TSTP Solution File: SEU028+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU028+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 : n032.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 03:49:50 EDT 2024
% Result : Theorem 0.41s 0.60s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 139 ( 24 unt; 0 def)
% Number of atoms : 464 ( 146 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 557 ( 232 ~; 234 |; 66 &)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 95 ( 88 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f637,plain,
$false,
inference(avatar_sat_refutation,[],[f171,f461,f617,f631]) ).
fof(f631,plain,
( spl14_2
| ~ spl14_18 ),
inference(avatar_split_clause,[],[f630,f458,f168]) ).
fof(f168,plain,
( spl14_2
<=> sF8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f458,plain,
( spl14_18
<=> in(sK1(sF9,sF8),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f630,plain,
( ~ in(sK1(sF9,sF8),sF9)
| sF8 = sF10 ),
inference(forward_demodulation,[],[f609,f363]) ).
fof(f363,plain,
sF9 = relation_dom(sF8),
inference(forward_demodulation,[],[f362,f157]) ).
fof(f157,plain,
relation_rng(sK0) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
fof(f362,plain,
relation_rng(sK0) = relation_dom(sF8),
inference(forward_demodulation,[],[f361,f156]) ).
fof(f156,plain,
relation_composition(sF7,sK0) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f361,plain,
relation_rng(sK0) = relation_dom(relation_composition(sF7,sK0)),
inference(subsumption_resolution,[],[f360,f98]) ).
fof(f98,plain,
relation(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( relation_composition(function_inverse(sK0),sK0) != identity_relation(relation_rng(sK0))
| relation_composition(sK0,function_inverse(sK0)) != identity_relation(relation_dom(sK0)) )
& one_to_one(sK0)
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f81]) ).
fof(f81,plain,
( ? [X0] :
( ( relation_composition(function_inverse(X0),X0) != identity_relation(relation_rng(X0))
| relation_composition(X0,function_inverse(X0)) != identity_relation(relation_dom(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ( relation_composition(function_inverse(sK0),sK0) != identity_relation(relation_rng(sK0))
| relation_composition(sK0,function_inverse(sK0)) != identity_relation(relation_dom(sK0)) )
& one_to_one(sK0)
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] :
( ( relation_composition(function_inverse(X0),X0) != identity_relation(relation_rng(X0))
| relation_composition(X0,function_inverse(X0)) != identity_relation(relation_dom(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
? [X0] :
( ( relation_composition(function_inverse(X0),X0) != identity_relation(relation_rng(X0))
| relation_composition(X0,function_inverse(X0)) != identity_relation(relation_dom(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
& relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) ) ) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
& relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Hin59RYpoU/Vampire---4.8_31217',t61_funct_1) ).
fof(f360,plain,
( relation_rng(sK0) = relation_dom(relation_composition(sF7,sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f359,f99]) ).
fof(f99,plain,
function(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f359,plain,
( relation_rng(sK0) = relation_dom(relation_composition(sF7,sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f354,f100]) ).
fof(f100,plain,
one_to_one(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f354,plain,
( relation_rng(sK0) = relation_dom(relation_composition(sF7,sK0))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f104,f155]) ).
fof(f155,plain,
function_inverse(sK0) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
fof(f104,plain,
! [X0] :
( relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( relation_rng(X0) = relation_rng(relation_composition(function_inverse(X0),X0))
& relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0)) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( relation_rng(X0) = relation_rng(relation_composition(function_inverse(X0),X0))
& relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0)) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_rng(relation_composition(function_inverse(X0),X0))
& relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Hin59RYpoU/Vampire---4.8_31217',t59_funct_1) ).
fof(f609,plain,
( sF8 = sF10
| ~ in(sK1(relation_dom(sF8),sF8),sF9) ),
inference(forward_demodulation,[],[f608,f158]) ).
fof(f158,plain,
identity_relation(sF9) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f608,plain,
( sF8 = identity_relation(sF9)
| ~ in(sK1(relation_dom(sF8),sF8),sF9) ),
inference(forward_demodulation,[],[f607,f363]) ).
fof(f607,plain,
( sF8 = identity_relation(relation_dom(sF8))
| ~ in(sK1(relation_dom(sF8),sF8),sF9) ),
inference(subsumption_resolution,[],[f606,f240]) ).
fof(f240,plain,
relation(sF8),
inference(subsumption_resolution,[],[f239,f202]) ).
fof(f202,plain,
relation(sF7),
inference(subsumption_resolution,[],[f201,f98]) ).
fof(f201,plain,
( relation(sF7)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f200,f99]) ).
fof(f200,plain,
( relation(sF7)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f112,f155]) ).
fof(f112,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Hin59RYpoU/Vampire---4.8_31217',dt_k2_funct_1) ).
fof(f239,plain,
( relation(sF8)
| ~ relation(sF7) ),
inference(subsumption_resolution,[],[f237,f98]) ).
fof(f237,plain,
( relation(sF8)
| ~ relation(sK0)
| ~ relation(sF7) ),
inference(superposition,[],[f120,f156]) ).
fof(f120,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.Hin59RYpoU/Vampire---4.8_31217',dt_k5_relat_1) ).
fof(f606,plain,
( sF8 = identity_relation(relation_dom(sF8))
| ~ relation(sF8)
| ~ in(sK1(relation_dom(sF8),sF8),sF9) ),
inference(subsumption_resolution,[],[f584,f349]) ).
fof(f349,plain,
function(sF8),
inference(subsumption_resolution,[],[f348,f202]) ).
fof(f348,plain,
( function(sF8)
| ~ relation(sF7) ),
inference(subsumption_resolution,[],[f347,f205]) ).
fof(f205,plain,
function(sF7),
inference(subsumption_resolution,[],[f204,f98]) ).
fof(f204,plain,
( function(sF7)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f203,f99]) ).
fof(f203,plain,
( function(sF7)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f113,f155]) ).
fof(f113,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f347,plain,
( function(sF8)
| ~ function(sF7)
| ~ relation(sF7) ),
inference(subsumption_resolution,[],[f346,f98]) ).
fof(f346,plain,
( function(sF8)
| ~ relation(sK0)
| ~ function(sF7)
| ~ relation(sF7) ),
inference(subsumption_resolution,[],[f344,f99]) ).
fof(f344,plain,
( function(sF8)
| ~ function(sK0)
| ~ relation(sK0)
| ~ function(sF7)
| ~ relation(sF7) ),
inference(superposition,[],[f117,f156]) ).
fof(f117,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,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.Hin59RYpoU/Vampire---4.8_31217',fc1_funct_1) ).
fof(f584,plain,
( sF8 = identity_relation(relation_dom(sF8))
| ~ function(sF8)
| ~ relation(sF8)
| ~ in(sK1(relation_dom(sF8),sF8),sF9) ),
inference(trivial_inequality_removal,[],[f581]) ).
fof(f581,plain,
( sK1(relation_dom(sF8),sF8) != sK1(relation_dom(sF8),sF8)
| sF8 = identity_relation(relation_dom(sF8))
| ~ function(sF8)
| ~ relation(sF8)
| ~ in(sK1(relation_dom(sF8),sF8),sF9) ),
inference(superposition,[],[f151,f502]) ).
fof(f502,plain,
! [X0] :
( apply(sF8,X0) = X0
| ~ in(X0,sF9) ),
inference(forward_demodulation,[],[f501,f157]) ).
fof(f501,plain,
! [X0] :
( apply(sF8,X0) = X0
| ~ in(X0,relation_rng(sK0)) ),
inference(forward_demodulation,[],[f500,f156]) ).
fof(f500,plain,
! [X0] :
( apply(relation_composition(sF7,sK0),X0) = X0
| ~ in(X0,relation_rng(sK0)) ),
inference(subsumption_resolution,[],[f499,f98]) ).
fof(f499,plain,
! [X0] :
( apply(relation_composition(sF7,sK0),X0) = X0
| ~ in(X0,relation_rng(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f498,f99]) ).
fof(f498,plain,
! [X0] :
( apply(relation_composition(sF7,sK0),X0) = X0
| ~ in(X0,relation_rng(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f495,f100]) ).
fof(f495,plain,
! [X0] :
( apply(relation_composition(sF7,sK0),X0) = X0
| ~ in(X0,relation_rng(sK0))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f109,f155]) ).
fof(f109,plain,
! [X0,X1] :
( apply(relation_composition(function_inverse(X1),X1),X0) = X0
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( in(X0,relation_rng(X1))
& one_to_one(X1) )
=> ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Hin59RYpoU/Vampire---4.8_31217',t57_funct_1) ).
fof(f151,plain,
! [X1] :
( sK1(relation_dom(X1),X1) != apply(X1,sK1(relation_dom(X1),X1))
| identity_relation(relation_dom(X1)) = X1
| ~ function(X1)
| ~ relation(X1) ),
inference(equality_resolution,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| sK1(X0,X1) != apply(X1,sK1(X0,X1))
| relation_dom(X1) != X0
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ( sK1(X0,X1) != apply(X1,sK1(X0,X1))
& in(sK1(X0,X1),X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f85,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
=> ( sK1(X0,X1) != apply(X1,sK1(X0,X1))
& in(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,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,[],[f69]) ).
fof(f69,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,axiom,
! [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.Hin59RYpoU/Vampire---4.8_31217',t34_funct_1) ).
fof(f617,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f616,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f615,f465]) ).
fof(f465,plain,
( in(sK1(sF12,sF11),sF12)
| spl14_1 ),
inference(subsumption_resolution,[],[f464,f166]) ).
fof(f166,plain,
( sF11 != sF13
| spl14_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl14_1
<=> sF11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f464,plain,
( sF11 = sF13
| in(sK1(sF12,sF11),sF12) ),
inference(forward_demodulation,[],[f463,f161]) ).
fof(f161,plain,
identity_relation(sF12) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f463,plain,
( in(sK1(sF12,sF11),sF12)
| sF11 = identity_relation(sF12) ),
inference(subsumption_resolution,[],[f462,f242]) ).
fof(f242,plain,
relation(sF11),
inference(subsumption_resolution,[],[f241,f98]) ).
fof(f241,plain,
( relation(sF11)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f238,f202]) ).
fof(f238,plain,
( relation(sF11)
| ~ relation(sF7)
| ~ relation(sK0) ),
inference(superposition,[],[f120,f159]) ).
fof(f159,plain,
relation_composition(sK0,sF7) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f462,plain,
( in(sK1(sF12,sF11),sF12)
| sF11 = identity_relation(sF12)
| ~ relation(sF11) ),
inference(subsumption_resolution,[],[f440,f353]) ).
fof(f353,plain,
function(sF11),
inference(subsumption_resolution,[],[f352,f98]) ).
fof(f352,plain,
( function(sF11)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f351,f99]) ).
fof(f351,plain,
( function(sF11)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f350,f202]) ).
fof(f350,plain,
( function(sF11)
| ~ relation(sF7)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f345,f205]) ).
fof(f345,plain,
( function(sF11)
| ~ function(sF7)
| ~ relation(sF7)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f117,f159]) ).
fof(f440,plain,
( in(sK1(sF12,sF11),sF12)
| sF11 = identity_relation(sF12)
| ~ function(sF11)
| ~ relation(sF11) ),
inference(superposition,[],[f152,f391]) ).
fof(f391,plain,
sF12 = relation_dom(sF11),
inference(forward_demodulation,[],[f390,f160]) ).
fof(f160,plain,
relation_dom(sK0) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f390,plain,
relation_dom(sK0) = relation_dom(sF11),
inference(forward_demodulation,[],[f389,f159]) ).
fof(f389,plain,
relation_dom(sK0) = relation_dom(relation_composition(sK0,sF7)),
inference(subsumption_resolution,[],[f388,f98]) ).
fof(f388,plain,
( relation_dom(sK0) = relation_dom(relation_composition(sK0,sF7))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f387,f99]) ).
fof(f387,plain,
( relation_dom(sK0) = relation_dom(relation_composition(sK0,sF7))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f382,f100]) ).
fof(f382,plain,
( relation_dom(sK0) = relation_dom(relation_composition(sK0,sF7))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f106,f155]) ).
fof(f106,plain,
! [X0] :
( relation_dom(X0) = relation_dom(relation_composition(X0,function_inverse(X0)))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_composition(X0,function_inverse(X0)))
& relation_dom(X0) = relation_dom(relation_composition(X0,function_inverse(X0))) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_composition(X0,function_inverse(X0)))
& relation_dom(X0) = relation_dom(relation_composition(X0,function_inverse(X0))) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(relation_composition(X0,function_inverse(X0)))
& relation_dom(X0) = relation_dom(relation_composition(X0,function_inverse(X0))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Hin59RYpoU/Vampire---4.8_31217',t58_funct_1) ).
fof(f152,plain,
! [X1] :
( in(sK1(relation_dom(X1),X1),relation_dom(X1))
| identity_relation(relation_dom(X1)) = X1
| ~ function(X1)
| ~ relation(X1) ),
inference(equality_resolution,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| in(sK1(X0,X1),X0)
| relation_dom(X1) != X0
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f615,plain,
( ~ in(sK1(sF12,sF11),sF12)
| spl14_1 ),
inference(forward_demodulation,[],[f614,f391]) ).
fof(f614,plain,
( ~ in(sK1(relation_dom(sF11),sF11),sF12)
| spl14_1 ),
inference(subsumption_resolution,[],[f613,f166]) ).
fof(f613,plain,
( sF11 = sF13
| ~ in(sK1(relation_dom(sF11),sF11),sF12) ),
inference(forward_demodulation,[],[f612,f161]) ).
fof(f612,plain,
( sF11 = identity_relation(sF12)
| ~ in(sK1(relation_dom(sF11),sF11),sF12) ),
inference(forward_demodulation,[],[f611,f391]) ).
fof(f611,plain,
( sF11 = identity_relation(relation_dom(sF11))
| ~ in(sK1(relation_dom(sF11),sF11),sF12) ),
inference(subsumption_resolution,[],[f610,f242]) ).
fof(f610,plain,
( sF11 = identity_relation(relation_dom(sF11))
| ~ relation(sF11)
| ~ in(sK1(relation_dom(sF11),sF11),sF12) ),
inference(subsumption_resolution,[],[f583,f353]) ).
fof(f583,plain,
( sF11 = identity_relation(relation_dom(sF11))
| ~ function(sF11)
| ~ relation(sF11)
| ~ in(sK1(relation_dom(sF11),sF11),sF12) ),
inference(trivial_inequality_removal,[],[f582]) ).
fof(f582,plain,
( sK1(relation_dom(sF11),sF11) != sK1(relation_dom(sF11),sF11)
| sF11 = identity_relation(relation_dom(sF11))
| ~ function(sF11)
| ~ relation(sF11)
| ~ in(sK1(relation_dom(sF11),sF11),sF12) ),
inference(superposition,[],[f151,f547]) ).
fof(f547,plain,
! [X0] :
( apply(sF11,X0) = X0
| ~ in(X0,sF12) ),
inference(forward_demodulation,[],[f546,f160]) ).
fof(f546,plain,
! [X0] :
( apply(sF11,X0) = X0
| ~ in(X0,relation_dom(sK0)) ),
inference(forward_demodulation,[],[f545,f159]) ).
fof(f545,plain,
! [X0] :
( apply(relation_composition(sK0,sF7),X0) = X0
| ~ in(X0,relation_dom(sK0)) ),
inference(subsumption_resolution,[],[f544,f98]) ).
fof(f544,plain,
! [X0] :
( apply(relation_composition(sK0,sF7),X0) = X0
| ~ in(X0,relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f543,f99]) ).
fof(f543,plain,
! [X0] :
( apply(relation_composition(sK0,sF7),X0) = X0
| ~ in(X0,relation_dom(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f539,f100]) ).
fof(f539,plain,
! [X0] :
( apply(relation_composition(sK0,sF7),X0) = X0
| ~ in(X0,relation_dom(sK0))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f111,f155]) ).
fof(f111,plain,
! [X0,X1] :
( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
| ~ in(X0,relation_dom(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
& apply(function_inverse(X1),apply(X1,X0)) = X0 )
| ~ in(X0,relation_dom(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
& apply(function_inverse(X1),apply(X1,X0)) = X0 )
| ~ in(X0,relation_dom(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( in(X0,relation_dom(X1))
& one_to_one(X1) )
=> ( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
& apply(function_inverse(X1),apply(X1,X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Hin59RYpoU/Vampire---4.8_31217',t56_funct_1) ).
fof(f461,plain,
( spl14_18
| spl14_2 ),
inference(avatar_split_clause,[],[f456,f168,f458]) ).
fof(f456,plain,
( sF8 = sF10
| in(sK1(sF9,sF8),sF9) ),
inference(forward_demodulation,[],[f455,f158]) ).
fof(f455,plain,
( in(sK1(sF9,sF8),sF9)
| sF8 = identity_relation(sF9) ),
inference(subsumption_resolution,[],[f454,f240]) ).
fof(f454,plain,
( in(sK1(sF9,sF8),sF9)
| sF8 = identity_relation(sF9)
| ~ relation(sF8) ),
inference(subsumption_resolution,[],[f438,f349]) ).
fof(f438,plain,
( in(sK1(sF9,sF8),sF9)
| sF8 = identity_relation(sF9)
| ~ function(sF8)
| ~ relation(sF8) ),
inference(superposition,[],[f152,f363]) ).
fof(f171,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f162,f168,f164]) ).
fof(f162,plain,
( sF8 != sF10
| sF11 != sF13 ),
inference(definition_folding,[],[f101,f161,f160,f159,f155,f158,f157,f156,f155]) ).
fof(f101,plain,
( relation_composition(function_inverse(sK0),sK0) != identity_relation(relation_rng(sK0))
| relation_composition(sK0,function_inverse(sK0)) != identity_relation(relation_dom(sK0)) ),
inference(cnf_transformation,[],[f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.08 % Problem : SEU028+1 : TPTP v8.1.2. Released v3.2.0.
% 0.01/0.09 % 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
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Apr 30 16:23:06 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 This is a FOF_THM_RFO_SEQ problem
% 0.08/0.28 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.Hin59RYpoU/Vampire---4.8_31217
% 0.41/0.58 % (31410)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)
% 0.41/0.58 % (31411)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)
% 0.41/0.59 % (31417)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)
% 0.41/0.59 % (31412)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.41/0.59 % (31413)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)
% 0.41/0.59 % (31414)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)
% 0.41/0.59 % (31415)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)
% 0.41/0.59 % (31416)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)
% 0.41/0.59 % (31417)Refutation not found, incomplete strategy% (31417)------------------------------
% 0.41/0.59 % (31417)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.59 % (31417)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.59
% 0.41/0.59 % (31417)Memory used [KB]: 1041
% 0.41/0.59 % (31417)Time elapsed: 0.002 s
% 0.41/0.59 % (31417)Instructions burned: 3 (million)
% 0.41/0.59 % (31417)------------------------------
% 0.41/0.59 % (31417)------------------------------
% 0.41/0.59 % (31410)Refutation not found, incomplete strategy% (31410)------------------------------
% 0.41/0.59 % (31410)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.59 % (31410)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.59
% 0.41/0.59 % (31410)Memory used [KB]: 1064
% 0.41/0.59 % (31410)Time elapsed: 0.003 s
% 0.41/0.59 % (31410)Instructions burned: 6 (million)
% 0.41/0.59 % (31410)------------------------------
% 0.41/0.59 % (31410)------------------------------
% 0.41/0.59 % (31415)Refutation not found, incomplete strategy% (31415)------------------------------
% 0.41/0.59 % (31415)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.59 % (31415)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.59
% 0.41/0.59 % (31415)Memory used [KB]: 1036
% 0.41/0.59 % (31415)Time elapsed: 0.003 s
% 0.41/0.59 % (31415)Instructions burned: 3 (million)
% 0.41/0.59 % (31415)------------------------------
% 0.41/0.59 % (31415)------------------------------
% 0.41/0.59 % (31421)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)
% 0.41/0.59 % (31414)Refutation not found, incomplete strategy% (31414)------------------------------
% 0.41/0.59 % (31414)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.59 % (31414)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.59
% 0.41/0.59 % (31414)Memory used [KB]: 1135
% 0.41/0.59 % (31414)Time elapsed: 0.005 s
% 0.41/0.59 % (31414)Instructions burned: 5 (million)
% 0.41/0.59 % (31414)------------------------------
% 0.41/0.59 % (31414)------------------------------
% 0.41/0.59 % (31422)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)
% 0.41/0.59 % (31423)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)
% 0.41/0.59 % (31425)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)
% 0.41/0.60 % (31423)First to succeed.
% 0.41/0.60 % (31413)Instruction limit reached!
% 0.41/0.60 % (31413)------------------------------
% 0.41/0.60 % (31413)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.60 % (31413)Termination reason: Unknown
% 0.41/0.60 % (31413)Termination phase: Saturation
% 0.41/0.60
% 0.41/0.60 % (31413)Memory used [KB]: 1483
% 0.41/0.60 % (31413)Time elapsed: 0.019 s
% 0.41/0.60 % (31413)Instructions burned: 34 (million)
% 0.41/0.60 % (31413)------------------------------
% 0.41/0.60 % (31413)------------------------------
% 0.41/0.60 % (31412)Also succeeded, but the first one will report.
% 0.41/0.60 % (31423)Refutation found. Thanks to Tanya!
% 0.41/0.60 % SZS status Theorem for Vampire---4
% 0.41/0.60 % SZS output start Proof for Vampire---4
% See solution above
% 0.41/0.61 % (31423)------------------------------
% 0.41/0.61 % (31423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.61 % (31423)Termination reason: Refutation
% 0.41/0.61
% 0.41/0.61 % (31423)Memory used [KB]: 1225
% 0.41/0.61 % (31423)Time elapsed: 0.013 s
% 0.41/0.61 % (31423)Instructions burned: 24 (million)
% 0.41/0.61 % (31423)------------------------------
% 0.41/0.61 % (31423)------------------------------
% 0.41/0.61 % (31383)Success in time 0.317 s
% 0.41/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------