdef48, sdef156])).
% 233.17/43.10 cnf(p5810, plain, vnoType = vsomeType(sk74) | vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p2618])).
% 233.17/43.10 fof(sdef157, definition, (spl157 <=> (vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl157])], [avatar_definition])).
% 233.17/43.10 cnf(ssp153, plain, (spl48 | spl157), inference(avatar_split_clause, [status(thm)], [p5810, sdef48, sdef157])).
% 233.17/43.10 cnf(p5815, plain, vnoType = vsomeType(sk74) | vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c312, p2758])).
% 233.17/43.10 fof(sdef158, definition, (spl158 <=> (vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vabs(sk67(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk68(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl158])], [avatar_definition])).
% 233.17/43.10 cnf(ssp154, plain, (spl48 | spl158), inference(avatar_split_clause, [status(thm)], [p5815, sdef48, sdef158])).
% 233.17/43.10 cnf(c313, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | X1 = varrow(sk69(X0,X1,X2),sk70(X0,X1,X2)) | X0 = vapp(sk71(X0,X1,X2),sk72(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.10 cnf(p5827, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vvar(sk75) = vapp(sk71(vvar(sk75),sk74,vempty),sk72(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c313, c321])).
% 233.17/43.10 cnf(ssp155, plain, (spl10 | spl30 | spl48), inference(avatar_split_clause, [status(thm)], [p5827, sdef10, sdef30, sdef48])).
% 233.17/43.10 cnf(p5831, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1100])).
% 233.17/43.10 fof(sdef159, definition, (spl159 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl159])], [avatar_definition])).
% 233.17/43.10 cnf(ssp156, plain, (spl48 | spl159), inference(avatar_split_clause, [status(thm)], [p5831, sdef48, sdef159])).
% 233.17/43.10 cnf(p5835, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1101])).
% 233.17/43.10 fof(sdef160, definition, (spl160 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl160])], [avatar_definition])).
% 233.17/43.10 cnf(ssp157, plain, (spl48 | spl160), inference(avatar_split_clause, [status(thm)], [p5835, sdef48, sdef160])).
% 233.17/43.10 cnf(p5838, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1103])).
% 233.17/43.10 fof(sdef161, definition, (spl161 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl161])], [avatar_definition])).
% 233.17/43.10 cnf(ssp158, plain, (spl48 | spl161), inference(avatar_split_clause, [status(thm)], [p5838, sdef48, sdef161])).
% 233.17/43.10 cnf(p5847, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1107])).
% 233.17/43.10 fof(sdef162, definition, (spl162 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl162])], [avatar_definition])).
% 233.17/43.10 cnf(ssp159, plain, (spl48 | spl162), inference(avatar_split_clause, [status(thm)], [p5847, sdef48, sdef162])).
% 233.17/43.10 cnf(p5849, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1145])).
% 233.17/43.10 fof(sdef163, definition, (spl163 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl163])], [avatar_definition])).
% 233.17/43.10 cnf(ssp160, plain, (spl48 | spl163), inference(avatar_split_clause, [status(thm)], [p5849, sdef48, sdef163])).
% 233.17/43.10 cnf(p5855, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1176])).
% 233.17/43.10 fof(sdef164, definition, (spl164 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl164])], [avatar_definition])).
% 233.17/43.10 cnf(ssp161, plain, (spl48 | spl164), inference(avatar_split_clause, [status(thm)], [p5855, sdef48, sdef164])).
% 233.17/43.10 cnf(p5859, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1109])).
% 233.17/43.10 fof(sdef165, definition, (spl165 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl165])], [avatar_definition])).
% 233.17/43.10 cnf(ssp162, plain, (spl48 | spl165), inference(avatar_split_clause, [status(thm)], [p5859, sdef48, sdef165])).
% 233.17/43.10 cnf(p5861, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1112])).
% 233.17/43.10 fof(sdef166, definition, (spl166 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl166])], [avatar_definition])).
% 233.17/43.10 cnf(ssp163, plain, (spl48 | spl166), inference(avatar_split_clause, [status(thm)], [p5861, sdef48, sdef166])).
% 233.17/43.10 cnf(p5864, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1129])).
% 233.17/43.10 fof(sdef167, definition, (spl167 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl167])], [avatar_definition])).
% 233.17/43.10 cnf(ssp164, plain, (spl48 | spl167), inference(avatar_split_clause, [status(thm)], [p5864, sdef48, sdef167])).
% 233.17/43.10 cnf(p5867, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1146])).
% 233.17/43.10 fof(sdef168, definition, (spl168 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl168])], [avatar_definition])).
% 233.17/43.10 cnf(ssp165, plain, (spl48 | spl168), inference(avatar_split_clause, [status(thm)], [p5867, sdef48, sdef168])).
% 233.17/43.10 cnf(p5870, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1177])).
% 233.17/43.10 fof(sdef169, definition, (spl169 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl169])], [avatar_definition])).
% 233.17/43.10 cnf(ssp166, plain, (spl48 | spl169), inference(avatar_split_clause, [status(thm)], [p5870, sdef48, sdef169])).
% 233.17/43.10 cnf(p5873, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1114])).
% 233.17/43.10 fof(sdef170, definition, (spl170 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl170])], [avatar_definition])).
% 233.17/43.10 cnf(ssp167, plain, (spl48 | spl170), inference(avatar_split_clause, [status(thm)], [p5873, sdef48, sdef170])).
% 233.17/43.10 cnf(p5876, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1147])).
% 233.17/43.10 fof(sdef171, definition, (spl171 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl171])], [avatar_definition])).
% 233.17/43.10 cnf(ssp168, plain, (spl48 | spl171), inference(avatar_split_clause, [status(thm)], [p5876, sdef48, sdef171])).
% 233.17/43.10 cnf(p5878, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1156])).
% 233.17/43.10 fof(sdef172, definition, (spl172 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl172])], [avatar_definition])).
% 233.17/43.10 cnf(ssp169, plain, (spl48 | spl172), inference(avatar_split_clause, [status(thm)], [p5878, sdef48, sdef172])).
% 233.17/43.10 cnf(p5880, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1178])).
% 233.17/43.10 fof(sdef173, definition, (spl173 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl173])], [avatar_definition])).
% 233.17/43.10 cnf(ssp170, plain, (spl48 | spl173), inference(avatar_split_clause, [status(thm)], [p5880, sdef48, sdef173])).
% 233.17/43.10 cnf(p5882, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1191])).
% 233.17/43.10 fof(sdef174, definition, (spl174 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl174])], [avatar_definition])).
% 233.17/43.10 cnf(ssp171, plain, (spl48 | spl174), inference(avatar_split_clause, [status(thm)], [p5882, sdef48, sdef174])).
% 233.17/43.10 cnf(p5902, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1136])).
% 233.17/43.10 fof(sdef175, definition, (spl175 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl175])], [avatar_definition])).
% 233.17/43.10 cnf(ssp172, plain, (spl48 | spl175), inference(avatar_split_clause, [status(thm)], [p5902, sdef48, sdef175])).
% 233.17/43.10 cnf(p5906, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1406])).
% 233.17/43.10 fof(sdef176, definition, (spl176 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl176])], [avatar_definition])).
% 233.17/43.10 cnf(ssp173, plain, (spl48 | spl176), inference(avatar_split_clause, [status(thm)], [p5906, sdef48, sdef176])).
% 233.17/43.10 cnf(p5911, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1508])).
% 233.17/43.10 fof(sdef177, definition, (spl177 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl177])], [avatar_definition])).
% 233.17/43.10 cnf(ssp174, plain, (spl48 | spl177), inference(avatar_split_clause, [status(thm)], [p5911, sdef48, sdef177])).
% 233.17/43.10 cnf(p5931, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1143])).
% 233.17/43.10 fof(sdef178, definition, (spl178 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl178])], [avatar_definition])).
% 233.17/43.10 cnf(ssp175, plain, (spl48 | spl178), inference(avatar_split_clause, [status(thm)], [p5931, sdef48, sdef178])).
% 233.17/43.10 cnf(p5933, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1148])).
% 233.17/43.10 fof(sdef179, definition, (spl179 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl179])], [avatar_definition])).
% 233.17/43.10 cnf(ssp176, plain, (spl48 | spl179), inference(avatar_split_clause, [status(thm)], [p5933, sdef48, sdef179])).
% 233.17/43.10 cnf(p5935, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1163])).
% 233.17/43.10 fof(sdef180, definition, (spl180 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl180])], [avatar_definition])).
% 233.17/43.10 cnf(ssp177, plain, (spl48 | spl180), inference(avatar_split_clause, [status(thm)], [p5935, sdef48, sdef180])).
% 233.17/43.10 cnf(p5937, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1168])).
% 233.17/43.10 fof(sdef181, definition, (spl181 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl181])], [avatar_definition])).
% 233.17/43.10 cnf(ssp178, plain, (spl48 | spl181), inference(avatar_split_clause, [status(thm)], [p5937, sdef48, sdef181])).
% 233.17/43.10 cnf(p5939, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1173])).
% 233.17/43.10 fof(sdef182, definition, (spl182 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl182])], [avatar_definition])).
% 233.17/43.10 cnf(ssp179, plain, (spl48 | spl182), inference(avatar_split_clause, [status(thm)], [p5939, sdef48, sdef182])).
% 233.17/43.10 cnf(p5941, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1179])).
% 233.17/43.10 fof(sdef183, definition, (spl183 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl183])], [avatar_definition])).
% 233.17/43.10 cnf(ssp180, plain, (spl48 | spl183), inference(avatar_split_clause, [status(thm)], [p5941, sdef48, sdef183])).
% 233.17/43.10 cnf(p5943, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1199])).
% 233.17/43.10 fof(sdef184, definition, (spl184 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl184])], [avatar_definition])).
% 233.17/43.10 cnf(ssp181, plain, (spl48 | spl184), inference(avatar_split_clause, [status(thm)], [p5943, sdef48, sdef184])).
% 233.17/43.10 cnf(p5945, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1931])).
% 233.17/43.10 fof(sdef185, definition, (spl185 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl185])], [avatar_definition])).
% 233.17/43.10 cnf(ssp182, plain, (spl48 | spl185), inference(avatar_split_clause, [status(thm)], [p5945, sdef48, sdef185])).
% 233.17/43.10 cnf(p5948, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p2004])).
% 233.17/43.10 fof(sdef186, definition, (spl186 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl186])], [avatar_definition])).
% 233.17/43.10 cnf(ssp183, plain, (spl48 | spl186), inference(avatar_split_clause, [status(thm)], [p5948, sdef48, sdef186])).
% 233.17/43.10 cnf(p5951, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p2079])).
% 233.17/43.10 fof(sdef187, definition, (spl187 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl187])], [avatar_definition])).
% 233.17/43.10 cnf(ssp184, plain, (spl48 | spl187), inference(avatar_split_clause, [status(thm)], [p5951, sdef48, sdef187])).
% 233.17/43.10 cnf(p5954, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p2156])).
% 233.17/43.11 fof(sdef188, definition, (spl188 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)) = vapp(sk71(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk72(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl188])], [avatar_definition])).
% 233.17/43.11 cnf(ssp185, plain, (spl48 | spl188), inference(avatar_split_clause, [status(thm)], [p5954, sdef48, sdef188])).
% 233.17/43.11 cnf(p5958, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1321])).
% 233.17/43.11 fof(sdef189, definition, (spl189 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl189])], [avatar_definition])).
% 233.17/43.11 cnf(ssp186, plain, (spl48 | spl189), inference(avatar_split_clause, [status(thm)], [p5958, sdef48, sdef189])).
% 233.17/43.11 cnf(p5969, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1407])).
% 233.17/43.11 fof(sdef190, definition, (spl190 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))) = vapp(sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl190])], [avatar_definition])).
% 233.17/43.11 cnf(ssp187, plain, (spl48 | spl190), inference(avatar_split_clause, [status(thm)], [p5969, sdef48, sdef190])).
% 233.17/43.11 cnf(p5973, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p2456])).
% 233.17/43.11 fof(sdef191, definition, (spl191 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl191])], [avatar_definition])).
% 233.17/43.11 cnf(ssp188, plain, (spl48 | spl191), inference(avatar_split_clause, [status(thm)], [p5973, sdef48, sdef191])).
% 233.17/43.11 cnf(p5977, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c313, p1509])).
% 233.17/43.11 fof(sdef192, definition, (spl192 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))) = vapp(sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl192])], [avatar_definition])).
% 233.17/43.11 cnf(ssp189, plain, (spl48 | spl192), inference(avatar_split_clause, [status(thm)], [p5977, sdef48, sdef192])).
% 233.17/43.11 cnf(p5981, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p2618])).
% 233.17/43.11 fof(sdef193, definition, (spl193 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl193])], [avatar_definition])).
% 233.17/43.11 cnf(ssp190, plain, (spl48 | spl193), inference(avatar_split_clause, [status(thm)], [p5981, sdef48, sdef193])).
% 233.17/43.11 cnf(p5986, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c313, p2758])).
% 233.17/43.11 fof(sdef194, definition, (spl194 <=> (sk74 = varrow(sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)) = vapp(sk71(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk72(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl194])], [avatar_definition])).
% 233.17/43.11 cnf(ssp191, plain, (spl48 | spl194), inference(avatar_split_clause, [status(thm)], [p5986, sdef48, sdef194])).
% 233.17/43.11 cnf(c314, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | X1 = varrow(sk69(X0,X1,X2),sk70(X0,X1,X2)) | vtcheck(X2,sk71(X0,X1,X2),varrow(sk73(X0,X1,X2),X1)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.11 cnf(p5995, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk71(vvar(sk75),sk74,vempty),varrow(sk73(vvar(sk75),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, c321])).
% 233.17/43.11 cnf(ssp192, plain, (spl23 | spl30 | spl48), inference(avatar_split_clause, [status(thm)], [p5995, sdef23, sdef30, sdef48])).
% 233.17/43.11 cnf(p5999, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1100])).
% 233.17/43.11 fof(sdef195, definition, (spl195 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl195])], [avatar_definition])).
% 233.17/43.11 cnf(ssp193, plain, (spl48 | spl195), inference(avatar_split_clause, [status(thm)], [p5999, sdef48, sdef195])).
% 233.17/43.11 cnf(p6003, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1101])).
% 233.17/43.11 fof(sdef196, definition, (spl196 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl196])], [avatar_definition])).
% 233.17/43.11 cnf(ssp194, plain, (spl48 | spl196), inference(avatar_split_clause, [status(thm)], [p6003, sdef48, sdef196])).
% 233.17/43.11 cnf(p6006, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1103])).
% 233.17/43.11 fof(sdef197, definition, (spl197 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl197])], [avatar_definition])).
% 233.17/43.11 cnf(ssp195, plain, (spl48 | spl197), inference(avatar_split_clause, [status(thm)], [p6006, sdef48, sdef197])).
% 233.17/43.11 cnf(p6015, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1107])).
% 233.17/43.11 fof(sdef198, definition, (spl198 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl198])], [avatar_definition])).
% 233.17/43.11 cnf(ssp196, plain, (spl48 | spl198), inference(avatar_split_clause, [status(thm)], [p6015, sdef48, sdef198])).
% 233.17/43.11 cnf(p6017, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1145])).
% 233.17/43.11 fof(sdef199, definition, (spl199 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl199])], [avatar_definition])).
% 233.17/43.11 cnf(ssp197, plain, (spl48 | spl199), inference(avatar_split_clause, [status(thm)], [p6017, sdef48, sdef199])).
% 233.17/43.11 cnf(p6023, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1176])).
% 233.17/43.11 fof(sdef200, definition, (spl200 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl200])], [avatar_definition])).
% 233.17/43.11 cnf(ssp198, plain, (spl48 | spl200), inference(avatar_split_clause, [status(thm)], [p6023, sdef48, sdef200])).
% 233.17/43.11 cnf(p6027, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1109])).
% 233.17/43.11 fof(sdef201, definition, (spl201 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl201])], [avatar_definition])).
% 233.17/43.11 cnf(ssp199, plain, (spl48 | spl201), inference(avatar_split_clause, [status(thm)], [p6027, sdef48, sdef201])).
% 233.17/43.11 cnf(p6029, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1112])).
% 233.17/43.11 fof(sdef202, definition, (spl202 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl202])], [avatar_definition])).
% 233.17/43.11 cnf(ssp200, plain, (spl48 | spl202), inference(avatar_split_clause, [status(thm)], [p6029, sdef48, sdef202])).
% 233.17/43.11 cnf(p6032, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1129])).
% 233.17/43.11 fof(sdef203, definition, (spl203 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl203])], [avatar_definition])).
% 233.17/43.11 cnf(ssp201, plain, (spl48 | spl203), inference(avatar_split_clause, [status(thm)], [p6032, sdef48, sdef203])).
% 233.17/43.11 cnf(p6035, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1146])).
% 233.17/43.11 fof(sdef204, definition, (spl204 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl204])], [avatar_definition])).
% 233.17/43.11 cnf(ssp202, plain, (spl48 | spl204), inference(avatar_split_clause, [status(thm)], [p6035, sdef48, sdef204])).
% 233.17/43.11 cnf(p6038, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1177])).
% 233.17/43.11 fof(sdef205, definition, (spl205 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl205])], [avatar_definition])).
% 233.17/43.11 cnf(ssp203, plain, (spl48 | spl205), inference(avatar_split_clause, [status(thm)], [p6038, sdef48, sdef205])).
% 233.17/43.11 cnf(p6041, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1114])).
% 233.17/43.11 fof(sdef206, definition, (spl206 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl206])], [avatar_definition])).
% 233.17/43.11 cnf(ssp204, plain, (spl48 | spl206), inference(avatar_split_clause, [status(thm)], [p6041, sdef48, sdef206])).
% 233.17/43.11 cnf(p6044, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1147])).
% 233.17/43.11 fof(sdef207, definition, (spl207 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl207])], [avatar_definition])).
% 233.17/43.11 cnf(ssp205, plain, (spl48 | spl207), inference(avatar_split_clause, [status(thm)], [p6044, sdef48, sdef207])).
% 233.17/43.11 cnf(p6046, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1156])).
% 233.17/43.11 fof(sdef208, definition, (spl208 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl208])], [avatar_definition])).
% 233.17/43.11 cnf(ssp206, plain, (spl48 | spl208), inference(avatar_split_clause, [status(thm)], [p6046, sdef48, sdef208])).
% 233.17/43.11 cnf(p6048, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1178])).
% 233.17/43.11 fof(sdef209, definition, (spl209 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl209])], [avatar_definition])).
% 233.17/43.11 cnf(ssp207, plain, (spl48 | spl209), inference(avatar_split_clause, [status(thm)], [p6048, sdef48, sdef209])).
% 233.17/43.11 cnf(p6050, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1191])).
% 233.17/43.11 fof(sdef210, definition, (spl210 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl210])], [avatar_definition])).
% 233.17/43.11 cnf(ssp208, plain, (spl48 | spl210), inference(avatar_split_clause, [status(thm)], [p6050, sdef48, sdef210])).
% 233.17/43.11 cnf(p6070, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1136])).
% 233.17/43.11 fof(sdef211, definition, (spl211 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl211])], [avatar_definition])).
% 233.17/43.11 cnf(ssp209, plain, (spl48 | spl211), inference(avatar_split_clause, [status(thm)], [p6070, sdef48, sdef211])).
% 233.17/43.11 cnf(p6074, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1406])).
% 233.17/43.11 fof(sdef212, definition, (spl212 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl212])], [avatar_definition])).
% 233.17/43.11 cnf(ssp210, plain, (spl48 | spl212), inference(avatar_split_clause, [status(thm)], [p6074, sdef48, sdef212])).
% 233.17/43.11 cnf(p6079, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1508])).
% 233.17/43.11 fof(sdef213, definition, (spl213 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl213])], [avatar_definition])).
% 233.17/43.11 cnf(ssp211, plain, (spl48 | spl213), inference(avatar_split_clause, [status(thm)], [p6079, sdef48, sdef213])).
% 233.17/43.11 cnf(p6099, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1143])).
% 233.17/43.11 fof(sdef214, definition, (spl214 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl214])], [avatar_definition])).
% 233.17/43.11 cnf(ssp212, plain, (spl48 | spl214), inference(avatar_split_clause, [status(thm)], [p6099, sdef48, sdef214])).
% 233.17/43.11 cnf(p6101, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1148])).
% 233.17/43.11 fof(sdef215, definition, (spl215 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl215])], [avatar_definition])).
% 233.17/43.11 cnf(ssp213, plain, (spl48 | spl215), inference(avatar_split_clause, [status(thm)], [p6101, sdef48, sdef215])).
% 233.17/43.11 cnf(p6103, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1163])).
% 233.17/43.11 fof(sdef216, definition, (spl216 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl216])], [avatar_definition])).
% 233.17/43.11 cnf(ssp214, plain, (spl48 | spl216), inference(avatar_split_clause, [status(thm)], [p6103, sdef48, sdef216])).
% 233.17/43.11 cnf(p6105, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1168])).
% 233.17/43.11 fof(sdef217, definition, (spl217 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl217])], [avatar_definition])).
% 233.17/43.11 cnf(ssp215, plain, (spl48 | spl217), inference(avatar_split_clause, [status(thm)], [p6105, sdef48, sdef217])).
% 233.17/43.11 cnf(p6107, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1173])).
% 233.17/43.11 fof(sdef218, definition, (spl218 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,varrow(X3,sk74),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl218])], [avatar_definition])).
% 233.17/43.11 cnf(ssp216, plain, (spl48 | spl218), inference(avatar_split_clause, [status(thm)], [p6107, sdef48, sdef218])).
% 233.17/43.11 cnf(p6109, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1179])).
% 233.17/43.11 fof(sdef219, definition, (spl219 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75))),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl219])], [avatar_definition])).
% 233.17/43.11 cnf(ssp217, plain, (spl48 | spl219), inference(avatar_split_clause, [status(thm)], [p6109, sdef48, sdef219])).
% 233.17/43.11 cnf(p6111, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1199])).
% 233.17/43.11 fof(sdef220, definition, (spl220 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vapp(vabs(X4,sk74,vabs(X5,X2,vvar(sk75))),vvar(sk75)))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl220])], [avatar_definition])).
% 233.17/43.11 cnf(ssp218, plain, (spl48 | spl220), inference(avatar_split_clause, [status(thm)], [p6111, sdef48, sdef220])).
% 233.17/43.11 cnf(p6113, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1931])).
% 233.17/43.11 fof(sdef221, definition, (spl221 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl221])], [avatar_definition])).
% 233.17/43.11 cnf(ssp219, plain, (spl48 | spl221), inference(avatar_split_clause, [status(thm)], [p6113, sdef48, sdef221])).
% 233.17/43.11 cnf(p6116, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p2004])).
% 233.17/43.11 fof(sdef222, definition, (spl222 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl222])], [avatar_definition])).
% 233.17/43.11 cnf(ssp220, plain, (spl48 | spl222), inference(avatar_split_clause, [status(thm)], [p6116, sdef48, sdef222])).
% 233.17/43.11 cnf(p6119, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p2079])).
% 233.17/43.11 fof(sdef223, definition, (spl223 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl223])], [avatar_definition])).
% 233.17/43.11 cnf(ssp221, plain, (spl48 | spl223), inference(avatar_split_clause, [status(thm)], [p6119, sdef48, sdef223])).
% 233.17/43.11 cnf(p6122, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p2156])).
% 233.17/43.11 fof(sdef224, definition, (spl224 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vabs(X0,sk74,vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl224])], [avatar_definition])).
% 233.17/43.11 cnf(ssp222, plain, (spl48 | spl224), inference(avatar_split_clause, [status(thm)], [p6122, sdef48, sdef224])).
% 233.17/43.11 cnf(p6126, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1321])).
% 233.17/43.11 fof(sdef225, definition, (spl225 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vapp(vabs(X3,sk74,vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl225])], [avatar_definition])).
% 233.17/43.11 cnf(ssp223, plain, (spl48 | spl225), inference(avatar_split_clause, [status(thm)], [p6126, sdef48, sdef225])).
% 233.17/43.11 cnf(p6137, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1407])).
% 233.17/43.11 fof(sdef226, definition, (spl226 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,varrow(X3,sk74),vvar(sk75)),vabs(X4,X3,vvar(sk75)))),vabs(X5,X1,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl226])], [avatar_definition])).
% 233.17/43.11 cnf(ssp224, plain, (spl48 | spl226), inference(avatar_split_clause, [status(thm)], [p6137, sdef48, sdef226])).
% 233.17/43.11 cnf(p6141, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p2456])).
% 233.17/43.11 fof(sdef227, definition, (spl227 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl227])], [avatar_definition])).
% 233.17/43.11 cnf(ssp225, plain, (spl48 | spl227), inference(avatar_split_clause, [status(thm)], [p6141, sdef48, sdef227])).
% 233.17/43.11 cnf(p6145, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p1509])).
% 233.17/43.11 fof(sdef228, definition, (spl228 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,varrow(X3,sk74),vvar(sk75))),vabs(X4,X1,vvar(sk75))),vabs(X5,X3,vvar(sk75))),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl228])], [avatar_definition])).
% 233.17/43.11 cnf(ssp226, plain, (spl48 | spl228), inference(avatar_split_clause, [status(thm)], [p6145, sdef48, sdef228])).
% 233.17/43.11 cnf(p6149, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p2618])).
% 233.17/43.11 fof(sdef229, definition, (spl229 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl229])], [avatar_definition])).
% 233.17/43.11 cnf(ssp227, plain, (spl48 | spl229), inference(avatar_split_clause, [status(thm)], [p6149, sdef48, sdef229])).
% 233.17/43.11 cnf(p6154, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c314, p2758])).
% 233.17/43.11 fof(sdef230, definition, (spl230 <=> (sk74 = varrow(sk69(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk71(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),varrow(sk73(vapp(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vabs(X2,sk74,vvar(sk75)))),vvar(sk75)),vvar(sk75)),vvar(sk75)),sk74,vempty),sk74)))), introduced(definition, [new_symbols(naming, [spl230])], [avatar_definition])).
% 233.17/43.11 cnf(ssp228, plain, (spl48 | spl230), inference(avatar_split_clause, [status(thm)], [p6154, sdef48, sdef230])).
% 233.17/43.11 cnf(p3909, plain, (sk75 = vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)) | ~spl26), inference(avatar_component_clause, [status(thm)], [sdef26])).
% 233.17/43.11 fof(f11, axiom, ! [VVar0,VExp0,Ve1,Vv,Ve2] : ( ( VVar0 = Vv & VExp0 = vapp(Ve1,Ve2) ) => ( ( ( visFreeVar(Vv,Ve1) | visFreeVar(Vv,Ve2) ) => visFreeVar(VVar0,VExp0) ) & ( visFreeVar(VVar0,VExp0) => ( visFreeVar(Vv,Ve1) | visFreeVar(Vv,Ve2) ) ) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', isFreeVar2)).
% 233.17/43.11 fof(f11_nnf, plain, ! [VVar0,VExp0,Ve1,Vv,Ve2] : (((VVar0 != Vv | VExp0 != vapp(Ve1,Ve2)) | (((~(visFreeVar(Vv,Ve1)) & ~(visFreeVar(Vv,Ve2))) | visFreeVar(VVar0,VExp0)) & (~(visFreeVar(VVar0,VExp0)) | (visFreeVar(Vv,Ve1) | visFreeVar(Vv,Ve2)))))), inference(nnf_transformation, [status(thm)], [f11])).
% 233.17/43.11 fof(f11_sk, plain, ! [VVar0,Vv,VExp0,Ve1,Ve2] : (((VVar0 != Vv | VExp0 != vapp(Ve1,Ve2)) | (((~(visFreeVar(Vv,Ve1)) & ~(visFreeVar(Vv,Ve2))) | visFreeVar(VVar0,VExp0)) & (~(visFreeVar(VVar0,VExp0)) | (visFreeVar(Vv,Ve1) | visFreeVar(Vv,Ve2)))))), inference(skolemisation, [status(esa)], [f11_nnf])).
% 233.17/43.11 cnf(c20, plain, X0 != X3 | X1 != vapp(X2,X4) | ~visFreeVar(X3,X2) | visFreeVar(X0,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 233.17/43.11 cnf(p374, plain, X0 != vapp(X1,X2) | ~visFreeVar(vapp(X1,X2),X1) | visFreeVar(X0,X0), inference(factoring, [status(thm)], [c20])).
% 233.17/43.11 cnf(p6202, plain, (~visFreeVar(vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)),sk71(sk75,sk74,vempty)) | visFreeVar(sk75,sk75) | ~spl26), inference(resolution, [status(thm)], [p3909, p374])).
% 233.17/43.11 fof(sdef231, definition, (spl231 <=> (~visFreeVar(vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)),sk71(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl231])], [avatar_definition])).
% 233.17/43.11 cnf(ssp229, plain, (~spl26 | spl34 | spl231), inference(avatar_split_clause, [status(thm)], [p6202, sdef34, sdef231])).
% 233.17/43.11 cnf(p6204, plain, (X0 != sk75 | ~visFreeVar(vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)),sk71(sk75,sk74,vempty)) | visFreeVar(X0,X0) | ~spl26), inference(superposition, [status(thm)], [p3909, p374])).
% 233.17/43.11 cnf(ssp230, plain, (~spl26 | spl21 | spl231), inference(avatar_split_clause, [status(thm)], [p6204, sdef21, sdef231])).
% 233.17/43.11 cnf(c21, plain, X0 != X3 | X1 != vapp(X2,X4) | ~visFreeVar(X3,X4) | visFreeVar(X0,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 233.17/43.11 cnf(p377, plain, X0 != vapp(X1,X2) | ~visFreeVar(vapp(X1,X2),X2) | visFreeVar(X0,X0), inference(factoring, [status(thm)], [c21])).
% 233.17/43.11 cnf(p6205, plain, (~visFreeVar(vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)),sk72(sk75,sk74,vempty)) | visFreeVar(sk75,sk75) | ~spl26), inference(resolution, [status(thm)], [p3909, p377])).
% 233.17/43.11 fof(sdef232, definition, (spl232 <=> (~visFreeVar(vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)),sk72(sk75,sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl232])], [avatar_definition])).
% 233.17/43.11 cnf(ssp231, plain, (~spl26 | spl34 | spl232), inference(avatar_split_clause, [status(thm)], [p6205, sdef34, sdef232])).
% 233.17/43.11 cnf(p6207, plain, (X0 != sk75 | ~visFreeVar(vapp(sk71(sk75,sk74,vempty),sk72(sk75,sk74,vempty)),sk72(sk75,sk74,vempty)) | visFreeVar(X0,X0) | ~spl26), inference(superposition, [status(thm)], [p3909, p377])).
% 233.17/43.11 cnf(ssp232, plain, (~spl26 | spl21 | spl232), inference(avatar_split_clause, [status(thm)], [p6207, sdef21, sdef232])).
% 233.17/43.11 cnf(c315, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | X1 = varrow(sk69(X0,X1,X2),sk70(X0,X1,X2)) | vtcheck(X2,sk72(X0,X1,X2),sk73(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.11 cnf(p6248, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk72(vvar(sk75),sk74,vempty),sk73(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c315, c321])).
% 233.17/43.11 cnf(ssp233, plain, (spl28 | spl30 | spl48), inference(avatar_split_clause, [status(thm)], [p6248, sdef28, sdef30, sdef48])).
% 233.17/43.11 cnf(p6252, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1100])).
% 233.17/43.11 fof(sdef233, definition, (spl233 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl233])], [avatar_definition])).
% 233.17/43.11 cnf(ssp234, plain, (spl48 | spl233), inference(avatar_split_clause, [status(thm)], [p6252, sdef48, sdef233])).
% 233.17/43.11 cnf(p6256, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1101])).
% 233.17/43.11 fof(sdef234, definition, (spl234 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl234])], [avatar_definition])).
% 233.17/43.11 cnf(ssp235, plain, (spl48 | spl234), inference(avatar_split_clause, [status(thm)], [p6256, sdef48, sdef234])).
% 233.17/43.11 cnf(p6259, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1103])).
% 233.17/43.11 fof(sdef235, definition, (spl235 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl235])], [avatar_definition])).
% 233.17/43.11 cnf(ssp236, plain, (spl48 | spl235), inference(avatar_split_clause, [status(thm)], [p6259, sdef48, sdef235])).
% 233.17/43.11 cnf(p6268, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1107])).
% 233.17/43.11 fof(sdef236, definition, (spl236 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl236])], [avatar_definition])).
% 233.17/43.11 cnf(ssp237, plain, (spl48 | spl236), inference(avatar_split_clause, [status(thm)], [p6268, sdef48, sdef236])).
% 233.17/43.11 cnf(p6270, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1145])).
% 233.17/43.11 fof(sdef237, definition, (spl237 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl237])], [avatar_definition])).
% 233.17/43.11 cnf(ssp238, plain, (spl48 | spl237), inference(avatar_split_clause, [status(thm)], [p6270, sdef48, sdef237])).
% 233.17/43.11 cnf(p6276, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1176])).
% 233.17/43.11 fof(sdef238, definition, (spl238 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl238])], [avatar_definition])).
% 233.17/43.11 cnf(ssp239, plain, (spl48 | spl238), inference(avatar_split_clause, [status(thm)], [p6276, sdef48, sdef238])).
% 233.17/43.11 cnf(p6280, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1109])).
% 233.17/43.11 fof(sdef239, definition, (spl239 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl239])], [avatar_definition])).
% 233.17/43.11 cnf(ssp240, plain, (spl48 | spl239), inference(avatar_split_clause, [status(thm)], [p6280, sdef48, sdef239])).
% 233.17/43.11 cnf(p6282, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1112])).
% 233.17/43.11 fof(sdef240, definition, (spl240 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl240])], [avatar_definition])).
% 233.17/43.11 cnf(ssp241, plain, (spl48 | spl240), inference(avatar_split_clause, [status(thm)], [p6282, sdef48, sdef240])).
% 233.17/43.11 cnf(p6285, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1129])).
% 233.17/43.11 fof(sdef241, definition, (spl241 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vapp(vabs(X2,sk74,vabs(X3,X1,vvar(sk75))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl241])], [avatar_definition])).
% 233.17/43.11 cnf(ssp242, plain, (spl48 | spl241), inference(avatar_split_clause, [status(thm)], [p6285, sdef48, sdef241])).
% 233.17/43.11 cnf(p6288, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1146])).
% 233.17/43.11 fof(sdef242, definition, (spl242 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vabs(X3,X1,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl242])], [avatar_definition])).
% 233.17/43.11 cnf(ssp243, plain, (spl48 | spl242), inference(avatar_split_clause, [status(thm)], [p6288, sdef48, sdef242])).
% 233.17/43.11 cnf(p6291, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1177])).
% 233.17/43.11 fof(sdef243, definition, (spl243 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,varrow(X2,sk74),vvar(sk75))),vvar(sk75)),vabs(X3,X2,vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl243])], [avatar_definition])).
% 233.17/43.11 cnf(ssp244, plain, (spl48 | spl243), inference(avatar_split_clause, [status(thm)], [p6291, sdef48, sdef243])).
% 233.17/43.11 cnf(p6294, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1114])).
% 233.17/43.11 fof(sdef244, definition, (spl244 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl244])], [avatar_definition])).
% 233.17/43.11 cnf(ssp245, plain, (spl48 | spl244), inference(avatar_split_clause, [status(thm)], [p6294, sdef48, sdef244])).
% 233.17/43.11 cnf(p6297, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1147])).
% 233.17/43.11 fof(sdef245, definition, (spl245 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,sk74,vvar(sk75)),vvar(sk75))),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl245])], [avatar_definition])).
% 233.17/43.11 cnf(ssp246, plain, (spl48 | spl245), inference(avatar_split_clause, [status(thm)], [p6297, sdef48, sdef245])).
% 233.17/43.11 cnf(p6299, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1156])).
% 233.17/43.11 fof(sdef246, definition, (spl246 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,sk74,vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl246])], [avatar_definition])).
% 233.17/43.11 cnf(ssp247, plain, (spl48 | spl246), inference(avatar_split_clause, [status(thm)], [p6299, sdef48, sdef246])).
% 233.17/43.11 cnf(p6301, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1178])).
% 233.17/43.11 fof(sdef247, definition, (spl247 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vapp(vabs(X0,sk74,vabs(X1,sk74,vvar(sk75))),vvar(sk75)),vapp(vabs(X2,sk74,vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl247])], [avatar_definition])).
% 233.17/43.11 cnf(ssp248, plain, (spl48 | spl247), inference(avatar_split_clause, [status(thm)], [p6301, sdef48, sdef247])).
% 233.17/43.11 cnf(p6303, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1191])).
% 233.17/43.11 fof(sdef248, definition, (spl248 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vapp(vabs(X1,sk74,vabs(X2,sk74,vvar(sk75))),vvar(sk75)),vvar(sk75))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl248])], [avatar_definition])).
% 233.17/43.11 cnf(ssp249, plain, (spl48 | spl248), inference(avatar_split_clause, [status(thm)], [p6303, sdef48, sdef248])).
% 233.17/43.11 cnf(p6323, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1136])).
% 233.17/43.11 fof(sdef249, definition, (spl249 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,varrow(X3,sk74))),vvar(sk75)),vabs(X4,X1,vabs(X5,X2,vabs(X6,X3,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl249])], [avatar_definition])).
% 233.17/43.11 cnf(ssp250, plain, (spl48 | spl249), inference(avatar_split_clause, [status(thm)], [p6323, sdef48, sdef249])).
% 233.17/43.11 cnf(p6327, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1406])).
% 233.17/43.11 fof(sdef250, definition, (spl250 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk70(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty),sk73(vapp(vabs(X0,sk74,vapp(vabs(X1,varrow(X2,sk74),vvar(sk75)),vabs(X3,X2,vvar(sk75)))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl250])], [avatar_definition])).
% 233.17/43.11 cnf(ssp251, plain, (spl48 | spl250), inference(avatar_split_clause, [status(thm)], [p6327, sdef48, sdef250])).
% 233.17/43.11 cnf(p6332, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1508])).
% 233.17/43.11 fof(sdef251, definition, (spl251 <=> (sk74 = varrow(sk69(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk70(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty),sk73(vapp(vapp(vabs(X0,varrow(X1,sk74),vabs(X2,sk74,vvar(sk75))),vabs(X3,X1,vvar(sk75))),vvar(sk75)),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl251])], [avatar_definition])).
% 233.17/43.11 cnf(ssp252, plain, (spl48 | spl251), inference(avatar_split_clause, [status(thm)], [p6332, sdef48, sdef251])).
% 233.17/43.11 cnf(p6352, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1143])).
% 233.17/43.11 fof(sdef252, definition, (spl252 <=> (sk74 = varrow(sk69(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,sk74,vvar(sk75)),vapp(vabs(X1,varrow(X2,varrow(X3,sk74)),vvar(sk75)),vabs(X4,X2,vabs(X5,X3,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl252])], [avatar_definition])).
% 233.17/43.11 cnf(ssp253, plain, (spl48 | spl252), inference(avatar_split_clause, [status(thm)], [p6352, sdef48, sdef252])).
% 233.17/43.11 cnf(p6354, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1148])).
% 233.17/43.11 fof(sdef253, definition, (spl253 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vapp(vabs(X3,sk74,vvar(sk75)),vvar(sk75))),vabs(X4,X1,vabs(X5,X2,vvar(sk75)))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl253])], [avatar_definition])).
% 233.17/43.11 cnf(ssp254, plain, (spl48 | spl253), inference(avatar_split_clause, [status(thm)], [p6354, sdef48, sdef253])).
% 233.17/43.11 cnf(p6356, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1163])).
% 233.17/43.11 fof(sdef254, definition, (spl254 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,sk74),vvar(sk75)),vabs(X2,X1,vapp(vabs(X3,varrow(X4,sk74),vvar(sk75)),vabs(X5,X4,vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl254])], [avatar_definition])).
% 233.17/43.11 cnf(ssp255, plain, (spl48 | spl254), inference(avatar_split_clause, [status(thm)], [p6356, sdef48, sdef254])).
% 233.17/43.11 cnf(p6358, plain, vnoType = vsomeType(sk74) | sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)), inference(resolution, [status(thm)], [c315, p1168])).
% 233.17/43.11 fof(sdef255, definition, (spl255 <=> (sk74 = varrow(sk69(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk70(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)) | vtcheck(vempty,sk72(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty),sk73(vapp(vabs(X0,varrow(X1,varrow(X2,sk74)),vvar(sk75)),vabs(X3,X1,vabs(X4,X2,vapp(vabs(X5,sk74,vvar(sk75)),vvar(sk75))))),sk74,vempty)))), introduced(definition, [new_symbols(naming, [spl255])], [avatar_definition])).
% 233.17/43.11 cnf(ssp256, plain, (spl48 | spl255), inference(avatar_split_clause, [status(thm)], [p6358, sdef48, sdef255])).
% 233.17/43.11 cnf(c316, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | vtcheck(vbind(sk67(X0,X1,X2),sk69(X0,X1,X2),X2),sk68(X0,X1,X2),sk70(X0,X1,X2)) | X0 = vapp(sk71(X0,X1,X2),sk72(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.11 cnf(p6398, plain, vnoType = vsomeType(sk74) | vtcheck(vbind(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),vempty),sk68(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vvar(sk75) = vapp(sk71(vvar(sk75),sk74,vempty),sk72(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c316, c321])).
% 233.17/43.11 cnf(ssp257, plain, (spl10 | spl40 | spl48), inference(avatar_split_clause, [status(thm)], [p6398, sdef10, sdef40, sdef48])).
% 233.17/43.11 cnf(c317, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | vtcheck(vbind(sk67(X0,X1,X2),sk69(X0,X1,X2),X2),sk68(X0,X1,X2),sk70(X0,X1,X2)) | vtcheck(X2,sk71(X0,X1,X2),varrow(sk73(X0,X1,X2),X1)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.11 cnf(p6528, plain, vnoType = vsomeType(sk74) | vtcheck(vbind(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),vempty),sk68(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk71(vvar(sk75),sk74,vempty),varrow(sk73(vvar(sk75),sk74,vempty),sk74)), inference(resolution, [status(thm)], [c317, c321])).
% 233.17/43.11 cnf(ssp258, plain, (spl23 | spl40 | spl48), inference(avatar_split_clause, [status(thm)], [p6528, sdef23, sdef40, sdef48])).
% 233.17/43.11 cnf(c318, plain, ~vtcheck(X2,X0,X1) | vlookup(sk66(X0,X1,X2),X2) = vsomeType(X1) | vtcheck(vbind(sk67(X0,X1,X2),sk69(X0,X1,X2),X2),sk68(X0,X1,X2),sk70(X0,X1,X2)) | vtcheck(X2,sk72(X0,X1,X2),sk73(X0,X1,X2)), inference(cnf_transformation, [status(esa)], [f53_sk])).
% 233.17/43.11 cnf(p6874, plain, vnoType = vsomeType(sk74) | vtcheck(vbind(sk67(vvar(sk75),sk74,vempty),sk69(vvar(sk75),sk74,vempty),vempty),sk68(vvar(sk75),sk74,vempty),sk70(vvar(sk75),sk74,vempty)) | vtcheck(vempty,sk72(vvar(sk75),sk74,vempty),sk73(vvar(sk75),sk74,vempty)), inference(resolution, [status(thm)], [c318, c321])).
% 233.17/43.11 cnf(ssp259, plain, (spl28 | spl40 | spl48), inference(avatar_split_clause, [status(thm)], [p6874, sdef28, sdef40, sdef48])).
% 233.17/43.11 cnf(sat_ref, plain, $false, inference(avatar_sat_refutation, [status(thm)], [ssp0, ssp1, ssp2, ssp3, ssp4, ssp5, ssp6, ssp7, ssp8, ssp9, ssp10, ssp11, ssp12, ssp13, ssp14, ssp15, ssp16, ssp17, ssp18, ssp19, ssp20, ssp21, ssp22, ssp23, ssp24, ssp25, ssp26, ssp27, ssp28, ssp29, ssp30, ssp31, ssp32, ssp33, ssp34, ssp35, ssp36, ssp37, ssp38, ssp39, ssp40, ssp41, ssp42, ssp43, ssp44, ssp45, ssp46, ssp47, ssp48, ssp49, ssp50, ssp51, ssp52, ssp53, ssp54, ssp55, ssp56, ssp57, ssp58, ssp59, ssp60, ssp61, ssp62, ssp63, ssp64, ssp65, ssp66, ssp67, ssp68, ssp69, ssp70, ssp71, ssp72, ssp73, ssp74, ssp75, ssp76, ssp77, ssp78, ssp79, ssp80, ssp81, ssp82, ssp83, ssp84, ssp85, ssp86, ssp87, ssp88, ssp89, ssp90, ssp91, ssp92, ssp93, ssp94, ssp95, ssp96, ssp97, ssp98, ssp99, ssp100, ssp101, ssp102, ssp103, ssp104, ssp105, ssp106, ssp107, ssp108, ssp109, ssp110, ssp111, ssp112, ssp113, ssp114, ssp115, ssp116, ssp117, ssp118, ssp119, ssp120, ssp121, ssp122, ssp123, ssp124, ssp125, ssp126, ssp127, ssp128, ssp129, ssp130, ssp131, ssp132, ssp133, ssp134, ssp135, ssp136, ssp137, ssp138, ssp139, ssp140, ssp141, ssp142, ssp143, ssp144, ssp145, ssp146, ssp147, ssp148, ssp149, ssp150, ssp151, ssp152, ssp153, ssp154, ssp155, ssp156, ssp157, ssp158, ssp159, ssp160, ssp161, ssp162, ssp163, ssp164, ssp165, ssp166, ssp167, ssp168, ssp169, ssp170, ssp171, ssp172, ssp173, ssp174, ssp175, ssp176, ssp177, ssp178, ssp179, ssp180, ssp181, ssp182, ssp183, ssp184, ssp185, ssp186, ssp187, ssp188, ssp189, ssp190, ssp191, ssp192, ssp193, ssp194, ssp195, ssp196, ssp197, ssp198, ssp199, ssp200, ssp201, ssp202, ssp203, ssp204, ssp205, ssp206, ssp207, ssp208, ssp209, ssp210, ssp211, ssp212, ssp213, ssp214, ssp215, ssp216, ssp217, ssp218, ssp219, ssp220, ssp221, ssp222, ssp223, ssp224, ssp225, ssp226, ssp227, ssp228, ssp229, ssp230, ssp231, ssp232, ssp233, ssp234, ssp235, ssp236, ssp237, ssp238, ssp239, ssp240, ssp241, ssp242, ssp243, ssp244, ssp245, ssp246, ssp247, ssp248, ssp249, ssp250, ssp251, ssp252, ssp253, ssp254, ssp255, ssp256, ssp257, ssp258, ssp259, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9, sct10, sct11, sct12, sct13, sct14, sct15, sct16])).
% 233.17/43.11 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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