TSTP Solution File: SEU213+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU213+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 : n022.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 03:50:44 EDT 2024
% Result : Theorem 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 144 ( 10 unt; 0 def)
% Number of atoms : 653 ( 57 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 864 ( 355 ~; 368 |; 98 &)
% ( 21 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 312 ( 266 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f595,plain,
$false,
inference(avatar_sat_refutation,[],[f186,f187,f188,f279,f293,f439,f529,f594]) ).
fof(f594,plain,
( ~ spl16_1
| spl16_2
| ~ spl16_4 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| ~ spl16_1
| spl16_2
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f592,f99]) ).
fof(f99,plain,
relation(sK2),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( ~ in(apply(sK2,sK0),relation_dom(sK1))
| ~ in(sK0,relation_dom(sK2))
| ~ in(sK0,relation_dom(relation_composition(sK2,sK1))) )
& ( ( in(apply(sK2,sK0),relation_dom(sK1))
& in(sK0,relation_dom(sK2)) )
| in(sK0,relation_dom(relation_composition(sK2,sK1))) )
& function(sK2)
& relation(sK2)
& function(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f68,f70,f69]) ).
fof(f69,plain,
( ? [X0,X1] :
( ? [X2] :
( ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| in(X0,relation_dom(relation_composition(X2,X1))) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) )
=> ( ? [X2] :
( ( ~ in(apply(X2,sK0),relation_dom(sK1))
| ~ in(sK0,relation_dom(X2))
| ~ in(sK0,relation_dom(relation_composition(X2,sK1))) )
& ( ( in(apply(X2,sK0),relation_dom(sK1))
& in(sK0,relation_dom(X2)) )
| in(sK0,relation_dom(relation_composition(X2,sK1))) )
& function(X2)
& relation(X2) )
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X2] :
( ( ~ in(apply(X2,sK0),relation_dom(sK1))
| ~ in(sK0,relation_dom(X2))
| ~ in(sK0,relation_dom(relation_composition(X2,sK1))) )
& ( ( in(apply(X2,sK0),relation_dom(sK1))
& in(sK0,relation_dom(X2)) )
| in(sK0,relation_dom(relation_composition(X2,sK1))) )
& function(X2)
& relation(X2) )
=> ( ( ~ in(apply(sK2,sK0),relation_dom(sK1))
| ~ in(sK0,relation_dom(sK2))
| ~ in(sK0,relation_dom(relation_composition(sK2,sK1))) )
& ( ( in(apply(sK2,sK0),relation_dom(sK1))
& in(sK0,relation_dom(sK2)) )
| in(sK0,relation_dom(relation_composition(sK2,sK1))) )
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| in(X0,relation_dom(relation_composition(X2,X1))) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| in(X0,relation_dom(relation_composition(X2,X1))) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
? [X0,X1] :
( ? [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<~> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0,X1] :
( ? [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<~> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KWCFEtNa1R/Vampire---4.8_17919',t21_funct_1) ).
fof(f592,plain,
( ~ relation(sK2)
| ~ spl16_1
| spl16_2
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f591,f100]) ).
fof(f100,plain,
function(sK2),
inference(cnf_transformation,[],[f71]) ).
fof(f591,plain,
( ~ function(sK2)
| ~ relation(sK2)
| ~ spl16_1
| spl16_2
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f590,f181]) ).
fof(f181,plain,
( ~ in(sK0,relation_dom(sK2))
| spl16_2 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl16_2
<=> in(sK0,relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f590,plain,
( in(sK0,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(sK2)
| ~ spl16_1
| spl16_2
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f588,f537]) ).
fof(f537,plain,
( ! [X0] : ~ in(unordered_pair(singleton(sK0),unordered_pair(sK0,X0)),sK2)
| spl16_2 ),
inference(subsumption_resolution,[],[f536,f99]) ).
fof(f536,plain,
( ! [X0] :
( ~ in(unordered_pair(singleton(sK0),unordered_pair(sK0,X0)),sK2)
| ~ relation(sK2) )
| spl16_2 ),
inference(resolution,[],[f181,f193]) ).
fof(f193,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X0)
| ~ relation(X0) ),
inference(backward_demodulation,[],[f166,f143]) ).
fof(f143,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.KWCFEtNa1R/Vampire---4.8_17919',commutativity_k2_tarski) ).
fof(f166,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f110,f142]) ).
fof(f142,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.KWCFEtNa1R/Vampire---4.8_17919',d5_tarski) ).
fof(f110,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f73,f76,f75,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
=> in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK5(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KWCFEtNa1R/Vampire---4.8_17919',d4_relat_1) ).
fof(f588,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,empty_set)),sK2)
| in(sK0,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(sK2)
| ~ spl16_1
| ~ spl16_4 ),
inference(superposition,[],[f526,f168]) ).
fof(f168,plain,
! [X0,X1] :
( apply(X0,X1) = empty_set
| in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| empty_set != X2
| in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( apply(X0,X1) = X2
| empty_set != X2 )
& ( empty_set = X2
| apply(X0,X1) != X2 ) )
| in(X1,relation_dom(X0)) )
& ( ( ( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0) )
& ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 ) )
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( ( ( apply(X0,X1) = X2
<=> empty_set = X2 )
| in(X1,relation_dom(X0)) )
& ( ( apply(X0,X1) = X2
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( ( ( apply(X0,X1) = X2
<=> empty_set = X2 )
| in(X1,relation_dom(X0)) )
& ( ( apply(X0,X1) = X2
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( ( ~ in(X1,relation_dom(X0))
=> ( apply(X0,X1) = X2
<=> empty_set = X2 ) )
& ( in(X1,relation_dom(X0))
=> ( apply(X0,X1) = X2
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KWCFEtNa1R/Vampire---4.8_17919',d4_funct_1) ).
fof(f526,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,apply(sK2,sK0))),sK2)
| ~ spl16_1
| ~ spl16_4 ),
inference(backward_demodulation,[],[f490,f521]) ).
fof(f521,plain,
( apply(sK2,sK0) = sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0))
| ~ spl16_1
| ~ spl16_4 ),
inference(resolution,[],[f490,f309]) ).
fof(f309,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK2)
| apply(sK2,X0) = X1 ),
inference(subsumption_resolution,[],[f305,f99]) ).
fof(f305,plain,
! [X0,X1] :
( apply(sK2,X0) = X1
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK2)
| ~ relation(sK2) ),
inference(resolution,[],[f194,f100]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ function(X0)
| apply(X0,X1) = X2
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| ~ relation(X0) ),
inference(backward_demodulation,[],[f189,f143]) ).
fof(f189,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f157,f166]) ).
fof(f157,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f114,f142]) ).
fof(f114,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f490,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0)))),sK2)
| ~ spl16_1
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f489,f99]) ).
fof(f489,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0)))),sK2)
| ~ relation(sK2)
| ~ spl16_1
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f483,f97]) ).
fof(f97,plain,
relation(sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f483,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0)))),sK2)
| ~ relation(sK1)
| ~ relation(sK2)
| ~ spl16_1
| ~ spl16_4 ),
inference(resolution,[],[f449,f209]) ).
fof(f209,plain,
! [X0,X1,X8,X7] :
( ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| in(unordered_pair(singleton(X7),unordered_pair(X7,sK12(X0,X1,X7,X8))),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f197,f143]) ).
fof(f197,plain,
! [X0,X1,X8,X7] :
( ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| in(unordered_pair(unordered_pair(X7,sK12(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(backward_demodulation,[],[f192,f143]) ).
fof(f192,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK12(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f173,f131]) ).
fof(f131,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.KWCFEtNa1R/Vampire---4.8_17919',dt_k5_relat_1) ).
fof(f173,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK12(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK12(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f132,f142,f142]) ).
fof(f132,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X7,sK12(X0,X1,X7,X8)),X0)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK10(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK9(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X1)
& in(ordered_pair(sK9(X0,X1,X2),sK11(X0,X1,X2)),X0) )
| in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ( in(ordered_pair(sK12(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK12(X0,X1,X7,X8)),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f86,f89,f88,f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK10(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK9(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,sK10(X0,X1,X2)),X1)
& in(ordered_pair(sK9(X0,X1,X2),X6),X0) )
| in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ? [X6] :
( in(ordered_pair(X6,sK10(X0,X1,X2)),X1)
& in(ordered_pair(sK9(X0,X1,X2),X6),X0) )
=> ( in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X1)
& in(ordered_pair(sK9(X0,X1,X2),sK11(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1,X7,X8] :
( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
=> ( in(ordered_pair(sK12(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK12(X0,X1,X7,X8)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( relation_composition(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_composition(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KWCFEtNa1R/Vampire---4.8_17919',d8_relat_1) ).
fof(f449,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK5(relation_composition(sK2,sK1),sK0))),relation_composition(sK2,sK1))
| ~ spl16_1
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f441,f274]) ).
fof(f274,plain,
( relation(relation_composition(sK2,sK1))
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl16_4
<=> relation(relation_composition(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f441,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK5(relation_composition(sK2,sK1),sK0))),relation_composition(sK2,sK1))
| ~ relation(relation_composition(sK2,sK1))
| ~ spl16_1 ),
inference(resolution,[],[f176,f199]) ).
fof(f199,plain,
! [X0,X5] :
( ~ in(X5,relation_dom(X0))
| in(unordered_pair(singleton(X5),unordered_pair(X5,sK5(X0,X5))),X0)
| ~ relation(X0) ),
inference(backward_demodulation,[],[f167,f143]) ).
fof(f167,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK5(X0,X5)),singleton(X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK5(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f109,f142]) ).
fof(f109,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f176,plain,
( in(sK0,relation_dom(relation_composition(sK2,sK1)))
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl16_1
<=> in(sK0,relation_dom(relation_composition(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f529,plain,
( ~ spl16_1
| spl16_3
| ~ spl16_4 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| ~ spl16_1
| spl16_3
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f527,f477]) ).
fof(f477,plain,
( ! [X0] : ~ in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(X0,apply(sK2,sK0))),sK1)
| spl16_3 ),
inference(superposition,[],[f469,f143]) ).
fof(f469,plain,
( ! [X0] : ~ in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(apply(sK2,sK0),X0)),sK1)
| spl16_3 ),
inference(subsumption_resolution,[],[f467,f97]) ).
fof(f467,plain,
( ! [X0] :
( ~ in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(apply(sK2,sK0),X0)),sK1)
| ~ relation(sK1) )
| spl16_3 ),
inference(resolution,[],[f185,f193]) ).
fof(f185,plain,
( ~ in(apply(sK2,sK0),relation_dom(sK1))
| spl16_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl16_3
<=> in(apply(sK2,sK0),relation_dom(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f527,plain,
( in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(sK5(relation_composition(sK2,sK1),sK0),apply(sK2,sK0))),sK1)
| ~ spl16_1
| ~ spl16_4 ),
inference(backward_demodulation,[],[f488,f521]) ).
fof(f488,plain,
( in(unordered_pair(singleton(sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0))),unordered_pair(sK5(relation_composition(sK2,sK1),sK0),sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0)))),sK1)
| ~ spl16_1
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f487,f99]) ).
fof(f487,plain,
( in(unordered_pair(singleton(sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0))),unordered_pair(sK5(relation_composition(sK2,sK1),sK0),sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0)))),sK1)
| ~ relation(sK2)
| ~ spl16_1
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f482,f97]) ).
fof(f482,plain,
( in(unordered_pair(singleton(sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0))),unordered_pair(sK5(relation_composition(sK2,sK1),sK0),sK12(sK2,sK1,sK0,sK5(relation_composition(sK2,sK1),sK0)))),sK1)
| ~ relation(sK1)
| ~ relation(sK2)
| ~ spl16_1
| ~ spl16_4 ),
inference(resolution,[],[f449,f208]) ).
fof(f208,plain,
! [X0,X1,X8,X7] :
( ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| in(unordered_pair(singleton(sK12(X0,X1,X7,X8)),unordered_pair(X8,sK12(X0,X1,X7,X8))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f207,f143]) ).
fof(f207,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(singleton(sK12(X0,X1,X7,X8)),unordered_pair(sK12(X0,X1,X7,X8),X8)),X1)
| ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f196,f143]) ).
fof(f196,plain,
! [X0,X1,X8,X7] :
( ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| in(unordered_pair(unordered_pair(sK12(X0,X1,X7,X8),X8),singleton(sK12(X0,X1,X7,X8))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(backward_demodulation,[],[f191,f143]) ).
fof(f191,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK12(X0,X1,X7,X8),X8),singleton(sK12(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f172,f131]) ).
fof(f172,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK12(X0,X1,X7,X8),X8),singleton(sK12(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f163]) ).
fof(f163,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK12(X0,X1,X7,X8),X8),singleton(sK12(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f133,f142,f142]) ).
fof(f133,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(sK12(X0,X1,X7,X8),X8),X1)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f439,plain,
( ~ spl16_2
| ~ spl16_3
| ~ spl16_5 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| ~ spl16_2
| ~ spl16_3
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f437,f97]) ).
fof(f437,plain,
( ~ relation(sK1)
| ~ spl16_2
| ~ spl16_3
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f433,f278]) ).
fof(f278,plain,
( ! [X0] : ~ in(unordered_pair(singleton(sK0),unordered_pair(sK0,X0)),relation_composition(sK2,sK1))
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl16_5
<=> ! [X0] : ~ in(unordered_pair(singleton(sK0),unordered_pair(sK0,X0)),relation_composition(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f433,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,apply(sK1,apply(sK2,sK0)))),relation_composition(sK2,sK1))
| ~ relation(sK1)
| ~ spl16_2
| ~ spl16_3 ),
inference(resolution,[],[f353,f321]) ).
fof(f321,plain,
( in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(apply(sK2,sK0),apply(sK1,apply(sK2,sK0)))),sK1)
| ~ spl16_3 ),
inference(subsumption_resolution,[],[f320,f97]) ).
fof(f320,plain,
( in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(apply(sK2,sK0),apply(sK1,apply(sK2,sK0)))),sK1)
| ~ relation(sK1)
| ~ spl16_3 ),
inference(subsumption_resolution,[],[f314,f98]) ).
fof(f98,plain,
function(sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f314,plain,
( in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(apply(sK2,sK0),apply(sK1,apply(sK2,sK0)))),sK1)
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl16_3 ),
inference(resolution,[],[f198,f184]) ).
fof(f184,plain,
( in(apply(sK2,sK0),relation_dom(sK1))
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f198,plain,
! [X0,X1] :
( ~ in(X1,relation_dom(X0))
| in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X0,X1))),X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(backward_demodulation,[],[f170,f143]) ).
fof(f170,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X1,apply(X0,X1)),singleton(X1)),X0)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| apply(X0,X1) != X2
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f113,f142]) ).
fof(f113,plain,
! [X2,X0,X1] :
( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f353,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(apply(sK2,sK0),X0)),X1)
| in(unordered_pair(singleton(sK0),unordered_pair(sK0,X0)),relation_composition(sK2,X1))
| ~ relation(X1) )
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f349,f99]) ).
fof(f349,plain,
( ! [X0,X1] :
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,X0)),relation_composition(sK2,X1))
| ~ in(unordered_pair(singleton(apply(sK2,sK0)),unordered_pair(apply(sK2,sK0),X0)),X1)
| ~ relation(X1)
| ~ relation(sK2) )
| ~ spl16_2 ),
inference(resolution,[],[f206,f319]) ).
fof(f319,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,apply(sK2,sK0))),sK2)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f318,f99]) ).
fof(f318,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,apply(sK2,sK0))),sK2)
| ~ relation(sK2)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f313,f100]) ).
fof(f313,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,apply(sK2,sK0))),sK2)
| ~ function(sK2)
| ~ relation(sK2)
| ~ spl16_2 ),
inference(resolution,[],[f198,f180]) ).
fof(f180,plain,
( in(sK0,relation_dom(sK2))
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f206,plain,
! [X0,X1,X8,X9,X7] :
( ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X9)),X0)
| in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| ~ in(unordered_pair(singleton(X9),unordered_pair(X9,X8)),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f205,f143]) ).
fof(f205,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| ~ in(unordered_pair(singleton(X9),unordered_pair(X9,X8)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f195,f143]) ).
fof(f195,plain,
! [X0,X1,X8,X9,X7] :
( ~ in(unordered_pair(singleton(X9),unordered_pair(X9,X8)),X1)
| in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(backward_demodulation,[],[f190,f143]) ).
fof(f190,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f171,f131]) ).
fof(f171,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f134,f142,f142,f142]) ).
fof(f134,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),X2)
| ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f293,plain,
spl16_4,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| spl16_4 ),
inference(subsumption_resolution,[],[f291,f99]) ).
fof(f291,plain,
( ~ relation(sK2)
| spl16_4 ),
inference(subsumption_resolution,[],[f282,f97]) ).
fof(f282,plain,
( ~ relation(sK1)
| ~ relation(sK2)
| spl16_4 ),
inference(resolution,[],[f275,f131]) ).
fof(f275,plain,
( ~ relation(relation_composition(sK2,sK1))
| spl16_4 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f279,plain,
( ~ spl16_4
| spl16_5
| spl16_1 ),
inference(avatar_split_clause,[],[f268,f175,f277,f273]) ).
fof(f268,plain,
( ! [X0] :
( ~ in(unordered_pair(singleton(sK0),unordered_pair(sK0,X0)),relation_composition(sK2,sK1))
| ~ relation(relation_composition(sK2,sK1)) )
| spl16_1 ),
inference(resolution,[],[f193,f177]) ).
fof(f177,plain,
( ~ in(sK0,relation_dom(relation_composition(sK2,sK1)))
| spl16_1 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f188,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f101,f179,f175]) ).
fof(f101,plain,
( in(sK0,relation_dom(sK2))
| in(sK0,relation_dom(relation_composition(sK2,sK1))) ),
inference(cnf_transformation,[],[f71]) ).
fof(f187,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f102,f183,f175]) ).
fof(f102,plain,
( in(apply(sK2,sK0),relation_dom(sK1))
| in(sK0,relation_dom(relation_composition(sK2,sK1))) ),
inference(cnf_transformation,[],[f71]) ).
fof(f186,plain,
( ~ spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f103,f183,f179,f175]) ).
fof(f103,plain,
( ~ in(apply(sK2,sK0),relation_dom(sK1))
| ~ in(sK0,relation_dom(sK2))
| ~ in(sK0,relation_dom(relation_composition(sK2,sK1))) ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU213+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 16:11:58 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.KWCFEtNa1R/Vampire---4.8_17919
% 0.54/0.76 % (18116)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)
% 0.54/0.76 % (18120)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)
% 0.54/0.76 % (18122)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)
% 0.54/0.76 % (18115)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)
% 0.54/0.76 % (18117)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76 % (18118)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)
% 0.54/0.76 % (18119)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)
% 0.54/0.76 % (18121)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)
% 0.54/0.76 % (18120)Refutation not found, incomplete strategy% (18120)------------------------------
% 0.54/0.76 % (18120)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (18120)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (18120)Memory used [KB]: 1119
% 0.54/0.76 % (18120)Time elapsed: 0.003 s
% 0.54/0.76 % (18120)Instructions burned: 5 (million)
% 0.54/0.76 % (18120)------------------------------
% 0.54/0.76 % (18120)------------------------------
% 0.54/0.76 % (18122)Refutation not found, incomplete strategy% (18122)------------------------------
% 0.54/0.76 % (18122)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (18122)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (18122)Memory used [KB]: 1085
% 0.54/0.76 % (18122)Time elapsed: 0.003 s
% 0.54/0.76 % (18122)Instructions burned: 6 (million)
% 0.54/0.76 % (18122)------------------------------
% 0.54/0.76 % (18122)------------------------------
% 0.54/0.76 % (18126)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)
% 0.54/0.76 % (18127)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)
% 0.54/0.77 % (18116)Instruction limit reached!
% 0.54/0.77 % (18116)------------------------------
% 0.54/0.77 % (18116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.77 % (18116)Termination reason: Unknown
% 0.54/0.77 % (18116)Termination phase: Saturation
% 0.54/0.77
% 0.54/0.77 % (18116)Memory used [KB]: 1617
% 0.54/0.77 % (18116)Time elapsed: 0.017 s
% 0.54/0.77 % (18116)Instructions burned: 52 (million)
% 0.54/0.77 % (18116)------------------------------
% 0.54/0.77 % (18116)------------------------------
% 0.54/0.78 % (18133)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 (2995ds/208Mi)
% 0.54/0.78 % (18118)Instruction limit reached!
% 0.54/0.78 % (18118)------------------------------
% 0.54/0.78 % (18118)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.78 % (18118)Termination reason: Unknown
% 0.54/0.78 % (18118)Termination phase: Saturation
% 0.54/0.78
% 0.54/0.78 % (18118)Memory used [KB]: 1561
% 0.54/0.78 % (18118)Time elapsed: 0.019 s
% 0.54/0.78 % (18118)Instructions burned: 33 (million)
% 0.54/0.78 % (18118)------------------------------
% 0.54/0.78 % (18118)------------------------------
% 0.54/0.78 % (18126)Instruction limit reached!
% 0.54/0.78 % (18126)------------------------------
% 0.54/0.78 % (18126)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.78 % (18126)Termination reason: Unknown
% 0.54/0.78 % (18126)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (18126)Memory used [KB]: 2039
% 0.62/0.78 % (18126)Time elapsed: 0.017 s
% 0.62/0.78 % (18126)Instructions burned: 57 (million)
% 0.62/0.78 % (18127)Instruction limit reached!
% 0.62/0.78 % (18127)------------------------------
% 0.62/0.78 % (18127)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (18127)Termination reason: Unknown
% 0.62/0.78 % (18127)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (18127)Memory used [KB]: 1726
% 0.62/0.78 % (18127)Time elapsed: 0.017 s
% 0.62/0.78 % (18127)Instructions burned: 50 (million)
% 0.62/0.78 % (18127)------------------------------
% 0.62/0.78 % (18127)------------------------------
% 0.62/0.78 % (18126)------------------------------
% 0.62/0.78 % (18126)------------------------------
% 0.62/0.78 % (18119)Instruction limit reached!
% 0.62/0.78 % (18119)------------------------------
% 0.62/0.78 % (18119)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (18119)Termination reason: Unknown
% 0.62/0.78 % (18119)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (18119)Memory used [KB]: 1475
% 0.62/0.78 % (18119)Time elapsed: 0.022 s
% 0.62/0.78 % (18119)Instructions burned: 35 (million)
% 0.62/0.78 % (18119)------------------------------
% 0.62/0.78 % (18119)------------------------------
% 0.62/0.78 % (18137)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)
% 0.62/0.78 % (18135)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 (2995ds/52Mi)
% 0.62/0.78 % (18138)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)
% 0.62/0.78 % (18115)Instruction limit reached!
% 0.62/0.78 % (18115)------------------------------
% 0.62/0.78 % (18115)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (18115)Termination reason: Unknown
% 0.62/0.78 % (18115)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (18115)Memory used [KB]: 1401
% 0.62/0.78 % (18115)Time elapsed: 0.024 s
% 0.62/0.78 % (18115)Instructions burned: 35 (million)
% 0.62/0.78 % (18115)------------------------------
% 0.62/0.78 % (18115)------------------------------
% 0.62/0.78 % (18117)First to succeed.
% 0.62/0.78 % (18137)Refutation not found, incomplete strategy% (18137)------------------------------
% 0.62/0.78 % (18137)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (18137)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78
% 0.62/0.78 % (18137)Memory used [KB]: 1147
% 0.62/0.78 % (18137)Time elapsed: 0.003 s
% 0.62/0.78 % (18137)Instructions burned: 8 (million)
% 0.62/0.78 % (18137)------------------------------
% 0.62/0.78 % (18137)------------------------------
% 0.62/0.78 % (18139)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)
% 0.62/0.78 % (18141)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)
% 0.62/0.79 % (18142)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)
% 0.62/0.79 % (18117)Refutation found. Thanks to Tanya!
% 0.62/0.79 % SZS status Theorem for Vampire---4
% 0.62/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79 % (18117)------------------------------
% 0.62/0.79 % (18117)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (18117)Termination reason: Refutation
% 0.62/0.79
% 0.62/0.79 % (18117)Memory used [KB]: 1359
% 0.62/0.79 % (18117)Time elapsed: 0.029 s
% 0.62/0.79 % (18117)Instructions burned: 45 (million)
% 0.62/0.79 % (18117)------------------------------
% 0.62/0.79 % (18117)------------------------------
% 0.62/0.79 % (18088)Success in time 0.42 s
% 0.62/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------