TSTP Solution File: SEU213+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU213+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n016.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 09:21:03 EDT 2024
% Result : Theorem 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 111 ( 10 unt; 0 def)
% Number of atoms : 355 ( 33 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 428 ( 184 ~; 188 |; 23 &)
% ( 19 <=>; 12 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 125 ( 115 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f737,plain,
$false,
inference(avatar_sat_refutation,[],[f147,f152,f155,f385,f633,f736]) ).
fof(f736,plain,
( ~ spl21_1
| spl21_2
| ~ spl21_3 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| ~ spl21_1
| spl21_2
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f731,f644]) ).
fof(f644,plain,
( ~ in(sK8(sK2,sK0),relation_dom(sK1))
| spl21_2
| ~ spl21_3 ),
inference(forward_demodulation,[],[f643,f473]) ).
fof(f473,plain,
( sF16 = sK8(sK2,sK0)
| ~ spl21_3 ),
inference(backward_demodulation,[],[f131,f431]) ).
fof(f431,plain,
( apply(sK2,sK0) = sK8(sK2,sK0)
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f430,f70]) ).
fof(f70,plain,
relation(sK2),
inference(cnf_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,[],[f37]) ).
fof(f37,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,[],[f36]) ).
fof(f36,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.dH9ndZgpOQ/Vampire---4.8_3452',t21_funct_1) ).
fof(f430,plain,
( ~ relation(sK2)
| apply(sK2,sK0) = sK8(sK2,sK0)
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f425,f71]) ).
fof(f71,plain,
function(sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f425,plain,
( ~ function(sK2)
| ~ relation(sK2)
| apply(sK2,sK0) = sK8(sK2,sK0)
| ~ spl21_3 ),
inference(resolution,[],[f412,f241]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X1,X2),X0)
| ~ function(X0)
| ~ relation(X0)
| apply(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f91,f127]) ).
fof(f127,plain,
! [X2,X3,X0] :
( ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X0)
| in(X2,relation_dom(X0)) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| ~ in(ordered_pair(X2,X3),X0)
| in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,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.dH9ndZgpOQ/Vampire---4.8_3452',d4_relat_1) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(ordered_pair(X1,X2),X0)
| apply(X0,X1) = X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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,[],[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(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.dH9ndZgpOQ/Vampire---4.8_3452',d4_funct_1) ).
fof(f412,plain,
( in(ordered_pair(sK0,sK8(sK2,sK0)),sK2)
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f407,f70]) ).
fof(f407,plain,
( in(ordered_pair(sK0,sK8(sK2,sK0)),sK2)
| ~ relation(sK2)
| ~ spl21_3 ),
inference(resolution,[],[f404,f126]) ).
fof(f126,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| in(ordered_pair(X2,sK8(X0,X2)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(X2,sK8(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f48]) ).
fof(f404,plain,
( in(sK0,relation_dom(sK2))
| ~ spl21_3 ),
inference(forward_demodulation,[],[f151,f136]) ).
fof(f136,plain,
relation_dom(sK2) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f151,plain,
( in(sK0,sF20)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl21_3
<=> in(sK0,sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f131,plain,
apply(sK2,sK0) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f643,plain,
( ~ in(sF16,relation_dom(sK1))
| spl21_2 ),
inference(forward_demodulation,[],[f145,f132]) ).
fof(f132,plain,
relation_dom(sK1) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f145,plain,
( ~ in(sF16,sF17)
| spl21_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl21_2
<=> in(sF16,sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f731,plain,
( in(sK8(sK2,sK0),relation_dom(sK1))
| ~ spl21_1
| ~ spl21_3 ),
inference(backward_demodulation,[],[f698,f647]) ).
fof(f647,plain,
( sK5(sK2,sK1,sK0,sK8(sF18,sK0)) = sK8(sK2,sK0)
| ~ spl21_1
| ~ spl21_3 ),
inference(forward_demodulation,[],[f382,f431]) ).
fof(f382,plain,
( apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF18,sK0))
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f381,f70]) ).
fof(f381,plain,
( ~ relation(sK2)
| apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF18,sK0))
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f376,f71]) ).
fof(f376,plain,
( ~ function(sK2)
| ~ relation(sK2)
| apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF18,sK0))
| ~ spl21_1 ),
inference(resolution,[],[f361,f241]) ).
fof(f361,plain,
( in(ordered_pair(sK0,sK5(sK2,sK1,sK0,sK8(sF18,sK0))),sK2)
| ~ spl21_1 ),
inference(resolution,[],[f268,f216]) ).
fof(f216,plain,
( in(ordered_pair(sK0,sK8(sF18,sK0)),sF18)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f214,f200]) ).
fof(f200,plain,
relation(sF18),
inference(subsumption_resolution,[],[f199,f70]) ).
fof(f199,plain,
( relation(sF18)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f198,f72]) ).
fof(f72,plain,
relation(sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f198,plain,
( relation(sF18)
| ~ relation(sK1)
| ~ relation(sK2) ),
inference(superposition,[],[f107,f133]) ).
fof(f133,plain,
relation_composition(sK2,sK1) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f107,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.dH9ndZgpOQ/Vampire---4.8_3452',dt_k5_relat_1) ).
fof(f214,plain,
( in(ordered_pair(sK0,sK8(sF18,sK0)),sF18)
| ~ relation(sF18)
| ~ spl21_1 ),
inference(resolution,[],[f126,f157]) ).
fof(f157,plain,
( in(sK0,relation_dom(sF18))
| ~ spl21_1 ),
inference(backward_demodulation,[],[f142,f134]) ).
fof(f134,plain,
relation_dom(sF18) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f142,plain,
( in(sK0,sF19)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl21_1
<=> in(sK0,sF19) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f268,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF18)
| in(ordered_pair(X0,sK5(sK2,sK1,X0,X1)),sK2) ),
inference(subsumption_resolution,[],[f267,f70]) ).
fof(f267,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF18)
| in(ordered_pair(X0,sK5(sK2,sK1,X0,X1)),sK2)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f266,f72]) ).
fof(f266,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF18)
| ~ relation(sK1)
| in(ordered_pair(X0,sK5(sK2,sK1,X0,X1)),sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f265,f133]) ).
fof(f265,plain,
! [X3,X0,X1,X4] :
( ~ in(ordered_pair(X3,X4),relation_composition(X0,X1))
| ~ relation(X1)
| in(ordered_pair(X3,sK5(X0,X1,X3,X4)),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f125,f107]) ).
fof(f125,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| in(ordered_pair(X3,sK5(X0,X1,X3,X4)),X0)
| ~ in(ordered_pair(X3,X4),relation_composition(X0,X1)) ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| in(ordered_pair(X3,sK5(X0,X1,X3,X4)),X0)
| ~ in(ordered_pair(X3,X4),X2)
| relation_composition(X0,X1) != X2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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.dH9ndZgpOQ/Vampire---4.8_3452',d8_relat_1) ).
fof(f698,plain,
( in(sK5(sK2,sK1,sK0,sK8(sF18,sK0)),relation_dom(sK1))
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f692,f72]) ).
fof(f692,plain,
( ~ relation(sK1)
| in(sK5(sK2,sK1,sK0,sK8(sF18,sK0)),relation_dom(sK1))
| ~ spl21_1 ),
inference(resolution,[],[f356,f127]) ).
fof(f356,plain,
( in(ordered_pair(sK5(sK2,sK1,sK0,sK8(sF18,sK0)),sK8(sF18,sK0)),sK1)
| ~ spl21_1 ),
inference(resolution,[],[f259,f216]) ).
fof(f259,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF18)
| in(ordered_pair(sK5(sK2,sK1,X0,X1),X1),sK1) ),
inference(subsumption_resolution,[],[f258,f70]) ).
fof(f258,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF18)
| in(ordered_pair(sK5(sK2,sK1,X0,X1),X1),sK1)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f257,f72]) ).
fof(f257,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF18)
| ~ relation(sK1)
| in(ordered_pair(sK5(sK2,sK1,X0,X1),X1),sK1)
| ~ relation(sK2) ),
inference(superposition,[],[f256,f133]) ).
fof(f256,plain,
! [X3,X0,X1,X4] :
( ~ in(ordered_pair(X3,X4),relation_composition(X0,X1))
| ~ relation(X1)
| in(ordered_pair(sK5(X0,X1,X3,X4),X4),X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f124,f107]) ).
fof(f124,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| in(ordered_pair(sK5(X0,X1,X3,X4),X4),X1)
| ~ in(ordered_pair(X3,X4),relation_composition(X0,X1)) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| in(ordered_pair(sK5(X0,X1,X3,X4),X4),X1)
| ~ in(ordered_pair(X3,X4),X2)
| relation_composition(X0,X1) != X2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f633,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f632,plain,
( $false
| spl21_1
| ~ spl21_2
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f631,f405]) ).
fof(f405,plain,
( ~ in(sK0,relation_dom(sF18))
| spl21_1 ),
inference(forward_demodulation,[],[f141,f134]) ).
fof(f141,plain,
( ~ in(sK0,sF19)
| spl21_1 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f631,plain,
( in(sK0,relation_dom(sF18))
| ~ spl21_2
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f624,f200]) ).
fof(f624,plain,
( ~ relation(sF18)
| in(sK0,relation_dom(sF18))
| ~ spl21_2
| ~ spl21_3 ),
inference(resolution,[],[f619,f127]) ).
fof(f619,plain,
( in(ordered_pair(sK0,sK8(sK1,sK8(sK2,sK0))),sF18)
| ~ spl21_2
| ~ spl21_3 ),
inference(forward_demodulation,[],[f618,f133]) ).
fof(f618,plain,
( in(ordered_pair(sK0,sK8(sK1,sK8(sK2,sK0))),relation_composition(sK2,sK1))
| ~ spl21_2
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f617,f72]) ).
fof(f617,plain,
( ~ relation(sK1)
| in(ordered_pair(sK0,sK8(sK1,sK8(sK2,sK0))),relation_composition(sK2,sK1))
| ~ spl21_2
| ~ spl21_3 ),
inference(resolution,[],[f429,f476]) ).
fof(f476,plain,
( in(ordered_pair(sK8(sK2,sK0),sK8(sK1,sK8(sK2,sK0))),sK1)
| ~ spl21_2
| ~ spl21_3 ),
inference(backward_demodulation,[],[f217,f431]) ).
fof(f217,plain,
( in(ordered_pair(apply(sK2,sK0),sK8(sK1,apply(sK2,sK0))),sK1)
| ~ spl21_2 ),
inference(subsumption_resolution,[],[f215,f72]) ).
fof(f215,plain,
( in(ordered_pair(apply(sK2,sK0),sK8(sK1,apply(sK2,sK0))),sK1)
| ~ relation(sK1)
| ~ spl21_2 ),
inference(resolution,[],[f126,f166]) ).
fof(f166,plain,
( in(apply(sK2,sK0),relation_dom(sK1))
| ~ spl21_2 ),
inference(backward_demodulation,[],[f156,f131]) ).
fof(f156,plain,
( in(sF16,relation_dom(sK1))
| ~ spl21_2 ),
inference(backward_demodulation,[],[f146,f132]) ).
fof(f146,plain,
( in(sF16,sF17)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f429,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(sK8(sK2,sK0),X1),X0)
| ~ relation(X0)
| in(ordered_pair(sK0,X1),relation_composition(sK2,X0)) )
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f424,f70]) ).
fof(f424,plain,
( ! [X0,X1] :
( ~ relation(X0)
| ~ relation(sK2)
| ~ in(ordered_pair(sK8(sK2,sK0),X1),X0)
| in(ordered_pair(sK0,X1),relation_composition(sK2,X0)) )
| ~ spl21_3 ),
inference(resolution,[],[f412,f282]) ).
fof(f282,plain,
! [X3,X0,X1,X4,X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ in(ordered_pair(X5,X4),X1)
| in(ordered_pair(X3,X4),relation_composition(X0,X1)) ),
inference(subsumption_resolution,[],[f123,f107]) ).
fof(f123,plain,
! [X3,X0,X1,X4,X5] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1)
| in(ordered_pair(X3,X4),relation_composition(X0,X1)) ),
inference(equality_resolution,[],[f80]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1)
| in(ordered_pair(X3,X4),X2)
| relation_composition(X0,X1) != X2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f385,plain,
( ~ spl21_1
| spl21_3 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl21_1
| spl21_3 ),
inference(subsumption_resolution,[],[f383,f158]) ).
fof(f158,plain,
( ~ in(sK0,relation_dom(sK2))
| spl21_3 ),
inference(backward_demodulation,[],[f150,f136]) ).
fof(f150,plain,
( ~ in(sK0,sF20)
| spl21_3 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f383,plain,
( in(sK0,relation_dom(sK2))
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f377,f70]) ).
fof(f377,plain,
( ~ relation(sK2)
| in(sK0,relation_dom(sK2))
| ~ spl21_1 ),
inference(resolution,[],[f361,f127]) ).
fof(f155,plain,
( ~ spl21_3
| ~ spl21_1
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f154,f144,f140,f149]) ).
fof(f154,plain,
( ~ in(sK0,sF20)
| ~ spl21_1
| ~ spl21_2 ),
inference(subsumption_resolution,[],[f153,f142]) ).
fof(f153,plain,
( ~ in(sK0,sF20)
| ~ in(sK0,sF19)
| ~ spl21_2 ),
inference(subsumption_resolution,[],[f138,f146]) ).
fof(f138,plain,
( ~ in(sK0,sF20)
| ~ in(sF16,sF17)
| ~ in(sK0,sF19) ),
inference(definition_folding,[],[f67,f134,f133,f132,f131,f136]) ).
fof(f67,plain,
( ~ in(sK0,relation_dom(sK2))
| ~ in(apply(sK2,sK0),relation_dom(sK1))
| ~ in(sK0,relation_dom(relation_composition(sK2,sK1))) ),
inference(cnf_transformation,[],[f45]) ).
fof(f152,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f137,f149,f140]) ).
fof(f137,plain,
( in(sK0,sF20)
| in(sK0,sF19) ),
inference(definition_folding,[],[f68,f134,f133,f136]) ).
fof(f68,plain,
( in(sK0,relation_dom(sK2))
| in(sK0,relation_dom(relation_composition(sK2,sK1))) ),
inference(cnf_transformation,[],[f45]) ).
fof(f147,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f135,f144,f140]) ).
fof(f135,plain,
( in(sF16,sF17)
| in(sK0,sF19) ),
inference(definition_folding,[],[f69,f134,f133,f132,f131]) ).
fof(f69,plain,
( in(apply(sK2,sK0),relation_dom(sK1))
| in(sK0,relation_dom(relation_composition(sK2,sK1))) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU213+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % 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
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 12:15:15 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.34 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.dH9ndZgpOQ/Vampire---4.8_3452
% 0.47/0.72 % (3782)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)
% 0.47/0.72 % (3775)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)
% 0.47/0.72 % (3777)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.72 % (3778)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)
% 0.47/0.72 % (3779)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)
% 0.47/0.72 % (3780)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)
% 0.47/0.72 % (3776)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)
% 0.47/0.72 % (3781)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)
% 0.47/0.72 % (3782)Refutation not found, incomplete strategy% (3782)------------------------------
% 0.47/0.72 % (3782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.72 % (3782)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.72
% 0.47/0.72 % (3782)Memory used [KB]: 1085
% 0.47/0.72 % (3782)Time elapsed: 0.003 s
% 0.47/0.72 % (3782)Instructions burned: 5 (million)
% 0.47/0.72 % (3782)------------------------------
% 0.47/0.72 % (3782)------------------------------
% 0.47/0.72 % (3780)Refutation not found, incomplete strategy% (3780)------------------------------
% 0.47/0.72 % (3780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.72 % (3780)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.72
% 0.47/0.72 % (3780)Memory used [KB]: 1071
% 0.47/0.72 % (3780)Time elapsed: 0.004 s
% 0.47/0.72 % (3780)Instructions burned: 5 (million)
% 0.47/0.72 % (3780)------------------------------
% 0.47/0.72 % (3780)------------------------------
% 0.47/0.73 % (3784)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)
% 0.47/0.73 % (3785)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)
% 0.56/0.74 % (3778)Instruction limit reached!
% 0.56/0.74 % (3778)------------------------------
% 0.56/0.74 % (3778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3778)Termination reason: Unknown
% 0.56/0.74 % (3778)Termination phase: Saturation
% 0.56/0.74
% 0.56/0.74 % (3778)Memory used [KB]: 1562
% 0.56/0.74 % (3778)Time elapsed: 0.019 s
% 0.56/0.74 % (3778)Instructions burned: 33 (million)
% 0.56/0.74 % (3778)------------------------------
% 0.56/0.74 % (3778)------------------------------
% 0.56/0.74 % (3779)Instruction limit reached!
% 0.56/0.74 % (3779)------------------------------
% 0.56/0.74 % (3779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3779)Termination reason: Unknown
% 0.56/0.74 % (3779)Termination phase: Saturation
% 0.56/0.74
% 0.56/0.74 % (3779)Memory used [KB]: 1470
% 0.56/0.74 % (3779)Time elapsed: 0.022 s
% 0.56/0.74 % (3779)Instructions burned: 35 (million)
% 0.56/0.74 % (3779)------------------------------
% 0.56/0.74 % (3779)------------------------------
% 0.56/0.74 % (3784)Instruction limit reached!
% 0.56/0.74 % (3784)------------------------------
% 0.56/0.74 % (3784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3784)Termination reason: Unknown
% 0.56/0.74 % (3784)Termination phase: Saturation
% 0.56/0.74
% 0.56/0.74 % (3784)Memory used [KB]: 1910
% 0.56/0.74 % (3784)Time elapsed: 0.018 s
% 0.56/0.74 % (3784)Instructions burned: 56 (million)
% 0.56/0.74 % (3784)------------------------------
% 0.56/0.74 % (3784)------------------------------
% 0.56/0.74 % (3775)Instruction limit reached!
% 0.56/0.74 % (3775)------------------------------
% 0.56/0.74 % (3775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3775)Termination reason: Unknown
% 0.56/0.74 % (3775)Termination phase: Saturation
% 0.56/0.74
% 0.56/0.74 % (3775)Memory used [KB]: 1399
% 0.56/0.74 % (3775)Time elapsed: 0.023 s
% 0.56/0.74 % (3775)Instructions burned: 34 (million)
% 0.56/0.74 % (3775)------------------------------
% 0.56/0.74 % (3775)------------------------------
% 0.56/0.74 % (3790)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)
% 0.56/0.74 % (3793)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.75 % (3792)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)
% 0.56/0.75 % (3794)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.75 % (3793)Refutation not found, incomplete strategy% (3793)------------------------------
% 0.56/0.75 % (3793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (3793)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (3793)Memory used [KB]: 1142
% 0.56/0.75 % (3793)Time elapsed: 0.003 s
% 0.56/0.75 % (3793)Instructions burned: 8 (million)
% 0.56/0.75 % (3793)------------------------------
% 0.56/0.75 % (3793)------------------------------
% 0.56/0.75 % (3797)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 (2996ds/243Mi)
% 0.56/0.75 % (3776)Instruction limit reached!
% 0.56/0.75 % (3776)------------------------------
% 0.56/0.75 % (3776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (3776)Termination reason: Unknown
% 0.56/0.75 % (3776)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (3776)Memory used [KB]: 1643
% 0.56/0.75 % (3776)Time elapsed: 0.034 s
% 0.56/0.75 % (3776)Instructions burned: 51 (million)
% 0.56/0.75 % (3776)------------------------------
% 0.56/0.75 % (3776)------------------------------
% 0.56/0.76 % (3785)Instruction limit reached!
% 0.56/0.76 % (3785)------------------------------
% 0.56/0.76 % (3785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (3785)Termination reason: Unknown
% 0.56/0.76 % (3785)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (3785)Memory used [KB]: 1705
% 0.56/0.76 % (3785)Time elapsed: 0.029 s
% 0.56/0.76 % (3785)Instructions burned: 50 (million)
% 0.56/0.76 % (3785)------------------------------
% 0.56/0.76 % (3785)------------------------------
% 0.56/0.76 % (3798)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)
% 0.56/0.76 % (3781)Instruction limit reached!
% 0.56/0.76 % (3781)------------------------------
% 0.56/0.76 % (3781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (3799)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)
% 0.56/0.76 % (3781)Termination reason: Unknown
% 0.56/0.76 % (3781)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (3781)Memory used [KB]: 1466
% 0.56/0.76 % (3781)Time elapsed: 0.041 s
% 0.56/0.76 % (3781)Instructions burned: 84 (million)
% 0.56/0.76 % (3781)------------------------------
% 0.56/0.76 % (3781)------------------------------
% 0.56/0.76 % (3802)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)
% 0.56/0.77 % (3797)First to succeed.
% 0.56/0.77 % (3797)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3616"
% 0.56/0.77 % (3797)Refutation found. Thanks to Tanya!
% 0.56/0.77 % SZS status Theorem for Vampire---4
% 0.56/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.77 % (3797)------------------------------
% 0.56/0.77 % (3797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (3797)Termination reason: Refutation
% 0.56/0.77
% 0.56/0.77 % (3797)Memory used [KB]: 1360
% 0.56/0.77 % (3797)Time elapsed: 0.019 s
% 0.56/0.77 % (3797)Instructions burned: 52 (million)
% 0.56/0.77 % (3616)Success in time 0.416 s
% 0.56/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------