TSTP Solution File: SWC122+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC122+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:48:07 EDT 2024
% Result : Theorem 2.01s 0.67s
% Output : Refutation 2.32s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f7308,plain,
$false,
inference(avatar_sat_refutation,[],[f651,f656,f671,f1543,f1547,f1633,f1705,f1709,f1724,f1728,f1748,f1752,f1767,f1771,f2006,f2010,f2197,f2452,f2456,f2523,f2527,f2934,f2943,f3045,f3050,f3252,f3257,f3419,f3424,f3481,f3626,f4002,f4182,f5151,f5156,f5422,f5426,f5599,f5603,f6078,f6215,f6220,f6233,f6415,f6419,f6992,f7048,f7051,f7061,f7070,f7073,f7307]) ).
fof(f7307,plain,
( spl69_2
| ~ spl69_27 ),
inference(avatar_contradiction_clause,[],[f7306]) ).
fof(f7306,plain,
( $false
| spl69_2
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f7305,f375]) ).
fof(f375,plain,
ssList(sK19),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( ( rearsegP(sK21,sK20)
& neq(sK20,nil) )
| ~ neq(sK21,nil) )
& ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& ( nil != sK21
| nil = sK20 )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f99,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& ( nil != X3
| nil = X2 )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,sK18)
| ~ neq(sK18,nil) )
& ( nil != X3
| nil = X2 )
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,sK18)
| ~ neq(sK18,nil) )
& ( nil != X3
| nil = X2 )
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& ( nil != X3
| nil = X2 )
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& ( nil != X3
| nil = X2 )
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( rearsegP(X3,sK20)
& neq(sK20,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& ( nil != X3
| nil = sK20 )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ( ( rearsegP(X3,sK20)
& neq(sK20,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& ( nil != X3
| nil = sK20 )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ( rearsegP(sK21,sK20)
& neq(sK20,nil) )
| ~ neq(sK21,nil) )
& ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& ( nil != sK21
| nil = sK20 )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& ( nil != X3
| nil = X2 )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& ( nil != X3
| nil = X2 )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ rearsegP(X3,X2)
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( segmentP(X1,X0)
& neq(X0,nil) )
| ( nil = X3
& nil != X2 )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ rearsegP(X3,X2)
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( segmentP(X1,X0)
& neq(X0,nil) )
| ( nil = X3
& nil != X2 )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f7305,plain,
( ~ ssList(sK19)
| spl69_2
| ~ spl69_27 ),
inference(forward_demodulation,[],[f7304,f688]) ).
fof(f688,plain,
sK19 = app(sK19,nil),
inference(resolution,[],[f455,f375]) ).
fof(f455,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f7304,plain,
( ~ ssList(app(sK19,nil))
| spl69_2
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f7303,f393]) ).
fof(f393,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f7303,plain,
( ~ ssList(app(sK19,nil))
| ~ ssList(nil)
| spl69_2
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f7296,f650]) ).
fof(f650,plain,
( ~ segmentP(sK19,sK18)
| spl69_2 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f648,plain,
( spl69_2
<=> segmentP(sK19,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).
fof(f7296,plain,
( segmentP(sK19,sK18)
| ~ ssList(app(sK19,nil))
| ~ ssList(nil)
| ~ spl69_27 ),
inference(superposition,[],[f7233,f688]) ).
fof(f7233,plain,
( ! [X0] :
( segmentP(app(sK19,X0),sK18)
| ~ ssList(app(sK19,X0))
| ~ ssList(X0) )
| ~ spl69_27 ),
inference(forward_demodulation,[],[f7232,f3026]) ).
fof(f3026,plain,
sK19 = app(sK66(sK19,sK18),sK18),
inference(subsumption_resolution,[],[f3025,f375]) ).
fof(f3025,plain,
( sK19 = app(sK66(sK19,sK18),sK18)
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f3013,f374]) ).
fof(f374,plain,
ssList(sK18),
inference(cnf_transformation,[],[f254]) ).
fof(f3013,plain,
( sK19 = app(sK66(sK19,sK18),sK18)
| ~ ssList(sK18)
| ~ ssList(sK19) ),
inference(resolution,[],[f582,f662]) ).
fof(f662,plain,
rearsegP(sK19,sK18),
inference(subsumption_resolution,[],[f661,f380]) ).
fof(f380,plain,
neq(sK19,nil),
inference(cnf_transformation,[],[f254]) ).
fof(f661,plain,
( ~ neq(sK19,nil)
| rearsegP(sK19,sK18) ),
inference(forward_demodulation,[],[f660,f378]) ).
fof(f378,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f660,plain,
( rearsegP(sK19,sK18)
| ~ neq(sK21,nil) ),
inference(forward_demodulation,[],[f659,f378]) ).
fof(f659,plain,
( rearsegP(sK21,sK18)
| ~ neq(sK21,nil) ),
inference(forward_demodulation,[],[f384,f379]) ).
fof(f379,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f384,plain,
( rearsegP(sK21,sK20)
| ~ neq(sK21,nil) ),
inference(cnf_transformation,[],[f254]) ).
fof(f582,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK66(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f366,f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7232,plain,
( ! [X0] :
( segmentP(app(sK19,X0),sK18)
| ~ ssList(X0)
| ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) )
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f7231,f374]) ).
fof(f7231,plain,
( ! [X0] :
( segmentP(app(sK19,X0),sK18)
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) )
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f7122,f3039]) ).
fof(f3039,plain,
( ssList(sK66(sK19,sK18))
| ~ spl69_27 ),
inference(avatar_component_clause,[],[f3038]) ).
fof(f3038,plain,
( spl69_27
<=> ssList(sK66(sK19,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).
fof(f7122,plain,
! [X0] :
( segmentP(app(sK19,X0),sK18)
| ~ ssList(X0)
| ~ ssList(sK66(sK19,sK18))
| ~ ssList(sK18)
| ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) ),
inference(superposition,[],[f625,f3026]) ).
fof(f625,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f580]) ).
fof(f580,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
& ssList(sK65(X0,X1))
& ssList(sK64(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f361,f363,f362]) ).
fof(f362,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK64(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK64(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK64(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
& ssList(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f361,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f360]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f7073,plain,
~ spl69_55,
inference(avatar_contradiction_clause,[],[f7072]) ).
fof(f7072,plain,
( $false
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7071,f393]) ).
fof(f7071,plain,
( ~ ssList(nil)
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7044,f599]) ).
fof(f599,plain,
ssItem(sK67),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
( sK67 != sK68
& ssItem(sK68)
& ssItem(sK67) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f2,f372,f371]) ).
fof(f371,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK67 != X1
& ssItem(X1) )
& ssItem(sK67) ) ),
introduced(choice_axiom,[]) ).
fof(f372,plain,
( ? [X1] :
( sK67 != X1
& ssItem(X1) )
=> ( sK67 != sK68
& ssItem(sK68) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f7044,plain,
( ~ ssItem(sK67)
| ~ ssList(nil)
| ~ spl69_55 ),
inference(trivial_inequality_removal,[],[f7032]) ).
fof(f7032,plain,
( nil != nil
| ~ ssItem(sK67)
| ~ ssList(nil)
| ~ spl69_55 ),
inference(superposition,[],[f557,f6987]) ).
fof(f6987,plain,
( nil = cons(sK67,nil)
| ~ spl69_55 ),
inference(avatar_component_clause,[],[f6985]) ).
fof(f6985,plain,
( spl69_55
<=> nil = cons(sK67,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_55])]) ).
fof(f557,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f7070,plain,
~ spl69_55,
inference(avatar_contradiction_clause,[],[f7069]) ).
fof(f7069,plain,
( $false
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7068,f393]) ).
fof(f7068,plain,
( ~ ssList(nil)
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7045,f599]) ).
fof(f7045,plain,
( ~ ssItem(sK67)
| ~ ssList(nil)
| ~ spl69_55 ),
inference(trivial_inequality_removal,[],[f7031]) ).
fof(f7031,plain,
( nil != nil
| ~ ssItem(sK67)
| ~ ssList(nil)
| ~ spl69_55 ),
inference(superposition,[],[f556,f6987]) ).
fof(f556,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f7061,plain,
( ~ spl69_19
| ~ spl69_55 ),
inference(avatar_contradiction_clause,[],[f7060]) ).
fof(f7060,plain,
( $false
| ~ spl69_19
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7059,f2446]) ).
fof(f2446,plain,
( ssList(cons(sK67,nil))
| ~ spl69_19 ),
inference(avatar_component_clause,[],[f2445]) ).
fof(f2445,plain,
( spl69_19
<=> ssList(cons(sK67,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).
fof(f7059,plain,
( ~ ssList(cons(sK67,nil))
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7058,f599]) ).
fof(f7058,plain,
( ~ ssItem(sK67)
| ~ ssList(cons(sK67,nil))
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7019,f385]) ).
fof(f385,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f7019,plain,
( singletonP(nil)
| ~ ssItem(sK67)
| ~ ssList(cons(sK67,nil))
| ~ spl69_55 ),
inference(superposition,[],[f610,f6987]) ).
fof(f610,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f469]) ).
fof(f469,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK26(X0),nil) = X0
& ssItem(sK26(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f282,f283]) ).
fof(f283,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK26(X0),nil) = X0
& ssItem(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f7051,plain,
( spl69_38
| ~ spl69_55 ),
inference(avatar_contradiction_clause,[],[f7050]) ).
fof(f7050,plain,
( $false
| spl69_38
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7049,f4000]) ).
fof(f4000,plain,
( sK19 != cons(sK67,sK19)
| spl69_38 ),
inference(avatar_component_clause,[],[f3999]) ).
fof(f3999,plain,
( spl69_38
<=> sK19 = cons(sK67,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_38])]) ).
fof(f7049,plain,
( sK19 = cons(sK67,sK19)
| ~ spl69_55 ),
inference(forward_demodulation,[],[f7005,f715]) ).
fof(f715,plain,
sK19 = app(nil,sK19),
inference(resolution,[],[f456,f375]) ).
fof(f456,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f7005,plain,
( app(nil,sK19) = cons(sK67,sK19)
| ~ spl69_55 ),
inference(superposition,[],[f3675,f6987]) ).
fof(f3675,plain,
cons(sK67,sK19) = app(cons(sK67,nil),sK19),
inference(resolution,[],[f1963,f599]) ).
fof(f1963,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK19) = app(cons(X0,nil),sK19) ),
inference(resolution,[],[f560,f375]) ).
fof(f560,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f7048,plain,
( spl69_24
| ~ spl69_55 ),
inference(avatar_contradiction_clause,[],[f7047]) ).
fof(f7047,plain,
( $false
| spl69_24
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f7046,f2932]) ).
fof(f2932,plain,
( sK18 != cons(sK67,sK18)
| spl69_24 ),
inference(avatar_component_clause,[],[f2931]) ).
fof(f2931,plain,
( spl69_24
<=> sK18 = cons(sK67,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).
fof(f7046,plain,
( sK18 = cons(sK67,sK18)
| ~ spl69_55 ),
inference(forward_demodulation,[],[f6995,f714]) ).
fof(f714,plain,
sK18 = app(nil,sK18),
inference(resolution,[],[f456,f374]) ).
fof(f6995,plain,
( app(nil,sK18) = cons(sK67,sK18)
| ~ spl69_55 ),
inference(superposition,[],[f2430,f6987]) ).
fof(f2430,plain,
cons(sK67,sK18) = app(cons(sK67,nil),sK18),
inference(resolution,[],[f1962,f599]) ).
fof(f1962,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK18) = app(cons(X0,nil),sK18) ),
inference(resolution,[],[f560,f374]) ).
fof(f6992,plain,
( spl69_55
| spl69_56
| ~ spl69_19 ),
inference(avatar_split_clause,[],[f2473,f2445,f6989,f6985]) ).
fof(f6989,plain,
( spl69_56
<=> sK67 = sK24(cons(sK67,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_56])]) ).
fof(f2473,plain,
( sK67 = sK24(cons(sK67,nil))
| nil = cons(sK67,nil)
| ~ spl69_19 ),
inference(forward_demodulation,[],[f2461,f1132]) ).
fof(f1132,plain,
sK67 = hd(cons(sK67,nil)),
inference(resolution,[],[f964,f599]) ).
fof(f964,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(resolution,[],[f559,f393]) ).
fof(f559,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f2461,plain,
( nil = cons(sK67,nil)
| hd(cons(sK67,nil)) = sK24(cons(sK67,nil))
| ~ spl69_19 ),
inference(resolution,[],[f2446,f464]) ).
fof(f464,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK24(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ( hd(X0) = sK24(X0)
& ssItem(sK24(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f157,f277]) ).
fof(f277,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK24(X0)
& ssItem(sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
fof(f6419,plain,
( spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51
| spl69_53 ),
inference(avatar_contradiction_clause,[],[f6418]) ).
fof(f6418,plain,
( $false
| spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51
| spl69_53 ),
inference(subsumption_resolution,[],[f6417,f375]) ).
fof(f6417,plain,
( ~ ssList(sK19)
| spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51
| spl69_53 ),
inference(subsumption_resolution,[],[f6416,f6286]) ).
fof(f6286,plain,
( singletonP(sK19)
| spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51 ),
inference(subsumption_resolution,[],[f6285,f5416]) ).
fof(f5416,plain,
( ssList(cons(hd(sK19),nil))
| ~ spl69_43 ),
inference(avatar_component_clause,[],[f5415]) ).
fof(f5415,plain,
( spl69_43
<=> ssList(cons(hd(sK19),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_43])]) ).
fof(f6285,plain,
( singletonP(sK19)
| ~ ssList(cons(hd(sK19),nil))
| spl69_3
| ~ spl69_9
| ~ spl69_51 ),
inference(subsumption_resolution,[],[f6261,f1718]) ).
fof(f1718,plain,
( ssItem(hd(sK19))
| ~ spl69_9 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1717,plain,
( spl69_9
<=> ssItem(hd(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).
fof(f6261,plain,
( singletonP(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(cons(hd(sK19),nil))
| spl69_3
| ~ spl69_51 ),
inference(superposition,[],[f610,f6234]) ).
fof(f6234,plain,
( sK19 = cons(hd(sK19),nil)
| spl69_3
| ~ spl69_51 ),
inference(superposition,[],[f1626,f6228]) ).
fof(f6228,plain,
( nil = tl(sK19)
| ~ spl69_51 ),
inference(avatar_component_clause,[],[f6226]) ).
fof(f6226,plain,
( spl69_51
<=> nil = tl(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_51])]) ).
fof(f1626,plain,
( sK19 = cons(hd(sK19),tl(sK19))
| spl69_3 ),
inference(subsumption_resolution,[],[f1594,f672]) ).
fof(f672,plain,
( nil != sK19
| spl69_3 ),
inference(superposition,[],[f666,f378]) ).
fof(f666,plain,
( nil != sK21
| spl69_3 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl69_3
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f1594,plain,
( nil = sK19
| sK19 = cons(hd(sK19),tl(sK19)) ),
inference(resolution,[],[f462,f375]) ).
fof(f462,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f6416,plain,
( ~ singletonP(sK19)
| ~ ssList(sK19)
| spl69_53 ),
inference(resolution,[],[f6410,f467]) ).
fof(f467,plain,
! [X0] :
( ssItem(sK26(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f6410,plain,
( ~ ssItem(sK26(sK19))
| spl69_53 ),
inference(avatar_component_clause,[],[f6408]) ).
fof(f6408,plain,
( spl69_53
<=> ssItem(sK26(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_53])]) ).
fof(f6415,plain,
( ~ spl69_53
| spl69_54
| spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51 ),
inference(avatar_split_clause,[],[f6395,f6226,f5415,f1717,f664,f6412,f6408]) ).
fof(f6412,plain,
( spl69_54
<=> memberP(sK19,sK26(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_54])]) ).
fof(f6395,plain,
( memberP(sK19,sK26(sK19))
| ~ ssItem(sK26(sK19))
| spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51 ),
inference(subsumption_resolution,[],[f6385,f393]) ).
fof(f6385,plain,
( memberP(sK19,sK26(sK19))
| ~ ssList(nil)
| ~ ssItem(sK26(sK19))
| spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51 ),
inference(superposition,[],[f633,f6352]) ).
fof(f6352,plain,
( sK19 = cons(sK26(sK19),nil)
| spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51 ),
inference(subsumption_resolution,[],[f6347,f375]) ).
fof(f6347,plain,
( sK19 = cons(sK26(sK19),nil)
| ~ ssList(sK19)
| spl69_3
| ~ spl69_9
| ~ spl69_43
| ~ spl69_51 ),
inference(resolution,[],[f6286,f468]) ).
fof(f468,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK26(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f633,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f604]) ).
fof(f604,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f425]) ).
fof(f425,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f6233,plain,
( spl69_51
| spl69_52
| spl69_3
| ~ spl69_7
| ~ spl69_9
| ~ spl69_15 ),
inference(avatar_split_clause,[],[f5323,f1999,f1717,f1698,f664,f6230,f6226]) ).
fof(f6230,plain,
( spl69_52
<=> hd(tl(sK19)) = sK24(tl(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_52])]) ).
fof(f1698,plain,
( spl69_7
<=> ssItem(sK23(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).
fof(f1999,plain,
( spl69_15
<=> ssList(sK22(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).
fof(f5323,plain,
( hd(tl(sK19)) = sK24(tl(sK19))
| nil = tl(sK19)
| spl69_3
| ~ spl69_7
| ~ spl69_9
| ~ spl69_15 ),
inference(forward_demodulation,[],[f5322,f2255]) ).
fof(f2255,plain,
( tl(sK19) = sK22(sK19)
| spl69_3
| ~ spl69_7
| ~ spl69_9
| ~ spl69_15 ),
inference(forward_demodulation,[],[f2232,f2060]) ).
fof(f2060,plain,
( sK19 = cons(hd(sK19),sK22(sK19))
| spl69_3
| ~ spl69_7
| ~ spl69_15 ),
inference(superposition,[],[f1509,f2057]) ).
fof(f2057,plain,
( hd(sK19) = sK23(sK19)
| spl69_3
| ~ spl69_7
| ~ spl69_15 ),
inference(forward_demodulation,[],[f2037,f1509]) ).
fof(f2037,plain,
( sK23(sK19) = hd(cons(sK23(sK19),sK22(sK19)))
| ~ spl69_7
| ~ spl69_15 ),
inference(resolution,[],[f2018,f1699]) ).
fof(f1699,plain,
( ssItem(sK23(sK19))
| ~ spl69_7 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f2018,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK22(sK19))) = X0 )
| ~ spl69_15 ),
inference(resolution,[],[f2000,f559]) ).
fof(f2000,plain,
( ssList(sK22(sK19))
| ~ spl69_15 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f1509,plain,
( sK19 = cons(sK23(sK19),sK22(sK19))
| spl69_3 ),
inference(subsumption_resolution,[],[f1476,f672]) ).
fof(f1476,plain,
( nil = sK19
| sK19 = cons(sK23(sK19),sK22(sK19)) ),
inference(resolution,[],[f459,f375]) ).
fof(f459,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK23(X0),sK22(X0)) = X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ( cons(sK23(X0),sK22(X0)) = X0
& ssItem(sK23(X0))
& ssList(sK22(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f149,f275,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK22(X0)) = X0
& ssItem(X2) )
& ssList(sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK22(X0)) = X0
& ssItem(X2) )
=> ( cons(sK23(X0),sK22(X0)) = X0
& ssItem(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f2232,plain,
( sK22(sK19) = tl(cons(hd(sK19),sK22(sK19)))
| ~ spl69_9
| ~ spl69_15 ),
inference(resolution,[],[f2017,f1718]) ).
fof(f2017,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK22(sK19) = tl(cons(X0,sK22(sK19))) )
| ~ spl69_15 ),
inference(resolution,[],[f2000,f558]) ).
fof(f558,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f5322,plain,
( nil = tl(sK19)
| hd(sK22(sK19)) = sK24(sK22(sK19))
| spl69_3
| ~ spl69_7
| ~ spl69_9
| ~ spl69_15 ),
inference(forward_demodulation,[],[f2015,f2255]) ).
fof(f2015,plain,
( nil = sK22(sK19)
| hd(sK22(sK19)) = sK24(sK22(sK19))
| ~ spl69_15 ),
inference(resolution,[],[f2000,f464]) ).
fof(f6220,plain,
( spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47
| spl69_49 ),
inference(avatar_contradiction_clause,[],[f6219]) ).
fof(f6219,plain,
( $false
| spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47
| spl69_49 ),
inference(subsumption_resolution,[],[f6218,f374]) ).
fof(f6218,plain,
( ~ ssList(sK18)
| spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47
| spl69_49 ),
inference(subsumption_resolution,[],[f6217,f6131]) ).
fof(f6131,plain,
( singletonP(sK18)
| spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47 ),
inference(subsumption_resolution,[],[f6130,f5593]) ).
fof(f5593,plain,
( ssList(cons(hd(sK18),nil))
| ~ spl69_45 ),
inference(avatar_component_clause,[],[f5592]) ).
fof(f5592,plain,
( spl69_45
<=> ssList(cons(hd(sK18),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_45])]) ).
fof(f6130,plain,
( singletonP(sK18)
| ~ ssList(cons(hd(sK18),nil))
| spl69_4
| ~ spl69_11
| ~ spl69_47 ),
inference(subsumption_resolution,[],[f6106,f1742]) ).
fof(f1742,plain,
( ssItem(hd(sK18))
| ~ spl69_11 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl69_11
<=> ssItem(hd(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).
fof(f6106,plain,
( singletonP(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(cons(hd(sK18),nil))
| spl69_4
| ~ spl69_47 ),
inference(superposition,[],[f610,f6079]) ).
fof(f6079,plain,
( sK18 = cons(hd(sK18),nil)
| spl69_4
| ~ spl69_47 ),
inference(superposition,[],[f1635,f6073]) ).
fof(f6073,plain,
( nil = tl(sK18)
| ~ spl69_47 ),
inference(avatar_component_clause,[],[f6071]) ).
fof(f6071,plain,
( spl69_47
<=> nil = tl(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_47])]) ).
fof(f1635,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f850,f1573,f810,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634]) ).
fof(f1634,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1627,f379]) ).
fof(f1627,plain,
( nil = sK18
| sK20 = cons(hd(sK20),tl(sK20)) ),
inference(forward_demodulation,[],[f1595,f379]) ).
fof(f1595,plain,
( nil = sK20
| sK20 = cons(hd(sK20),tl(sK20)) ),
inference(resolution,[],[f462,f376]) ).
fof(f1624,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f581]) ).
fof(f1623,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f578]) ).
fof(f1622,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f577]) ).
fof(f1621,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f574]) ).
fof(f1620,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK62(X0,X1) = cons(hd(sK62(X0,X1)),tl(sK62(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f562]) ).
fof(f1619,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK61(X0,X1) = cons(hd(sK61(X0,X1)),tl(sK61(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f561]) ).
fof(f1618,plain,
! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
| sP16(X0) ),
inference(resolution,[],[f462,f545]) ).
fof(f1617,plain,
! [X0] :
( nil = sK59(X0)
| sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
| sP16(X0) ),
inference(resolution,[],[f462,f544]) ).
fof(f1616,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
| sP16(X0) ),
inference(resolution,[],[f462,f543]) ).
fof(f1615,plain,
! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
| sP14(X0) ),
inference(resolution,[],[f462,f534]) ).
fof(f1614,plain,
! [X0] :
( nil = sK54(X0)
| sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
| sP14(X0) ),
inference(resolution,[],[f462,f533]) ).
fof(f1613,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
| sP14(X0) ),
inference(resolution,[],[f462,f532]) ).
fof(f1612,plain,
! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
| sP12(X0) ),
inference(resolution,[],[f462,f522]) ).
fof(f1611,plain,
! [X0] :
( nil = sK49(X0)
| sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
| sP12(X0) ),
inference(resolution,[],[f462,f521]) ).
fof(f1610,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
| sP12(X0) ),
inference(resolution,[],[f462,f520]) ).
fof(f1609,plain,
! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
| sP10(X0) ),
inference(resolution,[],[f462,f510]) ).
fof(f1608,plain,
! [X0] :
( nil = sK44(X0)
| sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
| sP10(X0) ),
inference(resolution,[],[f462,f509]) ).
fof(f1607,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
| sP10(X0) ),
inference(resolution,[],[f462,f508]) ).
fof(f1606,plain,
! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
| sP8(X0) ),
inference(resolution,[],[f462,f498]) ).
fof(f1605,plain,
! [X0] :
( nil = sK39(X0)
| sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
| sP8(X0) ),
inference(resolution,[],[f462,f497]) ).
fof(f1604,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
| sP8(X0) ),
inference(resolution,[],[f462,f496]) ).
fof(f1603,plain,
! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
| sP6(X0) ),
inference(resolution,[],[f462,f487]) ).
fof(f1602,plain,
! [X0] :
( nil = sK34(X0)
| sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
| sP6(X0) ),
inference(resolution,[],[f462,f486]) ).
fof(f1601,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
| sP6(X0) ),
inference(resolution,[],[f462,f485]) ).
fof(f1600,plain,
! [X0] :
( nil = sK30(X0)
| sK30(X0) = cons(hd(sK30(X0)),tl(sK30(X0)))
| sP4(X0) ),
inference(resolution,[],[f462,f476]) ).
fof(f1599,plain,
! [X0] :
( nil = sK29(X0)
| sK29(X0) = cons(hd(sK29(X0)),tl(sK29(X0)))
| sP4(X0) ),
inference(resolution,[],[f462,f475]) ).
fof(f1598,plain,
! [X0] :
( nil = sK25(X0)
| sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f462,f465]) ).
fof(f1597,plain,
! [X0] :
( nil = sK22(X0)
| sK22(X0) = cons(hd(sK22(X0)),tl(sK22(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f462,f457]) ).
fof(f1592,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f462,f461]) ).
fof(f1590,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f565]) ).
fof(f1625,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1589,f556]) ).
fof(f1589,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f462,f555]) ).
fof(f810,plain,
( nil = sK18
| hd(sK18) = sK24(sK18) ),
inference(resolution,[],[f464,f374]) ).
fof(f1573,plain,
( hd(sK18) = sK24(sK18)
| nil = sK18 ),
inference(forward_demodulation,[],[f839,f379]) ).
fof(f839,plain,
( nil = sK18
| hd(sK20) = sK24(sK20) ),
inference(forward_demodulation,[],[f812,f379]) ).
fof(f812,plain,
( nil = sK20
| hd(sK20) = sK24(sK20) ),
inference(resolution,[],[f464,f376]) ).
fof(f850,plain,
( nil = sK18
| tl(sK18) = sK25(sK18) ),
inference(resolution,[],[f466,f374]) ).
fof(f1570,plain,
( tl(sK18) = sK25(sK18)
| nil = sK18 ),
inference(forward_demodulation,[],[f879,f379]) ).
fof(f879,plain,
( nil = sK18
| tl(sK20) = sK25(sK20) ),
inference(forward_demodulation,[],[f852,f379]) ).
fof(f852,plain,
( nil = sK20
| tl(sK20) = sK25(sK20) ),
inference(resolution,[],[f466,f376]) ).
fof(f1172,plain,
( nil = sK18
| sK18 = tl(cons(hd(sK18),sK18)) ),
inference(resolution,[],[f918,f374]) ).
fof(f1567,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1207,f379]) ).
fof(f1207,plain,
( nil = sK18
| sK18 = tl(cons(hd(sK20),sK18)) ),
inference(forward_demodulation,[],[f1174,f379]) ).
fof(f1174,plain,
( nil = sK20
| sK18 = tl(cons(hd(sK20),sK18)) ),
inference(resolution,[],[f918,f376]) ).
fof(f1227,plain,
( nil = sK18
| sK18 = tl(cons(sK23(sK18),sK18)) ),
inference(resolution,[],[f919,f374]) ).
fof(f1564,plain,
( sK18 = tl(cons(sK23(sK18),sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1262,f379]) ).
fof(f1262,plain,
( nil = sK18
| sK18 = tl(cons(sK23(sK20),sK18)) ),
inference(forward_demodulation,[],[f1229,f379]) ).
fof(f1229,plain,
( nil = sK20
| sK18 = tl(cons(sK23(sK20),sK18)) ),
inference(resolution,[],[f919,f376]) ).
fof(f1273,plain,
( nil = sK18
| sK18 = tl(cons(sK24(sK18),sK18)) ),
inference(resolution,[],[f920,f374]) ).
fof(f1561,plain,
( sK18 = tl(cons(sK24(sK18),sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1310,f379]) ).
fof(f1310,plain,
( nil = sK18
| sK18 = tl(cons(sK24(sK20),sK18)) ),
inference(forward_demodulation,[],[f1275,f379]) ).
fof(f1275,plain,
( nil = sK20
| sK18 = tl(cons(sK24(sK20),sK18)) ),
inference(resolution,[],[f920,f376]) ).
fof(f1321,plain,
( nil = sK18
| sK19 = tl(cons(hd(sK18),sK19)) ),
inference(resolution,[],[f940,f374]) ).
fof(f1558,plain,
( sK19 = tl(cons(hd(sK18),sK19))
| nil = sK18 ),
inference(forward_demodulation,[],[f1356,f379]) ).
fof(f1356,plain,
( nil = sK18
| sK19 = tl(cons(hd(sK20),sK19)) ),
inference(forward_demodulation,[],[f1323,f379]) ).
fof(f1323,plain,
( nil = sK20
| sK19 = tl(cons(hd(sK20),sK19)) ),
inference(resolution,[],[f940,f376]) ).
fof(f1375,plain,
( nil = sK18
| sK19 = tl(cons(sK23(sK18),sK19)) ),
inference(resolution,[],[f941,f374]) ).
fof(f1555,plain,
( sK19 = tl(cons(sK23(sK18),sK19))
| nil = sK18 ),
inference(forward_demodulation,[],[f1410,f379]) ).
fof(f1410,plain,
( nil = sK18
| sK19 = tl(cons(sK23(sK20),sK19)) ),
inference(forward_demodulation,[],[f1377,f379]) ).
fof(f1377,plain,
( nil = sK20
| sK19 = tl(cons(sK23(sK20),sK19)) ),
inference(resolution,[],[f941,f376]) ).
fof(f1421,plain,
( nil = sK18
| sK19 = tl(cons(sK24(sK18),sK19)) ),
inference(resolution,[],[f942,f374]) ).
fof(f1552,plain,
( sK19 = tl(cons(sK24(sK18),sK19))
| nil = sK18 ),
inference(forward_demodulation,[],[f1458,f379]) ).
fof(f1458,plain,
( nil = sK18
| sK19 = tl(cons(sK24(sK20),sK19)) ),
inference(forward_demodulation,[],[f1423,f379]) ).
fof(f1423,plain,
( nil = sK20
| sK19 = tl(cons(sK24(sK20),sK19)) ),
inference(resolution,[],[f942,f376]) ).
fof(f1475,plain,
( nil = sK18
| sK18 = cons(sK23(sK18),sK22(sK18)) ),
inference(resolution,[],[f459,f374]) ).
fof(f1549,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1510,f379]) ).
fof(f1510,plain,
( nil = sK18
| sK20 = cons(sK23(sK20),sK22(sK20)) ),
inference(forward_demodulation,[],[f1477,f379]) ).
fof(f1477,plain,
( nil = sK20
| sK20 = cons(sK23(sK20),sK22(sK20)) ),
inference(resolution,[],[f459,f376]) ).
fof(f1524,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| spl69_4 ),
inference(subsumption_resolution,[],[f1523,f374]) ).
fof(f1523,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| ~ ssList(sK18)
| spl69_4 ),
inference(inner_rewriting,[],[f1521]) ).
fof(f1522,plain,
( memberP(sK18,sK23(sK18))
| ~ ssList(sK22(sK18))
| ~ ssItem(sK23(sK18))
| spl69_4 ),
inference(superposition,[],[f633,f1508]) ).
fof(f1521,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| ~ ssList(sK22(sK18))
| spl69_4 ),
inference(superposition,[],[f557,f1508]) ).
fof(f1518,plain,
( strictorderedP(sK18)
| ~ sP2(sK22(sK18),sK23(sK18))
| ~ sP3(sK23(sK18),sK22(sK18))
| spl69_4 ),
inference(superposition,[],[f439,f1508]) ).
fof(f1517,plain,
( ~ strictorderedP(sK18)
| sP2(sK22(sK18),sK23(sK18))
| ~ sP3(sK23(sK18),sK22(sK18))
| spl69_4 ),
inference(superposition,[],[f438,f1508]) ).
fof(f1516,plain,
( totalorderedP(sK18)
| ~ sP0(sK22(sK18),sK23(sK18))
| ~ sP1(sK23(sK18),sK22(sK18))
| spl69_4 ),
inference(superposition,[],[f431,f1508]) ).
fof(f1515,plain,
( ~ totalorderedP(sK18)
| sP0(sK22(sK18),sK23(sK18))
| ~ sP1(sK23(sK18),sK22(sK18))
| spl69_4 ),
inference(superposition,[],[f430,f1508]) ).
fof(f1508,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| spl69_4 ),
inference(subsumption_resolution,[],[f1475,f669]) ).
fof(f1506,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(sK23(sK66(X0,X1)),sK22(sK66(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f459,f581]) ).
fof(f1505,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(sK23(sK65(X0,X1)),sK22(sK65(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f459,f578]) ).
fof(f1504,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(sK23(sK64(X0,X1)),sK22(sK64(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f459,f577]) ).
fof(f1503,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(sK23(sK63(X0,X1)),sK22(sK63(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f459,f574]) ).
fof(f1502,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK62(X0,X1) = cons(sK23(sK62(X0,X1)),sK22(sK62(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f459,f562]) ).
fof(f1501,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK61(X0,X1) = cons(sK23(sK61(X0,X1)),sK22(sK61(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f459,f561]) ).
fof(f1500,plain,
! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(sK23(sK60(X0)),sK22(sK60(X0)))
| sP16(X0) ),
inference(resolution,[],[f459,f545]) ).
fof(f1499,plain,
! [X0] :
( nil = sK59(X0)
| sK59(X0) = cons(sK23(sK59(X0)),sK22(sK59(X0)))
| sP16(X0) ),
inference(resolution,[],[f459,f544]) ).
fof(f1498,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(sK23(sK58(X0)),sK22(sK58(X0)))
| sP16(X0) ),
inference(resolution,[],[f459,f543]) ).
fof(f1497,plain,
! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(sK23(sK55(X0)),sK22(sK55(X0)))
| sP14(X0) ),
inference(resolution,[],[f459,f534]) ).
fof(f1496,plain,
! [X0] :
( nil = sK54(X0)
| sK54(X0) = cons(sK23(sK54(X0)),sK22(sK54(X0)))
| sP14(X0) ),
inference(resolution,[],[f459,f533]) ).
fof(f1495,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(sK23(sK53(X0)),sK22(sK53(X0)))
| sP14(X0) ),
inference(resolution,[],[f459,f532]) ).
fof(f1494,plain,
! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(sK23(sK50(X0)),sK22(sK50(X0)))
| sP12(X0) ),
inference(resolution,[],[f459,f522]) ).
fof(f1493,plain,
! [X0] :
( nil = sK49(X0)
| sK49(X0) = cons(sK23(sK49(X0)),sK22(sK49(X0)))
| sP12(X0) ),
inference(resolution,[],[f459,f521]) ).
fof(f1492,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(sK23(sK48(X0)),sK22(sK48(X0)))
| sP12(X0) ),
inference(resolution,[],[f459,f520]) ).
fof(f1491,plain,
! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(sK23(sK45(X0)),sK22(sK45(X0)))
| sP10(X0) ),
inference(resolution,[],[f459,f510]) ).
fof(f1490,plain,
! [X0] :
( nil = sK44(X0)
| sK44(X0) = cons(sK23(sK44(X0)),sK22(sK44(X0)))
| sP10(X0) ),
inference(resolution,[],[f459,f509]) ).
fof(f1489,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(sK23(sK43(X0)),sK22(sK43(X0)))
| sP10(X0) ),
inference(resolution,[],[f459,f508]) ).
fof(f1488,plain,
! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(sK23(sK40(X0)),sK22(sK40(X0)))
| sP8(X0) ),
inference(resolution,[],[f459,f498]) ).
fof(f1487,plain,
! [X0] :
( nil = sK39(X0)
| sK39(X0) = cons(sK23(sK39(X0)),sK22(sK39(X0)))
| sP8(X0) ),
inference(resolution,[],[f459,f497]) ).
fof(f1486,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(sK23(sK38(X0)),sK22(sK38(X0)))
| sP8(X0) ),
inference(resolution,[],[f459,f496]) ).
fof(f1485,plain,
! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(sK23(sK35(X0)),sK22(sK35(X0)))
| sP6(X0) ),
inference(resolution,[],[f459,f487]) ).
fof(f1484,plain,
! [X0] :
( nil = sK34(X0)
| sK34(X0) = cons(sK23(sK34(X0)),sK22(sK34(X0)))
| sP6(X0) ),
inference(resolution,[],[f459,f486]) ).
fof(f1483,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(sK23(sK33(X0)),sK22(sK33(X0)))
| sP6(X0) ),
inference(resolution,[],[f459,f485]) ).
fof(f1482,plain,
! [X0] :
( nil = sK30(X0)
| sK30(X0) = cons(sK23(sK30(X0)),sK22(sK30(X0)))
| sP4(X0) ),
inference(resolution,[],[f459,f476]) ).
fof(f1481,plain,
! [X0] :
( nil = sK29(X0)
| sK29(X0) = cons(sK23(sK29(X0)),sK22(sK29(X0)))
| sP4(X0) ),
inference(resolution,[],[f459,f475]) ).
fof(f1480,plain,
! [X0] :
( nil = sK25(X0)
| sK25(X0) = cons(sK23(sK25(X0)),sK22(sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f459,f465]) ).
fof(f1479,plain,
! [X0] :
( nil = sK22(X0)
| sK22(X0) = cons(sK23(sK22(X0)),sK22(sK22(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f459,f457]) ).
fof(f1512,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| spl69_4 ),
inference(forward_demodulation,[],[f1511,f379]) ).
fof(f1511,plain,
( sK20 = cons(sK23(sK20),sK22(sK20))
| spl69_4 ),
inference(subsumption_resolution,[],[f1510,f669]) ).
fof(f1474,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(sK23(tl(X0)),sK22(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f459,f461]) ).
fof(f1472,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(sK23(app(X0,X1)),sK22(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f459,f565]) ).
fof(f1507,plain,
! [X0,X1] :
( cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1471,f556]) ).
fof(f1471,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f459,f555]) ).
fof(f1470,plain,
! [X0,X1] :
( sK52(cons(X0,X1)) = hd(cons(sK52(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1073,f430]) ).
fof(f1073,plain,
! [X0] :
( totalorderedP(X0)
| sK52(X0) = hd(cons(sK52(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f1009,f679]) ).
fof(f1469,plain,
! [X0,X1] :
( sK51(cons(X0,X1)) = hd(cons(sK51(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1072,f430]) ).
fof(f1072,plain,
! [X0] :
( totalorderedP(X0)
| sK51(X0) = hd(cons(sK51(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f1008,f679]) ).
fof(f1468,plain,
! [X0] :
( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK19))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1467]) ).
fof(f1467,plain,
! [X0] :
( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK19))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f1023,f610]) ).
fof(f1023,plain,
! [X0] :
( ~ singletonP(X0)
| sK26(X0) = hd(cons(sK26(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f967,f467]) ).
fof(f1466,plain,
! [X0] :
( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1465]) ).
fof(f1465,plain,
! [X0] :
( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f997,f610]) ).
fof(f997,plain,
! [X0] :
( ~ singletonP(X0)
| sK26(X0) = hd(cons(sK26(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f966,f467]) ).
fof(f1452,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK19 = tl(cons(sK24(sK66(X0,X1)),sK19))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f942,f581]) ).
fof(f1451,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK19 = tl(cons(sK24(sK65(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f942,f578]) ).
fof(f1450,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK19 = tl(cons(sK24(sK64(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f942,f577]) ).
fof(f1449,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK19 = tl(cons(sK24(sK63(X0,X1)),sK19))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f942,f574]) ).
fof(f1448,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK19 = tl(cons(sK24(sK62(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f942,f562]) ).
fof(f1447,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK19 = tl(cons(sK24(sK61(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f942,f561]) ).
fof(f1446,plain,
! [X0] :
( nil = sK60(X0)
| sK19 = tl(cons(sK24(sK60(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f942,f545]) ).
fof(f1445,plain,
! [X0] :
( nil = sK59(X0)
| sK19 = tl(cons(sK24(sK59(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f942,f544]) ).
fof(f1444,plain,
! [X0] :
( nil = sK58(X0)
| sK19 = tl(cons(sK24(sK58(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f942,f543]) ).
fof(f1443,plain,
! [X0] :
( nil = sK55(X0)
| sK19 = tl(cons(sK24(sK55(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f942,f534]) ).
fof(f1442,plain,
! [X0] :
( nil = sK54(X0)
| sK19 = tl(cons(sK24(sK54(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f942,f533]) ).
fof(f1441,plain,
! [X0] :
( nil = sK53(X0)
| sK19 = tl(cons(sK24(sK53(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f942,f532]) ).
fof(f1440,plain,
! [X0] :
( nil = sK50(X0)
| sK19 = tl(cons(sK24(sK50(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f942,f522]) ).
fof(f1439,plain,
! [X0] :
( nil = sK49(X0)
| sK19 = tl(cons(sK24(sK49(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f942,f521]) ).
fof(f1438,plain,
! [X0] :
( nil = sK48(X0)
| sK19 = tl(cons(sK24(sK48(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f942,f520]) ).
fof(f1437,plain,
! [X0] :
( nil = sK45(X0)
| sK19 = tl(cons(sK24(sK45(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f942,f510]) ).
fof(f1436,plain,
! [X0] :
( nil = sK44(X0)
| sK19 = tl(cons(sK24(sK44(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f942,f509]) ).
fof(f1435,plain,
! [X0] :
( nil = sK43(X0)
| sK19 = tl(cons(sK24(sK43(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f942,f508]) ).
fof(f1434,plain,
! [X0] :
( nil = sK40(X0)
| sK19 = tl(cons(sK24(sK40(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f942,f498]) ).
fof(f1433,plain,
! [X0] :
( nil = sK39(X0)
| sK19 = tl(cons(sK24(sK39(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f942,f497]) ).
fof(f1432,plain,
! [X0] :
( nil = sK38(X0)
| sK19 = tl(cons(sK24(sK38(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f942,f496]) ).
fof(f1431,plain,
! [X0] :
( nil = sK35(X0)
| sK19 = tl(cons(sK24(sK35(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f942,f487]) ).
fof(f1430,plain,
! [X0] :
( nil = sK34(X0)
| sK19 = tl(cons(sK24(sK34(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f942,f486]) ).
fof(f1429,plain,
! [X0] :
( nil = sK33(X0)
| sK19 = tl(cons(sK24(sK33(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f942,f485]) ).
fof(f1428,plain,
! [X0] :
( nil = sK30(X0)
| sK19 = tl(cons(sK24(sK30(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f942,f476]) ).
fof(f1427,plain,
! [X0] :
( nil = sK29(X0)
| sK19 = tl(cons(sK24(sK29(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f942,f475]) ).
fof(f1426,plain,
! [X0] :
( nil = sK25(X0)
| sK19 = tl(cons(sK24(sK25(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f942,f465]) ).
fof(f1425,plain,
! [X0] :
( nil = sK22(X0)
| sK19 = tl(cons(sK24(sK22(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f942,f457]) ).
fof(f1420,plain,
! [X0] :
( nil = tl(X0)
| sK19 = tl(cons(sK24(tl(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f942,f461]) ).
fof(f1418,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK19 = tl(cons(sK24(app(X0,X1)),sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f942,f565]) ).
fof(f1453,plain,
! [X0,X1] :
( sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1417,f556]) ).
fof(f1417,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f942,f555]) ).
fof(f942,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK19 = tl(cons(sK24(X0),sK19)) ),
inference(resolution,[],[f891,f463]) ).
fof(f1408,plain,
( sK19 = tl(cons(sK23(sK18),sK19))
| spl69_4 ),
inference(subsumption_resolution,[],[f1375,f669]) ).
fof(f1406,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK19 = tl(cons(sK23(sK66(X0,X1)),sK19))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f941,f581]) ).
fof(f1405,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK19 = tl(cons(sK23(sK65(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f941,f578]) ).
fof(f1404,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK19 = tl(cons(sK23(sK64(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f941,f577]) ).
fof(f1403,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK19 = tl(cons(sK23(sK63(X0,X1)),sK19))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f941,f574]) ).
fof(f1402,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK19 = tl(cons(sK23(sK62(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f941,f562]) ).
fof(f1401,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK19 = tl(cons(sK23(sK61(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f941,f561]) ).
fof(f1400,plain,
! [X0] :
( nil = sK60(X0)
| sK19 = tl(cons(sK23(sK60(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f941,f545]) ).
fof(f1399,plain,
! [X0] :
( nil = sK59(X0)
| sK19 = tl(cons(sK23(sK59(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f941,f544]) ).
fof(f1398,plain,
! [X0] :
( nil = sK58(X0)
| sK19 = tl(cons(sK23(sK58(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f941,f543]) ).
fof(f1397,plain,
! [X0] :
( nil = sK55(X0)
| sK19 = tl(cons(sK23(sK55(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f941,f534]) ).
fof(f1396,plain,
! [X0] :
( nil = sK54(X0)
| sK19 = tl(cons(sK23(sK54(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f941,f533]) ).
fof(f1395,plain,
! [X0] :
( nil = sK53(X0)
| sK19 = tl(cons(sK23(sK53(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f941,f532]) ).
fof(f1394,plain,
! [X0] :
( nil = sK50(X0)
| sK19 = tl(cons(sK23(sK50(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f941,f522]) ).
fof(f1393,plain,
! [X0] :
( nil = sK49(X0)
| sK19 = tl(cons(sK23(sK49(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f941,f521]) ).
fof(f1392,plain,
! [X0] :
( nil = sK48(X0)
| sK19 = tl(cons(sK23(sK48(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f941,f520]) ).
fof(f1391,plain,
! [X0] :
( nil = sK45(X0)
| sK19 = tl(cons(sK23(sK45(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f941,f510]) ).
fof(f1390,plain,
! [X0] :
( nil = sK44(X0)
| sK19 = tl(cons(sK23(sK44(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f941,f509]) ).
fof(f1389,plain,
! [X0] :
( nil = sK43(X0)
| sK19 = tl(cons(sK23(sK43(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f941,f508]) ).
fof(f1388,plain,
! [X0] :
( nil = sK40(X0)
| sK19 = tl(cons(sK23(sK40(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f941,f498]) ).
fof(f1387,plain,
! [X0] :
( nil = sK39(X0)
| sK19 = tl(cons(sK23(sK39(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f941,f497]) ).
fof(f1386,plain,
! [X0] :
( nil = sK38(X0)
| sK19 = tl(cons(sK23(sK38(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f941,f496]) ).
fof(f1385,plain,
! [X0] :
( nil = sK35(X0)
| sK19 = tl(cons(sK23(sK35(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f941,f487]) ).
fof(f1384,plain,
! [X0] :
( nil = sK34(X0)
| sK19 = tl(cons(sK23(sK34(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f941,f486]) ).
fof(f1383,plain,
! [X0] :
( nil = sK33(X0)
| sK19 = tl(cons(sK23(sK33(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f941,f485]) ).
fof(f1382,plain,
! [X0] :
( nil = sK30(X0)
| sK19 = tl(cons(sK23(sK30(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f941,f476]) ).
fof(f1381,plain,
! [X0] :
( nil = sK29(X0)
| sK19 = tl(cons(sK23(sK29(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f941,f475]) ).
fof(f1380,plain,
! [X0] :
( nil = sK25(X0)
| sK19 = tl(cons(sK23(sK25(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f941,f465]) ).
fof(f1379,plain,
! [X0] :
( nil = sK22(X0)
| sK19 = tl(cons(sK23(sK22(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f941,f457]) ).
fof(f1412,plain,
( sK19 = tl(cons(sK23(sK18),sK19))
| spl69_4 ),
inference(forward_demodulation,[],[f1411,f379]) ).
fof(f1411,plain,
( sK19 = tl(cons(sK23(sK20),sK19))
| spl69_4 ),
inference(subsumption_resolution,[],[f1410,f669]) ).
fof(f1374,plain,
! [X0] :
( nil = tl(X0)
| sK19 = tl(cons(sK23(tl(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f941,f461]) ).
fof(f1372,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK19 = tl(cons(sK23(app(X0,X1)),sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f941,f565]) ).
fof(f1407,plain,
! [X0,X1] :
( sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1371,f556]) ).
fof(f1371,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f941,f555]) ).
fof(f941,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK19 = tl(cons(sK23(X0),sK19)) ),
inference(resolution,[],[f891,f458]) ).
fof(f1369,plain,
! [X0] :
( ~ lt(X0,sK68)
| sP2(cons(sK68,nil),X0)
| ~ strictorderedP(cons(sK68,nil))
| nil = cons(sK68,nil) ),
inference(superposition,[],[f444,f1133]) ).
fof(f1368,plain,
! [X0] :
( ~ lt(X0,sK67)
| sP2(cons(sK67,nil),X0)
| ~ strictorderedP(cons(sK67,nil))
| nil = cons(sK67,nil) ),
inference(superposition,[],[f444,f1132]) ).
fof(f1367,plain,
! [X0] :
( ~ lt(X0,sK68)
| sP2(cons(sK68,sK19),X0)
| ~ strictorderedP(cons(sK68,sK19))
| nil = cons(sK68,sK19) ),
inference(superposition,[],[f444,f1039]) ).
fof(f1366,plain,
! [X0] :
( ~ lt(X0,sK67)
| sP2(cons(sK67,sK19),X0)
| ~ strictorderedP(cons(sK67,sK19))
| nil = cons(sK67,sK19) ),
inference(superposition,[],[f444,f1038]) ).
fof(f1365,plain,
! [X0] :
( ~ lt(X0,sK68)
| sP2(cons(sK68,sK18),X0)
| ~ strictorderedP(cons(sK68,sK18))
| nil = cons(sK68,sK18) ),
inference(superposition,[],[f444,f1013]) ).
fof(f1364,plain,
! [X0] :
( ~ lt(X0,sK67)
| sP2(cons(sK67,sK18),X0)
| ~ strictorderedP(cons(sK67,sK18))
| nil = cons(sK67,sK18) ),
inference(superposition,[],[f444,f1012]) ).
fof(f444,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP2(X0,X1)
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1354,plain,
( sK19 = tl(cons(hd(sK18),sK19))
| spl69_4 ),
inference(subsumption_resolution,[],[f1321,f669]) ).
fof(f1352,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK19 = tl(cons(hd(sK66(X0,X1)),sK19))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f940,f581]) ).
fof(f1351,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK19 = tl(cons(hd(sK65(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f940,f578]) ).
fof(f1350,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK19 = tl(cons(hd(sK64(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f940,f577]) ).
fof(f1349,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK19 = tl(cons(hd(sK63(X0,X1)),sK19))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f940,f574]) ).
fof(f1348,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK19 = tl(cons(hd(sK62(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f940,f562]) ).
fof(f1347,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK19 = tl(cons(hd(sK61(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f940,f561]) ).
fof(f1346,plain,
! [X0] :
( nil = sK60(X0)
| sK19 = tl(cons(hd(sK60(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f940,f545]) ).
fof(f1345,plain,
! [X0] :
( nil = sK59(X0)
| sK19 = tl(cons(hd(sK59(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f940,f544]) ).
fof(f1344,plain,
! [X0] :
( nil = sK58(X0)
| sK19 = tl(cons(hd(sK58(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f940,f543]) ).
fof(f1343,plain,
! [X0] :
( nil = sK55(X0)
| sK19 = tl(cons(hd(sK55(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f940,f534]) ).
fof(f1342,plain,
! [X0] :
( nil = sK54(X0)
| sK19 = tl(cons(hd(sK54(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f940,f533]) ).
fof(f1341,plain,
! [X0] :
( nil = sK53(X0)
| sK19 = tl(cons(hd(sK53(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f940,f532]) ).
fof(f1340,plain,
! [X0] :
( nil = sK50(X0)
| sK19 = tl(cons(hd(sK50(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f940,f522]) ).
fof(f1339,plain,
! [X0] :
( nil = sK49(X0)
| sK19 = tl(cons(hd(sK49(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f940,f521]) ).
fof(f1338,plain,
! [X0] :
( nil = sK48(X0)
| sK19 = tl(cons(hd(sK48(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f940,f520]) ).
fof(f1337,plain,
! [X0] :
( nil = sK45(X0)
| sK19 = tl(cons(hd(sK45(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f940,f510]) ).
fof(f1336,plain,
! [X0] :
( nil = sK44(X0)
| sK19 = tl(cons(hd(sK44(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f940,f509]) ).
fof(f1335,plain,
! [X0] :
( nil = sK43(X0)
| sK19 = tl(cons(hd(sK43(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f940,f508]) ).
fof(f1334,plain,
! [X0] :
( nil = sK40(X0)
| sK19 = tl(cons(hd(sK40(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f940,f498]) ).
fof(f1333,plain,
! [X0] :
( nil = sK39(X0)
| sK19 = tl(cons(hd(sK39(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f940,f497]) ).
fof(f1332,plain,
! [X0] :
( nil = sK38(X0)
| sK19 = tl(cons(hd(sK38(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f940,f496]) ).
fof(f1331,plain,
! [X0] :
( nil = sK35(X0)
| sK19 = tl(cons(hd(sK35(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f940,f487]) ).
fof(f1330,plain,
! [X0] :
( nil = sK34(X0)
| sK19 = tl(cons(hd(sK34(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f940,f486]) ).
fof(f1329,plain,
! [X0] :
( nil = sK33(X0)
| sK19 = tl(cons(hd(sK33(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f940,f485]) ).
fof(f1328,plain,
! [X0] :
( nil = sK30(X0)
| sK19 = tl(cons(hd(sK30(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f940,f476]) ).
fof(f1327,plain,
! [X0] :
( nil = sK29(X0)
| sK19 = tl(cons(hd(sK29(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f940,f475]) ).
fof(f1326,plain,
! [X0] :
( nil = sK25(X0)
| sK19 = tl(cons(hd(sK25(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f940,f465]) ).
fof(f1325,plain,
! [X0] :
( nil = sK22(X0)
| sK19 = tl(cons(hd(sK22(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f940,f457]) ).
fof(f1358,plain,
( sK19 = tl(cons(hd(sK18),sK19))
| spl69_4 ),
inference(forward_demodulation,[],[f1357,f379]) ).
fof(f1357,plain,
( sK19 = tl(cons(hd(sK20),sK19))
| spl69_4 ),
inference(subsumption_resolution,[],[f1356,f669]) ).
fof(f1320,plain,
! [X0] :
( nil = tl(X0)
| sK19 = tl(cons(hd(tl(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f940,f461]) ).
fof(f1318,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK19 = tl(cons(hd(app(X0,X1)),sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f940,f565]) ).
fof(f1353,plain,
! [X0,X1] :
( sK19 = tl(cons(hd(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1317,f556]) ).
fof(f1317,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK19 = tl(cons(hd(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f940,f555]) ).
fof(f940,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK19 = tl(cons(hd(X0),sK19)) ),
inference(resolution,[],[f891,f460]) ).
fof(f1304,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK18 = tl(cons(sK24(sK66(X0,X1)),sK18))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f920,f581]) ).
fof(f1303,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK18 = tl(cons(sK24(sK65(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f920,f578]) ).
fof(f1302,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK18 = tl(cons(sK24(sK64(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f920,f577]) ).
fof(f1301,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK18 = tl(cons(sK24(sK63(X0,X1)),sK18))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f920,f574]) ).
fof(f1300,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK18 = tl(cons(sK24(sK62(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f920,f562]) ).
fof(f1299,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK18 = tl(cons(sK24(sK61(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f920,f561]) ).
fof(f1298,plain,
! [X0] :
( nil = sK60(X0)
| sK18 = tl(cons(sK24(sK60(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f920,f545]) ).
fof(f1297,plain,
! [X0] :
( nil = sK59(X0)
| sK18 = tl(cons(sK24(sK59(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f920,f544]) ).
fof(f1296,plain,
! [X0] :
( nil = sK58(X0)
| sK18 = tl(cons(sK24(sK58(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f920,f543]) ).
fof(f1295,plain,
! [X0] :
( nil = sK55(X0)
| sK18 = tl(cons(sK24(sK55(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f920,f534]) ).
fof(f1294,plain,
! [X0] :
( nil = sK54(X0)
| sK18 = tl(cons(sK24(sK54(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f920,f533]) ).
fof(f1293,plain,
! [X0] :
( nil = sK53(X0)
| sK18 = tl(cons(sK24(sK53(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f920,f532]) ).
fof(f1292,plain,
! [X0] :
( nil = sK50(X0)
| sK18 = tl(cons(sK24(sK50(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f920,f522]) ).
fof(f1291,plain,
! [X0] :
( nil = sK49(X0)
| sK18 = tl(cons(sK24(sK49(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f920,f521]) ).
fof(f1290,plain,
! [X0] :
( nil = sK48(X0)
| sK18 = tl(cons(sK24(sK48(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f920,f520]) ).
fof(f1289,plain,
! [X0] :
( nil = sK45(X0)
| sK18 = tl(cons(sK24(sK45(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f920,f510]) ).
fof(f1288,plain,
! [X0] :
( nil = sK44(X0)
| sK18 = tl(cons(sK24(sK44(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f920,f509]) ).
fof(f1287,plain,
! [X0] :
( nil = sK43(X0)
| sK18 = tl(cons(sK24(sK43(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f920,f508]) ).
fof(f1286,plain,
! [X0] :
( nil = sK40(X0)
| sK18 = tl(cons(sK24(sK40(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f920,f498]) ).
fof(f1285,plain,
! [X0] :
( nil = sK39(X0)
| sK18 = tl(cons(sK24(sK39(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f920,f497]) ).
fof(f1284,plain,
! [X0] :
( nil = sK38(X0)
| sK18 = tl(cons(sK24(sK38(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f920,f496]) ).
fof(f1283,plain,
! [X0] :
( nil = sK35(X0)
| sK18 = tl(cons(sK24(sK35(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f920,f487]) ).
fof(f1282,plain,
! [X0] :
( nil = sK34(X0)
| sK18 = tl(cons(sK24(sK34(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f920,f486]) ).
fof(f1281,plain,
! [X0] :
( nil = sK33(X0)
| sK18 = tl(cons(sK24(sK33(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f920,f485]) ).
fof(f1280,plain,
! [X0] :
( nil = sK30(X0)
| sK18 = tl(cons(sK24(sK30(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f920,f476]) ).
fof(f1279,plain,
! [X0] :
( nil = sK29(X0)
| sK18 = tl(cons(sK24(sK29(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f920,f475]) ).
fof(f1278,plain,
! [X0] :
( nil = sK25(X0)
| sK18 = tl(cons(sK24(sK25(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f920,f465]) ).
fof(f1277,plain,
! [X0] :
( nil = sK22(X0)
| sK18 = tl(cons(sK24(sK22(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f920,f457]) ).
fof(f1272,plain,
! [X0] :
( nil = tl(X0)
| sK18 = tl(cons(sK24(tl(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f920,f461]) ).
fof(f1270,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK18 = tl(cons(sK24(app(X0,X1)),sK18))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f920,f565]) ).
fof(f1305,plain,
! [X0,X1] :
( sK18 = tl(cons(sK24(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1269,f556]) ).
fof(f1269,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK18 = tl(cons(sK24(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f920,f555]) ).
fof(f920,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK18 = tl(cons(sK24(X0),sK18)) ),
inference(resolution,[],[f890,f463]) ).
fof(f1260,plain,
( sK18 = tl(cons(sK23(sK18),sK18))
| spl69_4 ),
inference(subsumption_resolution,[],[f1227,f669]) ).
fof(f1258,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK18 = tl(cons(sK23(sK66(X0,X1)),sK18))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f919,f581]) ).
fof(f1257,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK18 = tl(cons(sK23(sK65(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f919,f578]) ).
fof(f1256,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK18 = tl(cons(sK23(sK64(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f919,f577]) ).
fof(f1255,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK18 = tl(cons(sK23(sK63(X0,X1)),sK18))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f919,f574]) ).
fof(f1254,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK18 = tl(cons(sK23(sK62(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f919,f562]) ).
fof(f1253,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK18 = tl(cons(sK23(sK61(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f919,f561]) ).
fof(f1252,plain,
! [X0] :
( nil = sK60(X0)
| sK18 = tl(cons(sK23(sK60(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f919,f545]) ).
fof(f1251,plain,
! [X0] :
( nil = sK59(X0)
| sK18 = tl(cons(sK23(sK59(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f919,f544]) ).
fof(f1250,plain,
! [X0] :
( nil = sK58(X0)
| sK18 = tl(cons(sK23(sK58(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f919,f543]) ).
fof(f1249,plain,
! [X0] :
( nil = sK55(X0)
| sK18 = tl(cons(sK23(sK55(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f919,f534]) ).
fof(f1248,plain,
! [X0] :
( nil = sK54(X0)
| sK18 = tl(cons(sK23(sK54(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f919,f533]) ).
fof(f1247,plain,
! [X0] :
( nil = sK53(X0)
| sK18 = tl(cons(sK23(sK53(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f919,f532]) ).
fof(f1246,plain,
! [X0] :
( nil = sK50(X0)
| sK18 = tl(cons(sK23(sK50(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f919,f522]) ).
fof(f1245,plain,
! [X0] :
( nil = sK49(X0)
| sK18 = tl(cons(sK23(sK49(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f919,f521]) ).
fof(f1244,plain,
! [X0] :
( nil = sK48(X0)
| sK18 = tl(cons(sK23(sK48(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f919,f520]) ).
fof(f1243,plain,
! [X0] :
( nil = sK45(X0)
| sK18 = tl(cons(sK23(sK45(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f919,f510]) ).
fof(f1242,plain,
! [X0] :
( nil = sK44(X0)
| sK18 = tl(cons(sK23(sK44(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f919,f509]) ).
fof(f1241,plain,
! [X0] :
( nil = sK43(X0)
| sK18 = tl(cons(sK23(sK43(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f919,f508]) ).
fof(f1240,plain,
! [X0] :
( nil = sK40(X0)
| sK18 = tl(cons(sK23(sK40(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f919,f498]) ).
fof(f1239,plain,
! [X0] :
( nil = sK39(X0)
| sK18 = tl(cons(sK23(sK39(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f919,f497]) ).
fof(f1238,plain,
! [X0] :
( nil = sK38(X0)
| sK18 = tl(cons(sK23(sK38(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f919,f496]) ).
fof(f1237,plain,
! [X0] :
( nil = sK35(X0)
| sK18 = tl(cons(sK23(sK35(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f919,f487]) ).
fof(f1236,plain,
! [X0] :
( nil = sK34(X0)
| sK18 = tl(cons(sK23(sK34(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f919,f486]) ).
fof(f1235,plain,
! [X0] :
( nil = sK33(X0)
| sK18 = tl(cons(sK23(sK33(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f919,f485]) ).
fof(f1234,plain,
! [X0] :
( nil = sK30(X0)
| sK18 = tl(cons(sK23(sK30(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f919,f476]) ).
fof(f1233,plain,
! [X0] :
( nil = sK29(X0)
| sK18 = tl(cons(sK23(sK29(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f919,f475]) ).
fof(f1232,plain,
! [X0] :
( nil = sK25(X0)
| sK18 = tl(cons(sK23(sK25(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f919,f465]) ).
fof(f1231,plain,
! [X0] :
( nil = sK22(X0)
| sK18 = tl(cons(sK23(sK22(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f919,f457]) ).
fof(f1264,plain,
( sK18 = tl(cons(sK23(sK18),sK18))
| spl69_4 ),
inference(forward_demodulation,[],[f1263,f379]) ).
fof(f1263,plain,
( sK18 = tl(cons(sK23(sK20),sK18))
| spl69_4 ),
inference(subsumption_resolution,[],[f1262,f669]) ).
fof(f1226,plain,
! [X0] :
( nil = tl(X0)
| sK18 = tl(cons(sK23(tl(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f919,f461]) ).
fof(f1224,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK18 = tl(cons(sK23(app(X0,X1)),sK18))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f919,f565]) ).
fof(f1259,plain,
! [X0,X1] :
( sK18 = tl(cons(sK23(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1223,f556]) ).
fof(f1223,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK18 = tl(cons(sK23(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f919,f555]) ).
fof(f919,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK18 = tl(cons(sK23(X0),sK18)) ),
inference(resolution,[],[f890,f458]) ).
fof(f1221,plain,
! [X0] :
( ~ leq(X0,sK68)
| sP0(cons(sK68,nil),X0)
| ~ totalorderedP(cons(sK68,nil))
| nil = cons(sK68,nil) ),
inference(superposition,[],[f436,f1133]) ).
fof(f1220,plain,
! [X0] :
( ~ leq(X0,sK67)
| sP0(cons(sK67,nil),X0)
| ~ totalorderedP(cons(sK67,nil))
| nil = cons(sK67,nil) ),
inference(superposition,[],[f436,f1132]) ).
fof(f1219,plain,
! [X0] :
( ~ leq(X0,sK68)
| sP0(cons(sK68,sK19),X0)
| ~ totalorderedP(cons(sK68,sK19))
| nil = cons(sK68,sK19) ),
inference(superposition,[],[f436,f1039]) ).
fof(f1218,plain,
! [X0] :
( ~ leq(X0,sK67)
| sP0(cons(sK67,sK19),X0)
| ~ totalorderedP(cons(sK67,sK19))
| nil = cons(sK67,sK19) ),
inference(superposition,[],[f436,f1038]) ).
fof(f1217,plain,
! [X0] :
( ~ leq(X0,sK68)
| sP0(cons(sK68,sK18),X0)
| ~ totalorderedP(cons(sK68,sK18))
| nil = cons(sK68,sK18) ),
inference(superposition,[],[f436,f1013]) ).
fof(f1216,plain,
! [X0] :
( ~ leq(X0,sK67)
| sP0(cons(sK67,sK18),X0)
| ~ totalorderedP(cons(sK67,sK18))
| nil = cons(sK67,sK18) ),
inference(superposition,[],[f436,f1012]) ).
fof(f1215,plain,
! [X0] :
( sP0(X0,hd(X0))
| ~ totalorderedP(X0)
| nil = X0
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f436,f397]) ).
fof(f436,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP0(X0,X1)
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f266]) ).
fof(f266,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1205,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| spl69_4 ),
inference(subsumption_resolution,[],[f1172,f669]) ).
fof(f1203,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK18 = tl(cons(hd(sK66(X0,X1)),sK18))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f918,f581]) ).
fof(f1202,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK18 = tl(cons(hd(sK65(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f918,f578]) ).
fof(f1201,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK18 = tl(cons(hd(sK64(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f918,f577]) ).
fof(f1200,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK18 = tl(cons(hd(sK63(X0,X1)),sK18))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f918,f574]) ).
fof(f1199,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK18 = tl(cons(hd(sK62(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f918,f562]) ).
fof(f1198,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK18 = tl(cons(hd(sK61(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f918,f561]) ).
fof(f1197,plain,
! [X0] :
( nil = sK60(X0)
| sK18 = tl(cons(hd(sK60(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f918,f545]) ).
fof(f1196,plain,
! [X0] :
( nil = sK59(X0)
| sK18 = tl(cons(hd(sK59(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f918,f544]) ).
fof(f1195,plain,
! [X0] :
( nil = sK58(X0)
| sK18 = tl(cons(hd(sK58(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f918,f543]) ).
fof(f1194,plain,
! [X0] :
( nil = sK55(X0)
| sK18 = tl(cons(hd(sK55(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f918,f534]) ).
fof(f1193,plain,
! [X0] :
( nil = sK54(X0)
| sK18 = tl(cons(hd(sK54(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f918,f533]) ).
fof(f1192,plain,
! [X0] :
( nil = sK53(X0)
| sK18 = tl(cons(hd(sK53(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f918,f532]) ).
fof(f1191,plain,
! [X0] :
( nil = sK50(X0)
| sK18 = tl(cons(hd(sK50(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f918,f522]) ).
fof(f1190,plain,
! [X0] :
( nil = sK49(X0)
| sK18 = tl(cons(hd(sK49(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f918,f521]) ).
fof(f1189,plain,
! [X0] :
( nil = sK48(X0)
| sK18 = tl(cons(hd(sK48(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f918,f520]) ).
fof(f1188,plain,
! [X0] :
( nil = sK45(X0)
| sK18 = tl(cons(hd(sK45(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f918,f510]) ).
fof(f1187,plain,
! [X0] :
( nil = sK44(X0)
| sK18 = tl(cons(hd(sK44(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f918,f509]) ).
fof(f1186,plain,
! [X0] :
( nil = sK43(X0)
| sK18 = tl(cons(hd(sK43(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f918,f508]) ).
fof(f1185,plain,
! [X0] :
( nil = sK40(X0)
| sK18 = tl(cons(hd(sK40(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f918,f498]) ).
fof(f1184,plain,
! [X0] :
( nil = sK39(X0)
| sK18 = tl(cons(hd(sK39(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f918,f497]) ).
fof(f1183,plain,
! [X0] :
( nil = sK38(X0)
| sK18 = tl(cons(hd(sK38(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f918,f496]) ).
fof(f1182,plain,
! [X0] :
( nil = sK35(X0)
| sK18 = tl(cons(hd(sK35(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f918,f487]) ).
fof(f1181,plain,
! [X0] :
( nil = sK34(X0)
| sK18 = tl(cons(hd(sK34(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f918,f486]) ).
fof(f1180,plain,
! [X0] :
( nil = sK33(X0)
| sK18 = tl(cons(hd(sK33(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f918,f485]) ).
fof(f1179,plain,
! [X0] :
( nil = sK30(X0)
| sK18 = tl(cons(hd(sK30(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f918,f476]) ).
fof(f1178,plain,
! [X0] :
( nil = sK29(X0)
| sK18 = tl(cons(hd(sK29(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f918,f475]) ).
fof(f1177,plain,
! [X0] :
( nil = sK25(X0)
| sK18 = tl(cons(hd(sK25(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f918,f465]) ).
fof(f1176,plain,
! [X0] :
( nil = sK22(X0)
| sK18 = tl(cons(hd(sK22(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f918,f457]) ).
fof(f1209,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| spl69_4 ),
inference(forward_demodulation,[],[f1208,f379]) ).
fof(f1208,plain,
( sK18 = tl(cons(hd(sK20),sK18))
| spl69_4 ),
inference(subsumption_resolution,[],[f1207,f669]) ).
fof(f1171,plain,
! [X0] :
( nil = tl(X0)
| sK18 = tl(cons(hd(tl(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f918,f461]) ).
fof(f1169,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK18 = tl(cons(hd(app(X0,X1)),sK18))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f918,f565]) ).
fof(f1204,plain,
! [X0,X1] :
( sK18 = tl(cons(hd(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1168,f556]) ).
fof(f1168,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK18 = tl(cons(hd(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f918,f555]) ).
fof(f918,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK18 = tl(cons(hd(X0),sK18)) ),
inference(resolution,[],[f890,f460]) ).
fof(f1167,plain,
! [X0] :
( nil = tl(cons(sK57(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1103,f681]) ).
fof(f1103,plain,
! [X0] :
( sP16(X0)
| nil = tl(cons(sK57(X0),nil)) ),
inference(resolution,[],[f888,f542]) ).
fof(f1166,plain,
! [X0] :
( nil = tl(cons(sK56(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1102,f681]) ).
fof(f1102,plain,
! [X0] :
( sP16(X0)
| nil = tl(cons(sK56(X0),nil)) ),
inference(resolution,[],[f888,f541]) ).
fof(f1165,plain,
! [X0] :
( nil = tl(cons(sK52(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1101,f679]) ).
fof(f1101,plain,
! [X0] :
( sP14(X0)
| nil = tl(cons(sK52(X0),nil)) ),
inference(resolution,[],[f888,f531]) ).
fof(f1164,plain,
! [X0] :
( nil = tl(cons(sK51(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1100,f679]) ).
fof(f1100,plain,
! [X0] :
( sP14(X0)
| nil = tl(cons(sK51(X0),nil)) ),
inference(resolution,[],[f888,f530]) ).
fof(f1099,plain,
! [X0] :
( sP12(X0)
| nil = tl(cons(sK47(X0),nil)) ),
inference(resolution,[],[f888,f519]) ).
fof(f1098,plain,
! [X0] :
( sP12(X0)
| nil = tl(cons(sK46(X0),nil)) ),
inference(resolution,[],[f888,f518]) ).
fof(f1097,plain,
! [X0] :
( sP10(X0)
| nil = tl(cons(sK42(X0),nil)) ),
inference(resolution,[],[f888,f507]) ).
fof(f1163,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(sK66(X0,X1),nil) ),
inference(resolution,[],[f581,f455]) ).
fof(f1162,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
inference(resolution,[],[f581,f456]) ).
fof(f1161,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| hd(sK66(X0,X1)) = sK24(sK66(X0,X1)) ),
inference(resolution,[],[f581,f464]) ).
fof(f1160,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| tl(sK66(X0,X1)) = sK25(sK66(X0,X1)) ),
inference(resolution,[],[f581,f466]) ).
fof(f1159,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ),
inference(resolution,[],[f581,f558]) ).
fof(f1158,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ),
inference(resolution,[],[f581,f559]) ).
fof(f581,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1096,plain,
! [X0] :
( sP10(X0)
| nil = tl(cons(sK41(X0),nil)) ),
inference(resolution,[],[f888,f506]) ).
fof(f1095,plain,
! [X0] :
( sP8(X0)
| nil = tl(cons(sK37(X0),nil)) ),
inference(resolution,[],[f888,f495]) ).
fof(f1094,plain,
! [X0] :
( sP8(X0)
| nil = tl(cons(sK36(X0),nil)) ),
inference(resolution,[],[f888,f494]) ).
fof(f1093,plain,
! [X0] :
( sP6(X0)
| nil = tl(cons(sK32(X0),nil)) ),
inference(resolution,[],[f888,f484]) ).
fof(f1092,plain,
! [X0] :
( sP6(X0)
| nil = tl(cons(sK31(X0),nil)) ),
inference(resolution,[],[f888,f483]) ).
fof(f1091,plain,
! [X0] :
( sP4(X0)
| nil = tl(cons(sK28(X0),nil)) ),
inference(resolution,[],[f888,f474]) ).
fof(f1090,plain,
! [X0] :
( sP4(X0)
| nil = tl(cons(sK27(X0),nil)) ),
inference(resolution,[],[f888,f473]) ).
fof(f1157,plain,
! [X0,X1] :
( sK19 = tl(cons(sK57(cons(X0,X1)),sK19))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1065,f438]) ).
fof(f1065,plain,
! [X0] :
( strictorderedP(X0)
| sK19 = tl(cons(sK57(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f957,f681]) ).
fof(f1156,plain,
! [X0,X1] :
( sK19 = tl(cons(sK56(cons(X0,X1)),sK19))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1064,f438]) ).
fof(f1064,plain,
! [X0] :
( strictorderedP(X0)
| sK19 = tl(cons(sK56(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f956,f681]) ).
fof(f1155,plain,
! [X0,X1] :
( sK19 = tl(cons(sK52(cons(X0,X1)),sK19))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1063,f430]) ).
fof(f1063,plain,
! [X0] :
( totalorderedP(X0)
| sK19 = tl(cons(sK52(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f955,f679]) ).
fof(f1154,plain,
! [X0,X1] :
( sK19 = tl(cons(sK51(cons(X0,X1)),sK19))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1062,f430]) ).
fof(f1062,plain,
! [X0] :
( totalorderedP(X0)
| sK19 = tl(cons(sK51(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f954,f679]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(sK65(X0,X1),nil) ),
inference(resolution,[],[f578,f455]) ).
fof(f1152,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
inference(resolution,[],[f578,f456]) ).
fof(f1151,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| hd(sK65(X0,X1)) = sK24(sK65(X0,X1)) ),
inference(resolution,[],[f578,f464]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| tl(sK65(X0,X1)) = sK25(sK65(X0,X1)) ),
inference(resolution,[],[f578,f466]) ).
fof(f1149,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ),
inference(resolution,[],[f578,f558]) ).
fof(f1148,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ),
inference(resolution,[],[f578,f559]) ).
fof(f578,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1147,plain,
! [X0,X1] :
( sK18 = tl(cons(sK57(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1055,f438]) ).
fof(f1055,plain,
! [X0] :
( strictorderedP(X0)
| sK18 = tl(cons(sK57(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f935,f681]) ).
fof(f1146,plain,
! [X0,X1] :
( sK18 = tl(cons(sK56(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1052,f438]) ).
fof(f1052,plain,
! [X0] :
( strictorderedP(X0)
| sK18 = tl(cons(sK56(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f934,f681]) ).
fof(f1145,plain,
! [X0,X1] :
( sK18 = tl(cons(sK52(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1051,f430]) ).
fof(f1051,plain,
! [X0] :
( totalorderedP(X0)
| sK18 = tl(cons(sK52(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f933,f679]) ).
fof(f1144,plain,
! [X0,X1] :
( sK18 = tl(cons(sK51(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1050,f430]) ).
fof(f1050,plain,
! [X0] :
( totalorderedP(X0)
| sK18 = tl(cons(sK51(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f932,f679]) ).
fof(f1143,plain,
! [X0] :
( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1142]) ).
fof(f1142,plain,
! [X0] :
( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f943,f610]) ).
fof(f943,plain,
! [X0] :
( ~ singletonP(X0)
| sK19 = tl(cons(sK26(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f891,f467]) ).
fof(f1141,plain,
! [X0] :
( sK18 = tl(cons(sK26(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1140]) ).
fof(f1140,plain,
! [X0] :
( sK18 = tl(cons(sK26(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f921,f610]) ).
fof(f921,plain,
! [X0] :
( ~ singletonP(X0)
| sK18 = tl(cons(sK26(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f890,f467]) ).
fof(f1138,plain,
! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,nil)
| ~ sP0(cons(sK68,nil),X0) ),
inference(superposition,[],[f434,f1133]) ).
fof(f1137,plain,
! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,nil)
| ~ sP2(cons(sK68,nil),X0) ),
inference(superposition,[],[f442,f1133]) ).
fof(f1133,plain,
sK68 = hd(cons(sK68,nil)),
inference(resolution,[],[f964,f600]) ).
fof(f1135,plain,
! [X0] :
( leq(X0,sK67)
| nil = cons(sK67,nil)
| ~ sP0(cons(sK67,nil),X0) ),
inference(superposition,[],[f434,f1132]) ).
fof(f1134,plain,
! [X0] :
( lt(X0,sK67)
| nil = cons(sK67,nil)
| ~ sP2(cons(sK67,nil),X0) ),
inference(superposition,[],[f442,f1132]) ).
fof(f1131,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f964,f542]) ).
fof(f1130,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f964,f541]) ).
fof(f1129,plain,
! [X0] :
( sK52(X0) = hd(cons(sK52(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f964,f531]) ).
fof(f1128,plain,
! [X0] :
( sK51(X0) = hd(cons(sK51(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f964,f530]) ).
fof(f1127,plain,
! [X0] :
( sK47(X0) = hd(cons(sK47(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f964,f519]) ).
fof(f1126,plain,
! [X0] :
( sK46(X0) = hd(cons(sK46(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f964,f518]) ).
fof(f1125,plain,
! [X0] :
( sK42(X0) = hd(cons(sK42(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f964,f507]) ).
fof(f1124,plain,
! [X0] :
( sK41(X0) = hd(cons(sK41(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f964,f506]) ).
fof(f1123,plain,
! [X0] :
( sK37(X0) = hd(cons(sK37(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f964,f495]) ).
fof(f1122,plain,
! [X0] :
( sK36(X0) = hd(cons(sK36(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f964,f494]) ).
fof(f1121,plain,
! [X0] :
( sK32(X0) = hd(cons(sK32(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f964,f484]) ).
fof(f1120,plain,
! [X0] :
( sK31(X0) = hd(cons(sK31(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f964,f483]) ).
fof(f1119,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f964,f474]) ).
fof(f1118,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f964,f473]) ).
fof(f1117,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f964,f467]) ).
fof(f1116,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f964,f463]) ).
fof(f1115,plain,
! [X0] :
( sK23(X0) = hd(cons(sK23(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f964,f458]) ).
fof(f1114,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f964,f460]) ).
fof(f1105,plain,
nil = tl(cons(sK68,nil)),
inference(resolution,[],[f888,f600]) ).
fof(f1104,plain,
nil = tl(cons(sK67,nil)),
inference(resolution,[],[f888,f599]) ).
fof(f1111,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(sK64(X0,X1),nil) ),
inference(resolution,[],[f577,f455]) ).
fof(f1110,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(nil,sK64(X0,X1)) ),
inference(resolution,[],[f577,f456]) ).
fof(f1109,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| hd(sK64(X0,X1)) = sK24(sK64(X0,X1)) ),
inference(resolution,[],[f577,f464]) ).
fof(f1108,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| tl(sK64(X0,X1)) = sK25(sK64(X0,X1)) ),
inference(resolution,[],[f577,f466]) ).
fof(f1107,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ),
inference(resolution,[],[f577,f558]) ).
fof(f1106,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 ),
inference(resolution,[],[f577,f559]) ).
fof(f577,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1089,plain,
! [X0] :
( nil = tl(cons(sK26(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f888,f467]) ).
fof(f1088,plain,
! [X0] :
( nil = tl(cons(sK24(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f888,f463]) ).
fof(f1087,plain,
! [X0] :
( nil = tl(cons(sK23(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f888,f458]) ).
fof(f1086,plain,
! [X0] :
( nil = tl(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f888,f460]) ).
fof(f888,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) ),
inference(resolution,[],[f558,f393]) ).
fof(f1085,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),sK19))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1037,f681]) ).
fof(f1037,plain,
! [X0] :
( sP16(X0)
| sK57(X0) = hd(cons(sK57(X0),sK19)) ),
inference(resolution,[],[f967,f542]) ).
fof(f1084,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),sK19))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1036,f681]) ).
fof(f1036,plain,
! [X0] :
( sP16(X0)
| sK56(X0) = hd(cons(sK56(X0),sK19)) ),
inference(resolution,[],[f967,f541]) ).
fof(f1083,plain,
! [X0] :
( sK52(X0) = hd(cons(sK52(X0),sK19))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1035,f679]) ).
fof(f1035,plain,
! [X0] :
( sP14(X0)
| sK52(X0) = hd(cons(sK52(X0),sK19)) ),
inference(resolution,[],[f967,f531]) ).
fof(f1082,plain,
! [X0] :
( sK51(X0) = hd(cons(sK51(X0),sK19))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1034,f679]) ).
fof(f1034,plain,
! [X0] :
( sP14(X0)
| sK51(X0) = hd(cons(sK51(X0),sK19)) ),
inference(resolution,[],[f967,f530]) ).
fof(f1033,plain,
! [X0] :
( sP12(X0)
| sK47(X0) = hd(cons(sK47(X0),sK19)) ),
inference(resolution,[],[f967,f519]) ).
fof(f1032,plain,
! [X0] :
( sP12(X0)
| sK46(X0) = hd(cons(sK46(X0),sK19)) ),
inference(resolution,[],[f967,f518]) ).
fof(f1031,plain,
! [X0] :
( sP10(X0)
| sK42(X0) = hd(cons(sK42(X0),sK19)) ),
inference(resolution,[],[f967,f507]) ).
fof(f1030,plain,
! [X0] :
( sP10(X0)
| sK41(X0) = hd(cons(sK41(X0),sK19)) ),
inference(resolution,[],[f967,f506]) ).
fof(f1029,plain,
! [X0] :
( sP8(X0)
| sK37(X0) = hd(cons(sK37(X0),sK19)) ),
inference(resolution,[],[f967,f495]) ).
fof(f1028,plain,
! [X0] :
( sP8(X0)
| sK36(X0) = hd(cons(sK36(X0),sK19)) ),
inference(resolution,[],[f967,f494]) ).
fof(f1081,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(sK63(X0,X1),nil) ),
inference(resolution,[],[f574,f455]) ).
fof(f1080,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(nil,sK63(X0,X1)) ),
inference(resolution,[],[f574,f456]) ).
fof(f1079,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| hd(sK63(X0,X1)) = sK24(sK63(X0,X1)) ),
inference(resolution,[],[f574,f464]) ).
fof(f1078,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| tl(sK63(X0,X1)) = sK25(sK63(X0,X1)) ),
inference(resolution,[],[f574,f466]) ).
fof(f1077,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) ),
inference(resolution,[],[f574,f558]) ).
fof(f1076,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK63(X0,X1))) = X2 ),
inference(resolution,[],[f574,f559]) ).
fof(f574,plain,
! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK63(X0,X1)) = X0
& ssList(sK63(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f357,f358]) ).
fof(f358,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK63(X0,X1)) = X0
& ssList(sK63(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f356]) ).
fof(f356,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f1027,plain,
! [X0] :
( sP6(X0)
| sK32(X0) = hd(cons(sK32(X0),sK19)) ),
inference(resolution,[],[f967,f484]) ).
fof(f1026,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = hd(cons(sK31(X0),sK19)) ),
inference(resolution,[],[f967,f483]) ).
fof(f1025,plain,
! [X0] :
( sP4(X0)
| sK28(X0) = hd(cons(sK28(X0),sK19)) ),
inference(resolution,[],[f967,f474]) ).
fof(f1024,plain,
! [X0] :
( sP4(X0)
| sK27(X0) = hd(cons(sK27(X0),sK19)) ),
inference(resolution,[],[f967,f473]) ).
fof(f1075,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1011,f681]) ).
fof(f1011,plain,
! [X0] :
( sP16(X0)
| sK57(X0) = hd(cons(sK57(X0),sK18)) ),
inference(resolution,[],[f966,f542]) ).
fof(f1074,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1010,f681]) ).
fof(f1010,plain,
! [X0] :
( sP16(X0)
| sK56(X0) = hd(cons(sK56(X0),sK18)) ),
inference(resolution,[],[f966,f541]) ).
fof(f1009,plain,
! [X0] :
( sP14(X0)
| sK52(X0) = hd(cons(sK52(X0),sK18)) ),
inference(resolution,[],[f966,f531]) ).
fof(f1008,plain,
! [X0] :
( sP14(X0)
| sK51(X0) = hd(cons(sK51(X0),sK18)) ),
inference(resolution,[],[f966,f530]) ).
fof(f1007,plain,
! [X0] :
( sP12(X0)
| sK47(X0) = hd(cons(sK47(X0),sK18)) ),
inference(resolution,[],[f966,f519]) ).
fof(f1006,plain,
! [X0] :
( sP12(X0)
| sK46(X0) = hd(cons(sK46(X0),sK18)) ),
inference(resolution,[],[f966,f518]) ).
fof(f1005,plain,
! [X0] :
( sP10(X0)
| sK42(X0) = hd(cons(sK42(X0),sK18)) ),
inference(resolution,[],[f966,f507]) ).
fof(f1071,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK62(X0,X1) = app(sK62(X0,X1),nil) ),
inference(resolution,[],[f562,f455]) ).
fof(f1070,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK62(X0,X1) = app(nil,sK62(X0,X1)) ),
inference(resolution,[],[f562,f456]) ).
fof(f1069,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK62(X0,X1)
| hd(sK62(X0,X1)) = sK24(sK62(X0,X1)) ),
inference(resolution,[],[f562,f464]) ).
fof(f1068,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK62(X0,X1)
| tl(sK62(X0,X1)) = sK25(sK62(X0,X1)) ),
inference(resolution,[],[f562,f466]) ).
fof(f1067,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK62(X0,X1) = tl(cons(X2,sK62(X0,X1))) ),
inference(resolution,[],[f562,f558]) ).
fof(f1066,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK62(X0,X1))) = X2 ),
inference(resolution,[],[f562,f559]) ).
fof(f562,plain,
! [X0,X1] :
( ssList(sK62(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
& ssList(sK62(X0,X1))
& ssList(sK61(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62])],[f351,f353,f352]) ).
fof(f352,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK61(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK61(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0,X1] :
( ? [X5] :
( app(sK61(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
& ssList(sK62(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1004,plain,
! [X0] :
( sP10(X0)
| sK41(X0) = hd(cons(sK41(X0),sK18)) ),
inference(resolution,[],[f966,f506]) ).
fof(f1003,plain,
! [X0] :
( sP8(X0)
| sK37(X0) = hd(cons(sK37(X0),sK18)) ),
inference(resolution,[],[f966,f495]) ).
fof(f1002,plain,
! [X0] :
( sP8(X0)
| sK36(X0) = hd(cons(sK36(X0),sK18)) ),
inference(resolution,[],[f966,f494]) ).
fof(f1001,plain,
! [X0] :
( sP6(X0)
| sK32(X0) = hd(cons(sK32(X0),sK18)) ),
inference(resolution,[],[f966,f484]) ).
fof(f1000,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = hd(cons(sK31(X0),sK18)) ),
inference(resolution,[],[f966,f483]) ).
fof(f999,plain,
! [X0] :
( sP4(X0)
| sK28(X0) = hd(cons(sK28(X0),sK18)) ),
inference(resolution,[],[f966,f474]) ).
fof(f998,plain,
! [X0] :
( sP4(X0)
| sK27(X0) = hd(cons(sK27(X0),sK18)) ),
inference(resolution,[],[f966,f473]) ).
fof(f957,plain,
! [X0] :
( sP16(X0)
| sK19 = tl(cons(sK57(X0),sK19)) ),
inference(resolution,[],[f891,f542]) ).
fof(f956,plain,
! [X0] :
( sP16(X0)
| sK19 = tl(cons(sK56(X0),sK19)) ),
inference(resolution,[],[f891,f541]) ).
fof(f955,plain,
! [X0] :
( sP14(X0)
| sK19 = tl(cons(sK52(X0),sK19)) ),
inference(resolution,[],[f891,f531]) ).
fof(f954,plain,
! [X0] :
( sP14(X0)
| sK19 = tl(cons(sK51(X0),sK19)) ),
inference(resolution,[],[f891,f530]) ).
fof(f1061,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK61(X0,X1) = app(sK61(X0,X1),nil) ),
inference(resolution,[],[f561,f455]) ).
fof(f1060,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK61(X0,X1) = app(nil,sK61(X0,X1)) ),
inference(resolution,[],[f561,f456]) ).
fof(f1059,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK61(X0,X1)
| hd(sK61(X0,X1)) = sK24(sK61(X0,X1)) ),
inference(resolution,[],[f561,f464]) ).
fof(f1058,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK61(X0,X1)
| tl(sK61(X0,X1)) = sK25(sK61(X0,X1)) ),
inference(resolution,[],[f561,f466]) ).
fof(f1057,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK61(X0,X1) = tl(cons(X2,sK61(X0,X1))) ),
inference(resolution,[],[f561,f558]) ).
fof(f1056,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK61(X0,X1))) = X2 ),
inference(resolution,[],[f561,f559]) ).
fof(f561,plain,
! [X0,X1] :
( ssList(sK61(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f953,plain,
! [X0] :
( sP12(X0)
| sK19 = tl(cons(sK47(X0),sK19)) ),
inference(resolution,[],[f891,f519]) ).
fof(f952,plain,
! [X0] :
( sP12(X0)
| sK19 = tl(cons(sK46(X0),sK19)) ),
inference(resolution,[],[f891,f518]) ).
fof(f951,plain,
! [X0] :
( sP10(X0)
| sK19 = tl(cons(sK42(X0),sK19)) ),
inference(resolution,[],[f891,f507]) ).
fof(f950,plain,
! [X0] :
( sP10(X0)
| sK19 = tl(cons(sK41(X0),sK19)) ),
inference(resolution,[],[f891,f506]) ).
fof(f949,plain,
! [X0] :
( sP8(X0)
| sK19 = tl(cons(sK37(X0),sK19)) ),
inference(resolution,[],[f891,f495]) ).
fof(f948,plain,
! [X0] :
( sP8(X0)
| sK19 = tl(cons(sK36(X0),sK19)) ),
inference(resolution,[],[f891,f494]) ).
fof(f947,plain,
! [X0] :
( sP6(X0)
| sK19 = tl(cons(sK32(X0),sK19)) ),
inference(resolution,[],[f891,f484]) ).
fof(f946,plain,
! [X0] :
( sP6(X0)
| sK19 = tl(cons(sK31(X0),sK19)) ),
inference(resolution,[],[f891,f483]) ).
fof(f945,plain,
! [X0] :
( sP4(X0)
| sK19 = tl(cons(sK28(X0),sK19)) ),
inference(resolution,[],[f891,f474]) ).
fof(f944,plain,
! [X0] :
( sP4(X0)
| sK19 = tl(cons(sK27(X0),sK19)) ),
inference(resolution,[],[f891,f473]) ).
fof(f935,plain,
! [X0] :
( sP16(X0)
| sK18 = tl(cons(sK57(X0),sK18)) ),
inference(resolution,[],[f890,f542]) ).
fof(f1054,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK26(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1053]) ).
fof(f1053,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK26(cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f610,f468]) ).
fof(f934,plain,
! [X0] :
( sP16(X0)
| sK18 = tl(cons(sK56(X0),sK18)) ),
inference(resolution,[],[f890,f541]) ).
fof(f933,plain,
! [X0] :
( sP14(X0)
| sK18 = tl(cons(sK52(X0),sK18)) ),
inference(resolution,[],[f890,f531]) ).
fof(f932,plain,
! [X0] :
( sP14(X0)
| sK18 = tl(cons(sK51(X0),sK18)) ),
inference(resolution,[],[f890,f530]) ).
fof(f931,plain,
! [X0] :
( sP12(X0)
| sK18 = tl(cons(sK47(X0),sK18)) ),
inference(resolution,[],[f890,f519]) ).
fof(f930,plain,
! [X0] :
( sP12(X0)
| sK18 = tl(cons(sK46(X0),sK18)) ),
inference(resolution,[],[f890,f518]) ).
fof(f929,plain,
! [X0] :
( sP10(X0)
| sK18 = tl(cons(sK42(X0),sK18)) ),
inference(resolution,[],[f890,f507]) ).
fof(f928,plain,
! [X0] :
( sP10(X0)
| sK18 = tl(cons(sK41(X0),sK18)) ),
inference(resolution,[],[f890,f506]) ).
fof(f927,plain,
! [X0] :
( sP8(X0)
| sK18 = tl(cons(sK37(X0),sK18)) ),
inference(resolution,[],[f890,f495]) ).
fof(f926,plain,
! [X0] :
( sP8(X0)
| sK18 = tl(cons(sK36(X0),sK18)) ),
inference(resolution,[],[f890,f494]) ).
fof(f925,plain,
! [X0] :
( sP6(X0)
| sK18 = tl(cons(sK32(X0),sK18)) ),
inference(resolution,[],[f890,f484]) ).
fof(f924,plain,
! [X0] :
( sP6(X0)
| sK18 = tl(cons(sK31(X0),sK18)) ),
inference(resolution,[],[f890,f483]) ).
fof(f573,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f923,plain,
! [X0] :
( sP4(X0)
| sK18 = tl(cons(sK28(X0),sK18)) ),
inference(resolution,[],[f890,f474]) ).
fof(f922,plain,
! [X0] :
( sP4(X0)
| sK18 = tl(cons(sK27(X0),sK18)) ),
inference(resolution,[],[f890,f473]) ).
fof(f1044,plain,
! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,sK19)
| ~ sP0(cons(sK68,sK19),X0) ),
inference(superposition,[],[f434,f1039]) ).
fof(f1043,plain,
! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,sK19)
| ~ sP2(cons(sK68,sK19),X0) ),
inference(superposition,[],[f442,f1039]) ).
fof(f1039,plain,
sK68 = hd(cons(sK68,sK19)),
inference(resolution,[],[f967,f600]) ).
fof(f1041,plain,
! [X0] :
( leq(X0,sK67)
| nil = cons(sK67,sK19)
| ~ sP0(cons(sK67,sK19),X0) ),
inference(superposition,[],[f434,f1038]) ).
fof(f1040,plain,
! [X0] :
( lt(X0,sK67)
| nil = cons(sK67,sK19)
| ~ sP2(cons(sK67,sK19),X0) ),
inference(superposition,[],[f442,f1038]) ).
fof(f1038,plain,
sK67 = hd(cons(sK67,sK19)),
inference(resolution,[],[f967,f599]) ).
fof(f1022,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f967,f463]) ).
fof(f1021,plain,
! [X0] :
( sK23(X0) = hd(cons(sK23(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f967,f458]) ).
fof(f1020,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f967,f460]) ).
fof(f967,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK19)) = X0 ),
inference(resolution,[],[f559,f375]) ).
fof(f1018,plain,
! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,sK18)
| ~ sP0(cons(sK68,sK18),X0) ),
inference(superposition,[],[f434,f1013]) ).
fof(f1017,plain,
! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,sK18)
| ~ sP2(cons(sK68,sK18),X0) ),
inference(superposition,[],[f442,f1013]) ).
fof(f1013,plain,
sK68 = hd(cons(sK68,sK18)),
inference(resolution,[],[f966,f600]) ).
fof(f1015,plain,
! [X0] :
( leq(X0,sK67)
| nil = cons(sK67,sK18)
| ~ sP0(cons(sK67,sK18),X0) ),
inference(superposition,[],[f434,f1012]) ).
fof(f1014,plain,
! [X0] :
( lt(X0,sK67)
| nil = cons(sK67,sK18)
| ~ sP2(cons(sK67,sK18),X0) ),
inference(superposition,[],[f442,f1012]) ).
fof(f1012,plain,
sK67 = hd(cons(sK67,sK18)),
inference(resolution,[],[f966,f599]) ).
fof(f996,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f966,f463]) ).
fof(f995,plain,
! [X0] :
( sK23(X0) = hd(cons(sK23(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f966,f458]) ).
fof(f994,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f966,f460]) ).
fof(f966,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK18)) = X0 ),
inference(resolution,[],[f559,f374]) ).
fof(f991,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK60(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f559,f545]) ).
fof(f990,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK59(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f559,f544]) ).
fof(f989,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK58(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f559,f543]) ).
fof(f988,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK55(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f559,f534]) ).
fof(f987,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK54(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f559,f533]) ).
fof(f986,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK53(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f559,f532]) ).
fof(f985,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK50(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f559,f522]) ).
fof(f984,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK49(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f559,f521]) ).
fof(f983,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK48(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f559,f520]) ).
fof(f982,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK45(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f559,f510]) ).
fof(f981,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK44(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f559,f509]) ).
fof(f980,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK43(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f559,f508]) ).
fof(f979,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK40(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f559,f498]) ).
fof(f978,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK39(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f559,f497]) ).
fof(f977,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK38(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f559,f496]) ).
fof(f976,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK35(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f559,f487]) ).
fof(f975,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK34(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f559,f486]) ).
fof(f974,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK33(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f559,f485]) ).
fof(f973,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK30(X1))) = X0
| sP4(X1) ),
inference(resolution,[],[f559,f476]) ).
fof(f972,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK29(X1))) = X0
| sP4(X1) ),
inference(resolution,[],[f559,f475]) ).
fof(f971,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK25(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f559,f465]) ).
fof(f970,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK22(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f559,f457]) ).
fof(f993,plain,
! [X0] :
( hd(cons(X0,sK19)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f969,f378]) ).
fof(f969,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK21)) = X0 ),
inference(resolution,[],[f559,f377]) ).
fof(f992,plain,
! [X0] :
( hd(cons(X0,sK18)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f968,f379]) ).
fof(f968,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 ),
inference(resolution,[],[f559,f376]) ).
fof(f965,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f559,f461]) ).
fof(f963,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f559,f565]) ).
fof(f962,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f559,f555]) ).
fof(f959,plain,
sK19 = tl(cons(sK68,sK19)),
inference(resolution,[],[f891,f600]) ).
fof(f958,plain,
sK19 = tl(cons(sK67,sK19)),
inference(resolution,[],[f891,f599]) ).
fof(f891,plain,
! [X0] :
( ~ ssItem(X0)
| sK19 = tl(cons(X0,sK19)) ),
inference(resolution,[],[f558,f375]) ).
fof(f937,plain,
sK18 = tl(cons(sK68,sK18)),
inference(resolution,[],[f890,f600]) ).
fof(f936,plain,
sK18 = tl(cons(sK67,sK18)),
inference(resolution,[],[f890,f599]) ).
fof(f890,plain,
! [X0] :
( ~ ssItem(X0)
| sK18 = tl(cons(X0,sK18)) ),
inference(resolution,[],[f558,f374]) ).
fof(f915,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK60(X1) = tl(cons(X0,sK60(X1)))
| sP16(X1) ),
inference(resolution,[],[f558,f545]) ).
fof(f914,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK59(X1) = tl(cons(X0,sK59(X1)))
| sP16(X1) ),
inference(resolution,[],[f558,f544]) ).
fof(f913,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK58(X1) = tl(cons(X0,sK58(X1)))
| sP16(X1) ),
inference(resolution,[],[f558,f543]) ).
fof(f912,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK55(X1) = tl(cons(X0,sK55(X1)))
| sP14(X1) ),
inference(resolution,[],[f558,f534]) ).
fof(f911,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK54(X1) = tl(cons(X0,sK54(X1)))
| sP14(X1) ),
inference(resolution,[],[f558,f533]) ).
fof(f910,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK53(X1) = tl(cons(X0,sK53(X1)))
| sP14(X1) ),
inference(resolution,[],[f558,f532]) ).
fof(f909,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK50(X1) = tl(cons(X0,sK50(X1)))
| sP12(X1) ),
inference(resolution,[],[f558,f522]) ).
fof(f908,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK49(X1) = tl(cons(X0,sK49(X1)))
| sP12(X1) ),
inference(resolution,[],[f558,f521]) ).
fof(f907,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK48(X1) = tl(cons(X0,sK48(X1)))
| sP12(X1) ),
inference(resolution,[],[f558,f520]) ).
fof(f906,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK45(X1) = tl(cons(X0,sK45(X1)))
| sP10(X1) ),
inference(resolution,[],[f558,f510]) ).
fof(f905,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK44(X1) = tl(cons(X0,sK44(X1)))
| sP10(X1) ),
inference(resolution,[],[f558,f509]) ).
fof(f904,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK43(X1) = tl(cons(X0,sK43(X1)))
| sP10(X1) ),
inference(resolution,[],[f558,f508]) ).
fof(f903,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK40(X1) = tl(cons(X0,sK40(X1)))
| sP8(X1) ),
inference(resolution,[],[f558,f498]) ).
fof(f902,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK39(X1) = tl(cons(X0,sK39(X1)))
| sP8(X1) ),
inference(resolution,[],[f558,f497]) ).
fof(f901,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK38(X1) = tl(cons(X0,sK38(X1)))
| sP8(X1) ),
inference(resolution,[],[f558,f496]) ).
fof(f900,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK35(X1) = tl(cons(X0,sK35(X1)))
| sP6(X1) ),
inference(resolution,[],[f558,f487]) ).
fof(f899,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK34(X1) = tl(cons(X0,sK34(X1)))
| sP6(X1) ),
inference(resolution,[],[f558,f486]) ).
fof(f898,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK33(X1) = tl(cons(X0,sK33(X1)))
| sP6(X1) ),
inference(resolution,[],[f558,f485]) ).
fof(f897,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK30(X1) = tl(cons(X0,sK30(X1)))
| sP4(X1) ),
inference(resolution,[],[f558,f476]) ).
fof(f896,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK29(X1) = tl(cons(X0,sK29(X1)))
| sP4(X1) ),
inference(resolution,[],[f558,f475]) ).
fof(f895,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK25(X1) = tl(cons(X0,sK25(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f558,f465]) ).
fof(f894,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK22(X1) = tl(cons(X0,sK22(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f558,f457]) ).
fof(f917,plain,
! [X0] :
( sK19 = tl(cons(X0,sK19))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f893,f378]) ).
fof(f893,plain,
! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(X0,sK21)) ),
inference(resolution,[],[f558,f377]) ).
fof(f916,plain,
! [X0] :
( sK18 = tl(cons(X0,sK18))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f892,f379]) ).
fof(f892,plain,
! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) ),
inference(resolution,[],[f558,f376]) ).
fof(f889,plain,
! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f558,f461]) ).
fof(f887,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f558,f565]) ).
fof(f886,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f558,f555]) ).
fof(f877,plain,
( tl(sK18) = sK25(sK18)
| spl69_4 ),
inference(subsumption_resolution,[],[f850,f669]) ).
fof(f875,plain,
! [X0] :
( nil = sK60(X0)
| tl(sK60(X0)) = sK25(sK60(X0))
| sP16(X0) ),
inference(resolution,[],[f466,f545]) ).
fof(f874,plain,
! [X0] :
( nil = sK59(X0)
| tl(sK59(X0)) = sK25(sK59(X0))
| sP16(X0) ),
inference(resolution,[],[f466,f544]) ).
fof(f873,plain,
! [X0] :
( nil = sK58(X0)
| tl(sK58(X0)) = sK25(sK58(X0))
| sP16(X0) ),
inference(resolution,[],[f466,f543]) ).
fof(f872,plain,
! [X0] :
( nil = sK55(X0)
| tl(sK55(X0)) = sK25(sK55(X0))
| sP14(X0) ),
inference(resolution,[],[f466,f534]) ).
fof(f871,plain,
! [X0] :
( nil = sK54(X0)
| tl(sK54(X0)) = sK25(sK54(X0))
| sP14(X0) ),
inference(resolution,[],[f466,f533]) ).
fof(f870,plain,
! [X0] :
( nil = sK53(X0)
| tl(sK53(X0)) = sK25(sK53(X0))
| sP14(X0) ),
inference(resolution,[],[f466,f532]) ).
fof(f869,plain,
! [X0] :
( nil = sK50(X0)
| tl(sK50(X0)) = sK25(sK50(X0))
| sP12(X0) ),
inference(resolution,[],[f466,f522]) ).
fof(f868,plain,
! [X0] :
( nil = sK49(X0)
| tl(sK49(X0)) = sK25(sK49(X0))
| sP12(X0) ),
inference(resolution,[],[f466,f521]) ).
fof(f867,plain,
! [X0] :
( nil = sK48(X0)
| tl(sK48(X0)) = sK25(sK48(X0))
| sP12(X0) ),
inference(resolution,[],[f466,f520]) ).
fof(f866,plain,
! [X0] :
( nil = sK45(X0)
| tl(sK45(X0)) = sK25(sK45(X0))
| sP10(X0) ),
inference(resolution,[],[f466,f510]) ).
fof(f865,plain,
! [X0] :
( nil = sK44(X0)
| tl(sK44(X0)) = sK25(sK44(X0))
| sP10(X0) ),
inference(resolution,[],[f466,f509]) ).
fof(f864,plain,
! [X0] :
( nil = sK43(X0)
| tl(sK43(X0)) = sK25(sK43(X0))
| sP10(X0) ),
inference(resolution,[],[f466,f508]) ).
fof(f863,plain,
! [X0] :
( nil = sK40(X0)
| tl(sK40(X0)) = sK25(sK40(X0))
| sP8(X0) ),
inference(resolution,[],[f466,f498]) ).
fof(f862,plain,
! [X0] :
( nil = sK39(X0)
| tl(sK39(X0)) = sK25(sK39(X0))
| sP8(X0) ),
inference(resolution,[],[f466,f497]) ).
fof(f861,plain,
! [X0] :
( nil = sK38(X0)
| tl(sK38(X0)) = sK25(sK38(X0))
| sP8(X0) ),
inference(resolution,[],[f466,f496]) ).
fof(f860,plain,
! [X0] :
( nil = sK35(X0)
| tl(sK35(X0)) = sK25(sK35(X0))
| sP6(X0) ),
inference(resolution,[],[f466,f487]) ).
fof(f859,plain,
! [X0] :
( nil = sK34(X0)
| tl(sK34(X0)) = sK25(sK34(X0))
| sP6(X0) ),
inference(resolution,[],[f466,f486]) ).
fof(f858,plain,
! [X0] :
( nil = sK33(X0)
| tl(sK33(X0)) = sK25(sK33(X0))
| sP6(X0) ),
inference(resolution,[],[f466,f485]) ).
fof(f857,plain,
! [X0] :
( nil = sK30(X0)
| tl(sK30(X0)) = sK25(sK30(X0))
| sP4(X0) ),
inference(resolution,[],[f466,f476]) ).
fof(f856,plain,
! [X0] :
( nil = sK29(X0)
| tl(sK29(X0)) = sK25(sK29(X0))
| sP4(X0) ),
inference(resolution,[],[f466,f475]) ).
fof(f855,plain,
! [X0] :
( nil = sK25(X0)
| tl(sK25(X0)) = sK25(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f465]) ).
fof(f854,plain,
! [X0] :
( nil = sK22(X0)
| tl(sK22(X0)) = sK25(sK22(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f457]) ).
fof(f881,plain,
( tl(sK18) = sK25(sK18)
| spl69_4 ),
inference(forward_demodulation,[],[f880,f379]) ).
fof(f880,plain,
( tl(sK20) = sK25(sK20)
| spl69_4 ),
inference(subsumption_resolution,[],[f879,f669]) ).
fof(f849,plain,
! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK25(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f461]) ).
fof(f847,plain,
! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK25(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f565]) ).
fof(f876,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK25(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f846,f556]) ).
fof(f846,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK25(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f466,f555]) ).
fof(f466,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK25(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ( tl(X0) = sK25(X0)
& ssList(sK25(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f159,f279]) ).
fof(f279,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK25(X0)
& ssList(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
fof(f837,plain,
( hd(sK18) = sK24(sK18)
| spl69_4 ),
inference(subsumption_resolution,[],[f810,f669]) ).
fof(f835,plain,
! [X0] :
( nil = sK60(X0)
| hd(sK60(X0)) = sK24(sK60(X0))
| sP16(X0) ),
inference(resolution,[],[f464,f545]) ).
fof(f834,plain,
! [X0] :
( nil = sK59(X0)
| hd(sK59(X0)) = sK24(sK59(X0))
| sP16(X0) ),
inference(resolution,[],[f464,f544]) ).
fof(f833,plain,
! [X0] :
( nil = sK58(X0)
| hd(sK58(X0)) = sK24(sK58(X0))
| sP16(X0) ),
inference(resolution,[],[f464,f543]) ).
fof(f832,plain,
! [X0] :
( nil = sK55(X0)
| hd(sK55(X0)) = sK24(sK55(X0))
| sP14(X0) ),
inference(resolution,[],[f464,f534]) ).
fof(f831,plain,
! [X0] :
( nil = sK54(X0)
| hd(sK54(X0)) = sK24(sK54(X0))
| sP14(X0) ),
inference(resolution,[],[f464,f533]) ).
fof(f830,plain,
! [X0] :
( nil = sK53(X0)
| hd(sK53(X0)) = sK24(sK53(X0))
| sP14(X0) ),
inference(resolution,[],[f464,f532]) ).
fof(f829,plain,
! [X0] :
( nil = sK50(X0)
| hd(sK50(X0)) = sK24(sK50(X0))
| sP12(X0) ),
inference(resolution,[],[f464,f522]) ).
fof(f828,plain,
! [X0] :
( nil = sK49(X0)
| hd(sK49(X0)) = sK24(sK49(X0))
| sP12(X0) ),
inference(resolution,[],[f464,f521]) ).
fof(f827,plain,
! [X0] :
( nil = sK48(X0)
| hd(sK48(X0)) = sK24(sK48(X0))
| sP12(X0) ),
inference(resolution,[],[f464,f520]) ).
fof(f826,plain,
! [X0] :
( nil = sK45(X0)
| hd(sK45(X0)) = sK24(sK45(X0))
| sP10(X0) ),
inference(resolution,[],[f464,f510]) ).
fof(f825,plain,
! [X0] :
( nil = sK44(X0)
| hd(sK44(X0)) = sK24(sK44(X0))
| sP10(X0) ),
inference(resolution,[],[f464,f509]) ).
fof(f824,plain,
! [X0] :
( nil = sK43(X0)
| hd(sK43(X0)) = sK24(sK43(X0))
| sP10(X0) ),
inference(resolution,[],[f464,f508]) ).
fof(f823,plain,
! [X0] :
( nil = sK40(X0)
| hd(sK40(X0)) = sK24(sK40(X0))
| sP8(X0) ),
inference(resolution,[],[f464,f498]) ).
fof(f822,plain,
! [X0] :
( nil = sK39(X0)
| hd(sK39(X0)) = sK24(sK39(X0))
| sP8(X0) ),
inference(resolution,[],[f464,f497]) ).
fof(f821,plain,
! [X0] :
( nil = sK38(X0)
| hd(sK38(X0)) = sK24(sK38(X0))
| sP8(X0) ),
inference(resolution,[],[f464,f496]) ).
fof(f820,plain,
! [X0] :
( nil = sK35(X0)
| hd(sK35(X0)) = sK24(sK35(X0))
| sP6(X0) ),
inference(resolution,[],[f464,f487]) ).
fof(f819,plain,
! [X0] :
( nil = sK34(X0)
| hd(sK34(X0)) = sK24(sK34(X0))
| sP6(X0) ),
inference(resolution,[],[f464,f486]) ).
fof(f818,plain,
! [X0] :
( nil = sK33(X0)
| hd(sK33(X0)) = sK24(sK33(X0))
| sP6(X0) ),
inference(resolution,[],[f464,f485]) ).
fof(f817,plain,
! [X0] :
( nil = sK30(X0)
| hd(sK30(X0)) = sK24(sK30(X0))
| sP4(X0) ),
inference(resolution,[],[f464,f476]) ).
fof(f816,plain,
! [X0] :
( nil = sK29(X0)
| hd(sK29(X0)) = sK24(sK29(X0))
| sP4(X0) ),
inference(resolution,[],[f464,f475]) ).
fof(f815,plain,
! [X0] :
( nil = sK25(X0)
| hd(sK25(X0)) = sK24(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f464,f465]) ).
fof(f814,plain,
! [X0] :
( nil = sK22(X0)
| hd(sK22(X0)) = sK24(sK22(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f464,f457]) ).
fof(f841,plain,
( hd(sK18) = sK24(sK18)
| spl69_4 ),
inference(forward_demodulation,[],[f840,f379]) ).
fof(f840,plain,
( hd(sK20) = sK24(sK20)
| spl69_4 ),
inference(subsumption_resolution,[],[f839,f669]) ).
fof(f809,plain,
! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK24(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f464,f461]) ).
fof(f807,plain,
! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK24(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f464,f565]) ).
fof(f836,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK24(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f806,f556]) ).
fof(f806,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK24(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f464,f555]) ).
fof(f805,plain,
! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f442,f407]) ).
fof(f804,plain,
! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) ),
inference(resolution,[],[f442,f417]) ).
fof(f803,plain,
! [X0] :
( nil = X0
| ~ sP2(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f442,f395]) ).
fof(f442,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f439,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f438,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f434,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f431,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f430,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f417,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f415,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ! [X1] :
( ( ( geq(X0,X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ geq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( geq(X0,X1)
<=> leq(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
fof(f414,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f413,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f788,plain,
! [X0] :
( sK60(X0) = app(nil,sK60(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f737,f681]) ).
fof(f737,plain,
! [X0] :
( sP16(X0)
| sK60(X0) = app(nil,sK60(X0)) ),
inference(resolution,[],[f456,f545]) ).
fof(f787,plain,
! [X0] :
( sK59(X0) = app(nil,sK59(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f736,f681]) ).
fof(f736,plain,
! [X0] :
( sP16(X0)
| sK59(X0) = app(nil,sK59(X0)) ),
inference(resolution,[],[f456,f544]) ).
fof(f786,plain,
! [X0] :
( sK58(X0) = app(nil,sK58(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f735,f681]) ).
fof(f735,plain,
! [X0] :
( sP16(X0)
| sK58(X0) = app(nil,sK58(X0)) ),
inference(resolution,[],[f456,f543]) ).
fof(f785,plain,
! [X0] :
( sK55(X0) = app(nil,sK55(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f734,f679]) ).
fof(f734,plain,
! [X0] :
( sP14(X0)
| sK55(X0) = app(nil,sK55(X0)) ),
inference(resolution,[],[f456,f534]) ).
fof(f784,plain,
! [X0] :
( sK54(X0) = app(nil,sK54(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f733,f679]) ).
fof(f733,plain,
! [X0] :
( sP14(X0)
| sK54(X0) = app(nil,sK54(X0)) ),
inference(resolution,[],[f456,f533]) ).
fof(f783,plain,
! [X0] :
( sK53(X0) = app(nil,sK53(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f732,f679]) ).
fof(f732,plain,
! [X0] :
( sP14(X0)
| sK53(X0) = app(nil,sK53(X0)) ),
inference(resolution,[],[f456,f532]) ).
fof(f781,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
inference(duplicate_literal_removal,[],[f780]) ).
fof(f780,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f411,f405]) ).
fof(f411,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ( ( gt(X0,X1)
| ~ lt(X1,X0) )
& ( lt(X1,X0)
| ~ gt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( gt(X0,X1)
<=> lt(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
fof(f731,plain,
! [X0] :
( sP12(X0)
| sK50(X0) = app(nil,sK50(X0)) ),
inference(resolution,[],[f456,f522]) ).
fof(f730,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = app(nil,sK49(X0)) ),
inference(resolution,[],[f456,f521]) ).
fof(f729,plain,
! [X0] :
( sP12(X0)
| sK48(X0) = app(nil,sK48(X0)) ),
inference(resolution,[],[f456,f520]) ).
fof(f728,plain,
! [X0] :
( sP10(X0)
| sK45(X0) = app(nil,sK45(X0)) ),
inference(resolution,[],[f456,f510]) ).
fof(f727,plain,
! [X0] :
( sP10(X0)
| sK44(X0) = app(nil,sK44(X0)) ),
inference(resolution,[],[f456,f509]) ).
fof(f726,plain,
! [X0] :
( sP10(X0)
| sK43(X0) = app(nil,sK43(X0)) ),
inference(resolution,[],[f456,f508]) ).
fof(f725,plain,
! [X0] :
( sP8(X0)
| sK40(X0) = app(nil,sK40(X0)) ),
inference(resolution,[],[f456,f498]) ).
fof(f724,plain,
! [X0] :
( sP8(X0)
| sK39(X0) = app(nil,sK39(X0)) ),
inference(resolution,[],[f456,f497]) ).
fof(f723,plain,
! [X0] :
( sP8(X0)
| sK38(X0) = app(nil,sK38(X0)) ),
inference(resolution,[],[f456,f496]) ).
fof(f722,plain,
! [X0] :
( sP6(X0)
| sK35(X0) = app(nil,sK35(X0)) ),
inference(resolution,[],[f456,f487]) ).
fof(f721,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = app(nil,sK34(X0)) ),
inference(resolution,[],[f456,f486]) ).
fof(f410,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f720,plain,
! [X0] :
( sP6(X0)
| sK33(X0) = app(nil,sK33(X0)) ),
inference(resolution,[],[f456,f485]) ).
fof(f719,plain,
! [X0] :
( sP4(X0)
| sK30(X0) = app(nil,sK30(X0)) ),
inference(resolution,[],[f456,f476]) ).
fof(f718,plain,
! [X0] :
( sP4(X0)
| sK29(X0) = app(nil,sK29(X0)) ),
inference(resolution,[],[f456,f475]) ).
fof(f778,plain,
! [X0] :
( sK60(X0) = app(sK60(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f710,f681]) ).
fof(f710,plain,
! [X0] :
( sP16(X0)
| sK60(X0) = app(sK60(X0),nil) ),
inference(resolution,[],[f455,f545]) ).
fof(f777,plain,
! [X0] :
( sK59(X0) = app(sK59(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f709,f681]) ).
fof(f709,plain,
! [X0] :
( sP16(X0)
| sK59(X0) = app(sK59(X0),nil) ),
inference(resolution,[],[f455,f544]) ).
fof(f776,plain,
! [X0] :
( sK58(X0) = app(sK58(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f708,f681]) ).
fof(f708,plain,
! [X0] :
( sP16(X0)
| sK58(X0) = app(sK58(X0),nil) ),
inference(resolution,[],[f455,f543]) ).
fof(f775,plain,
! [X0] :
( sK55(X0) = app(sK55(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f707,f679]) ).
fof(f707,plain,
! [X0] :
( sP14(X0)
| sK55(X0) = app(sK55(X0),nil) ),
inference(resolution,[],[f455,f534]) ).
fof(f774,plain,
! [X0] :
( sK54(X0) = app(sK54(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f706,f679]) ).
fof(f706,plain,
! [X0] :
( sP14(X0)
| sK54(X0) = app(sK54(X0),nil) ),
inference(resolution,[],[f455,f533]) ).
fof(f773,plain,
! [X0] :
( sK53(X0) = app(sK53(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f705,f679]) ).
fof(f705,plain,
! [X0] :
( sP14(X0)
| sK53(X0) = app(sK53(X0),nil) ),
inference(resolution,[],[f455,f532]) ).
fof(f704,plain,
! [X0] :
( sP12(X0)
| sK50(X0) = app(sK50(X0),nil) ),
inference(resolution,[],[f455,f522]) ).
fof(f703,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = app(sK49(X0),nil) ),
inference(resolution,[],[f455,f521]) ).
fof(f407,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
fof(f702,plain,
! [X0] :
( sP12(X0)
| sK48(X0) = app(sK48(X0),nil) ),
inference(resolution,[],[f455,f520]) ).
fof(f701,plain,
! [X0] :
( sP10(X0)
| sK45(X0) = app(sK45(X0),nil) ),
inference(resolution,[],[f455,f510]) ).
fof(f700,plain,
! [X0] :
( sP10(X0)
| sK44(X0) = app(sK44(X0),nil) ),
inference(resolution,[],[f455,f509]) ).
fof(f699,plain,
! [X0] :
( sP10(X0)
| sK43(X0) = app(sK43(X0),nil) ),
inference(resolution,[],[f455,f508]) ).
fof(f698,plain,
! [X0] :
( sP8(X0)
| sK40(X0) = app(sK40(X0),nil) ),
inference(resolution,[],[f455,f498]) ).
fof(f697,plain,
! [X0] :
( sP8(X0)
| sK39(X0) = app(sK39(X0),nil) ),
inference(resolution,[],[f455,f497]) ).
fof(f696,plain,
! [X0] :
( sP8(X0)
| sK38(X0) = app(sK38(X0),nil) ),
inference(resolution,[],[f455,f496]) ).
fof(f695,plain,
! [X0] :
( sP6(X0)
| sK35(X0) = app(sK35(X0),nil) ),
inference(resolution,[],[f455,f487]) ).
fof(f694,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = app(sK34(X0),nil) ),
inference(resolution,[],[f455,f486]) ).
fof(f693,plain,
! [X0] :
( sP6(X0)
| sK33(X0) = app(sK33(X0),nil) ),
inference(resolution,[],[f455,f485]) ).
fof(f692,plain,
! [X0] :
( sP4(X0)
| sK30(X0) = app(sK30(X0),nil) ),
inference(resolution,[],[f455,f476]) ).
fof(f405,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
fof(f691,plain,
! [X0] :
( sP4(X0)
| sK29(X0) = app(sK29(X0),nil) ),
inference(resolution,[],[f455,f475]) ).
fof(f766,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) ),
inference(resolution,[],[f565,f455]) ).
fof(f765,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f565,f456]) ).
fof(f565,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f764,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) ),
inference(resolution,[],[f555,f455]) ).
fof(f763,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f555,f456]) ).
fof(f555,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f553,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f551,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f549,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f747,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(sK25(X0),nil) ),
inference(resolution,[],[f465,f455]) ).
fof(f746,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(nil,sK25(X0)) ),
inference(resolution,[],[f465,f456]) ).
fof(f465,plain,
! [X0] :
( ssList(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f463,plain,
! [X0] :
( ssItem(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f745,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f461,f455]) ).
fof(f744,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f461,f456]) ).
fof(f461,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f460,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f458,plain,
! [X0] :
( ssItem(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f743,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK22(X0) = app(sK22(X0),nil) ),
inference(resolution,[],[f457,f455]) ).
fof(f742,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK22(X0) = app(nil,sK22(X0)) ),
inference(resolution,[],[f457,f456]) ).
fof(f457,plain,
! [X0] :
( ssList(sK22(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f441,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f433,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f547,plain,
! [X0] :
( ~ lt(sK56(X0),sK57(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0] :
( ( sP16(X0)
| ( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
& ssList(sK60(X0))
& ssList(sK59(X0))
& ssList(sK58(X0))
& ssItem(sK57(X0))
& ssItem(sK56(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57,sK58,sK59,sK60])],[f340,f345,f344,f343,f342,f341]) ).
fof(f341,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),X2)
& app(app(X3,cons(sK56(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),X2)
& app(app(X3,cons(sK56(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(X3,cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(X3,cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
& ssList(sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(rectify,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP16(X0) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( sP16(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f536,plain,
! [X0] :
( ~ leq(sK51(X0),sK52(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
! [X0] :
( ( sP14(X0)
| ( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
& ssList(sK55(X0))
& ssList(sK54(X0))
& ssList(sK53(X0))
& ssItem(sK52(X0))
& ssItem(sK51(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54,sK55])],[f331,f336,f335,f334,f333,f332]) ).
fof(f332,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),X2)
& app(app(X3,cons(sK51(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),X2)
& app(app(X3,cons(sK51(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(X3,cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(X3,cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
& ssList(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP14(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f525,plain,
! [X0] :
( leq(sK47(X0),sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( sP12(X0)
| ( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0
& ssList(sK50(X0))
& ssList(sK49(X0))
& ssList(sK48(X0))
& ssItem(sK47(X0))
& ssItem(sK46(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49,sK50])],[f322,f327,f326,f325,f324,f323]) ).
fof(f323,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK46(X0))
& leq(sK46(X0),X2)
& app(app(X3,cons(sK46(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK46(X0))
& leq(sK46(X0),X2)
& app(app(X3,cons(sK46(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(X3,cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(X3,cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0
& ssList(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(rectify,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP12(X0) ) ),
inference(nnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sP12(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f524,plain,
! [X0] :
( leq(sK46(X0),sK47(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f513,plain,
! [X0] :
( ~ lt(sK42(X0),sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0] :
( ( sP10(X0)
| ( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
& ssList(sK45(X0))
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssItem(sK42(X0))
& ssItem(sK41(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44,sK45])],[f313,f318,f317,f316,f315,f314]) ).
fof(f314,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK41(X0))
& ~ lt(sK41(X0),X2)
& app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK41(X0))
& ~ lt(sK41(X0),X2)
& app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
& ssList(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(rectify,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP10(X0) ) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP10(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f512,plain,
! [X0] :
( ~ lt(sK41(X0),sK42(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f501,plain,
! [X0] :
( ~ leq(sK37(X0),sK36(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ( sP8(X0)
| ( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
& ssList(sK40(X0))
& ssList(sK39(X0))
& ssList(sK38(X0))
& ssItem(sK37(X0))
& ssItem(sK36(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40])],[f304,f309,f308,f307,f306,f305]) ).
fof(f305,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK36(X0))
& ~ leq(sK36(X0),X2)
& app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK36(X0))
& ~ leq(sK36(X0),X2)
& app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
& ssList(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(rectify,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP8(X0) ) ),
inference(nnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( sP8(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f500,plain,
! [X0] :
( ~ leq(sK36(X0),sK37(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f489,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = sK32(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0] :
( ( sP6(X0)
| ( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0
& ssList(sK35(X0))
& ssList(sK34(X0))
& ssList(sK33(X0))
& ssItem(sK32(X0))
& ssItem(sK31(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35])],[f295,f300,f299,f298,f297,f296]) ).
fof(f296,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = X2
& app(app(X3,cons(sK31(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = X2
& app(app(X3,cons(sK31(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(X3,cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(X3,cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),X5)) = X0
& ssList(X5) )
=> ( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0
& ssList(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(rectify,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP6(X0) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP6(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f478,plain,
! [X0] :
( sK27(X0) != sK28(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( ( sP4(X0)
| ( sK27(X0) != sK28(X0)
& app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0
& ssList(sK30(X0))
& ssList(sK29(X0))
& ssItem(sK28(X0))
& ssItem(sK27(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30])],[f287,f291,f290,f289,f288]) ).
fof(f288,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK27(X0) != X2
& app(X3,cons(sK27(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f289,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK27(X0) != X2
& app(X3,cons(sK27(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( sK27(X0) != sK28(X0)
& app(X3,cons(sK27(X0),cons(sK28(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( sK27(X0) != sK28(X0)
& app(X3,cons(sK27(X0),cons(sK28(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( sK27(X0) != sK28(X0)
& app(sK29(X0),cons(sK27(X0),cons(sK28(X0),X4))) = X0
& ssList(X4) )
& ssList(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ? [X4] :
( sK27(X0) != sK28(X0)
& app(sK29(X0),cons(sK27(X0),cons(sK28(X0),X4))) = X0
& ssList(X4) )
=> ( sK27(X0) != sK28(X0)
& app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0
& ssList(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f287,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( sP4(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f739,plain,
sK19 = app(nil,sK19),
inference(forward_demodulation,[],[f717,f378]) ).
fof(f717,plain,
sK21 = app(nil,sK21),
inference(resolution,[],[f456,f377]) ).
fof(f738,plain,
sK18 = app(nil,sK18),
inference(forward_demodulation,[],[f716,f379]) ).
fof(f716,plain,
sK20 = app(nil,sK20),
inference(resolution,[],[f456,f376]) ).
fof(f687,plain,
sK18 = app(sK18,nil),
inference(resolution,[],[f455,f374]) ).
fof(f712,plain,
sK19 = app(sK19,nil),
inference(forward_demodulation,[],[f690,f378]) ).
fof(f690,plain,
sK21 = app(sK21,nil),
inference(resolution,[],[f455,f377]) ).
fof(f711,plain,
sK18 = app(sK18,nil),
inference(forward_demodulation,[],[f689,f379]) ).
fof(f689,plain,
sK20 = app(sK20,nil),
inference(resolution,[],[f455,f376]) ).
fof(f445,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f227,f226]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(f681,plain,
! [X0] :
( ~ sP16(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f539,f548]) ).
fof(f680,plain,
! [X0] :
( sP16(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f538,f548]) ).
fof(f679,plain,
! [X0] :
( ~ sP14(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f528,f537]) ).
fof(f678,plain,
! [X0] :
( sP14(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f527,f537]) ).
fof(f677,plain,
! [X0] :
( sP12(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f515,f526]) ).
fof(f676,plain,
! [X0] :
( sP10(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f503,f514]) ).
fof(f675,plain,
! [X0] :
( sP8(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f491,f502]) ).
fof(f674,plain,
! [X0] :
( sP6(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f480,f490]) ).
fof(f437,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f137,f224,f223]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
fof(f673,plain,
! [X0] :
( sP4(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f470,f479]) ).
fof(f539,plain,
! [X0] :
( ~ sP17(X0)
| ~ sP16(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP16(X0) )
& ( sP16(X0)
| ~ strictorderedP(X0) ) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP16(X0) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f538,plain,
! [X0] :
( ~ sP17(X0)
| ~ strictorderedP(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f528,plain,
! [X0] :
( ~ sP15(X0)
| ~ sP14(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ totalorderedP(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f527,plain,
! [X0] :
( ~ sP15(X0)
| ~ totalorderedP(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f515,plain,
! [X0] :
( ~ sP13(X0)
| ~ cyclefreeP(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP12(X0) )
& ( sP12(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP12(X0) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f503,plain,
! [X0] :
( ~ sP11(X0)
| ~ strictorderP(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP10(X0) )
& ( sP10(X0)
| ~ strictorderP(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP10(X0) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f491,plain,
! [X0] :
( ~ sP9(X0)
| ~ totalorderP(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP8(X0) )
& ( sP8(X0)
| ~ totalorderP(X0) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP8(X0) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f480,plain,
! [X0] :
( ~ sP7(X0)
| ~ duplicatefreeP(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP6(X0) )
& ( sP6(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP6(X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f470,plain,
! [X0] :
( ~ sP5(X0)
| ~ equalelemsP(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ equalelemsP(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP4(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f404,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f403,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f402,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
fof(f401,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
fof(f400,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(f399,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
fof(f398,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
fof(f639,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f410,f413,f635,f415,f414,f418,f417,f634,f419,f420,f421,f422,f423,f426,f633,f424,f632,f428,f427,f431,f430,f436,f606,f434,f433,f437,f439,f438,f444,f608,f442,f441,f445,f448,f447,f446,f449,f450,f451,f452,f453,f454,f455,f456,f459,f458,f457,f460,f461,f462,f464,f463,f466,f465,f610,f468,f467,f470,f478,f477,f476,f475,f474,f473,f611,f479,f480,f489,f488,f487,f486,f485,f484,f483,f631,f490,f491,f501,f500,f499,f498,f497,f496,f495,f494,f614,f502,f503,f513,f512,f511,f510,f509,f508,f507,f506,f615,f514,f515,f525,f524,f523,f522,f521,f520,f519,f518,f616,f526,f528,f527,f536,f535,f534,f533,f532,f531,f530,f617,f537,f539,f538,f547,f546,f545,f544,f543,f542,f541,f618,f548,f619,f636,f549,f620,f637,f551,f621,f638,f553,f555,f556,f557,f558,f559,f560,f622,f563,f562,f561,f565,f566,f567,f568,f569,f570,f571,f573,f630,f624,f575,f574,f625,f579,f578,f577,f626,f582,f581,f629]) ).
fof(f635,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f602]) ).
fof(f602,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f412]) ).
fof(f412,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f630,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f623]) ).
fof(f623,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f572]) ).
fof(f572,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f545,plain,
! [X0] :
( ssList(sK60(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f544,plain,
! [X0] :
( ssList(sK59(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f543,plain,
! [X0] :
( ssList(sK58(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f542,plain,
! [X0] :
( ssItem(sK57(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f541,plain,
! [X0] :
( ssItem(sK56(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f534,plain,
! [X0] :
( ssList(sK55(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f533,plain,
! [X0] :
( ssList(sK54(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f532,plain,
! [X0] :
( ssList(sK53(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f531,plain,
! [X0] :
( ssItem(sK52(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f530,plain,
! [X0] :
( ssItem(sK51(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f522,plain,
! [X0] :
( ssList(sK50(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f521,plain,
! [X0] :
( ssList(sK49(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f520,plain,
! [X0] :
( ssList(sK48(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f519,plain,
! [X0] :
( ssItem(sK47(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f518,plain,
! [X0] :
( ssItem(sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f510,plain,
! [X0] :
( ssList(sK45(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f509,plain,
! [X0] :
( ssList(sK44(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f508,plain,
! [X0] :
( ssList(sK43(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f507,plain,
! [X0] :
( ssItem(sK42(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f506,plain,
! [X0] :
( ssItem(sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f498,plain,
! [X0] :
( ssList(sK40(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f497,plain,
! [X0] :
( ssList(sK39(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f496,plain,
! [X0] :
( ssList(sK38(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f495,plain,
! [X0] :
( ssItem(sK37(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f494,plain,
! [X0] :
( ssItem(sK36(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f487,plain,
! [X0] :
( ssList(sK35(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f486,plain,
! [X0] :
( ssList(sK34(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f485,plain,
! [X0] :
( ssList(sK33(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f484,plain,
! [X0] :
( ssItem(sK32(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f483,plain,
! [X0] :
( ssItem(sK31(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f476,plain,
! [X0] :
( ssList(sK30(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f475,plain,
! [X0] :
( ssList(sK29(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f474,plain,
! [X0] :
( ssItem(sK28(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f473,plain,
! [X0] :
( ssItem(sK27(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f454,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f453,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(f452,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f451,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f450,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f449,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f397,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
fof(f396,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
fof(f395,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
fof(f394,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f669,plain,
( nil != sK18
| spl69_4 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl69_4
<=> nil = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f642,plain,
( nil = sK18
| nil != sK21 ),
inference(forward_demodulation,[],[f381,f379]) ).
fof(f658,plain,
neq(sK18,nil),
inference(subsumption_resolution,[],[f657,f380]) ).
fof(f657,plain,
( ~ neq(sK19,nil)
| neq(sK18,nil) ),
inference(forward_demodulation,[],[f652,f378]) ).
fof(f652,plain,
( neq(sK18,nil)
| ~ neq(sK21,nil) ),
inference(forward_demodulation,[],[f383,f379]) ).
fof(f382,plain,
( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) ),
inference(cnf_transformation,[],[f254]) ).
fof(f548,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f174,f248,f247]) ).
fof(f174,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f537,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f172,f245,f244]) ).
fof(f172,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f526,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f170,f242,f241]) ).
fof(f170,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f514,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f168,f239,f238]) ).
fof(f168,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f502,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f166,f236,f235]) ).
fof(f166,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f490,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f164,f233,f232]) ).
fof(f164,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f479,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f162,f230,f229]) ).
fof(f162,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f638,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f410,f413,f635,f415,f414,f418,f417,f634,f419,f420,f421,f422,f423,f426,f633,f424,f632,f428,f427,f431,f430,f436,f606,f434,f433,f437,f439,f438,f444,f608,f442,f441,f445,f448,f447,f446,f449,f450,f451,f452,f453,f454,f455,f456,f459,f458,f457,f460,f461,f462,f464,f463,f466,f465,f610,f468,f467,f470,f478,f477,f476,f475,f474,f473,f611,f479,f480,f489,f488,f487,f486,f485,f484,f483,f631,f490,f491,f501,f500,f499,f498,f497,f496,f495,f494,f614,f502,f503,f513,f512,f511,f510,f509,f508,f507,f506,f615,f514,f515,f525,f524,f523,f522,f521,f520,f519,f518,f616,f526,f528,f527,f536,f535,f534,f533,f532,f531,f530,f617,f537,f539,f538,f547,f546,f545,f544,f543,f542,f541,f618,f548,f619,f636,f549,f620,f637,f551,f621]) ).
fof(f637,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f410,f413,f635,f415,f414,f418,f417,f634,f419,f420,f421,f422,f423,f426,f633,f424,f632,f428,f427,f431,f430,f436,f606,f434,f433,f437,f439,f438,f444,f608,f442,f441,f445,f448,f447,f446,f449,f450,f451,f452,f453,f454,f455,f456,f459,f458,f457,f460,f461,f462,f464,f463,f466,f465,f610,f468,f467,f470,f478,f477,f476,f475,f474,f473,f611,f479,f480,f489,f488,f487,f486,f485,f484,f483,f631,f490,f491,f501,f500,f499,f498,f497,f496,f495,f494,f614,f502,f503,f513,f512,f511,f510,f509,f508,f507,f506,f615,f514,f515,f525,f524,f523,f522,f521,f520,f519,f518,f616,f526,f528,f527,f536,f535,f534,f533,f532,f531,f530,f617,f537,f539,f538,f547,f546,f545,f544,f543,f542,f541,f618,f548,f619,f636,f549,f620]) ).
fof(f636,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f410,f413,f635,f415,f414,f418,f417,f634,f419,f420,f421,f422,f423,f426,f633,f424,f632,f428,f427,f431,f430,f436,f606,f434,f433,f437,f439,f438,f444,f608,f442,f441,f445,f448,f447,f446,f449,f450,f451,f452,f453,f454,f455,f456,f459,f458,f457,f460,f461,f462,f464,f463,f466,f465,f610,f468,f467,f470,f478,f477,f476,f475,f474,f473,f611,f479,f480,f489,f488,f487,f486,f485,f484,f483,f631,f490,f491,f501,f500,f499,f498,f497,f496,f495,f494,f614,f502,f503,f513,f512,f511,f510,f509,f508,f507,f506,f615,f514,f515,f525,f524,f523,f522,f521,f520,f519,f518,f616,f526,f528,f527,f536,f535,f534,f533,f532,f531,f530,f617,f537,f539,f538,f547,f546,f545,f544,f543,f542,f541,f618,f548,f619]) ).
fof(f608,plain,
! [X1] : sP2(nil,X1),
inference(equality_resolution,[],[f443]) ).
fof(f443,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f606,plain,
! [X1] : sP0(nil,X1),
inference(equality_resolution,[],[f435]) ).
fof(f435,plain,
! [X0,X1] :
( sP0(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f267]) ).
fof(f601,plain,
sK67 != sK68,
inference(cnf_transformation,[],[f373]) ).
fof(f600,plain,
ssItem(sK68),
inference(cnf_transformation,[],[f373]) ).
fof(f392,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f391,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f390,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
fof(f389,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
fof(f388,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f387,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f386,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f377,plain,
ssList(sK21),
inference(cnf_transformation,[],[f254]) ).
fof(f376,plain,
ssList(sK20),
inference(cnf_transformation,[],[f254]) ).
fof(f598,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
fof(f597,plain,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| rearsegP(X0,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f595,plain,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| frontsegP(X0,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
fof(f594,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
fof(f593,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
fof(f592,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
fof(f591,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
fof(f590,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f588,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X2 = X3
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f589,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X0 = X1
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f587,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f584,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f585,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f629,plain,
( nil = app(nil,nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f628]) ).
fof(f628,plain,
( nil = app(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f627]) ).
fof(f627,plain,
! [X1] :
( nil = app(nil,X1)
| nil != X1
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f586]) ).
fof(f586,plain,
! [X0,X1] :
( nil = app(X0,X1)
| nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f626,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f583]) ).
fof(f583,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f579,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f575,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK63(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f624,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f576]) ).
fof(f576,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f571,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
fof(f570,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f569,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f568,plain,
! [X0,X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( tl(X0) = tl(X1)
& hd(X0) = hd(X1)
& nil != X0
& nil != X1 )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
fof(f567,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
fof(f566,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
fof(f563,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f622,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f564]) ).
fof(f564,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f621,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f554]) ).
fof(f554,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f620,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f552]) ).
fof(f552,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f619,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f550]) ).
fof(f550,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f618,plain,
! [X10,X8,X6,X9,X7] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f540]) ).
fof(f540,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f546,plain,
! [X0] :
( sP16(X0)
| app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0 ),
inference(cnf_transformation,[],[f346]) ).
fof(f617,plain,
! [X10,X8,X6,X9,X7] :
( leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f529]) ).
fof(f529,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f535,plain,
! [X0] :
( sP14(X0)
| app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0 ),
inference(cnf_transformation,[],[f337]) ).
fof(f616,plain,
! [X10,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f517]) ).
fof(f517,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f523,plain,
! [X0] :
( sP12(X0)
| app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0 ),
inference(cnf_transformation,[],[f328]) ).
fof(f615,plain,
! [X10,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f505]) ).
fof(f505,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f511,plain,
! [X0] :
( sP10(X0)
| app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0 ),
inference(cnf_transformation,[],[f319]) ).
fof(f614,plain,
! [X10,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f493]) ).
fof(f493,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f499,plain,
! [X0] :
( sP8(X0)
| app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0 ),
inference(cnf_transformation,[],[f310]) ).
fof(f631,plain,
! [X10,X8,X9,X7] :
( ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssList(X10) ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f613,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f612]) ).
fof(f612,plain,
! [X10,X0,X8,X9,X7] :
( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(X0) ),
inference(equality_resolution,[],[f482]) ).
fof(f482,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f488,plain,
! [X0] :
( sP6(X0)
| app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f611,plain,
! [X8,X6,X7,X5] :
( ~ sP4(app(X7,cons(X5,cons(X6,X8))))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| X5 = X6 ),
inference(equality_resolution,[],[f472]) ).
fof(f472,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f477,plain,
! [X0] :
( sP4(X0)
| app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 ),
inference(cnf_transformation,[],[f292]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f447,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f448,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f427,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
fof(f428,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f632,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f605]) ).
fof(f605,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X2,X3,X0,X1] :
( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f426,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| geq(X0,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X0,X1) )
=> geq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
fof(f419,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
fof(f634,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f603]) ).
fof(f603,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f416]) ).
fof(f416,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f418,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f409,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f408,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( geq(X1,X0)
& geq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
fof(f406,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( lt(X0,X1)
| X0 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
fof(f381,plain,
( nil != sK21
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f383,plain,
( neq(sK20,nil)
| ~ neq(sK21,nil) ),
inference(cnf_transformation,[],[f254]) ).
fof(f6217,plain,
( ~ singletonP(sK18)
| ~ ssList(sK18)
| spl69_49 ),
inference(resolution,[],[f6210,f467]) ).
fof(f6210,plain,
( ~ ssItem(sK26(sK18))
| spl69_49 ),
inference(avatar_component_clause,[],[f6208]) ).
fof(f6208,plain,
( spl69_49
<=> ssItem(sK26(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_49])]) ).
fof(f6215,plain,
( ~ spl69_49
| spl69_50
| spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47 ),
inference(avatar_split_clause,[],[f6203,f6071,f5592,f1741,f668,f6212,f6208]) ).
fof(f6212,plain,
( spl69_50
<=> memberP(sK18,sK26(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_50])]) ).
fof(f6203,plain,
( memberP(sK18,sK26(sK18))
| ~ ssItem(sK26(sK18))
| spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47 ),
inference(subsumption_resolution,[],[f6193,f393]) ).
fof(f6193,plain,
( memberP(sK18,sK26(sK18))
| ~ ssList(nil)
| ~ ssItem(sK26(sK18))
| spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47 ),
inference(superposition,[],[f633,f6160]) ).
fof(f6160,plain,
( sK18 = cons(sK26(sK18),nil)
| spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47 ),
inference(subsumption_resolution,[],[f6155,f374]) ).
fof(f6155,plain,
( sK18 = cons(sK26(sK18),nil)
| ~ ssList(sK18)
| spl69_4
| ~ spl69_11
| ~ spl69_45
| ~ spl69_47 ),
inference(resolution,[],[f6131,f468]) ).
fof(f6078,plain,
( spl69_47
| spl69_48
| spl69_4
| ~ spl69_5
| ~ spl69_11
| ~ spl69_13 ),
inference(avatar_split_clause,[],[f5319,f1760,f1741,f1536,f668,f6075,f6071]) ).
fof(f6075,plain,
( spl69_48
<=> hd(tl(sK18)) = sK24(tl(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_48])]) ).
fof(f1536,plain,
( spl69_5
<=> ssItem(sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).
fof(f1760,plain,
( spl69_13
<=> ssList(sK22(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).
fof(f5319,plain,
( hd(tl(sK18)) = sK24(tl(sK18))
| nil = tl(sK18)
| spl69_4
| ~ spl69_5
| ~ spl69_11
| ~ spl69_13 ),
inference(forward_demodulation,[],[f5318,f2122]) ).
fof(f2122,plain,
( tl(sK18) = sK22(sK18)
| spl69_4
| ~ spl69_5
| ~ spl69_11
| ~ spl69_13 ),
inference(forward_demodulation,[],[f2100,f1923]) ).
fof(f1923,plain,
( sK18 = cons(hd(sK18),sK22(sK18))
| spl69_4
| ~ spl69_5
| ~ spl69_13 ),
inference(superposition,[],[f1653,f1919]) ).
fof(f1919,plain,
( hd(sK18) = sK23(sK18)
| spl69_4
| ~ spl69_5
| ~ spl69_13 ),
inference(forward_demodulation,[],[f1899,f1653]) ).
fof(f1899,plain,
( sK23(sK18) = hd(cons(sK23(sK18),sK22(sK18)))
| ~ spl69_5
| ~ spl69_13 ),
inference(resolution,[],[f1779,f1537]) ).
fof(f1537,plain,
( ssItem(sK23(sK18))
| ~ spl69_5 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1779,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK22(sK18))) = X0 )
| ~ spl69_13 ),
inference(resolution,[],[f1761,f559]) ).
fof(f1761,plain,
( ssList(sK22(sK18))
| ~ spl69_13 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f1653,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375,f1649,f1555,f1650,f1421,f1651,f1552,f1652,f1475]) ).
fof(f1652,plain,
( sK19 = tl(cons(sK24(sK18),sK19))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375,f1649,f1555,f1650,f1421,f1651,f1552]) ).
fof(f1651,plain,
( sK19 = tl(cons(sK24(sK18),sK19))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375,f1649,f1555,f1650,f1421]) ).
fof(f1650,plain,
( sK19 = tl(cons(sK23(sK18),sK19))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375,f1649,f1555]) ).
fof(f1649,plain,
( sK19 = tl(cons(sK23(sK18),sK19))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375]) ).
fof(f1648,plain,
( sK19 = tl(cons(hd(sK18),sK19))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558]) ).
fof(f1647,plain,
( sK19 = tl(cons(hd(sK18),sK19))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321]) ).
fof(f1646,plain,
( sK18 = tl(cons(sK24(sK18),sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561]) ).
fof(f1645,plain,
( sK18 = tl(cons(sK24(sK18),sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273]) ).
fof(f1644,plain,
( sK18 = tl(cons(sK23(sK18),sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564]) ).
fof(f1643,plain,
( sK18 = tl(cons(sK23(sK18),sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227]) ).
fof(f1642,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567]) ).
fof(f1641,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172]) ).
fof(f1640,plain,
( tl(sK18) = sK25(sK18)
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570]) ).
fof(f1639,plain,
( tl(sK18) = sK25(sK18)
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850]) ).
fof(f1638,plain,
( hd(sK18) = sK24(sK18)
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f850,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573]) ).
fof(f1637,plain,
( hd(sK18) = sK24(sK18)
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f850,f1573,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810]) ).
fof(f1636,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| spl69_4 ),
inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f850,f1573,f810,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593]) ).
fof(f1593,plain,
( nil = sK18
| sK18 = cons(hd(sK18),tl(sK18)) ),
inference(resolution,[],[f462,f374]) ).
fof(f2100,plain,
( sK22(sK18) = tl(cons(hd(sK18),sK22(sK18)))
| ~ spl69_11
| ~ spl69_13 ),
inference(resolution,[],[f1778,f1742]) ).
fof(f1778,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK22(sK18) = tl(cons(X0,sK22(sK18))) )
| ~ spl69_13 ),
inference(resolution,[],[f1761,f558]) ).
fof(f5318,plain,
( nil = tl(sK18)
| hd(sK22(sK18)) = sK24(sK22(sK18))
| spl69_4
| ~ spl69_5
| ~ spl69_11
| ~ spl69_13 ),
inference(forward_demodulation,[],[f1776,f2122]) ).
fof(f1776,plain,
( nil = sK22(sK18)
| hd(sK22(sK18)) = sK24(sK22(sK18))
| ~ spl69_13 ),
inference(resolution,[],[f1761,f464]) ).
fof(f5603,plain,
( ~ spl69_11
| spl69_45 ),
inference(avatar_contradiction_clause,[],[f5602]) ).
fof(f5602,plain,
( $false
| ~ spl69_11
| spl69_45 ),
inference(subsumption_resolution,[],[f5601,f393]) ).
fof(f5601,plain,
( ~ ssList(nil)
| ~ spl69_11
| spl69_45 ),
inference(subsumption_resolution,[],[f5600,f1742]) ).
fof(f5600,plain,
( ~ ssItem(hd(sK18))
| ~ ssList(nil)
| spl69_45 ),
inference(resolution,[],[f5594,f555]) ).
fof(f5594,plain,
( ~ ssList(cons(hd(sK18),nil))
| spl69_45 ),
inference(avatar_component_clause,[],[f5592]) ).
fof(f5599,plain,
( ~ spl69_45
| spl69_46
| ~ spl69_11 ),
inference(avatar_split_clause,[],[f5506,f1741,f5596,f5592]) ).
fof(f5596,plain,
( spl69_46
<=> ssList(cons(hd(sK18),sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_46])]) ).
fof(f5506,plain,
( ssList(cons(hd(sK18),sK18))
| ~ ssList(cons(hd(sK18),nil))
| ~ spl69_11 ),
inference(subsumption_resolution,[],[f5492,f374]) ).
fof(f5492,plain,
( ssList(cons(hd(sK18),sK18))
| ~ ssList(sK18)
| ~ ssList(cons(hd(sK18),nil))
| ~ spl69_11 ),
inference(superposition,[],[f565,f2410]) ).
fof(f2410,plain,
( cons(hd(sK18),sK18) = app(cons(hd(sK18),nil),sK18)
| ~ spl69_11 ),
inference(resolution,[],[f1962,f1742]) ).
fof(f5426,plain,
( ~ spl69_9
| spl69_43 ),
inference(avatar_contradiction_clause,[],[f5425]) ).
fof(f5425,plain,
( $false
| ~ spl69_9
| spl69_43 ),
inference(subsumption_resolution,[],[f5424,f393]) ).
fof(f5424,plain,
( ~ ssList(nil)
| ~ spl69_9
| spl69_43 ),
inference(subsumption_resolution,[],[f5423,f1718]) ).
fof(f5423,plain,
( ~ ssItem(hd(sK19))
| ~ ssList(nil)
| spl69_43 ),
inference(resolution,[],[f5417,f555]) ).
fof(f5417,plain,
( ~ ssList(cons(hd(sK19),nil))
| spl69_43 ),
inference(avatar_component_clause,[],[f5415]) ).
fof(f5422,plain,
( ~ spl69_43
| spl69_44
| ~ spl69_9 ),
inference(avatar_split_clause,[],[f5344,f1717,f5419,f5415]) ).
fof(f5419,plain,
( spl69_44
<=> ssList(cons(hd(sK19),sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_44])]) ).
fof(f5344,plain,
( ssList(cons(hd(sK19),sK18))
| ~ ssList(cons(hd(sK19),nil))
| ~ spl69_9 ),
inference(subsumption_resolution,[],[f5330,f374]) ).
fof(f5330,plain,
( ssList(cons(hd(sK19),sK18))
| ~ ssList(sK18)
| ~ ssList(cons(hd(sK19),nil))
| ~ spl69_9 ),
inference(superposition,[],[f565,f2409]) ).
fof(f2409,plain,
( cons(hd(sK19),sK18) = app(cons(hd(sK19),nil),sK18)
| ~ spl69_9 ),
inference(resolution,[],[f1962,f1718]) ).
fof(f5156,plain,
spl69_41,
inference(avatar_contradiction_clause,[],[f5155]) ).
fof(f5155,plain,
( $false
| spl69_41 ),
inference(subsumption_resolution,[],[f5154,f393]) ).
fof(f5154,plain,
( ~ ssList(nil)
| spl69_41 ),
inference(subsumption_resolution,[],[f5153,f636]) ).
fof(f5153,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| spl69_41 ),
inference(duplicate_literal_removal,[],[f5152]) ).
fof(f5152,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| spl69_41 ),
inference(resolution,[],[f5146,f574]) ).
fof(f5146,plain,
( ~ ssList(sK63(nil,nil))
| spl69_41 ),
inference(avatar_component_clause,[],[f5144]) ).
fof(f5144,plain,
( spl69_41
<=> ssList(sK63(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_41])]) ).
fof(f5151,plain,
( ~ spl69_41
| spl69_42
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30
| ~ spl69_31 ),
inference(avatar_split_clause,[],[f5142,f3412,f3249,f3245,f3038,f5148,f5144]) ).
fof(f5148,plain,
( spl69_42
<=> nil = sK63(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_42])]) ).
fof(f3245,plain,
( spl69_29
<=> ssList(sK63(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_29])]) ).
fof(f3249,plain,
( spl69_30
<=> rearsegP(sK19,sK63(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_30])]) ).
fof(f3412,plain,
( spl69_31
<=> ssList(sK66(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).
fof(f5142,plain,
( nil = sK63(nil,nil)
| ~ ssList(sK63(nil,nil))
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30
| ~ spl69_31 ),
inference(trivial_inequality_removal,[],[f5138]) ).
fof(f5138,plain,
( nil != nil
| nil = sK63(nil,nil)
| ~ ssList(sK63(nil,nil))
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30
| ~ spl69_31 ),
inference(superposition,[],[f4800,f2967]) ).
fof(f2967,plain,
nil = app(nil,sK63(nil,nil)),
inference(subsumption_resolution,[],[f2966,f393]) ).
fof(f2966,plain,
( nil = app(nil,sK63(nil,nil))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2959]) ).
fof(f2959,plain,
( nil = app(nil,sK63(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f575,f636]) ).
fof(f4800,plain,
( ! [X0] :
( nil != app(nil,X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30
| ~ spl69_31 ),
inference(forward_demodulation,[],[f4799,f4638]) ).
fof(f4638,plain,
( nil = sK66(sK19,sK19)
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30
| ~ spl69_31 ),
inference(subsumption_resolution,[],[f4637,f3413]) ).
fof(f3413,plain,
( ssList(sK66(sK19,sK19))
| ~ spl69_31 ),
inference(avatar_component_clause,[],[f3412]) ).
fof(f4637,plain,
( nil = sK66(sK19,sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(trivial_inequality_removal,[],[f4634]) ).
fof(f4634,plain,
( sK19 != sK19
| nil = sK66(sK19,sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(superposition,[],[f4499,f3359]) ).
fof(f3359,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(subsumption_resolution,[],[f3358,f375]) ).
fof(f3358,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(duplicate_literal_removal,[],[f3355]) ).
fof(f3355,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| ~ ssList(sK19)
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(resolution,[],[f3351,f582]) ).
fof(f3351,plain,
( rearsegP(sK19,sK19)
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(superposition,[],[f3251,f3343]) ).
fof(f3343,plain,
( sK19 = sK63(sK19,nil)
| ~ spl69_27
| ~ spl69_29 ),
inference(forward_demodulation,[],[f3328,f3233]) ).
fof(f3233,plain,
( sK19 = app(nil,sK63(sK19,nil))
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f3232,f375]) ).
fof(f3232,plain,
( sK19 = app(nil,sK63(sK19,nil))
| ~ ssList(sK19)
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f3230,f393]) ).
fof(f3230,plain,
( sK19 = app(nil,sK63(sK19,nil))
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ spl69_27 ),
inference(resolution,[],[f3229,f575]) ).
fof(f3229,plain,
( frontsegP(sK19,nil)
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f3228,f3039]) ).
fof(f3228,plain,
( frontsegP(sK19,nil)
| ~ ssList(sK66(sK19,sK18))
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f3226,f393]) ).
fof(f3226,plain,
( frontsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK66(sK19,sK18))
| ~ spl69_27 ),
inference(resolution,[],[f3190,f450]) ).
fof(f3190,plain,
( ! [X0] :
( ~ frontsegP(sK66(sK19,sK18),X0)
| frontsegP(sK19,X0)
| ~ ssList(X0) )
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f3189,f3039]) ).
fof(f3189,plain,
! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(sK66(sK19,sK18),X0)
| ~ ssList(X0)
| ~ ssList(sK66(sK19,sK18)) ),
inference(subsumption_resolution,[],[f3159,f374]) ).
fof(f3159,plain,
! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(sK66(sK19,sK18),X0)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ ssList(sK66(sK19,sK18)) ),
inference(superposition,[],[f591,f3026]) ).
fof(f3328,plain,
( sK63(sK19,nil) = app(nil,sK63(sK19,nil))
| ~ spl69_29 ),
inference(resolution,[],[f3246,f456]) ).
fof(f3246,plain,
( ssList(sK63(sK19,nil))
| ~ spl69_29 ),
inference(avatar_component_clause,[],[f3245]) ).
fof(f3251,plain,
( rearsegP(sK19,sK63(sK19,nil))
| ~ spl69_30 ),
inference(avatar_component_clause,[],[f3249]) ).
fof(f4499,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4498,f375]) ).
fof(f4498,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4389,f393]) ).
fof(f4389,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(superposition,[],[f593,f715]) ).
fof(f4799,plain,
( ! [X0] :
( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl69_31 ),
inference(subsumption_resolution,[],[f4798,f3413]) ).
fof(f4798,plain,
( ! [X0] :
( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
| nil = X0
| ~ ssList(sK66(sK19,sK19))
| ~ ssList(X0) )
| ~ spl69_31 ),
inference(subsumption_resolution,[],[f4698,f393]) ).
fof(f4698,plain,
( ! [X0] :
( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK66(sK19,sK19))
| ~ ssList(X0) )
| ~ spl69_31 ),
inference(superposition,[],[f594,f3425]) ).
fof(f3425,plain,
( sK66(sK19,sK19) = app(sK66(sK19,sK19),nil)
| ~ spl69_31 ),
inference(resolution,[],[f3413,f455]) ).
fof(f4182,plain,
( ~ spl69_39
| spl69_40
| ~ spl69_21 ),
inference(avatar_split_clause,[],[f3812,f2516,f4179,f4175]) ).
fof(f4175,plain,
( spl69_39
<=> rearsegP(sK19,cons(sK68,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_39])]) ).
fof(f4179,plain,
( spl69_40
<=> sK19 = cons(sK68,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_40])]) ).
fof(f2516,plain,
( spl69_21
<=> ssList(cons(sK68,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).
fof(f3812,plain,
( sK19 = cons(sK68,sK19)
| ~ rearsegP(sK19,cons(sK68,sK19))
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3811,f375]) ).
fof(f3811,plain,
( sK19 = cons(sK68,sK19)
| ~ rearsegP(sK19,cons(sK68,sK19))
| ~ ssList(sK19)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3808,f3764]) ).
fof(f3764,plain,
( ssList(cons(sK68,sK19))
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3763,f2517]) ).
fof(f2517,plain,
( ssList(cons(sK68,nil))
| ~ spl69_21 ),
inference(avatar_component_clause,[],[f2516]) ).
fof(f3763,plain,
( ssList(cons(sK68,sK19))
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f3752,f375]) ).
fof(f3752,plain,
( ssList(cons(sK68,sK19))
| ~ ssList(sK19)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f565,f3676]) ).
fof(f3676,plain,
cons(sK68,sK19) = app(cons(sK68,nil),sK19),
inference(resolution,[],[f1963,f600]) ).
fof(f3808,plain,
( sK19 = cons(sK68,sK19)
| ~ rearsegP(sK19,cons(sK68,sK19))
| ~ ssList(cons(sK68,sK19))
| ~ ssList(sK19)
| ~ spl69_21 ),
inference(resolution,[],[f3778,f571]) ).
fof(f3778,plain,
( rearsegP(cons(sK68,sK19),sK19)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3777,f375]) ).
fof(f3777,plain,
( rearsegP(cons(sK68,sK19),sK19)
| ~ ssList(sK19)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3758,f2517]) ).
fof(f3758,plain,
( rearsegP(cons(sK68,sK19),sK19)
| ~ ssList(cons(sK68,nil))
| ~ ssList(sK19) ),
inference(superposition,[],[f2443,f3676]) ).
fof(f2443,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f626,f565]) ).
fof(f4002,plain,
( ~ spl69_37
| spl69_38
| ~ spl69_19 ),
inference(avatar_split_clause,[],[f3741,f2445,f3999,f3995]) ).
fof(f3995,plain,
( spl69_37
<=> rearsegP(sK19,cons(sK67,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_37])]) ).
fof(f3741,plain,
( sK19 = cons(sK67,sK19)
| ~ rearsegP(sK19,cons(sK67,sK19))
| ~ spl69_19 ),
inference(subsumption_resolution,[],[f3740,f375]) ).
fof(f3740,plain,
( sK19 = cons(sK67,sK19)
| ~ rearsegP(sK19,cons(sK67,sK19))
| ~ ssList(sK19)
| ~ spl69_19 ),
inference(subsumption_resolution,[],[f3737,f3693]) ).
fof(f3693,plain,
( ssList(cons(sK67,sK19))
| ~ spl69_19 ),
inference(subsumption_resolution,[],[f3692,f2446]) ).
fof(f3692,plain,
( ssList(cons(sK67,sK19))
| ~ ssList(cons(sK67,nil)) ),
inference(subsumption_resolution,[],[f3681,f375]) ).
fof(f3681,plain,
( ssList(cons(sK67,sK19))
| ~ ssList(sK19)
| ~ ssList(cons(sK67,nil)) ),
inference(superposition,[],[f565,f3675]) ).
fof(f3737,plain,
( sK19 = cons(sK67,sK19)
| ~ rearsegP(sK19,cons(sK67,sK19))
| ~ ssList(cons(sK67,sK19))
| ~ ssList(sK19)
| ~ spl69_19 ),
inference(resolution,[],[f3707,f571]) ).
fof(f3707,plain,
( rearsegP(cons(sK67,sK19),sK19)
| ~ spl69_19 ),
inference(subsumption_resolution,[],[f3706,f375]) ).
fof(f3706,plain,
( rearsegP(cons(sK67,sK19),sK19)
| ~ ssList(sK19)
| ~ spl69_19 ),
inference(subsumption_resolution,[],[f3687,f2446]) ).
fof(f3687,plain,
( rearsegP(cons(sK67,sK19),sK19)
| ~ ssList(cons(sK67,nil))
| ~ ssList(sK19) ),
inference(superposition,[],[f2443,f3675]) ).
fof(f3626,plain,
( ~ spl69_35
| spl69_36
| ~ spl69_31
| ~ spl69_32 ),
inference(avatar_split_clause,[],[f3446,f3416,f3412,f3623,f3619]) ).
fof(f3619,plain,
( spl69_35
<=> frontsegP(sK66(sK19,sK19),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_35])]) ).
fof(f3623,plain,
( spl69_36
<=> sK19 = sK66(sK19,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_36])]) ).
fof(f3416,plain,
( spl69_32
<=> frontsegP(sK19,sK66(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_32])]) ).
fof(f3446,plain,
( sK19 = sK66(sK19,sK19)
| ~ frontsegP(sK66(sK19,sK19),sK19)
| ~ spl69_31
| ~ spl69_32 ),
inference(subsumption_resolution,[],[f3445,f3413]) ).
fof(f3445,plain,
( sK19 = sK66(sK19,sK19)
| ~ frontsegP(sK66(sK19,sK19),sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_32 ),
inference(subsumption_resolution,[],[f3442,f375]) ).
fof(f3442,plain,
( sK19 = sK66(sK19,sK19)
| ~ frontsegP(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_32 ),
inference(resolution,[],[f3418,f569]) ).
fof(f3418,plain,
( frontsegP(sK19,sK66(sK19,sK19))
| ~ spl69_32 ),
inference(avatar_component_clause,[],[f3416]) ).
fof(f3481,plain,
( ~ spl69_33
| spl69_34
| ~ spl69_27
| ~ spl69_28 ),
inference(avatar_split_clause,[],[f3072,f3042,f3038,f3478,f3474]) ).
fof(f3474,plain,
( spl69_33
<=> frontsegP(sK66(sK19,sK18),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_33])]) ).
fof(f3478,plain,
( spl69_34
<=> sK19 = sK66(sK19,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_34])]) ).
fof(f3042,plain,
( spl69_28
<=> frontsegP(sK19,sK66(sK19,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_28])]) ).
fof(f3072,plain,
( sK19 = sK66(sK19,sK18)
| ~ frontsegP(sK66(sK19,sK18),sK19)
| ~ spl69_27
| ~ spl69_28 ),
inference(subsumption_resolution,[],[f3071,f3039]) ).
fof(f3071,plain,
( sK19 = sK66(sK19,sK18)
| ~ frontsegP(sK66(sK19,sK18),sK19)
| ~ ssList(sK66(sK19,sK18))
| ~ spl69_28 ),
inference(subsumption_resolution,[],[f3068,f375]) ).
fof(f3068,plain,
( sK19 = sK66(sK19,sK18)
| ~ frontsegP(sK66(sK19,sK18),sK19)
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK18))
| ~ spl69_28 ),
inference(resolution,[],[f3044,f569]) ).
fof(f3044,plain,
( frontsegP(sK19,sK66(sK19,sK18))
| ~ spl69_28 ),
inference(avatar_component_clause,[],[f3042]) ).
fof(f3424,plain,
( ~ spl69_27
| ~ spl69_29
| ~ spl69_30
| spl69_31 ),
inference(avatar_contradiction_clause,[],[f3423]) ).
fof(f3423,plain,
( $false
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30
| spl69_31 ),
inference(subsumption_resolution,[],[f3422,f375]) ).
fof(f3422,plain,
( ~ ssList(sK19)
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30
| spl69_31 ),
inference(subsumption_resolution,[],[f3421,f3351]) ).
fof(f3421,plain,
( ~ rearsegP(sK19,sK19)
| ~ ssList(sK19)
| spl69_31 ),
inference(duplicate_literal_removal,[],[f3420]) ).
fof(f3420,plain,
( ~ rearsegP(sK19,sK19)
| ~ ssList(sK19)
| ~ ssList(sK19)
| spl69_31 ),
inference(resolution,[],[f3414,f581]) ).
fof(f3414,plain,
( ~ ssList(sK66(sK19,sK19))
| spl69_31 ),
inference(avatar_component_clause,[],[f3412]) ).
fof(f3419,plain,
( ~ spl69_31
| spl69_32
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(avatar_split_clause,[],[f3371,f3249,f3245,f3038,f3416,f3412]) ).
fof(f3371,plain,
( frontsegP(sK19,sK66(sK19,sK19))
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(subsumption_resolution,[],[f3367,f375]) ).
fof(f3367,plain,
( frontsegP(sK19,sK66(sK19,sK19))
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_27
| ~ spl69_29
| ~ spl69_30 ),
inference(superposition,[],[f2269,f3359]) ).
fof(f2269,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f624,f565]) ).
fof(f3257,plain,
( ~ spl69_27
| spl69_29 ),
inference(avatar_contradiction_clause,[],[f3256]) ).
fof(f3256,plain,
( $false
| ~ spl69_27
| spl69_29 ),
inference(subsumption_resolution,[],[f3255,f375]) ).
fof(f3255,plain,
( ~ ssList(sK19)
| ~ spl69_27
| spl69_29 ),
inference(subsumption_resolution,[],[f3254,f393]) ).
fof(f3254,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| ~ spl69_27
| spl69_29 ),
inference(subsumption_resolution,[],[f3253,f3229]) ).
fof(f3253,plain,
( ~ frontsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK19)
| spl69_29 ),
inference(resolution,[],[f3247,f574]) ).
fof(f3247,plain,
( ~ ssList(sK63(sK19,nil))
| spl69_29 ),
inference(avatar_component_clause,[],[f3245]) ).
fof(f3252,plain,
( ~ spl69_29
| spl69_30
| ~ spl69_27 ),
inference(avatar_split_clause,[],[f3243,f3038,f3249,f3245]) ).
fof(f3243,plain,
( rearsegP(sK19,sK63(sK19,nil))
| ~ ssList(sK63(sK19,nil))
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f3241,f393]) ).
fof(f3241,plain,
( rearsegP(sK19,sK63(sK19,nil))
| ~ ssList(nil)
| ~ ssList(sK63(sK19,nil))
| ~ spl69_27 ),
inference(superposition,[],[f2443,f3233]) ).
fof(f3050,plain,
spl69_27,
inference(avatar_contradiction_clause,[],[f3049]) ).
fof(f3049,plain,
( $false
| spl69_27 ),
inference(subsumption_resolution,[],[f3048,f375]) ).
fof(f3048,plain,
( ~ ssList(sK19)
| spl69_27 ),
inference(subsumption_resolution,[],[f3047,f374]) ).
fof(f3047,plain,
( ~ ssList(sK18)
| ~ ssList(sK19)
| spl69_27 ),
inference(subsumption_resolution,[],[f3046,f662]) ).
fof(f3046,plain,
( ~ rearsegP(sK19,sK18)
| ~ ssList(sK18)
| ~ ssList(sK19)
| spl69_27 ),
inference(resolution,[],[f3040,f581]) ).
fof(f3040,plain,
( ~ ssList(sK66(sK19,sK18))
| spl69_27 ),
inference(avatar_component_clause,[],[f3038]) ).
fof(f3045,plain,
( ~ spl69_27
| spl69_28 ),
inference(avatar_split_clause,[],[f3036,f3042,f3038]) ).
fof(f3036,plain,
( frontsegP(sK19,sK66(sK19,sK18))
| ~ ssList(sK66(sK19,sK18)) ),
inference(subsumption_resolution,[],[f3032,f374]) ).
fof(f3032,plain,
( frontsegP(sK19,sK66(sK19,sK18))
| ~ ssList(sK18)
| ~ ssList(sK66(sK19,sK18)) ),
inference(superposition,[],[f2269,f3026]) ).
fof(f2943,plain,
( ~ spl69_25
| spl69_26
| ~ spl69_21
| ~ spl69_22 ),
inference(avatar_split_clause,[],[f2603,f2520,f2516,f2940,f2936]) ).
fof(f2936,plain,
( spl69_25
<=> rearsegP(sK18,cons(sK68,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).
fof(f2940,plain,
( spl69_26
<=> sK18 = cons(sK68,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).
fof(f2520,plain,
( spl69_22
<=> ssList(cons(sK68,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).
fof(f2603,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f2602,f374]) ).
fof(f2602,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ ssList(sK18)
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f2601,f2522]) ).
fof(f2522,plain,
( ssList(cons(sK68,sK18))
| ~ spl69_22 ),
inference(avatar_component_clause,[],[f2520]) ).
fof(f2601,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ ssList(cons(sK68,sK18))
| ~ ssList(sK18)
| ~ spl69_21 ),
inference(resolution,[],[f2597,f571]) ).
fof(f2597,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2596,f374]) ).
fof(f2596,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ ssList(sK18)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2587,f2517]) ).
fof(f2587,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ ssList(cons(sK68,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2443,f2431]) ).
fof(f2431,plain,
cons(sK68,sK18) = app(cons(sK68,nil),sK18),
inference(resolution,[],[f1962,f600]) ).
fof(f2934,plain,
( ~ spl69_23
| spl69_24
| ~ spl69_19
| ~ spl69_20 ),
inference(avatar_split_clause,[],[f2600,f2449,f2445,f2931,f2927]) ).
fof(f2927,plain,
( spl69_23
<=> rearsegP(sK18,cons(sK67,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).
fof(f2449,plain,
( spl69_20
<=> ssList(cons(sK67,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).
fof(f2600,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ spl69_19
| ~ spl69_20 ),
inference(subsumption_resolution,[],[f2599,f374]) ).
fof(f2599,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ ssList(sK18)
| ~ spl69_19
| ~ spl69_20 ),
inference(subsumption_resolution,[],[f2598,f2451]) ).
fof(f2451,plain,
( ssList(cons(sK67,sK18))
| ~ spl69_20 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f2598,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ ssList(cons(sK67,sK18))
| ~ ssList(sK18)
| ~ spl69_19 ),
inference(resolution,[],[f2595,f571]) ).
fof(f2595,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ spl69_19 ),
inference(subsumption_resolution,[],[f2594,f374]) ).
fof(f2594,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ ssList(sK18)
| ~ spl69_19 ),
inference(subsumption_resolution,[],[f2586,f2446]) ).
fof(f2586,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ ssList(cons(sK67,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2443,f2430]) ).
fof(f2527,plain,
spl69_21,
inference(avatar_contradiction_clause,[],[f2526]) ).
fof(f2526,plain,
( $false
| spl69_21 ),
inference(subsumption_resolution,[],[f2525,f393]) ).
fof(f2525,plain,
( ~ ssList(nil)
| spl69_21 ),
inference(subsumption_resolution,[],[f2524,f600]) ).
fof(f2524,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| spl69_21 ),
inference(resolution,[],[f2518,f555]) ).
fof(f2518,plain,
( ~ ssList(cons(sK68,nil))
| spl69_21 ),
inference(avatar_component_clause,[],[f2516]) ).
fof(f2523,plain,
( ~ spl69_21
| spl69_22 ),
inference(avatar_split_clause,[],[f2514,f2520,f2516]) ).
fof(f2514,plain,
( ssList(cons(sK68,sK18))
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f2509,f374]) ).
fof(f2509,plain,
( ssList(cons(sK68,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f565,f2431]) ).
fof(f2456,plain,
spl69_19,
inference(avatar_contradiction_clause,[],[f2455]) ).
fof(f2455,plain,
( $false
| spl69_19 ),
inference(subsumption_resolution,[],[f2454,f393]) ).
fof(f2454,plain,
( ~ ssList(nil)
| spl69_19 ),
inference(subsumption_resolution,[],[f2453,f599]) ).
fof(f2453,plain,
( ~ ssItem(sK67)
| ~ ssList(nil)
| spl69_19 ),
inference(resolution,[],[f2447,f555]) ).
fof(f2447,plain,
( ~ ssList(cons(sK67,nil))
| spl69_19 ),
inference(avatar_component_clause,[],[f2445]) ).
fof(f2452,plain,
( ~ spl69_19
| spl69_20 ),
inference(avatar_split_clause,[],[f2442,f2449,f2445]) ).
fof(f2442,plain,
( ssList(cons(sK67,sK18))
| ~ ssList(cons(sK67,nil)) ),
inference(subsumption_resolution,[],[f2437,f374]) ).
fof(f2437,plain,
( ssList(cons(sK67,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK67,nil)) ),
inference(superposition,[],[f565,f2430]) ).
fof(f2197,plain,
( ~ spl69_17
| spl69_18 ),
inference(avatar_split_clause,[],[f2188,f2194,f2190]) ).
fof(f2190,plain,
( spl69_17
<=> rearsegP(sK18,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).
fof(f2194,plain,
( spl69_18
<=> sK18 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).
fof(f2188,plain,
( sK18 = sK19
| ~ rearsegP(sK18,sK19) ),
inference(subsumption_resolution,[],[f2187,f374]) ).
fof(f2187,plain,
( sK18 = sK19
| ~ rearsegP(sK18,sK19)
| ~ ssList(sK18) ),
inference(subsumption_resolution,[],[f2181,f375]) ).
fof(f2181,plain,
( sK18 = sK19
| ~ rearsegP(sK18,sK19)
| ~ ssList(sK19)
| ~ ssList(sK18) ),
inference(resolution,[],[f571,f662]) ).
fof(f2010,plain,
( spl69_3
| spl69_15 ),
inference(avatar_contradiction_clause,[],[f2009]) ).
fof(f2009,plain,
( $false
| spl69_3
| spl69_15 ),
inference(subsumption_resolution,[],[f2008,f375]) ).
fof(f2008,plain,
( ~ ssList(sK19)
| spl69_3
| spl69_15 ),
inference(subsumption_resolution,[],[f2007,f672]) ).
fof(f2007,plain,
( nil = sK19
| ~ ssList(sK19)
| spl69_15 ),
inference(resolution,[],[f2001,f457]) ).
fof(f2001,plain,
( ~ ssList(sK22(sK19))
| spl69_15 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2006,plain,
( ~ spl69_15
| spl69_16
| spl69_3
| ~ spl69_7 ),
inference(avatar_split_clause,[],[f1997,f1698,f664,f2003,f1999]) ).
fof(f2003,plain,
( spl69_16
<=> memberP(sK19,sK23(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).
fof(f1997,plain,
( memberP(sK19,sK23(sK19))
| ~ ssList(sK22(sK19))
| spl69_3
| ~ spl69_7 ),
inference(subsumption_resolution,[],[f1532,f1699]) ).
fof(f1532,plain,
( memberP(sK19,sK23(sK19))
| ~ ssList(sK22(sK19))
| ~ ssItem(sK23(sK19))
| spl69_3 ),
inference(superposition,[],[f633,f1509]) ).
fof(f1771,plain,
( spl69_4
| spl69_13 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1770,plain,
( $false
| spl69_4
| spl69_13 ),
inference(subsumption_resolution,[],[f1769,f374]) ).
fof(f1769,plain,
( ~ ssList(sK18)
| spl69_4
| spl69_13 ),
inference(subsumption_resolution,[],[f1768,f669]) ).
fof(f1768,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_13 ),
inference(resolution,[],[f1762,f457]) ).
fof(f1762,plain,
( ~ ssList(sK22(sK18))
| spl69_13 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f1767,plain,
( ~ spl69_13
| spl69_14
| spl69_4
| ~ spl69_5 ),
inference(avatar_split_clause,[],[f1696,f1536,f668,f1764,f1760]) ).
fof(f1764,plain,
( spl69_14
<=> memberP(sK18,sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).
fof(f1696,plain,
( memberP(sK18,sK23(sK18))
| ~ ssList(sK22(sK18))
| spl69_4
| ~ spl69_5 ),
inference(subsumption_resolution,[],[f1695,f1537]) ).
fof(f1695,plain,
( memberP(sK18,sK23(sK18))
| ~ ssList(sK22(sK18))
| ~ ssItem(sK23(sK18))
| spl69_4 ),
inference(superposition,[],[f633,f1653]) ).
fof(f1752,plain,
( spl69_4
| spl69_11 ),
inference(avatar_contradiction_clause,[],[f1751]) ).
fof(f1751,plain,
( $false
| spl69_4
| spl69_11 ),
inference(subsumption_resolution,[],[f1750,f374]) ).
fof(f1750,plain,
( ~ ssList(sK18)
| spl69_4
| spl69_11 ),
inference(subsumption_resolution,[],[f1749,f669]) ).
fof(f1749,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_11 ),
inference(resolution,[],[f1743,f460]) ).
fof(f1743,plain,
( ~ ssItem(hd(sK18))
| spl69_11 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1748,plain,
( ~ spl69_11
| ~ spl69_12
| spl69_4 ),
inference(avatar_split_clause,[],[f1687,f668,f1745,f1741]) ).
fof(f1745,plain,
( spl69_12
<=> sK18 = tl(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).
fof(f1687,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| spl69_4 ),
inference(subsumption_resolution,[],[f1686,f374]) ).
fof(f1686,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(sK18)
| spl69_4 ),
inference(inner_rewriting,[],[f1684]) ).
fof(f1684,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(tl(sK18))
| spl69_4 ),
inference(superposition,[],[f557,f1635]) ).
fof(f1728,plain,
( spl69_3
| spl69_9 ),
inference(avatar_contradiction_clause,[],[f1727]) ).
fof(f1727,plain,
( $false
| spl69_3
| spl69_9 ),
inference(subsumption_resolution,[],[f1726,f375]) ).
fof(f1726,plain,
( ~ ssList(sK19)
| spl69_3
| spl69_9 ),
inference(subsumption_resolution,[],[f1725,f672]) ).
fof(f1725,plain,
( nil = sK19
| ~ ssList(sK19)
| spl69_9 ),
inference(resolution,[],[f1719,f460]) ).
fof(f1719,plain,
( ~ ssItem(hd(sK19))
| spl69_9 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1724,plain,
( ~ spl69_9
| ~ spl69_10
| spl69_3 ),
inference(avatar_split_clause,[],[f1672,f664,f1721,f1717]) ).
fof(f1721,plain,
( spl69_10
<=> sK19 = tl(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).
fof(f1672,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| spl69_3 ),
inference(subsumption_resolution,[],[f1671,f375]) ).
fof(f1671,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(sK19)
| spl69_3 ),
inference(inner_rewriting,[],[f1669]) ).
fof(f1669,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(tl(sK19))
| spl69_3 ),
inference(superposition,[],[f557,f1626]) ).
fof(f1709,plain,
( spl69_3
| spl69_7 ),
inference(avatar_contradiction_clause,[],[f1708]) ).
fof(f1708,plain,
( $false
| spl69_3
| spl69_7 ),
inference(subsumption_resolution,[],[f1707,f375]) ).
fof(f1707,plain,
( ~ ssList(sK19)
| spl69_3
| spl69_7 ),
inference(subsumption_resolution,[],[f1706,f672]) ).
fof(f1706,plain,
( nil = sK19
| ~ ssList(sK19)
| spl69_7 ),
inference(resolution,[],[f1700,f458]) ).
fof(f1700,plain,
( ~ ssItem(sK23(sK19))
| spl69_7 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1705,plain,
( ~ spl69_7
| ~ spl69_8
| spl69_3 ),
inference(avatar_split_clause,[],[f1534,f664,f1702,f1698]) ).
fof(f1702,plain,
( spl69_8
<=> sK19 = sK22(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).
fof(f1534,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| spl69_3 ),
inference(subsumption_resolution,[],[f1533,f375]) ).
fof(f1533,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| ~ ssList(sK19)
| spl69_3 ),
inference(inner_rewriting,[],[f1531]) ).
fof(f1531,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| ~ ssList(sK22(sK19))
| spl69_3 ),
inference(superposition,[],[f557,f1509]) ).
fof(f1633,plain,
( ~ spl69_1
| ~ spl69_4 ),
inference(avatar_contradiction_clause,[],[f1632]) ).
fof(f1632,plain,
( $false
| ~ spl69_1
| ~ spl69_4 ),
inference(subsumption_resolution,[],[f1631,f393]) ).
fof(f1631,plain,
( ~ ssList(nil)
| ~ spl69_1
| ~ spl69_4 ),
inference(resolution,[],[f1577,f630]) ).
fof(f1577,plain,
( neq(nil,nil)
| ~ spl69_1
| ~ spl69_4 ),
inference(superposition,[],[f645,f670]) ).
fof(f670,plain,
( nil = sK18
| ~ spl69_4 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f645,plain,
( neq(sK18,nil)
| ~ spl69_1 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f644,plain,
( spl69_1
<=> neq(sK18,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).
fof(f1547,plain,
( spl69_4
| spl69_5 ),
inference(avatar_contradiction_clause,[],[f1546]) ).
fof(f1546,plain,
( $false
| spl69_4
| spl69_5 ),
inference(subsumption_resolution,[],[f1545,f374]) ).
fof(f1545,plain,
( ~ ssList(sK18)
| spl69_4
| spl69_5 ),
inference(subsumption_resolution,[],[f1544,f669]) ).
fof(f1544,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_5 ),
inference(resolution,[],[f1538,f458]) ).
fof(f1538,plain,
( ~ ssItem(sK23(sK18))
| spl69_5 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1543,plain,
( ~ spl69_5
| ~ spl69_6
| spl69_4 ),
inference(avatar_split_clause,[],[f1524,f668,f1540,f1536]) ).
fof(f1540,plain,
( spl69_6
<=> sK18 = sK22(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).
fof(f671,plain,
( ~ spl69_3
| spl69_4 ),
inference(avatar_split_clause,[],[f642,f668,f664]) ).
fof(f656,plain,
spl69_1,
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| spl69_1 ),
inference(subsumption_resolution,[],[f654,f380]) ).
fof(f654,plain,
( ~ neq(sK19,nil)
| spl69_1 ),
inference(forward_demodulation,[],[f653,f378]) ).
fof(f653,plain,
( ~ neq(sK21,nil)
| spl69_1 ),
inference(subsumption_resolution,[],[f652,f646]) ).
fof(f646,plain,
( ~ neq(sK18,nil)
| spl69_1 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f651,plain,
( ~ spl69_1
| ~ spl69_2 ),
inference(avatar_split_clause,[],[f382,f648,f644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC122+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 03:53:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (27336)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (27339)WARNING: value z3 for option sas not known
% 0.20/0.37 % (27337)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (27339)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (27338)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (27341)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 % (27340)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (27343)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 % (27342)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 TRYING [2]
% 0.20/0.40 TRYING [3]
% 0.20/0.41 TRYING [3]
% 0.20/0.45 TRYING [4]
% 0.20/0.46 TRYING [4]
% 1.46/0.55 TRYING [5]
% 1.46/0.59 TRYING [5]
% 2.01/0.65 % (27339)First to succeed.
% 2.01/0.67 % (27339)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27336"
% 2.01/0.67 % (27339)Refutation found. Thanks to Tanya!
% 2.01/0.67 % SZS status Theorem for theBenchmark
% 2.01/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.68 % (27339)------------------------------
% 2.32/0.68 % (27339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.32/0.68 % (27339)Termination reason: Refutation
% 2.32/0.68
% 2.32/0.68 % (27339)Memory used [KB]: 6368
% 2.32/0.68 % (27339)Time elapsed: 0.294 s
% 2.32/0.68 % (27339)Instructions burned: 740 (million)
% 2.32/0.68 % (27336)Success in time 0.304 s
%------------------------------------------------------------------------------