TSTP Solution File: SEU051+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU051+1 : TPTP v8.2.0. 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 : n029.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 : Tue May 21 03:44:35 EDT 2024
% Result : Theorem 0.91s 0.80s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 84 ( 7 unt; 0 def)
% Number of atoms : 316 ( 36 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 404 ( 172 ~; 170 |; 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 : 134 ( 125 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f662,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f294,f299,f452,f462,f661]) ).
fof(f661,plain,
( ~ spl20_2
| ~ spl20_4
| ~ spl20_5 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f660,plain,
( $false
| ~ spl20_2
| ~ spl20_4
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f651,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/sandbox2/benchmark/theBenchmark.p',t120_funct_1) ).
fof(f651,plain,
( subset(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))
| ~ spl20_2
| ~ spl20_4
| ~ spl20_5 ),
inference(resolution,[],[f578,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/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f578,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(resolution,[],[f468,f237]) ).
fof(f237,plain,
( in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),sK16)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl20_2
<=> 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_2])]) ).
fof(f468,plain,
( ! [X0] :
( ~ in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),X0)
| in(sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),relation_image(sK17,X0)) )
| ~ spl20_4
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f467,f118]) ).
fof(f118,plain,
relation(sK17),
inference(cnf_transformation,[],[f60]) ).
fof(f467,plain,
( ! [X0] :
( in(sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),relation_image(sK17,X0))
| ~ in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),X0)
| ~ relation(sK17) )
| ~ spl20_4
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f466,f309]) ).
fof(f309,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,[],[f308,f118]) ).
fof(f308,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,[],[f301,f119]) ).
fof(f119,plain,
function(sK17),
inference(cnf_transformation,[],[f60]) ).
fof(f301,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,[],[f293,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(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/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
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(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/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
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(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/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f293,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,[],[f291]) ).
fof(f291,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(f466,plain,
( ! [X0] :
( in(sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),relation_image(sK17,X0))
| ~ in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),relation_dom(sK17))
| ~ in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),X0)
| ~ relation(sK17) )
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f465,f119]) ).
fof(f465,plain,
( ! [X0] :
( in(sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),relation_image(sK17,X0))
| ~ 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))
| ~ in(sK1(relation_rng_restriction(sK15,sK17),sK16,sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16))),X0)
| ~ relation(sK17) )
| ~ spl20_5 ),
inference(superposition,[],[f141,f448]) ).
fof(f448,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_5 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl20_5
<=> 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)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f141,plain,
! [X0,X1,X4] :
( in(apply(X0,X4),relation_image(X0,X1))
| ~ function(X0)
| ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| ~ relation(X0) ),
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/sandbox2/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f462,plain,
spl20_1,
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| spl20_1 ),
inference(subsumption_resolution,[],[f459,f118]) ).
fof(f459,plain,
( ~ relation(sK17)
| spl20_1 ),
inference(resolution,[],[f233,f86]) ).
fof(f233,plain,
( ~ relation(relation_rng_restriction(sK15,sK17))
| spl20_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl20_1
<=> relation(relation_rng_restriction(sK15,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f452,plain,
( ~ spl20_1
| spl20_5
| ~ spl20_3
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f451,f291,f239,f446,f231]) ).
fof(f239,plain,
( spl20_3
<=> function(relation_rng_restriction(sK15,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f451,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))))
| ~ relation(relation_rng_restriction(sK15,sK17))
| ~ spl20_3
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f450,f223]) ).
fof(f223,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(f450,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))))
| ~ relation(relation_rng_restriction(sK15,sK17))
| ~ in(sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),relation_image(relation_rng_restriction(sK15,sK17),sK16))
| ~ spl20_3
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f441,f240]) ).
fof(f240,plain,
( function(relation_rng_restriction(sK15,sK17))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f441,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))))
| ~ function(relation_rng_restriction(sK15,sK17))
| ~ relation(relation_rng_restriction(sK15,sK17))
| ~ in(sK3(relation_image(relation_rng_restriction(sK15,sK17),sK16),relation_image(sK17,sK16)),relation_image(relation_rng_restriction(sK15,sK17),sK16))
| ~ spl20_4 ),
inference(superposition,[],[f142,f439]) ).
fof(f439,plain,
( apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,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_4 ),
inference(subsumption_resolution,[],[f438,f118]) ).
fof(f438,plain,
( ~ relation(sK17)
| apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,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_4 ),
inference(subsumption_resolution,[],[f433,f119]) ).
fof(f433,plain,
( ~ function(sK17)
| ~ relation(sK17)
| apply(sK17,sK1(relation_rng_restriction(sK15,sK17),sK16,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_4 ),
inference(resolution,[],[f150,f293]) ).
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(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(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(f142,plain,
! [X3,X0,X1] :
( apply(X0,sK1(X0,X1,X3)) = X3
| ~ function(X0)
| ~ relation(X0)
| ~ in(X3,relation_image(X0,X1)) ),
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]) ).
fof(f299,plain,
spl20_3,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| spl20_3 ),
inference(subsumption_resolution,[],[f297,f118]) ).
fof(f297,plain,
( ~ relation(sK17)
| spl20_3 ),
inference(subsumption_resolution,[],[f295,f119]) ).
fof(f295,plain,
( ~ function(sK17)
| ~ relation(sK17)
| spl20_3 ),
inference(resolution,[],[f241,f95]) ).
fof(f241,plain,
( ~ function(relation_rng_restriction(sK15,sK17))
| spl20_3 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f294,plain,
( ~ spl20_1
| spl20_4
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f289,f239,f291,f231]) ).
fof(f289,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,[],[f144,f223]) ).
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(f242,plain,
( ~ spl20_1
| spl20_2
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f229,f239,f235,f231]) ).
fof(f229,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,[],[f143,f223]) ).
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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU051+1 : TPTP v8.2.0. 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
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun May 19 15:23:08 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.33 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/benchmark/theBenchmark.p
% 0.55/0.72 % (15314)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73 % (15307)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.73 % (15308)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.73 % (15309)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73 % (15311)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.73 % (15310)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73 % (15312)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73 % (15313)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.73 % (15312)Refutation not found, incomplete strategy% (15312)------------------------------
% 0.55/0.73 % (15312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (15312)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (15312)Memory used [KB]: 1118
% 0.55/0.73 % (15312)Time elapsed: 0.004 s
% 0.55/0.73 % (15312)Instructions burned: 5 (million)
% 0.55/0.73 % (15312)------------------------------
% 0.55/0.73 % (15312)------------------------------
% 0.55/0.73 % (15319)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.74 % (15307)Instruction limit reached!
% 0.55/0.74 % (15307)------------------------------
% 0.55/0.74 % (15307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15307)Termination reason: Unknown
% 0.55/0.74 % (15307)Termination phase: Saturation
% 0.55/0.74
% 0.55/0.74 % (15307)Memory used [KB]: 1202
% 0.55/0.74 % (15307)Time elapsed: 0.019 s
% 0.55/0.74 % (15307)Instructions burned: 36 (million)
% 0.55/0.74 % (15307)------------------------------
% 0.55/0.74 % (15307)------------------------------
% 0.55/0.74 % (15310)Instruction limit reached!
% 0.55/0.74 % (15310)------------------------------
% 0.55/0.74 % (15310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15310)Termination reason: Unknown
% 0.55/0.74 % (15310)Termination phase: Saturation
% 0.55/0.74
% 0.55/0.74 % (15310)Memory used [KB]: 1361
% 0.55/0.74 % (15310)Time elapsed: 0.020 s
% 0.55/0.74 % (15310)Instructions burned: 34 (million)
% 0.55/0.74 % (15310)------------------------------
% 0.55/0.74 % (15310)------------------------------
% 0.55/0.74 % (15314)Instruction limit reached!
% 0.55/0.74 % (15314)------------------------------
% 0.55/0.74 % (15314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15314)Termination reason: Unknown
% 0.55/0.74 % (15314)Termination phase: Saturation
% 0.55/0.74
% 0.55/0.74 % (15314)Memory used [KB]: 1682
% 0.55/0.74 % (15314)Time elapsed: 0.021 s
% 0.55/0.74 % (15314)Instructions burned: 58 (million)
% 0.55/0.74 % (15314)------------------------------
% 0.55/0.74 % (15314)------------------------------
% 0.55/0.75 % (15322)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 theBenchmark for (2996ds/52Mi)
% 0.55/0.75 % (15311)Instruction limit reached!
% 0.55/0.75 % (15311)------------------------------
% 0.55/0.75 % (15311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (15311)Termination reason: Unknown
% 0.55/0.75 % (15311)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (15311)Memory used [KB]: 1537
% 0.55/0.75 % (15311)Time elapsed: 0.023 s
% 0.55/0.75 % (15311)Instructions burned: 34 (million)
% 0.55/0.75 % (15311)------------------------------
% 0.55/0.75 % (15311)------------------------------
% 0.55/0.75 % (15320)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.75 % (15321)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.75 % (15308)Instruction limit reached!
% 0.55/0.75 % (15308)------------------------------
% 0.55/0.75 % (15308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (15308)Termination reason: Unknown
% 0.55/0.75 % (15308)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (15308)Memory used [KB]: 1487
% 0.55/0.75 % (15308)Time elapsed: 0.027 s
% 0.55/0.75 % (15308)Instructions burned: 51 (million)
% 0.55/0.75 % (15308)------------------------------
% 0.55/0.75 % (15308)------------------------------
% 0.55/0.75 % (15323)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 theBenchmark for (2995ds/518Mi)
% 0.55/0.76 % (15323)Refutation not found, incomplete strategy% (15323)------------------------------
% 0.55/0.76 % (15323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (15323)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (15323)Memory used [KB]: 1129
% 0.55/0.76 % (15323)Time elapsed: 0.006 s
% 0.55/0.76 % (15323)Instructions burned: 6 (million)
% 0.55/0.76 % (15324)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 theBenchmark for (2995ds/42Mi)
% 0.55/0.76 % (15323)------------------------------
% 0.55/0.76 % (15323)------------------------------
% 0.55/0.76 % (15325)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 theBenchmark for (2995ds/243Mi)
% 0.55/0.77 % (15319)Instruction limit reached!
% 0.55/0.77 % (15319)------------------------------
% 0.55/0.77 % (15319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (15319)Termination reason: Unknown
% 0.55/0.77 % (15319)Termination phase: Saturation
% 0.55/0.77
% 0.55/0.77 % (15319)Memory used [KB]: 1767
% 0.55/0.77 % (15319)Time elapsed: 0.033 s
% 0.55/0.77 % (15319)Instructions burned: 56 (million)
% 0.55/0.77 % (15319)------------------------------
% 0.55/0.77 % (15319)------------------------------
% 0.55/0.77 % (15322)Instruction limit reached!
% 0.55/0.77 % (15322)------------------------------
% 0.55/0.77 % (15322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (15322)Termination reason: Unknown
% 0.55/0.77 % (15322)Termination phase: Saturation
% 0.55/0.77
% 0.55/0.77 % (15322)Memory used [KB]: 1552
% 0.55/0.77 % (15322)Time elapsed: 0.020 s
% 0.55/0.77 % (15322)Instructions burned: 52 (million)
% 0.55/0.77 % (15322)------------------------------
% 0.55/0.77 % (15322)------------------------------
% 0.55/0.77 % (15327)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 theBenchmark for (2995ds/143Mi)
% 0.55/0.77 % (15326)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.55/0.77 % (15320)Instruction limit reached!
% 0.55/0.77 % (15320)------------------------------
% 0.55/0.77 % (15320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (15320)Termination reason: Unknown
% 0.55/0.77 % (15320)Termination phase: Saturation
% 0.55/0.77
% 0.55/0.77 % (15320)Memory used [KB]: 1594
% 0.55/0.77 % (15320)Time elapsed: 0.029 s
% 0.55/0.77 % (15320)Instructions burned: 51 (million)
% 0.55/0.77 % (15320)------------------------------
% 0.55/0.77 % (15320)------------------------------
% 0.55/0.78 % (15309)Instruction limit reached!
% 0.55/0.78 % (15309)------------------------------
% 0.55/0.78 % (15309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78 % (15309)Termination reason: Unknown
% 0.55/0.78 % (15309)Termination phase: Saturation
% 0.55/0.78
% 0.55/0.78 % (15309)Memory used [KB]: 1797
% 0.55/0.78 % (15309)Time elapsed: 0.051 s
% 0.55/0.78 % (15309)Instructions burned: 79 (million)
% 0.55/0.78 % (15309)------------------------------
% 0.55/0.78 % (15309)------------------------------
% 0.55/0.78 % (15313)Instruction limit reached!
% 0.55/0.78 % (15313)------------------------------
% 0.55/0.78 % (15313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78 % (15313)Termination reason: Unknown
% 0.55/0.78 % (15313)Termination phase: Saturation
% 0.55/0.78
% 0.55/0.78 % (15313)Memory used [KB]: 2014
% 0.55/0.78 % (15313)Time elapsed: 0.052 s
% 0.55/0.78 % (15313)Instructions burned: 84 (million)
% 0.55/0.78 % (15313)------------------------------
% 0.55/0.78 % (15313)------------------------------
% 0.55/0.78 % (15331)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 theBenchmark for (2995ds/93Mi)
% 0.55/0.78 % (15332)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 theBenchmark for (2995ds/62Mi)
% 0.55/0.78 % (15324)Instruction limit reached!
% 0.55/0.78 % (15324)------------------------------
% 0.55/0.78 % (15324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78 % (15324)Termination reason: Unknown
% 0.55/0.78 % (15324)Termination phase: Saturation
% 0.55/0.78
% 0.55/0.78 % (15324)Memory used [KB]: 1562
% 0.55/0.78 % (15324)Time elapsed: 0.026 s
% 0.55/0.78 % (15324)Instructions burned: 42 (million)
% 0.55/0.78 % (15324)------------------------------
% 0.55/0.78 % (15324)------------------------------
% 0.55/0.78 % (15334)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 theBenchmark for (2995ds/32Mi)
% 0.91/0.78 % (15336)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 theBenchmark for (2995ds/1919Mi)
% 0.91/0.80 % (15331)First to succeed.
% 0.91/0.80 % (15334)Instruction limit reached!
% 0.91/0.80 % (15334)------------------------------
% 0.91/0.80 % (15334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.80 % (15334)Termination reason: Unknown
% 0.91/0.80 % (15334)Termination phase: Saturation
% 0.91/0.80
% 0.91/0.80 % (15334)Memory used [KB]: 1381
% 0.91/0.80 % (15334)Time elapsed: 0.021 s
% 0.91/0.80 % (15334)Instructions burned: 33 (million)
% 0.91/0.80 % (15334)------------------------------
% 0.91/0.80 % (15334)------------------------------
% 0.91/0.80 % (15331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15126"
% 0.91/0.80 % (15331)Refutation found. Thanks to Tanya!
% 0.91/0.80 % SZS status Theorem for theBenchmark
% 0.91/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.91/0.80 % (15331)------------------------------
% 0.91/0.80 % (15331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.80 % (15331)Termination reason: Refutation
% 0.91/0.80
% 0.91/0.80 % (15331)Memory used [KB]: 1232
% 0.91/0.80 % (15331)Time elapsed: 0.023 s
% 0.91/0.80 % (15331)Instructions burned: 36 (million)
% 0.91/0.80 % (15126)Success in time 0.451 s
% 0.91/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------