TSTP Solution File: SWC178+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC178+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 : Wed May 1 04:00:21 EDT 2024
% Result : Theorem 3.04s 1.08s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 64
% Syntax : Number of formulae : 266 ( 34 unt; 0 def)
% Number of atoms : 1183 ( 231 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 1440 ( 523 ~; 497 |; 313 &)
% ( 36 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 19 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 14 con; 0-2 aty)
% Number of variables : 411 ( 256 !; 155 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5535,plain,
$false,
inference(avatar_sat_refutation,[],[f628,f702,f705,f869,f885,f928,f931,f933,f956,f1116,f1320,f1511,f1529,f1611,f3263,f5207,f5235,f5391,f5529]) ).
fof(f5529,plain,
( ~ spl79_22
| ~ spl79_73
| spl79_98 ),
inference(avatar_contradiction_clause,[],[f5528]) ).
fof(f5528,plain,
( $false
| ~ spl79_22
| ~ spl79_73
| spl79_98 ),
inference(subsumption_resolution,[],[f5527,f927]) ).
fof(f927,plain,
( ssList(sF77)
| ~ spl79_22 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl79_22
<=> ssList(sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_22])]) ).
fof(f5527,plain,
( ~ ssList(sF77)
| ~ spl79_73
| spl79_98 ),
inference(subsumption_resolution,[],[f5512,f2448]) ).
fof(f2448,plain,
( sK55 != sF77
| spl79_98 ),
inference(avatar_component_clause,[],[f2447]) ).
fof(f2447,plain,
( spl79_98
<=> sK55 = sF77 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_98])]) ).
fof(f5512,plain,
( sK55 = sF77
| ~ ssList(sF77)
| ~ spl79_73 ),
inference(superposition,[],[f537,f5280]) ).
fof(f5280,plain,
( sK55 = app(sF77,nil)
| ~ spl79_73 ),
inference(backward_demodulation,[],[f630,f1647]) ).
fof(f1647,plain,
( nil = sK60
| ~ spl79_73 ),
inference(avatar_component_clause,[],[f1645]) ).
fof(f1645,plain,
( spl79_73
<=> nil = sK60 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_73])]) ).
fof(f630,plain,
sK55 = app(sF77,sK60),
inference(backward_demodulation,[],[f612,f629]) ).
fof(f629,plain,
sK55 = sF78,
inference(forward_demodulation,[],[f613,f556]) ).
fof(f556,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
( ( ~ neq(sK56,nil)
| singletonP(sK55) )
& ~ neq(sK57,sK58)
& sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60)
& ssList(sK60)
& ssList(sK59)
& ssItem(sK58)
& ssItem(sK57)
& segmentP(sK56,sK55)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60])],[f222,f350,f349,f348,f347,f346,f345,f344,f343]) ).
fof(f343,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK53
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK53
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK53
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK53
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(sK55) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK53
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,sK55)
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(sK55) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK53
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,sK55)
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ~ neq(sK56,nil)
| singletonP(sK55) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK53
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(sK56,sK55)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK53
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ~ neq(sK57,X5)
& ? [X6] :
( ? [X7] :
( sK53 = app(app(app(X6,cons(sK57,nil)),cons(X5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X5] :
( ~ neq(sK57,X5)
& ? [X6] :
( ? [X7] :
( sK53 = app(app(app(X6,cons(sK57,nil)),cons(X5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
=> ( ~ neq(sK57,sK58)
& ? [X6] :
( ? [X7] :
( sK53 = app(app(app(X6,cons(sK57,nil)),cons(sK58,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ? [X6] :
( ? [X7] :
( sK53 = app(app(app(X6,cons(sK57,nil)),cons(sK58,nil)),X7)
& ssList(X7) )
& ssList(X6) )
=> ( ? [X7] :
( sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),X7)
& ssList(X7) )
& ssList(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ? [X7] :
( sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),X7)
& ssList(X7) )
=> ( sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60)
& ssList(sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& 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)
=> ( ( neq(X3,nil)
& ~ singletonP(X2) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ( neq(X4,X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) ) ) ) )
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ~ singletonP(X2) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ( neq(X4,X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) ) ) ) )
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',co1) ).
fof(f613,plain,
sK53 = sF78,
inference(definition_folding,[],[f562,f612,f611,f610,f609,f608]) ).
fof(f608,plain,
cons(sK57,nil) = sF74,
introduced(function_definition,[new_symbols(definition,[sF74])]) ).
fof(f609,plain,
app(sK59,sF74) = sF75,
introduced(function_definition,[new_symbols(definition,[sF75])]) ).
fof(f610,plain,
cons(sK58,nil) = sF76,
introduced(function_definition,[new_symbols(definition,[sF76])]) ).
fof(f611,plain,
app(sF75,sF76) = sF77,
introduced(function_definition,[new_symbols(definition,[sF77])]) ).
fof(f562,plain,
sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(cnf_transformation,[],[f351]) ).
fof(f612,plain,
app(sF77,sK60) = sF78,
introduced(function_definition,[new_symbols(definition,[sF78])]) ).
fof(f537,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax84) ).
fof(f5391,plain,
( ~ spl79_5
| ~ spl79_55
| ~ spl79_98 ),
inference(avatar_contradiction_clause,[],[f5390]) ).
fof(f5390,plain,
( $false
| ~ spl79_5
| ~ spl79_55
| ~ spl79_98 ),
inference(subsumption_resolution,[],[f5308,f1510]) ).
fof(f1510,plain,
( sP0(sK55)
| ~ spl79_55 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1508,plain,
( spl79_55
<=> sP0(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_55])]) ).
fof(f5308,plain,
( ~ sP0(sK55)
| ~ spl79_5
| ~ spl79_98 ),
inference(backward_demodulation,[],[f1050,f2449]) ).
fof(f2449,plain,
( sK55 = sF77
| ~ spl79_98 ),
inference(avatar_component_clause,[],[f2447]) ).
fof(f1050,plain,
( ~ sP0(sF77)
| ~ spl79_5 ),
inference(backward_demodulation,[],[f713,f1029]) ).
fof(f1029,plain,
sF77 = app(sF75,sF74),
inference(backward_demodulation,[],[f611,f1028]) ).
fof(f1028,plain,
sF74 = sF76,
inference(forward_demodulation,[],[f1010,f608]) ).
fof(f1010,plain,
cons(sK57,nil) = sF76,
inference(backward_demodulation,[],[f610,f1007]) ).
fof(f1007,plain,
sK57 = sK58,
inference(subsumption_resolution,[],[f1006,f558]) ).
fof(f558,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f351]) ).
fof(f1006,plain,
( sK57 = sK58
| ~ ssItem(sK57) ),
inference(subsumption_resolution,[],[f1000,f559]) ).
fof(f559,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f351]) ).
fof(f1000,plain,
( sK57 = sK58
| ~ ssItem(sK58)
| ~ ssItem(sK57) ),
inference(resolution,[],[f353,f563]) ).
fof(f563,plain,
~ neq(sK57,sK58),
inference(cnf_transformation,[],[f351]) ).
fof(f353,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax1) ).
fof(f713,plain,
( ~ sP0(app(sF75,sF74))
| ~ spl79_5 ),
inference(subsumption_resolution,[],[f712,f560]) ).
fof(f560,plain,
ssList(sK59),
inference(cnf_transformation,[],[f351]) ).
fof(f712,plain,
( ~ sP0(app(sF75,sF74))
| ~ ssList(sK59)
| ~ spl79_5 ),
inference(superposition,[],[f707,f609]) ).
fof(f707,plain,
( ! [X0] :
( ~ sP0(app(app(X0,sF74),sF74))
| ~ ssList(X0) )
| ~ spl79_5 ),
inference(subsumption_resolution,[],[f706,f444]) ).
fof(f444,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax17) ).
fof(f706,plain,
( ! [X0] :
( ~ sP0(app(app(X0,sF74),sF74))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl79_5 ),
inference(superposition,[],[f697,f608]) ).
fof(f697,plain,
( ! [X0,X1] :
( ~ sP0(app(app(X1,cons(sK57,X0)),sF74))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl79_5 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl79_5
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ sP0(app(app(X1,cons(sK57,X0)),sF74)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_5])]) ).
fof(f5235,plain,
( ~ spl79_227
| spl79_73
| ~ spl79_22
| spl79_45
| ~ spl79_58 ),
inference(avatar_split_clause,[],[f5234,f1526,f1370,f925,f1645,f5062]) ).
fof(f5062,plain,
( spl79_227
<=> ssList(tl(sF77)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_227])]) ).
fof(f1370,plain,
( spl79_45
<=> nil = sF77 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_45])]) ).
fof(f1526,plain,
( spl79_58
<=> nil = tl(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_58])]) ).
fof(f5234,plain,
( nil = sK60
| ~ ssList(tl(sF77))
| ~ spl79_22
| spl79_45
| ~ spl79_58 ),
inference(subsumption_resolution,[],[f5233,f561]) ).
fof(f561,plain,
ssList(sK60),
inference(cnf_transformation,[],[f351]) ).
fof(f5233,plain,
( nil = sK60
| ~ ssList(sK60)
| ~ ssList(tl(sF77))
| ~ spl79_22
| spl79_45
| ~ spl79_58 ),
inference(subsumption_resolution,[],[f5196,f588]) ).
fof(f588,plain,
~ sP73(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP73])]) ).
fof(f5196,plain,
( sP73(nil)
| nil = sK60
| ~ ssList(sK60)
| ~ ssList(tl(sF77))
| ~ spl79_22
| spl79_45
| ~ spl79_58 ),
inference(superposition,[],[f589,f5185]) ).
fof(f5185,plain,
( nil = app(tl(sF77),sK60)
| ~ spl79_22
| spl79_45
| ~ spl79_58 ),
inference(forward_demodulation,[],[f5184,f1528]) ).
fof(f1528,plain,
( nil = tl(sK55)
| ~ spl79_58 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f5184,plain,
( tl(sK55) = app(tl(sF77),sK60)
| ~ spl79_22
| spl79_45 ),
inference(subsumption_resolution,[],[f5183,f927]) ).
fof(f5183,plain,
( tl(sK55) = app(tl(sF77),sK60)
| ~ ssList(sF77)
| spl79_45 ),
inference(subsumption_resolution,[],[f5182,f561]) ).
fof(f5182,plain,
( tl(sK55) = app(tl(sF77),sK60)
| ~ ssList(sK60)
| ~ ssList(sF77)
| spl79_45 ),
inference(subsumption_resolution,[],[f5171,f1371]) ).
fof(f1371,plain,
( nil != sF77
| spl79_45 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f5171,plain,
( tl(sK55) = app(tl(sF77),sK60)
| nil = sF77
| ~ ssList(sK60)
| ~ ssList(sF77) ),
inference(superposition,[],[f539,f630]) ).
fof(f539,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f204,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax86) ).
fof(f589,plain,
! [X0,X1] :
( sP73(app(X0,X1))
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f534,f588]) ).
fof(f534,plain,
! [X0,X1] :
( nil = X1
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,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,[],[f339]) ).
fof(f339,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,[],[f200]) ).
fof(f200,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax83) ).
fof(f5207,plain,
( ~ spl79_22
| spl79_45
| spl79_227 ),
inference(avatar_contradiction_clause,[],[f5206]) ).
fof(f5206,plain,
( $false
| ~ spl79_22
| spl79_45
| spl79_227 ),
inference(subsumption_resolution,[],[f5205,f927]) ).
fof(f5205,plain,
( ~ ssList(sF77)
| spl79_45
| spl79_227 ),
inference(subsumption_resolution,[],[f5204,f1371]) ).
fof(f5204,plain,
( nil = sF77
| ~ ssList(sF77)
| spl79_227 ),
inference(resolution,[],[f5064,f454]) ).
fof(f454,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax24) ).
fof(f5064,plain,
( ~ ssList(tl(sF77))
| spl79_227 ),
inference(avatar_component_clause,[],[f5062]) ).
fof(f3263,plain,
( spl79_4
| ~ spl79_45 ),
inference(avatar_contradiction_clause,[],[f3262]) ).
fof(f3262,plain,
( $false
| spl79_4
| ~ spl79_45 ),
inference(subsumption_resolution,[],[f3183,f521]) ).
fof(f521,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax72) ).
fof(f3183,plain,
( ~ duplicatefreeP(nil)
| spl79_4
| ~ spl79_45 ),
inference(backward_demodulation,[],[f1049,f1372]) ).
fof(f1372,plain,
( nil = sF77
| ~ spl79_45 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1049,plain,
( ~ duplicatefreeP(sF77)
| spl79_4 ),
inference(backward_demodulation,[],[f686,f1029]) ).
fof(f686,plain,
( ~ duplicatefreeP(app(sF75,sF74))
| spl79_4 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl79_4
<=> duplicatefreeP(app(sF75,sF74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_4])]) ).
fof(f1611,plain,
( ~ spl79_1
| spl79_47 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1610,plain,
( $false
| ~ spl79_1
| spl79_47 ),
inference(subsumption_resolution,[],[f1609,f553]) ).
fof(f553,plain,
ssList(sK55),
inference(cnf_transformation,[],[f351]) ).
fof(f1609,plain,
( ~ ssList(sK55)
| ~ spl79_1
| spl79_47 ),
inference(subsumption_resolution,[],[f1608,f623]) ).
fof(f623,plain,
( singletonP(sK55)
| ~ spl79_1 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl79_1
<=> singletonP(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_1])]) ).
fof(f1608,plain,
( ~ singletonP(sK55)
| ~ ssList(sK55)
| spl79_47 ),
inference(resolution,[],[f1470,f361]) ).
fof(f361,plain,
! [X0] :
( ssItem(sK10(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK10(X0),nil) = X0
& ssItem(sK10(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f242,f243]) ).
fof(f243,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK10(X0),nil) = X0
& ssItem(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f241]) ).
fof(f241,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,[],[f100]) ).
fof(f100,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax4) ).
fof(f1470,plain,
( ~ ssItem(sK10(sK55))
| spl79_47 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1468,plain,
( spl79_47
<=> ssItem(sK10(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_47])]) ).
fof(f1529,plain,
( ~ spl79_47
| spl79_58
| ~ spl79_1 ),
inference(avatar_split_clause,[],[f1524,f621,f1526,f1468]) ).
fof(f1524,plain,
( nil = tl(sK55)
| ~ ssItem(sK10(sK55))
| ~ spl79_1 ),
inference(subsumption_resolution,[],[f1452,f444]) ).
fof(f1452,plain,
( nil = tl(sK55)
| ~ ssItem(sK10(sK55))
| ~ ssList(nil)
| ~ spl79_1 ),
inference(superposition,[],[f455,f1361]) ).
fof(f1361,plain,
( sK55 = cons(sK10(sK55),nil)
| ~ spl79_1 ),
inference(subsumption_resolution,[],[f1360,f553]) ).
fof(f1360,plain,
( sK55 = cons(sK10(sK55),nil)
| ~ ssList(sK55)
| ~ spl79_1 ),
inference(resolution,[],[f623,f362]) ).
fof(f362,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK10(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f455,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax25) ).
fof(f1511,plain,
( ~ spl79_47
| spl79_55
| ~ spl79_1 ),
inference(avatar_split_clause,[],[f1506,f621,f1508,f1468]) ).
fof(f1506,plain,
( sP0(sK55)
| ~ ssItem(sK10(sK55))
| ~ spl79_1 ),
inference(subsumption_resolution,[],[f1448,f553]) ).
fof(f1448,plain,
( sP0(sK55)
| ~ ssList(sK55)
| ~ ssItem(sK10(sK55))
| ~ spl79_1 ),
inference(superposition,[],[f768,f1361]) ).
fof(f768,plain,
! [X0] :
( sP0(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(resolution,[],[f665,f500]) ).
fof(f500,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax59) ).
fof(f665,plain,
! [X0] :
( ~ cyclefreeP(X0)
| sP0(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f374,f385]) ).
fof(f385,plain,
! [X0] :
( sP1(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( sP1(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f105,f224,f223]) ).
fof(f223,plain,
! [X0] :
( sP0(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,[sP0])]) ).
fof(f224,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f105,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,[],[f104]) ).
fof(f104,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax8) ).
fof(f374,plain,
! [X0] :
( ~ sP1(X0)
| ~ cyclefreeP(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f224]) ).
fof(f1320,plain,
( spl79_4
| ~ spl79_22
| ~ spl79_29 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1319,plain,
( $false
| spl79_4
| ~ spl79_22
| ~ spl79_29 ),
inference(subsumption_resolution,[],[f1315,f521]) ).
fof(f1315,plain,
( ~ duplicatefreeP(nil)
| spl79_4
| ~ spl79_22
| ~ spl79_29 ),
inference(backward_demodulation,[],[f1049,f1308]) ).
fof(f1308,plain,
( nil = sF77
| ~ spl79_22
| ~ spl79_29 ),
inference(subsumption_resolution,[],[f1307,f927]) ).
fof(f1307,plain,
( nil = sF77
| ~ ssList(sF77)
| ~ spl79_29 ),
inference(subsumption_resolution,[],[f1306,f561]) ).
fof(f1306,plain,
( nil = sF77
| ~ ssList(sK60)
| ~ ssList(sF77)
| ~ spl79_29 ),
inference(subsumption_resolution,[],[f1281,f586]) ).
fof(f586,plain,
~ sP72(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP72])]) ).
fof(f1281,plain,
( sP72(nil)
| nil = sF77
| ~ ssList(sK60)
| ~ ssList(sF77)
| ~ spl79_29 ),
inference(superposition,[],[f587,f1127]) ).
fof(f1127,plain,
( nil = app(sF77,sK60)
| ~ spl79_29 ),
inference(backward_demodulation,[],[f630,f1124]) ).
fof(f1124,plain,
( nil = sK55
| ~ spl79_29 ),
inference(subsumption_resolution,[],[f1123,f553]) ).
fof(f1123,plain,
( nil = sK55
| ~ ssList(sK55)
| ~ spl79_29 ),
inference(resolution,[],[f1120,f498]) ).
fof(f498,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax58) ).
fof(f1120,plain,
( segmentP(nil,sK55)
| ~ spl79_29 ),
inference(backward_demodulation,[],[f557,f1094]) ).
fof(f1094,plain,
( nil = sK56
| ~ spl79_29 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1092,plain,
( spl79_29
<=> nil = sK56 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_29])]) ).
fof(f557,plain,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f351]) ).
fof(f587,plain,
! [X0,X1] :
( sP72(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f535,f586]) ).
fof(f535,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1116,plain,
( spl79_29
| spl79_2 ),
inference(avatar_split_clause,[],[f1115,f625,f1092]) ).
fof(f625,plain,
( spl79_2
<=> neq(sK56,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_2])]) ).
fof(f1115,plain,
( nil = sK56
| spl79_2 ),
inference(subsumption_resolution,[],[f1114,f554]) ).
fof(f554,plain,
ssList(sK56),
inference(cnf_transformation,[],[f351]) ).
fof(f1114,plain,
( nil = sK56
| ~ ssList(sK56)
| spl79_2 ),
inference(subsumption_resolution,[],[f1109,f444]) ).
fof(f1109,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl79_2 ),
inference(resolution,[],[f442,f627]) ).
fof(f627,plain,
( ~ neq(sK56,nil)
| spl79_2 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f442,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax15) ).
fof(f956,plain,
( ~ spl79_3
| ~ spl79_4 ),
inference(avatar_split_clause,[],[f955,f684,f680]) ).
fof(f680,plain,
( spl79_3
<=> ssList(app(sF75,sF74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_3])]) ).
fof(f955,plain,
( ~ duplicatefreeP(app(sF75,sF74))
| ~ ssList(app(sF75,sF74)) ),
inference(subsumption_resolution,[],[f797,f444]) ).
fof(f797,plain,
( ~ duplicatefreeP(app(sF75,sF74))
| ~ ssList(nil)
| ~ ssList(app(sF75,sF74)) ),
inference(superposition,[],[f668,f608]) ).
fof(f668,plain,
! [X0] :
( ~ duplicatefreeP(app(sF75,cons(sK57,X0)))
| ~ ssList(X0)
| ~ ssList(app(sF75,cons(sK57,X0))) ),
inference(subsumption_resolution,[],[f666,f560]) ).
fof(f666,plain,
! [X0] :
( ~ duplicatefreeP(app(sF75,cons(sK57,X0)))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sF75,cons(sK57,X0))) ),
inference(superposition,[],[f641,f609]) ).
fof(f641,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF74),cons(sK57,X1)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF74),cons(sK57,X1))) ),
inference(subsumption_resolution,[],[f640,f558]) ).
fof(f640,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF74),cons(sK57,X1)))
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF74),cons(sK57,X1))) ),
inference(subsumption_resolution,[],[f634,f444]) ).
fof(f634,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF74),cons(sK57,X1)))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF74),cons(sK57,X1))) ),
inference(superposition,[],[f618,f608]) ).
fof(f618,plain,
! [X10,X8,X9,X7] :
( ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssList(X10)
| ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(duplicate_literal_removal,[],[f602]) ).
fof(f602,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f601]) ).
fof(f601,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)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f426]) ).
fof(f426,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)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssList(sK42(X0))
& ssItem(sK41(X0))
& ssItem(sK40(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) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44])],[f302,f307,f306,f305,f304,f303]) ).
fof(f303,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] :
( sK40(X0) = X2
& app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = X2
& app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
& ssList(X5) )
=> ( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& ssList(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f302,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) ) )
& ( ! [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) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f301]) ).
fof(f301,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) ) )
& ( ! [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) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,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,[],[f114]) ).
fof(f114,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax13) ).
fof(f933,plain,
( ~ spl79_7
| spl79_3
| ~ spl79_11 ),
inference(avatar_split_clause,[],[f932,f774,f680,f740]) ).
fof(f740,plain,
( spl79_7
<=> ssList(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_7])]) ).
fof(f774,plain,
( spl79_11
<=> ssList(sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_11])]) ).
fof(f932,plain,
( ~ ssList(sF75)
| spl79_3
| ~ spl79_11 ),
inference(subsumption_resolution,[],[f907,f775]) ).
fof(f775,plain,
( ssList(sF74)
| ~ spl79_11 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f907,plain,
( ~ ssList(sF74)
| ~ ssList(sF75)
| spl79_3 ),
inference(resolution,[],[f456,f682]) ).
fof(f682,plain,
( ~ ssList(app(sF75,sF74))
| spl79_3 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f456,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax26) ).
fof(f931,plain,
( spl79_7
| ~ spl79_11 ),
inference(avatar_split_clause,[],[f930,f774,f740]) ).
fof(f930,plain,
( ssList(sF75)
| ~ spl79_11 ),
inference(subsumption_resolution,[],[f929,f560]) ).
fof(f929,plain,
( ssList(sF75)
| ~ ssList(sK59)
| ~ spl79_11 ),
inference(subsumption_resolution,[],[f911,f775]) ).
fof(f911,plain,
( ssList(sF75)
| ~ ssList(sF74)
| ~ ssList(sK59) ),
inference(superposition,[],[f456,f609]) ).
fof(f928,plain,
( ~ spl79_7
| spl79_22
| ~ spl79_13 ),
inference(avatar_split_clause,[],[f923,f783,f925,f740]) ).
fof(f783,plain,
( spl79_13
<=> ssList(sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_13])]) ).
fof(f923,plain,
( ssList(sF77)
| ~ ssList(sF75)
| ~ spl79_13 ),
inference(subsumption_resolution,[],[f912,f784]) ).
fof(f784,plain,
( ssList(sF76)
| ~ spl79_13 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f912,plain,
( ssList(sF77)
| ~ ssList(sF76)
| ~ ssList(sF75) ),
inference(superposition,[],[f456,f611]) ).
fof(f885,plain,
spl79_13,
inference(avatar_split_clause,[],[f884,f783]) ).
fof(f884,plain,
ssList(sF76),
inference(subsumption_resolution,[],[f883,f444]) ).
fof(f883,plain,
( ssList(sF76)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f858,f559]) ).
fof(f858,plain,
( ssList(sF76)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f443,f610]) ).
fof(f443,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,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/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax16) ).
fof(f869,plain,
spl79_11,
inference(avatar_split_clause,[],[f868,f774]) ).
fof(f868,plain,
ssList(sF74),
inference(subsumption_resolution,[],[f867,f444]) ).
fof(f867,plain,
( ssList(sF74)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f857,f558]) ).
fof(f857,plain,
( ssList(sF74)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f443,f608]) ).
fof(f705,plain,
spl79_6,
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| spl79_6 ),
inference(subsumption_resolution,[],[f703,f558]) ).
fof(f703,plain,
( ~ ssItem(sK57)
| spl79_6 ),
inference(resolution,[],[f701,f461]) ).
fof(f461,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.phlcqFsczc/Vampire---4.8_20286',ax31) ).
fof(f701,plain,
( ~ leq(sK57,sK57)
| spl79_6 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl79_6
<=> leq(sK57,sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_6])]) ).
fof(f702,plain,
( spl79_5
| ~ spl79_6 ),
inference(avatar_split_clause,[],[f694,f699,f696]) ).
fof(f694,plain,
! [X0,X1] :
( ~ leq(sK57,sK57)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ sP0(app(app(X1,cons(sK57,X0)),sF74)) ),
inference(subsumption_resolution,[],[f693,f558]) ).
fof(f693,plain,
! [X0,X1] :
( ~ leq(sK57,sK57)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57)
| ~ sP0(app(app(X1,cons(sK57,X0)),sF74)) ),
inference(duplicate_literal_removal,[],[f692]) ).
fof(f692,plain,
! [X0,X1] :
( ~ leq(sK57,sK57)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57)
| ~ sP0(app(app(X1,cons(sK57,X0)),sF74))
| ~ ssItem(sK57) ),
inference(resolution,[],[f643,f461]) ).
fof(f643,plain,
! [X2,X0,X1] :
( ~ leq(sK57,X1)
| ~ leq(X1,sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sF74)) ),
inference(subsumption_resolution,[],[f642,f558]) ).
fof(f642,plain,
! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(X1,X2)),sF74))
| ~ leq(X1,sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssItem(X1)
| ~ leq(sK57,X1) ),
inference(subsumption_resolution,[],[f635,f444]) ).
fof(f635,plain,
! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(X1,X2)),sF74))
| ~ leq(X1,sK57)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssItem(X1)
| ~ leq(sK57,X1) ),
inference(superposition,[],[f596,f608]) ).
fof(f596,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP0(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ leq(X7,X6) ),
inference(equality_resolution,[],[f376]) ).
fof(f376,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)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ( sP0(X0)
| ( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& ssList(sK19(X0))
& ssList(sK18(X0))
& ssList(sK17(X0))
& ssItem(sK16(X0))
& ssItem(sK15(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) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19])],[f260,f265,f264,f263,f262,f261]) ).
fof(f261,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,sK15(X0))
& leq(sK15(X0),X2)
& app(app(X3,cons(sK15(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK15(X0))
& leq(sK15(X0),X2)
& app(app(X3,cons(sK15(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(X3,cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f263,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(X3,cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
! [X0] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& ssList(sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
! [X0] :
( ( sP0(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) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ( sP0(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) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f628,plain,
( spl79_1
| ~ spl79_2 ),
inference(avatar_split_clause,[],[f564,f625,f621]) ).
fof(f564,plain,
( ~ neq(sK56,nil)
| singletonP(sK55) ),
inference(cnf_transformation,[],[f351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC178+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:22:43 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.phlcqFsczc/Vampire---4.8_20286
% 0.59/0.76 % (20477)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.62/0.76 % (20483)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.62/0.77 % (20479)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.62/0.77 % (20476)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.62/0.77 % (20480)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.62/0.77 % (20481)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.62/0.77 % (20478)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.62/0.77 % (20482)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.62/0.77 % (20483)Refutation not found, incomplete strategy% (20483)------------------------------
% 0.62/0.77 % (20483)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77 % (20483)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77
% 0.62/0.77 % (20483)Memory used [KB]: 1137
% 0.62/0.77 % (20483)Time elapsed: 0.005 s
% 0.62/0.77 % (20483)Instructions burned: 5 (million)
% 0.62/0.77 % (20483)------------------------------
% 0.62/0.77 % (20483)------------------------------
% 0.62/0.77 % (20484)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.79 % (20477)Instruction limit reached!
% 0.62/0.79 % (20477)------------------------------
% 0.62/0.79 % (20477)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (20477)Termination reason: Unknown
% 0.62/0.79 % (20477)Termination phase: Saturation
% 0.62/0.79
% 0.62/0.79 % (20477)Memory used [KB]: 1962
% 0.62/0.79 % (20477)Time elapsed: 0.030 s
% 0.62/0.79 % (20477)Instructions burned: 52 (million)
% 0.62/0.79 % (20477)------------------------------
% 0.62/0.79 % (20477)------------------------------
% 0.62/0.79 % (20479)Instruction limit reached!
% 0.62/0.79 % (20479)------------------------------
% 0.62/0.79 % (20479)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (20479)Termination reason: Unknown
% 0.62/0.79 % (20479)Termination phase: Saturation
% 0.62/0.79
% 0.62/0.79 % (20479)Memory used [KB]: 1844
% 0.62/0.79 % (20479)Time elapsed: 0.032 s
% 0.62/0.79 % (20479)Instructions burned: 34 (million)
% 0.62/0.79 % (20479)------------------------------
% 0.62/0.79 % (20479)------------------------------
% 0.62/0.80 % (20476)Instruction limit reached!
% 0.62/0.80 % (20476)------------------------------
% 0.62/0.80 % (20476)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (20487)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.80 % (20476)Termination reason: Unknown
% 0.62/0.80 % (20476)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (20476)Memory used [KB]: 1455
% 0.62/0.80 % (20476)Time elapsed: 0.033 s
% 0.62/0.80 % (20476)Instructions burned: 34 (million)
% 0.62/0.80 % (20476)------------------------------
% 0.62/0.80 % (20476)------------------------------
% 0.62/0.80 % (20480)Instruction limit reached!
% 0.62/0.80 % (20480)------------------------------
% 0.62/0.80 % (20480)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (20480)Termination reason: Unknown
% 0.62/0.80 % (20480)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (20480)Memory used [KB]: 2005
% 0.62/0.80 % (20480)Time elapsed: 0.033 s
% 0.62/0.80 % (20480)Instructions burned: 34 (million)
% 0.62/0.80 % (20480)------------------------------
% 0.62/0.80 % (20480)------------------------------
% 0.62/0.80 % (20488)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.80 % (20489)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.80 % (20490)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.80 % (20484)Instruction limit reached!
% 0.62/0.80 % (20484)------------------------------
% 0.62/0.80 % (20484)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (20484)Termination reason: Unknown
% 0.62/0.80 % (20484)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (20484)Memory used [KB]: 2173
% 0.62/0.80 % (20484)Time elapsed: 0.033 s
% 0.62/0.80 % (20484)Instructions burned: 55 (million)
% 0.62/0.80 % (20484)------------------------------
% 0.62/0.80 % (20484)------------------------------
% 0.62/0.80 % (20481)Instruction limit reached!
% 0.62/0.80 % (20481)------------------------------
% 0.62/0.80 % (20481)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (20481)Termination reason: Unknown
% 0.62/0.80 % (20481)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (20481)Memory used [KB]: 1657
% 0.62/0.80 % (20481)Time elapsed: 0.041 s
% 0.62/0.80 % (20481)Instructions burned: 45 (million)
% 0.62/0.80 % (20481)------------------------------
% 0.62/0.80 % (20481)------------------------------
% 0.62/0.81 % (20491)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.81 % (20493)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.62/0.82 % (20487)Instruction limit reached!
% 0.62/0.82 % (20487)------------------------------
% 0.62/0.82 % (20487)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (20487)Termination reason: Unknown
% 0.62/0.82 % (20487)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (20487)Memory used [KB]: 1899
% 0.62/0.82 % (20487)Time elapsed: 0.025 s
% 0.62/0.82 % (20487)Instructions burned: 51 (million)
% 0.62/0.82 % (20487)------------------------------
% 0.62/0.82 % (20487)------------------------------
% 0.62/0.82 % (20482)Instruction limit reached!
% 0.62/0.82 % (20482)------------------------------
% 0.62/0.82 % (20482)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (20482)Termination reason: Unknown
% 0.62/0.82 % (20482)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (20482)Memory used [KB]: 2216
% 0.62/0.82 % (20482)Time elapsed: 0.058 s
% 0.62/0.82 % (20482)Instructions burned: 83 (million)
% 0.62/0.82 % (20482)------------------------------
% 0.62/0.82 % (20482)------------------------------
% 0.62/0.82 % (20478)Instruction limit reached!
% 0.62/0.82 % (20478)------------------------------
% 0.62/0.82 % (20478)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (20478)Termination reason: Unknown
% 0.62/0.82 % (20478)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (20478)Memory used [KB]: 2171
% 0.62/0.82 % (20478)Time elapsed: 0.058 s
% 0.62/0.82 % (20478)Instructions burned: 78 (million)
% 0.62/0.82 % (20478)------------------------------
% 0.62/0.82 % (20478)------------------------------
% 0.62/0.82 % (20496)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.62/0.82 % (20497)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.62/0.83 % (20498)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.98/0.83 % (20491)Instruction limit reached!
% 0.98/0.83 % (20491)------------------------------
% 0.98/0.83 % (20491)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.83 % (20491)Termination reason: Unknown
% 0.98/0.83 % (20491)Termination phase: Saturation
% 0.98/0.83
% 0.98/0.83 % (20491)Memory used [KB]: 2107
% 0.98/0.83 % (20491)Time elapsed: 0.024 s
% 0.98/0.83 % (20491)Instructions burned: 42 (million)
% 0.98/0.83 % (20491)------------------------------
% 0.98/0.83 % (20491)------------------------------
% 0.98/0.83 % (20501)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.98/0.83 % (20489)Instruction limit reached!
% 0.98/0.83 % (20489)------------------------------
% 0.98/0.83 % (20489)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.83 % (20489)Termination reason: Unknown
% 0.98/0.83 % (20489)Termination phase: Saturation
% 0.98/0.83
% 0.98/0.83 % (20489)Memory used [KB]: 1775
% 0.98/0.83 % (20489)Time elapsed: 0.034 s
% 0.98/0.83 % (20489)Instructions burned: 53 (million)
% 0.98/0.83 % (20489)------------------------------
% 0.98/0.83 % (20489)------------------------------
% 0.98/0.84 % (20502)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.98/0.86 % (20502)Instruction limit reached!
% 0.98/0.86 % (20502)------------------------------
% 0.98/0.86 % (20502)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.86 % (20502)Termination reason: Unknown
% 0.98/0.86 % (20502)Termination phase: Saturation
% 0.98/0.86
% 0.98/0.86 % (20502)Memory used [KB]: 1466
% 0.98/0.86 % (20502)Time elapsed: 0.021 s
% 0.98/0.86 % (20502)Instructions burned: 33 (million)
% 0.98/0.86 % (20502)------------------------------
% 0.98/0.86 % (20502)------------------------------
% 0.98/0.86 % (20507)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 1.06/0.86 % (20501)Instruction limit reached!
% 1.06/0.86 % (20501)------------------------------
% 1.06/0.86 % (20501)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.86 % (20501)Termination reason: Unknown
% 1.06/0.86 % (20501)Termination phase: Saturation
% 1.06/0.86
% 1.06/0.86 % (20501)Memory used [KB]: 2118
% 1.06/0.86 % (20501)Time elapsed: 0.031 s
% 1.06/0.86 % (20501)Instructions burned: 63 (million)
% 1.06/0.86 % (20501)------------------------------
% 1.06/0.86 % (20501)------------------------------
% 1.06/0.86 % (20509)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 1.06/0.88 % (20496)Instruction limit reached!
% 1.06/0.88 % (20496)------------------------------
% 1.06/0.88 % (20496)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.88 % (20496)Termination reason: Unknown
% 1.06/0.88 % (20496)Termination phase: Saturation
% 1.06/0.88
% 1.06/0.88 % (20496)Memory used [KB]: 2035
% 1.06/0.88 % (20496)Time elapsed: 0.060 s
% 1.06/0.88 % (20496)Instructions burned: 117 (million)
% 1.06/0.88 % (20496)------------------------------
% 1.06/0.88 % (20496)------------------------------
% 1.06/0.88 % (20497)Instruction limit reached!
% 1.06/0.88 % (20497)------------------------------
% 1.06/0.88 % (20497)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.88 % (20497)Termination reason: Unknown
% 1.06/0.88 % (20497)Termination phase: Saturation
% 1.06/0.88
% 1.06/0.88 % (20497)Memory used [KB]: 1715
% 1.06/0.88 % (20497)Time elapsed: 0.059 s
% 1.06/0.88 % (20497)Instructions burned: 144 (million)
% 1.06/0.88 % (20497)------------------------------
% 1.06/0.88 % (20497)------------------------------
% 1.06/0.88 % (20498)Instruction limit reached!
% 1.06/0.88 % (20498)------------------------------
% 1.06/0.88 % (20498)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.88 % (20498)Termination reason: Unknown
% 1.06/0.88 % (20498)Termination phase: Saturation
% 1.06/0.88
% 1.06/0.88 % (20498)Memory used [KB]: 2198
% 1.06/0.88 % (20498)Time elapsed: 0.060 s
% 1.06/0.88 % (20498)Instructions burned: 93 (million)
% 1.06/0.88 % (20498)------------------------------
% 1.06/0.88 % (20498)------------------------------
% 1.06/0.88 % (20511)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.06/0.89 % (20512)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.06/0.89 % (20514)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.06/0.89 % (20509)Instruction limit reached!
% 1.06/0.89 % (20509)------------------------------
% 1.06/0.89 % (20509)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.89 % (20509)Termination reason: Unknown
% 1.06/0.89 % (20509)Termination phase: Saturation
% 1.06/0.89
% 1.06/0.89 % (20509)Memory used [KB]: 2279
% 1.06/0.89 % (20509)Time elapsed: 0.028 s
% 1.06/0.89 % (20509)Instructions burned: 55 (million)
% 1.06/0.89 % (20509)------------------------------
% 1.06/0.89 % (20509)------------------------------
% 1.06/0.89 % (20516)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.06/0.91 % (20511)Instruction limit reached!
% 1.06/0.91 % (20511)------------------------------
% 1.06/0.91 % (20511)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.91 % (20511)Termination reason: Unknown
% 1.06/0.91 % (20511)Termination phase: Saturation
% 1.06/0.91
% 1.06/0.91 % (20511)Memory used [KB]: 1884
% 1.06/0.91 % (20511)Time elapsed: 0.027 s
% 1.06/0.91 % (20511)Instructions burned: 54 (million)
% 1.06/0.91 % (20511)------------------------------
% 1.06/0.91 % (20511)------------------------------
% 1.06/0.91 % (20512)Instruction limit reached!
% 1.06/0.91 % (20512)------------------------------
% 1.06/0.91 % (20512)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.91 % (20512)Termination reason: Unknown
% 1.06/0.91 % (20512)Termination phase: Saturation
% 1.06/0.91 % (20520)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.06/0.91
% 1.06/0.91 % (20512)Memory used [KB]: 2258
% 1.06/0.91 % (20512)Time elapsed: 0.029 s
% 1.06/0.91 % (20512)Instructions burned: 46 (million)
% 1.06/0.91 % (20512)------------------------------
% 1.06/0.91 % (20512)------------------------------
% 1.06/0.91 % (20516)Instruction limit reached!
% 1.06/0.91 % (20516)------------------------------
% 1.06/0.91 % (20516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.91 % (20516)Termination reason: Unknown
% 1.06/0.91 % (20488)Instruction limit reached!
% 1.06/0.91 % (20488)------------------------------
% 1.06/0.91 % (20488)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.06/0.91 % (20488)Termination reason: Unknown
% 1.06/0.91 % (20488)Termination phase: Saturation
% 1.06/0.91
% 1.06/0.91 % (20488)Memory used [KB]: 2513
% 1.06/0.91 % (20488)Time elapsed: 0.116 s
% 1.06/0.91 % (20488)Instructions burned: 208 (million)
% 1.06/0.91 % (20488)------------------------------
% 1.06/0.91 % (20488)------------------------------
% 1.06/0.91 % (20516)Termination phase: Saturation
% 1.06/0.91
% 1.06/0.91 % (20516)Memory used [KB]: 1552
% 1.06/0.91 % (20516)Time elapsed: 0.021 s
% 1.06/0.91 % (20516)Instructions burned: 36 (million)
% 1.06/0.91 % (20516)------------------------------
% 1.06/0.91 % (20516)------------------------------
% 1.06/0.92 % (20521)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.06/0.92 % (20523)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.06/0.92 % (20522)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.51/0.94 % (20493)Instruction limit reached!
% 1.51/0.94 % (20493)------------------------------
% 1.51/0.94 % (20493)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.51/0.94 % (20493)Termination reason: Unknown
% 1.51/0.94 % (20493)Termination phase: Saturation
% 1.51/0.94
% 1.51/0.94 % (20493)Memory used [KB]: 2709
% 1.51/0.94 % (20493)Time elapsed: 0.135 s
% 1.51/0.94 % (20493)Instructions burned: 243 (million)
% 1.51/0.94 % (20493)------------------------------
% 1.51/0.94 % (20493)------------------------------
% 1.51/0.95 % (20528)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.51/0.95 % (20514)Instruction limit reached!
% 1.51/0.95 % (20514)------------------------------
% 1.51/0.95 % (20514)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.51/0.95 % (20514)Termination reason: Unknown
% 1.51/0.95 % (20514)Termination phase: Saturation
% 1.51/0.95
% 1.51/0.95 % (20514)Memory used [KB]: 2921
% 1.51/0.95 % (20514)Time elapsed: 0.065 s
% 1.51/0.95 % (20514)Instructions burned: 102 (million)
% 1.51/0.95 % (20514)------------------------------
% 1.51/0.95 % (20514)------------------------------
% 1.51/0.95 % (20520)Instruction limit reached!
% 1.51/0.95 % (20520)------------------------------
% 1.51/0.95 % (20520)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.51/0.95 % (20520)Termination reason: Unknown
% 1.51/0.95 % (20520)Termination phase: Saturation
% 1.51/0.95
% 1.51/0.95 % (20520)Memory used [KB]: 2718
% 1.51/0.95 % (20520)Time elapsed: 0.064 s
% 1.51/0.95 % (20520)Instructions burned: 87 (million)
% 1.51/0.95 % (20520)------------------------------
% 1.51/0.95 % (20520)------------------------------
% 1.51/0.95 % (20529)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.51/0.96 % (20530)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 1.51/0.96 % (20523)Instruction limit reached!
% 1.51/0.96 % (20523)------------------------------
% 1.51/0.96 % (20523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.51/0.96 % (20523)Termination reason: Unknown
% 1.51/0.96 % (20523)Termination phase: Saturation
% 1.51/0.96
% 1.51/0.96 % (20523)Memory used [KB]: 1946
% 1.51/0.96 % (20523)Time elapsed: 0.065 s
% 1.51/0.96 % (20523)Instructions burned: 70 (million)
% 1.51/0.96 % (20523)------------------------------
% 1.51/0.96 % (20523)------------------------------
% 1.51/0.96 % (20532)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.81/0.97 % (20528)Instruction limit reached!
% 1.81/0.97 % (20528)------------------------------
% 1.81/0.97 % (20528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/0.97 % (20528)Termination reason: Unknown
% 1.81/0.97 % (20528)Termination phase: Saturation
% 1.81/0.97
% 1.81/0.97 % (20528)Memory used [KB]: 1487
% 1.81/0.97 % (20528)Time elapsed: 0.048 s
% 1.81/0.97 % (20528)Instructions burned: 40 (million)
% 1.81/0.97 % (20528)------------------------------
% 1.81/0.97 % (20528)------------------------------
% 1.81/0.97 % (20533)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2993ds/37Mi)
% 1.81/0.98 % (20522)Instruction limit reached!
% 1.81/0.98 % (20522)------------------------------
% 1.81/0.98 % (20522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/0.98 % (20522)Termination reason: Unknown
% 1.81/0.98 % (20522)Termination phase: Saturation
% 1.81/0.98
% 1.81/0.98 % (20522)Memory used [KB]: 1534
% 1.81/0.98 % (20522)Time elapsed: 0.081 s
% 1.81/0.98 % (20522)Instructions burned: 161 (million)
% 1.81/0.98 % (20522)------------------------------
% 1.81/0.98 % (20522)------------------------------
% 1.81/0.98 % (20521)Instruction limit reached!
% 1.81/0.98 % (20521)------------------------------
% 1.81/0.98 % (20521)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/0.98 % (20521)Termination reason: Unknown
% 1.81/0.98 % (20521)Termination phase: Saturation
% 1.81/0.98
% 1.81/0.98 % (20521)Memory used [KB]: 2625
% 1.81/0.98 % (20521)Time elapsed: 0.087 s
% 1.81/0.98 % (20521)Instructions burned: 110 (million)
% 1.81/0.98 % (20521)------------------------------
% 1.81/0.98 % (20521)------------------------------
% 1.81/0.98 % (20534)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2993ds/55Mi)
% 1.81/0.98 % (20535)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2993ds/47Mi)
% 1.81/1.00 % (20533)Instruction limit reached!
% 1.81/1.00 % (20533)------------------------------
% 1.81/1.00 % (20533)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/1.00 % (20533)Termination reason: Unknown
% 1.81/1.00 % (20533)Termination phase: Saturation
% 1.81/1.00
% 1.81/1.00 % (20533)Memory used [KB]: 1945
% 1.81/1.00 % (20533)Time elapsed: 0.025 s
% 1.81/1.00 % (20533)Instructions burned: 37 (million)
% 1.81/1.00 % (20533)------------------------------
% 1.81/1.00 % (20533)------------------------------
% 1.81/1.00 % (20539)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2993ds/32Mi)
% 1.81/1.01 % (20532)Instruction limit reached!
% 1.81/1.01 % (20532)------------------------------
% 1.81/1.01 % (20532)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/1.01 % (20532)Termination reason: Unknown
% 1.81/1.01 % (20532)Termination phase: Saturation
% 1.81/1.01
% 1.81/1.01 % (20532)Memory used [KB]: 1687
% 1.81/1.01 % (20532)Time elapsed: 0.047 s
% 1.81/1.01 % (20532)Instructions burned: 81 (million)
% 1.81/1.01 % (20532)------------------------------
% 1.81/1.01 % (20532)------------------------------
% 1.81/1.01 % (20534)Instruction limit reached!
% 1.81/1.01 % (20534)------------------------------
% 1.81/1.01 % (20534)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/1.01 % (20534)Termination reason: Unknown
% 1.81/1.01 % (20534)Termination phase: Saturation
% 1.81/1.01
% 1.81/1.01 % (20534)Memory used [KB]: 1752
% 1.81/1.01 % (20534)Time elapsed: 0.031 s
% 1.81/1.01 % (20534)Instructions burned: 55 (million)
% 1.81/1.01 % (20534)------------------------------
% 1.81/1.01 % (20534)------------------------------
% 1.81/1.01 % (20541)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2993ds/132Mi)
% 1.81/1.01 % (20542)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2993ds/54Mi)
% 1.81/1.01 % (20541)Refutation not found, incomplete strategy% (20541)------------------------------
% 1.81/1.01 % (20541)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/1.01 % (20541)Termination reason: Refutation not found, incomplete strategy
% 1.81/1.01
% 1.81/1.01 % (20541)Memory used [KB]: 1146
% 1.81/1.01 % (20541)Time elapsed: 0.006 s
% 1.81/1.01 % (20541)Instructions burned: 7 (million)
% 1.81/1.01 % (20541)------------------------------
% 1.81/1.01 % (20541)------------------------------
% 1.81/1.01 % (20535)Instruction limit reached!
% 1.81/1.01 % (20535)------------------------------
% 1.81/1.01 % (20535)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/1.01 % (20535)Termination reason: Unknown
% 1.81/1.01 % (20535)Termination phase: Saturation
% 1.81/1.01
% 1.81/1.01 % (20535)Memory used [KB]: 1959
% 1.81/1.01 % (20535)Time elapsed: 0.033 s
% 1.81/1.01 % (20535)Instructions burned: 48 (million)
% 1.81/1.01 % (20535)------------------------------
% 1.81/1.01 % (20535)------------------------------
% 1.81/1.02 % (20544)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2993ds/82Mi)
% 1.81/1.02 % (20545)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2993ds/119Mi)
% 1.81/1.02 % (20539)Instruction limit reached!
% 1.81/1.02 % (20539)------------------------------
% 1.81/1.02 % (20539)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/1.02 % (20539)Termination reason: Unknown
% 1.81/1.02 % (20539)Termination phase: Saturation
% 1.81/1.02
% 1.81/1.02 % (20539)Memory used [KB]: 1500
% 1.81/1.02 % (20539)Time elapsed: 0.020 s
% 1.81/1.02 % (20539)Instructions burned: 33 (million)
% 1.81/1.02 % (20539)------------------------------
% 1.81/1.02 % (20539)------------------------------
% 1.81/1.02 % (20546)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2993ds/177Mi)
% 2.14/1.04 % (20530)Instruction limit reached!
% 2.14/1.04 % (20530)------------------------------
% 2.14/1.04 % (20530)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.14/1.04 % (20530)Termination reason: Unknown
% 2.14/1.04 % (20530)Termination phase: Saturation
% 2.14/1.04
% 2.14/1.04 % (20530)Memory used [KB]: 2039
% 2.14/1.04 % (20530)Time elapsed: 0.102 s
% 2.14/1.04 % (20530)Instructions burned: 161 (million)
% 2.14/1.04 % (20530)------------------------------
% 2.14/1.04 % (20530)------------------------------
% 2.14/1.04 % (20551)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2993ds/117Mi)
% 2.14/1.04 % (20542)Instruction limit reached!
% 2.14/1.04 % (20542)------------------------------
% 2.14/1.04 % (20542)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.14/1.04 % (20542)Termination reason: Unknown
% 2.14/1.04 % (20542)Termination phase: Saturation
% 2.14/1.04
% 2.14/1.04 % (20542)Memory used [KB]: 2112
% 2.14/1.04 % (20542)Time elapsed: 0.030 s
% 2.14/1.04 % (20542)Instructions burned: 55 (million)
% 2.14/1.04 % (20542)------------------------------
% 2.14/1.04 % (20542)------------------------------
% 2.14/1.04 % (20552)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2993ds/49Mi)
% 2.14/1.05 % (20544)Instruction limit reached!
% 2.14/1.05 % (20544)------------------------------
% 2.14/1.05 % (20544)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.14/1.05 % (20544)Termination reason: Unknown
% 2.14/1.05 % (20544)Termination phase: Saturation
% 2.14/1.05
% 2.14/1.05 % (20544)Memory used [KB]: 2681
% 2.14/1.05 % (20544)Time elapsed: 0.039 s
% 2.14/1.05 % (20544)Instructions burned: 84 (million)
% 2.14/1.05 % (20544)------------------------------
% 2.14/1.05 % (20544)------------------------------
% 2.14/1.06 % (20556)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2993ds/51Mi)
% 2.14/1.06 % (20552)Instruction limit reached!
% 2.14/1.06 % (20552)------------------------------
% 2.14/1.06 % (20552)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.14/1.06 % (20552)Termination reason: Unknown
% 2.14/1.06 % (20552)Termination phase: Saturation
% 2.14/1.06
% 2.14/1.06 % (20552)Memory used [KB]: 1998
% 2.14/1.06 % (20552)Time elapsed: 0.018 s
% 2.14/1.06 % (20552)Instructions burned: 50 (million)
% 2.14/1.06 % (20552)------------------------------
% 2.14/1.06 % (20552)------------------------------
% 2.14/1.06 % (20558)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2993ds/149Mi)
% 2.14/1.07 % (20490)Instruction limit reached!
% 2.14/1.07 % (20490)------------------------------
% 2.14/1.07 % (20490)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.14/1.07 % (20490)Termination reason: Unknown
% 2.14/1.07 % (20490)Termination phase: Saturation
% 2.14/1.07
% 2.14/1.07 % (20490)Memory used [KB]: 5478
% 2.14/1.07 % (20490)Time elapsed: 0.267 s
% 2.14/1.07 % (20490)Instructions burned: 518 (million)
% 2.14/1.07 % (20490)------------------------------
% 2.14/1.07 % (20490)------------------------------
% 2.14/1.07 % (20545)Instruction limit reached!
% 2.14/1.07 % (20545)------------------------------
% 2.14/1.07 % (20545)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.14/1.07 % (20545)Termination reason: Unknown
% 2.14/1.07 % (20545)Termination phase: Saturation
% 2.14/1.07
% 2.14/1.07 % (20545)Memory used [KB]: 2485
% 2.14/1.07 % (20545)Time elapsed: 0.050 s
% 2.14/1.07 % (20545)Instructions burned: 120 (million)
% 2.14/1.07 % (20545)------------------------------
% 2.14/1.07 % (20545)------------------------------
% 2.14/1.07 % (20562)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2992ds/56Mi)
% 2.14/1.07 % (20563)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on Vampire---4 for (2992ds/289Mi)
% 3.04/1.08 % (20551)Instruction limit reached!
% 3.04/1.08 % (20551)------------------------------
% 3.04/1.08 % (20551)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.04/1.08 % (20551)Termination reason: Unknown
% 3.04/1.08 % (20551)Termination phase: Saturation
% 3.04/1.08
% 3.04/1.08 % (20551)Memory used [KB]: 2175
% 3.04/1.08 % (20551)Time elapsed: 0.041 s
% 3.04/1.08 % (20551)Instructions burned: 117 (million)
% 3.04/1.08 % (20551)------------------------------
% 3.04/1.08 % (20551)------------------------------
% 3.04/1.08 % (20529)First to succeed.
% 3.04/1.08 % (20570)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on Vampire---4 for (2992ds/206Mi)
% 3.04/1.08 % (20529)Refutation found. Thanks to Tanya!
% 3.04/1.08 % SZS status Theorem for Vampire---4
% 3.04/1.08 % SZS output start Proof for Vampire---4
% See solution above
% 3.04/1.09 % (20529)------------------------------
% 3.04/1.09 % (20529)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.04/1.09 % (20529)Termination reason: Refutation
% 3.04/1.09
% 3.04/1.09 % (20529)Memory used [KB]: 3113
% 3.04/1.09 % (20529)Time elapsed: 0.155 s
% 3.04/1.09 % (20529)Instructions burned: 272 (million)
% 3.04/1.09 % (20529)------------------------------
% 3.04/1.09 % (20529)------------------------------
% 3.04/1.09 % (20452)Success in time 0.72 s
% 3.04/1.09 % Vampire---4.8 exiting
%------------------------------------------------------------------------------