TSTP Solution File: SWC396+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC396+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 : n024.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 18:40:56 EDT 2022
% Result : Theorem 3.02s 0.84s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 26
% Syntax : Number of formulae : 166 ( 13 unt; 0 def)
% Number of atoms : 953 ( 226 equ)
% Maximal formula atoms : 48 ( 5 avg)
% Number of connectives : 1320 ( 533 ~; 577 |; 154 &)
% ( 13 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 219 ( 172 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1982,plain,
$false,
inference(avatar_sat_refutation,[],[f263,f272,f294,f300,f317,f328,f334,f338,f342,f348,f1981]) ).
fof(f1981,plain,
( spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(avatar_contradiction_clause,[],[f1980]) ).
fof(f1980,plain,
( $false
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1979,f196]) ).
fof(f196,plain,
~ memberP(sK3,sK6),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ssList(sK2)
& ( ( neq(sK4,nil)
& ! [X4] :
( sK5 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(sK4) != X5
| ~ neq(nil,sK4)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(sK5,nil) )
& sK2 = sK4
& ssList(sK5)
& ssItem(sK6)
& ~ memberP(sK3,sK6)
& memberP(sK2,sK6)
& sK5 = sK3
& ( nil = sK4
| nil != sK5 )
& ssList(sK4)
& ssList(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f116,f153,f152,f151,f150,f149]) ).
fof(f149,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X2,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(X2) != X5
| ~ neq(nil,X2)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& X0 = X2
& ssList(X3)
& ? [X8] :
( ssItem(X8)
& ~ memberP(X1,X8)
& memberP(X0,X8) )
& X1 = X3
& ( nil = X2
| nil != X3 ) )
& ssList(X2) )
& ssList(X1) ) )
=> ( ssList(sK2)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X2,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(X2) != X5
| ~ neq(nil,X2)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& sK2 = X2
& ssList(X3)
& ? [X8] :
( ssItem(X8)
& ~ memberP(X1,X8)
& memberP(sK2,X8) )
& X1 = X3
& ( nil = X2
| nil != X3 ) )
& ssList(X2) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X2,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(X2) != X5
| ~ neq(nil,X2)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& sK2 = X2
& ssList(X3)
& ? [X8] :
( ssItem(X8)
& ~ memberP(X1,X8)
& memberP(sK2,X8) )
& X1 = X3
& ( nil = X2
| nil != X3 ) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( neq(X2,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(X2) != X5
| ~ neq(nil,X2)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& sK2 = X2
& ssList(X3)
& ? [X8] :
( ssItem(X8)
& ~ memberP(sK3,X8)
& memberP(sK2,X8) )
& sK3 = X3
& ( nil = X2
| nil != X3 ) )
& ssList(X2) )
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X2] :
( ? [X3] :
( ( ( neq(X2,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(X2) != X5
| ~ neq(nil,X2)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& sK2 = X2
& ssList(X3)
& ? [X8] :
( ssItem(X8)
& ~ memberP(sK3,X8)
& memberP(sK2,X8) )
& sK3 = X3
& ( nil = X2
| nil != X3 ) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( neq(sK4,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(sK4) != X5
| ~ neq(nil,sK4)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& sK2 = sK4
& ssList(X3)
& ? [X8] :
( ssItem(X8)
& ~ memberP(sK3,X8)
& memberP(sK2,X8) )
& sK3 = X3
& ( nil = sK4
| nil != X3 ) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X3] :
( ( ( neq(sK4,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(sK4) != X5
| ~ neq(nil,sK4)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& sK2 = sK4
& ssList(X3)
& ? [X8] :
( ssItem(X8)
& ~ memberP(sK3,X8)
& memberP(sK2,X8) )
& sK3 = X3
& ( nil = sK4
| nil != X3 ) )
=> ( ( ( neq(sK4,nil)
& ! [X4] :
( sK5 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(sK4) != X5
| ~ neq(nil,sK4)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(sK5,nil) )
& sK2 = sK4
& ssList(sK5)
& ? [X8] :
( ssItem(X8)
& ~ memberP(sK3,X8)
& memberP(sK2,X8) )
& sK5 = sK3
& ( nil = sK4
| nil != sK5 ) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X8] :
( ssItem(X8)
& ~ memberP(sK3,X8)
& memberP(sK2,X8) )
=> ( ssItem(sK6)
& ~ memberP(sK3,sK6)
& memberP(sK2,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X2,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(X2) != X5
| ~ neq(nil,X2)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& X0 = X2
& ssList(X3)
& ? [X8] :
( ssItem(X8)
& ~ memberP(X1,X8)
& memberP(X0,X8) )
& X1 = X3
& ( nil = X2
| nil != X3 ) )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X8] :
( ~ memberP(X1,X8)
& memberP(X0,X8)
& ssItem(X8) )
& ( ( neq(X2,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| tl(X2) != X5
| ~ neq(nil,X2)
| app(X5,X6) != X4
| ~ ssList(X6) ) ) ) )
| ~ neq(X3,nil) )
& X0 = X2
& ( nil = X2
| nil != X3 )
& 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)
=> ( ! [X8] :
( ssItem(X8)
=> ( memberP(X1,X8)
| ~ memberP(X0,X8) ) )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X4] :
( X3 != X4
& ssList(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssItem(X7)
& cons(X7,nil) = X6
& hd(X2) = X7
& neq(nil,X2) )
& neq(nil,X2)
& tl(X2) = X5
& app(X5,X6) = X4 ) ) ) ) )
| X0 != X2
| ( 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)
=> ( ( ( ? [X5] :
( X3 != X5
& ssList(X5)
& ? [X6] :
( ? [X7] :
( ssList(X7)
& tl(X2) = X6
& app(X6,X7) = X5
& neq(nil,X2)
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X2) = X8
& neq(nil,X2) ) )
& ssList(X6) ) )
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| ( nil = X3
& nil != X2 )
| X1 != X3
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X5] :
( X3 != X5
& ssList(X5)
& ? [X6] :
( ? [X7] :
( ssList(X7)
& tl(X2) = X6
& app(X6,X7) = X5
& neq(nil,X2)
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X2) = X8
& neq(nil,X2) ) )
& ssList(X6) ) )
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| ( nil = X3
& nil != X2 )
| X1 != X3
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1979,plain,
( memberP(sK3,sK6)
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1978,f197]) ).
fof(f197,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f154]) ).
fof(f1978,plain,
( ~ ssItem(sK6)
| memberP(sK3,sK6)
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(resolution,[],[f1955,f238]) ).
fof(f238,plain,
memberP(sK4,sK6),
inference(definition_unfolding,[],[f195,f199]) ).
fof(f199,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f154]) ).
fof(f195,plain,
memberP(sK2,sK6),
inference(cnf_transformation,[],[f154]) ).
fof(f1955,plain,
( ! [X0] :
( ~ memberP(sK4,X0)
| memberP(sK3,X0)
| ~ ssItem(X0) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(duplicate_literal_removal,[],[f1952]) ).
fof(f1952,plain,
( ! [X0] :
( ~ memberP(sK4,X0)
| ~ ssItem(X0)
| memberP(sK3,X0)
| ~ ssItem(X0) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(resolution,[],[f1444,f1160]) ).
fof(f1160,plain,
( ! [X4] :
( memberP(tl(app(sK4,sK4)),X4)
| ~ ssItem(X4)
| ~ memberP(sK4,X4) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(forward_demodulation,[],[f1159,f1124]) ).
fof(f1124,plain,
( tl(app(sK4,sK4)) = app(sK3,tl(sK4))
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1123,f270]) ).
fof(f270,plain,
( nil != sK4
| spl13_4 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl13_4
<=> nil = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f1123,plain,
( nil = sK4
| tl(app(sK4,sK4)) = app(sK3,tl(sK4))
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1122,f234]) ).
fof(f234,plain,
ssList(sK4),
inference(definition_unfolding,[],[f202,f199]) ).
fof(f202,plain,
ssList(sK2),
inference(cnf_transformation,[],[f154]) ).
fof(f1122,plain,
( tl(app(sK4,sK4)) = app(sK3,tl(sK4))
| ~ ssList(sK4)
| nil = sK4
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(duplicate_literal_removal,[],[f1106]) ).
fof(f1106,plain,
( tl(app(sK4,sK4)) = app(sK3,tl(sK4))
| nil = sK4
| ~ ssList(sK4)
| ~ ssList(sK4)
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(superposition,[],[f787,f174]) ).
fof(f174,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X1)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X1) ) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
fof(f787,plain,
( app(sK3,tl(sK4)) = app(tl(sK4),sK4)
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f786,f284]) ).
fof(f284,plain,
( ssList(tl(sK4))
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl13_7
<=> ssList(tl(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f786,plain,
( ~ ssList(tl(sK4))
| app(sK3,tl(sK4)) = app(tl(sK4),sK4)
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f785,f270]) ).
fof(f785,plain,
( app(sK3,tl(sK4)) = app(tl(sK4),sK4)
| nil = sK4
| ~ ssList(tl(sK4))
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f764,f234]) ).
fof(f764,plain,
( app(sK3,tl(sK4)) = app(tl(sK4),sK4)
| ~ ssList(sK4)
| nil = sK4
| ~ ssList(tl(sK4))
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(superposition,[],[f676,f172]) ).
fof(f172,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f676,plain,
( ! [X0] :
( app(tl(sK4),cons(hd(sK4),X0)) = app(sK3,X0)
| ~ ssList(X0) )
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f661,f280]) ).
fof(f280,plain,
( ssItem(hd(sK4))
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl13_6
<=> ssItem(hd(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f661,plain,
( ! [X0] :
( app(tl(sK4),cons(hd(sK4),X0)) = app(sK3,X0)
| ~ ssItem(hd(sK4))
| ~ ssList(X0) )
| ~ spl13_5
| ~ spl13_7
| ~ spl13_8 ),
inference(duplicate_literal_removal,[],[f642]) ).
fof(f642,plain,
( ! [X0] :
( ~ ssList(X0)
| app(tl(sK4),cons(hd(sK4),X0)) = app(sK3,X0)
| ~ ssItem(hd(sK4))
| ~ ssList(X0) )
| ~ spl13_5
| ~ spl13_7
| ~ spl13_8 ),
inference(superposition,[],[f399,f177]) ).
fof(f177,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f399,plain,
( ! [X7] :
( app(tl(sK4),app(cons(hd(sK4),nil),X7)) = app(sK3,X7)
| ~ ssList(X7) )
| ~ spl13_5
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f398,f284]) ).
fof(f398,plain,
( ! [X7] :
( app(tl(sK4),app(cons(hd(sK4),nil),X7)) = app(sK3,X7)
| ~ ssList(tl(sK4))
| ~ ssList(X7) )
| ~ spl13_5
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f368,f276]) ).
fof(f276,plain,
( ssList(cons(hd(sK4),nil))
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl13_5
<=> ssList(cons(hd(sK4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f368,plain,
( ! [X7] :
( ~ ssList(cons(hd(sK4),nil))
| ~ ssList(X7)
| ~ ssList(tl(sK4))
| app(tl(sK4),app(cons(hd(sK4),nil),X7)) = app(sK3,X7) )
| ~ spl13_8 ),
inference(superposition,[],[f218,f289]) ).
fof(f289,plain,
( app(tl(sK4),cons(hd(sK4),nil)) = sK3
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl13_8
<=> app(tl(sK4),cons(hd(sK4),nil)) = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f218,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f1159,plain,
( ! [X4] :
( ~ ssItem(X4)
| ~ memberP(sK4,X4)
| memberP(app(sK3,tl(sK4)),X4) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1158,f234]) ).
fof(f1158,plain,
( ! [X4] :
( ~ memberP(sK4,X4)
| ~ ssItem(X4)
| memberP(app(sK3,tl(sK4)),X4)
| ~ ssList(sK4) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1115,f284]) ).
fof(f1115,plain,
( ! [X4] :
( ~ memberP(sK4,X4)
| ~ ssList(tl(sK4))
| memberP(app(sK3,tl(sK4)),X4)
| ~ ssList(sK4)
| ~ ssItem(X4) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(superposition,[],[f208,f787]) ).
fof(f208,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) )
& ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) ) ) ) ) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) )
& ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) ) ) ) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( memberP(X1,X0)
| memberP(X2,X0) )
<=> memberP(app(X1,X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( memberP(X1,X0)
| memberP(X2,X0) )
<=> memberP(app(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f1444,plain,
( ! [X7] :
( ~ memberP(tl(app(sK4,sK4)),X7)
| memberP(sK3,X7)
| ~ ssItem(X7) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1443,f374]) ).
fof(f374,plain,
( ! [X5] :
( ~ memberP(tl(sK4),X5)
| ~ ssItem(X5)
| memberP(sK3,X5) )
| ~ spl13_5
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f373,f276]) ).
fof(f373,plain,
( ! [X5] :
( ~ ssItem(X5)
| ~ memberP(tl(sK4),X5)
| ~ ssList(cons(hd(sK4),nil))
| memberP(sK3,X5) )
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f365,f284]) ).
fof(f365,plain,
( ! [X5] :
( ~ ssItem(X5)
| memberP(sK3,X5)
| ~ memberP(tl(sK4),X5)
| ~ ssList(tl(sK4))
| ~ ssList(cons(hd(sK4),nil)) )
| ~ spl13_8 ),
inference(superposition,[],[f209,f289]) ).
fof(f209,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ memberP(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f1443,plain,
( ! [X7] :
( memberP(tl(sK4),X7)
| ~ ssItem(X7)
| memberP(sK3,X7)
| ~ memberP(tl(app(sK4,sK4)),X7) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1442,f284]) ).
fof(f1442,plain,
( ! [X7] :
( memberP(sK3,X7)
| memberP(tl(sK4),X7)
| ~ ssItem(X7)
| ~ ssList(tl(sK4))
| ~ memberP(tl(app(sK4,sK4)),X7) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f1428,f237]) ).
fof(f237,plain,
ssList(sK3),
inference(definition_unfolding,[],[f198,f194]) ).
fof(f194,plain,
sK5 = sK3,
inference(cnf_transformation,[],[f154]) ).
fof(f198,plain,
ssList(sK5),
inference(cnf_transformation,[],[f154]) ).
fof(f1428,plain,
( ! [X7] :
( ~ ssItem(X7)
| ~ ssList(sK3)
| ~ memberP(tl(app(sK4,sK4)),X7)
| memberP(tl(sK4),X7)
| memberP(sK3,X7)
| ~ ssList(tl(sK4)) )
| spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8 ),
inference(superposition,[],[f210,f1124]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| memberP(X2,X0)
| memberP(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f348,plain,
( spl13_4
| spl13_9 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| spl13_4
| spl13_9 ),
inference(subsumption_resolution,[],[f346,f226]) ).
fof(f226,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f346,plain,
( ~ ssList(nil)
| spl13_4
| spl13_9 ),
inference(subsumption_resolution,[],[f345,f234]) ).
fof(f345,plain,
( ~ ssList(sK4)
| ~ ssList(nil)
| spl13_4
| spl13_9 ),
inference(subsumption_resolution,[],[f343,f270]) ).
fof(f343,plain,
( nil = sK4
| ~ ssList(sK4)
| ~ ssList(nil)
| spl13_9 ),
inference(resolution,[],[f293,f185]) ).
fof(f185,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( X0 != X1
<=> neq(X0,X1) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f293,plain,
( ~ neq(nil,sK4)
| spl13_9 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl13_9
<=> neq(nil,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f342,plain,
( spl13_4
| spl13_7 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| spl13_4
| spl13_7 ),
inference(subsumption_resolution,[],[f340,f270]) ).
fof(f340,plain,
( nil = sK4
| spl13_7 ),
inference(subsumption_resolution,[],[f339,f234]) ).
fof(f339,plain,
( ~ ssList(sK4)
| nil = sK4
| spl13_7 ),
inference(resolution,[],[f285,f211]) ).
fof(f211,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/benchmark/theBenchmark.p',ax24) ).
fof(f285,plain,
( ~ ssList(tl(sK4))
| spl13_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f338,plain,
( spl13_4
| spl13_6 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| spl13_4
| spl13_6 ),
inference(subsumption_resolution,[],[f336,f270]) ).
fof(f336,plain,
( nil = sK4
| spl13_6 ),
inference(subsumption_resolution,[],[f335,f234]) ).
fof(f335,plain,
( ~ ssList(sK4)
| nil = sK4
| spl13_6 ),
inference(resolution,[],[f281,f178]) ).
fof(f178,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ssItem(hd(X0)) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f281,plain,
( ~ ssItem(hd(sK4))
| spl13_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f334,plain,
( spl13_4
| spl13_5 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| spl13_4
| spl13_5 ),
inference(subsumption_resolution,[],[f332,f270]) ).
fof(f332,plain,
( nil = sK4
| spl13_5 ),
inference(subsumption_resolution,[],[f331,f234]) ).
fof(f331,plain,
( ~ ssList(sK4)
| nil = sK4
| spl13_5 ),
inference(resolution,[],[f330,f178]) ).
fof(f330,plain,
( ~ ssItem(hd(sK4))
| spl13_5 ),
inference(subsumption_resolution,[],[f329,f226]) ).
fof(f329,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK4))
| spl13_5 ),
inference(resolution,[],[f277,f223]) ).
fof(f223,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,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/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f277,plain,
( ~ ssList(cons(hd(sK4),nil))
| spl13_5 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f328,plain,
( ~ spl13_2
| ~ spl13_4 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| ~ spl13_2
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f325,f226]) ).
fof(f325,plain,
( ~ ssList(nil)
| ~ spl13_2
| ~ spl13_4 ),
inference(resolution,[],[f318,f251]) ).
fof(f251,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f240,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( ~ ssList(X0)
| X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f318,plain,
( neq(nil,nil)
| ~ spl13_2
| ~ spl13_4 ),
inference(forward_demodulation,[],[f262,f271]) ).
fof(f271,plain,
( nil = sK4
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f262,plain,
( neq(sK4,nil)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl13_2
<=> neq(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f317,plain,
( spl13_1
| ~ spl13_4 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| spl13_1
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f314,f311]) ).
fof(f311,plain,
( memberP(nil,sK6)
| ~ spl13_4 ),
inference(superposition,[],[f238,f271]) ).
fof(f314,plain,
( ~ memberP(nil,sK6)
| spl13_1 ),
inference(superposition,[],[f196,f298]) ).
fof(f298,plain,
( nil = sK3
| spl13_1 ),
inference(subsumption_resolution,[],[f297,f237]) ).
fof(f297,plain,
( ~ ssList(sK3)
| nil = sK3
| spl13_1 ),
inference(subsumption_resolution,[],[f295,f226]) ).
fof(f295,plain,
( ~ ssList(nil)
| nil = sK3
| ~ ssList(sK3)
| spl13_1 ),
inference(resolution,[],[f258,f185]) ).
fof(f258,plain,
( ~ neq(sK3,nil)
| spl13_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl13_1
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f300,plain,
( spl13_1
| spl13_3 ),
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f299,plain,
( $false
| spl13_1
| spl13_3 ),
inference(subsumption_resolution,[],[f298,f267]) ).
fof(f267,plain,
( nil != sK3
| spl13_3 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl13_3
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f294,plain,
( ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_1
| spl13_8
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f273,f291,f287,f256,f283,f279,f275]) ).
fof(f273,plain,
( ~ neq(nil,sK4)
| app(tl(sK4),cons(hd(sK4),nil)) = sK3
| ~ neq(sK3,nil)
| ~ ssList(tl(sK4))
| ~ ssItem(hd(sK4))
| ~ ssList(cons(hd(sK4),nil)) ),
inference(subsumption_resolution,[],[f254,f228]) ).
fof(f228,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f254,plain,
( ~ ssItem(hd(sK4))
| ~ neq(sK3,nil)
| ~ ssList(app(tl(sK4),cons(hd(sK4),nil)))
| ~ ssList(tl(sK4))
| ~ neq(nil,sK4)
| ~ ssList(cons(hd(sK4),nil))
| app(tl(sK4),cons(hd(sK4),nil)) = sK3 ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
( app(tl(sK4),cons(hd(sK4),nil)) = sK3
| ~ neq(sK3,nil)
| ~ neq(nil,sK4)
| ~ neq(nil,sK4)
| ~ ssItem(hd(sK4))
| ~ ssList(cons(hd(sK4),nil))
| ~ ssList(tl(sK4))
| ~ ssList(app(tl(sK4),cons(hd(sK4),nil))) ),
inference(equality_resolution,[],[f245]) ).
fof(f245,plain,
! [X4] :
( sK3 = X4
| ~ ssList(X4)
| ~ ssList(tl(sK4))
| ~ neq(nil,sK4)
| ~ ssItem(hd(sK4))
| ~ neq(nil,sK4)
| app(tl(sK4),cons(hd(sK4),nil)) != X4
| ~ ssList(cons(hd(sK4),nil))
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f244]) ).
fof(f244,plain,
! [X4,X5] :
( sK3 = X4
| ~ ssList(X4)
| ~ ssList(X5)
| ~ neq(nil,sK4)
| ~ ssItem(hd(sK4))
| tl(sK4) != X5
| ~ neq(nil,sK4)
| app(X5,cons(hd(sK4),nil)) != X4
| ~ ssList(cons(hd(sK4),nil))
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f243]) ).
fof(f243,plain,
! [X6,X4,X5] :
( sK3 = X4
| ~ ssList(X4)
| ~ ssList(X5)
| ~ neq(nil,sK4)
| ~ ssItem(hd(sK4))
| cons(hd(sK4),nil) != X6
| tl(sK4) != X5
| ~ neq(nil,sK4)
| app(X5,X6) != X4
| ~ ssList(X6)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X6,X7,X4,X5] :
( sK3 = X4
| ~ ssList(X4)
| ~ ssList(X5)
| hd(sK4) != X7
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| cons(X7,nil) != X6
| tl(sK4) != X5
| ~ neq(nil,sK4)
| app(X5,X6) != X4
| ~ ssList(X6)
| ~ neq(sK3,nil) ),
inference(definition_unfolding,[],[f200,f194,f194]) ).
fof(f200,plain,
! [X6,X7,X4,X5] :
( sK5 = X4
| ~ ssList(X4)
| ~ ssList(X5)
| hd(sK4) != X7
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| cons(X7,nil) != X6
| tl(sK4) != X5
| ~ neq(nil,sK4)
| app(X5,X6) != X4
| ~ ssList(X6)
| ~ neq(sK5,nil) ),
inference(cnf_transformation,[],[f154]) ).
fof(f272,plain,
( ~ spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f239,f269,f265]) ).
fof(f239,plain,
( nil = sK4
| nil != sK3 ),
inference(definition_unfolding,[],[f193,f194]) ).
fof(f193,plain,
( nil = sK4
| nil != sK5 ),
inference(cnf_transformation,[],[f154]) ).
fof(f263,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f235,f260,f256]) ).
fof(f235,plain,
( neq(sK4,nil)
| ~ neq(sK3,nil) ),
inference(definition_unfolding,[],[f201,f194]) ).
fof(f201,plain,
( neq(sK4,nil)
| ~ neq(sK5,nil) ),
inference(cnf_transformation,[],[f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWC396+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:55:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (3721)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)
% 0.18/0.48 % (3739)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)
% 0.18/0.48 % (3740)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)
% 0.18/0.48 % (3738)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)
% 0.18/0.48 % (3722)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)
% 0.18/0.48 % (3717)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)
% 0.18/0.49 % (3732)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)
% 0.18/0.49 % (3723)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)
% 0.18/0.49 % (3731)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)
% 0.18/0.50 % (3730)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)
% 0.18/0.50 % (3719)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)
% 0.18/0.51 % (3744)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)
% 0.18/0.51 % (3730)Instruction limit reached!
% 0.18/0.51 % (3730)------------------------------
% 0.18/0.51 % (3730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (3730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (3730)Termination reason: Unknown
% 0.18/0.51 % (3730)Termination phase: Naming
% 0.18/0.51
% 0.18/0.51 % (3730)Memory used [KB]: 1535
% 0.18/0.51 % (3730)Time elapsed: 0.004 s
% 0.18/0.51 % (3730)Instructions burned: 3 (million)
% 0.18/0.51 % (3730)------------------------------
% 0.18/0.51 % (3730)------------------------------
% 0.18/0.51 % (3721)Instruction limit reached!
% 0.18/0.51 % (3721)------------------------------
% 0.18/0.51 % (3721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (3721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (3721)Termination reason: Unknown
% 0.18/0.51 % (3721)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (3721)Memory used [KB]: 1791
% 0.18/0.51 % (3721)Time elapsed: 0.110 s
% 0.18/0.51 % (3721)Instructions burned: 15 (million)
% 0.18/0.51 % (3721)------------------------------
% 0.18/0.51 % (3721)------------------------------
% 0.18/0.51 % (3724)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)
% 0.18/0.51 % (3717)Instruction limit reached!
% 0.18/0.51 % (3717)------------------------------
% 0.18/0.51 % (3717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (3717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (3717)Termination reason: Unknown
% 0.18/0.51 % (3717)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (3717)Memory used [KB]: 6396
% 0.18/0.51 % (3717)Time elapsed: 0.133 s
% 0.18/0.51 % (3717)Instructions burned: 13 (million)
% 0.18/0.51 % (3717)------------------------------
% 0.18/0.51 % (3717)------------------------------
% 0.18/0.51 % (3731)Instruction limit reached!
% 0.18/0.51 % (3731)------------------------------
% 0.18/0.51 % (3731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (3718)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)
% 0.18/0.51 % (3731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (3731)Termination reason: Unknown
% 0.18/0.51 % (3731)Termination phase: Equality resolution with deletion
% 0.18/0.51
% 0.18/0.51 % (3731)Memory used [KB]: 1791
% 0.18/0.51 % (3731)Time elapsed: 0.008 s
% 0.18/0.51 % (3731)Instructions burned: 8 (million)
% 0.18/0.51 % (3731)------------------------------
% 0.18/0.51 % (3731)------------------------------
% 0.18/0.51 % (3743)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)
% 0.18/0.51 % (3718)Instruction limit reached!
% 0.18/0.51 % (3718)------------------------------
% 0.18/0.51 % (3718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (3718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (3718)Termination reason: Unknown
% 0.18/0.51 % (3718)Termination phase: Preprocessing 3
% 0.18/0.51
% 0.18/0.51 % (3718)Memory used [KB]: 1535
% 0.18/0.51 % (3718)Time elapsed: 0.003 s
% 0.18/0.51 % (3718)Instructions burned: 3 (million)
% 0.18/0.51 % (3718)------------------------------
% 0.18/0.51 % (3718)------------------------------
% 0.18/0.52 % (3741)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)
% 0.18/0.52 % (3728)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)
% 0.18/0.52 % (3716)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (3742)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)
% 0.18/0.52 % (3725)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)
% 0.18/0.52 % (3733)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (3733)Instruction limit reached!
% 0.18/0.52 % (3733)------------------------------
% 0.18/0.52 % (3733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (3733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (3733)Termination reason: Unknown
% 0.18/0.52 % (3733)Termination phase: shuffling
% 0.18/0.52
% 0.18/0.52 % (3733)Memory used [KB]: 1535
% 0.18/0.52 % (3733)Time elapsed: 0.003 s
% 0.18/0.52 % (3733)Instructions burned: 3 (million)
% 0.18/0.52 % (3733)------------------------------
% 0.18/0.52 % (3733)------------------------------
% 0.18/0.53 % (3726)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)
% 0.18/0.53 % (3734)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)
% 0.18/0.53 % (3727)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)
% 0.18/0.53 % (3736)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)
% 0.18/0.53 % (3734)Instruction limit reached!
% 0.18/0.53 % (3734)------------------------------
% 0.18/0.53 % (3734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (3734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (3734)Termination reason: Unknown
% 0.18/0.53 % (3734)Termination phase: Preprocessing 3
% 0.18/0.53
% 0.18/0.53 % (3734)Memory used [KB]: 1535
% 0.18/0.53 % (3734)Time elapsed: 0.004 s
% 0.18/0.53 % (3734)Instructions burned: 3 (million)
% 0.18/0.53 % (3734)------------------------------
% 0.18/0.53 % (3734)------------------------------
% 0.18/0.53 % (3727)Instruction limit reached!
% 0.18/0.53 % (3727)------------------------------
% 0.18/0.53 % (3727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (3735)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)
% 0.18/0.53 % (3726)Refutation not found, incomplete strategy% (3726)------------------------------
% 0.18/0.53 % (3726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (3744)Instruction limit reached!
% 0.18/0.53 % (3744)------------------------------
% 0.18/0.53 % (3744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (3729)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)
% 0.18/0.54 % (3744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (3744)Termination reason: Unknown
% 0.18/0.54 % (3744)Termination phase: Property scanning
% 0.18/0.54
% 0.18/0.54 % (3744)Memory used [KB]: 1791
% 0.18/0.54 % (3744)Time elapsed: 0.008 s
% 0.18/0.54 % (3744)Instructions burned: 9 (million)
% 0.18/0.54 % (3744)------------------------------
% 0.18/0.54 % (3744)------------------------------
% 0.18/0.54 % (3720)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)
% 0.18/0.54 % (3728)Instruction limit reached!
% 0.18/0.54 % (3728)------------------------------
% 0.18/0.54 % (3728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (3728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (3728)Termination reason: Unknown
% 0.18/0.54 % (3728)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (3728)Memory used [KB]: 2046
% 0.18/0.54 % (3728)Time elapsed: 0.152 s
% 0.18/0.54 % (3728)Instructions burned: 16 (million)
% 0.18/0.54 % (3728)------------------------------
% 0.18/0.54 % (3728)------------------------------
% 0.18/0.54 % (3727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (3727)Termination reason: Unknown
% 0.18/0.54 % (3727)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (3727)Memory used [KB]: 6140
% 0.18/0.54 % (3727)Time elapsed: 0.155 s
% 0.18/0.54 % (3727)Instructions burned: 7 (million)
% 0.18/0.54 % (3727)------------------------------
% 0.18/0.54 % (3727)------------------------------
% 0.18/0.54 % (3726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (3726)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54
% 0.18/0.54 % (3726)Memory used [KB]: 6140
% 0.18/0.54 % (3726)Time elapsed: 0.151 s
% 0.18/0.54 % (3726)Instructions burned: 8 (million)
% 0.18/0.54 % (3726)------------------------------
% 0.18/0.54 % (3726)------------------------------
% 0.18/0.55 % (3745)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)
% 0.18/0.56 % (3735)Refutation not found, incomplete strategy% (3735)------------------------------
% 0.18/0.56 % (3735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (3735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (3735)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.56
% 0.18/0.56 % (3735)Memory used [KB]: 6268
% 0.18/0.56 % (3735)Time elapsed: 0.166 s
% 0.18/0.56 % (3735)Instructions burned: 9 (million)
% 0.18/0.56 % (3735)------------------------------
% 0.18/0.56 % (3735)------------------------------
% 0.18/0.56 % (3723)Instruction limit reached!
% 0.18/0.56 % (3723)------------------------------
% 0.18/0.56 % (3723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (3723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (3723)Termination reason: Unknown
% 0.18/0.56 % (3723)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (3723)Memory used [KB]: 6524
% 0.18/0.56 % (3723)Time elapsed: 0.179 s
% 0.18/0.56 % (3723)Instructions burned: 39 (million)
% 0.18/0.56 % (3723)------------------------------
% 0.18/0.56 % (3723)------------------------------
% 0.18/0.56 % (3743)Instruction limit reached!
% 0.18/0.56 % (3743)------------------------------
% 0.18/0.56 % (3743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (3743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (3743)Termination reason: Unknown
% 0.18/0.56 % (3743)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (3743)Memory used [KB]: 6652
% 0.18/0.56 % (3743)Time elapsed: 0.194 s
% 0.18/0.56 % (3743)Instructions burned: 26 (million)
% 0.18/0.56 % (3743)------------------------------
% 0.18/0.56 % (3743)------------------------------
% 0.18/0.57 % (3720)Instruction limit reached!
% 0.18/0.57 % (3720)------------------------------
% 0.18/0.57 % (3720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (3720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (3720)Termination reason: Unknown
% 0.18/0.57 % (3720)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (3720)Memory used [KB]: 6268
% 0.18/0.57 % (3720)Time elapsed: 0.185 s
% 0.18/0.57 % (3720)Instructions burned: 14 (million)
% 0.18/0.57 % (3720)------------------------------
% 0.18/0.57 % (3720)------------------------------
% 0.18/0.57 % (3737)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)
% 0.18/0.57 % (3722)Instruction limit reached!
% 0.18/0.57 % (3722)------------------------------
% 0.18/0.57 % (3722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (3722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (3722)Termination reason: Unknown
% 0.18/0.57 % (3722)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (3722)Memory used [KB]: 6524
% 0.18/0.57 % (3722)Time elapsed: 0.183 s
% 0.18/0.57 % (3722)Instructions burned: 39 (million)
% 0.18/0.57 % (3722)------------------------------
% 0.18/0.57 % (3722)------------------------------
% 0.18/0.57 % (3725)Refutation not found, non-redundant clauses discarded% (3725)------------------------------
% 0.18/0.57 % (3725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (3725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (3725)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.18/0.57
% 0.18/0.57 % (3725)Memory used [KB]: 6524
% 0.18/0.57 % (3725)Time elapsed: 0.195 s
% 0.18/0.57 % (3725)Instructions burned: 32 (million)
% 0.18/0.57 % (3725)------------------------------
% 0.18/0.57 % (3725)------------------------------
% 0.18/0.58 % (3739)Instruction limit reached!
% 0.18/0.58 % (3739)------------------------------
% 0.18/0.58 % (3739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (3739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (3739)Termination reason: Unknown
% 0.18/0.58 % (3739)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (3739)Memory used [KB]: 2174
% 0.18/0.58 % (3739)Time elapsed: 0.187 s
% 0.18/0.58 % (3739)Instructions burned: 45 (million)
% 0.18/0.58 % (3739)------------------------------
% 0.18/0.58 % (3739)------------------------------
% 0.18/0.58 % (3719)Instruction limit reached!
% 0.18/0.58 % (3719)------------------------------
% 0.18/0.58 % (3719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (3719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (3719)Termination reason: Unknown
% 0.18/0.58 % (3719)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (3719)Memory used [KB]: 6908
% 0.18/0.58 % (3719)Time elapsed: 0.184 s
% 0.18/0.58 % (3719)Instructions burned: 52 (million)
% 0.18/0.58 % (3719)------------------------------
% 0.18/0.58 % (3719)------------------------------
% 1.94/0.59 % (3745)Instruction limit reached!
% 1.94/0.59 % (3745)------------------------------
% 1.94/0.59 % (3745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.59 % (3745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.59 % (3745)Termination reason: Unknown
% 1.94/0.59 % (3745)Termination phase: Saturation
% 1.94/0.59
% 1.94/0.59 % (3745)Memory used [KB]: 6396
% 1.94/0.59 % (3745)Time elapsed: 0.191 s
% 1.94/0.59 % (3745)Instructions burned: 24 (million)
% 1.94/0.59 % (3745)------------------------------
% 1.94/0.59 % (3745)------------------------------
% 2.11/0.60 % (3736)Instruction limit reached!
% 2.11/0.60 % (3736)------------------------------
% 2.11/0.60 % (3736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.61 % (3740)Instruction limit reached!
% 2.11/0.61 % (3740)------------------------------
% 2.11/0.61 % (3740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.61 % (3740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.61 % (3740)Termination reason: Unknown
% 2.11/0.61 % (3740)Termination phase: Saturation
% 2.11/0.61
% 2.11/0.61 % (3740)Memory used [KB]: 6780
% 2.11/0.61 % (3740)Time elapsed: 0.201 s
% 2.11/0.61 % (3740)Instructions burned: 50 (million)
% 2.11/0.61 % (3740)------------------------------
% 2.11/0.61 % (3740)------------------------------
% 2.11/0.61 % (3724)Instruction limit reached!
% 2.11/0.61 % (3724)------------------------------
% 2.11/0.61 % (3724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.61 % (3724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.61 % (3724)Termination reason: Unknown
% 2.11/0.61 % (3724)Termination phase: Saturation
% 2.11/0.61
% 2.11/0.61 % (3724)Memory used [KB]: 6780
% 2.11/0.61 % (3724)Time elapsed: 0.204 s
% 2.11/0.61 % (3724)Instructions burned: 50 (million)
% 2.11/0.61 % (3724)------------------------------
% 2.11/0.61 % (3724)------------------------------
% 2.11/0.61 % (3736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.61 % (3736)Termination reason: Unknown
% 2.11/0.61 % (3736)Termination phase: Saturation
% 2.11/0.61
% 2.11/0.61 % (3736)Memory used [KB]: 6524
% 2.11/0.61 % (3736)Time elapsed: 0.206 s
% 2.11/0.61 % (3736)Instructions burned: 30 (million)
% 2.11/0.61 % (3736)------------------------------
% 2.11/0.61 % (3736)------------------------------
% 2.11/0.61 % (3732)Instruction limit reached!
% 2.11/0.61 % (3732)------------------------------
% 2.11/0.61 % (3732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.61 % (3732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.61 % (3732)Termination reason: Unknown
% 2.11/0.61 % (3732)Termination phase: Saturation
% 2.11/0.61
% 2.11/0.61 % (3732)Memory used [KB]: 6908
% 2.11/0.61 % (3732)Time elapsed: 0.221 s
% 2.11/0.61 % (3732)Instructions burned: 50 (million)
% 2.11/0.61 % (3732)------------------------------
% 2.11/0.61 % (3732)------------------------------
% 2.28/0.66 % (3738)Instruction limit reached!
% 2.28/0.66 % (3738)------------------------------
% 2.28/0.66 % (3738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (3738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (3738)Termination reason: Unknown
% 2.28/0.66 % (3738)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (3738)Memory used [KB]: 8315
% 2.28/0.66 % (3738)Time elapsed: 0.277 s
% 2.28/0.66 % (3738)Instructions burned: 82 (million)
% 2.28/0.66 % (3738)------------------------------
% 2.28/0.66 % (3738)------------------------------
% 2.28/0.67 % (3748)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.28/0.67 % (3729)Instruction limit reached!
% 2.28/0.67 % (3729)------------------------------
% 2.28/0.67 % (3729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (3729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (3729)Termination reason: Unknown
% 2.28/0.67 % (3729)Termination phase: Saturation
% 2.28/0.67
% 2.28/0.67 % (3729)Memory used [KB]: 7675
% 2.28/0.67 % (3729)Time elapsed: 0.271 s
% 2.28/0.67 % (3729)Instructions burned: 52 (million)
% 2.28/0.67 % (3729)------------------------------
% 2.28/0.67 % (3729)------------------------------
% 2.28/0.68 % (3746)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.28/0.68 % (3754)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.28/0.69 % (3747)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 (2998ds/7Mi)
% 2.28/0.69 % (3752)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.28/0.69 % (3741)Instruction limit reached!
% 2.28/0.69 % (3741)------------------------------
% 2.28/0.69 % (3741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.69 % (3741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.69 % (3741)Termination reason: Unknown
% 2.28/0.69 % (3741)Termination phase: Saturation
% 2.28/0.69
% 2.28/0.69 % (3741)Memory used [KB]: 7803
% 2.28/0.69 % (3741)Time elapsed: 0.266 s
% 2.28/0.69 % (3741)Instructions burned: 96 (million)
% 2.28/0.69 % (3741)------------------------------
% 2.28/0.69 % (3741)------------------------------
% 2.28/0.69 % (3749)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.28/0.70 % (3747)Instruction limit reached!
% 2.28/0.70 % (3747)------------------------------
% 2.28/0.70 % (3747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.70 % (3747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.70 % (3747)Termination reason: Unknown
% 2.28/0.70 % (3747)Termination phase: Saturation
% 2.28/0.70
% 2.28/0.70 % (3747)Memory used [KB]: 10618
% 2.28/0.70 % (3747)Time elapsed: 0.129 s
% 2.28/0.70 % (3747)Instructions burned: 7 (million)
% 2.28/0.70 % (3747)------------------------------
% 2.28/0.70 % (3747)------------------------------
% 2.28/0.70 % (3753)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.28/0.70 % (3755)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.28/0.71 % (3756)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.28/0.71 % (3751)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 (2998ds/107Mi)
% 2.28/0.72 % (3755)Refutation not found, incomplete strategy% (3755)------------------------------
% 2.28/0.72 % (3755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.72 % (3760)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.76/0.73 % (3767)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.76/0.73 % (3757)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.76/0.74 % (3763)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.76/0.74 % (3759)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.76/0.75 % (3755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.75 % (3755)Termination reason: Refutation not found, incomplete strategy
% 2.76/0.75
% 2.76/0.75 % (3755)Memory used [KB]: 6524
% 2.76/0.75 % (3755)Time elapsed: 0.110 s
% 2.76/0.75 % (3755)Instructions burned: 13 (million)
% 2.76/0.75 % (3755)------------------------------
% 2.76/0.75 % (3755)------------------------------
% 2.76/0.75 % (3742)Instruction limit reached!
% 2.76/0.75 % (3742)------------------------------
% 2.76/0.75 % (3742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.75 % (3742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.75 % (3742)Termination reason: Unknown
% 2.76/0.75 % (3742)Termination phase: Saturation
% 2.76/0.75
% 2.76/0.75 % (3742)Memory used [KB]: 7547
% 2.76/0.75 % (3742)Time elapsed: 0.372 s
% 2.76/0.75 % (3742)Instructions burned: 100 (million)
% 2.76/0.75 % (3742)------------------------------
% 2.76/0.75 % (3742)------------------------------
% 2.76/0.75 % (3761)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.76/0.75 % (3764)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.76/0.76 % (3754)Instruction limit reached!
% 2.76/0.76 % (3754)------------------------------
% 2.76/0.76 % (3754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.76 % (3754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.76 % (3754)Termination reason: Unknown
% 2.76/0.76 % (3754)Termination phase: Saturation
% 2.76/0.76
% 2.76/0.76 % (3754)Memory used [KB]: 7036
% 2.76/0.76 % (3754)Time elapsed: 0.198 s
% 2.76/0.76 % (3754)Instructions burned: 42 (million)
% 2.76/0.76 % (3754)------------------------------
% 2.76/0.76 % (3754)------------------------------
% 2.76/0.76 % (3758)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.76/0.76 % (3737)Instruction limit reached!
% 2.76/0.76 % (3737)------------------------------
% 2.76/0.76 % (3737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.76 % (3737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.76 % (3737)Termination reason: Unknown
% 2.76/0.76 % (3737)Termination phase: Saturation
% 2.76/0.76
% 2.76/0.76 % (3737)Memory used [KB]: 7675
% 2.76/0.76 % (3737)Time elapsed: 0.343 s
% 2.76/0.76 % (3737)Instructions burned: 99 (million)
% 2.76/0.76 % (3737)------------------------------
% 2.76/0.76 % (3737)------------------------------
% 2.76/0.76 % (3762)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.76/0.77 % (3765)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.76/0.77 % (3768)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=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.76/0.77 % (3770)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 3.02/0.79 % (3769)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 3.02/0.81 % (3766)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 3.02/0.81 % (3762)Instruction limit reached!
% 3.02/0.81 % (3762)------------------------------
% 3.02/0.81 % (3762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.81 % (3762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.81 % (3762)Termination reason: Unknown
% 3.02/0.81 % (3762)Termination phase: Saturation
% 3.02/0.81
% 3.02/0.81 % (3762)Memory used [KB]: 6524
% 3.02/0.81 % (3762)Time elapsed: 0.175 s
% 3.02/0.81 % (3762)Instructions burned: 15 (million)
% 3.02/0.81 % (3762)------------------------------
% 3.02/0.81 % (3762)------------------------------
% 3.02/0.82 % (3746)First to succeed.
% 3.02/0.82 % (3763)Instruction limit reached!
% 3.02/0.82 % (3763)------------------------------
% 3.02/0.82 % (3763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.82 % (3769)Instruction limit reached!
% 3.02/0.82 % (3769)------------------------------
% 3.02/0.82 % (3769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.82 % (3769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.82 % (3769)Termination reason: Unknown
% 3.02/0.82 % (3769)Termination phase: Saturation
% 3.02/0.82
% 3.02/0.82 % (3769)Memory used [KB]: 6140
% 3.02/0.82 % (3769)Time elapsed: 0.136 s
% 3.02/0.82 % (3769)Instructions burned: 10 (million)
% 3.02/0.82 % (3769)------------------------------
% 3.02/0.82 % (3769)------------------------------
% 3.02/0.82 % (3763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.82 % (3763)Termination reason: Unknown
% 3.02/0.82 % (3763)Termination phase: Saturation
% 3.02/0.82
% 3.02/0.82 % (3763)Memory used [KB]: 6652
% 3.02/0.82 % (3763)Time elapsed: 0.211 s
% 3.02/0.82 % (3763)Instructions burned: 32 (million)
% 3.02/0.82 % (3763)------------------------------
% 3.02/0.82 % (3763)------------------------------
% 3.02/0.83 % (3773)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 3.02/0.83 % (3752)Instruction limit reached!
% 3.02/0.83 % (3752)------------------------------
% 3.02/0.83 % (3752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.83 % (3752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.83 % (3752)Termination reason: Unknown
% 3.02/0.83 % (3752)Termination phase: Saturation
% 3.02/0.83
% 3.02/0.83 % (3752)Memory used [KB]: 6780
% 3.02/0.83 % (3752)Time elapsed: 0.272 s
% 3.02/0.83 % (3752)Instructions burned: 57 (million)
% 3.02/0.83 % (3752)------------------------------
% 3.02/0.83 % (3752)------------------------------
% 3.02/0.83 % (3771)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 3.02/0.83 % (3766)Instruction limit reached!
% 3.02/0.83 % (3766)------------------------------
% 3.02/0.83 % (3766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.84 % (3746)Refutation found. Thanks to Tanya!
% 3.02/0.84 % SZS status Theorem for theBenchmark
% 3.02/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.02/0.84 % (3746)------------------------------
% 3.02/0.84 % (3746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.84 % (3746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.84 % (3746)Termination reason: Refutation
% 3.02/0.84
% 3.02/0.84 % (3746)Memory used [KB]: 7164
% 3.02/0.84 % (3746)Time elapsed: 0.238 s
% 3.02/0.84 % (3746)Instructions burned: 73 (million)
% 3.02/0.84 % (3746)------------------------------
% 3.02/0.84 % (3746)------------------------------
% 3.02/0.84 % (3715)Success in time 0.507 s
%------------------------------------------------------------------------------