TSTP Solution File: SEU009+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n020.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 18:26:19 EDT 2022
% Result : Theorem 1.36s 0.54s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 76 ( 6 unt; 0 def)
% Number of atoms : 345 ( 40 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 444 ( 175 ~; 176 |; 67 &)
% ( 13 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 98 ( 76 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f761,plain,
$false,
inference(avatar_sat_refutation,[],[f194,f195,f196,f731,f753,f760]) ).
fof(f760,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f759,plain,
( $false
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f758,f189]) ).
fof(f189,plain,
( ~ in(apply(sK4,sK5),sK3)
| spl13_2 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl13_2
<=> in(apply(sK4,sK5),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f758,plain,
( in(apply(sK4,sK5),sK3)
| ~ spl13_1 ),
inference(forward_demodulation,[],[f757,f237]) ).
fof(f237,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(subsumption_resolution,[],[f235,f150]) ).
fof(f150,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f235,plain,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
| ~ function(identity_relation(X0)) ),
inference(resolution,[],[f178,f151]) ).
fof(f151,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f178,plain,
! [X0] :
( ~ relation(identity_relation(X0))
| ~ function(identity_relation(X0))
| relation_dom(identity_relation(X0)) = X0 ),
inference(equality_resolution,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( relation_dom(X1) = X0
| identity_relation(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ( in(sK12(X0,X1),X0)
& apply(X1,sK12(X0,X1)) != sK12(X0,X1) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( ~ in(X3,X0)
| apply(X1,X3) = X3 ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f115,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
=> ( in(sK12(X0,X1),X0)
& apply(X1,sK12(X0,X1)) != sK12(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( ~ in(X3,X0)
| apply(X1,X3) = X3 ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ( relation_dom(X1) = X0
& ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ( identity_relation(X0) = X1
<=> ( relation_dom(X1) = X0
& ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 ) ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
<=> identity_relation(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f757,plain,
( in(apply(sK4,sK5),relation_dom(identity_relation(sK3)))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f756,f150]) ).
fof(f756,plain,
( ~ function(identity_relation(sK3))
| in(apply(sK4,sK5),relation_dom(identity_relation(sK3)))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f755,f137]) ).
fof(f137,plain,
relation(sK4),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( relation(sK4)
& function(sK4)
& ( ~ in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3))))
| ~ in(sK5,relation_dom(sK4))
| ~ in(apply(sK4,sK5),sK3) )
& ( in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3))))
| ( in(sK5,relation_dom(sK4))
& in(apply(sK4,sK5),sK3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f92,f93]) ).
fof(f93,plain,
( ? [X0,X1,X2] :
( relation(X1)
& function(X1)
& ( ~ in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ~ in(X2,relation_dom(X1))
| ~ in(apply(X1,X2),X0) )
& ( in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ( in(X2,relation_dom(X1))
& in(apply(X1,X2),X0) ) ) )
=> ( relation(sK4)
& function(sK4)
& ( ~ in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3))))
| ~ in(sK5,relation_dom(sK4))
| ~ in(apply(sK4,sK5),sK3) )
& ( in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3))))
| ( in(sK5,relation_dom(sK4))
& in(apply(sK4,sK5),sK3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
? [X0,X1,X2] :
( relation(X1)
& function(X1)
& ( ~ in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ~ in(X2,relation_dom(X1))
| ~ in(apply(X1,X2),X0) )
& ( in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ( in(X2,relation_dom(X1))
& in(apply(X1,X2),X0) ) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
? [X1,X0,X2] :
( relation(X0)
& function(X0)
& ( ~ in(X2,relation_dom(relation_composition(X0,identity_relation(X1))))
| ~ in(X2,relation_dom(X0))
| ~ in(apply(X0,X2),X1) )
& ( in(X2,relation_dom(relation_composition(X0,identity_relation(X1))))
| ( in(X2,relation_dom(X0))
& in(apply(X0,X2),X1) ) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
? [X1,X0,X2] :
( relation(X0)
& function(X0)
& ( ~ in(X2,relation_dom(relation_composition(X0,identity_relation(X1))))
| ~ in(X2,relation_dom(X0))
| ~ in(apply(X0,X2),X1) )
& ( in(X2,relation_dom(relation_composition(X0,identity_relation(X1))))
| ( in(X2,relation_dom(X0))
& in(apply(X0,X2),X1) ) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
? [X1,X0,X2] :
( relation(X0)
& function(X0)
& ( ( in(X2,relation_dom(X0))
& in(apply(X0,X2),X1) )
<~> in(X2,relation_dom(relation_composition(X0,identity_relation(X1)))) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X1,X2,X0] :
( ( ( in(X2,relation_dom(X0))
& in(apply(X0,X2),X1) )
<~> in(X2,relation_dom(relation_composition(X0,identity_relation(X1)))) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X2,X0] :
( ( function(X0)
& relation(X0) )
=> ( ( in(X2,relation_dom(X0))
& in(apply(X0,X2),X1) )
<=> in(X2,relation_dom(relation_composition(X0,identity_relation(X1)))) ) ),
inference(rectify,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X2,X0,X1] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
<=> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X2,X0,X1] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
<=> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_funct_1) ).
fof(f755,plain,
( ~ relation(sK4)
| in(apply(sK4,sK5),relation_dom(identity_relation(sK3)))
| ~ function(identity_relation(sK3))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f754,f136]) ).
fof(f136,plain,
function(sK4),
inference(cnf_transformation,[],[f94]) ).
fof(f754,plain,
( ~ function(sK4)
| ~ function(identity_relation(sK3))
| ~ relation(sK4)
| in(apply(sK4,sK5),relation_dom(identity_relation(sK3)))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f741,f151]) ).
fof(f741,plain,
( ~ relation(identity_relation(sK3))
| ~ relation(sK4)
| in(apply(sK4,sK5),relation_dom(identity_relation(sK3)))
| ~ function(sK4)
| ~ function(identity_relation(sK3))
| ~ spl13_1 ),
inference(resolution,[],[f184,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X2)
| in(apply(X2,X1),relation_dom(X0))
| ~ function(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ( ( in(X1,relation_dom(relation_composition(X2,X0)))
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),relation_dom(X0)) )
& ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
| ~ in(X1,relation_dom(relation_composition(X2,X0))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ( ( in(X1,relation_dom(relation_composition(X2,X0)))
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),relation_dom(X0)) )
& ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
| ~ in(X1,relation_dom(relation_composition(X2,X0))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ( in(X1,relation_dom(relation_composition(X2,X0)))
<=> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ! [X2] :
( ( in(X1,relation_dom(relation_composition(X2,X0)))
<=> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,X0)))
<=> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) ) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f184,plain,
( in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3))))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl13_1
<=> in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f753,plain,
( ~ spl13_1
| spl13_3 ),
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f752,plain,
( $false
| ~ spl13_1
| spl13_3 ),
inference(subsumption_resolution,[],[f751,f193]) ).
fof(f193,plain,
( ~ in(sK5,relation_dom(sK4))
| spl13_3 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl13_3
<=> in(sK5,relation_dom(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f751,plain,
( in(sK5,relation_dom(sK4))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f750,f136]) ).
fof(f750,plain,
( ~ function(sK4)
| in(sK5,relation_dom(sK4))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f749,f151]) ).
fof(f749,plain,
( ~ relation(identity_relation(sK3))
| in(sK5,relation_dom(sK4))
| ~ function(sK4)
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f748,f137]) ).
fof(f748,plain,
( ~ relation(sK4)
| ~ function(sK4)
| in(sK5,relation_dom(sK4))
| ~ relation(identity_relation(sK3))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f742,f150]) ).
fof(f742,plain,
( ~ function(identity_relation(sK3))
| ~ relation(identity_relation(sK3))
| in(sK5,relation_dom(sK4))
| ~ relation(sK4)
| ~ function(sK4)
| ~ spl13_1 ),
inference(resolution,[],[f184,f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ function(X0)
| in(X1,relation_dom(X2))
| ~ function(X2)
| ~ relation(X0)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f731,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f730,plain,
( $false
| spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f729,f192]) ).
fof(f192,plain,
( in(sK5,relation_dom(sK4))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f729,plain,
( ~ in(sK5,relation_dom(sK4))
| spl13_1
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f728,f137]) ).
fof(f728,plain,
( ~ relation(sK4)
| ~ in(sK5,relation_dom(sK4))
| spl13_1
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f727,f136]) ).
fof(f727,plain,
( ~ function(sK4)
| ~ relation(sK4)
| ~ in(sK5,relation_dom(sK4))
| spl13_1
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f724,f185]) ).
fof(f185,plain,
( ~ in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3))))
| spl13_1 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f724,plain,
( ~ function(sK4)
| ~ in(sK5,relation_dom(sK4))
| ~ relation(sK4)
| in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3))))
| ~ spl13_2 ),
inference(resolution,[],[f265,f188]) ).
fof(f188,plain,
( in(apply(sK4,sK5),sK3)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ in(apply(X1,X2),X0)
| ~ in(X2,relation_dom(X1))
| ~ relation(X1)
| in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ~ function(X1) ),
inference(subsumption_resolution,[],[f264,f151]) ).
fof(f264,plain,
! [X2,X0,X1] :
( in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ~ relation(identity_relation(X0))
| ~ in(X2,relation_dom(X1))
| ~ in(apply(X1,X2),X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(subsumption_resolution,[],[f259,f150]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ in(apply(X1,X2),X0)
| ~ in(X2,relation_dom(X1))
| in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ~ relation(X1)
| ~ function(identity_relation(X0))
| ~ relation(identity_relation(X0))
| ~ function(X1) ),
inference(superposition,[],[f121,f237]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X1),relation_dom(X0))
| ~ in(X1,relation_dom(X2))
| ~ relation(X0)
| ~ function(X2)
| ~ function(X0)
| ~ relation(X2)
| in(X1,relation_dom(relation_composition(X2,X0))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f196,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f133,f187,f183]) ).
fof(f133,plain,
( in(apply(sK4,sK5),sK3)
| in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3)))) ),
inference(cnf_transformation,[],[f94]) ).
fof(f195,plain,
( spl13_3
| spl13_1 ),
inference(avatar_split_clause,[],[f134,f183,f191]) ).
fof(f134,plain,
( in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3))))
| in(sK5,relation_dom(sK4)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f194,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f135,f191,f187,f183]) ).
fof(f135,plain,
( ~ in(sK5,relation_dom(sK4))
| ~ in(apply(sK4,sK5),sK3)
| ~ in(sK5,relation_dom(relation_composition(sK4,identity_relation(sK3)))) ),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:36:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.48 % (2910)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)
% 0.21/0.50 % (2926)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)
% 0.21/0.50 % (2918)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (2918)Instruction limit reached!
% 0.21/0.51 % (2918)------------------------------
% 0.21/0.51 % (2918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2918)Termination reason: Unknown
% 0.21/0.51 % (2918)Termination phase: Property scanning
% 0.21/0.51
% 0.21/0.51 % (2918)Memory used [KB]: 1407
% 0.21/0.51 % (2918)Time elapsed: 0.005 s
% 0.21/0.51 % (2918)Instructions burned: 3 (million)
% 0.21/0.51 % (2918)------------------------------
% 0.21/0.51 % (2918)------------------------------
% 0.21/0.51 % (2903)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)
% 0.21/0.51 % (2903)Instruction limit reached!
% 0.21/0.51 % (2903)------------------------------
% 0.21/0.51 % (2903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2903)Termination reason: Unknown
% 0.21/0.51 % (2903)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (2903)Memory used [KB]: 1407
% 0.21/0.51 % (2903)Time elapsed: 0.003 s
% 0.21/0.51 % (2903)Instructions burned: 3 (million)
% 0.21/0.51 % (2903)------------------------------
% 0.21/0.51 % (2903)------------------------------
% 0.21/0.51 % (2915)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)
% 0.21/0.51 % (2915)Instruction limit reached!
% 0.21/0.51 % (2915)------------------------------
% 0.21/0.51 % (2915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2915)Termination reason: Unknown
% 0.21/0.51 % (2915)Termination phase: Property scanning
% 0.21/0.51
% 0.21/0.51 % (2915)Memory used [KB]: 1407
% 0.21/0.51 % (2915)Time elapsed: 0.002 s
% 0.21/0.51 % (2915)Instructions burned: 3 (million)
% 0.21/0.51 % (2915)------------------------------
% 0.21/0.51 % (2915)------------------------------
% 0.21/0.51 % (2920)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)
% 0.21/0.51 % (2913)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)
% 0.21/0.52 % (2914)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)
% 1.36/0.52 % (2912)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)
% 1.36/0.52 % (2912)Instruction limit reached!
% 1.36/0.52 % (2912)------------------------------
% 1.36/0.52 % (2912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52 % (2912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52 % (2912)Termination reason: Unknown
% 1.36/0.52 % (2912)Termination phase: Saturation
% 1.36/0.52
% 1.36/0.52 % (2912)Memory used [KB]: 6140
% 1.36/0.52 % (2912)Time elapsed: 0.129 s
% 1.36/0.52 % (2912)Instructions burned: 8 (million)
% 1.36/0.52 % (2912)------------------------------
% 1.36/0.52 % (2912)------------------------------
% 1.36/0.53 % (2902)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)
% 1.36/0.53 % (2910)Instruction limit reached!
% 1.36/0.53 % (2910)------------------------------
% 1.36/0.53 % (2910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (2910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (2910)Termination reason: Unknown
% 1.36/0.53 % (2910)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (2910)Memory used [KB]: 6524
% 1.36/0.53 % (2910)Time elapsed: 0.121 s
% 1.36/0.53 % (2910)Instructions burned: 33 (million)
% 1.36/0.53 % (2910)------------------------------
% 1.36/0.53 % (2910)------------------------------
% 1.36/0.53 % (2902)Refutation not found, incomplete strategy% (2902)------------------------------
% 1.36/0.53 % (2902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (2902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (2902)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.53
% 1.36/0.53 % (2902)Memory used [KB]: 6012
% 1.36/0.53 % (2902)Time elapsed: 0.131 s
% 1.36/0.53 % (2902)Instructions burned: 3 (million)
% 1.36/0.53 % (2902)------------------------------
% 1.36/0.53 % (2902)------------------------------
% 1.36/0.53 % (2905)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)
% 1.36/0.53 % (2929)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)
% 1.36/0.53 % (2901)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.36/0.53 % (2906)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)
% 1.36/0.53 % (2923)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)
% 1.36/0.53 % (2926)First to succeed.
% 1.36/0.53 % (2911)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)
% 1.36/0.53 % (2917)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)
% 1.36/0.54 % (2926)Refutation found. Thanks to Tanya!
% 1.36/0.54 % SZS status Theorem for theBenchmark
% 1.36/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.54 % (2926)------------------------------
% 1.36/0.54 % (2926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (2926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (2926)Termination reason: Refutation
% 1.36/0.54
% 1.36/0.54 % (2926)Memory used [KB]: 6396
% 1.36/0.54 % (2926)Time elapsed: 0.134 s
% 1.36/0.54 % (2926)Instructions burned: 29 (million)
% 1.36/0.54 % (2926)------------------------------
% 1.36/0.54 % (2926)------------------------------
% 1.36/0.54 % (2900)Success in time 0.186 s
%------------------------------------------------------------------------------