TSTP Solution File: SEU051+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU051+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 03:49:54 EDT 2024
% Result : Theorem 0.60s 0.85s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 82 ( 7 unt; 0 def)
% Number of atoms : 302 ( 35 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 380 ( 160 ~; 158 |; 29 &)
% ( 21 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 131 ( 122 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f559,plain,
$false,
inference(avatar_sat_refutation,[],[f291,f296,f301,f306,f310,f552]) ).
fof(f552,plain,
( ~ spl20_2
| ~ spl20_4
| ~ spl20_5 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl20_2
| ~ spl20_4
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f540,f120]) ).
fof(f120,plain,
~ subset(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ~ subset(relation_image(relation_rng_restriction(X0,X2),X1),relation_image(X2,X1))
& function(X2)
& relation(X2) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ~ subset(relation_image(relation_rng_restriction(X0,X2),X1),relation_image(X2,X1))
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> subset(relation_image(relation_rng_restriction(X0,X2),X1),relation_image(X2,X1)) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> subset(relation_image(relation_rng_restriction(X0,X2),X1),relation_image(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.mdj9GAkA5c/Vampire---4.8_21390',t120_funct_1) ).
fof(f540,plain,
( subset(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))
| ~ spl20_2
| ~ spl20_4
| ~ spl20_5 ),
inference(resolution,[],[f454,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.mdj9GAkA5c/Vampire---4.8_21390',d3_tarski) ).
fof(f454,plain,
( in(sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),relation_image(sK17,sK16))
| ~ spl20_2
| ~ spl20_4
| ~ spl20_5 ),
inference(forward_demodulation,[],[f453,f347]) ).
fof(f347,plain,
( sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)) = apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))))
| ~ spl20_2
| ~ spl20_4 ),
inference(forward_demodulation,[],[f346,f286]) ).
fof(f286,plain,
( sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)) = apply(relation_rng_restriction(sK15,sK17),sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))))
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl20_2
<=> sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)) = apply(relation_rng_restriction(sK15,sK17),sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f346,plain,
( apply(relation_rng_restriction(sK15,sK17),sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)))) = apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))))
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f345,f118]) ).
fof(f118,plain,
relation(sK17),
inference(cnf_transformation,[],[f60]) ).
fof(f345,plain,
( ~ relation(sK17)
| apply(relation_rng_restriction(sK15,sK17),sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)))) = apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))))
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f336,f119]) ).
fof(f119,plain,
function(sK17),
inference(cnf_transformation,[],[f60]) ).
fof(f336,plain,
( ~ function(sK17)
| ~ relation(sK17)
| apply(relation_rng_restriction(sK15,sK17),sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)))) = apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))))
| ~ spl20_4 ),
inference(resolution,[],[f295,f150]) ).
fof(f150,plain,
! [X2,X3,X0] :
( ~ in(X3,relation_dom(relation_rng_restriction(X0,X2)))
| ~ function(X2)
| ~ relation(X2)
| apply(X2,X3) = apply(relation_rng_restriction(X0,X2),X3) ),
inference(subsumption_resolution,[],[f149,f95]) ).
fof(f95,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.mdj9GAkA5c/Vampire---4.8_21390',fc5_funct_1) ).
fof(f149,plain,
! [X2,X3,X0] :
( ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(relation_rng_restriction(X0,X2)))
| apply(X2,X3) = apply(relation_rng_restriction(X0,X2),X3) ),
inference(subsumption_resolution,[],[f145,f86]) ).
fof(f86,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.mdj9GAkA5c/Vampire---4.8_21390',dt_k8_relat_1) ).
fof(f145,plain,
! [X2,X3,X0] :
( ~ relation(relation_rng_restriction(X0,X2))
| ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(relation_rng_restriction(X0,X2)))
| apply(X2,X3) = apply(relation_rng_restriction(X0,X2),X3) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(X1))
| apply(X2,X3) = apply(X1,X3)
| relation_rng_restriction(X0,X2) != X1 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.mdj9GAkA5c/Vampire---4.8_21390',t85_funct_1) ).
fof(f295,plain,
( in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),relation_dom(relation_rng_restriction(sK15,sK17)))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl20_4
<=> in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),relation_dom(relation_rng_restriction(sK15,sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f453,plain,
( in(apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)))),relation_image(sK17,sK16))
| ~ spl20_4
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f452,f118]) ).
fof(f452,plain,
( ~ relation(sK17)
| in(apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)))),relation_image(sK17,sK16))
| ~ spl20_4
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f447,f119]) ).
fof(f447,plain,
( ~ function(sK17)
| ~ relation(sK17)
| in(apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)))),relation_image(sK17,sK16))
| ~ spl20_4
| ~ spl20_5 ),
inference(resolution,[],[f330,f352]) ).
fof(f352,plain,
( in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),relation_dom(sK17))
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f351,f118]) ).
fof(f351,plain,
( in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),relation_dom(sK17))
| ~ relation(sK17)
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f338,f119]) ).
fof(f338,plain,
( ~ function(sK17)
| in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),relation_dom(sK17))
| ~ relation(sK17)
| ~ spl20_4 ),
inference(resolution,[],[f295,f156]) ).
fof(f156,plain,
! [X2,X0,X4] :
( ~ in(X4,relation_dom(relation_rng_restriction(X0,X2)))
| ~ function(X2)
| in(X4,relation_dom(X2))
| ~ relation(X2) ),
inference(subsumption_resolution,[],[f155,f95]) ).
fof(f155,plain,
! [X2,X0,X4] :
( ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(relation_rng_restriction(X0,X2))) ),
inference(subsumption_resolution,[],[f148,f86]) ).
fof(f148,plain,
! [X2,X0,X4] :
( ~ relation(relation_rng_restriction(X0,X2))
| ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(relation_rng_restriction(X0,X2))) ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X0,X1,X4] :
( ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2)
| in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X1))
| relation_rng_restriction(X0,X2) != X1 ),
inference(cnf_transformation,[],[f70]) ).
fof(f330,plain,
( ! [X0] :
( ~ in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| in(apply(X0,sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)))),relation_image(X0,sK16)) )
| ~ spl20_5 ),
inference(resolution,[],[f300,f141]) ).
fof(f141,plain,
! [X0,X1,X4] :
( ~ in(X4,X1)
| ~ function(X0)
| ~ in(X4,relation_dom(X0))
| ~ relation(X0)
| in(apply(X0,X4),relation_image(X0,X1)) ),
inference(equality_resolution,[],[f140]) ).
fof(f140,plain,
! [X2,X0,X1,X4] :
( ~ relation(X0)
| ~ function(X0)
| ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| in(apply(X0,X4),X2)
| relation_image(X0,X1) != X2 ),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ function(X0)
| ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3
| in(X3,X2)
| relation_image(X0,X1) != X2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.mdj9GAkA5c/Vampire---4.8_21390',d12_funct_1) ).
fof(f300,plain,
( in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),sK16)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl20_5
<=> in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f310,plain,
spl20_1,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| spl20_1 ),
inference(subsumption_resolution,[],[f307,f118]) ).
fof(f307,plain,
( ~ relation(sK17)
| spl20_1 ),
inference(resolution,[],[f282,f86]) ).
fof(f282,plain,
( ~ relation(relation_rng_restriction(sK15,sK17))
| spl20_1 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl20_1
<=> relation(relation_rng_restriction(sK15,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f306,plain,
spl20_3,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| spl20_3 ),
inference(subsumption_resolution,[],[f304,f118]) ).
fof(f304,plain,
( ~ relation(sK17)
| spl20_3 ),
inference(subsumption_resolution,[],[f302,f119]) ).
fof(f302,plain,
( ~ function(sK17)
| ~ relation(sK17)
| spl20_3 ),
inference(resolution,[],[f290,f95]) ).
fof(f290,plain,
( ~ function(relation_rng_restriction(sK15,sK17))
| spl20_3 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl20_3
<=> function(relation_rng_restriction(sK15,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f301,plain,
( ~ spl20_1
| spl20_5
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f272,f288,f298,f280]) ).
fof(f272,plain,
( ~ function(relation_rng_restriction(sK15,sK17))
| in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),sK16)
| ~ relation(relation_rng_restriction(sK15,sK17)) ),
inference(resolution,[],[f258,f143]) ).
fof(f143,plain,
! [X3,X0,X1] :
( ~ in(X3,relation_image(X0,X1))
| ~ function(X0)
| in(sK1(X0,X1,X3),X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f80]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| in(sK1(X0,X1,X3),X1)
| ~ in(X3,X2)
| relation_image(X0,X1) != X2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f258,plain,
in(sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),relation_image(relation_rng_restriction(sK15,sK17),sK16)),
inference(resolution,[],[f84,f120]) ).
fof(f84,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f296,plain,
( ~ spl20_1
| spl20_4
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f271,f288,f293,f280]) ).
fof(f271,plain,
( ~ function(relation_rng_restriction(sK15,sK17))
| in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),relation_dom(relation_rng_restriction(sK15,sK17)))
| ~ relation(relation_rng_restriction(sK15,sK17)) ),
inference(resolution,[],[f258,f144]) ).
fof(f144,plain,
! [X3,X0,X1] :
( ~ in(X3,relation_image(X0,X1))
| ~ function(X0)
| in(sK1(X0,X1,X3),relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| in(sK1(X0,X1,X3),relation_dom(X0))
| ~ in(X3,X2)
| relation_image(X0,X1) != X2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f291,plain,
( ~ spl20_1
| spl20_2
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f270,f288,f284,f280]) ).
fof(f270,plain,
( ~ function(relation_rng_restriction(sK15,sK17))
| sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)) = apply(relation_rng_restriction(sK15,sK17),sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))))
| ~ relation(relation_rng_restriction(sK15,sK17)) ),
inference(resolution,[],[f258,f142]) ).
fof(f142,plain,
! [X3,X0,X1] :
( ~ in(X3,relation_image(X0,X1))
| ~ function(X0)
| apply(X0,sK1(X0,X1,X3)) = X3
| ~ relation(X0) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| apply(X0,sK1(X0,X1,X3)) = X3
| ~ in(X3,X2)
| relation_image(X0,X1) != X2 ),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : SEU051+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.39 % Computer : n021.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Tue Apr 30 16:11:56 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.16/0.39 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.39 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.mdj9GAkA5c/Vampire---4.8_21390
% 0.56/0.78 % (21641)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.78 % (21637)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.78 % (21638)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.78 % (21639)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.78 % (21640)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.78 % (21636)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.78 % (21635)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.78 % (21634)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.78 % (21639)Refutation not found, incomplete strategy% (21639)------------------------------
% 0.56/0.78 % (21639)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78 % (21639)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78
% 0.56/0.78 % (21639)Memory used [KB]: 1117
% 0.56/0.78 % (21639)Time elapsed: 0.004 s
% 0.56/0.78 % (21639)Instructions burned: 5 (million)
% 0.56/0.78 % (21639)------------------------------
% 0.56/0.78 % (21639)------------------------------
% 0.56/0.79 % (21645)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)
% 0.60/0.80 % (21637)Instruction limit reached!
% 0.60/0.80 % (21637)------------------------------
% 0.60/0.80 % (21637)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (21637)Termination reason: Unknown
% 0.60/0.80 % (21637)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (21637)Memory used [KB]: 1361
% 0.60/0.80 % (21637)Time elapsed: 0.020 s
% 0.60/0.80 % (21637)Instructions burned: 34 (million)
% 0.60/0.80 % (21637)------------------------------
% 0.60/0.80 % (21637)------------------------------
% 0.60/0.80 % (21634)Instruction limit reached!
% 0.60/0.80 % (21634)------------------------------
% 0.60/0.80 % (21634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (21634)Termination reason: Unknown
% 0.60/0.80 % (21634)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (21634)Memory used [KB]: 1202
% 0.60/0.80 % (21634)Time elapsed: 0.021 s
% 0.60/0.80 % (21634)Instructions burned: 35 (million)
% 0.60/0.80 % (21634)------------------------------
% 0.60/0.80 % (21634)------------------------------
% 0.60/0.80 % (21641)Instruction limit reached!
% 0.60/0.80 % (21641)------------------------------
% 0.60/0.80 % (21641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (21641)Termination reason: Unknown
% 0.60/0.80 % (21641)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (21641)Memory used [KB]: 1684
% 0.60/0.80 % (21641)Time elapsed: 0.022 s
% 0.60/0.80 % (21641)Instructions burned: 58 (million)
% 0.60/0.80 % (21641)------------------------------
% 0.60/0.80 % (21641)------------------------------
% 0.60/0.80 % (21654)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)
% 0.60/0.80 % (21656)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)
% 0.60/0.80 % (21655)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)
% 0.60/0.80 % (21638)Instruction limit reached!
% 0.60/0.80 % (21638)------------------------------
% 0.60/0.80 % (21638)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (21638)Termination reason: Unknown
% 0.60/0.80 % (21638)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (21638)Memory used [KB]: 1537
% 0.60/0.81 % (21638)Time elapsed: 0.027 s
% 0.60/0.81 % (21638)Instructions burned: 35 (million)
% 0.60/0.81 % (21638)------------------------------
% 0.60/0.81 % (21638)------------------------------
% 0.60/0.81 % (21635)Instruction limit reached!
% 0.60/0.81 % (21635)------------------------------
% 0.60/0.81 % (21635)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (21635)Termination reason: Unknown
% 0.60/0.81 % (21635)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (21635)Memory used [KB]: 1491
% 0.60/0.81 % (21635)Time elapsed: 0.029 s
% 0.60/0.81 % (21635)Instructions burned: 52 (million)
% 0.60/0.81 % (21635)------------------------------
% 0.60/0.81 % (21635)------------------------------
% 0.60/0.81 % (21663)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)
% 0.60/0.81 % (21664)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)
% 0.60/0.81 % (21663)Refutation not found, incomplete strategy% (21663)------------------------------
% 0.60/0.81 % (21663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (21663)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (21663)Memory used [KB]: 1128
% 0.60/0.81 % (21663)Time elapsed: 0.006 s
% 0.60/0.81 % (21663)Instructions burned: 6 (million)
% 0.60/0.81 % (21663)------------------------------
% 0.60/0.81 % (21663)------------------------------
% 0.60/0.82 % (21669)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)
% 0.60/0.82 % (21645)Instruction limit reached!
% 0.60/0.82 % (21645)------------------------------
% 0.60/0.82 % (21645)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (21645)Termination reason: Unknown
% 0.60/0.82 % (21645)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (21645)Memory used [KB]: 1667
% 0.60/0.82 % (21645)Time elapsed: 0.035 s
% 0.60/0.82 % (21645)Instructions burned: 56 (million)
% 0.60/0.82 % (21645)------------------------------
% 0.60/0.82 % (21645)------------------------------
% 0.60/0.82 % (21656)Instruction limit reached!
% 0.60/0.82 % (21656)------------------------------
% 0.60/0.82 % (21656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (21656)Termination reason: Unknown
% 0.60/0.82 % (21656)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (21656)Memory used [KB]: 1615
% 0.60/0.82 % (21656)Time elapsed: 0.021 s
% 0.60/0.82 % (21656)Instructions burned: 54 (million)
% 0.60/0.82 % (21656)------------------------------
% 0.60/0.82 % (21656)------------------------------
% 0.60/0.82 % (21670)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)
% 0.60/0.83 % (21671)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)
% 0.60/0.83 % (21654)Instruction limit reached!
% 0.60/0.83 % (21654)------------------------------
% 0.60/0.83 % (21654)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (21654)Termination reason: Unknown
% 0.60/0.83 % (21654)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (21654)Memory used [KB]: 1589
% 0.60/0.83 % (21654)Time elapsed: 0.029 s
% 0.60/0.83 % (21654)Instructions burned: 50 (million)
% 0.60/0.83 % (21654)------------------------------
% 0.60/0.83 % (21654)------------------------------
% 0.60/0.83 % (21636)Instruction limit reached!
% 0.60/0.83 % (21636)------------------------------
% 0.60/0.83 % (21636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (21636)Termination reason: Unknown
% 0.60/0.83 % (21636)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (21636)Memory used [KB]: 1795
% 0.60/0.83 % (21636)Time elapsed: 0.054 s
% 0.60/0.83 % (21636)Instructions burned: 79 (million)
% 0.60/0.83 % (21636)------------------------------
% 0.60/0.83 % (21636)------------------------------
% 0.60/0.83 % (21640)Instruction limit reached!
% 0.60/0.83 % (21640)------------------------------
% 0.60/0.83 % (21640)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (21640)Termination reason: Unknown
% 0.60/0.83 % (21640)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (21640)Memory used [KB]: 2027
% 0.60/0.83 % (21640)Time elapsed: 0.055 s
% 0.60/0.83 % (21640)Instructions burned: 84 (million)
% 0.60/0.83 % (21640)------------------------------
% 0.60/0.83 % (21640)------------------------------
% 0.60/0.83 % (21672)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)
% 0.60/0.84 % (21673)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.60/0.84 % (21664)Instruction limit reached!
% 0.60/0.84 % (21664)------------------------------
% 0.60/0.84 % (21664)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84 % (21664)Termination reason: Unknown
% 0.60/0.84 % (21664)Termination phase: Saturation
% 0.60/0.84
% 0.60/0.84 % (21664)Memory used [KB]: 1572
% 0.60/0.84 % (21664)Time elapsed: 0.027 s
% 0.60/0.84 % (21664)Instructions burned: 43 (million)
% 0.60/0.84 % (21664)------------------------------
% 0.60/0.84 % (21664)------------------------------
% 0.60/0.84 % (21674)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.60/0.84 % (21675)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.60/0.85 % (21672)First to succeed.
% 0.60/0.85 % (21672)Refutation found. Thanks to Tanya!
% 0.60/0.85 % SZS status Theorem for Vampire---4
% 0.60/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.85 % (21672)------------------------------
% 0.60/0.85 % (21672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.85 % (21672)Termination reason: Refutation
% 0.60/0.85
% 0.60/0.85 % (21672)Memory used [KB]: 1204
% 0.60/0.85 % (21672)Time elapsed: 0.017 s
% 0.60/0.85 % (21672)Instructions burned: 27 (million)
% 0.60/0.85 % (21672)------------------------------
% 0.60/0.85 % (21672)------------------------------
% 0.60/0.85 % (21547)Success in time 0.438 s
% 0.60/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------