TSTP Solution File: SEU216+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU216+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:50:46 EDT 2024
% Result : Theorem 0.73s 0.79s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 150 ( 10 unt; 0 def)
% Number of atoms : 635 ( 174 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 820 ( 335 ~; 379 |; 78 &)
% ( 17 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 193 ( 167 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f818,plain,
$false,
inference(avatar_sat_refutation,[],[f177,f182,f186,f187,f655,f709,f748,f758,f777,f778,f805,f817]) ).
fof(f817,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f816,plain,
( $false
| ~ spl11_1
| spl11_2 ),
inference(subsumption_resolution,[],[f806,f172]) ).
fof(f172,plain,
( sK0 != relation_dom(sK1)
| spl11_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl11_2
<=> sK0 = relation_dom(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f806,plain,
( sK0 = relation_dom(sK1)
| ~ spl11_1 ),
inference(superposition,[],[f99,f167]) ).
fof(f167,plain,
( sK1 = identity_relation(sK0)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl11_1
<=> sK1 = identity_relation(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f99,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( relation_rng(identity_relation(X0)) = X0
& relation_dom(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.DRhyprvqr3/Vampire---4.8_20903',t71_relat_1) ).
fof(f805,plain,
( spl11_3
| ~ spl11_1
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f792,f179,f166,f174]) ).
fof(f174,plain,
( spl11_3
<=> sK2 = apply(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f179,plain,
( spl11_4
<=> in(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f792,plain,
( sK2 = apply(sK1,sK2)
| ~ spl11_1
| ~ spl11_4 ),
inference(backward_demodulation,[],[f412,f167]) ).
fof(f412,plain,
( sK2 = apply(identity_relation(sK0),sK2)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f411,f101]) ).
fof(f101,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( function(identity_relation(X0))
& relation(identity_relation(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.DRhyprvqr3/Vampire---4.8_20903',fc2_funct_1) ).
fof(f411,plain,
( sK2 = apply(identity_relation(sK0),sK2)
| ~ relation(identity_relation(sK0))
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f406,f102]) ).
fof(f102,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f406,plain,
( sK2 = apply(identity_relation(sK0),sK2)
| ~ function(identity_relation(sK0))
| ~ relation(identity_relation(sK0))
| ~ spl11_4 ),
inference(resolution,[],[f376,f197]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| apply(X2,X0) = X1
| ~ function(X2)
| ~ relation(X2) ),
inference(backward_demodulation,[],[f152,f142]) ).
fof(f142,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.DRhyprvqr3/Vampire---4.8_20903',commutativity_k2_tarski) ).
fof(f152,plain,
! [X2,X0,X1] :
( apply(X2,X0) = X1
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f111,f134]) ).
fof(f134,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/tmp/tmp.DRhyprvqr3/Vampire---4.8_20903',d5_tarski) ).
fof(f111,plain,
! [X2,X0,X1] :
( apply(X2,X0) = X1
| ~ in(ordered_pair(X0,X1),X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( ( in(ordered_pair(X0,X1),X2)
| apply(X2,X0) != X1
| ~ in(X0,relation_dom(X2)) )
& ( ( apply(X2,X0) = X1
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2) ) )
| ~ function(X2)
| ~ relation(X2) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( ( in(ordered_pair(X0,X1),X2)
| apply(X2,X0) != X1
| ~ in(X0,relation_dom(X2)) )
& ( ( apply(X2,X0) = X1
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2) ) )
| ~ function(X2)
| ~ relation(X2) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<=> ( apply(X2,X0) = X1
& in(X0,relation_dom(X2)) ) )
| ~ function(X2)
| ~ relation(X2) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<=> ( apply(X2,X0) = X1
& in(X0,relation_dom(X2)) ) )
| ~ function(X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( apply(X2,X0) = X1
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DRhyprvqr3/Vampire---4.8_20903',t8_funct_1) ).
fof(f376,plain,
( in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK2)),identity_relation(sK0))
| ~ spl11_4 ),
inference(resolution,[],[f181,f194]) ).
fof(f194,plain,
! [X0,X5] :
( ~ in(X5,X0)
| in(unordered_pair(singleton(X5),unordered_pair(X5,X5)),identity_relation(X0)) ),
inference(backward_demodulation,[],[f188,f142]) ).
fof(f188,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,X5),singleton(X5)),identity_relation(X0))
| ~ in(X5,X0) ),
inference(subsumption_resolution,[],[f158,f101]) ).
fof(f158,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,X5),singleton(X5)),identity_relation(X0))
| ~ in(X5,X0)
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,X5),singleton(X5)),X1)
| ~ in(X5,X0)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(equality_resolution,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)
| X4 != X5
| ~ in(X4,X0)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f106,f134]) ).
fof(f106,plain,
! [X0,X1,X4,X5] :
( in(ordered_pair(X4,X5),X1)
| X4 != X5
| ~ in(X4,X0)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ( ( sK3(X0,X1) != sK4(X0,X1)
| ~ in(sK3(X0,X1),X0)
| ~ in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X1) )
& ( ( sK3(X0,X1) = sK4(X0,X1)
& in(sK3(X0,X1),X0) )
| in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| X4 != X5
| ~ in(X4,X0) )
& ( ( X4 = X5
& in(X4,X0) )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( X2 != X3
| ~ in(X2,X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( X2 = X3
& in(X2,X0) )
| in(ordered_pair(X2,X3),X1) ) )
=> ( ( sK3(X0,X1) != sK4(X0,X1)
| ~ in(sK3(X0,X1),X0)
| ~ in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X1) )
& ( ( sK3(X0,X1) = sK4(X0,X1)
& in(sK3(X0,X1),X0) )
| in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2,X3] :
( ( X2 != X3
| ~ in(X2,X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( X2 = X3
& in(X2,X0) )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| X4 != X5
| ~ in(X4,X0) )
& ( ( X4 = X5
& in(X4,X0) )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2,X3] :
( ( X2 != X3
| ~ in(X2,X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( X2 = X3
& in(X2,X0) )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| X2 != X3
| ~ in(X2,X0) )
& ( ( X2 = X3
& in(X2,X0) )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2,X3] :
( ( X2 != X3
| ~ in(X2,X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( X2 = X3
& in(X2,X0) )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| X2 != X3
| ~ in(X2,X0) )
& ( ( X2 = X3
& in(X2,X0) )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( X2 = X3
& in(X2,X0) ) ) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( relation(X1)
=> ( identity_relation(X0) = X1
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( X2 = X3
& in(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DRhyprvqr3/Vampire---4.8_20903',d10_relat_1) ).
fof(f181,plain,
( in(sK2,sK0)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f778,plain,
( spl11_11
| spl11_1
| spl11_12
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f631,f170,f324,f166,f320]) ).
fof(f320,plain,
( spl11_11
<=> in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),apply(sK1,sK3(sK0,sK1)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f324,plain,
( spl11_12
<=> in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f631,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1)
| sK1 = identity_relation(sK0)
| in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),apply(sK1,sK3(sK0,sK1)))),sK1)
| ~ spl11_2 ),
inference(resolution,[],[f281,f90]) ).
fof(f90,plain,
relation(sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( ( sK2 != apply(sK1,sK2)
& in(sK2,sK0) )
| sK0 != relation_dom(sK1)
| sK1 != identity_relation(sK0) )
& ( ( ! [X3] :
( apply(sK1,X3) = X3
| ~ in(X3,sK0) )
& sK0 = relation_dom(sK1) )
| sK1 = identity_relation(sK0) )
& function(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f66,f68,f67]) ).
fof(f67,plain,
( ? [X0,X1] :
( ( ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0
| identity_relation(X0) != X1 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) = X1 )
& function(X1)
& relation(X1) )
=> ( ( ? [X2] :
( apply(sK1,X2) != X2
& in(X2,sK0) )
| sK0 != relation_dom(sK1)
| sK1 != identity_relation(sK0) )
& ( ( ! [X3] :
( apply(sK1,X3) = X3
| ~ in(X3,sK0) )
& sK0 = relation_dom(sK1) )
| sK1 = identity_relation(sK0) )
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X2] :
( apply(sK1,X2) != X2
& in(X2,sK0) )
=> ( sK2 != apply(sK1,sK2)
& in(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
? [X0,X1] :
( ( ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0
| identity_relation(X0) != X1 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) = X1 )
& function(X1)
& relation(X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X0,X1] :
( ( ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0
| identity_relation(X0) != X1 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) = X1 )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X0,X1] :
( ( ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0
| identity_relation(X0) != X1 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) = X1 )
& function(X1)
& relation(X1) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
? [X0,X1] :
( ( identity_relation(X0) = X1
<~> ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 ) )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0,X1] :
( ( identity_relation(X0) = X1
<~> ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 ) )
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( identity_relation(X0) = X1
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( identity_relation(X0) = X1
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DRhyprvqr3/Vampire---4.8_20903',t34_funct_1) ).
fof(f281,plain,
( ! [X0] :
( ~ relation(X0)
| in(unordered_pair(singleton(sK3(sK0,X0)),unordered_pair(sK3(sK0,X0),sK4(sK0,X0))),X0)
| identity_relation(sK0) = X0
| in(unordered_pair(singleton(sK3(sK0,X0)),unordered_pair(sK3(sK0,X0),apply(sK1,sK3(sK0,X0)))),sK1) )
| ~ spl11_2 ),
inference(resolution,[],[f191,f276]) ).
fof(f276,plain,
( ! [X0] :
( ~ in(X0,sK0)
| in(unordered_pair(singleton(X0),unordered_pair(X0,apply(sK1,X0))),sK1) )
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f275,f90]) ).
fof(f275,plain,
( ! [X0] :
( ~ in(X0,sK0)
| in(unordered_pair(singleton(X0),unordered_pair(X0,apply(sK1,X0))),sK1)
| ~ relation(sK1) )
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f272,f91]) ).
fof(f91,plain,
function(sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f272,plain,
( ! [X0] :
( ~ in(X0,sK0)
| in(unordered_pair(singleton(X0),unordered_pair(X0,apply(sK1,X0))),sK1)
| ~ function(sK1)
| ~ relation(sK1) )
| ~ spl11_2 ),
inference(superposition,[],[f200,f171]) ).
fof(f171,plain,
( sK0 = relation_dom(sK1)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f200,plain,
! [X2,X0] :
( ~ in(X0,relation_dom(X2))
| in(unordered_pair(singleton(X0),unordered_pair(X0,apply(X2,X0))),X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(backward_demodulation,[],[f161,f142]) ).
fof(f161,plain,
! [X2,X0] :
( in(unordered_pair(unordered_pair(X0,apply(X2,X0)),singleton(X0)),X2)
| ~ in(X0,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| apply(X2,X0) != X1
| ~ in(X0,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f112,f134]) ).
fof(f112,plain,
! [X2,X0,X1] :
( in(ordered_pair(X0,X1),X2)
| apply(X2,X0) != X1
| ~ in(X0,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f191,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| identity_relation(X0) = X1
| in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK4(X0,X1))),X1)
| ~ relation(X1) ),
inference(backward_demodulation,[],[f147,f142]) ).
fof(f147,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| in(sK3(X0,X1),X0)
| in(unordered_pair(unordered_pair(sK3(X0,X1),sK4(X0,X1)),singleton(sK3(X0,X1))),X1)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f107,f134]) ).
fof(f107,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| in(sK3(X0,X1),X0)
| in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f777,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_12
| spl11_23 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f776,plain,
( $false
| ~ spl11_2
| ~ spl11_5
| ~ spl11_12
| spl11_23 ),
inference(subsumption_resolution,[],[f772,f653]) ).
fof(f653,plain,
( ~ in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| spl11_23 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f652,plain,
( spl11_23
<=> in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f772,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_12 ),
inference(backward_demodulation,[],[f326,f771]) ).
fof(f771,plain,
( sK3(sK0,sK1) = sK4(sK0,sK1)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_12 ),
inference(backward_demodulation,[],[f729,f765]) ).
fof(f765,plain,
( sK3(sK0,sK1) = apply(sK1,sK3(sK0,sK1))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_12 ),
inference(resolution,[],[f733,f185]) ).
fof(f185,plain,
( ! [X3] :
( ~ in(X3,sK0)
| apply(sK1,X3) = X3 )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl11_5
<=> ! [X3] :
( apply(sK1,X3) = X3
| ~ in(X3,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f733,plain,
( in(sK3(sK0,sK1),sK0)
| ~ spl11_2
| ~ spl11_12 ),
inference(forward_demodulation,[],[f732,f171]) ).
fof(f732,plain,
( in(sK3(sK0,sK1),relation_dom(sK1))
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f731,f90]) ).
fof(f731,plain,
( in(sK3(sK0,sK1),relation_dom(sK1))
| ~ relation(sK1)
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f720,f91]) ).
fof(f720,plain,
( in(sK3(sK0,sK1),relation_dom(sK1))
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl11_12 ),
inference(resolution,[],[f326,f196]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(X0,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
inference(backward_demodulation,[],[f153,f142]) ).
fof(f153,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f110,f134]) ).
fof(f110,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f729,plain,
( sK4(sK0,sK1) = apply(sK1,sK3(sK0,sK1))
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f728,f90]) ).
fof(f728,plain,
( sK4(sK0,sK1) = apply(sK1,sK3(sK0,sK1))
| ~ relation(sK1)
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f719,f91]) ).
fof(f719,plain,
( sK4(sK0,sK1) = apply(sK1,sK3(sK0,sK1))
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl11_12 ),
inference(resolution,[],[f326,f197]) ).
fof(f326,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1)
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f758,plain,
( spl11_11
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f757,plain,
( $false
| spl11_11
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f756,f654]) ).
fof(f654,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f756,plain,
( ~ in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f321,f701]) ).
fof(f701,plain,
( sK3(sK0,sK1) = apply(sK1,sK3(sK0,sK1))
| ~ spl11_23 ),
inference(resolution,[],[f654,f526]) ).
fof(f526,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),sK1)
| apply(sK1,X0) = X1 ),
inference(subsumption_resolution,[],[f522,f90]) ).
fof(f522,plain,
! [X0,X1] :
( apply(sK1,X0) = X1
| ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f267,f91]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ function(X2)
| apply(X2,X0) = X1
| ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),X2)
| ~ relation(X2) ),
inference(superposition,[],[f197,f142]) ).
fof(f321,plain,
( ~ in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),apply(sK1,sK3(sK0,sK1)))),sK1)
| spl11_11 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f748,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f746,f90]) ).
fof(f746,plain,
( ~ relation(sK1)
| spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f745,f637]) ).
fof(f637,plain,
( in(sK3(sK0,sK1),sK0)
| ~ spl11_2
| ~ spl11_11 ),
inference(resolution,[],[f322,f517]) ).
fof(f517,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),sK1)
| in(X1,sK0) )
| ~ spl11_2 ),
inference(superposition,[],[f513,f142]) ).
fof(f513,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),sK1)
| in(X0,sK0) )
| ~ spl11_2 ),
inference(forward_demodulation,[],[f512,f171]) ).
fof(f512,plain,
! [X0,X1] :
( in(X0,relation_dom(sK1))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),sK1) ),
inference(subsumption_resolution,[],[f506,f90]) ).
fof(f506,plain,
! [X0,X1] :
( in(X0,relation_dom(sK1))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f262,f91]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ function(X2)
| in(X0,relation_dom(X2))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),X2)
| ~ relation(X2) ),
inference(superposition,[],[f196,f142]) ).
fof(f322,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),apply(sK1,sK3(sK0,sK1)))),sK1)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f745,plain,
( ~ in(sK3(sK0,sK1),sK0)
| ~ relation(sK1)
| spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f744,f654]) ).
fof(f744,plain,
( ~ in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| ~ in(sK3(sK0,sK1),sK0)
| ~ relation(sK1)
| spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f743,f168]) ).
fof(f168,plain,
( sK1 != identity_relation(sK0)
| spl11_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f743,plain,
( sK1 = identity_relation(sK0)
| ~ in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| ~ in(sK3(sK0,sK1),sK0)
| ~ relation(sK1)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f742]) ).
fof(f742,plain,
( sK3(sK0,sK1) != sK3(sK0,sK1)
| sK1 = identity_relation(sK0)
| ~ in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| ~ in(sK3(sK0,sK1),sK0)
| ~ relation(sK1)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f193,f726]) ).
fof(f726,plain,
( sK3(sK0,sK1) = sK4(sK0,sK1)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f717,f666]) ).
fof(f666,plain,
( sK3(sK0,sK1) = apply(sK1,sK3(sK0,sK1))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11 ),
inference(resolution,[],[f637,f185]) ).
fof(f717,plain,
( sK4(sK0,sK1) = apply(sK1,sK3(sK0,sK1))
| ~ spl11_12 ),
inference(resolution,[],[f326,f538]) ).
fof(f538,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),sK1)
| apply(sK1,X1) = X0 ),
inference(superposition,[],[f526,f142]) ).
fof(f193,plain,
! [X0,X1] :
( sK3(X0,X1) != sK4(X0,X1)
| identity_relation(X0) = X1
| ~ in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK4(X0,X1))),X1)
| ~ in(sK3(X0,X1),X0)
| ~ relation(X1) ),
inference(backward_demodulation,[],[f145,f142]) ).
fof(f145,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| sK3(X0,X1) != sK4(X0,X1)
| ~ in(sK3(X0,X1),X0)
| ~ in(unordered_pair(unordered_pair(sK3(X0,X1),sK4(X0,X1)),singleton(sK3(X0,X1))),X1)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f109,f134]) ).
fof(f109,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| sK3(X0,X1) != sK4(X0,X1)
| ~ in(sK3(X0,X1),X0)
| ~ in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f709,plain,
( spl11_12
| spl11_1
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f708,f652,f166,f324]) ).
fof(f708,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1)
| spl11_1
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f707,f90]) ).
fof(f707,plain,
( ~ relation(sK1)
| in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1)
| spl11_1
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f696,f168]) ).
fof(f696,plain,
( sK1 = identity_relation(sK0)
| ~ relation(sK1)
| in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1)
| ~ spl11_23 ),
inference(resolution,[],[f654,f395]) ).
fof(f395,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK3(X0,X1))),X1)
| identity_relation(X0) = X1
| ~ relation(X1)
| in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK4(X0,X1))),X1) ),
inference(subsumption_resolution,[],[f394,f191]) ).
fof(f394,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| ~ in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK3(X0,X1))),X1)
| ~ in(sK3(X0,X1),X0)
| ~ relation(X1)
| in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK4(X0,X1))),X1) ),
inference(trivial_inequality_removal,[],[f393]) ).
fof(f393,plain,
! [X0,X1] :
( sK3(X0,X1) != sK3(X0,X1)
| identity_relation(X0) = X1
| ~ in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK3(X0,X1))),X1)
| ~ in(sK3(X0,X1),X0)
| ~ relation(X1)
| in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK4(X0,X1))),X1) ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f392,plain,
! [X0,X1] :
( sK3(X0,X1) != sK3(X0,X1)
| identity_relation(X0) = X1
| ~ in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK3(X0,X1))),X1)
| ~ in(sK3(X0,X1),X0)
| ~ relation(X1)
| identity_relation(X0) = X1
| in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK4(X0,X1))),X1)
| ~ relation(X1) ),
inference(superposition,[],[f193,f192]) ).
fof(f192,plain,
! [X0,X1] :
( sK3(X0,X1) = sK4(X0,X1)
| identity_relation(X0) = X1
| in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK4(X0,X1))),X1)
| ~ relation(X1) ),
inference(backward_demodulation,[],[f146,f142]) ).
fof(f146,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| sK3(X0,X1) = sK4(X0,X1)
| in(unordered_pair(unordered_pair(sK3(X0,X1),sK4(X0,X1)),singleton(sK3(X0,X1))),X1)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f108,f134]) ).
fof(f108,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| sK3(X0,X1) = sK4(X0,X1)
| in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f655,plain,
( spl11_12
| spl11_23
| spl11_1
| ~ spl11_5
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f650,f320,f184,f166,f652,f324]) ).
fof(f650,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1)
| spl11_1
| ~ spl11_5
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f649,f168]) ).
fof(f649,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1)
| sK1 = identity_relation(sK0)
| ~ spl11_5
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f644,f90]) ).
fof(f644,plain,
( in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK3(sK0,sK1))),sK1)
| in(unordered_pair(singleton(sK3(sK0,sK1)),unordered_pair(sK3(sK0,sK1),sK4(sK0,sK1))),sK1)
| ~ relation(sK1)
| sK1 = identity_relation(sK0)
| ~ spl11_5
| ~ spl11_11 ),
inference(superposition,[],[f322,f282]) ).
fof(f282,plain,
( ! [X0] :
( sK3(sK0,X0) = apply(sK1,sK3(sK0,X0))
| in(unordered_pair(singleton(sK3(sK0,X0)),unordered_pair(sK3(sK0,X0),sK4(sK0,X0))),X0)
| ~ relation(X0)
| identity_relation(sK0) = X0 )
| ~ spl11_5 ),
inference(resolution,[],[f191,f185]) ).
fof(f187,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f92,f170,f166]) ).
fof(f92,plain,
( sK0 = relation_dom(sK1)
| sK1 = identity_relation(sK0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f186,plain,
( spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f93,f184,f166]) ).
fof(f93,plain,
! [X3] :
( apply(sK1,X3) = X3
| ~ in(X3,sK0)
| sK1 = identity_relation(sK0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f182,plain,
( ~ spl11_1
| ~ spl11_2
| spl11_4 ),
inference(avatar_split_clause,[],[f94,f179,f170,f166]) ).
fof(f94,plain,
( in(sK2,sK0)
| sK0 != relation_dom(sK1)
| sK1 != identity_relation(sK0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f177,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f95,f174,f170,f166]) ).
fof(f95,plain,
( sK2 != apply(sK1,sK2)
| sK0 != relation_dom(sK1)
| sK1 != identity_relation(sK0) ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU216+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 16:32:49 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.DRhyprvqr3/Vampire---4.8_20903
% 0.57/0.75 % (21238)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (21231)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (21233)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (21234)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (21232)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75 % (21235)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (21236)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (21237)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (21238)Refutation not found, incomplete strategy% (21238)------------------------------
% 0.57/0.75 % (21238)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21238)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21238)Memory used [KB]: 1057
% 0.57/0.75 % (21238)Time elapsed: 0.003 s
% 0.57/0.75 % (21238)Instructions burned: 4 (million)
% 0.57/0.75 % (21238)------------------------------
% 0.57/0.75 % (21238)------------------------------
% 0.57/0.75 % (21236)Refutation not found, incomplete strategy% (21236)------------------------------
% 0.57/0.75 % (21236)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21235)Refutation not found, incomplete strategy% (21235)------------------------------
% 0.57/0.75 % (21235)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21235)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21235)Memory used [KB]: 1085
% 0.57/0.75 % (21235)Time elapsed: 0.005 s
% 0.57/0.75 % (21235)Instructions burned: 5 (million)
% 0.57/0.75 % (21235)------------------------------
% 0.57/0.75 % (21235)------------------------------
% 0.57/0.75 % (21236)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21236)Memory used [KB]: 1081
% 0.57/0.75 % (21236)Time elapsed: 0.005 s
% 0.57/0.75 % (21242)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75 % (21236)Instructions burned: 5 (million)
% 0.57/0.75 % (21236)------------------------------
% 0.57/0.75 % (21236)------------------------------
% 0.57/0.76 % (21245)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.76 % (21247)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.77 % (21231)Instruction limit reached!
% 0.57/0.77 % (21231)------------------------------
% 0.57/0.77 % (21231)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (21231)Termination reason: Unknown
% 0.57/0.77 % (21231)Termination phase: Saturation
% 0.57/0.77
% 0.57/0.77 % (21231)Memory used [KB]: 1709
% 0.57/0.77 % (21231)Time elapsed: 0.017 s
% 0.57/0.77 % (21231)Instructions burned: 34 (million)
% 0.57/0.77 % (21231)------------------------------
% 0.57/0.77 % (21231)------------------------------
% 0.57/0.77 % (21234)Instruction limit reached!
% 0.57/0.77 % (21234)------------------------------
% 0.57/0.77 % (21234)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (21234)Termination reason: Unknown
% 0.57/0.77 % (21234)Termination phase: Saturation
% 0.57/0.77
% 0.57/0.77 % (21234)Memory used [KB]: 1446
% 0.57/0.77 % (21234)Time elapsed: 0.021 s
% 0.57/0.77 % (21234)Instructions burned: 34 (million)
% 0.57/0.77 % (21234)------------------------------
% 0.57/0.77 % (21234)------------------------------
% 0.57/0.77 % (21250)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.77 % (21242)Instruction limit reached!
% 0.57/0.77 % (21242)------------------------------
% 0.57/0.77 % (21242)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (21242)Termination reason: Unknown
% 0.57/0.77 % (21242)Termination phase: Saturation
% 0.57/0.77
% 0.57/0.77 % (21242)Memory used [KB]: 1828
% 0.57/0.77 % (21242)Time elapsed: 0.019 s
% 0.57/0.77 % (21242)Instructions burned: 56 (million)
% 0.57/0.77 % (21242)------------------------------
% 0.57/0.77 % (21242)------------------------------
% 0.57/0.77 % (21253)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.77 % (21255)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.78 % (21255)Refutation not found, incomplete strategy% (21255)------------------------------
% 0.57/0.78 % (21255)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78 % (21255)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (21255)Memory used [KB]: 1086
% 0.57/0.78 % (21255)Time elapsed: 0.002 s
% 0.57/0.78 % (21255)Instructions burned: 5 (million)
% 0.57/0.78 % (21255)------------------------------
% 0.57/0.78 % (21255)------------------------------
% 0.57/0.78 % (21253)Refutation not found, incomplete strategy% (21253)------------------------------
% 0.57/0.78 % (21253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78 % (21253)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (21253)Memory used [KB]: 1142
% 0.57/0.78 % (21253)Time elapsed: 0.007 s
% 0.57/0.78 % (21253)Instructions burned: 7 (million)
% 0.57/0.78 % (21253)------------------------------
% 0.57/0.78 % (21253)------------------------------
% 0.57/0.78 % (21258)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.57/0.78 % (21232)Instruction limit reached!
% 0.57/0.78 % (21232)------------------------------
% 0.57/0.78 % (21232)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78 % (21232)Termination reason: Unknown
% 0.57/0.78 % (21232)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (21232)Memory used [KB]: 1490
% 0.57/0.78 % (21232)Time elapsed: 0.033 s
% 0.57/0.78 % (21232)Instructions burned: 52 (million)
% 0.57/0.78 % (21232)------------------------------
% 0.57/0.78 % (21232)------------------------------
% 0.57/0.78 % (21233)First to succeed.
% 0.57/0.78 % (21260)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.57/0.79 % (21261)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.73/0.79 % (21233)Refutation found. Thanks to Tanya!
% 0.73/0.79 % SZS status Theorem for Vampire---4
% 0.73/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.79 % (21233)------------------------------
% 0.73/0.79 % (21233)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.79 % (21233)Termination reason: Refutation
% 0.73/0.79
% 0.73/0.79 % (21233)Memory used [KB]: 1369
% 0.73/0.79 % (21233)Time elapsed: 0.036 s
% 0.73/0.79 % (21233)Instructions burned: 58 (million)
% 0.73/0.79 % (21233)------------------------------
% 0.73/0.79 % (21233)------------------------------
% 0.73/0.79 % (21093)Success in time 0.41 s
% 0.73/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------