TSTP Solution File: SWC162-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC162-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n010.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 : Thu Aug 31 20:57:04 EDT 2023
% Result : Unsatisfiable 0.23s 0.60s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 76
% Syntax : Number of formulae : 353 ( 36 unt; 0 def)
% Number of atoms : 1282 ( 255 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1771 ( 842 ~; 902 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 28 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 100 (; 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7168,plain,
$false,
inference(avatar_sat_refutation,[],[f253,f343,f349,f358,f371,f374,f494,f710,f1091,f1133,f1400,f1419,f1423,f1464,f1466,f1471,f2221,f3340,f3545,f4305,f4308,f4310,f4312,f4314,f6032,f6284,f6934,f7018,f7046]) ).
fof(f7046,plain,
( spl6_106
| ~ spl6_25
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f7045,f6076,f943,f3333]) ).
fof(f3333,plain,
( spl6_106
<=> sk3 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
fof(f943,plain,
( spl6_25
<=> sF0 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f6076,plain,
( spl6_150
<=> sk3 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f7045,plain,
( sk3 = sF1
| ~ spl6_25
| ~ spl6_150 ),
inference(forward_demodulation,[],[f945,f6078]) ).
fof(f6078,plain,
( sk3 = sF0
| ~ spl6_150 ),
inference(avatar_component_clause,[],[f6076]) ).
fof(f945,plain,
( sF0 = sF1
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f7018,plain,
( ~ spl6_11
| ~ spl6_13
| ~ spl6_31
| ~ spl6_44
| ~ spl6_60
| ~ spl6_106 ),
inference(avatar_contradiction_clause,[],[f7017]) ).
fof(f7017,plain,
( $false
| ~ spl6_11
| ~ spl6_13
| ~ spl6_31
| ~ spl6_44
| ~ spl6_60
| ~ spl6_106 ),
inference(subsumption_resolution,[],[f6967,f11]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause11) ).
fof(f6967,plain,
( singletonP(nil)
| ~ spl6_11
| ~ spl6_13
| ~ spl6_31
| ~ spl6_44
| ~ spl6_60
| ~ spl6_106 ),
inference(backward_demodulation,[],[f6867,f1407]) ).
fof(f1407,plain,
( nil = sk8
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f1405,plain,
( spl6_44
<=> nil = sk8 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f6867,plain,
( singletonP(sk8)
| ~ spl6_11
| ~ spl6_13
| ~ spl6_31
| ~ spl6_60
| ~ spl6_106 ),
inference(backward_demodulation,[],[f553,f6854]) ).
fof(f6854,plain,
( sk8 = sF3
| ~ spl6_11
| ~ spl6_13
| ~ spl6_31
| ~ spl6_60
| ~ spl6_106 ),
inference(subsumption_resolution,[],[f6833,f352]) ).
fof(f352,plain,
( ssList(sF3)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl6_13
<=> ssList(sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f6833,plain,
( ~ ssList(sF3)
| sk8 = sF3
| ~ spl6_11
| ~ spl6_31
| ~ spl6_60
| ~ spl6_106 ),
inference(trivial_inequality_removal,[],[f6828]) ).
fof(f6828,plain,
( sk3 != sk3
| ~ ssList(sF3)
| sk8 = sF3
| ~ spl6_11
| ~ spl6_31
| ~ spl6_60
| ~ spl6_106 ),
inference(superposition,[],[f4718,f4856]) ).
fof(f4856,plain,
( sk3 = app(sk3,sF3)
| ~ spl6_31
| ~ spl6_60 ),
inference(backward_demodulation,[],[f4619,f999]) ).
fof(f999,plain,
( sk3 = sF4
| ~ spl6_31 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f997,plain,
( spl6_31
<=> sk3 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f4619,plain,
( sF4 = app(sk3,sF3)
| ~ spl6_60 ),
inference(backward_demodulation,[],[f235,f2216]) ).
fof(f2216,plain,
( sk3 = sF2
| ~ spl6_60 ),
inference(avatar_component_clause,[],[f2214]) ).
fof(f2214,plain,
( spl6_60
<=> sk3 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f235,plain,
app(sF2,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f4718,plain,
( ! [X15] :
( sk3 != app(sk3,X15)
| ~ ssList(X15)
| sk8 = X15 )
| ~ spl6_11
| ~ spl6_60
| ~ spl6_106 ),
inference(backward_demodulation,[],[f4478,f2216]) ).
fof(f4478,plain,
( ! [X15] :
( sF2 != app(sk3,X15)
| ~ ssList(X15)
| sk8 = X15 )
| ~ spl6_11
| ~ spl6_106 ),
inference(backward_demodulation,[],[f2192,f3335]) ).
fof(f3335,plain,
( sk3 = sF1
| ~ spl6_106 ),
inference(avatar_component_clause,[],[f3333]) ).
fof(f2192,plain,
( ! [X15] :
( sF2 != app(sF1,X15)
| ~ ssList(X15)
| sk8 = X15 )
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f2191,f196]) ).
fof(f196,axiom,
ssList(sk8),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_11) ).
fof(f2191,plain,
( ! [X15] :
( sF2 != app(sF1,X15)
| ~ ssList(X15)
| sk8 = X15
| ~ ssList(sk8) )
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f2147,f342]) ).
fof(f342,plain,
( ssList(sF1)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl6_11
<=> ssList(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f2147,plain,
! [X15] :
( sF2 != app(sF1,X15)
| ~ ssList(X15)
| ~ ssList(sF1)
| sk8 = X15
| ~ ssList(sk8) ),
inference(superposition,[],[f150,f233]) ).
fof(f233,plain,
app(sF1,sk8) = sF2,
introduced(function_definition,[]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause150) ).
fof(f553,plain,
( singletonP(sF3)
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f552,f194]) ).
fof(f194,axiom,
ssItem(sk6),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_9) ).
fof(f552,plain,
( singletonP(sF3)
| ~ ssItem(sk6)
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f546,f352]) ).
fof(f546,plain,
( singletonP(sF3)
| ~ ssList(sF3)
| ~ ssItem(sk6) ),
inference(superposition,[],[f212,f234]) ).
fof(f234,plain,
cons(sk6,nil) = sF3,
introduced(function_definition,[]) ).
fof(f212,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause116) ).
fof(f6934,plain,
( spl6_44
| ~ spl6_11
| ~ spl6_60
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f6933,f3333,f2214,f340,f1405]) ).
fof(f6933,plain,
( nil = sk8
| ~ spl6_11
| ~ spl6_60
| ~ spl6_106 ),
inference(subsumption_resolution,[],[f6932,f205]) ).
fof(f205,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_1) ).
fof(f6932,plain,
( nil = sk8
| ~ ssList(sk3)
| ~ spl6_11
| ~ spl6_60
| ~ spl6_106 ),
inference(subsumption_resolution,[],[f6832,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause8) ).
fof(f6832,plain,
( ~ ssList(nil)
| nil = sk8
| ~ ssList(sk3)
| ~ spl6_11
| ~ spl6_60
| ~ spl6_106 ),
inference(trivial_inequality_removal,[],[f6829]) ).
fof(f6829,plain,
( sk3 != sk3
| ~ ssList(nil)
| nil = sk8
| ~ ssList(sk3)
| ~ spl6_11
| ~ spl6_60
| ~ spl6_106 ),
inference(superposition,[],[f4718,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause73) ).
fof(f6284,plain,
( spl6_150
| ~ spl6_2
| ~ spl6_31
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f6283,f1397,f997,f250,f6076]) ).
fof(f250,plain,
( spl6_2
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f1397,plain,
( spl6_43
<=> sk5 = hd(sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f6283,plain,
( sk3 = sF0
| ~ spl6_2
| ~ spl6_31
| ~ spl6_43 ),
inference(backward_demodulation,[],[f231,f6250]) ).
fof(f6250,plain,
( sk3 = cons(sk5,nil)
| ~ spl6_2
| ~ spl6_31
| ~ spl6_43 ),
inference(backward_demodulation,[],[f681,f6247]) ).
fof(f6247,plain,
( sk5 = skaf83(sk3)
| ~ spl6_2
| ~ spl6_31
| ~ spl6_43 ),
inference(backward_demodulation,[],[f680,f6246]) ).
fof(f6246,plain,
( sk5 = hd(sk3)
| ~ spl6_31
| ~ spl6_43 ),
inference(forward_demodulation,[],[f1399,f999]) ).
fof(f1399,plain,
( sk5 = hd(sF4)
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f680,plain,
( hd(sk3) = skaf83(sk3)
| ~ spl6_2 ),
inference(backward_demodulation,[],[f527,f678]) ).
fof(f678,plain,
( skaf44(sk3) = skaf83(sk3)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f677,f205]) ).
fof(f677,plain,
( skaf44(sk3) = skaf83(sk3)
| ~ ssList(sk3)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f663,f533]) ).
fof(f533,plain,
( nil != sk3
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f532,f47]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause47) ).
fof(f532,plain,
( nil != sk3
| ~ ssItem(skaf44(sk3))
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f516,f8]) ).
fof(f516,plain,
( nil != sk3
| ~ ssList(nil)
| ~ ssItem(skaf44(sk3))
| ~ spl6_2 ),
inference(superposition,[],[f99,f505]) ).
fof(f505,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f504,f205]) ).
fof(f504,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl6_2 ),
inference(resolution,[],[f101,f252]) ).
fof(f252,plain,
( singletonP(sk3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause101) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause99) ).
fof(f663,plain,
( skaf44(sk3) = skaf83(sk3)
| nil = sk3
| ~ ssList(sk3)
| ~ spl6_2 ),
inference(superposition,[],[f650,f527]) ).
fof(f650,plain,
! [X0] :
( skaf83(X0) = hd(X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f649,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause12) ).
fof(f649,plain,
! [X0] :
( skaf83(X0) = hd(X0)
| ~ ssItem(skaf83(X0))
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f643,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause13) ).
fof(f643,plain,
! [X0] :
( skaf83(X0) = hd(X0)
| ~ ssList(skaf82(X0))
| ~ ssItem(skaf83(X0))
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f97,f109]) ).
fof(f109,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause109) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause97) ).
fof(f527,plain,
( skaf44(sk3) = hd(sk3)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f526,f47]) ).
fof(f526,plain,
( skaf44(sk3) = hd(sk3)
| ~ ssItem(skaf44(sk3))
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f513,f8]) ).
fof(f513,plain,
( skaf44(sk3) = hd(sk3)
| ~ ssList(nil)
| ~ ssItem(skaf44(sk3))
| ~ spl6_2 ),
inference(superposition,[],[f97,f505]) ).
fof(f681,plain,
( sk3 = cons(skaf83(sk3),nil)
| ~ spl6_2 ),
inference(backward_demodulation,[],[f505,f678]) ).
fof(f231,plain,
cons(sk5,nil) = sF0,
introduced(function_definition,[]) ).
fof(f6032,plain,
( ~ spl6_10
| ~ spl6_106
| ~ spl6_110 ),
inference(avatar_contradiction_clause,[],[f6031]) ).
fof(f6031,plain,
( $false
| ~ spl6_10
| ~ spl6_106
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f6030,f205]) ).
fof(f6030,plain,
( ~ ssList(sk3)
| ~ spl6_10
| ~ spl6_106
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f6029,f378]) ).
fof(f378,plain,
nil != sF0,
inference(subsumption_resolution,[],[f377,f193]) ).
fof(f193,axiom,
ssItem(sk5),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_8) ).
fof(f377,plain,
( nil != sF0
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f375,f8]) ).
fof(f375,plain,
( nil != sF0
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f98,f231]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause98) ).
fof(f6029,plain,
( nil = sF0
| ~ ssList(sk3)
| ~ spl6_10
| ~ spl6_106
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f5828,f8]) ).
fof(f5828,plain,
( ~ ssList(nil)
| nil = sF0
| ~ ssList(sk3)
| ~ spl6_10
| ~ spl6_106
| ~ spl6_110 ),
inference(trivial_inequality_removal,[],[f5825]) ).
fof(f5825,plain,
( sk3 != sk3
| ~ ssList(nil)
| nil = sF0
| ~ ssList(sk3)
| ~ spl6_10
| ~ spl6_106
| ~ spl6_110 ),
inference(superposition,[],[f4561,f73]) ).
fof(f4561,plain,
( ! [X13] :
( sk3 != app(sk3,X13)
| ~ ssList(X13)
| sF0 = X13 )
| ~ spl6_10
| ~ spl6_106
| ~ spl6_110 ),
inference(backward_demodulation,[],[f4336,f3335]) ).
fof(f4336,plain,
( ! [X13] :
( sF1 != app(sk3,X13)
| ~ ssList(X13)
| sF0 = X13 )
| ~ spl6_10
| ~ spl6_110 ),
inference(backward_demodulation,[],[f2188,f3540]) ).
fof(f3540,plain,
( sk3 = sk7
| ~ spl6_110 ),
inference(avatar_component_clause,[],[f3538]) ).
fof(f3538,plain,
( spl6_110
<=> sk3 = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
fof(f2188,plain,
( ! [X13] :
( sF1 != app(sk7,X13)
| ~ ssList(X13)
| sF0 = X13 )
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f2187,f337]) ).
fof(f337,plain,
( ssList(sF0)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl6_10
<=> ssList(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f2187,plain,
! [X13] :
( sF1 != app(sk7,X13)
| ~ ssList(X13)
| sF0 = X13
| ~ ssList(sF0) ),
inference(subsumption_resolution,[],[f2145,f195]) ).
fof(f195,axiom,
ssList(sk7),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_10) ).
fof(f2145,plain,
! [X13] :
( sF1 != app(sk7,X13)
| ~ ssList(X13)
| ~ ssList(sk7)
| sF0 = X13
| ~ ssList(sF0) ),
inference(superposition,[],[f150,f232]) ).
fof(f232,plain,
app(sk7,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f4314,plain,
( spl6_111
| ~ spl6_2
| spl6_15
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f4313,f1468,f1461,f1416,f1088,f696,f250,f3542]) ).
fof(f3542,plain,
( spl6_111
<=> frontsegP(sk7,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
fof(f696,plain,
( spl6_15
<=> nil = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f1088,plain,
( spl6_39
<=> hd(sk7) = hd(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f1416,plain,
( spl6_45
<=> skaf83(sk3) = hd(sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f1461,plain,
( spl6_46
<=> hd(sF2) = hd(sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f1468,plain,
( spl6_47
<=> hd(sF1) = hd(sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f4313,plain,
( frontsegP(sk7,sk3)
| ~ spl6_2
| spl6_15
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f4284,f13]) ).
fof(f4284,plain,
( frontsegP(sk7,sk3)
| ~ ssList(skaf82(sk7))
| ~ spl6_2
| spl6_15
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(superposition,[],[f2377,f1794]) ).
fof(f1794,plain,
( sk7 = cons(skaf83(sk3),skaf82(sk7))
| spl6_15
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f1793,f195]) ).
fof(f1793,plain,
( sk7 = cons(skaf83(sk3),skaf82(sk7))
| ~ ssList(sk7)
| spl6_15
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f1791,f697]) ).
fof(f697,plain,
( nil != sk7
| spl6_15 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f1791,plain,
( sk7 = cons(skaf83(sk3),skaf82(sk7))
| nil = sk7
| ~ ssList(sk7)
| spl6_15
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(superposition,[],[f109,f1741]) ).
fof(f1741,plain,
( skaf83(sk3) = skaf83(sk7)
| spl6_15
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f1740,f195]) ).
fof(f1740,plain,
( skaf83(sk3) = skaf83(sk7)
| ~ ssList(sk7)
| spl6_15
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f1735,f697]) ).
fof(f1735,plain,
( skaf83(sk3) = skaf83(sk7)
| nil = sk7
| ~ ssList(sk7)
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(superposition,[],[f1474,f650]) ).
fof(f1474,plain,
( skaf83(sk3) = hd(sk7)
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(backward_demodulation,[],[f1472,f1473]) ).
fof(f1473,plain,
( skaf83(sk3) = hd(sF2)
| ~ spl6_45
| ~ spl6_46 ),
inference(forward_demodulation,[],[f1463,f1418]) ).
fof(f1418,plain,
( skaf83(sk3) = hd(sF4)
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1463,plain,
( hd(sF2) = hd(sF4)
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1472,plain,
( hd(sk7) = hd(sF2)
| ~ spl6_39
| ~ spl6_47 ),
inference(forward_demodulation,[],[f1470,f1090]) ).
fof(f1090,plain,
( hd(sk7) = hd(sF1)
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1470,plain,
( hd(sF1) = hd(sF2)
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f2377,plain,
( ! [X2] :
( frontsegP(cons(skaf83(sk3),X2),sk3)
| ~ ssList(X2) )
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f2376,f60]) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause60) ).
fof(f2376,plain,
( ! [X2] :
( frontsegP(cons(skaf83(sk3),X2),sk3)
| ~ ssList(X2)
| ~ frontsegP(X2,nil) )
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f2375,f12]) ).
fof(f2375,plain,
( ! [X2] :
( frontsegP(cons(skaf83(sk3),X2),sk3)
| ~ ssList(X2)
| ~ frontsegP(X2,nil)
| ~ ssItem(skaf83(sk3)) )
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f2359,f8]) ).
fof(f2359,plain,
( ! [X2] :
( frontsegP(cons(skaf83(sk3),X2),sk3)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(X2,nil)
| ~ ssItem(skaf83(sk3)) )
| ~ spl6_2 ),
inference(superposition,[],[f238,f681]) ).
fof(f238,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f224,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause178) ).
fof(f4312,plain,
( spl6_107
| ~ spl6_2
| ~ spl6_11
| spl6_16
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f4311,f1468,f1461,f1416,f1088,f700,f340,f250,f3337]) ).
fof(f3337,plain,
( spl6_107
<=> frontsegP(sF1,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
fof(f700,plain,
( spl6_16
<=> nil = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f4311,plain,
( frontsegP(sF1,sk3)
| ~ spl6_2
| ~ spl6_11
| spl6_16
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f4285,f13]) ).
fof(f4285,plain,
( frontsegP(sF1,sk3)
| ~ ssList(skaf82(sF1))
| ~ spl6_2
| ~ spl6_11
| spl6_16
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(superposition,[],[f2377,f1799]) ).
fof(f1799,plain,
( sF1 = cons(skaf83(sk3),skaf82(sF1))
| ~ spl6_11
| spl6_16
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f1798,f342]) ).
fof(f1798,plain,
( sF1 = cons(skaf83(sk3),skaf82(sF1))
| ~ ssList(sF1)
| ~ spl6_11
| spl6_16
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f1796,f702]) ).
fof(f702,plain,
( nil != sF1
| spl6_16 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f1796,plain,
( sF1 = cons(skaf83(sk3),skaf82(sF1))
| nil = sF1
| ~ ssList(sF1)
| ~ spl6_11
| spl6_16
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(superposition,[],[f109,f1762]) ).
fof(f1762,plain,
( skaf83(sk3) = skaf83(sF1)
| ~ spl6_11
| spl6_16
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f1761,f342]) ).
fof(f1761,plain,
( skaf83(sk3) = skaf83(sF1)
| ~ ssList(sF1)
| spl6_16
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f1756,f702]) ).
fof(f1756,plain,
( skaf83(sk3) = skaf83(sF1)
| nil = sF1
| ~ ssList(sF1)
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(superposition,[],[f1475,f650]) ).
fof(f1475,plain,
( skaf83(sk3) = hd(sF1)
| ~ spl6_39
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47 ),
inference(backward_demodulation,[],[f1090,f1474]) ).
fof(f4310,plain,
( spl6_61
| ~ spl6_2
| ~ spl6_12
| spl6_17
| ~ spl6_45
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f4309,f1461,f1416,f707,f346,f250,f2218]) ).
fof(f2218,plain,
( spl6_61
<=> frontsegP(sF2,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f346,plain,
( spl6_12
<=> ssList(sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f707,plain,
( spl6_17
<=> nil = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f4309,plain,
( frontsegP(sF2,sk3)
| ~ spl6_2
| ~ spl6_12
| spl6_17
| ~ spl6_45
| ~ spl6_46 ),
inference(subsumption_resolution,[],[f4286,f13]) ).
fof(f4286,plain,
( frontsegP(sF2,sk3)
| ~ ssList(skaf82(sF2))
| ~ spl6_2
| ~ spl6_12
| spl6_17
| ~ spl6_45
| ~ spl6_46 ),
inference(superposition,[],[f2377,f1789]) ).
fof(f1789,plain,
( sF2 = cons(skaf83(sk3),skaf82(sF2))
| ~ spl6_12
| spl6_17
| ~ spl6_45
| ~ spl6_46 ),
inference(subsumption_resolution,[],[f1788,f348]) ).
fof(f348,plain,
( ssList(sF2)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f1788,plain,
( sF2 = cons(skaf83(sk3),skaf82(sF2))
| ~ ssList(sF2)
| ~ spl6_12
| spl6_17
| ~ spl6_45
| ~ spl6_46 ),
inference(subsumption_resolution,[],[f1786,f709]) ).
fof(f709,plain,
( nil != sF2
| spl6_17 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f1786,plain,
( sF2 = cons(skaf83(sk3),skaf82(sF2))
| nil = sF2
| ~ ssList(sF2)
| ~ spl6_12
| spl6_17
| ~ spl6_45
| ~ spl6_46 ),
inference(superposition,[],[f109,f1724]) ).
fof(f1724,plain,
( skaf83(sk3) = skaf83(sF2)
| ~ spl6_12
| spl6_17
| ~ spl6_45
| ~ spl6_46 ),
inference(subsumption_resolution,[],[f1723,f348]) ).
fof(f1723,plain,
( skaf83(sk3) = skaf83(sF2)
| ~ ssList(sF2)
| spl6_17
| ~ spl6_45
| ~ spl6_46 ),
inference(subsumption_resolution,[],[f1718,f709]) ).
fof(f1718,plain,
( skaf83(sk3) = skaf83(sF2)
| nil = sF2
| ~ ssList(sF2)
| ~ spl6_45
| ~ spl6_46 ),
inference(superposition,[],[f1473,f650]) ).
fof(f4308,plain,
( spl6_31
| ~ spl6_32
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f4307,f355,f1001,f997]) ).
fof(f1001,plain,
( spl6_32
<=> frontsegP(sF4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f355,plain,
( spl6_14
<=> ssList(sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f4307,plain,
( ~ frontsegP(sF4,sk3)
| sk3 = sF4
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f4306,f205]) ).
fof(f4306,plain,
( ~ ssList(sk3)
| ~ frontsegP(sF4,sk3)
| sk3 = sF4
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f1559,f357]) ).
fof(f357,plain,
( ssList(sF4)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f1559,plain,
( ~ ssList(sF4)
| ~ ssList(sk3)
| ~ frontsegP(sF4,sk3)
| sk3 = sF4
| ~ spl6_14 ),
inference(resolution,[],[f420,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause129) ).
fof(f420,plain,
( frontsegP(sk3,sF4)
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f419,f197]) ).
fof(f197,axiom,
ssList(sk9),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_12) ).
fof(f419,plain,
( frontsegP(sk3,sF4)
| ~ ssList(sk9)
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f410,f357]) ).
fof(f410,plain,
( frontsegP(sk3,sF4)
| ~ ssList(sF4)
| ~ ssList(sk9) ),
inference(superposition,[],[f285,f244]) ).
fof(f244,plain,
sk3 = app(sF4,sk9),
inference(backward_demodulation,[],[f236,f237]) ).
fof(f237,plain,
sk3 = sF5,
inference(definition_folding,[],[f206,f236,f235,f234,f233,f232,f231]) ).
fof(f206,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f198,f191]) ).
fof(f198,axiom,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_13) ).
fof(f236,plain,
app(sF4,sk9) = sF5,
introduced(function_definition,[]) ).
fof(f285,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f218,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause85) ).
fof(f218,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause144) ).
fof(f4305,plain,
( spl6_32
| ~ spl6_2
| ~ spl6_14
| spl6_18
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f4304,f1416,f714,f355,f250,f1001]) ).
fof(f714,plain,
( spl6_18
<=> nil = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f4304,plain,
( frontsegP(sF4,sk3)
| ~ spl6_2
| ~ spl6_14
| spl6_18
| ~ spl6_45 ),
inference(subsumption_resolution,[],[f4287,f13]) ).
fof(f4287,plain,
( frontsegP(sF4,sk3)
| ~ ssList(skaf82(sF4))
| ~ spl6_2
| ~ spl6_14
| spl6_18
| ~ spl6_45 ),
inference(superposition,[],[f2377,f1784]) ).
fof(f1784,plain,
( sF4 = cons(skaf83(sk3),skaf82(sF4))
| ~ spl6_14
| spl6_18
| ~ spl6_45 ),
inference(subsumption_resolution,[],[f1783,f357]) ).
fof(f1783,plain,
( sF4 = cons(skaf83(sk3),skaf82(sF4))
| ~ ssList(sF4)
| ~ spl6_14
| spl6_18
| ~ spl6_45 ),
inference(subsumption_resolution,[],[f1781,f716]) ).
fof(f716,plain,
( nil != sF4
| spl6_18 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f1781,plain,
( sF4 = cons(skaf83(sk3),skaf82(sF4))
| nil = sF4
| ~ ssList(sF4)
| ~ spl6_14
| spl6_18
| ~ spl6_45 ),
inference(superposition,[],[f109,f1694]) ).
fof(f1694,plain,
( skaf83(sk3) = skaf83(sF4)
| ~ spl6_14
| spl6_18
| ~ spl6_45 ),
inference(subsumption_resolution,[],[f1693,f357]) ).
fof(f1693,plain,
( skaf83(sk3) = skaf83(sF4)
| ~ ssList(sF4)
| spl6_18
| ~ spl6_45 ),
inference(subsumption_resolution,[],[f1688,f716]) ).
fof(f1688,plain,
( skaf83(sk3) = skaf83(sF4)
| nil = sF4
| ~ ssList(sF4)
| ~ spl6_45 ),
inference(superposition,[],[f1418,f650]) ).
fof(f3545,plain,
( spl6_110
| ~ spl6_111
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f3536,f355,f351,f346,f340,f336,f3542,f3538]) ).
fof(f3536,plain,
( ~ frontsegP(sk7,sk3)
| sk3 = sk7
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3535,f205]) ).
fof(f3535,plain,
( ~ ssList(sk3)
| ~ frontsegP(sk7,sk3)
| sk3 = sk7
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3530,f195]) ).
fof(f3530,plain,
( ~ ssList(sk7)
| ~ ssList(sk3)
| ~ frontsegP(sk7,sk3)
| sk3 = sk7
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(resolution,[],[f3511,f129]) ).
fof(f3511,plain,
( frontsegP(sk3,sk7)
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3496,f51]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause51) ).
fof(f3496,plain,
( frontsegP(sk3,sk7)
| ~ ssList(skaf45(sk3,sF2))
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(superposition,[],[f2044,f2210]) ).
fof(f2210,plain,
( sk3 = app(sF2,skaf45(sk3,sF2))
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f2209,f348]) ).
fof(f2209,plain,
( ~ ssList(sF2)
| sk3 = app(sF2,skaf45(sk3,sF2))
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f2205,f205]) ).
fof(f2205,plain,
( ~ ssList(sk3)
| ~ ssList(sF2)
| sk3 = app(sF2,skaf45(sk3,sF2))
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(resolution,[],[f2139,f132]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause132) ).
fof(f2139,plain,
( frontsegP(sk3,sF2)
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f2133,f197]) ).
fof(f2133,plain,
( frontsegP(sk3,sF2)
| ~ ssList(sk9)
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(superposition,[],[f1584,f244]) ).
fof(f1584,plain,
( ! [X13] :
( frontsegP(app(sF4,X13),sF2)
| ~ ssList(X13) )
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f1583,f348]) ).
fof(f1583,plain,
( ! [X13] :
( ~ ssList(sF2)
| ~ ssList(X13)
| frontsegP(app(sF4,X13),sF2) )
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f1568,f357]) ).
fof(f1568,plain,
( ! [X13] :
( ~ ssList(sF4)
| ~ ssList(sF2)
| ~ ssList(X13)
| frontsegP(app(sF4,X13),sF2) )
| ~ spl6_12
| ~ spl6_13 ),
inference(resolution,[],[f137,f418]) ).
fof(f418,plain,
( frontsegP(sF4,sF2)
| ~ spl6_12
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f417,f352]) ).
fof(f417,plain,
( frontsegP(sF4,sF2)
| ~ ssList(sF3)
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f409,f348]) ).
fof(f409,plain,
( frontsegP(sF4,sF2)
| ~ ssList(sF2)
| ~ ssList(sF3) ),
inference(superposition,[],[f285,f235]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause137) ).
fof(f2044,plain,
( ! [X0] :
( frontsegP(app(sF2,X0),sk7)
| ~ ssList(X0) )
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f2043,f195]) ).
fof(f2043,plain,
( ! [X0] :
( ~ ssList(sk7)
| ~ ssList(X0)
| frontsegP(app(sF2,X0),sk7) )
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f2040,f348]) ).
fof(f2040,plain,
( ! [X0] :
( ~ ssList(sF2)
| ~ ssList(sk7)
| ~ ssList(X0)
| frontsegP(app(sF2,X0),sk7) )
| ~ spl6_10
| ~ spl6_11 ),
inference(resolution,[],[f2039,f137]) ).
fof(f2039,plain,
( frontsegP(sF2,sk7)
| ~ spl6_10
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f2033,f196]) ).
fof(f2033,plain,
( frontsegP(sF2,sk7)
| ~ ssList(sk8)
| ~ spl6_10
| ~ spl6_11 ),
inference(superposition,[],[f1580,f233]) ).
fof(f1580,plain,
( ! [X10] :
( frontsegP(app(sF1,X10),sk7)
| ~ ssList(X10) )
| ~ spl6_10
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f1579,f195]) ).
fof(f1579,plain,
( ! [X10] :
( ~ ssList(sk7)
| ~ ssList(X10)
| frontsegP(app(sF1,X10),sk7) )
| ~ spl6_10
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f1565,f342]) ).
fof(f1565,plain,
( ! [X10] :
( ~ ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(X10)
| frontsegP(app(sF1,X10),sk7) )
| ~ spl6_10 ),
inference(resolution,[],[f137,f414]) ).
fof(f414,plain,
( frontsegP(sF1,sk7)
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f413,f337]) ).
fof(f413,plain,
( frontsegP(sF1,sk7)
| ~ ssList(sF0) ),
inference(subsumption_resolution,[],[f407,f195]) ).
fof(f407,plain,
( frontsegP(sF1,sk7)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f285,f232]) ).
fof(f3340,plain,
( spl6_106
| ~ spl6_107
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f3331,f355,f351,f346,f340,f3337,f3333]) ).
fof(f3331,plain,
( ~ frontsegP(sF1,sk3)
| sk3 = sF1
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3330,f205]) ).
fof(f3330,plain,
( ~ ssList(sk3)
| ~ frontsegP(sF1,sk3)
| sk3 = sF1
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3325,f342]) ).
fof(f3325,plain,
( ~ ssList(sF1)
| ~ ssList(sk3)
| ~ frontsegP(sF1,sk3)
| sk3 = sF1
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(resolution,[],[f3322,f129]) ).
fof(f3322,plain,
( frontsegP(sk3,sF1)
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3316,f197]) ).
fof(f3316,plain,
( frontsegP(sk3,sF1)
| ~ ssList(sk9)
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(superposition,[],[f2113,f244]) ).
fof(f2113,plain,
( ! [X0] :
( frontsegP(app(sF4,X0),sF1)
| ~ ssList(X0) )
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f2112,f342]) ).
fof(f2112,plain,
( ! [X0] :
( ~ ssList(sF1)
| ~ ssList(X0)
| frontsegP(app(sF4,X0),sF1) )
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f2109,f357]) ).
fof(f2109,plain,
( ! [X0] :
( ~ ssList(sF4)
| ~ ssList(sF1)
| ~ ssList(X0)
| frontsegP(app(sF4,X0),sF1) )
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13 ),
inference(resolution,[],[f2108,f137]) ).
fof(f2108,plain,
( frontsegP(sF4,sF1)
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f2102,f352]) ).
fof(f2102,plain,
( frontsegP(sF4,sF1)
| ~ ssList(sF3)
| ~ spl6_11
| ~ spl6_12 ),
inference(superposition,[],[f1582,f235]) ).
fof(f1582,plain,
( ! [X11] :
( frontsegP(app(sF2,X11),sF1)
| ~ ssList(X11) )
| ~ spl6_11
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f1581,f342]) ).
fof(f1581,plain,
( ! [X11] :
( ~ ssList(sF1)
| ~ ssList(X11)
| frontsegP(app(sF2,X11),sF1) )
| ~ spl6_11
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f1566,f348]) ).
fof(f1566,plain,
( ! [X11] :
( ~ ssList(sF2)
| ~ ssList(sF1)
| ~ ssList(X11)
| frontsegP(app(sF2,X11),sF1) )
| ~ spl6_11 ),
inference(resolution,[],[f137,f416]) ).
fof(f416,plain,
( frontsegP(sF2,sF1)
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f415,f196]) ).
fof(f415,plain,
( frontsegP(sF2,sF1)
| ~ ssList(sk8)
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f408,f342]) ).
fof(f408,plain,
( frontsegP(sF2,sF1)
| ~ ssList(sF1)
| ~ ssList(sk8) ),
inference(superposition,[],[f285,f233]) ).
fof(f2221,plain,
( spl6_60
| ~ spl6_61
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f2212,f355,f351,f346,f2218,f2214]) ).
fof(f2212,plain,
( ~ frontsegP(sF2,sk3)
| sk3 = sF2
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f2211,f205]) ).
fof(f2211,plain,
( ~ ssList(sk3)
| ~ frontsegP(sF2,sk3)
| sk3 = sF2
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f2206,f348]) ).
fof(f2206,plain,
( ~ ssList(sF2)
| ~ ssList(sk3)
| ~ frontsegP(sF2,sk3)
| sk3 = sF2
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(resolution,[],[f2139,f129]) ).
fof(f1471,plain,
( spl6_16
| spl6_47
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f1386,f340,f1468,f700]) ).
fof(f1386,plain,
( hd(sF1) = hd(sF2)
| nil = sF1
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f1095,f196]) ).
fof(f1095,plain,
( hd(sF1) = hd(sF2)
| nil = sF1
| ~ ssList(sk8)
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f1072,f342]) ).
fof(f1072,plain,
( hd(sF1) = hd(sF2)
| ~ ssList(sF1)
| nil = sF1
| ~ ssList(sk8) ),
inference(superposition,[],[f123,f233]) ).
fof(f123,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause123) ).
fof(f1466,plain,
( ~ spl6_16
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f1465,f336,f700]) ).
fof(f1465,plain,
( nil != sF1
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1392,f195]) ).
fof(f1392,plain,
( nil != sF1
| ~ ssList(sk7)
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1391,f337]) ).
fof(f1391,plain,
( nil != sF1
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(subsumption_resolution,[],[f720,f378]) ).
fof(f720,plain,
( nil != sF1
| ~ ssList(sk7)
| nil = sF0
| ~ ssList(sF0) ),
inference(superposition,[],[f119,f232]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause119) ).
fof(f1464,plain,
( spl6_17
| spl6_46
| ~ spl6_12
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f1394,f351,f346,f1461,f707]) ).
fof(f1394,plain,
( hd(sF2) = hd(sF4)
| nil = sF2
| ~ spl6_12
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f1098,f352]) ).
fof(f1098,plain,
( hd(sF2) = hd(sF4)
| nil = sF2
| ~ ssList(sF3)
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f1073,f348]) ).
fof(f1073,plain,
( hd(sF2) = hd(sF4)
| ~ ssList(sF2)
| nil = sF2
| ~ ssList(sF3) ),
inference(superposition,[],[f123,f235]) ).
fof(f1423,plain,
( ~ spl6_18
| ~ spl6_12
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f1422,f351,f346,f714]) ).
fof(f1422,plain,
( nil != sF4
| ~ spl6_12
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f1421,f352]) ).
fof(f1421,plain,
( nil != sF4
| ~ ssList(sF3)
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f1420,f380]) ).
fof(f380,plain,
nil != sF3,
inference(subsumption_resolution,[],[f379,f194]) ).
fof(f379,plain,
( nil != sF3
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f376,f8]) ).
fof(f376,plain,
( nil != sF3
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[],[f98,f234]) ).
fof(f1420,plain,
( nil != sF4
| nil = sF3
| ~ ssList(sF3)
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f722,f348]) ).
fof(f722,plain,
( nil != sF4
| ~ ssList(sF2)
| nil = sF3
| ~ ssList(sF3) ),
inference(superposition,[],[f119,f235]) ).
fof(f1419,plain,
( spl6_18
| spl6_45
| ~ spl6_2
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f1414,f355,f250,f1416,f714]) ).
fof(f1414,plain,
( skaf83(sk3) = hd(sF4)
| nil = sF4
| ~ spl6_2
| ~ spl6_14 ),
inference(forward_demodulation,[],[f1413,f680]) ).
fof(f1413,plain,
( hd(sk3) = hd(sF4)
| nil = sF4
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f1105,f197]) ).
fof(f1105,plain,
( hd(sk3) = hd(sF4)
| nil = sF4
| ~ ssList(sk9)
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f1075,f357]) ).
fof(f1075,plain,
( hd(sk3) = hd(sF4)
| ~ ssList(sF4)
| nil = sF4
| ~ ssList(sk9) ),
inference(superposition,[],[f123,f244]) ).
fof(f1400,plain,
( spl6_17
| spl6_43
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f1395,f943,f351,f346,f340,f1397,f707]) ).
fof(f1395,plain,
( sk5 = hd(sF4)
| nil = sF2
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_25 ),
inference(forward_demodulation,[],[f1394,f1390]) ).
fof(f1390,plain,
( sk5 = hd(sF2)
| ~ spl6_11
| ~ spl6_25 ),
inference(subsumption_resolution,[],[f1389,f378]) ).
fof(f1389,plain,
( nil = sF0
| sk5 = hd(sF2)
| ~ spl6_11
| ~ spl6_25 ),
inference(forward_demodulation,[],[f1388,f945]) ).
fof(f1388,plain,
( sk5 = hd(sF2)
| nil = sF1
| ~ spl6_11
| ~ spl6_25 ),
inference(forward_demodulation,[],[f1387,f434]) ).
fof(f434,plain,
sk5 = hd(sF0),
inference(subsumption_resolution,[],[f433,f193]) ).
fof(f433,plain,
( sk5 = hd(sF0)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f430,f8]) ).
fof(f430,plain,
( sk5 = hd(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f97,f231]) ).
fof(f1387,plain,
( hd(sF0) = hd(sF2)
| nil = sF1
| ~ spl6_11
| ~ spl6_25 ),
inference(forward_demodulation,[],[f1386,f945]) ).
fof(f1133,plain,
( spl6_25
| ~ spl6_10
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f1132,f696,f336,f943]) ).
fof(f1132,plain,
( sF0 = sF1
| ~ spl6_10
| ~ spl6_15 ),
inference(subsumption_resolution,[],[f1123,f337]) ).
fof(f1123,plain,
( sF0 = sF1
| ~ ssList(sF0)
| ~ spl6_15 ),
inference(superposition,[],[f74,f1120]) ).
fof(f1120,plain,
( sF1 = app(nil,sF0)
| ~ spl6_15 ),
inference(backward_demodulation,[],[f232,f698]) ).
fof(f698,plain,
( nil = sk7
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause74) ).
fof(f1091,plain,
( spl6_15
| spl6_39
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f1086,f336,f1088,f696]) ).
fof(f1086,plain,
( hd(sk7) = hd(sF1)
| nil = sk7
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1085,f337]) ).
fof(f1085,plain,
( hd(sk7) = hd(sF1)
| nil = sk7
| ~ ssList(sF0) ),
inference(subsumption_resolution,[],[f1070,f195]) ).
fof(f1070,plain,
( hd(sk7) = hd(sF1)
| ~ ssList(sk7)
| nil = sk7
| ~ ssList(sF0) ),
inference(superposition,[],[f123,f232]) ).
fof(f710,plain,
( spl6_16
| ~ spl6_17
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f705,f340,f707,f700]) ).
fof(f705,plain,
( nil != sF2
| nil = sF1
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f704,f196]) ).
fof(f704,plain,
( nil != sF2
| nil = sF1
| ~ ssList(sk8)
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f689,f342]) ).
fof(f689,plain,
( nil != sF2
| ~ ssList(sF1)
| nil = sF1
| ~ ssList(sk8) ),
inference(superposition,[],[f118,f233]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause118) ).
fof(f494,plain,
( spl6_1
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f493,plain,
( $false
| spl6_1
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f492,f380]) ).
fof(f492,plain,
( nil = sF3
| spl6_1
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f491,f352]) ).
fof(f491,plain,
( ~ ssList(sF3)
| nil = sF3
| spl6_1
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(resolution,[],[f468,f82]) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause82) ).
fof(f468,plain,
( rearsegP(nil,sF3)
| spl6_1
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14 ),
inference(backward_demodulation,[],[f402,f464]) ).
fof(f464,plain,
( nil = sF4
| spl6_1
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f463,f357]) ).
fof(f463,plain,
( ~ ssList(sF4)
| nil = sF4
| spl6_1
| ~ spl6_14 ),
inference(resolution,[],[f454,f84]) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause84) ).
fof(f454,plain,
( frontsegP(nil,sF4)
| spl6_1
| ~ spl6_14 ),
inference(backward_demodulation,[],[f420,f452]) ).
fof(f452,plain,
( nil = sk3
| spl6_1 ),
inference(subsumption_resolution,[],[f451,f205]) ).
fof(f451,plain,
( ~ ssList(sk3)
| nil = sk3
| spl6_1 ),
inference(resolution,[],[f447,f80]) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause80) ).
fof(f447,plain,
( segmentP(nil,sk3)
| spl6_1 ),
inference(backward_demodulation,[],[f192,f445]) ).
fof(f445,plain,
( nil = sk4
| spl6_1 ),
inference(subsumption_resolution,[],[f444,f204]) ).
fof(f204,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_2) ).
fof(f444,plain,
( nil = sk4
| ~ ssList(sk4)
| spl6_1 ),
inference(subsumption_resolution,[],[f439,f8]) ).
fof(f439,plain,
( ~ ssList(nil)
| nil = sk4
| ~ ssList(sk4)
| spl6_1 ),
inference(resolution,[],[f100,f248]) ).
fof(f248,plain,
( ~ neq(sk4,nil)
| spl6_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl6_1
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause100) ).
fof(f192,axiom,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_7) ).
fof(f402,plain,
( rearsegP(sF4,sF3)
| ~ spl6_12
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f401,f348]) ).
fof(f401,plain,
( rearsegP(sF4,sF3)
| ~ ssList(sF2)
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f393,f352]) ).
fof(f393,plain,
( rearsegP(sF4,sF3)
| ~ ssList(sF3)
| ~ ssList(sF2) ),
inference(superposition,[],[f284,f235]) ).
fof(f284,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f217,f85]) ).
fof(f217,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause143) ).
fof(f374,plain,
spl6_13,
inference(avatar_split_clause,[],[f373,f351]) ).
fof(f373,plain,
ssList(sF3),
inference(subsumption_resolution,[],[f372,f194]) ).
fof(f372,plain,
( ssList(sF3)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f360,f8]) ).
fof(f360,plain,
( ssList(sF3)
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[],[f86,f234]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',clause86) ).
fof(f371,plain,
spl6_10,
inference(avatar_split_clause,[],[f370,f336]) ).
fof(f370,plain,
ssList(sF0),
inference(subsumption_resolution,[],[f369,f193]) ).
fof(f369,plain,
( ssList(sF0)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f359,f8]) ).
fof(f359,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f231]) ).
fof(f358,plain,
( ~ spl6_13
| ~ spl6_12
| spl6_14 ),
inference(avatar_split_clause,[],[f330,f355,f346,f351]) ).
fof(f330,plain,
( ssList(sF4)
| ~ ssList(sF2)
| ~ ssList(sF3) ),
inference(superposition,[],[f85,f235]) ).
fof(f349,plain,
( ~ spl6_11
| spl6_12 ),
inference(avatar_split_clause,[],[f344,f346,f340]) ).
fof(f344,plain,
( ssList(sF2)
| ~ ssList(sF1) ),
inference(subsumption_resolution,[],[f329,f196]) ).
fof(f329,plain,
( ssList(sF2)
| ~ ssList(sF1)
| ~ ssList(sk8) ),
inference(superposition,[],[f85,f233]) ).
fof(f343,plain,
( ~ spl6_10
| spl6_11 ),
inference(avatar_split_clause,[],[f334,f340,f336]) ).
fof(f334,plain,
( ssList(sF1)
| ~ ssList(sF0) ),
inference(subsumption_resolution,[],[f328,f195]) ).
fof(f328,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f232]) ).
fof(f253,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f203,f250,f246]) ).
fof(f203,axiom,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167',co1_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : SWC162-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38 % Computer : n010.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon Aug 28 15:39:34 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.23/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Gozy9GcWbp/Vampire---4.8_6167
% 0.23/0.39 % (6322)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (6323)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.43 % (6324)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.45 % (6328)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.45 % (6325)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.45 % (6326)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.45 % (6327)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.45 % (6329)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.60 % (6326)First to succeed.
% 0.23/0.60 % (6326)Refutation found. Thanks to Tanya!
% 0.23/0.60 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.60 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.60 % (6326)------------------------------
% 0.23/0.60 % (6326)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.60 % (6326)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.60 % (6326)Termination reason: Refutation
% 0.23/0.60
% 0.23/0.60 % (6326)Memory used [KB]: 9083
% 0.23/0.60 % (6326)Time elapsed: 0.153 s
% 0.23/0.60 % (6326)------------------------------
% 0.23/0.60 % (6326)------------------------------
% 0.23/0.60 % (6322)Success in time 0.217 s
% 0.23/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------