TSTP Solution File: SWC187+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC187+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.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 Aug 31 18:39:26 EDT 2022
% Result : Theorem 2.67s 0.80s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 52
% Syntax : Number of formulae : 265 ( 18 unt; 0 def)
% Number of atoms : 1121 ( 296 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 1374 ( 518 ~; 555 |; 211 &)
% ( 28 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 23 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 239 ( 147 !; 92 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3913,plain,
$false,
inference(avatar_sat_refutation,[],[f640,f664,f675,f686,f1139,f1143,f1184,f2317,f2321,f2460,f2927,f3211,f3238,f3371,f3379,f3389,f3422,f3480,f3689,f3690,f3721,f3848,f3901]) ).
fof(f3901,plain,
( ~ spl65_2
| ~ spl65_3
| ~ spl65_57
| spl65_65
| ~ spl65_67 ),
inference(avatar_contradiction_clause,[],[f3900]) ).
fof(f3900,plain,
( $false
| ~ spl65_2
| ~ spl65_3
| ~ spl65_57
| spl65_65
| ~ spl65_67 ),
inference(subsumption_resolution,[],[f3899,f2337]) ).
fof(f2337,plain,
( ~ frontsegP(sK43,sK40)
| spl65_65 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f2335,plain,
( spl65_65
<=> frontsegP(sK43,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_65])]) ).
fof(f3899,plain,
( frontsegP(sK43,sK40)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_57
| ~ spl65_67 ),
inference(subsumption_resolution,[],[f3885,f2418]) ).
fof(f2418,plain,
( ssList(tl(sK43))
| ~ spl65_67 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f2417,plain,
( spl65_67
<=> ssList(tl(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_67])]) ).
fof(f3885,plain,
( ~ ssList(tl(sK43))
| frontsegP(sK43,sK40)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_57 ),
inference(superposition,[],[f1612,f1977]) ).
fof(f1977,plain,
( sK43 = cons(sK45,tl(sK43))
| ~ spl65_57 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f1975,plain,
( spl65_57
<=> sK43 = cons(sK45,tl(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_57])]) ).
fof(f1612,plain,
( ! [X4] :
( frontsegP(cons(sK45,X4),sK40)
| ~ ssList(X4) )
| ~ spl65_2
| ~ spl65_3 ),
inference(subsumption_resolution,[],[f1605,f497]) ).
fof(f497,plain,
ssList(sK40),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( ssList(sK38)
& ssList(sK39)
& sK38 = sK40
& ssList(sK43)
& app(app(sK43,cons(sK42,nil)),sK44) = sK38
& ssList(sK44)
& ( memberP(sK43,sK42)
| memberP(sK44,sK42) )
& ssItem(sK42)
& ( ( nil = sK41
& nil = sK40 )
| ( cons(sK45,nil) = sK40
& ssItem(sK45)
& memberP(sK41,sK45) ) )
& ssList(sK41)
& sK41 = sK39
& ssList(sK40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45])],[f313,f321,f320,f319,f318,f317,f316,f315,f314]) ).
fof(f314,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X0 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = X3
& nil = X2 )
| ? [X7] :
( cons(X7,nil) = X2
& ssItem(X7)
& memberP(X3,X7) ) )
& ssList(X3)
& X1 = X3 )
& ssList(X2) ) ) )
=> ( ssList(sK38)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( sK38 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = X3
& nil = X2 )
| ? [X7] :
( cons(X7,nil) = X2
& ssItem(X7)
& memberP(X3,X7) ) )
& ssList(X3)
& X1 = X3 )
& ssList(X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( sK38 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = X3
& nil = X2 )
| ? [X7] :
( cons(X7,nil) = X2
& ssItem(X7)
& memberP(X3,X7) ) )
& ssList(X3)
& X1 = X3 )
& ssList(X2) ) )
=> ( ssList(sK39)
& ? [X2] :
( ? [X3] :
( sK38 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = X3
& nil = X2 )
| ? [X7] :
( cons(X7,nil) = X2
& ssItem(X7)
& memberP(X3,X7) ) )
& ssList(X3)
& sK39 = X3 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
( ? [X2] :
( ? [X3] :
( sK38 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = X3
& nil = X2 )
| ? [X7] :
( cons(X7,nil) = X2
& ssItem(X7)
& memberP(X3,X7) ) )
& ssList(X3)
& sK39 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( sK38 = sK40
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = X3
& nil = sK40 )
| ? [X7] :
( cons(X7,nil) = sK40
& ssItem(X7)
& memberP(X3,X7) ) )
& ssList(X3)
& sK39 = X3 )
& ssList(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
( ? [X3] :
( sK38 = sK40
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = X3
& nil = sK40 )
| ? [X7] :
( cons(X7,nil) = sK40
& ssItem(X7)
& memberP(X3,X7) ) )
& ssList(X3)
& sK39 = X3 )
=> ( sK38 = sK40
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = sK41
& nil = sK40 )
| ? [X7] :
( cons(X7,nil) = sK40
& ssItem(X7)
& memberP(sK41,X7) ) )
& ssList(sK41)
& sK41 = sK39 ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
=> ( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(sK42,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,sK42)
| memberP(X6,sK42) ) ) )
& ssItem(sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(sK42,nil)),X6) = sK38
& ssList(X6)
& ( memberP(X5,sK42)
| memberP(X6,sK42) ) ) )
=> ( ssList(sK43)
& ? [X6] :
( app(app(sK43,cons(sK42,nil)),X6) = sK38
& ssList(X6)
& ( memberP(sK43,sK42)
| memberP(X6,sK42) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
( ? [X6] :
( app(app(sK43,cons(sK42,nil)),X6) = sK38
& ssList(X6)
& ( memberP(sK43,sK42)
| memberP(X6,sK42) ) )
=> ( app(app(sK43,cons(sK42,nil)),sK44) = sK38
& ssList(sK44)
& ( memberP(sK43,sK42)
| memberP(sK44,sK42) ) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
( ? [X7] :
( cons(X7,nil) = sK40
& ssItem(X7)
& memberP(sK41,X7) )
=> ( cons(sK45,nil) = sK40
& ssItem(sK45)
& memberP(sK41,sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X0 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6)
& ( memberP(X5,X4)
| memberP(X6,X4) ) ) )
& ssItem(X4) )
& ( ( nil = X3
& nil = X2 )
| ? [X7] :
( cons(X7,nil) = X2
& ssItem(X7)
& memberP(X3,X7) ) )
& ssList(X3)
& X1 = X3 )
& ssList(X2) ) ) ),
inference(rectify,[],[f223]) ).
fof(f223,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X0 = X2
& ? [X5] :
( ? [X6] :
( ssList(X6)
& ? [X7] :
( app(app(X6,cons(X5,nil)),X7) = X0
& ssList(X7)
& ( memberP(X6,X5)
| memberP(X7,X5) ) ) )
& ssItem(X5) )
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( cons(X4,nil) = X2
& ssItem(X4)
& memberP(X3,X4) ) )
& ssList(X3)
& X1 = X3 )
& ssList(X2) ) ) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(X6,cons(X5,nil)),X7) = X0
& ( memberP(X6,X5)
| memberP(X7,X5) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ( nil = X3
& nil = 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)
=> ( X0 != X2
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(X6,cons(X5,nil)),X7) != X0
| ( ~ memberP(X7,X5)
& ~ memberP(X6,X5) ) ) ) ) )
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& ( nil != X3
| nil != X2 ) )
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X3
| nil != X2 )
& ! [X7] :
( ssItem(X7)
=> ( cons(X7,nil) != X2
| ~ memberP(X3,X7) ) ) )
| X0 != X2
| X1 != X3
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X3
| nil != X2 )
& ! [X7] :
( ssItem(X7)
=> ( cons(X7,nil) != X2
| ~ memberP(X3,X7) ) ) )
| X0 != X2
| X1 != X3
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1605,plain,
( ! [X4] :
( ~ ssList(sK40)
| ~ ssList(X4)
| frontsegP(cons(sK45,X4),sK40) )
| ~ spl65_2
| ~ spl65_3 ),
inference(duplicate_literal_removal,[],[f1599]) ).
fof(f1599,plain,
( ! [X4] :
( frontsegP(cons(sK45,X4),sK40)
| ~ ssList(X4)
| ~ ssList(sK40)
| ~ ssList(X4) )
| ~ spl65_2
| ~ spl65_3 ),
inference(superposition,[],[f1593,f1551]) ).
fof(f1551,plain,
( ! [X5] :
( cons(sK45,X5) = app(sK40,X5)
| ~ ssList(X5) )
| ~ spl65_2
| ~ spl65_3 ),
inference(subsumption_resolution,[],[f1541,f625]) ).
fof(f625,plain,
( ssItem(sK45)
| ~ spl65_2 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f623,plain,
( spl65_2
<=> ssItem(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_2])]) ).
fof(f1541,plain,
( ! [X5] :
( cons(sK45,X5) = app(sK40,X5)
| ~ ssItem(sK45)
| ~ ssList(X5) )
| ~ spl65_3 ),
inference(superposition,[],[f483,f688]) ).
fof(f688,plain,
( cons(sK45,nil) = sK40
| ~ spl65_3 ),
inference(forward_demodulation,[],[f608,f630]) ).
fof(f630,plain,
( sF64 = sK40
| ~ spl65_3 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f628,plain,
( spl65_3
<=> sF64 = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl65_3])]) ).
fof(f608,plain,
cons(sK45,nil) = sF64,
introduced(function_definition,[]) ).
fof(f483,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f1593,plain,
! [X3,X1] :
( frontsegP(app(X1,X3),X1)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f589,f549]) ).
fof(f549,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f589,plain,
! [X3,X1] :
( ~ ssList(X3)
| frontsegP(app(X1,X3),X1)
| ~ ssList(X1)
| ~ ssList(app(X1,X3)) ),
inference(equality_resolution,[],[f423]) ).
fof(f423,plain,
! [X3,X0,X1] :
( ~ ssList(X1)
| frontsegP(X0,X1)
| ~ ssList(X3)
| app(X1,X3) != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ( ssList(sK22(X0,X1))
& app(X1,sK22(X0,X1)) = X0 )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X3] :
( ~ ssList(X3)
| app(X1,X3) != X0 ) ) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f271,f272]) ).
fof(f272,plain,
! [X0,X1] :
( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
=> ( ssList(sK22(X0,X1))
& app(X1,sK22(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X3] :
( ~ ssList(X3)
| app(X1,X3) != X0 ) ) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
<=> frontsegP(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
<=> frontsegP(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f3848,plain,
( spl65_24
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_29
| ~ spl65_46 ),
inference(avatar_split_clause,[],[f3847,f1633,f1181,f642,f628,f623,f1153]) ).
fof(f1153,plain,
( spl65_24
<=> nil = sK44 ),
introduced(avatar_definition,[new_symbols(naming,[spl65_24])]) ).
fof(f642,plain,
( spl65_6
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_6])]) ).
fof(f1181,plain,
( spl65_29
<=> singletonP(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_29])]) ).
fof(f1633,plain,
( spl65_46
<=> sF62 = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl65_46])]) ).
fof(f3847,plain,
( nil = sK44
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_29
| ~ spl65_46 ),
inference(subsumption_resolution,[],[f3846,f625]) ).
fof(f3846,plain,
( nil = sK44
| ~ ssItem(sK45)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_29
| ~ spl65_46 ),
inference(subsumption_resolution,[],[f3845,f1183]) ).
fof(f1183,plain,
( singletonP(sK40)
| ~ spl65_29 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f3845,plain,
( ~ singletonP(sK40)
| ~ ssItem(sK45)
| nil = sK44
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_46 ),
inference(subsumption_resolution,[],[f3803,f508]) ).
fof(f508,plain,
ssList(sK44),
inference(cnf_transformation,[],[f322]) ).
fof(f3803,plain,
( ~ ssList(sK44)
| ~ singletonP(sK40)
| nil = sK44
| ~ ssItem(sK45)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_46 ),
inference(superposition,[],[f858,f3780]) ).
fof(f3780,plain,
( sK40 = cons(sK45,sK44)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_46 ),
inference(subsumption_resolution,[],[f3769,f508]) ).
fof(f3769,plain,
( sK40 = cons(sK45,sK44)
| ~ ssList(sK44)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_46 ),
inference(superposition,[],[f3694,f1551]) ).
fof(f3694,plain,
( app(sK40,sK44) = sK40
| ~ spl65_46 ),
inference(backward_demodulation,[],[f687,f1635]) ).
fof(f1635,plain,
( sF62 = sK40
| ~ spl65_46 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f687,plain,
app(sF62,sK44) = sK40,
inference(forward_demodulation,[],[f606,f607]) ).
fof(f607,plain,
sF63 = sK40,
inference(definition_folding,[],[f571,f606,f605,f604]) ).
fof(f604,plain,
cons(sK42,nil) = sF61,
introduced(function_definition,[]) ).
fof(f605,plain,
sF62 = app(sK43,sF61),
introduced(function_definition,[]) ).
fof(f571,plain,
app(app(sK43,cons(sK42,nil)),sK44) = sK40,
inference(definition_unfolding,[],[f509,f511]) ).
fof(f511,plain,
sK38 = sK40,
inference(cnf_transformation,[],[f322]) ).
fof(f509,plain,
app(app(sK43,cons(sK42,nil)),sK44) = sK38,
inference(cnf_transformation,[],[f322]) ).
fof(f606,plain,
app(sF62,sK44) = sF63,
introduced(function_definition,[]) ).
fof(f858,plain,
( ! [X2,X1] :
( ~ singletonP(cons(X1,X2))
| nil = X2
| ~ ssItem(X1)
| ~ ssList(X2) )
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f856,f419]) ).
fof(f419,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f856,plain,
( ! [X2,X1] :
( ~ ssList(cons(X1,X2))
| ~ singletonP(cons(X1,X2))
| ~ ssList(X2)
| nil = X2
| ~ ssItem(X1) )
| ~ spl65_6 ),
inference(superposition,[],[f482,f826]) ).
fof(f826,plain,
( ! [X7] :
( nil = tl(X7)
| ~ singletonP(X7)
| ~ ssList(X7) )
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f825,f490]) ).
fof(f490,plain,
! [X0] :
( ssItem(sK37(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ( ssItem(sK37(X0))
& cons(sK37(X0),nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f310,f311]) ).
fof(f311,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
=> ( ssItem(sK37(X0))
& cons(sK37(X0),nil) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f309]) ).
fof(f309,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f825,plain,
( ! [X7] :
( nil = tl(X7)
| ~ ssList(X7)
| ~ singletonP(X7)
| ~ ssItem(sK37(X7)) )
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f808,f643]) ).
fof(f643,plain,
( ssList(nil)
| ~ spl65_6 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f808,plain,
! [X7] :
( ~ ssItem(sK37(X7))
| ~ singletonP(X7)
| ~ ssList(nil)
| nil = tl(X7)
| ~ ssList(X7) ),
inference(superposition,[],[f482,f489]) ).
fof(f489,plain,
! [X0] :
( cons(sK37(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f482,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f3721,plain,
( spl65_87
| ~ spl65_6
| ~ spl65_46 ),
inference(avatar_split_clause,[],[f3696,f1633,f642,f3224]) ).
fof(f3224,plain,
( spl65_87
<=> frontsegP(sK40,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_87])]) ).
fof(f3696,plain,
( frontsegP(sK40,sK43)
| ~ spl65_6
| ~ spl65_46 ),
inference(backward_demodulation,[],[f1614,f1635]) ).
fof(f1614,plain,
( frontsegP(sF62,sK43)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1613,f510]) ).
fof(f510,plain,
ssList(sK43),
inference(cnf_transformation,[],[f322]) ).
fof(f1613,plain,
( ~ ssList(sK43)
| frontsegP(sF62,sK43)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1600,f743]) ).
fof(f743,plain,
( ssList(sF61)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f742,f506]) ).
fof(f506,plain,
ssItem(sK42),
inference(cnf_transformation,[],[f322]) ).
fof(f742,plain,
( ssList(sF61)
| ~ ssItem(sK42)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f740,f643]) ).
fof(f740,plain,
( ~ ssList(nil)
| ssList(sF61)
| ~ ssItem(sK42) ),
inference(superposition,[],[f419,f604]) ).
fof(f1600,plain,
( frontsegP(sF62,sK43)
| ~ ssList(sF61)
| ~ ssList(sK43) ),
inference(superposition,[],[f1593,f605]) ).
fof(f3690,plain,
( ~ spl65_97
| spl65_47
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_32 ),
inference(avatar_split_clause,[],[f3613,f1200,f642,f628,f623,f1637,f3630]) ).
fof(f3630,plain,
( spl65_97
<=> ssList(tl(sF62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_97])]) ).
fof(f1637,plain,
( spl65_47
<=> frontsegP(sF62,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_47])]) ).
fof(f1200,plain,
( spl65_32
<=> sK45 = hd(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_32])]) ).
fof(f3613,plain,
( frontsegP(sF62,sK40)
| ~ ssList(tl(sF62))
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_32 ),
inference(superposition,[],[f1612,f1914]) ).
fof(f1914,plain,
( sF62 = cons(sK45,tl(sF62))
| ~ spl65_6
| ~ spl65_32 ),
inference(subsumption_resolution,[],[f1913,f758]) ).
fof(f758,plain,
( ssList(sF62)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f757,f743]) ).
fof(f757,plain,
( ~ ssList(sF61)
| ssList(sF62) ),
inference(subsumption_resolution,[],[f752,f510]) ).
fof(f752,plain,
( ~ ssList(sK43)
| ~ ssList(sF61)
| ssList(sF62) ),
inference(superposition,[],[f549,f605]) ).
fof(f1913,plain,
( sF62 = cons(sK45,tl(sF62))
| ~ ssList(sF62)
| ~ spl65_6
| ~ spl65_32 ),
inference(subsumption_resolution,[],[f1906,f945]) ).
fof(f945,plain,
( nil != sF62
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f944,f764]) ).
fof(f764,plain,
( nil != sF61
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f763,f643]) ).
fof(f763,plain,
( ~ ssList(nil)
| nil != sF61 ),
inference(subsumption_resolution,[],[f761,f506]) ).
fof(f761,plain,
( nil != sF61
| ~ ssItem(sK42)
| ~ ssList(nil) ),
inference(superposition,[],[f370,f604]) ).
fof(f370,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f944,plain,
( nil != sF62
| nil = sF61
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f943,f510]) ).
fof(f943,plain,
( ~ ssList(sK43)
| nil = sF61
| nil != sF62
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f940,f743]) ).
fof(f940,plain,
( ~ ssList(sF61)
| ~ ssList(sK43)
| nil != sF62
| nil = sF61 ),
inference(superposition,[],[f421,f605]) ).
fof(f421,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f268]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f1906,plain,
( nil = sF62
| sF62 = cons(sK45,tl(sF62))
| ~ ssList(sF62)
| ~ spl65_6
| ~ spl65_32 ),
inference(superposition,[],[f385,f1873]) ).
fof(f1873,plain,
( sK45 = hd(sF62)
| ~ spl65_6
| ~ spl65_32 ),
inference(forward_demodulation,[],[f1872,f1202]) ).
fof(f1202,plain,
( sK45 = hd(sK40)
| ~ spl65_32 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1872,plain,
( hd(sF62) = hd(sK40)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1871,f758]) ).
fof(f1871,plain,
( ~ ssList(sF62)
| hd(sF62) = hd(sK40)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1870,f508]) ).
fof(f1870,plain,
( ~ ssList(sK44)
| hd(sF62) = hd(sK40)
| ~ ssList(sF62)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1836,f945]) ).
fof(f1836,plain,
( nil = sF62
| ~ ssList(sK44)
| ~ ssList(sF62)
| hd(sF62) = hd(sK40) ),
inference(superposition,[],[f449,f687]) ).
fof(f449,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| ~ ssList(X1)
| nil = X0 )
| ~ ssList(X0) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f385,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f3689,plain,
( ~ spl65_6
| spl65_91
| spl65_97 ),
inference(avatar_contradiction_clause,[],[f3688]) ).
fof(f3688,plain,
( $false
| ~ spl65_6
| spl65_91
| spl65_97 ),
inference(subsumption_resolution,[],[f3687,f3330]) ).
fof(f3330,plain,
( nil != sF62
| spl65_91 ),
inference(avatar_component_clause,[],[f3329]) ).
fof(f3329,plain,
( spl65_91
<=> nil = sF62 ),
introduced(avatar_definition,[new_symbols(naming,[spl65_91])]) ).
fof(f3687,plain,
( nil = sF62
| ~ spl65_6
| spl65_97 ),
inference(subsumption_resolution,[],[f3685,f758]) ).
fof(f3685,plain,
( ~ ssList(sF62)
| nil = sF62
| spl65_97 ),
inference(resolution,[],[f3632,f415]) ).
fof(f415,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ssList(tl(X0)) ),
inference(flattening,[],[f128]) ).
fof(f128,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/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f3632,plain,
( ~ ssList(tl(sF62))
| spl65_97 ),
inference(avatar_component_clause,[],[f3630]) ).
fof(f3480,plain,
( spl65_57
| ~ spl65_6
| ~ spl65_32
| ~ spl65_52
| spl65_53
| ~ spl65_88 ),
inference(avatar_split_clause,[],[f3479,f3229,f1864,f1860,f1200,f642,f1975]) ).
fof(f1860,plain,
( spl65_52
<=> hd(sF62) = hd(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_52])]) ).
fof(f1864,plain,
( spl65_53
<=> nil = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl65_53])]) ).
fof(f3229,plain,
( spl65_88
<=> ssList(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_88])]) ).
fof(f3479,plain,
( sK43 = cons(sK45,tl(sK43))
| ~ spl65_6
| ~ spl65_32
| ~ spl65_52
| spl65_53
| ~ spl65_88 ),
inference(subsumption_resolution,[],[f3478,f3230]) ).
fof(f3230,plain,
( ssList(sK43)
| ~ spl65_88 ),
inference(avatar_component_clause,[],[f3229]) ).
fof(f3478,plain,
( ~ ssList(sK43)
| sK43 = cons(sK45,tl(sK43))
| ~ spl65_6
| ~ spl65_32
| ~ spl65_52
| spl65_53 ),
inference(subsumption_resolution,[],[f3468,f1865]) ).
fof(f1865,plain,
( nil != sK43
| spl65_53 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f3468,plain,
( sK43 = cons(sK45,tl(sK43))
| nil = sK43
| ~ ssList(sK43)
| ~ spl65_6
| ~ spl65_32
| ~ spl65_52 ),
inference(superposition,[],[f385,f1959]) ).
fof(f1959,plain,
( sK45 = hd(sK43)
| ~ spl65_6
| ~ spl65_32
| ~ spl65_52 ),
inference(forward_demodulation,[],[f1862,f1873]) ).
fof(f1862,plain,
( hd(sF62) = hd(sK43)
| ~ spl65_52 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f3422,plain,
( ~ spl65_87
| spl65_60
| ~ spl65_65
| ~ spl65_88 ),
inference(avatar_split_clause,[],[f3421,f3229,f2335,f1994,f3224]) ).
fof(f1994,plain,
( spl65_60
<=> sK43 = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl65_60])]) ).
fof(f3421,plain,
( sK43 = sK40
| ~ frontsegP(sK40,sK43)
| ~ spl65_65
| ~ spl65_88 ),
inference(subsumption_resolution,[],[f3420,f3230]) ).
fof(f3420,plain,
( ~ frontsegP(sK40,sK43)
| ~ ssList(sK43)
| sK43 = sK40
| ~ spl65_65 ),
inference(subsumption_resolution,[],[f3419,f497]) ).
fof(f3419,plain,
( ~ ssList(sK40)
| ~ ssList(sK43)
| sK43 = sK40
| ~ frontsegP(sK40,sK43)
| ~ spl65_65 ),
inference(resolution,[],[f2336,f465]) ).
fof(f465,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1) ) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f2336,plain,
( frontsegP(sK43,sK40)
| ~ spl65_65 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f3389,plain,
( ~ spl65_47
| spl65_46
| ~ spl65_6 ),
inference(avatar_split_clause,[],[f3388,f642,f1633,f1637]) ).
fof(f3388,plain,
( sF62 = sK40
| ~ frontsegP(sF62,sK40)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f3387,f497]) ).
fof(f3387,plain,
( sF62 = sK40
| ~ frontsegP(sF62,sK40)
| ~ ssList(sK40)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f3386,f758]) ).
fof(f3386,plain,
( sF62 = sK40
| ~ ssList(sF62)
| ~ frontsegP(sF62,sK40)
| ~ ssList(sK40)
| ~ spl65_6 ),
inference(resolution,[],[f1616,f465]) ).
fof(f1616,plain,
( frontsegP(sK40,sF62)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1615,f508]) ).
fof(f1615,plain,
( ~ ssList(sK44)
| frontsegP(sK40,sF62)
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1602,f758]) ).
fof(f1602,plain,
( ~ ssList(sF62)
| ~ ssList(sK44)
| frontsegP(sK40,sF62) ),
inference(superposition,[],[f1593,f687]) ).
fof(f3379,plain,
( spl65_52
| ~ spl65_6
| spl65_53
| ~ spl65_88 ),
inference(avatar_split_clause,[],[f3378,f3229,f1864,f642,f1860]) ).
fof(f3378,plain,
( hd(sF62) = hd(sK43)
| ~ spl65_6
| spl65_53
| ~ spl65_88 ),
inference(subsumption_resolution,[],[f3377,f3230]) ).
fof(f3377,plain,
( hd(sF62) = hd(sK43)
| ~ ssList(sK43)
| ~ spl65_6
| spl65_53 ),
inference(subsumption_resolution,[],[f3376,f743]) ).
fof(f3376,plain,
( ~ ssList(sF61)
| hd(sF62) = hd(sK43)
| ~ ssList(sK43)
| spl65_53 ),
inference(subsumption_resolution,[],[f3351,f1865]) ).
fof(f3351,plain,
( nil = sK43
| ~ ssList(sF61)
| hd(sF62) = hd(sK43)
| ~ ssList(sK43) ),
inference(superposition,[],[f449,f605]) ).
fof(f3371,plain,
( ~ spl65_91
| ~ spl65_6
| ~ spl65_88 ),
inference(avatar_split_clause,[],[f3370,f3229,f642,f3329]) ).
fof(f3370,plain,
( nil != sF62
| ~ spl65_6
| ~ spl65_88 ),
inference(subsumption_resolution,[],[f3369,f743]) ).
fof(f3369,plain,
( ~ ssList(sF61)
| nil != sF62
| ~ spl65_6
| ~ spl65_88 ),
inference(subsumption_resolution,[],[f3368,f764]) ).
fof(f3368,plain,
( nil = sF61
| nil != sF62
| ~ ssList(sF61)
| ~ spl65_88 ),
inference(subsumption_resolution,[],[f3349,f3230]) ).
fof(f3349,plain,
( ~ ssList(sK43)
| ~ ssList(sF61)
| nil != sF62
| nil = sF61 ),
inference(superposition,[],[f421,f605]) ).
fof(f3238,plain,
spl65_88,
inference(avatar_split_clause,[],[f510,f3229]) ).
fof(f3211,plain,
( ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_22
| ~ spl65_46
| ~ spl65_60 ),
inference(avatar_contradiction_clause,[],[f3210]) ).
fof(f3210,plain,
( $false
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_22
| ~ spl65_46
| ~ spl65_60 ),
inference(subsumption_resolution,[],[f3209,f764]) ).
fof(f3209,plain,
( nil = sF61
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_22
| ~ spl65_46
| ~ spl65_60 ),
inference(forward_demodulation,[],[f3208,f1138]) ).
fof(f1138,plain,
( nil = tl(sK40)
| ~ spl65_22 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1136,plain,
( spl65_22
<=> nil = tl(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_22])]) ).
fof(f3208,plain,
( tl(sK40) = sF61
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_46
| ~ spl65_60 ),
inference(subsumption_resolution,[],[f3207,f743]) ).
fof(f3207,plain,
( tl(sK40) = sF61
| ~ ssList(sF61)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_46
| ~ spl65_60 ),
inference(subsumption_resolution,[],[f3191,f625]) ).
fof(f3191,plain,
( tl(sK40) = sF61
| ~ ssItem(sK45)
| ~ ssList(sF61)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_46
| ~ spl65_60 ),
inference(superposition,[],[f482,f3172]) ).
fof(f3172,plain,
( cons(sK45,sF61) = sK40
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6
| ~ spl65_46
| ~ spl65_60 ),
inference(subsumption_resolution,[],[f3141,f743]) ).
fof(f3141,plain,
( cons(sK45,sF61) = sK40
| ~ ssList(sF61)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_46
| ~ spl65_60 ),
inference(superposition,[],[f1551,f2884]) ).
fof(f2884,plain,
( app(sK40,sF61) = sK40
| ~ spl65_46
| ~ spl65_60 ),
inference(forward_demodulation,[],[f2883,f1635]) ).
fof(f2883,plain,
( sF62 = app(sK40,sF61)
| ~ spl65_60 ),
inference(forward_demodulation,[],[f605,f1996]) ).
fof(f1996,plain,
( sK43 = sK40
| ~ spl65_60 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f2927,plain,
( spl65_32
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6 ),
inference(avatar_split_clause,[],[f2926,f642,f628,f623,f1200]) ).
fof(f2926,plain,
( sK45 = hd(sK40)
| ~ spl65_2
| ~ spl65_3
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f2925,f625]) ).
fof(f2925,plain,
( ~ ssItem(sK45)
| sK45 = hd(sK40)
| ~ spl65_3
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f2922,f643]) ).
fof(f2922,plain,
( ~ ssList(nil)
| sK45 = hd(sK40)
| ~ ssItem(sK45)
| ~ spl65_3 ),
inference(superposition,[],[f564,f688]) ).
fof(f564,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f2460,plain,
( spl65_53
| spl65_67 ),
inference(avatar_contradiction_clause,[],[f2459]) ).
fof(f2459,plain,
( $false
| spl65_53
| spl65_67 ),
inference(subsumption_resolution,[],[f2458,f1865]) ).
fof(f2458,plain,
( nil = sK43
| spl65_67 ),
inference(subsumption_resolution,[],[f2456,f510]) ).
fof(f2456,plain,
( ~ ssList(sK43)
| nil = sK43
| spl65_67 ),
inference(resolution,[],[f2419,f415]) ).
fof(f2419,plain,
( ~ ssList(tl(sK43))
| spl65_67 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f2321,plain,
( spl65_4
| ~ spl65_5
| ~ spl65_24
| ~ spl65_53 ),
inference(avatar_contradiction_clause,[],[f2320]) ).
fof(f2320,plain,
( $false
| spl65_4
| ~ spl65_5
| ~ spl65_24
| ~ spl65_53 ),
inference(subsumption_resolution,[],[f2319,f2318]) ).
fof(f2318,plain,
( ~ memberP(nil,sK42)
| spl65_4
| ~ spl65_24 ),
inference(forward_demodulation,[],[f634,f1155]) ).
fof(f1155,plain,
( nil = sK44
| ~ spl65_24 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f634,plain,
( ~ memberP(sK44,sK42)
| spl65_4 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl65_4
<=> memberP(sK44,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_4])]) ).
fof(f2319,plain,
( memberP(nil,sK42)
| ~ spl65_5
| ~ spl65_53 ),
inference(forward_demodulation,[],[f639,f1866]) ).
fof(f1866,plain,
( nil = sK43
| ~ spl65_53 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f639,plain,
( memberP(sK43,sK42)
| ~ spl65_5 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl65_5
<=> memberP(sK43,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl65_5])]) ).
fof(f2317,plain,
( ~ spl65_4
| ~ spl65_24 ),
inference(avatar_contradiction_clause,[],[f2316]) ).
fof(f2316,plain,
( $false
| ~ spl65_4
| ~ spl65_24 ),
inference(subsumption_resolution,[],[f2315,f506]) ).
fof(f2315,plain,
( ~ ssItem(sK42)
| ~ spl65_4
| ~ spl65_24 ),
inference(resolution,[],[f2308,f429]) ).
fof(f429,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f2308,plain,
( memberP(nil,sK42)
| ~ spl65_4
| ~ spl65_24 ),
inference(backward_demodulation,[],[f635,f1155]) ).
fof(f635,plain,
( memberP(sK44,sK42)
| ~ spl65_4 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f1184,plain,
( ~ spl65_2
| spl65_29
| ~ spl65_3 ),
inference(avatar_split_clause,[],[f1179,f628,f1181,f623]) ).
fof(f1179,plain,
( singletonP(sK40)
| ~ ssItem(sK45)
| ~ spl65_3 ),
inference(subsumption_resolution,[],[f844,f497]) ).
fof(f844,plain,
( singletonP(sK40)
| ~ ssList(sK40)
| ~ ssItem(sK45)
| ~ spl65_3 ),
inference(superposition,[],[f597,f688]) ).
fof(f597,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f491]) ).
fof(f491,plain,
! [X0,X1] :
( singletonP(X0)
| ~ ssItem(X1)
| cons(X1,nil) != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f1143,plain,
( ~ spl65_10
| ~ spl65_6 ),
inference(avatar_split_clause,[],[f1142,f642,f661]) ).
fof(f661,plain,
( spl65_10
<=> nil = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl65_10])]) ).
fof(f1142,plain,
( nil != sK40
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1141,f945]) ).
fof(f1141,plain,
( nil = sF62
| nil != sK40
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f1140,f758]) ).
fof(f1140,plain,
( ~ ssList(sF62)
| nil != sK40
| nil = sF62 ),
inference(subsumption_resolution,[],[f954,f508]) ).
fof(f954,plain,
( ~ ssList(sK44)
| nil = sF62
| nil != sK40
| ~ ssList(sF62) ),
inference(superposition,[],[f422,f687]) ).
fof(f422,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f269]) ).
fof(f1139,plain,
( ~ spl65_2
| spl65_22
| ~ spl65_3
| ~ spl65_6 ),
inference(avatar_split_clause,[],[f795,f642,f628,f1136,f623]) ).
fof(f795,plain,
( nil = tl(sK40)
| ~ ssItem(sK45)
| ~ spl65_3
| ~ spl65_6 ),
inference(subsumption_resolution,[],[f793,f643]) ).
fof(f793,plain,
( ~ ssList(nil)
| ~ ssItem(sK45)
| nil = tl(sK40)
| ~ spl65_3 ),
inference(superposition,[],[f482,f688]) ).
fof(f686,plain,
spl65_6,
inference(avatar_split_clause,[],[f469,f642]) ).
fof(f469,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f675,plain,
( spl65_3
| spl65_10 ),
inference(avatar_split_clause,[],[f610,f661,f628]) ).
fof(f610,plain,
( nil = sK40
| sF64 = sK40 ),
inference(definition_folding,[],[f502,f608]) ).
fof(f502,plain,
( nil = sK40
| cons(sK45,nil) = sK40 ),
inference(cnf_transformation,[],[f322]) ).
fof(f664,plain,
( spl65_10
| spl65_2 ),
inference(avatar_split_clause,[],[f501,f623,f661]) ).
fof(f501,plain,
( ssItem(sK45)
| nil = sK40 ),
inference(cnf_transformation,[],[f322]) ).
fof(f640,plain,
( spl65_4
| spl65_5 ),
inference(avatar_split_clause,[],[f507,f637,f633]) ).
fof(f507,plain,
( memberP(sK43,sK42)
| memberP(sK44,sK42) ),
inference(cnf_transformation,[],[f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC187+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.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 : Tue Aug 30 18:55:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (13707)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53 % (13707)Refutation not found, incomplete strategy% (13707)------------------------------
% 0.19/0.53 % (13707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (13707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (13707)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (13707)Memory used [KB]: 6140
% 0.19/0.53 % (13707)Time elapsed: 0.127 s
% 0.19/0.53 % (13707)Instructions burned: 6 (million)
% 0.19/0.53 % (13707)------------------------------
% 0.19/0.53 % (13707)------------------------------
% 0.19/0.54 % (13699)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (13699)Instruction limit reached!
% 0.19/0.55 % (13699)------------------------------
% 0.19/0.55 % (13699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (13699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (13699)Termination reason: Unknown
% 0.19/0.55 % (13699)Termination phase: Naming
% 0.19/0.55
% 0.19/0.55 % (13699)Memory used [KB]: 1535
% 0.19/0.55 % (13699)Time elapsed: 0.006 s
% 0.19/0.55 % (13699)Instructions burned: 3 (million)
% 0.19/0.55 % (13699)------------------------------
% 0.19/0.55 % (13699)------------------------------
% 0.19/0.55 % (13698)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.55 % (13697)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.55 % (13723)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.57 % (13714)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.57 % (13705)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.54/0.57 % (13715)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.57 % (13715)Instruction limit reached!
% 1.54/0.57 % (13715)------------------------------
% 1.54/0.57 % (13715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (13715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (13715)Termination reason: Unknown
% 1.54/0.57 % (13715)Termination phase: SInE selection
% 1.54/0.57
% 1.54/0.57 % (13715)Memory used [KB]: 1407
% 1.54/0.57 % (13715)Time elapsed: 0.005 s
% 1.54/0.57 % (13715)Instructions burned: 2 (million)
% 1.54/0.57 % (13715)------------------------------
% 1.54/0.57 % (13715)------------------------------
% 1.54/0.57 % (13714)Instruction limit reached!
% 1.54/0.57 % (13714)------------------------------
% 1.54/0.57 % (13714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (13706)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.54/0.58 % (13714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (13714)Termination reason: Unknown
% 1.54/0.58 % (13714)Termination phase: Naming
% 1.54/0.58
% 1.54/0.58 % (13714)Memory used [KB]: 1535
% 1.54/0.58 % (13714)Time elapsed: 0.005 s
% 1.54/0.58 % (13714)Instructions burned: 3 (million)
% 1.54/0.58 % (13714)------------------------------
% 1.54/0.58 % (13714)------------------------------
% 1.54/0.58 % (13698)Instruction limit reached!
% 1.54/0.58 % (13698)------------------------------
% 1.54/0.58 % (13698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (13698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (13698)Termination reason: Unknown
% 1.54/0.58 % (13698)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (13698)Memory used [KB]: 6396
% 1.54/0.58 % (13698)Time elapsed: 0.153 s
% 1.54/0.58 % (13698)Instructions burned: 14 (million)
% 1.54/0.58 % (13698)------------------------------
% 1.54/0.58 % (13698)------------------------------
% 1.84/0.59 % (13713)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.84/0.59 % (13720)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.84/0.59 % (13702)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.84/0.59 % (13709)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.84/0.59 % (13703)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.84/0.59 % (13704)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.84/0.60 % (13712)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.84/0.60 % (13712)Instruction limit reached!
% 1.84/0.60 % (13712)------------------------------
% 1.84/0.60 % (13712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (13712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (13712)Termination reason: Unknown
% 1.84/0.60 % (13712)Termination phase: Property scanning
% 1.84/0.60
% 1.84/0.60 % (13712)Memory used [KB]: 1791
% 1.84/0.60 % (13712)Time elapsed: 0.007 s
% 1.84/0.60 % (13712)Instructions burned: 7 (million)
% 1.84/0.60 % (13712)------------------------------
% 1.84/0.60 % (13712)------------------------------
% 1.84/0.60 % (13700)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.61 % (13722)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.84/0.61 % (13708)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.84/0.61 % (13718)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.84/0.61 % (13701)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.84/0.61 % (13708)Instruction limit reached!
% 1.84/0.61 % (13708)------------------------------
% 1.84/0.61 % (13708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (13708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (13708)Termination reason: Unknown
% 1.84/0.61 % (13708)Termination phase: Saturation
% 1.84/0.61
% 1.84/0.61 % (13708)Memory used [KB]: 6140
% 1.84/0.61 % (13708)Time elapsed: 0.190 s
% 1.84/0.61 % (13708)Instructions burned: 7 (million)
% 1.84/0.61 % (13708)------------------------------
% 1.84/0.61 % (13708)------------------------------
% 1.84/0.61 % (13719)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.84/0.62 % (13726)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.84/0.62 % (13709)Instruction limit reached!
% 1.84/0.62 % (13709)------------------------------
% 1.84/0.62 % (13709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62 % (13709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62 % (13709)Termination reason: Unknown
% 1.84/0.62 % (13709)Termination phase: Saturation
% 1.84/0.62
% 1.84/0.62 % (13709)Memory used [KB]: 2046
% 1.84/0.62 % (13709)Time elapsed: 0.196 s
% 1.84/0.62 % (13709)Instructions burned: 17 (million)
% 1.84/0.62 % (13709)------------------------------
% 1.84/0.62 % (13709)------------------------------
% 1.84/0.62 % (13725)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.84/0.63 % (13702)Instruction limit reached!
% 1.84/0.63 % (13702)------------------------------
% 1.84/0.63 % (13702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63 % (13702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63 % (13702)Termination reason: Unknown
% 1.84/0.63 % (13702)Termination phase: Saturation
% 1.84/0.63
% 1.84/0.63 % (13702)Memory used [KB]: 1663
% 1.84/0.63 % (13702)Time elapsed: 0.209 s
% 1.84/0.63 % (13702)Instructions burned: 15 (million)
% 1.84/0.63 % (13702)------------------------------
% 1.84/0.63 % (13702)------------------------------
% 1.84/0.63 % (13724)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.84/0.63 % (13717)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.84/0.63 % (13711)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.84/0.63 % (13706)Instruction limit reached!
% 1.84/0.63 % (13706)------------------------------
% 1.84/0.63 % (13706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63 % (13706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63 % (13706)Termination reason: Unknown
% 1.84/0.63 % (13706)Termination phase: Saturation
% 1.84/0.63
% 1.84/0.63 % (13706)Memory used [KB]: 6652
% 1.84/0.63 % (13706)Time elapsed: 0.189 s
% 1.84/0.63 % (13706)Instructions burned: 34 (million)
% 1.84/0.63 % (13706)------------------------------
% 1.84/0.63 % (13706)------------------------------
% 1.84/0.63 % (13710)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.63 % (13711)Instruction limit reached!
% 1.84/0.63 % (13711)------------------------------
% 1.84/0.63 % (13711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63 % (13711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63 % (13711)Termination reason: Unknown
% 1.84/0.63 % (13711)Termination phase: Preprocessing 3
% 1.84/0.63
% 1.84/0.63 % (13711)Memory used [KB]: 1535
% 1.84/0.63 % (13711)Time elapsed: 0.005 s
% 1.84/0.63 % (13711)Instructions burned: 3 (million)
% 1.84/0.63 % (13711)------------------------------
% 1.84/0.63 % (13711)------------------------------
% 1.84/0.63 % (13701)Instruction limit reached!
% 1.84/0.63 % (13701)------------------------------
% 1.84/0.63 % (13701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64 % (13725)Instruction limit reached!
% 1.84/0.64 % (13725)------------------------------
% 1.84/0.64 % (13725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64 % (13721)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.84/0.64 % (13725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64 % (13725)Termination reason: Unknown
% 1.84/0.64 % (13725)Termination phase: Equality resolution with deletion
% 1.84/0.64
% 1.84/0.64 % (13725)Memory used [KB]: 1791
% 1.84/0.64 % (13725)Time elapsed: 0.008 s
% 1.84/0.64 % (13725)Instructions burned: 8 (million)
% 1.84/0.64 % (13725)------------------------------
% 1.84/0.64 % (13725)------------------------------
% 1.84/0.64 % (13701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64 % (13701)Termination reason: Unknown
% 1.84/0.64 % (13701)Termination phase: Saturation
% 1.84/0.64
% 1.84/0.64 % (13701)Memory used [KB]: 6268
% 1.84/0.64 % (13701)Time elapsed: 0.198 s
% 1.84/0.64 % (13701)Instructions burned: 13 (million)
% 1.84/0.64 % (13701)------------------------------
% 1.84/0.64 % (13701)------------------------------
% 2.26/0.65 % (13716)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.26/0.65 % (13716)Refutation not found, incomplete strategy% (13716)------------------------------
% 2.26/0.65 % (13716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.65 % (13716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.65 % (13716)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.65
% 2.26/0.65 % (13716)Memory used [KB]: 6140
% 2.26/0.65 % (13716)Time elapsed: 0.230 s
% 2.26/0.65 % (13716)Instructions burned: 5 (million)
% 2.26/0.65 % (13716)------------------------------
% 2.26/0.65 % (13716)------------------------------
% 2.29/0.67 % (13726)Instruction limit reached!
% 2.29/0.67 % (13726)------------------------------
% 2.29/0.67 % (13726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.67 % (13726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.67 % (13726)Termination reason: Unknown
% 2.29/0.67 % (13726)Termination phase: Saturation
% 2.29/0.67
% 2.29/0.67 % (13726)Memory used [KB]: 6524
% 2.29/0.67 % (13726)Time elapsed: 0.236 s
% 2.29/0.67 % (13726)Instructions burned: 24 (million)
% 2.29/0.67 % (13726)------------------------------
% 2.29/0.67 % (13726)------------------------------
% 2.29/0.68 % (13705)Instruction limit reached!
% 2.29/0.68 % (13705)------------------------------
% 2.29/0.68 % (13705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.69 % (13705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.69 % (13705)Termination reason: Unknown
% 2.29/0.69 % (13705)Termination phase: Saturation
% 2.29/0.69
% 2.29/0.69 % (13705)Memory used [KB]: 6780
% 2.29/0.69 % (13705)Time elapsed: 0.240 s
% 2.29/0.69 % (13705)Instructions burned: 49 (million)
% 2.29/0.69 % (13705)------------------------------
% 2.29/0.69 % (13705)------------------------------
% 2.29/0.69 % (13713)Instruction limit reached!
% 2.29/0.69 % (13713)------------------------------
% 2.29/0.69 % (13713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.69 % (13713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.69 % (13713)Termination reason: Unknown
% 2.29/0.69 % (13713)Termination phase: Saturation
% 2.29/0.69
% 2.29/0.69 % (13713)Memory used [KB]: 7036
% 2.29/0.69 % (13713)Time elapsed: 0.248 s
% 2.29/0.69 % (13713)Instructions burned: 50 (million)
% 2.29/0.69 % (13713)------------------------------
% 2.29/0.69 % (13713)------------------------------
% 2.29/0.70 % (13717)Instruction limit reached!
% 2.29/0.70 % (13717)------------------------------
% 2.29/0.70 % (13717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.70 % (13717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.70 % (13717)Termination reason: Unknown
% 2.29/0.70 % (13717)Termination phase: Saturation
% 2.29/0.70
% 2.29/0.70 % (13717)Memory used [KB]: 6652
% 2.29/0.70 % (13717)Time elapsed: 0.274 s
% 2.29/0.70 % (13717)Instructions burned: 30 (million)
% 2.29/0.70 % (13717)------------------------------
% 2.29/0.70 % (13717)------------------------------
% 2.29/0.70 % (13724)Instruction limit reached!
% 2.29/0.70 % (13724)------------------------------
% 2.29/0.70 % (13724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.70 % (13724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.70 % (13724)Termination reason: Unknown
% 2.29/0.70 % (13724)Termination phase: Saturation
% 2.29/0.70
% 2.29/0.70 % (13724)Memory used [KB]: 6780
% 2.29/0.70 % (13724)Time elapsed: 0.259 s
% 2.29/0.70 % (13724)Instructions burned: 25 (million)
% 2.29/0.70 % (13724)------------------------------
% 2.29/0.70 % (13724)------------------------------
% 2.54/0.72 % (13704)Instruction limit reached!
% 2.54/0.72 % (13704)------------------------------
% 2.54/0.72 % (13704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.72 % (13704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.72 % (13704)Termination reason: Unknown
% 2.54/0.72 % (13704)Termination phase: Saturation
% 2.54/0.72
% 2.54/0.72 % (13704)Memory used [KB]: 6524
% 2.54/0.72 % (13704)Time elapsed: 0.259 s
% 2.54/0.72 % (13704)Instructions burned: 40 (million)
% 2.54/0.72 % (13704)------------------------------
% 2.54/0.72 % (13704)------------------------------
% 2.54/0.73 % (13700)Instruction limit reached!
% 2.54/0.73 % (13700)------------------------------
% 2.54/0.73 % (13700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.73 % (13700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.73 % (13700)Termination reason: Unknown
% 2.54/0.73 % (13700)Termination phase: Saturation
% 2.54/0.73
% 2.54/0.73 % (13700)Memory used [KB]: 7036
% 2.54/0.73 % (13700)Time elapsed: 0.278 s
% 2.54/0.73 % (13700)Instructions burned: 51 (million)
% 2.54/0.73 % (13700)------------------------------
% 2.54/0.73 % (13700)------------------------------
% 2.54/0.73 % (13720)Instruction limit reached!
% 2.54/0.73 % (13720)------------------------------
% 2.54/0.73 % (13720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.73 % (13720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.73 % (13720)Termination reason: Unknown
% 2.54/0.73 % (13720)Termination phase: Saturation
% 2.54/0.73
% 2.54/0.73 % (13720)Memory used [KB]: 2046
% 2.54/0.73 % (13720)Time elapsed: 0.275 s
% 2.54/0.73 % (13720)Instructions burned: 45 (million)
% 2.54/0.73 % (13720)------------------------------
% 2.54/0.73 % (13720)------------------------------
% 2.54/0.74 % (13703)Instruction limit reached!
% 2.54/0.74 % (13703)------------------------------
% 2.54/0.74 % (13703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.74 % (13703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.74 % (13703)Termination reason: Unknown
% 2.54/0.74 % (13703)Termination phase: Saturation
% 2.54/0.74
% 2.54/0.74 % (13703)Memory used [KB]: 6652
% 2.54/0.74 % (13703)Time elapsed: 0.316 s
% 2.54/0.74 % (13703)Instructions burned: 40 (million)
% 2.54/0.74 % (13703)------------------------------
% 2.54/0.74 % (13703)------------------------------
% 2.67/0.75 % (13710)Instruction limit reached!
% 2.67/0.75 % (13710)------------------------------
% 2.67/0.75 % (13710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.75 % (13710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.75 % (13710)Termination reason: Unknown
% 2.67/0.75 % (13710)Termination phase: Saturation
% 2.67/0.75
% 2.67/0.75 % (13710)Memory used [KB]: 7291
% 2.67/0.75 % (13710)Time elapsed: 0.311 s
% 2.67/0.75 % (13710)Instructions burned: 51 (million)
% 2.67/0.75 % (13710)------------------------------
% 2.67/0.75 % (13710)------------------------------
% 2.67/0.78 % (13760)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.67/0.78 % (13697)First to succeed.
% 2.67/0.79 % (13763)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.67/0.79 % (13721)Instruction limit reached!
% 2.67/0.79 % (13721)------------------------------
% 2.67/0.79 % (13721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.79 % (13721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.79 % (13721)Termination reason: Unknown
% 2.67/0.79 % (13721)Termination phase: Saturation
% 2.67/0.79
% 2.67/0.79 % (13721)Memory used [KB]: 6780
% 2.67/0.79 % (13721)Time elapsed: 0.367 s
% 2.67/0.79 % (13721)Instructions burned: 50 (million)
% 2.67/0.79 % (13721)------------------------------
% 2.67/0.79 % (13721)------------------------------
% 2.67/0.79 % (13762)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.67/0.80 % (13697)Refutation found. Thanks to Tanya!
% 2.67/0.80 % SZS status Theorem for theBenchmark
% 2.67/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/0.80 % (13697)------------------------------
% 2.67/0.80 % (13697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.80 % (13697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.80 % (13697)Termination reason: Refutation
% 2.67/0.80
% 2.67/0.80 % (13697)Memory used [KB]: 7675
% 2.67/0.80 % (13697)Time elapsed: 0.360 s
% 2.67/0.80 % (13697)Instructions burned: 114 (million)
% 2.67/0.80 % (13697)------------------------------
% 2.67/0.80 % (13697)------------------------------
% 2.67/0.80 % (13696)Success in time 0.437 s
%------------------------------------------------------------------------------