TSTP Solution File: SEU014+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU014+1 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:19:57 EDT 2024
% Result : Theorem 0.63s 0.79s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 102 ( 15 unt; 0 def)
% Number of atoms : 423 ( 73 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 547 ( 226 ~; 220 |; 74 &)
% ( 8 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 95 ( 81 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1097,plain,
$false,
inference(avatar_sat_refutation,[],[f582,f612,f973,f1011,f1023,f1096]) ).
fof(f1096,plain,
~ spl13_29,
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| ~ spl13_29 ),
inference(subsumption_resolution,[],[f1094,f105]) ).
fof(f105,plain,
relation(sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ~ one_to_one(sK1)
& subset(relation_rng(sK1),relation_dom(sK0))
& one_to_one(relation_composition(sK1,sK0))
& function(sK1)
& relation(sK1)
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f78,f77]) ).
fof(f77,plain,
( ? [X0] :
( ? [X1] :
( ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0))
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) )
=> ( ? [X1] :
( ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(sK0))
& one_to_one(relation_composition(X1,sK0))
& function(X1)
& relation(X1) )
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X1] :
( ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(sK0))
& one_to_one(relation_composition(X1,sK0))
& function(X1)
& relation(X1) )
=> ( ~ one_to_one(sK1)
& subset(relation_rng(sK1),relation_dom(sK0))
& one_to_one(relation_composition(sK1,sK0))
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0))
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0))
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0)) )
=> one_to_one(X1) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0)) )
=> one_to_one(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.E94J6d4KzJ/Vampire---4.8_4057',t47_funct_1) ).
fof(f1094,plain,
( ~ relation(sK1)
| ~ spl13_29 ),
inference(subsumption_resolution,[],[f1093,f106]) ).
fof(f106,plain,
function(sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f1093,plain,
( ~ function(sK1)
| ~ relation(sK1)
| ~ spl13_29 ),
inference(subsumption_resolution,[],[f1088,f109]) ).
fof(f109,plain,
~ one_to_one(sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f1088,plain,
( one_to_one(sK1)
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl13_29 ),
inference(trivial_inequality_removal,[],[f1087]) ).
fof(f1087,plain,
( sK2(sK1) != sK2(sK1)
| one_to_one(sK1)
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl13_29 ),
inference(superposition,[],[f119,f1007]) ).
fof(f1007,plain,
( sK2(sK1) = sK3(sK1)
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1006,plain,
( spl13_29
<=> sK2(sK1) = sK3(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f119,plain,
! [X0] :
( sK2(X0) != sK3(X0)
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK2(X0) != sK3(X0)
& apply(X0,sK2(X0)) = apply(X0,sK3(X0))
& in(sK3(X0),relation_dom(X0))
& in(sK2(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f81,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK2(X0) != sK3(X0)
& apply(X0,sK2(X0)) = apply(X0,sK3(X0))
& in(sK3(X0),relation_dom(X0))
& in(sK2(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.E94J6d4KzJ/Vampire---4.8_4057',d8_funct_1) ).
fof(f1023,plain,
spl13_30,
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1022,plain,
( $false
| spl13_30 ),
inference(subsumption_resolution,[],[f1021,f105]) ).
fof(f1021,plain,
( ~ relation(sK1)
| spl13_30 ),
inference(subsumption_resolution,[],[f1020,f106]) ).
fof(f1020,plain,
( ~ function(sK1)
| ~ relation(sK1)
| spl13_30 ),
inference(subsumption_resolution,[],[f1019,f109]) ).
fof(f1019,plain,
( one_to_one(sK1)
| ~ function(sK1)
| ~ relation(sK1)
| spl13_30 ),
inference(trivial_inequality_removal,[],[f1018]) ).
fof(f1018,plain,
( apply(sK0,apply(sK1,sK2(sK1))) != apply(sK0,apply(sK1,sK2(sK1)))
| one_to_one(sK1)
| ~ function(sK1)
| ~ relation(sK1)
| spl13_30 ),
inference(superposition,[],[f1010,f118]) ).
fof(f118,plain,
! [X0] :
( apply(X0,sK2(X0)) = apply(X0,sK3(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f1010,plain,
( apply(sK0,apply(sK1,sK2(sK1))) != apply(sK0,apply(sK1,sK3(sK1)))
| spl13_30 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl13_30
<=> apply(sK0,apply(sK1,sK2(sK1))) = apply(sK0,apply(sK1,sK3(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f1011,plain,
( spl13_29
| ~ spl13_30
| ~ spl13_25 ),
inference(avatar_split_clause,[],[f1004,f971,f1009,f1006]) ).
fof(f971,plain,
( spl13_25
<=> ! [X0] :
( sK2(sK1) = X0
| ~ in(X0,relation_dom(sK1))
| apply(relation_composition(sK1,sK0),X0) != apply(sK0,apply(sK1,sK2(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f1004,plain,
( apply(sK0,apply(sK1,sK2(sK1))) != apply(sK0,apply(sK1,sK3(sK1)))
| sK2(sK1) = sK3(sK1)
| ~ spl13_25 ),
inference(subsumption_resolution,[],[f1003,f103]) ).
fof(f103,plain,
relation(sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f1003,plain,
( apply(sK0,apply(sK1,sK2(sK1))) != apply(sK0,apply(sK1,sK3(sK1)))
| sK2(sK1) = sK3(sK1)
| ~ relation(sK0)
| ~ spl13_25 ),
inference(subsumption_resolution,[],[f1002,f104]) ).
fof(f104,plain,
function(sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f1002,plain,
( apply(sK0,apply(sK1,sK2(sK1))) != apply(sK0,apply(sK1,sK3(sK1)))
| sK2(sK1) = sK3(sK1)
| ~ function(sK0)
| ~ relation(sK0)
| ~ spl13_25 ),
inference(subsumption_resolution,[],[f989,f474]) ).
fof(f474,plain,
in(sK3(sK1),relation_dom(sK1)),
inference(subsumption_resolution,[],[f473,f105]) ).
fof(f473,plain,
( in(sK3(sK1),relation_dom(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f472,f106]) ).
fof(f472,plain,
( in(sK3(sK1),relation_dom(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f117,f109]) ).
fof(f117,plain,
! [X0] :
( one_to_one(X0)
| in(sK3(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f989,plain,
( apply(sK0,apply(sK1,sK2(sK1))) != apply(sK0,apply(sK1,sK3(sK1)))
| ~ in(sK3(sK1),relation_dom(sK1))
| sK2(sK1) = sK3(sK1)
| ~ function(sK0)
| ~ relation(sK0)
| ~ spl13_25 ),
inference(superposition,[],[f972,f598]) ).
fof(f598,plain,
! [X0] :
( apply(relation_composition(sK1,X0),sK3(sK1)) = apply(X0,apply(sK1,sK3(sK1)))
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f597,f105]) ).
fof(f597,plain,
! [X0] :
( apply(relation_composition(sK1,X0),sK3(sK1)) = apply(X0,apply(sK1,sK3(sK1)))
| ~ function(X0)
| ~ relation(X0)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f592,f106]) ).
fof(f592,plain,
! [X0] :
( apply(relation_composition(sK1,X0),sK3(sK1)) = apply(X0,apply(sK1,sK3(sK1)))
| ~ function(X0)
| ~ relation(X0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f111,f474]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.E94J6d4KzJ/Vampire---4.8_4057',t23_funct_1) ).
fof(f972,plain,
( ! [X0] :
( apply(relation_composition(sK1,sK0),X0) != apply(sK0,apply(sK1,sK2(sK1)))
| ~ in(X0,relation_dom(sK1))
| sK2(sK1) = X0 )
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f973,plain,
( ~ spl13_1
| ~ spl13_10
| spl13_25 ),
inference(avatar_split_clause,[],[f969,f971,f600,f532]) ).
fof(f532,plain,
( spl13_1
<=> relation(relation_composition(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f600,plain,
( spl13_10
<=> function(relation_composition(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f969,plain,
! [X0] :
( sK2(sK1) = X0
| apply(relation_composition(sK1,sK0),X0) != apply(sK0,apply(sK1,sK2(sK1)))
| ~ in(X0,relation_dom(sK1))
| ~ function(relation_composition(sK1,sK0))
| ~ relation(relation_composition(sK1,sK0)) ),
inference(subsumption_resolution,[],[f968,f103]) ).
fof(f968,plain,
! [X0] :
( sK2(sK1) = X0
| apply(relation_composition(sK1,sK0),X0) != apply(sK0,apply(sK1,sK2(sK1)))
| ~ in(X0,relation_dom(sK1))
| ~ function(relation_composition(sK1,sK0))
| ~ relation(relation_composition(sK1,sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f967,f104]) ).
fof(f967,plain,
! [X0] :
( sK2(sK1) = X0
| apply(relation_composition(sK1,sK0),X0) != apply(sK0,apply(sK1,sK2(sK1)))
| ~ in(X0,relation_dom(sK1))
| ~ function(relation_composition(sK1,sK0))
| ~ relation(relation_composition(sK1,sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f966,f107]) ).
fof(f107,plain,
one_to_one(relation_composition(sK1,sK0)),
inference(cnf_transformation,[],[f79]) ).
fof(f966,plain,
! [X0] :
( sK2(sK1) = X0
| apply(relation_composition(sK1,sK0),X0) != apply(sK0,apply(sK1,sK2(sK1)))
| ~ in(X0,relation_dom(sK1))
| ~ one_to_one(relation_composition(sK1,sK0))
| ~ function(relation_composition(sK1,sK0))
| ~ relation(relation_composition(sK1,sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f962,f471]) ).
fof(f471,plain,
in(sK2(sK1),relation_dom(sK1)),
inference(subsumption_resolution,[],[f470,f105]) ).
fof(f470,plain,
( in(sK2(sK1),relation_dom(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f469,f106]) ).
fof(f469,plain,
( in(sK2(sK1),relation_dom(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f116,f109]) ).
fof(f116,plain,
! [X0] :
( one_to_one(X0)
| in(sK2(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f962,plain,
! [X0] :
( ~ in(sK2(sK1),relation_dom(sK1))
| sK2(sK1) = X0
| apply(relation_composition(sK1,sK0),X0) != apply(sK0,apply(sK1,sK2(sK1)))
| ~ in(X0,relation_dom(sK1))
| ~ one_to_one(relation_composition(sK1,sK0))
| ~ function(relation_composition(sK1,sK0))
| ~ relation(relation_composition(sK1,sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f757,f517]) ).
fof(f517,plain,
relation_dom(sK1) = relation_dom(relation_composition(sK1,sK0)),
inference(subsumption_resolution,[],[f516,f105]) ).
fof(f516,plain,
( relation_dom(sK1) = relation_dom(relation_composition(sK1,sK0))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f512,f103]) ).
fof(f512,plain,
( relation_dom(sK1) = relation_dom(relation_composition(sK1,sK0))
| ~ relation(sK0)
| ~ relation(sK1) ),
inference(resolution,[],[f110,f108]) ).
fof(f108,plain,
subset(relation_rng(sK1),relation_dom(sK0)),
inference(cnf_transformation,[],[f79]) ).
fof(f110,plain,
! [X0,X1] :
( ~ subset(relation_rng(X0),relation_dom(X1))
| relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(X0) = relation_dom(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.E94J6d4KzJ/Vampire---4.8_4057',t46_relat_1) ).
fof(f757,plain,
! [X0,X1] :
( ~ in(sK2(sK1),relation_dom(relation_composition(sK1,X0)))
| sK2(sK1) = X1
| apply(X0,apply(sK1,sK2(sK1))) != apply(relation_composition(sK1,X0),X1)
| ~ in(X1,relation_dom(relation_composition(sK1,X0)))
| ~ one_to_one(relation_composition(sK1,X0))
| ~ function(relation_composition(sK1,X0))
| ~ relation(relation_composition(sK1,X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(superposition,[],[f115,f596]) ).
fof(f596,plain,
! [X0] :
( apply(relation_composition(sK1,X0),sK2(sK1)) = apply(X0,apply(sK1,sK2(sK1)))
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f595,f105]) ).
fof(f595,plain,
! [X0] :
( apply(relation_composition(sK1,X0),sK2(sK1)) = apply(X0,apply(sK1,sK2(sK1)))
| ~ function(X0)
| ~ relation(X0)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f591,f106]) ).
fof(f591,plain,
! [X0] :
( apply(relation_composition(sK1,X0),sK2(sK1)) = apply(X0,apply(sK1,sK2(sK1)))
| ~ function(X0)
| ~ relation(X0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f111,f471]) ).
fof(f115,plain,
! [X3,X0,X4] :
( apply(X0,X3) != apply(X0,X4)
| X3 = X4
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f612,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| spl13_10 ),
inference(subsumption_resolution,[],[f610,f105]) ).
fof(f610,plain,
( ~ relation(sK1)
| spl13_10 ),
inference(subsumption_resolution,[],[f609,f106]) ).
fof(f609,plain,
( ~ function(sK1)
| ~ relation(sK1)
| spl13_10 ),
inference(subsumption_resolution,[],[f608,f103]) ).
fof(f608,plain,
( ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1)
| spl13_10 ),
inference(subsumption_resolution,[],[f606,f104]) ).
fof(f606,plain,
( ~ function(sK0)
| ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1)
| spl13_10 ),
inference(resolution,[],[f601,f123]) ).
fof(f123,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1)
& function(X0)
& relation(X0) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.E94J6d4KzJ/Vampire---4.8_4057',fc1_funct_1) ).
fof(f601,plain,
( ~ function(relation_composition(sK1,sK0))
| spl13_10 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f582,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| spl13_1 ),
inference(subsumption_resolution,[],[f580,f105]) ).
fof(f580,plain,
( ~ relation(sK1)
| spl13_1 ),
inference(subsumption_resolution,[],[f571,f103]) ).
fof(f571,plain,
( ~ relation(sK0)
| ~ relation(sK1)
| spl13_1 ),
inference(resolution,[],[f533,f126]) ).
fof(f126,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.E94J6d4KzJ/Vampire---4.8_4057',dt_k5_relat_1) ).
fof(f533,plain,
( ~ relation(relation_composition(sK1,sK0))
| spl13_1 ),
inference(avatar_component_clause,[],[f532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SEU014+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.15 % 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 10:57:11 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.E94J6d4KzJ/Vampire---4.8_4057
% 0.56/0.75 % (4436)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)
% 0.56/0.75 % (4428)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)
% 0.56/0.75 % (4430)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (4429)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)
% 0.56/0.75 % (4431)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)
% 0.56/0.75 % (4432)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)
% 0.56/0.75 % (4433)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)
% 0.56/0.75 % (4435)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)
% 0.56/0.75 % (4436)Refutation not found, incomplete strategy% (4436)------------------------------
% 0.56/0.75 % (4436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4436)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4436)Memory used [KB]: 1054
% 0.56/0.75 % (4436)Time elapsed: 0.002 s
% 0.56/0.75 % (4436)Instructions burned: 4 (million)
% 0.56/0.75 % (4436)------------------------------
% 0.56/0.75 % (4436)------------------------------
% 0.56/0.75 % (4433)Refutation not found, incomplete strategy% (4433)------------------------------
% 0.56/0.75 % (4433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4433)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4433)Memory used [KB]: 1036
% 0.56/0.75 % (4433)Time elapsed: 0.003 s
% 0.56/0.75 % (4433)Instructions burned: 3 (million)
% 0.56/0.75 % (4433)------------------------------
% 0.56/0.75 % (4433)------------------------------
% 0.56/0.75 % (4432)Refutation not found, incomplete strategy% (4432)------------------------------
% 0.56/0.75 % (4432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4432)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4432)Memory used [KB]: 1058
% 0.56/0.75 % (4432)Time elapsed: 0.004 s
% 0.56/0.75 % (4432)Instructions burned: 4 (million)
% 0.56/0.75 % (4428)Refutation not found, incomplete strategy% (4428)------------------------------
% 0.56/0.75 % (4428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4428)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4428)Memory used [KB]: 1071
% 0.56/0.75 % (4428)Time elapsed: 0.004 s
% 0.56/0.75 % (4428)Instructions burned: 5 (million)
% 0.56/0.75 % (4440)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)
% 0.56/0.75 % (4428)------------------------------
% 0.56/0.75 % (4428)------------------------------
% 0.56/0.75 % (4432)------------------------------
% 0.56/0.75 % (4432)------------------------------
% 0.56/0.76 % (4442)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)
% 0.56/0.76 % (4443)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)
% 0.56/0.76 % (4444)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)
% 0.56/0.77 % (4431)Instruction limit reached!
% 0.56/0.77 % (4431)------------------------------
% 0.56/0.77 % (4431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (4431)Termination reason: Unknown
% 0.56/0.77 % (4431)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (4431)Memory used [KB]: 1626
% 0.56/0.77 % (4431)Time elapsed: 0.019 s
% 0.56/0.77 % (4431)Instructions burned: 33 (million)
% 0.56/0.77 % (4431)------------------------------
% 0.56/0.77 % (4431)------------------------------
% 0.63/0.77 % (4440)Instruction limit reached!
% 0.63/0.77 % (4440)------------------------------
% 0.63/0.77 % (4440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77 % (4440)Termination reason: Unknown
% 0.63/0.77 % (4440)Termination phase: Saturation
% 0.63/0.77
% 0.63/0.77 % (4440)Memory used [KB]: 1958
% 0.63/0.77 % (4440)Time elapsed: 0.018 s
% 0.63/0.77 % (4440)Instructions burned: 57 (million)
% 0.63/0.77 % (4440)------------------------------
% 0.63/0.77 % (4440)------------------------------
% 0.63/0.77 % (4447)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.63/0.77 % (4448)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.63/0.78 % (4447)Refutation not found, incomplete strategy% (4447)------------------------------
% 0.63/0.78 % (4447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78 % (4447)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (4447)Memory used [KB]: 1088
% 0.63/0.78 % (4447)Time elapsed: 0.005 s
% 0.63/0.78 % (4447)Instructions burned: 4 (million)
% 0.63/0.78 % (4447)------------------------------
% 0.63/0.78 % (4447)------------------------------
% 0.63/0.78 % (4429)Instruction limit reached!
% 0.63/0.78 % (4429)------------------------------
% 0.63/0.78 % (4429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78 % (4429)Termination reason: Unknown
% 0.63/0.78 % (4429)Termination phase: Saturation
% 0.63/0.78
% 0.63/0.78 % (4429)Memory used [KB]: 1578
% 0.63/0.78 % (4429)Time elapsed: 0.029 s
% 0.63/0.78 % (4429)Instructions burned: 51 (million)
% 0.63/0.78 % (4429)------------------------------
% 0.63/0.78 % (4429)------------------------------
% 0.63/0.78 % (4452)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)
% 0.63/0.78 % (4455)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)
% 0.63/0.79 % (4442)Instruction limit reached!
% 0.63/0.79 % (4442)------------------------------
% 0.63/0.79 % (4442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79 % (4442)Termination reason: Unknown
% 0.63/0.79 % (4442)Termination phase: Saturation
% 0.63/0.79
% 0.63/0.79 % (4442)Memory used [KB]: 1615
% 0.63/0.79 % (4442)Time elapsed: 0.030 s
% 0.63/0.79 % (4442)Instructions burned: 50 (million)
% 0.63/0.79 % (4442)------------------------------
% 0.63/0.79 % (4442)------------------------------
% 0.63/0.79 % (4448)Instruction limit reached!
% 0.63/0.79 % (4448)------------------------------
% 0.63/0.79 % (4448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79 % (4448)Termination reason: Unknown
% 0.63/0.79 % (4448)Termination phase: Saturation
% 0.63/0.79
% 0.63/0.79 % (4448)Memory used [KB]: 1305
% 0.63/0.79 % (4448)Time elapsed: 0.015 s
% 0.63/0.79 % (4448)Instructions burned: 43 (million)
% 0.63/0.79 % (4448)------------------------------
% 0.63/0.79 % (4448)------------------------------
% 0.63/0.79 % (4444)First to succeed.
% 0.63/0.79 % (4435)Instruction limit reached!
% 0.63/0.79 % (4435)------------------------------
% 0.63/0.79 % (4435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79 % (4435)Termination reason: Unknown
% 0.63/0.79 % (4435)Termination phase: Saturation
% 0.63/0.79
% 0.63/0.79 % (4435)Memory used [KB]: 1434
% 0.63/0.79 % (4435)Time elapsed: 0.039 s
% 0.63/0.79 % (4435)Instructions burned: 84 (million)
% 0.63/0.79 % (4435)------------------------------
% 0.63/0.79 % (4435)------------------------------
% 0.63/0.79 % (4444)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4271"
% 0.63/0.79 % (4459)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.63/0.79 % (4458)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)
% 0.63/0.79 % (4444)Refutation found. Thanks to Tanya!
% 0.63/0.79 % SZS status Theorem for Vampire---4
% 0.63/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.79 % (4444)------------------------------
% 0.63/0.79 % (4444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79 % (4444)Termination reason: Refutation
% 0.63/0.79
% 0.63/0.79 % (4444)Memory used [KB]: 1429
% 0.63/0.79 % (4444)Time elapsed: 0.032 s
% 0.63/0.79 % (4444)Instructions burned: 48 (million)
% 0.63/0.79 % (4271)Success in time 0.418 s
% 0.63/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------