TSTP Solution File: SWC173+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC173+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 : n006.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 : Sun May 5 09:49:08 EDT 2024
% Result : Theorem 1.63s 1.00s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 62
% Syntax : Number of formulae : 248 ( 32 unt; 0 def)
% Number of atoms : 1294 ( 275 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 1608 ( 562 ~; 526 |; 406 &)
% ( 28 <=>; 86 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 17 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 14 con; 0-2 aty)
% Number of variables : 488 ( 292 !; 196 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4104,plain,
$false,
inference(avatar_sat_refutation,[],[f645,f719,f732,f870,f901,f954,f957,f959,f979,f1320,f1394,f1672,f1680,f1750,f1818,f3969,f4096]) ).
fof(f4096,plain,
( ~ spl83_26
| spl83_46
| ~ spl83_59
| spl83_87
| ~ spl83_149 ),
inference(avatar_contradiction_clause,[],[f4095]) ).
fof(f4095,plain,
( $false
| ~ spl83_26
| spl83_46
| ~ spl83_59
| spl83_87
| ~ spl83_149 ),
inference(subsumption_resolution,[],[f4094,f3879]) ).
fof(f3879,plain,
( ssList(tl(sF81))
| ~ spl83_149 ),
inference(avatar_component_clause,[],[f3878]) ).
fof(f3878,plain,
( spl83_149
<=> ssList(tl(sF81)) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_149])]) ).
fof(f4094,plain,
( ~ ssList(tl(sF81))
| ~ spl83_26
| spl83_46
| ~ spl83_59
| spl83_87 ),
inference(subsumption_resolution,[],[f4093,f577]) ).
fof(f577,plain,
ssList(sK64),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
( ( ( nil = sK59
& nil = sK60 )
| sP6(sK60,sK59) )
& ~ neq(sK61,sK62)
& sK57 = app(app(app(sK63,cons(sK61,nil)),cons(sK62,nil)),sK64)
& ssList(sK64)
& ssList(sK63)
& ssItem(sK62)
& ssItem(sK61)
& sK57 = sK59
& sK58 = sK60
& ssList(sK60)
& ssList(sK59)
& ssList(sK58)
& ssList(sK57) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57,sK58,sK59,sK60,sK61,sK62,sK63,sK64])],[f352,f360,f359,f358,f357,f356,f355,f354,f353]) ).
fof(f353,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP6(X3,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) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP6(X3,X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK57
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK57 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f354,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP6(X3,X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK57
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK57 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP6(X3,X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK57
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK57 = X2
& sK58 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f355,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP6(X3,X2) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK57
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK57 = X2
& sK58 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK59
& nil = X3 )
| sP6(X3,sK59) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK57
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK57 = sK59
& sK58 = X3
& ssList(X3) )
& ssList(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f356,plain,
( ? [X3] :
( ( ( nil = sK59
& nil = X3 )
| sP6(X3,sK59) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK57
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK57 = sK59
& sK58 = X3
& ssList(X3) )
=> ( ( ( nil = sK59
& nil = sK60 )
| sP6(sK60,sK59) )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK57
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK57 = sK59
& sK58 = sK60
& ssList(sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
( ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK57
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ~ neq(sK61,X5)
& ? [X6] :
( ? [X7] :
( sK57 = app(app(app(X6,cons(sK61,nil)),cons(X5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(sK61) ) ),
introduced(choice_axiom,[]) ).
fof(f358,plain,
( ? [X5] :
( ~ neq(sK61,X5)
& ? [X6] :
( ? [X7] :
( sK57 = app(app(app(X6,cons(sK61,nil)),cons(X5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
=> ( ~ neq(sK61,sK62)
& ? [X6] :
( ? [X7] :
( sK57 = app(app(app(X6,cons(sK61,nil)),cons(sK62,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(sK62) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ? [X6] :
( ? [X7] :
( sK57 = app(app(app(X6,cons(sK61,nil)),cons(sK62,nil)),X7)
& ssList(X7) )
& ssList(X6) )
=> ( ? [X7] :
( sK57 = app(app(app(sK63,cons(sK61,nil)),cons(sK62,nil)),X7)
& ssList(X7) )
& ssList(sK63) ) ),
introduced(choice_axiom,[]) ).
fof(f360,plain,
( ? [X7] :
( sK57 = app(app(app(sK63,cons(sK61,nil)),cons(sK62,nil)),X7)
& ssList(X7) )
=> ( sK57 = app(app(app(sK63,cons(sK61,nil)),cons(sK62,nil)),sK64)
& ssList(sK64) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP6(X3,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) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f234]) ).
fof(f234,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP6(X3,X2) )
& ? [X9] :
( ? [X10] :
( ~ neq(X9,X10)
& ? [X11] :
( ? [X12] :
( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) = X0
& ssList(X12) )
& ssList(X11) )
& ssItem(X10) )
& ssItem(X9) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f223,f233]) ).
fof(f233,plain,
! [X3,X2] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ lt(X7,X4)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& ! [X8] :
( ~ lt(X4,X8)
| ~ memberP(X5,X8)
| ~ ssItem(X8) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ sP6(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ lt(X7,X4)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& ! [X8] :
( ~ lt(X4,X8)
| ~ memberP(X5,X8)
| ~ ssItem(X8) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) ) )
& ? [X9] :
( ? [X10] :
( ~ neq(X9,X10)
& ? [X11] :
( ? [X12] :
( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) = X0
& ssList(X12) )
& ssList(X11) )
& ssItem(X10) )
& ssItem(X9) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ lt(X7,X4)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& ! [X8] :
( ~ lt(X4,X8)
| ~ memberP(X5,X8)
| ~ ssItem(X8) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) ) )
& ? [X9] :
( ? [X10] :
( ~ neq(X9,X10)
& ? [X11] :
( ? [X12] :
( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) = X0
& ssList(X12) )
& ssList(X11) )
& ssItem(X10) )
& ssItem(X9) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ? [X7] :
( lt(X7,X4)
& memberP(X6,X7)
& ssItem(X7) )
| ? [X8] :
( lt(X4,X8)
& memberP(X5,X8)
& ssItem(X8) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2 ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ( neq(X9,X10)
| ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) != X0 ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( ? [X12] :
( lt(X12,X8)
& memberP(X10,X12)
& ssItem(X12) )
| ? [X11] :
( lt(X8,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,X2),X10) != X3
| cons(X8,nil) != 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 ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( ? [X12] :
( lt(X12,X8)
& memberP(X10,X12)
& ssItem(X12) )
| ? [X11] :
( lt(X8,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,X2),X10) != X3
| cons(X8,nil) != 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 ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DCU5s26iAD/Vampire---4.8_22167',co1) ).
fof(f4093,plain,
( ~ ssList(sK64)
| ~ ssList(tl(sF81))
| ~ spl83_26
| spl83_46
| ~ spl83_59
| spl83_87 ),
inference(subsumption_resolution,[],[f4092,f1785]) ).
fof(f1785,plain,
( nil != sK64
| spl83_87 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1784,plain,
( spl83_87
<=> nil = sK64 ),
introduced(avatar_definition,[new_symbols(naming,[spl83_87])]) ).
fof(f4092,plain,
( nil = sK64
| ~ ssList(sK64)
| ~ ssList(tl(sF81))
| ~ spl83_26
| spl83_46
| ~ spl83_59 ),
inference(subsumption_resolution,[],[f4071,f605]) ).
fof(f605,plain,
~ sP77(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP77])]) ).
fof(f4071,plain,
( sP77(nil)
| nil = sK64
| ~ ssList(sK64)
| ~ ssList(tl(sF81))
| ~ spl83_26
| spl83_46
| ~ spl83_59 ),
inference(superposition,[],[f606,f3548]) ).
fof(f3548,plain,
( nil = app(tl(sF81),sK64)
| ~ spl83_26
| spl83_46
| ~ spl83_59 ),
inference(forward_demodulation,[],[f3547,f1546]) ).
fof(f1546,plain,
( nil = tl(sK59)
| ~ spl83_59 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1544,plain,
( spl83_59
<=> nil = tl(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_59])]) ).
fof(f3547,plain,
( tl(sK59) = app(tl(sF81),sK64)
| ~ spl83_26
| spl83_46 ),
inference(subsumption_resolution,[],[f3546,f953]) ).
fof(f953,plain,
( ssList(sF81)
| ~ spl83_26 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl83_26
<=> ssList(sF81) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_26])]) ).
fof(f3546,plain,
( tl(sK59) = app(tl(sF81),sK64)
| ~ ssList(sF81)
| spl83_46 ),
inference(subsumption_resolution,[],[f3545,f577]) ).
fof(f3545,plain,
( tl(sK59) = app(tl(sF81),sK64)
| ~ ssList(sK64)
| ~ ssList(sF81)
| spl83_46 ),
inference(subsumption_resolution,[],[f3533,f1372]) ).
fof(f1372,plain,
( nil != sF81
| spl83_46 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1371,plain,
( spl83_46
<=> nil = sF81 ),
introduced(avatar_definition,[new_symbols(naming,[spl83_46])]) ).
fof(f3533,plain,
( tl(sK59) = app(tl(sF81),sK64)
| nil = sF81
| ~ ssList(sK64)
| ~ ssList(sF81) ),
inference(superposition,[],[f549,f652]) ).
fof(f652,plain,
sK59 = app(sF81,sK64),
inference(backward_demodulation,[],[f629,f651]) ).
fof(f651,plain,
sK59 = sF82,
inference(forward_demodulation,[],[f630,f573]) ).
fof(f573,plain,
sK57 = sK59,
inference(cnf_transformation,[],[f361]) ).
fof(f630,plain,
sK57 = sF82,
inference(definition_folding,[],[f578,f629,f628,f627,f626,f625]) ).
fof(f625,plain,
cons(sK61,nil) = sF78,
introduced(function_definition,[new_symbols(definition,[sF78])]) ).
fof(f626,plain,
app(sK63,sF78) = sF79,
introduced(function_definition,[new_symbols(definition,[sF79])]) ).
fof(f627,plain,
cons(sK62,nil) = sF80,
introduced(function_definition,[new_symbols(definition,[sF80])]) ).
fof(f628,plain,
app(sF79,sF80) = sF81,
introduced(function_definition,[new_symbols(definition,[sF81])]) ).
fof(f578,plain,
sK57 = app(app(app(sK63,cons(sK61,nil)),cons(sK62,nil)),sK64),
inference(cnf_transformation,[],[f361]) ).
fof(f629,plain,
app(sF81,sK64) = sF82,
introduced(function_definition,[new_symbols(definition,[sF82])]) ).
fof(f549,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f205]) ).
fof(f205,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.DCU5s26iAD/Vampire---4.8_22167',ax86) ).
fof(f606,plain,
! [X0,X1] :
( sP77(app(X0,X1))
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f544,f605]) ).
fof(f544,plain,
! [X0,X1] :
( nil = X1
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f343]) ).
fof(f343,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,[],[f342]) ).
fof(f342,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,[],[f201]) ).
fof(f201,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.DCU5s26iAD/Vampire---4.8_22167',ax83) ).
fof(f3969,plain,
( ~ spl83_26
| spl83_46
| spl83_149 ),
inference(avatar_contradiction_clause,[],[f3968]) ).
fof(f3968,plain,
( $false
| ~ spl83_26
| spl83_46
| spl83_149 ),
inference(subsumption_resolution,[],[f3967,f953]) ).
fof(f3967,plain,
( ~ ssList(sF81)
| spl83_46
| spl83_149 ),
inference(subsumption_resolution,[],[f3966,f1372]) ).
fof(f3966,plain,
( nil = sF81
| ~ ssList(sF81)
| spl83_149 ),
inference(resolution,[],[f3880,f464]) ).
fof(f464,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,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.DCU5s26iAD/Vampire---4.8_22167',ax24) ).
fof(f3880,plain,
( ~ ssList(tl(sF81))
| spl83_149 ),
inference(avatar_component_clause,[],[f3878]) ).
fof(f1818,plain,
( ~ spl83_6
| ~ spl83_26
| ~ spl83_57
| ~ spl83_87 ),
inference(avatar_contradiction_clause,[],[f1817]) ).
fof(f1817,plain,
( $false
| ~ spl83_6
| ~ spl83_26
| ~ spl83_57
| ~ spl83_87 ),
inference(subsumption_resolution,[],[f1807,f1534]) ).
fof(f1534,plain,
( sP0(sK59)
| ~ spl83_57 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1532,plain,
( spl83_57
<=> sP0(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_57])]) ).
fof(f1807,plain,
( ~ sP0(sK59)
| ~ spl83_6
| ~ spl83_26
| ~ spl83_87 ),
inference(backward_demodulation,[],[f1088,f1800]) ).
fof(f1800,plain,
( sK59 = sF81
| ~ spl83_26
| ~ spl83_87 ),
inference(subsumption_resolution,[],[f1795,f953]) ).
fof(f1795,plain,
( sK59 = sF81
| ~ ssList(sF81)
| ~ spl83_87 ),
inference(superposition,[],[f1792,f547]) ).
fof(f547,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,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.DCU5s26iAD/Vampire---4.8_22167',ax84) ).
fof(f1792,plain,
( sK59 = app(sF81,nil)
| ~ spl83_87 ),
inference(backward_demodulation,[],[f652,f1786]) ).
fof(f1786,plain,
( nil = sK64
| ~ spl83_87 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1088,plain,
( ~ sP0(sF81)
| ~ spl83_6 ),
inference(backward_demodulation,[],[f795,f1067]) ).
fof(f1067,plain,
sF81 = app(sF79,sF78),
inference(backward_demodulation,[],[f628,f1066]) ).
fof(f1066,plain,
sF78 = sF80,
inference(forward_demodulation,[],[f1048,f625]) ).
fof(f1048,plain,
cons(sK61,nil) = sF80,
inference(backward_demodulation,[],[f627,f1045]) ).
fof(f1045,plain,
sK61 = sK62,
inference(subsumption_resolution,[],[f1044,f574]) ).
fof(f574,plain,
ssItem(sK61),
inference(cnf_transformation,[],[f361]) ).
fof(f1044,plain,
( sK61 = sK62
| ~ ssItem(sK61) ),
inference(subsumption_resolution,[],[f1039,f575]) ).
fof(f575,plain,
ssItem(sK62),
inference(cnf_transformation,[],[f361]) ).
fof(f1039,plain,
( sK61 = sK62
| ~ ssItem(sK62)
| ~ ssItem(sK61) ),
inference(resolution,[],[f363,f579]) ).
fof(f579,plain,
~ neq(sK61,sK62),
inference(cnf_transformation,[],[f361]) ).
fof(f363,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,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.DCU5s26iAD/Vampire---4.8_22167',ax1) ).
fof(f795,plain,
( ~ sP0(app(sF79,sF78))
| ~ spl83_6 ),
inference(subsumption_resolution,[],[f794,f576]) ).
fof(f576,plain,
ssList(sK63),
inference(cnf_transformation,[],[f361]) ).
fof(f794,plain,
( ~ sP0(app(sF79,sF78))
| ~ ssList(sK63)
| ~ spl83_6 ),
inference(superposition,[],[f782,f626]) ).
fof(f782,plain,
( ! [X0] :
( ~ sP0(app(app(X0,sF78),sF78))
| ~ ssList(X0) )
| ~ spl83_6 ),
inference(subsumption_resolution,[],[f781,f454]) ).
fof(f454,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.DCU5s26iAD/Vampire---4.8_22167',ax17) ).
fof(f781,plain,
( ! [X0] :
( ~ sP0(app(app(X0,sF78),sF78))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl83_6 ),
inference(superposition,[],[f714,f625]) ).
fof(f714,plain,
( ! [X0,X1] :
( ~ sP0(app(app(X1,cons(sK61,X0)),sF78))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl83_6 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl83_6
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ sP0(app(app(X1,cons(sK61,X0)),sF78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_6])]) ).
fof(f1750,plain,
( ~ spl83_1
| spl83_74 ),
inference(avatar_contradiction_clause,[],[f1749]) ).
fof(f1749,plain,
( $false
| ~ spl83_1
| spl83_74 ),
inference(subsumption_resolution,[],[f1748,f640]) ).
fof(f640,plain,
( sP6(sK60,sK59)
| ~ spl83_1 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f638,plain,
( spl83_1
<=> sP6(sK60,sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_1])]) ).
fof(f1748,plain,
( ~ sP6(sK60,sK59)
| spl83_74 ),
inference(resolution,[],[f1661,f561]) ).
fof(f561,plain,
! [X0,X1] :
( ssItem(sK54(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0,X1] :
( ( ! [X5] :
( ~ lt(X5,sK54(X0,X1))
| ~ memberP(sK56(X0,X1),X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK54(X0,X1),X6)
| ~ memberP(sK55(X0,X1),X6)
| ~ ssItem(X6) )
& app(app(sK55(X0,X1),X1),sK56(X0,X1)) = X0
& cons(sK54(X0,X1),nil) = X1
& ssList(sK56(X0,X1))
& ssList(sK55(X0,X1))
& ssItem(sK54(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56])],[f347,f350,f349,f348]) ).
fof(f348,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,X2)
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(X2,X6)
| ~ memberP(X3,X6)
| ~ ssItem(X6) )
& app(app(X3,X1),X4) = X0
& cons(X2,nil) = X1
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,sK54(X0,X1))
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK54(X0,X1),X6)
| ~ memberP(X3,X6)
| ~ ssItem(X6) )
& app(app(X3,X1),X4) = X0
& cons(sK54(X0,X1),nil) = X1
& ssList(X4) )
& ssList(X3) )
& ssItem(sK54(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,sK54(X0,X1))
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK54(X0,X1),X6)
| ~ memberP(X3,X6)
| ~ ssItem(X6) )
& app(app(X3,X1),X4) = X0
& cons(sK54(X0,X1),nil) = X1
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ! [X5] :
( ~ lt(X5,sK54(X0,X1))
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK54(X0,X1),X6)
| ~ memberP(sK55(X0,X1),X6)
| ~ ssItem(X6) )
& app(app(sK55(X0,X1),X1),X4) = X0
& cons(sK54(X0,X1),nil) = X1
& ssList(X4) )
& ssList(sK55(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
! [X0,X1] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,sK54(X0,X1))
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK54(X0,X1),X6)
| ~ memberP(sK55(X0,X1),X6)
| ~ ssItem(X6) )
& app(app(sK55(X0,X1),X1),X4) = X0
& cons(sK54(X0,X1),nil) = X1
& ssList(X4) )
=> ( ! [X5] :
( ~ lt(X5,sK54(X0,X1))
| ~ memberP(sK56(X0,X1),X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK54(X0,X1),X6)
| ~ memberP(sK55(X0,X1),X6)
| ~ ssItem(X6) )
& app(app(sK55(X0,X1),X1),sK56(X0,X1)) = X0
& cons(sK54(X0,X1),nil) = X1
& ssList(sK56(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,X2)
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(X2,X6)
| ~ memberP(X3,X6)
| ~ ssItem(X6) )
& app(app(X3,X1),X4) = X0
& cons(X2,nil) = X1
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f346]) ).
fof(f346,plain,
! [X3,X2] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ lt(X7,X4)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& ! [X8] :
( ~ lt(X4,X8)
| ~ memberP(X5,X8)
| ~ ssItem(X8) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ sP6(X3,X2) ),
inference(nnf_transformation,[],[f233]) ).
fof(f1661,plain,
( ~ ssItem(sK54(sK60,sK59))
| spl83_74 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f1659,plain,
( spl83_74
<=> ssItem(sK54(sK60,sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_74])]) ).
fof(f1680,plain,
( ~ spl83_74
| spl83_59
| ~ spl83_1 ),
inference(avatar_split_clause,[],[f1679,f638,f1544,f1659]) ).
fof(f1679,plain,
( nil = tl(sK59)
| ~ ssItem(sK54(sK60,sK59))
| ~ spl83_1 ),
inference(subsumption_resolution,[],[f1643,f454]) ).
fof(f1643,plain,
( nil = tl(sK59)
| ~ ssItem(sK54(sK60,sK59))
| ~ ssList(nil)
| ~ spl83_1 ),
inference(superposition,[],[f465,f1630]) ).
fof(f1630,plain,
( sK59 = cons(sK54(sK60,sK59),nil)
| ~ spl83_1 ),
inference(resolution,[],[f640,f564]) ).
fof(f564,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| cons(sK54(X0,X1),nil) = X1 ),
inference(cnf_transformation,[],[f351]) ).
fof(f465,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,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.DCU5s26iAD/Vampire---4.8_22167',ax25) ).
fof(f1672,plain,
( ~ spl83_74
| spl83_57
| ~ spl83_1 ),
inference(avatar_split_clause,[],[f1671,f638,f1532,f1659]) ).
fof(f1671,plain,
( sP0(sK59)
| ~ ssItem(sK54(sK60,sK59))
| ~ spl83_1 ),
inference(subsumption_resolution,[],[f1639,f570]) ).
fof(f570,plain,
ssList(sK59),
inference(cnf_transformation,[],[f361]) ).
fof(f1639,plain,
( sP0(sK59)
| ~ ssList(sK59)
| ~ ssItem(sK54(sK60,sK59))
| ~ spl83_1 ),
inference(superposition,[],[f809,f1630]) ).
fof(f809,plain,
! [X0] :
( sP0(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(resolution,[],[f691,f510]) ).
fof(f510,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,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.DCU5s26iAD/Vampire---4.8_22167',ax59) ).
fof(f691,plain,
! [X0] :
( ~ cyclefreeP(X0)
| sP0(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f384,f395]) ).
fof(f395,plain,
! [X0] :
( sP1(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0] :
( sP1(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f106,f225,f224]) ).
fof(f224,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(f225,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f106,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,[],[f105]) ).
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(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.DCU5s26iAD/Vampire---4.8_22167',ax8) ).
fof(f384,plain,
! [X0] :
( ~ sP1(X0)
| ~ cyclefreeP(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f225]) ).
fof(f1394,plain,
( spl83_5
| ~ spl83_46 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1393,plain,
( $false
| spl83_5
| ~ spl83_46 ),
inference(subsumption_resolution,[],[f1386,f531]) ).
fof(f531,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/tmp/tmp.DCU5s26iAD/Vampire---4.8_22167',ax72) ).
fof(f1386,plain,
( ~ duplicatefreeP(nil)
| spl83_5
| ~ spl83_46 ),
inference(backward_demodulation,[],[f1087,f1373]) ).
fof(f1373,plain,
( nil = sF81
| ~ spl83_46 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1087,plain,
( ~ duplicatefreeP(sF81)
| spl83_5 ),
inference(backward_demodulation,[],[f706,f1067]) ).
fof(f706,plain,
( ~ duplicatefreeP(app(sF79,sF78))
| spl83_5 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f704,plain,
( spl83_5
<=> duplicatefreeP(app(sF79,sF78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_5])]) ).
fof(f1320,plain,
( ~ spl83_2
| spl83_5
| ~ spl83_26 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1319,plain,
( $false
| ~ spl83_2
| spl83_5
| ~ spl83_26 ),
inference(subsumption_resolution,[],[f1316,f531]) ).
fof(f1316,plain,
( ~ duplicatefreeP(nil)
| ~ spl83_2
| spl83_5
| ~ spl83_26 ),
inference(backward_demodulation,[],[f1087,f1308]) ).
fof(f1308,plain,
( nil = sF81
| ~ spl83_2
| ~ spl83_26 ),
inference(subsumption_resolution,[],[f1307,f953]) ).
fof(f1307,plain,
( nil = sF81
| ~ ssList(sF81)
| ~ spl83_2 ),
inference(subsumption_resolution,[],[f1306,f577]) ).
fof(f1306,plain,
( nil = sF81
| ~ ssList(sK64)
| ~ ssList(sF81)
| ~ spl83_2 ),
inference(subsumption_resolution,[],[f1281,f603]) ).
fof(f603,plain,
~ sP76(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP76])]) ).
fof(f1281,plain,
( sP76(nil)
| nil = sF81
| ~ ssList(sK64)
| ~ ssList(sF81)
| ~ spl83_2 ),
inference(superposition,[],[f604,f658]) ).
fof(f658,plain,
( nil = app(sF81,sK64)
| ~ spl83_2 ),
inference(backward_demodulation,[],[f652,f644]) ).
fof(f644,plain,
( nil = sK59
| ~ spl83_2 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f642,plain,
( spl83_2
<=> nil = sK59 ),
introduced(avatar_definition,[new_symbols(naming,[spl83_2])]) ).
fof(f604,plain,
! [X0,X1] :
( sP76(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f545,f603]) ).
fof(f545,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f343]) ).
fof(f979,plain,
( ~ spl83_4
| ~ spl83_5 ),
inference(avatar_split_clause,[],[f978,f704,f700]) ).
fof(f700,plain,
( spl83_4
<=> ssList(app(sF79,sF78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_4])]) ).
fof(f978,plain,
( ~ duplicatefreeP(app(sF79,sF78))
| ~ ssList(app(sF79,sF78)) ),
inference(subsumption_resolution,[],[f708,f454]) ).
fof(f708,plain,
( ~ duplicatefreeP(app(sF79,sF78))
| ~ ssList(nil)
| ~ ssList(app(sF79,sF78)) ),
inference(superposition,[],[f696,f625]) ).
fof(f696,plain,
! [X0] :
( ~ duplicatefreeP(app(sF79,cons(sK61,X0)))
| ~ ssList(X0)
| ~ ssList(app(sF79,cons(sK61,X0))) ),
inference(subsumption_resolution,[],[f694,f576]) ).
fof(f694,plain,
! [X0] :
( ~ duplicatefreeP(app(sF79,cons(sK61,X0)))
| ~ ssList(sK63)
| ~ ssList(X0)
| ~ ssList(app(sF79,cons(sK61,X0))) ),
inference(superposition,[],[f669,f626]) ).
fof(f669,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF78),cons(sK61,X1)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF78),cons(sK61,X1))) ),
inference(subsumption_resolution,[],[f668,f574]) ).
fof(f668,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF78),cons(sK61,X1)))
| ~ ssList(X0)
| ~ ssItem(sK61)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF78),cons(sK61,X1))) ),
inference(subsumption_resolution,[],[f662,f454]) ).
fof(f662,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF78),cons(sK61,X1)))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK61)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF78),cons(sK61,X1))) ),
inference(superposition,[],[f635,f625]) ).
fof(f635,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,[],[f619]) ).
fof(f619,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,[],[f618]) ).
fof(f618,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,[],[f436]) ).
fof(f436,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,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ( sK41(X0) = sK42(X0)
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
& ssList(sK45(X0))
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssItem(sK42(X0))
& ssItem(sK41(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( 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,[sK41,sK42,sK43,sK44,sK45])],[f305,f310,f309,f308,f307,f306]) ).
fof(f306,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] :
( sK41(X0) = X2
& app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK41(X0) = X2
& app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK41(X0) = sK42(X0)
& app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK41(X0) = sK42(X0)
& app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK41(X0) = sK42(X0)
& app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK41(X0) = sK42(X0)
& app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK41(X0) = sK42(X0)
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ? [X5] :
( sK41(X0) = sK42(X0)
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
& ssList(X5) )
=> ( sK41(X0) = sK42(X0)
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
& ssList(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f305,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,[],[f304]) ).
fof(f304,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,[],[f116]) ).
fof(f116,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,[],[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(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.DCU5s26iAD/Vampire---4.8_22167',ax13) ).
fof(f959,plain,
( ~ spl83_9
| spl83_4
| ~ spl83_14 ),
inference(avatar_split_clause,[],[f958,f815,f700,f743]) ).
fof(f743,plain,
( spl83_9
<=> ssList(sF79) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_9])]) ).
fof(f815,plain,
( spl83_14
<=> ssList(sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_14])]) ).
fof(f958,plain,
( ~ ssList(sF79)
| spl83_4
| ~ spl83_14 ),
inference(subsumption_resolution,[],[f937,f816]) ).
fof(f816,plain,
( ssList(sF78)
| ~ spl83_14 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f937,plain,
( ~ ssList(sF78)
| ~ ssList(sF79)
| spl83_4 ),
inference(resolution,[],[f466,f702]) ).
fof(f702,plain,
( ~ ssList(app(sF79,sF78))
| spl83_4 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f466,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,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.DCU5s26iAD/Vampire---4.8_22167',ax26) ).
fof(f957,plain,
( spl83_9
| ~ spl83_14 ),
inference(avatar_split_clause,[],[f956,f815,f743]) ).
fof(f956,plain,
( ssList(sF79)
| ~ spl83_14 ),
inference(subsumption_resolution,[],[f955,f576]) ).
fof(f955,plain,
( ssList(sF79)
| ~ ssList(sK63)
| ~ spl83_14 ),
inference(subsumption_resolution,[],[f940,f816]) ).
fof(f940,plain,
( ssList(sF79)
| ~ ssList(sF78)
| ~ ssList(sK63) ),
inference(superposition,[],[f466,f626]) ).
fof(f954,plain,
( ~ spl83_9
| spl83_26
| ~ spl83_16 ),
inference(avatar_split_clause,[],[f949,f824,f951,f743]) ).
fof(f824,plain,
( spl83_16
<=> ssList(sF80) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_16])]) ).
fof(f949,plain,
( ssList(sF81)
| ~ ssList(sF79)
| ~ spl83_16 ),
inference(subsumption_resolution,[],[f941,f825]) ).
fof(f825,plain,
( ssList(sF80)
| ~ spl83_16 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f941,plain,
( ssList(sF81)
| ~ ssList(sF80)
| ~ ssList(sF79) ),
inference(superposition,[],[f466,f628]) ).
fof(f901,plain,
spl83_16,
inference(avatar_split_clause,[],[f900,f824]) ).
fof(f900,plain,
ssList(sF80),
inference(subsumption_resolution,[],[f899,f454]) ).
fof(f899,plain,
( ssList(sF80)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f859,f575]) ).
fof(f859,plain,
( ssList(sF80)
| ~ ssItem(sK62)
| ~ ssList(nil) ),
inference(superposition,[],[f453,f627]) ).
fof(f453,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,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.DCU5s26iAD/Vampire---4.8_22167',ax16) ).
fof(f870,plain,
spl83_14,
inference(avatar_split_clause,[],[f869,f815]) ).
fof(f869,plain,
ssList(sF78),
inference(subsumption_resolution,[],[f868,f454]) ).
fof(f868,plain,
( ssList(sF78)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f858,f574]) ).
fof(f858,plain,
( ssList(sF78)
| ~ ssItem(sK61)
| ~ ssList(nil) ),
inference(superposition,[],[f453,f625]) ).
fof(f732,plain,
spl83_7,
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| spl83_7 ),
inference(subsumption_resolution,[],[f730,f574]) ).
fof(f730,plain,
( ~ ssItem(sK61)
| spl83_7 ),
inference(resolution,[],[f718,f471]) ).
fof(f471,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,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.DCU5s26iAD/Vampire---4.8_22167',ax31) ).
fof(f718,plain,
( ~ leq(sK61,sK61)
| spl83_7 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl83_7
<=> leq(sK61,sK61) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_7])]) ).
fof(f719,plain,
( spl83_6
| ~ spl83_7 ),
inference(avatar_split_clause,[],[f711,f716,f713]) ).
fof(f711,plain,
! [X0,X1] :
( ~ leq(sK61,sK61)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ sP0(app(app(X1,cons(sK61,X0)),sF78)) ),
inference(subsumption_resolution,[],[f710,f574]) ).
fof(f710,plain,
! [X0,X1] :
( ~ leq(sK61,sK61)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK61)
| ~ sP0(app(app(X1,cons(sK61,X0)),sF78)) ),
inference(duplicate_literal_removal,[],[f709]) ).
fof(f709,plain,
! [X0,X1] :
( ~ leq(sK61,sK61)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK61)
| ~ sP0(app(app(X1,cons(sK61,X0)),sF78))
| ~ ssItem(sK61) ),
inference(resolution,[],[f671,f471]) ).
fof(f671,plain,
! [X2,X0,X1] :
( ~ leq(sK61,X1)
| ~ leq(X1,sK61)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sF78)) ),
inference(subsumption_resolution,[],[f670,f574]) ).
fof(f670,plain,
! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(X1,X2)),sF78))
| ~ leq(X1,sK61)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(sK61)
| ~ ssItem(X1)
| ~ leq(sK61,X1) ),
inference(subsumption_resolution,[],[f663,f454]) ).
fof(f663,plain,
! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(X1,X2)),sF78))
| ~ leq(X1,sK61)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(sK61)
| ~ ssItem(X1)
| ~ leq(sK61,X1) ),
inference(superposition,[],[f613,f625]) ).
fof(f613,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,[],[f386]) ).
fof(f386,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,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ( sP0(X0)
| ( leq(sK17(X0),sK16(X0))
& leq(sK16(X0),sK17(X0))
& app(app(sK18(X0),cons(sK16(X0),sK19(X0))),cons(sK17(X0),sK20(X0))) = X0
& ssList(sK20(X0))
& ssList(sK19(X0))
& ssList(sK18(X0))
& ssItem(sK17(X0))
& ssItem(sK16(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,[sK16,sK17,sK18,sK19,sK20])],[f263,f268,f267,f266,f265,f264]) ).
fof(f264,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,sK16(X0))
& leq(sK16(X0),X2)
& app(app(X3,cons(sK16(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK16(X0))
& leq(sK16(X0),X2)
& app(app(X3,cons(sK16(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK17(X0),sK16(X0))
& leq(sK16(X0),sK17(X0))
& app(app(X3,cons(sK16(X0),X4)),cons(sK17(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f266,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK17(X0),sK16(X0))
& leq(sK16(X0),sK17(X0))
& app(app(X3,cons(sK16(X0),X4)),cons(sK17(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK17(X0),sK16(X0))
& leq(sK16(X0),sK17(X0))
& app(app(sK18(X0),cons(sK16(X0),X4)),cons(sK17(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f267,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK17(X0),sK16(X0))
& leq(sK16(X0),sK17(X0))
& app(app(sK18(X0),cons(sK16(X0),X4)),cons(sK17(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK17(X0),sK16(X0))
& leq(sK16(X0),sK17(X0))
& app(app(sK18(X0),cons(sK16(X0),sK19(X0))),cons(sK17(X0),X5)) = X0
& ssList(X5) )
& ssList(sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f268,plain,
! [X0] :
( ? [X5] :
( leq(sK17(X0),sK16(X0))
& leq(sK16(X0),sK17(X0))
& app(app(sK18(X0),cons(sK16(X0),sK19(X0))),cons(sK17(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK17(X0),sK16(X0))
& leq(sK16(X0),sK17(X0))
& app(app(sK18(X0),cons(sK16(X0),sK19(X0))),cons(sK17(X0),sK20(X0))) = X0
& ssList(sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f263,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,[],[f262]) ).
fof(f262,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,[],[f224]) ).
fof(f645,plain,
( spl83_1
| spl83_2 ),
inference(avatar_split_clause,[],[f581,f642,f638]) ).
fof(f581,plain,
( nil = sK59
| sP6(sK60,sK59) ),
inference(cnf_transformation,[],[f361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC173+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % 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
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 20:35:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34 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.DCU5s26iAD/Vampire---4.8_22167
% 0.52/0.75 % (22275)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)
% 0.52/0.75 % (22279)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)
% 0.52/0.75 % (22276)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)
% 0.52/0.75 % (22277)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.75 % (22282)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)
% 0.52/0.75 % (22280)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)
% 0.52/0.75 % (22281)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)
% 0.52/0.75 % (22278)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)
% 0.52/0.75 % (22282)Refutation not found, incomplete strategy% (22282)------------------------------
% 0.52/0.75 % (22282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (22282)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (22282)Memory used [KB]: 1143
% 0.52/0.75 % (22282)Time elapsed: 0.004 s
% 0.52/0.75 % (22282)Instructions burned: 6 (million)
% 0.52/0.75 % (22282)------------------------------
% 0.52/0.75 % (22282)------------------------------
% 0.52/0.75 % (22283)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 (2996ds/55Mi)
% 0.52/0.76 % (22275)Instruction limit reached!
% 0.52/0.76 % (22275)------------------------------
% 0.52/0.76 % (22275)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.76 % (22275)Termination reason: Unknown
% 0.52/0.76 % (22275)Termination phase: Saturation
% 0.52/0.76
% 0.52/0.76 % (22275)Memory used [KB]: 1545
% 0.52/0.76 % (22275)Time elapsed: 0.013 s
% 0.52/0.76 % (22275)Instructions burned: 34 (million)
% 0.52/0.76 % (22275)------------------------------
% 0.52/0.76 % (22275)------------------------------
% 0.52/0.76 % (22284)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)
% 0.52/0.76 % (22279)Instruction limit reached!
% 0.52/0.76 % (22279)------------------------------
% 0.52/0.76 % (22279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.76 % (22279)Termination reason: Unknown
% 0.52/0.76 % (22279)Termination phase: Saturation
% 0.52/0.76
% 0.52/0.76 % (22279)Memory used [KB]: 2109
% 0.52/0.76 % (22279)Time elapsed: 0.017 s
% 0.52/0.76 % (22279)Instructions burned: 35 (million)
% 0.52/0.76 % (22279)------------------------------
% 0.52/0.76 % (22279)------------------------------
% 0.52/0.76 % (22278)Instruction limit reached!
% 0.52/0.76 % (22278)------------------------------
% 0.52/0.76 % (22278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.76 % (22278)Termination reason: Unknown
% 0.52/0.76 % (22278)Termination phase: Saturation
% 0.52/0.76
% 0.52/0.76 % (22278)Memory used [KB]: 1679
% 0.52/0.76 % (22278)Time elapsed: 0.021 s
% 0.52/0.76 % (22278)Instructions burned: 34 (million)
% 0.52/0.76 % (22278)------------------------------
% 0.52/0.76 % (22278)------------------------------
% 0.62/0.77 % (22280)Instruction limit reached!
% 0.62/0.77 % (22280)------------------------------
% 0.62/0.77 % (22280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (22280)Termination reason: Unknown
% 0.62/0.77 % (22280)Termination phase: Saturation
% 0.62/0.77
% 0.62/0.77 % (22280)Memory used [KB]: 1632
% 0.62/0.77 % (22280)Time elapsed: 0.025 s
% 0.62/0.77 % (22280)Instructions burned: 45 (million)
% 0.62/0.77 % (22280)------------------------------
% 0.62/0.77 % (22280)------------------------------
% 0.62/0.77 % (22286)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)
% 0.62/0.77 % (22285)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)
% 0.62/0.77 % (22276)Instruction limit reached!
% 0.62/0.77 % (22276)------------------------------
% 0.62/0.77 % (22276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (22276)Termination reason: Unknown
% 0.62/0.77 % (22276)Termination phase: Saturation
% 0.62/0.77
% 0.62/0.77 % (22276)Memory used [KB]: 1988
% 0.62/0.77 % (22276)Time elapsed: 0.029 s
% 0.62/0.77 % (22276)Instructions burned: 51 (million)
% 0.62/0.77 % (22276)------------------------------
% 0.62/0.77 % (22276)------------------------------
% 0.62/0.77 % (22284)Instruction limit reached!
% 0.62/0.77 % (22284)------------------------------
% 0.62/0.77 % (22284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (22284)Termination reason: Unknown
% 0.62/0.77 % (22284)Termination phase: Saturation
% 0.62/0.77
% 0.62/0.77 % (22284)Memory used [KB]: 1931
% 0.62/0.77 % (22284)Time elapsed: 0.016 s
% 0.62/0.77 % (22284)Instructions burned: 54 (million)
% 0.62/0.77 % (22284)------------------------------
% 0.62/0.77 % (22284)------------------------------
% 0.62/0.78 % (22287)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)
% 0.62/0.78 % (22288)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)
% 0.62/0.78 % (22283)Instruction limit reached!
% 0.62/0.78 % (22283)------------------------------
% 0.62/0.78 % (22283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (22283)Termination reason: Unknown
% 0.62/0.78 % (22283)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (22283)Memory used [KB]: 2111
% 0.62/0.78 % (22283)Time elapsed: 0.030 s
% 0.62/0.78 % (22283)Instructions burned: 55 (million)
% 0.62/0.78 % (22283)------------------------------
% 0.62/0.78 % (22283)------------------------------
% 0.62/0.78 % (22281)Instruction limit reached!
% 0.62/0.78 % (22281)------------------------------
% 0.62/0.78 % (22281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (22281)Termination reason: Unknown
% 0.62/0.78 % (22281)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (22281)Memory used [KB]: 2103
% 0.62/0.78 % (22281)Time elapsed: 0.039 s
% 0.62/0.78 % (22281)Instructions burned: 84 (million)
% 0.62/0.78 % (22281)------------------------------
% 0.62/0.78 % (22281)------------------------------
% 0.62/0.78 % (22289)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)
% 0.62/0.79 % (22291)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)
% 0.62/0.79 % (22277)Instruction limit reached!
% 0.62/0.79 % (22277)------------------------------
% 0.62/0.79 % (22277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (22277)Termination reason: Unknown
% 0.62/0.79 % (22277)Termination phase: Saturation
% 0.62/0.79
% 0.62/0.79 % (22277)Memory used [KB]: 1939
% 0.62/0.79 % (22277)Time elapsed: 0.044 s
% 0.62/0.79 % (22277)Instructions burned: 79 (million)
% 0.62/0.79 % (22277)------------------------------
% 0.62/0.79 % (22277)------------------------------
% 0.62/0.79 % (22290)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)
% 0.62/0.79 % (22288)Instruction limit reached!
% 0.62/0.79 % (22288)------------------------------
% 0.62/0.79 % (22288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (22288)Termination reason: Unknown
% 0.62/0.79 % (22288)Termination phase: Saturation
% 0.62/0.79
% 0.62/0.79 % (22288)Memory used [KB]: 2142
% 0.62/0.79 % (22288)Time elapsed: 0.014 s
% 0.62/0.79 % (22288)Instructions burned: 42 (million)
% 0.62/0.79 % (22288)------------------------------
% 0.62/0.79 % (22288)------------------------------
% 0.62/0.79 % (22292)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)
% 0.62/0.79 % (22293)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)
% 0.62/0.80 % (22286)Instruction limit reached!
% 0.62/0.80 % (22286)------------------------------
% 0.62/0.80 % (22286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (22286)Termination reason: Unknown
% 0.62/0.80 % (22286)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (22286)Memory used [KB]: 1852
% 0.62/0.80 % (22286)Time elapsed: 0.032 s
% 0.62/0.80 % (22286)Instructions burned: 53 (million)
% 0.62/0.80 % (22286)------------------------------
% 0.62/0.80 % (22286)------------------------------
% 0.62/0.81 % (22294)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)
% 0.62/0.82 % (22293)Instruction limit reached!
% 0.62/0.82 % (22293)------------------------------
% 0.62/0.82 % (22293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (22293)Termination reason: Unknown
% 0.62/0.82 % (22293)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (22293)Memory used [KB]: 2239
% 0.62/0.82 % (22293)Time elapsed: 0.032 s
% 0.62/0.82 % (22293)Instructions burned: 63 (million)
% 0.62/0.82 % (22293)------------------------------
% 0.62/0.82 % (22293)------------------------------
% 0.62/0.83 % (22292)Instruction limit reached!
% 0.62/0.83 % (22292)------------------------------
% 0.62/0.83 % (22292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (22292)Termination reason: Unknown
% 0.62/0.83 % (22292)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (22292)Memory used [KB]: 2417
% 0.62/0.83 % (22292)Time elapsed: 0.055 s
% 0.62/0.83 % (22292)Instructions burned: 96 (million)
% 0.62/0.83 % (22292)------------------------------
% 0.62/0.83 % (22292)------------------------------
% 0.62/0.83 % (22294)Instruction limit reached!
% 0.62/0.83 % (22294)------------------------------
% 0.62/0.83 % (22294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (22294)Termination reason: Unknown
% 0.62/0.83 % (22294)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (22294)Memory used [KB]: 1502
% 0.62/0.83 % (22294)Time elapsed: 0.044 s
% 0.62/0.83 % (22294)Instructions burned: 32 (million)
% 0.62/0.83 % (22294)------------------------------
% 0.62/0.83 % (22294)------------------------------
% 0.62/0.83 % (22295)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)
% 0.62/0.83 % (22297)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 (2995ds/53Mi)
% 0.62/0.83 % (22296)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)
% 0.62/0.85 % (22297)Instruction limit reached!
% 0.62/0.85 % (22297)------------------------------
% 0.62/0.85 % (22297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (22297)Termination reason: Unknown
% 0.62/0.85 % (22297)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (22297)Memory used [KB]: 1910
% 0.62/0.85 % (22297)Time elapsed: 0.048 s
% 0.62/0.85 % (22297)Instructions burned: 53 (million)
% 0.62/0.85 % (22297)------------------------------
% 0.62/0.85 % (22297)------------------------------
% 0.62/0.86 % (22296)Instruction limit reached!
% 0.62/0.86 % (22296)------------------------------
% 0.62/0.86 % (22296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.86 % (22296)Termination reason: Unknown
% 0.62/0.86 % (22296)Termination phase: Saturation
% 0.62/0.86
% 0.62/0.86 % (22296)Memory used [KB]: 2255
% 0.62/0.86 % (22296)Time elapsed: 0.050 s
% 0.62/0.86 % (22296)Instructions burned: 55 (million)
% 0.62/0.86 % (22296)------------------------------
% 0.62/0.86 % (22296)------------------------------
% 0.62/0.86 % (22290)Instruction limit reached!
% 0.62/0.86 % (22290)------------------------------
% 0.62/0.86 % (22290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.86 % (22290)Termination reason: Unknown
% 0.62/0.86 % (22290)Termination phase: Saturation
% 0.62/0.86
% 0.62/0.86 % (22290)Memory used [KB]: 3185
% 0.62/0.86 % (22290)Time elapsed: 0.092 s
% 0.62/0.86 % (22290)Instructions burned: 117 (million)
% 0.62/0.86 % (22290)------------------------------
% 0.62/0.86 % (22290)------------------------------
% 0.62/0.86 % (22298)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 (2995ds/46Mi)
% 0.62/0.86 % (22291)Instruction limit reached!
% 0.62/0.86 % (22291)------------------------------
% 0.62/0.86 % (22291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.86 % (22291)Termination reason: Unknown
% 0.62/0.86 % (22291)Termination phase: Saturation
% 0.62/0.86
% 0.62/0.86 % (22291)Memory used [KB]: 3198
% 0.62/0.86 % (22291)Time elapsed: 0.076 s
% 0.62/0.86 % (22291)Instructions burned: 144 (million)
% 0.62/0.86 % (22291)------------------------------
% 0.62/0.86 % (22291)------------------------------
% 0.62/0.86 % (22300)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)
% 1.17/0.86 % (22299)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 (2995ds/102Mi)
% 1.17/0.87 % (22285)Instruction limit reached!
% 1.17/0.87 % (22285)------------------------------
% 1.17/0.87 % (22285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.17/0.87 % (22285)Termination reason: Unknown
% 1.17/0.87 % (22285)Termination phase: Saturation
% 1.17/0.87
% 1.17/0.87 % (22285)Memory used [KB]: 2642
% 1.17/0.87 % (22285)Time elapsed: 0.099 s
% 1.17/0.87 % (22285)Instructions burned: 208 (million)
% 1.17/0.87 % (22285)------------------------------
% 1.17/0.87 % (22285)------------------------------
% 1.17/0.87 % (22302)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)
% 1.17/0.87 % (22301)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)
% 1.17/0.88 % (22300)Instruction limit reached!
% 1.17/0.88 % (22300)------------------------------
% 1.17/0.88 % (22300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.17/0.88 % (22300)Termination reason: Unknown
% 1.17/0.88 % (22300)Termination phase: Saturation
% 1.17/0.88
% 1.17/0.88 % (22300)Memory used [KB]: 1620
% 1.17/0.88 % (22300)Time elapsed: 0.020 s
% 1.17/0.88 % (22300)Instructions burned: 36 (million)
% 1.17/0.88 % (22300)------------------------------
% 1.17/0.88 % (22300)------------------------------
% 1.17/0.88 % (22298)Instruction limit reached!
% 1.17/0.88 % (22298)------------------------------
% 1.17/0.88 % (22298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.17/0.88 % (22298)Termination reason: Unknown
% 1.17/0.88 % (22298)Termination phase: Saturation
% 1.17/0.88
% 1.17/0.88 % (22298)Memory used [KB]: 2052
% 1.17/0.88 % (22298)Time elapsed: 0.052 s
% 1.17/0.88 % (22298)Instructions burned: 46 (million)
% 1.17/0.88 % (22298)------------------------------
% 1.17/0.88 % (22298)------------------------------
% 1.17/0.89 % (22303)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)
% 1.17/0.89 % (22303)Refutation not found, incomplete strategy% (22303)------------------------------
% 1.17/0.89 % (22303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.17/0.89 % (22303)Termination reason: Refutation not found, incomplete strategy
% 1.17/0.89
% 1.17/0.89 % (22303)Memory used [KB]: 1141
% 1.17/0.89 % (22303)Time elapsed: 0.005 s
% 1.17/0.89 % (22303)Instructions burned: 6 (million)
% 1.17/0.89 % (22303)------------------------------
% 1.17/0.89 % (22303)------------------------------
% 1.32/0.89 % (22304)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)
% 1.32/0.90 % (22305)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)
% 1.32/0.90 % (22289)Instruction limit reached!
% 1.32/0.90 % (22289)------------------------------
% 1.32/0.90 % (22289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.90 % (22289)Termination reason: Unknown
% 1.32/0.90 % (22289)Termination phase: Saturation
% 1.32/0.90
% 1.32/0.90 % (22289)Memory used [KB]: 2718
% 1.32/0.90 % (22289)Time elapsed: 0.142 s
% 1.32/0.90 % (22289)Instructions burned: 243 (million)
% 1.32/0.90 % (22289)------------------------------
% 1.32/0.90 % (22289)------------------------------
% 1.32/0.91 % (22306)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)
% 1.32/0.92 % (22301)Instruction limit reached!
% 1.32/0.92 % (22301)------------------------------
% 1.32/0.92 % (22301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.92 % (22301)Termination reason: Unknown
% 1.32/0.92 % (22301)Termination phase: Saturation
% 1.32/0.92
% 1.32/0.92 % (22301)Memory used [KB]: 2655
% 1.32/0.92 % (22301)Time elapsed: 0.045 s
% 1.32/0.92 % (22301)Instructions burned: 88 (million)
% 1.32/0.92 % (22301)------------------------------
% 1.32/0.92 % (22301)------------------------------
% 1.32/0.92 % (22305)Instruction limit reached!
% 1.32/0.92 % (22305)------------------------------
% 1.32/0.92 % (22305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.92 % (22305)Termination reason: Unknown
% 1.32/0.92 % (22305)Termination phase: Saturation
% 1.32/0.92
% 1.32/0.92 % (22305)Memory used [KB]: 1578
% 1.32/0.92 % (22305)Time elapsed: 0.025 s
% 1.32/0.92 % (22305)Instructions burned: 42 (million)
% 1.32/0.92 % (22305)------------------------------
% 1.32/0.92 % (22305)------------------------------
% 1.32/0.92 % (22299)Instruction limit reached!
% 1.32/0.92 % (22299)------------------------------
% 1.32/0.92 % (22299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.92 % (22299)Termination reason: Unknown
% 1.32/0.92 % (22299)Termination phase: Saturation
% 1.32/0.92
% 1.32/0.92 % (22299)Memory used [KB]: 2853
% 1.32/0.92 % (22299)Time elapsed: 0.087 s
% 1.32/0.92 % (22299)Instructions burned: 102 (million)
% 1.32/0.92 % (22299)------------------------------
% 1.32/0.92 % (22299)------------------------------
% 1.32/0.92 % (22307)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)
% 1.32/0.92 % (22308)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)
% 1.58/0.92 % (22302)Instruction limit reached!
% 1.58/0.92 % (22302)------------------------------
% 1.58/0.92 % (22302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/0.92 % (22302)Termination reason: Unknown
% 1.58/0.92 % (22302)Termination phase: Saturation
% 1.58/0.92
% 1.58/0.92 % (22302)Memory used [KB]: 2615
% 1.58/0.92 % (22302)Time elapsed: 0.055 s
% 1.58/0.92 % (22302)Instructions burned: 110 (million)
% 1.58/0.92 % (22302)------------------------------
% 1.58/0.92 % (22302)------------------------------
% 1.58/0.93 % (22309)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 (2994ds/37Mi)
% 1.63/0.93 % (22304)Instruction limit reached!
% 1.63/0.93 % (22304)------------------------------
% 1.63/0.93 % (22304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/0.93 % (22304)Termination reason: Unknown
% 1.63/0.93 % (22304)Termination phase: Saturation
% 1.63/0.93
% 1.63/0.93 % (22304)Memory used [KB]: 2257
% 1.63/0.93 % (22304)Time elapsed: 0.039 s
% 1.63/0.93 % (22304)Instructions burned: 69 (million)
% 1.63/0.93 % (22304)------------------------------
% 1.63/0.93 % (22304)------------------------------
% 1.63/0.93 % (22310)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 (2994ds/55Mi)
% 1.63/0.94 % (22311)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 (2994ds/47Mi)
% 1.63/0.95 % (22309)Instruction limit reached!
% 1.63/0.95 % (22309)------------------------------
% 1.63/0.95 % (22309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/0.95 % (22309)Termination reason: Unknown
% 1.63/0.95 % (22309)Termination phase: Saturation
% 1.63/0.95
% 1.63/0.95 % (22309)Memory used [KB]: 2008
% 1.63/0.95 % (22309)Time elapsed: 0.023 s
% 1.63/0.95 % (22309)Instructions burned: 38 (million)
% 1.63/0.95 % (22309)------------------------------
% 1.63/0.95 % (22309)------------------------------
% 1.63/0.95 % (22312)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.63/0.96 % (22311)Instruction limit reached!
% 1.63/0.96 % (22311)------------------------------
% 1.63/0.96 % (22311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/0.96 % (22311)Termination reason: Unknown
% 1.63/0.96 % (22311)Termination phase: Saturation
% 1.63/0.96
% 1.63/0.96 % (22311)Memory used [KB]: 1704
% 1.63/0.96 % (22311)Time elapsed: 0.024 s
% 1.63/0.96 % (22311)Instructions burned: 49 (million)
% 1.63/0.96 % (22311)------------------------------
% 1.63/0.96 % (22311)------------------------------
% 1.63/0.96 % (22310)Instruction limit reached!
% 1.63/0.96 % (22310)------------------------------
% 1.63/0.96 % (22310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/0.96 % (22310)Termination reason: Unknown
% 1.63/0.96 % (22310)Termination phase: Saturation
% 1.63/0.96
% 1.63/0.96 % (22310)Memory used [KB]: 1828
% 1.63/0.96 % (22310)Time elapsed: 0.028 s
% 1.63/0.96 % (22310)Instructions burned: 56 (million)
% 1.63/0.96 % (22310)------------------------------
% 1.63/0.96 % (22310)------------------------------
% 1.63/0.96 % (22314)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)
% 1.63/0.96 % (22308)Instruction limit reached!
% 1.63/0.96 % (22308)------------------------------
% 1.63/0.96 % (22308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/0.96 % (22308)Termination reason: Unknown
% 1.63/0.96 % (22308)Termination phase: Saturation
% 1.63/0.96
% 1.63/0.96 % (22308)Memory used [KB]: 1720
% 1.63/0.96 % (22308)Time elapsed: 0.043 s
% 1.63/0.96 % (22308)Instructions burned: 80 (million)
% 1.63/0.96 % (22308)------------------------------
% 1.63/0.96 % (22308)------------------------------
% 1.63/0.96 % (22313)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)
% 1.63/0.97 % (22312)Instruction limit reached!
% 1.63/0.97 % (22312)------------------------------
% 1.63/0.97 % (22312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/0.97 % (22312)Termination reason: Unknown
% 1.63/0.97 % (22312)Termination phase: Saturation
% 1.63/0.97
% 1.63/0.97 % (22312)Memory used [KB]: 1522
% 1.63/0.97 % (22312)Time elapsed: 0.018 s
% 1.63/0.97 % (22312)Instructions burned: 33 (million)
% 1.63/0.97 % (22312)------------------------------
% 1.63/0.97 % (22312)------------------------------
% 1.63/0.97 % (22315)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)
% 1.63/0.98 % (22316)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)
% 1.63/0.99 % (22314)Instruction limit reached!
% 1.63/0.99 % (22314)------------------------------
% 1.63/0.99 % (22314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/0.99 % (22314)Termination reason: Unknown
% 1.63/0.99 % (22314)Termination phase: Saturation
% 1.63/0.99
% 1.63/0.99 % (22314)Memory used [KB]: 1661
% 1.63/0.99 % (22314)Time elapsed: 0.028 s
% 1.63/0.99 % (22314)Instructions burned: 55 (million)
% 1.63/0.99 % (22314)------------------------------
% 1.63/0.99 % (22314)------------------------------
% 1.63/0.99 % (22306)First to succeed.
% 1.63/0.99 % (22317)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)
% 1.63/1.00 % (22306)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22274"
% 1.63/1.00 % (22306)Refutation found. Thanks to Tanya!
% 1.63/1.00 % SZS status Theorem for Vampire---4
% 1.63/1.00 % SZS output start Proof for Vampire---4
% See solution above
% 1.94/1.00 % (22306)------------------------------
% 1.94/1.00 % (22306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.94/1.00 % (22306)Termination reason: Refutation
% 1.94/1.00
% 1.94/1.00 % (22306)Memory used [KB]: 2624
% 1.94/1.00 % (22306)Time elapsed: 0.092 s
% 1.94/1.00 % (22306)Instructions burned: 174 (million)
% 1.94/1.00 % (22274)Success in time 0.648 s
% 1.94/1.00 % Vampire---4.8 exiting
%------------------------------------------------------------------------------