TSTP Solution File: CAT034+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT034+2 : TPTP v8.1.2. Released v3.4.0.
% 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 : n024.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 04:43:33 EDT 2024
% Result : Theorem 1.35s 1.08s
% Output : Refutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 45
% Syntax : Number of formulae : 210 ( 11 unt; 0 def)
% Number of atoms : 1112 ( 163 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 1447 ( 545 ~; 533 |; 270 &)
% ( 35 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 15 prp; 0-5 aty)
% Number of functors : 32 ( 32 usr; 2 con; 0-7 aty)
% Number of variables : 399 ( 311 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7167,plain,
$false,
inference(avatar_sat_refutation,[],[f5770,f5833,f6074,f6112,f6175,f6348,f6394,f6433,f6878,f6920,f6964,f7005,f7083,f7116,f7152]) ).
fof(f7152,plain,
spl204_39,
inference(avatar_contradiction_clause,[],[f7151]) ).
fof(f7151,plain,
( $false
| spl204_39 ),
inference(subsumption_resolution,[],[f7150,f4815]) ).
fof(f4815,plain,
v2_cat_1(sK19),
inference(cnf_transformation,[],[f4433]) ).
fof(f4433,plain,
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20))),k3_yoneda_1(sK19,sK20)),u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
& m1_subset_1(sK20,u2_cat_1(sK19))
& l1_cat_1(sK19)
& v2_cat_1(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f3838,f4432,f4431]) ).
fof(f4431,plain,
( ? [X0] :
( ? [X1] :
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0))))
& m1_subset_1(X1,u2_cat_1(X0)) )
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( ? [X1] :
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK19,k3_cat_1(sK19,X1)),k2_yoneda_1(sK19,k2_cat_1(sK19,X1))),k3_yoneda_1(sK19,X1)),u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
& m1_subset_1(X1,u2_cat_1(sK19)) )
& l1_cat_1(sK19)
& v2_cat_1(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f4432,plain,
( ? [X1] :
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK19,k3_cat_1(sK19,X1)),k2_yoneda_1(sK19,k2_cat_1(sK19,X1))),k3_yoneda_1(sK19,X1)),u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
& m1_subset_1(X1,u2_cat_1(sK19)) )
=> ( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20))),k3_yoneda_1(sK19,sK20)),u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
& m1_subset_1(sK20,u2_cat_1(sK19)) ) ),
introduced(choice_axiom,[]) ).
fof(f3838,plain,
? [X0] :
( ? [X1] :
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0))))
& m1_subset_1(X1,u2_cat_1(X0)) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(flattening,[],[f3837]) ).
fof(f3837,plain,
? [X0] :
( ? [X1] :
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0))))
& m1_subset_1(X1,u2_cat_1(X0)) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3807]) ).
fof(f3807,negated_conjecture,
~ ! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u2_cat_1(X0))
=> m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0)))) ) ),
inference(negated_conjecture,[],[f3806]) ).
fof(f3806,conjecture,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u2_cat_1(X0))
=> m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0)))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',t4_yoneda_1) ).
fof(f7150,plain,
( ~ v2_cat_1(sK19)
| spl204_39 ),
inference(subsumption_resolution,[],[f7149,f4816]) ).
fof(f4816,plain,
l1_cat_1(sK19),
inference(cnf_transformation,[],[f4433]) ).
fof(f7149,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_39 ),
inference(subsumption_resolution,[],[f7143,f4817]) ).
fof(f4817,plain,
m1_subset_1(sK20,u2_cat_1(sK19)),
inference(cnf_transformation,[],[f4433]) ).
fof(f7143,plain,
( ~ m1_subset_1(sK20,u2_cat_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_39 ),
inference(resolution,[],[f6877,f4998]) ).
fof(f4998,plain,
! [X0,X1] :
( r2_nattra_1(X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f3917]) ).
fof(f3917,plain,
! [X0] :
( ! [X1] :
( r2_nattra_1(X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ m1_subset_1(X1,u2_cat_1(X0)) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f3916]) ).
fof(f3916,plain,
! [X0] :
( ! [X1] :
( r2_nattra_1(X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ m1_subset_1(X1,u2_cat_1(X0)) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3804]) ).
fof(f3804,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u2_cat_1(X0))
=> r2_nattra_1(X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',t3_yoneda_1) ).
fof(f6877,plain,
( ~ r2_nattra_1(sK19,k1_yoneda_1(sK19),k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)))
| spl204_39 ),
inference(avatar_component_clause,[],[f6875]) ).
fof(f6875,plain,
( spl204_39
<=> r2_nattra_1(sK19,k1_yoneda_1(sK19),k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_39])]) ).
fof(f7116,plain,
( ~ spl204_5
| spl204_38 ),
inference(avatar_contradiction_clause,[],[f7115]) ).
fof(f7115,plain,
( $false
| ~ spl204_5
| spl204_38 ),
inference(subsumption_resolution,[],[f7114,f4815]) ).
fof(f7114,plain,
( ~ v2_cat_1(sK19)
| ~ spl204_5
| spl204_38 ),
inference(subsumption_resolution,[],[f7113,f4816]) ).
fof(f7113,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_5
| spl204_38 ),
inference(subsumption_resolution,[],[f7108,f5751]) ).
fof(f5751,plain,
( m1_subset_1(k2_cat_1(sK19,sK20),u1_cat_1(sK19))
| ~ spl204_5 ),
inference(avatar_component_clause,[],[f5750]) ).
fof(f5750,plain,
( spl204_5
<=> m1_subset_1(k2_cat_1(sK19,sK20),u1_cat_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_5])]) ).
fof(f7108,plain,
( ~ m1_subset_1(k2_cat_1(sK19,sK20),u1_cat_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_38 ),
inference(resolution,[],[f6873,f5003]) ).
fof(f5003,plain,
! [X0,X1] :
( m2_cat_1(k2_yoneda_1(X0,X1),X0,k1_yoneda_1(X0))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f3927]) ).
fof(f3927,plain,
! [X0,X1] :
( m2_cat_1(k2_yoneda_1(X0,X1),X0,k1_yoneda_1(X0))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f3926]) ).
fof(f3926,plain,
! [X0,X1] :
( m2_cat_1(k2_yoneda_1(X0,X1),X0,k1_yoneda_1(X0))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3796]) ).
fof(f3796,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_cat_1(X0))
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k2_yoneda_1(X0,X1),X0,k1_yoneda_1(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',dt_k2_yoneda_1) ).
fof(f6873,plain,
( ~ m2_cat_1(k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| spl204_38 ),
inference(avatar_component_clause,[],[f6871]) ).
fof(f6871,plain,
( spl204_38
<=> m2_cat_1(k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_38])]) ).
fof(f7083,plain,
( ~ spl204_3
| spl204_37 ),
inference(avatar_contradiction_clause,[],[f7082]) ).
fof(f7082,plain,
( $false
| ~ spl204_3
| spl204_37 ),
inference(subsumption_resolution,[],[f7081,f4815]) ).
fof(f7081,plain,
( ~ v2_cat_1(sK19)
| ~ spl204_3
| spl204_37 ),
inference(subsumption_resolution,[],[f7080,f4816]) ).
fof(f7080,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_3
| spl204_37 ),
inference(subsumption_resolution,[],[f7075,f5740]) ).
fof(f5740,plain,
( m1_subset_1(k3_cat_1(sK19,sK20),u1_cat_1(sK19))
| ~ spl204_3 ),
inference(avatar_component_clause,[],[f5739]) ).
fof(f5739,plain,
( spl204_3
<=> m1_subset_1(k3_cat_1(sK19,sK20),u1_cat_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_3])]) ).
fof(f7075,plain,
( ~ m1_subset_1(k3_cat_1(sK19,sK20),u1_cat_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_37 ),
inference(resolution,[],[f6869,f5003]) ).
fof(f6869,plain,
( ~ m2_cat_1(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| spl204_37 ),
inference(avatar_component_clause,[],[f6867]) ).
fof(f6867,plain,
( spl204_37
<=> m2_cat_1(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_37])]) ).
fof(f7005,plain,
( ~ spl204_16
| spl204_41 ),
inference(avatar_contradiction_clause,[],[f7004]) ).
fof(f7004,plain,
( $false
| ~ spl204_16
| spl204_41 ),
inference(subsumption_resolution,[],[f6999,f6009]) ).
fof(f6009,plain,
( sP4(k12_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| ~ spl204_16 ),
inference(avatar_component_clause,[],[f6008]) ).
fof(f6008,plain,
( spl204_16
<=> sP4(k12_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_16])]) ).
fof(f6999,plain,
( ~ sP4(k12_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| spl204_41 ),
inference(resolution,[],[f6919,f5638]) ).
fof(f5638,plain,
! [X2,X1] :
( sP3(X2,X1,k12_nattra_1(X1,X2))
| ~ sP4(k12_nattra_1(X1,X2),X1,X2) ),
inference(equality_resolution,[],[f4960]) ).
fof(f4960,plain,
! [X2,X0,X1] :
( sP3(X2,X1,X0)
| k12_nattra_1(X1,X2) != X0
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f4539]) ).
fof(f4539,plain,
! [X0,X1,X2] :
( ( ( k12_nattra_1(X1,X2) = X0
| ~ sP3(X2,X1,X0) )
& ( sP3(X2,X1,X0)
| k12_nattra_1(X1,X2) != X0 ) )
| ~ sP4(X0,X1,X2) ),
inference(rectify,[],[f4538]) ).
fof(f4538,plain,
! [X2,X0,X1] :
( ( ( k12_nattra_1(X0,X1) = X2
| ~ sP3(X1,X0,X2) )
& ( sP3(X1,X0,X2)
| k12_nattra_1(X0,X1) != X2 ) )
| ~ sP4(X2,X0,X1) ),
inference(nnf_transformation,[],[f4407]) ).
fof(f4407,plain,
! [X2,X0,X1] :
( ( k12_nattra_1(X0,X1) = X2
<=> sP3(X1,X0,X2) )
| ~ sP4(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f6919,plain,
( ~ sP3(k1_yoneda_1(sK19),sK19,k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| spl204_41 ),
inference(avatar_component_clause,[],[f6917]) ).
fof(f6917,plain,
( spl204_41
<=> sP3(k1_yoneda_1(sK19),sK19,k12_nattra_1(sK19,k1_yoneda_1(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_41])]) ).
fof(f6964,plain,
( ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(avatar_contradiction_clause,[],[f6963]) ).
fof(f6963,plain,
( $false
| ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(subsumption_resolution,[],[f6962,f4815]) ).
fof(f6962,plain,
( ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(subsumption_resolution,[],[f6961,f4816]) ).
fof(f6961,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(subsumption_resolution,[],[f6960,f6056]) ).
fof(f6056,plain,
( v2_cat_1(k1_yoneda_1(sK19))
| ~ spl204_19 ),
inference(avatar_component_clause,[],[f6055]) ).
fof(f6055,plain,
( spl204_19
<=> v2_cat_1(k1_yoneda_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_19])]) ).
fof(f6960,plain,
( ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(subsumption_resolution,[],[f6955,f6060]) ).
fof(f6060,plain,
( l1_cat_1(k1_yoneda_1(sK19))
| ~ spl204_20 ),
inference(avatar_component_clause,[],[f6059]) ).
fof(f6059,plain,
( spl204_20
<=> l1_cat_1(k1_yoneda_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_20])]) ).
fof(f6955,plain,
( ~ l1_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(resolution,[],[f6940,f5484]) ).
fof(f5484,plain,
! [X0,X1] :
( m4_nattra_1(k11_nattra_1(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f4280]) ).
fof(f4280,plain,
! [X0,X1] :
( m4_nattra_1(k11_nattra_1(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f4279]) ).
fof(f4279,plain,
! [X0,X1] :
( m4_nattra_1(k11_nattra_1(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3575]) ).
fof(f3575,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m4_nattra_1(k11_nattra_1(X0,X1),X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',dt_k11_nattra_1) ).
fof(f6940,plain,
( ~ m4_nattra_1(k11_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(subsumption_resolution,[],[f6939,f4815]) ).
fof(f6939,plain,
( ~ m4_nattra_1(k11_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(subsumption_resolution,[],[f6938,f4816]) ).
fof(f6938,plain,
( ~ m4_nattra_1(k11_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_40 ),
inference(subsumption_resolution,[],[f6937,f6056]) ).
fof(f6937,plain,
( ~ m4_nattra_1(k11_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_20
| spl204_40 ),
inference(subsumption_resolution,[],[f6932,f6060]) ).
fof(f6932,plain,
( ~ m4_nattra_1(k11_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| ~ l1_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_40 ),
inference(resolution,[],[f6915,f5501]) ).
fof(f5501,plain,
! [X2,X0,X1] :
( sP18(X2,X0,X1)
| ~ m4_nattra_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f4430]) ).
fof(f4430,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP18(X2,X0,X1)
| ~ m4_nattra_1(X2,X0,X1) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(definition_folding,[],[f4284,f4429,f4428]) ).
fof(f4428,plain,
! [X1,X0,X2] :
( sP17(X1,X0,X2)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( ? [X5] :
( ? [X6] :
( r2_nattra_1(X0,X1,X4,X5)
& k4_tarski(k4_tarski(X4,X5),X6) = X3
& m2_nattra_1(X6,X0,X1,X4,X5) )
& m2_cat_1(X5,X0,X1) )
& m2_cat_1(X4,X0,X1) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f4429,plain,
! [X2,X0,X1] :
( ( k11_nattra_1(X0,X1) = X2
<=> sP17(X1,X0,X2) )
| ~ sP18(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f4284,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k11_nattra_1(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( ? [X5] :
( ? [X6] :
( r2_nattra_1(X0,X1,X4,X5)
& k4_tarski(k4_tarski(X4,X5),X6) = X3
& m2_nattra_1(X6,X0,X1,X4,X5) )
& m2_cat_1(X5,X0,X1) )
& m2_cat_1(X4,X0,X1) ) ) )
| ~ m4_nattra_1(X2,X0,X1) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f4283]) ).
fof(f4283,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k11_nattra_1(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( ? [X5] :
( ? [X6] :
( r2_nattra_1(X0,X1,X4,X5)
& k4_tarski(k4_tarski(X4,X5),X6) = X3
& m2_nattra_1(X6,X0,X1,X4,X5) )
& m2_cat_1(X5,X0,X1) )
& m2_cat_1(X4,X0,X1) ) ) )
| ~ m4_nattra_1(X2,X0,X1) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3522]) ).
fof(f3522,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( m4_nattra_1(X2,X0,X1)
=> ( k11_nattra_1(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( ? [X5] :
( ? [X6] :
( r2_nattra_1(X0,X1,X4,X5)
& k4_tarski(k4_tarski(X4,X5),X6) = X3
& m2_nattra_1(X6,X0,X1,X4,X5) )
& m2_cat_1(X5,X0,X1) )
& m2_cat_1(X4,X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',d16_nattra_1) ).
fof(f6915,plain,
( ~ sP18(k11_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| spl204_40 ),
inference(avatar_component_clause,[],[f6913]) ).
fof(f6913,plain,
( spl204_40
<=> sP18(k11_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_40])]) ).
fof(f6920,plain,
( ~ spl204_40
| ~ spl204_41
| spl204_36 ),
inference(avatar_split_clause,[],[f6908,f6863,f6917,f6913]) ).
fof(f6863,plain,
( spl204_36
<=> sP17(k1_yoneda_1(sK19),sK19,u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_36])]) ).
fof(f6908,plain,
( ~ sP3(k1_yoneda_1(sK19),sK19,k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ sP18(k11_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| spl204_36 ),
inference(resolution,[],[f6881,f5699]) ).
fof(f5699,plain,
! [X2,X1] :
( sP17(X2,X1,k11_nattra_1(X1,X2))
| ~ sP18(k11_nattra_1(X1,X2),X1,X2) ),
inference(equality_resolution,[],[f5487]) ).
fof(f5487,plain,
! [X2,X0,X1] :
( sP17(X2,X1,X0)
| k11_nattra_1(X1,X2) != X0
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f4770]) ).
fof(f4770,plain,
! [X0,X1,X2] :
( ( ( k11_nattra_1(X1,X2) = X0
| ~ sP17(X2,X1,X0) )
& ( sP17(X2,X1,X0)
| k11_nattra_1(X1,X2) != X0 ) )
| ~ sP18(X0,X1,X2) ),
inference(rectify,[],[f4769]) ).
fof(f4769,plain,
! [X2,X0,X1] :
( ( ( k11_nattra_1(X0,X1) = X2
| ~ sP17(X1,X0,X2) )
& ( sP17(X1,X0,X2)
| k11_nattra_1(X0,X1) != X2 ) )
| ~ sP18(X2,X0,X1) ),
inference(nnf_transformation,[],[f4429]) ).
fof(f6881,plain,
( ! [X0,X1] :
( ~ sP17(k1_yoneda_1(sK19),sK19,k11_nattra_1(X0,X1))
| ~ sP3(X1,X0,k12_nattra_1(sK19,k1_yoneda_1(sK19))) )
| spl204_36 ),
inference(superposition,[],[f6865,f4963]) ).
fof(f4963,plain,
! [X2,X0,X1] :
( u2_cat_1(X2) = k11_nattra_1(X1,X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f4546]) ).
fof(f4546,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( k10_cat_1(X2,sK85(X0,X1,X2)) != k4_tarski(k4_tarski(sK86(X0,X1,X2),sK86(X0,X1,X2)),k7_nattra_1(X1,X0,sK86(X0,X1,X2)))
& sK85(X0,X1,X2) = sK86(X0,X1,X2)
& m2_cat_1(sK86(X0,X1,X2),X1,X0)
& m1_subset_1(sK85(X0,X1,X2),u1_cat_1(X2)) )
| ~ sP2(X0,X1,X2)
| ~ sP1(X2)
| ( ( k2_mcart_1(k1_mcart_1(sK87(X2))) != k3_cat_1(X2,sK87(X2))
| k1_mcart_1(k1_mcart_1(sK87(X2))) != k2_cat_1(X2,sK87(X2)) )
& m1_subset_1(sK87(X2),u2_cat_1(X2)) )
| u2_cat_1(X2) != k11_nattra_1(X1,X0)
| u1_cat_1(X2) != k7_cat_2(X1,X0) )
& ( ( ! [X6] :
( ! [X7] :
( k10_cat_1(X2,X6) = k4_tarski(k4_tarski(X7,X7),k7_nattra_1(X1,X0,X7))
| X6 != X7
| ~ m2_cat_1(X7,X1,X0) )
| ~ m1_subset_1(X6,u1_cat_1(X2)) )
& sP2(X0,X1,X2)
& sP1(X2)
& ! [X8] :
( ( k2_mcart_1(k1_mcart_1(X8)) = k3_cat_1(X2,X8)
& k1_mcart_1(k1_mcart_1(X8)) = k2_cat_1(X2,X8) )
| ~ m1_subset_1(X8,u2_cat_1(X2)) )
& u2_cat_1(X2) = k11_nattra_1(X1,X0)
& u1_cat_1(X2) = k7_cat_2(X1,X0) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85,sK86,sK87])],[f4542,f4545,f4544,f4543]) ).
fof(f4543,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k10_cat_1(X2,X3) != k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X1,X0,X4))
& X3 = X4
& m2_cat_1(X4,X1,X0) )
& m1_subset_1(X3,u1_cat_1(X2)) )
=> ( ? [X4] :
( k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X1,X0,X4)) != k10_cat_1(X2,sK85(X0,X1,X2))
& sK85(X0,X1,X2) = X4
& m2_cat_1(X4,X1,X0) )
& m1_subset_1(sK85(X0,X1,X2),u1_cat_1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f4544,plain,
! [X0,X1,X2] :
( ? [X4] :
( k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X1,X0,X4)) != k10_cat_1(X2,sK85(X0,X1,X2))
& sK85(X0,X1,X2) = X4
& m2_cat_1(X4,X1,X0) )
=> ( k10_cat_1(X2,sK85(X0,X1,X2)) != k4_tarski(k4_tarski(sK86(X0,X1,X2),sK86(X0,X1,X2)),k7_nattra_1(X1,X0,sK86(X0,X1,X2)))
& sK85(X0,X1,X2) = sK86(X0,X1,X2)
& m2_cat_1(sK86(X0,X1,X2),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f4545,plain,
! [X2] :
( ? [X5] :
( ( k2_mcart_1(k1_mcart_1(X5)) != k3_cat_1(X2,X5)
| k1_mcart_1(k1_mcart_1(X5)) != k2_cat_1(X2,X5) )
& m1_subset_1(X5,u2_cat_1(X2)) )
=> ( ( k2_mcart_1(k1_mcart_1(sK87(X2))) != k3_cat_1(X2,sK87(X2))
| k1_mcart_1(k1_mcart_1(sK87(X2))) != k2_cat_1(X2,sK87(X2)) )
& m1_subset_1(sK87(X2),u2_cat_1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f4542,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ? [X4] :
( k10_cat_1(X2,X3) != k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X1,X0,X4))
& X3 = X4
& m2_cat_1(X4,X1,X0) )
& m1_subset_1(X3,u1_cat_1(X2)) )
| ~ sP2(X0,X1,X2)
| ~ sP1(X2)
| ? [X5] :
( ( k2_mcart_1(k1_mcart_1(X5)) != k3_cat_1(X2,X5)
| k1_mcart_1(k1_mcart_1(X5)) != k2_cat_1(X2,X5) )
& m1_subset_1(X5,u2_cat_1(X2)) )
| u2_cat_1(X2) != k11_nattra_1(X1,X0)
| u1_cat_1(X2) != k7_cat_2(X1,X0) )
& ( ( ! [X6] :
( ! [X7] :
( k10_cat_1(X2,X6) = k4_tarski(k4_tarski(X7,X7),k7_nattra_1(X1,X0,X7))
| X6 != X7
| ~ m2_cat_1(X7,X1,X0) )
| ~ m1_subset_1(X6,u1_cat_1(X2)) )
& sP2(X0,X1,X2)
& sP1(X2)
& ! [X8] :
( ( k2_mcart_1(k1_mcart_1(X8)) = k3_cat_1(X2,X8)
& k1_mcart_1(k1_mcart_1(X8)) = k2_cat_1(X2,X8) )
| ~ m1_subset_1(X8,u2_cat_1(X2)) )
& u2_cat_1(X2) = k11_nattra_1(X1,X0)
& u1_cat_1(X2) = k7_cat_2(X1,X0) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f4541]) ).
fof(f4541,plain,
! [X1,X0,X2] :
( ( sP3(X1,X0,X2)
| ? [X3] :
( ? [X4] :
( k10_cat_1(X2,X3) != k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4))
& X3 = X4
& m2_cat_1(X4,X0,X1) )
& m1_subset_1(X3,u1_cat_1(X2)) )
| ~ sP2(X1,X0,X2)
| ~ sP1(X2)
| ? [X14] :
( ( k2_mcart_1(k1_mcart_1(X14)) != k3_cat_1(X2,X14)
| k1_mcart_1(k1_mcart_1(X14)) != k2_cat_1(X2,X14) )
& m1_subset_1(X14,u2_cat_1(X2)) )
| u2_cat_1(X2) != k11_nattra_1(X0,X1)
| u1_cat_1(X2) != k7_cat_2(X0,X1) )
& ( ( ! [X3] :
( ! [X4] :
( k10_cat_1(X2,X3) = k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4))
| X3 != X4
| ~ m2_cat_1(X4,X0,X1) )
| ~ m1_subset_1(X3,u1_cat_1(X2)) )
& sP2(X1,X0,X2)
& sP1(X2)
& ! [X14] :
( ( k2_mcart_1(k1_mcart_1(X14)) = k3_cat_1(X2,X14)
& k1_mcart_1(k1_mcart_1(X14)) = k2_cat_1(X2,X14) )
| ~ m1_subset_1(X14,u2_cat_1(X2)) )
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& u1_cat_1(X2) = k7_cat_2(X0,X1) )
| ~ sP3(X1,X0,X2) ) ),
inference(flattening,[],[f4540]) ).
fof(f4540,plain,
! [X1,X0,X2] :
( ( sP3(X1,X0,X2)
| ? [X3] :
( ? [X4] :
( k10_cat_1(X2,X3) != k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4))
& X3 = X4
& m2_cat_1(X4,X0,X1) )
& m1_subset_1(X3,u1_cat_1(X2)) )
| ~ sP2(X1,X0,X2)
| ~ sP1(X2)
| ? [X14] :
( ( k2_mcart_1(k1_mcart_1(X14)) != k3_cat_1(X2,X14)
| k1_mcart_1(k1_mcart_1(X14)) != k2_cat_1(X2,X14) )
& m1_subset_1(X14,u2_cat_1(X2)) )
| u2_cat_1(X2) != k11_nattra_1(X0,X1)
| u1_cat_1(X2) != k7_cat_2(X0,X1) )
& ( ( ! [X3] :
( ! [X4] :
( k10_cat_1(X2,X3) = k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4))
| X3 != X4
| ~ m2_cat_1(X4,X0,X1) )
| ~ m1_subset_1(X3,u1_cat_1(X2)) )
& sP2(X1,X0,X2)
& sP1(X2)
& ! [X14] :
( ( k2_mcart_1(k1_mcart_1(X14)) = k3_cat_1(X2,X14)
& k1_mcart_1(k1_mcart_1(X14)) = k2_cat_1(X2,X14) )
| ~ m1_subset_1(X14,u2_cat_1(X2)) )
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& u1_cat_1(X2) = k7_cat_2(X0,X1) )
| ~ sP3(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f4406]) ).
fof(f4406,plain,
! [X1,X0,X2] :
( sP3(X1,X0,X2)
<=> ( ! [X3] :
( ! [X4] :
( k10_cat_1(X2,X3) = k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4))
| X3 != X4
| ~ m2_cat_1(X4,X0,X1) )
| ~ m1_subset_1(X3,u1_cat_1(X2)) )
& sP2(X1,X0,X2)
& sP1(X2)
& ! [X14] :
( ( k2_mcart_1(k1_mcart_1(X14)) = k3_cat_1(X2,X14)
& k1_mcart_1(k1_mcart_1(X14)) = k2_cat_1(X2,X14) )
| ~ m1_subset_1(X14,u2_cat_1(X2)) )
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& u1_cat_1(X2) = k7_cat_2(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f6865,plain,
( ~ sP17(k1_yoneda_1(sK19),sK19,u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
| spl204_36 ),
inference(avatar_component_clause,[],[f6863]) ).
fof(f6878,plain,
( ~ spl204_36
| ~ spl204_37
| ~ spl204_38
| ~ spl204_39 ),
inference(avatar_split_clause,[],[f6861,f6875,f6871,f6867,f6863]) ).
fof(f6861,plain,
( ~ r2_nattra_1(sK19,k1_yoneda_1(sK19),k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)))
| ~ m2_cat_1(k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| ~ m2_cat_1(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| ~ sP17(k1_yoneda_1(sK19),sK19,u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))) ),
inference(subsumption_resolution,[],[f6860,f4815]) ).
fof(f6860,plain,
( ~ r2_nattra_1(sK19,k1_yoneda_1(sK19),k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)))
| ~ m2_cat_1(k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| ~ m2_cat_1(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| ~ sP17(k1_yoneda_1(sK19),sK19,u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
| ~ v2_cat_1(sK19) ),
inference(subsumption_resolution,[],[f6859,f4816]) ).
fof(f6859,plain,
( ~ r2_nattra_1(sK19,k1_yoneda_1(sK19),k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)))
| ~ m2_cat_1(k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| ~ m2_cat_1(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| ~ sP17(k1_yoneda_1(sK19),sK19,u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19) ),
inference(subsumption_resolution,[],[f6856,f4817]) ).
fof(f6856,plain,
( ~ r2_nattra_1(sK19,k1_yoneda_1(sK19),k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)))
| ~ m2_cat_1(k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| ~ m2_cat_1(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),sK19,k1_yoneda_1(sK19))
| ~ sP17(k1_yoneda_1(sK19),sK19,u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
| ~ m1_subset_1(sK20,u2_cat_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19) ),
inference(resolution,[],[f5789,f5002]) ).
fof(f5002,plain,
! [X0,X1] :
( m2_nattra_1(k3_yoneda_1(X0,X1),X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f3925]) ).
fof(f3925,plain,
! [X0,X1] :
( m2_nattra_1(k3_yoneda_1(X0,X1),X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f3924]) ).
fof(f3924,plain,
! [X0,X1] :
( m2_nattra_1(k3_yoneda_1(X0,X1),X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3797]) ).
fof(f3797,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u2_cat_1(X0))
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_nattra_1(k3_yoneda_1(X0,X1),X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',dt_k3_yoneda_1) ).
fof(f5789,plain,
! [X0,X1] :
( ~ m2_nattra_1(k3_yoneda_1(sK19,sK20),X0,X1,k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)))
| ~ r2_nattra_1(X0,X1,k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)))
| ~ m2_cat_1(k2_yoneda_1(sK19,k2_cat_1(sK19,sK20)),X0,X1)
| ~ m2_cat_1(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),X0,X1)
| ~ sP17(X1,X0,u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))) ),
inference(resolution,[],[f5735,f5700]) ).
fof(f5700,plain,
! [X2,X0,X11,X1,X12,X13] :
( r2_hidden(k4_tarski(k4_tarski(X11,X12),X13),X2)
| ~ r2_nattra_1(X1,X0,X11,X12)
| ~ m2_nattra_1(X13,X1,X0,X11,X12)
| ~ m2_cat_1(X12,X1,X0)
| ~ m2_cat_1(X11,X1,X0)
| ~ sP17(X0,X1,X2) ),
inference(equality_resolution,[],[f5494]) ).
fof(f5494,plain,
! [X2,X10,X0,X11,X1,X12,X13] :
( r2_hidden(X10,X2)
| ~ r2_nattra_1(X1,X0,X11,X12)
| k4_tarski(k4_tarski(X11,X12),X13) != X10
| ~ m2_nattra_1(X13,X1,X0,X11,X12)
| ~ m2_cat_1(X12,X1,X0)
| ~ m2_cat_1(X11,X1,X0)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f4780]) ).
fof(f4780,plain,
! [X0,X1,X2] :
( ( sP17(X0,X1,X2)
| ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2_nattra_1(X1,X0,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != sK182(X0,X1,X2)
| ~ m2_nattra_1(X6,X1,X0,X4,X5) )
| ~ m2_cat_1(X5,X1,X0) )
| ~ m2_cat_1(X4,X1,X0) )
| ~ r2_hidden(sK182(X0,X1,X2),X2) )
& ( ( r2_nattra_1(X1,X0,sK183(X0,X1,X2),sK184(X0,X1,X2))
& sK182(X0,X1,X2) = k4_tarski(k4_tarski(sK183(X0,X1,X2),sK184(X0,X1,X2)),sK185(X0,X1,X2))
& m2_nattra_1(sK185(X0,X1,X2),X1,X0,sK183(X0,X1,X2),sK184(X0,X1,X2))
& m2_cat_1(sK184(X0,X1,X2),X1,X0)
& m2_cat_1(sK183(X0,X1,X2),X1,X0) )
| r2_hidden(sK182(X0,X1,X2),X2) ) ) )
& ( ! [X10] :
( ( r2_hidden(X10,X2)
| ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ r2_nattra_1(X1,X0,X11,X12)
| k4_tarski(k4_tarski(X11,X12),X13) != X10
| ~ m2_nattra_1(X13,X1,X0,X11,X12) )
| ~ m2_cat_1(X12,X1,X0) )
| ~ m2_cat_1(X11,X1,X0) ) )
& ( ( r2_nattra_1(X1,X0,sK186(X0,X1,X10),sK187(X0,X1,X10))
& k4_tarski(k4_tarski(sK186(X0,X1,X10),sK187(X0,X1,X10)),sK188(X0,X1,X10)) = X10
& m2_nattra_1(sK188(X0,X1,X10),X1,X0,sK186(X0,X1,X10),sK187(X0,X1,X10))
& m2_cat_1(sK187(X0,X1,X10),X1,X0)
& m2_cat_1(sK186(X0,X1,X10),X1,X0) )
| ~ r2_hidden(X10,X2) ) )
| ~ sP17(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK182,sK183,sK184,sK185,sK186,sK187,sK188])],[f4772,f4779,f4778,f4777,f4776,f4775,f4774,f4773]) ).
fof(f4773,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2_nattra_1(X1,X0,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != X3
| ~ m2_nattra_1(X6,X1,X0,X4,X5) )
| ~ m2_cat_1(X5,X1,X0) )
| ~ m2_cat_1(X4,X1,X0) )
| ~ r2_hidden(X3,X2) )
& ( ? [X7] :
( ? [X8] :
( ? [X9] :
( r2_nattra_1(X1,X0,X7,X8)
& k4_tarski(k4_tarski(X7,X8),X9) = X3
& m2_nattra_1(X9,X1,X0,X7,X8) )
& m2_cat_1(X8,X1,X0) )
& m2_cat_1(X7,X1,X0) )
| r2_hidden(X3,X2) ) )
=> ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2_nattra_1(X1,X0,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != sK182(X0,X1,X2)
| ~ m2_nattra_1(X6,X1,X0,X4,X5) )
| ~ m2_cat_1(X5,X1,X0) )
| ~ m2_cat_1(X4,X1,X0) )
| ~ r2_hidden(sK182(X0,X1,X2),X2) )
& ( ? [X7] :
( ? [X8] :
( ? [X9] :
( r2_nattra_1(X1,X0,X7,X8)
& k4_tarski(k4_tarski(X7,X8),X9) = sK182(X0,X1,X2)
& m2_nattra_1(X9,X1,X0,X7,X8) )
& m2_cat_1(X8,X1,X0) )
& m2_cat_1(X7,X1,X0) )
| r2_hidden(sK182(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4774,plain,
! [X0,X1,X2] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( r2_nattra_1(X1,X0,X7,X8)
& k4_tarski(k4_tarski(X7,X8),X9) = sK182(X0,X1,X2)
& m2_nattra_1(X9,X1,X0,X7,X8) )
& m2_cat_1(X8,X1,X0) )
& m2_cat_1(X7,X1,X0) )
=> ( ? [X8] :
( ? [X9] :
( r2_nattra_1(X1,X0,sK183(X0,X1,X2),X8)
& sK182(X0,X1,X2) = k4_tarski(k4_tarski(sK183(X0,X1,X2),X8),X9)
& m2_nattra_1(X9,X1,X0,sK183(X0,X1,X2),X8) )
& m2_cat_1(X8,X1,X0) )
& m2_cat_1(sK183(X0,X1,X2),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f4775,plain,
! [X0,X1,X2] :
( ? [X8] :
( ? [X9] :
( r2_nattra_1(X1,X0,sK183(X0,X1,X2),X8)
& sK182(X0,X1,X2) = k4_tarski(k4_tarski(sK183(X0,X1,X2),X8),X9)
& m2_nattra_1(X9,X1,X0,sK183(X0,X1,X2),X8) )
& m2_cat_1(X8,X1,X0) )
=> ( ? [X9] :
( r2_nattra_1(X1,X0,sK183(X0,X1,X2),sK184(X0,X1,X2))
& sK182(X0,X1,X2) = k4_tarski(k4_tarski(sK183(X0,X1,X2),sK184(X0,X1,X2)),X9)
& m2_nattra_1(X9,X1,X0,sK183(X0,X1,X2),sK184(X0,X1,X2)) )
& m2_cat_1(sK184(X0,X1,X2),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f4776,plain,
! [X0,X1,X2] :
( ? [X9] :
( r2_nattra_1(X1,X0,sK183(X0,X1,X2),sK184(X0,X1,X2))
& sK182(X0,X1,X2) = k4_tarski(k4_tarski(sK183(X0,X1,X2),sK184(X0,X1,X2)),X9)
& m2_nattra_1(X9,X1,X0,sK183(X0,X1,X2),sK184(X0,X1,X2)) )
=> ( r2_nattra_1(X1,X0,sK183(X0,X1,X2),sK184(X0,X1,X2))
& sK182(X0,X1,X2) = k4_tarski(k4_tarski(sK183(X0,X1,X2),sK184(X0,X1,X2)),sK185(X0,X1,X2))
& m2_nattra_1(sK185(X0,X1,X2),X1,X0,sK183(X0,X1,X2),sK184(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f4777,plain,
! [X0,X1,X10] :
( ? [X14] :
( ? [X15] :
( ? [X16] :
( r2_nattra_1(X1,X0,X14,X15)
& k4_tarski(k4_tarski(X14,X15),X16) = X10
& m2_nattra_1(X16,X1,X0,X14,X15) )
& m2_cat_1(X15,X1,X0) )
& m2_cat_1(X14,X1,X0) )
=> ( ? [X15] :
( ? [X16] :
( r2_nattra_1(X1,X0,sK186(X0,X1,X10),X15)
& k4_tarski(k4_tarski(sK186(X0,X1,X10),X15),X16) = X10
& m2_nattra_1(X16,X1,X0,sK186(X0,X1,X10),X15) )
& m2_cat_1(X15,X1,X0) )
& m2_cat_1(sK186(X0,X1,X10),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f4778,plain,
! [X0,X1,X10] :
( ? [X15] :
( ? [X16] :
( r2_nattra_1(X1,X0,sK186(X0,X1,X10),X15)
& k4_tarski(k4_tarski(sK186(X0,X1,X10),X15),X16) = X10
& m2_nattra_1(X16,X1,X0,sK186(X0,X1,X10),X15) )
& m2_cat_1(X15,X1,X0) )
=> ( ? [X16] :
( r2_nattra_1(X1,X0,sK186(X0,X1,X10),sK187(X0,X1,X10))
& k4_tarski(k4_tarski(sK186(X0,X1,X10),sK187(X0,X1,X10)),X16) = X10
& m2_nattra_1(X16,X1,X0,sK186(X0,X1,X10),sK187(X0,X1,X10)) )
& m2_cat_1(sK187(X0,X1,X10),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f4779,plain,
! [X0,X1,X10] :
( ? [X16] :
( r2_nattra_1(X1,X0,sK186(X0,X1,X10),sK187(X0,X1,X10))
& k4_tarski(k4_tarski(sK186(X0,X1,X10),sK187(X0,X1,X10)),X16) = X10
& m2_nattra_1(X16,X1,X0,sK186(X0,X1,X10),sK187(X0,X1,X10)) )
=> ( r2_nattra_1(X1,X0,sK186(X0,X1,X10),sK187(X0,X1,X10))
& k4_tarski(k4_tarski(sK186(X0,X1,X10),sK187(X0,X1,X10)),sK188(X0,X1,X10)) = X10
& m2_nattra_1(sK188(X0,X1,X10),X1,X0,sK186(X0,X1,X10),sK187(X0,X1,X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f4772,plain,
! [X0,X1,X2] :
( ( sP17(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2_nattra_1(X1,X0,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != X3
| ~ m2_nattra_1(X6,X1,X0,X4,X5) )
| ~ m2_cat_1(X5,X1,X0) )
| ~ m2_cat_1(X4,X1,X0) )
| ~ r2_hidden(X3,X2) )
& ( ? [X7] :
( ? [X8] :
( ? [X9] :
( r2_nattra_1(X1,X0,X7,X8)
& k4_tarski(k4_tarski(X7,X8),X9) = X3
& m2_nattra_1(X9,X1,X0,X7,X8) )
& m2_cat_1(X8,X1,X0) )
& m2_cat_1(X7,X1,X0) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X10] :
( ( r2_hidden(X10,X2)
| ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ r2_nattra_1(X1,X0,X11,X12)
| k4_tarski(k4_tarski(X11,X12),X13) != X10
| ~ m2_nattra_1(X13,X1,X0,X11,X12) )
| ~ m2_cat_1(X12,X1,X0) )
| ~ m2_cat_1(X11,X1,X0) ) )
& ( ? [X14] :
( ? [X15] :
( ? [X16] :
( r2_nattra_1(X1,X0,X14,X15)
& k4_tarski(k4_tarski(X14,X15),X16) = X10
& m2_nattra_1(X16,X1,X0,X14,X15) )
& m2_cat_1(X15,X1,X0) )
& m2_cat_1(X14,X1,X0) )
| ~ r2_hidden(X10,X2) ) )
| ~ sP17(X0,X1,X2) ) ),
inference(rectify,[],[f4771]) ).
fof(f4771,plain,
! [X1,X0,X2] :
( ( sP17(X1,X0,X2)
| ? [X3] :
( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2_nattra_1(X0,X1,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != X3
| ~ m2_nattra_1(X6,X0,X1,X4,X5) )
| ~ m2_cat_1(X5,X0,X1) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( ? [X5] :
( ? [X6] :
( r2_nattra_1(X0,X1,X4,X5)
& k4_tarski(k4_tarski(X4,X5),X6) = X3
& m2_nattra_1(X6,X0,X1,X4,X5) )
& m2_cat_1(X5,X0,X1) )
& m2_cat_1(X4,X0,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2_nattra_1(X0,X1,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != X3
| ~ m2_nattra_1(X6,X0,X1,X4,X5) )
| ~ m2_cat_1(X5,X0,X1) )
| ~ m2_cat_1(X4,X0,X1) ) )
& ( ? [X4] :
( ? [X5] :
( ? [X6] :
( r2_nattra_1(X0,X1,X4,X5)
& k4_tarski(k4_tarski(X4,X5),X6) = X3
& m2_nattra_1(X6,X0,X1,X4,X5) )
& m2_cat_1(X5,X0,X1) )
& m2_cat_1(X4,X0,X1) )
| ~ r2_hidden(X3,X2) ) )
| ~ sP17(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f4428]) ).
fof(f5735,plain,
~ r2_hidden(k4_tarski(k4_tarski(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20))),k3_yoneda_1(sK19,sK20)),u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))),
inference(subsumption_resolution,[],[f5723,f5064]) ).
fof(f5064,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f3966]) ).
fof(f3966,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',t7_boole) ).
fof(f5723,plain,
( ~ r2_hidden(k4_tarski(k4_tarski(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20))),k3_yoneda_1(sK19,sK20)),u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))))
| v1_xboole_0(u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))) ),
inference(resolution,[],[f4818,f5060]) ).
fof(f5060,plain,
! [X0,X1] :
( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f4585]) ).
fof(f4585,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f3964]) ).
fof(f3964,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f366]) ).
fof(f366,axiom,
! [X0,X1] :
( ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) )
& ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',d2_subset_1) ).
fof(f4818,plain,
~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK19,k3_cat_1(sK19,sK20)),k2_yoneda_1(sK19,k2_cat_1(sK19,sK20))),k3_yoneda_1(sK19,sK20)),u2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))),
inference(cnf_transformation,[],[f4433]) ).
fof(f6433,plain,
( ~ spl204_19
| ~ spl204_20
| spl204_23 ),
inference(avatar_contradiction_clause,[],[f6432]) ).
fof(f6432,plain,
( $false
| ~ spl204_19
| ~ spl204_20
| spl204_23 ),
inference(subsumption_resolution,[],[f6431,f4815]) ).
fof(f6431,plain,
( ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_23 ),
inference(subsumption_resolution,[],[f6430,f4816]) ).
fof(f6430,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_23 ),
inference(subsumption_resolution,[],[f6429,f6056]) ).
fof(f6429,plain,
( ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_20
| spl204_23 ),
inference(subsumption_resolution,[],[f6425,f6060]) ).
fof(f6425,plain,
( ~ l1_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_23 ),
inference(resolution,[],[f6073,f4947]) ).
fof(f4947,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f3901]) ).
fof(f3901,plain,
! [X0,X1] :
( ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f3900]) ).
fof(f3900,plain,
! [X0,X1] :
( ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3576]) ).
fof(f3576,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',dt_k12_nattra_1) ).
fof(f6073,plain,
( ~ l1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| spl204_23 ),
inference(avatar_component_clause,[],[f6071]) ).
fof(f6071,plain,
( spl204_23
<=> l1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_23])]) ).
fof(f6394,plain,
( ~ spl204_19
| ~ spl204_20
| spl204_22 ),
inference(avatar_contradiction_clause,[],[f6393]) ).
fof(f6393,plain,
( $false
| ~ spl204_19
| ~ spl204_20
| spl204_22 ),
inference(subsumption_resolution,[],[f6392,f4815]) ).
fof(f6392,plain,
( ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_22 ),
inference(subsumption_resolution,[],[f6391,f4816]) ).
fof(f6391,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_22 ),
inference(subsumption_resolution,[],[f6390,f6056]) ).
fof(f6390,plain,
( ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_20
| spl204_22 ),
inference(subsumption_resolution,[],[f6386,f6060]) ).
fof(f6386,plain,
( ~ l1_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_22 ),
inference(resolution,[],[f6069,f4946]) ).
fof(f4946,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f3901]) ).
fof(f6069,plain,
( ~ v2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| spl204_22 ),
inference(avatar_component_clause,[],[f6067]) ).
fof(f6067,plain,
( spl204_22
<=> v2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_22])]) ).
fof(f6348,plain,
( ~ spl204_19
| ~ spl204_20
| spl204_21 ),
inference(avatar_contradiction_clause,[],[f6347]) ).
fof(f6347,plain,
( $false
| ~ spl204_19
| ~ spl204_20
| spl204_21 ),
inference(subsumption_resolution,[],[f6346,f4815]) ).
fof(f6346,plain,
( ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_21 ),
inference(subsumption_resolution,[],[f6345,f4816]) ).
fof(f6345,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_19
| ~ spl204_20
| spl204_21 ),
inference(subsumption_resolution,[],[f6344,f6056]) ).
fof(f6344,plain,
( ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| ~ spl204_20
| spl204_21 ),
inference(subsumption_resolution,[],[f6340,f6060]) ).
fof(f6340,plain,
( ~ l1_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_21 ),
inference(resolution,[],[f6065,f4945]) ).
fof(f4945,plain,
! [X0,X1] :
( v1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f3901]) ).
fof(f6065,plain,
( ~ v1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| spl204_21 ),
inference(avatar_component_clause,[],[f6063]) ).
fof(f6063,plain,
( spl204_21
<=> v1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl204_21])]) ).
fof(f6175,plain,
spl204_20,
inference(avatar_contradiction_clause,[],[f6174]) ).
fof(f6174,plain,
( $false
| spl204_20 ),
inference(subsumption_resolution,[],[f6173,f4815]) ).
fof(f6173,plain,
( ~ v2_cat_1(sK19)
| spl204_20 ),
inference(subsumption_resolution,[],[f6170,f4816]) ).
fof(f6170,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_20 ),
inference(resolution,[],[f6061,f5005]) ).
fof(f5005,plain,
! [X0] :
( l1_cat_1(k1_yoneda_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f3929]) ).
fof(f3929,plain,
! [X0] :
( ( l1_cat_1(k1_yoneda_1(X0))
& v2_cat_1(k1_yoneda_1(X0)) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f3928]) ).
fof(f3928,plain,
! [X0] :
( ( l1_cat_1(k1_yoneda_1(X0))
& v2_cat_1(k1_yoneda_1(X0)) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3795]) ).
fof(f3795,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k1_yoneda_1(X0))
& v2_cat_1(k1_yoneda_1(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',dt_k1_yoneda_1) ).
fof(f6061,plain,
( ~ l1_cat_1(k1_yoneda_1(sK19))
| spl204_20 ),
inference(avatar_component_clause,[],[f6059]) ).
fof(f6112,plain,
spl204_19,
inference(avatar_contradiction_clause,[],[f6111]) ).
fof(f6111,plain,
( $false
| spl204_19 ),
inference(subsumption_resolution,[],[f6110,f4815]) ).
fof(f6110,plain,
( ~ v2_cat_1(sK19)
| spl204_19 ),
inference(subsumption_resolution,[],[f6107,f4816]) ).
fof(f6107,plain,
( ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_19 ),
inference(resolution,[],[f6057,f5004]) ).
fof(f5004,plain,
! [X0] :
( v2_cat_1(k1_yoneda_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f3929]) ).
fof(f6057,plain,
( ~ v2_cat_1(k1_yoneda_1(sK19))
| spl204_19 ),
inference(avatar_component_clause,[],[f6055]) ).
fof(f6074,plain,
( ~ spl204_19
| ~ spl204_20
| ~ spl204_21
| ~ spl204_22
| ~ spl204_23
| spl204_16 ),
inference(avatar_split_clause,[],[f6053,f6008,f6071,f6067,f6063,f6059,f6055]) ).
fof(f6053,plain,
( ~ l1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ v2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ v1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ l1_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| spl204_16 ),
inference(subsumption_resolution,[],[f6052,f4815]) ).
fof(f6052,plain,
( ~ l1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ v2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ v1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ l1_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(sK19)
| spl204_16 ),
inference(subsumption_resolution,[],[f6048,f4816]) ).
fof(f6048,plain,
( ~ l1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ v2_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ v1_cat_1(k12_nattra_1(sK19,k1_yoneda_1(sK19)))
| ~ l1_cat_1(k1_yoneda_1(sK19))
| ~ v2_cat_1(k1_yoneda_1(sK19))
| ~ l1_cat_1(sK19)
| ~ v2_cat_1(sK19)
| spl204_16 ),
inference(resolution,[],[f6010,f4994]) ).
fof(f4994,plain,
! [X2,X0,X1] :
( sP4(X2,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f4408]) ).
fof(f4408,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP4(X2,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v1_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(definition_folding,[],[f3913,f4407,f4406,f4405,f4404]) ).
fof(f4404,plain,
! [X2] :
( sP1(X2)
<=> ! [X12] :
( ! [X13] :
( r2_hidden(k13_cat_2(X2,X2,X13,X12),k1_relat_1(u5_cat_1(X2)))
| k3_cat_1(X2,X12) != k2_cat_1(X2,X13)
| ~ m1_subset_1(X13,u2_cat_1(X2)) )
| ~ m1_subset_1(X12,u2_cat_1(X2)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4405,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ! [X5] :
( ! [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X6,X5)) = k4_tarski(k4_tarski(X7,X9),k8_nattra_1(X0,X1,X7,X8,X9,X10,X11))
& k4_tarski(k4_tarski(X8,X9),X11) = X6
& k4_tarski(k4_tarski(X7,X8),X10) = X5
& m2_nattra_1(X11,X0,X1,X8,X9) )
& m2_nattra_1(X10,X0,X1,X7,X8) )
& m2_cat_1(X9,X0,X1) )
& m2_cat_1(X8,X0,X1) )
& m2_cat_1(X7,X0,X1) )
| ~ r2_hidden(k13_cat_2(X2,X2,X6,X5),k1_relat_1(u5_cat_1(X2)))
| ~ m1_subset_1(X6,u2_cat_1(X2)) )
| ~ m1_subset_1(X5,u2_cat_1(X2)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3913,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k12_nattra_1(X0,X1) = X2
<=> ( ! [X3] :
( ! [X4] :
( k10_cat_1(X2,X3) = k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4))
| X3 != X4
| ~ m2_cat_1(X4,X0,X1) )
| ~ m1_subset_1(X3,u1_cat_1(X2)) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X6,X5)) = k4_tarski(k4_tarski(X7,X9),k8_nattra_1(X0,X1,X7,X8,X9,X10,X11))
& k4_tarski(k4_tarski(X8,X9),X11) = X6
& k4_tarski(k4_tarski(X7,X8),X10) = X5
& m2_nattra_1(X11,X0,X1,X8,X9) )
& m2_nattra_1(X10,X0,X1,X7,X8) )
& m2_cat_1(X9,X0,X1) )
& m2_cat_1(X8,X0,X1) )
& m2_cat_1(X7,X0,X1) )
| ~ r2_hidden(k13_cat_2(X2,X2,X6,X5),k1_relat_1(u5_cat_1(X2)))
| ~ m1_subset_1(X6,u2_cat_1(X2)) )
| ~ m1_subset_1(X5,u2_cat_1(X2)) )
& ! [X12] :
( ! [X13] :
( r2_hidden(k13_cat_2(X2,X2,X13,X12),k1_relat_1(u5_cat_1(X2)))
| k3_cat_1(X2,X12) != k2_cat_1(X2,X13)
| ~ m1_subset_1(X13,u2_cat_1(X2)) )
| ~ m1_subset_1(X12,u2_cat_1(X2)) )
& ! [X14] :
( ( k2_mcart_1(k1_mcart_1(X14)) = k3_cat_1(X2,X14)
& k1_mcart_1(k1_mcart_1(X14)) = k2_cat_1(X2,X14) )
| ~ m1_subset_1(X14,u2_cat_1(X2)) )
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& u1_cat_1(X2) = k7_cat_2(X0,X1) ) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v1_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f3912]) ).
fof(f3912,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k12_nattra_1(X0,X1) = X2
<=> ( ! [X3] :
( ! [X4] :
( k10_cat_1(X2,X3) = k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4))
| X3 != X4
| ~ m2_cat_1(X4,X0,X1) )
| ~ m1_subset_1(X3,u1_cat_1(X2)) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X6,X5)) = k4_tarski(k4_tarski(X7,X9),k8_nattra_1(X0,X1,X7,X8,X9,X10,X11))
& k4_tarski(k4_tarski(X8,X9),X11) = X6
& k4_tarski(k4_tarski(X7,X8),X10) = X5
& m2_nattra_1(X11,X0,X1,X8,X9) )
& m2_nattra_1(X10,X0,X1,X7,X8) )
& m2_cat_1(X9,X0,X1) )
& m2_cat_1(X8,X0,X1) )
& m2_cat_1(X7,X0,X1) )
| ~ r2_hidden(k13_cat_2(X2,X2,X6,X5),k1_relat_1(u5_cat_1(X2)))
| ~ m1_subset_1(X6,u2_cat_1(X2)) )
| ~ m1_subset_1(X5,u2_cat_1(X2)) )
& ! [X12] :
( ! [X13] :
( r2_hidden(k13_cat_2(X2,X2,X13,X12),k1_relat_1(u5_cat_1(X2)))
| k3_cat_1(X2,X12) != k2_cat_1(X2,X13)
| ~ m1_subset_1(X13,u2_cat_1(X2)) )
| ~ m1_subset_1(X12,u2_cat_1(X2)) )
& ! [X14] :
( ( k2_mcart_1(k1_mcart_1(X14)) = k3_cat_1(X2,X14)
& k1_mcart_1(k1_mcart_1(X14)) = k2_cat_1(X2,X14) )
| ~ m1_subset_1(X14,u2_cat_1(X2)) )
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& u1_cat_1(X2) = k7_cat_2(X0,X1) ) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v1_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f3812]) ).
fof(f3812,plain,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2)
& v1_cat_1(X2) )
=> ( k12_nattra_1(X0,X1) = X2
<=> ( ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ( X3 = X4
=> k10_cat_1(X2,X3) = k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4)) ) ) )
& ! [X5] :
( m1_subset_1(X5,u2_cat_1(X2))
=> ! [X6] :
( m1_subset_1(X6,u2_cat_1(X2))
=> ~ ( ! [X7] :
( m2_cat_1(X7,X0,X1)
=> ! [X8] :
( m2_cat_1(X8,X0,X1)
=> ! [X9] :
( m2_cat_1(X9,X0,X1)
=> ! [X10] :
( m2_nattra_1(X10,X0,X1,X7,X8)
=> ! [X11] :
( m2_nattra_1(X11,X0,X1,X8,X9)
=> ~ ( k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X6,X5)) = k4_tarski(k4_tarski(X7,X9),k8_nattra_1(X0,X1,X7,X8,X9,X10,X11))
& k4_tarski(k4_tarski(X8,X9),X11) = X6
& k4_tarski(k4_tarski(X7,X8),X10) = X5 ) ) ) ) ) )
& r2_hidden(k13_cat_2(X2,X2,X6,X5),k1_relat_1(u5_cat_1(X2))) ) ) )
& ! [X12] :
( m1_subset_1(X12,u2_cat_1(X2))
=> ! [X13] :
( m1_subset_1(X13,u2_cat_1(X2))
=> ( k3_cat_1(X2,X12) = k2_cat_1(X2,X13)
=> r2_hidden(k13_cat_2(X2,X2,X13,X12),k1_relat_1(u5_cat_1(X2))) ) ) )
& ! [X14] :
( m1_subset_1(X14,u2_cat_1(X2))
=> ( k2_mcart_1(k1_mcart_1(X14)) = k3_cat_1(X2,X14)
& k1_mcart_1(k1_mcart_1(X14)) = k2_cat_1(X2,X14) ) )
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& u1_cat_1(X2) = k7_cat_2(X0,X1) ) ) ) ) ),
inference(rectify,[],[f3525]) ).
fof(f3525,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2)
& v1_cat_1(X2) )
=> ( k12_nattra_1(X0,X1) = X2
<=> ( ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ( X3 = X4
=> k10_cat_1(X2,X3) = k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4)) ) ) )
& ! [X3] :
( m1_subset_1(X3,u2_cat_1(X2))
=> ! [X4] :
( m1_subset_1(X4,u2_cat_1(X2))
=> ~ ( ! [X5] :
( m2_cat_1(X5,X0,X1)
=> ! [X6] :
( m2_cat_1(X6,X0,X1)
=> ! [X7] :
( m2_cat_1(X7,X0,X1)
=> ! [X8] :
( m2_nattra_1(X8,X0,X1,X5,X6)
=> ! [X9] :
( m2_nattra_1(X9,X0,X1,X6,X7)
=> ~ ( k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X4,X3)) = k4_tarski(k4_tarski(X5,X7),k8_nattra_1(X0,X1,X5,X6,X7,X8,X9))
& k4_tarski(k4_tarski(X6,X7),X9) = X4
& k4_tarski(k4_tarski(X5,X6),X8) = X3 ) ) ) ) ) )
& r2_hidden(k13_cat_2(X2,X2,X4,X3),k1_relat_1(u5_cat_1(X2))) ) ) )
& ! [X3] :
( m1_subset_1(X3,u2_cat_1(X2))
=> ! [X4] :
( m1_subset_1(X4,u2_cat_1(X2))
=> ( k3_cat_1(X2,X3) = k2_cat_1(X2,X4)
=> r2_hidden(k13_cat_2(X2,X2,X4,X3),k1_relat_1(u5_cat_1(X2))) ) ) )
& ! [X3] :
( m1_subset_1(X3,u2_cat_1(X2))
=> ( k2_mcart_1(k1_mcart_1(X3)) = k3_cat_1(X2,X3)
& k1_mcart_1(k1_mcart_1(X3)) = k2_cat_1(X2,X3) ) )
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& u1_cat_1(X2) = k7_cat_2(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',d18_nattra_1) ).
fof(f6010,plain,
( ~ sP4(k12_nattra_1(sK19,k1_yoneda_1(sK19)),sK19,k1_yoneda_1(sK19))
| spl204_16 ),
inference(avatar_component_clause,[],[f6008]) ).
fof(f5833,plain,
spl204_5,
inference(avatar_contradiction_clause,[],[f5832]) ).
fof(f5832,plain,
( $false
| spl204_5 ),
inference(subsumption_resolution,[],[f5831,f4816]) ).
fof(f5831,plain,
( ~ l1_cat_1(sK19)
| spl204_5 ),
inference(subsumption_resolution,[],[f5825,f4817]) ).
fof(f5825,plain,
( ~ m1_subset_1(sK20,u2_cat_1(sK19))
| ~ l1_cat_1(sK19)
| spl204_5 ),
inference(resolution,[],[f5752,f4938]) ).
fof(f4938,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f3893]) ).
fof(f3893,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f3892]) ).
fof(f3892,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f3230]) ).
fof(f3230,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u2_cat_1(X0))
& l1_cat_1(X0) )
=> m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',dt_k2_cat_1) ).
fof(f5752,plain,
( ~ m1_subset_1(k2_cat_1(sK19,sK20),u1_cat_1(sK19))
| spl204_5 ),
inference(avatar_component_clause,[],[f5750]) ).
fof(f5770,plain,
spl204_3,
inference(avatar_contradiction_clause,[],[f5769]) ).
fof(f5769,plain,
( $false
| spl204_3 ),
inference(subsumption_resolution,[],[f5768,f4816]) ).
fof(f5768,plain,
( ~ l1_cat_1(sK19)
| spl204_3 ),
inference(subsumption_resolution,[],[f5762,f4817]) ).
fof(f5762,plain,
( ~ m1_subset_1(sK20,u2_cat_1(sK19))
| ~ l1_cat_1(sK19)
| spl204_3 ),
inference(resolution,[],[f5741,f4943]) ).
fof(f4943,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f3897]) ).
fof(f3897,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f3896]) ).
fof(f3896,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f3231]) ).
fof(f3231,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u2_cat_1(X0))
& l1_cat_1(X0) )
=> m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.OKf6pS8Grf/Vampire---4.8_2725',dt_k3_cat_1) ).
fof(f5741,plain,
( ~ m1_subset_1(k3_cat_1(sK19,sK20),u1_cat_1(sK19))
| spl204_3 ),
inference(avatar_component_clause,[],[f5739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT034+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 18:12:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34 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.OKf6pS8Grf/Vampire---4.8_2725
% 0.69/0.90 % (2837)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.69/0.90 % (2835)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 (2994ds/34Mi)
% 0.69/0.90 % (2836)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 (2994ds/51Mi)
% 0.69/0.90 % (2838)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.69/0.90 % (2839)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 (2994ds/34Mi)
% 0.69/0.90 % (2840)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.69/0.90 % (2841)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 (2994ds/83Mi)
% 0.69/0.90 % (2842)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 (2994ds/56Mi)
% 0.69/0.91 % (2835)Instruction limit reached!
% 0.69/0.91 % (2835)------------------------------
% 0.69/0.91 % (2835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.91 % (2835)Termination reason: Unknown
% 0.69/0.91 % (2835)Termination phase: Preprocessing 3
% 0.69/0.91
% 0.69/0.91 % (2835)Memory used [KB]: 5572
% 0.69/0.91 % (2835)Time elapsed: 0.020 s
% 0.69/0.91 % (2835)Instructions burned: 35 (million)
% 0.69/0.91 % (2835)------------------------------
% 0.69/0.91 % (2835)------------------------------
% 0.69/0.91 % (2838)Instruction limit reached!
% 0.69/0.91 % (2838)------------------------------
% 0.69/0.91 % (2838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.91 % (2838)Termination reason: Unknown
% 0.69/0.91 % (2838)Termination phase: Saturation
% 0.69/0.91
% 0.69/0.91 % (2838)Memory used [KB]: 5749
% 0.69/0.91 % (2838)Time elapsed: 0.020 s
% 0.69/0.91 % (2838)Instructions burned: 33 (million)
% 0.69/0.91 % (2839)Instruction limit reached!
% 0.69/0.91 % (2839)------------------------------
% 0.69/0.91 % (2839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.91 % (2838)------------------------------
% 0.69/0.91 % (2838)------------------------------
% 0.69/0.91 % (2839)Termination reason: Unknown
% 0.69/0.91 % (2839)Termination phase: Preprocessing 1
% 0.69/0.91
% 0.69/0.91 % (2839)Memory used [KB]: 5275
% 0.69/0.91 % (2839)Time elapsed: 0.020 s
% 0.69/0.91 % (2839)Instructions burned: 35 (million)
% 0.69/0.91 % (2839)------------------------------
% 0.69/0.91 % (2839)------------------------------
% 0.69/0.92 % (2844)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 (2994ds/50Mi)
% 0.69/0.92 % (2843)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 (2994ds/55Mi)
% 0.69/0.92 % (2845)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 (2994ds/208Mi)
% 0.69/0.92 % (2840)Instruction limit reached!
% 0.69/0.92 % (2840)------------------------------
% 0.69/0.92 % (2840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.92 % (2840)Termination reason: Unknown
% 0.69/0.92 % (2840)Termination phase: Preprocessing 3
% 0.69/0.92
% 0.69/0.92 % (2840)Memory used [KB]: 6218
% 0.69/0.92 % (2840)Time elapsed: 0.026 s
% 0.69/0.92 % (2840)Instructions burned: 45 (million)
% 0.69/0.92 % (2840)------------------------------
% 0.69/0.92 % (2840)------------------------------
% 0.69/0.92 % (2842)Instruction limit reached!
% 0.69/0.92 % (2842)------------------------------
% 0.69/0.92 % (2842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.92 % (2842)Termination reason: Unknown
% 0.69/0.92 % (2842)Termination phase: Property scanning
% 0.69/0.92
% 0.69/0.92 % (2842)Memory used [KB]: 6092
% 0.69/0.92 % (2842)Time elapsed: 0.027 s
% 0.69/0.92 % (2842)Instructions burned: 59 (million)
% 0.69/0.92 % (2842)------------------------------
% 0.69/0.92 % (2842)------------------------------
% 0.69/0.92 % (2836)Instruction limit reached!
% 0.69/0.92 % (2836)------------------------------
% 0.69/0.92 % (2836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.92 % (2836)Termination reason: Unknown
% 0.69/0.92 % (2836)Termination phase: Preprocessing 1
% 0.69/0.92
% 0.69/0.92 % (2836)Memory used [KB]: 5436
% 0.69/0.92 % (2836)Time elapsed: 0.029 s
% 0.69/0.92 % (2836)Instructions burned: 52 (million)
% 0.69/0.92 % (2836)------------------------------
% 0.69/0.92 % (2836)------------------------------
% 0.69/0.92 % (2846)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 (2994ds/52Mi)
% 0.69/0.93 % (2847)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 (2994ds/518Mi)
% 0.69/0.93 % (2848)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 (2994ds/42Mi)
% 0.87/0.94 % (2837)Instruction limit reached!
% 0.87/0.94 % (2837)------------------------------
% 0.87/0.94 % (2837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.94 % (2837)Termination reason: Unknown
% 0.87/0.94 % (2837)Termination phase: Property scanning
% 0.87/0.94
% 0.87/0.94 % (2837)Memory used [KB]: 7539
% 0.87/0.94 % (2837)Time elapsed: 0.043 s
% 0.87/0.94 % (2837)Instructions burned: 78 (million)
% 0.87/0.94 % (2837)------------------------------
% 0.87/0.94 % (2837)------------------------------
% 0.87/0.94 % (2849)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 (2994ds/243Mi)
% 0.87/0.94 % (2841)Instruction limit reached!
% 0.87/0.94 % (2841)------------------------------
% 0.87/0.94 % (2841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.94 % (2841)Termination reason: Unknown
% 0.87/0.94 % (2841)Termination phase: Preprocessing 2
% 0.87/0.94
% 0.87/0.94 % (2841)Memory used [KB]: 6698
% 0.87/0.94 % (2841)Time elapsed: 0.050 s
% 0.87/0.94 % (2841)Instructions burned: 83 (million)
% 0.87/0.94 % (2841)------------------------------
% 0.87/0.94 % (2841)------------------------------
% 0.87/0.94 % (2844)Instruction limit reached!
% 0.87/0.94 % (2844)------------------------------
% 0.87/0.94 % (2844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.94 % (2844)Termination reason: Unknown
% 0.87/0.94 % (2844)Termination phase: Preprocessing 1
% 0.87/0.94
% 0.87/0.94 % (2844)Memory used [KB]: 5437
% 0.87/0.94 % (2844)Time elapsed: 0.029 s
% 0.87/0.94 % (2844)Instructions burned: 51 (million)
% 0.87/0.94 % (2844)------------------------------
% 0.87/0.94 % (2844)------------------------------
% 0.87/0.95 % (2843)Instruction limit reached!
% 0.87/0.95 % (2843)------------------------------
% 0.87/0.95 % (2843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.95 % (2843)Termination reason: Unknown
% 0.87/0.95 % (2843)Termination phase: Saturation
% 0.87/0.95
% 0.87/0.95 % (2843)Memory used [KB]: 6023
% 0.87/0.95 % (2843)Time elapsed: 0.031 s
% 0.87/0.95 % (2843)Instructions burned: 55 (million)
% 0.87/0.95 % (2843)------------------------------
% 0.87/0.95 % (2843)------------------------------
% 0.87/0.95 % (2853)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 (2993ds/117Mi)
% 0.87/0.95 % (2854)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 (2993ds/143Mi)
% 0.87/0.95 % (2848)Instruction limit reached!
% 0.87/0.95 % (2848)------------------------------
% 0.87/0.95 % (2848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.95 % (2848)Termination reason: Unknown
% 0.87/0.95 % (2848)Termination phase: Preprocessing 2
% 0.87/0.95
% 0.87/0.95 % (2848)Memory used [KB]: 6687
% 0.87/0.95 % (2848)Time elapsed: 0.026 s
% 0.87/0.95 % (2848)Instructions burned: 43 (million)
% 0.87/0.95 % (2848)------------------------------
% 0.87/0.95 % (2848)------------------------------
% 0.87/0.95 % (2856)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 (2993ds/93Mi)
% 0.87/0.95 % (2846)Instruction limit reached!
% 0.87/0.95 % (2846)------------------------------
% 0.87/0.95 % (2846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.95 % (2846)Termination reason: Unknown
% 0.87/0.95 % (2846)Termination phase: Unused predicate definition removal
% 0.87/0.95
% 0.87/0.95 % (2846)Memory used [KB]: 5672
% 0.87/0.95 % (2846)Time elapsed: 0.030 s
% 0.87/0.95 % (2846)Instructions burned: 52 (million)
% 0.87/0.95 % (2846)------------------------------
% 0.87/0.95 % (2846)------------------------------
% 0.87/0.95 % (2857)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 (2993ds/62Mi)
% 0.87/0.96 % (2858)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 (2993ds/32Mi)
% 1.10/0.97 % (2858)Instruction limit reached!
% 1.10/0.97 % (2858)------------------------------
% 1.10/0.97 % (2858)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/0.97 % (2858)Termination reason: Unknown
% 1.10/0.97 % (2858)Termination phase: SInE selection
% 1.10/0.97
% 1.10/0.97 % (2858)Memory used [KB]: 5671
% 1.10/0.97 % (2858)Time elapsed: 0.020 s
% 1.10/0.97 % (2858)Instructions burned: 33 (million)
% 1.10/0.97 % (2858)------------------------------
% 1.10/0.97 % (2858)------------------------------
% 1.10/0.98 % (2877)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 (2993ds/1919Mi)
% 1.10/0.99 % (2857)Instruction limit reached!
% 1.10/0.99 % (2857)------------------------------
% 1.10/0.99 % (2857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/0.99 % (2857)Termination reason: Unknown
% 1.10/0.99 % (2857)Termination phase: NewCNF
% 1.10/0.99
% 1.10/0.99 % (2857)Memory used [KB]: 8820
% 1.10/0.99 % (2857)Time elapsed: 0.038 s
% 1.10/0.99 % (2857)Instructions burned: 62 (million)
% 1.10/0.99 % (2857)------------------------------
% 1.10/0.99 % (2857)------------------------------
% 1.10/1.00 % (2886)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2993ds/55Mi)
% 1.10/1.00 % (2856)Instruction limit reached!
% 1.10/1.00 % (2856)------------------------------
% 1.10/1.00 % (2856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/1.00 % (2856)Termination reason: Unknown
% 1.10/1.00 % (2856)Termination phase: NewCNF
% 1.10/1.00
% 1.10/1.00 % (2856)Memory used [KB]: 9960
% 1.10/1.00 % (2856)Time elapsed: 0.054 s
% 1.10/1.00 % (2856)Instructions burned: 93 (million)
% 1.10/1.00 % (2856)------------------------------
% 1.10/1.00 % (2856)------------------------------
% 1.10/1.00 % (2853)Instruction limit reached!
% 1.10/1.00 % (2853)------------------------------
% 1.10/1.00 % (2853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/1.00 % (2853)Termination reason: Unknown
% 1.10/1.00 % (2853)Termination phase: Saturation
% 1.10/1.00
% 1.10/1.00 % (2853)Memory used [KB]: 6720
% 1.10/1.00 % (2853)Time elapsed: 0.058 s
% 1.10/1.00 % (2853)Instructions burned: 119 (million)
% 1.10/1.00 % (2853)------------------------------
% 1.10/1.00 % (2853)------------------------------
% 1.10/1.01 % (2887)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2993ds/53Mi)
% 1.10/1.01 % (2888)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2993ds/46Mi)
% 1.10/1.02 % (2854)Instruction limit reached!
% 1.10/1.02 % (2854)------------------------------
% 1.10/1.02 % (2854)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/1.02 % (2854)Termination reason: Unknown
% 1.10/1.02 % (2854)Termination phase: NewCNF
% 1.10/1.02
% 1.10/1.02 % (2854)Memory used [KB]: 11861
% 1.10/1.02 % (2854)Time elapsed: 0.077 s
% 1.10/1.02 % (2854)Instructions burned: 144 (million)
% 1.10/1.02 % (2854)------------------------------
% 1.10/1.02 % (2854)------------------------------
% 1.10/1.03 % (2845)Instruction limit reached!
% 1.10/1.03 % (2845)------------------------------
% 1.10/1.03 % (2845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/1.03 % (2845)Termination reason: Unknown
% 1.10/1.03 % (2845)Termination phase: Saturation
% 1.10/1.03
% 1.10/1.03 % (2845)Memory used [KB]: 7311
% 1.10/1.03 % (2845)Time elapsed: 0.132 s
% 1.10/1.03 % (2845)Instructions burned: 208 (million)
% 1.10/1.03 % (2845)------------------------------
% 1.10/1.03 % (2845)------------------------------
% 1.35/1.03 % (2889)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2993ds/102Mi)
% 1.35/1.03 % (2886)Instruction limit reached!
% 1.35/1.03 % (2886)------------------------------
% 1.35/1.03 % (2886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/1.03 % (2886)Termination reason: Unknown
% 1.35/1.03 % (2886)Termination phase: Preprocessing 1
% 1.35/1.03
% 1.35/1.03 % (2886)Memory used [KB]: 5337
% 1.35/1.03 % (2886)Time elapsed: 0.035 s
% 1.35/1.03 % (2886)Instructions burned: 56 (million)
% 1.35/1.03 % (2886)------------------------------
% 1.35/1.03 % (2886)------------------------------
% 1.35/1.03 % (2890)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2993ds/35Mi)
% 1.35/1.03 % (2891)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2993ds/87Mi)
% 1.35/1.03 % (2888)Instruction limit reached!
% 1.35/1.03 % (2888)------------------------------
% 1.35/1.03 % (2888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/1.03 % (2888)Termination reason: Unknown
% 1.35/1.03 % (2888)Termination phase: Preprocessing 2
% 1.35/1.03
% 1.35/1.03 % (2888)Memory used [KB]: 7008
% 1.35/1.03 % (2888)Time elapsed: 0.027 s
% 1.35/1.03 % (2888)Instructions burned: 46 (million)
% 1.35/1.03 % (2888)------------------------------
% 1.35/1.03 % (2888)------------------------------
% 1.35/1.04 % (2892)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2993ds/109Mi)
% 1.35/1.04 % (2887)Instruction limit reached!
% 1.35/1.04 % (2887)------------------------------
% 1.35/1.04 % (2887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/1.04 % (2887)Termination reason: Unknown
% 1.35/1.04 % (2887)Termination phase: Saturation
% 1.35/1.04
% 1.35/1.04 % (2887)Memory used [KB]: 6158
% 1.35/1.04 % (2887)Time elapsed: 0.033 s
% 1.35/1.04 % (2887)Instructions burned: 53 (million)
% 1.35/1.04 % (2887)------------------------------
% 1.35/1.04 % (2887)------------------------------
% 1.35/1.04 % (2893)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2993ds/161Mi)
% 1.35/1.05 % (2890)Instruction limit reached!
% 1.35/1.05 % (2890)------------------------------
% 1.35/1.05 % (2890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/1.05 % (2890)Termination reason: Unknown
% 1.35/1.05 % (2890)Termination phase: SInE selection
% 1.35/1.05
% 1.35/1.05 % (2890)Memory used [KB]: 5455
% 1.35/1.05 % (2890)Time elapsed: 0.021 s
% 1.35/1.05 % (2890)Instructions burned: 35 (million)
% 1.35/1.05 % (2890)------------------------------
% 1.35/1.05 % (2890)------------------------------
% 1.35/1.05 % (2894)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2992ds/69Mi)
% 1.35/1.06 % (2849)Instruction limit reached!
% 1.35/1.06 % (2849)------------------------------
% 1.35/1.06 % (2849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/1.06 % (2849)Termination reason: Unknown
% 1.35/1.06 % (2849)Termination phase: Saturation
% 1.35/1.06
% 1.35/1.06 % (2849)Memory used [KB]: 8439
% 1.35/1.06 % (2849)Time elapsed: 0.124 s
% 1.35/1.06 % (2849)Instructions burned: 243 (million)
% 1.35/1.06 % (2849)------------------------------
% 1.35/1.06 % (2849)------------------------------
% 1.35/1.07 % (2895)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2992ds/40Mi)
% 1.35/1.08 % (2847)First to succeed.
% 1.35/1.08 % (2847)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2833"
% 1.35/1.08 % (2847)Refutation found. Thanks to Tanya!
% 1.35/1.08 % SZS status Theorem for Vampire---4
% 1.35/1.08 % SZS output start Proof for Vampire---4
% See solution above
% 2.10/1.09 % (2847)------------------------------
% 2.10/1.09 % (2847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.10/1.09 % (2847)Termination reason: Refutation
% 2.10/1.09
% 2.10/1.09 % (2847)Memory used [KB]: 9214
% 2.10/1.09 % (2847)Time elapsed: 0.179 s
% 2.10/1.09 % (2847)Instructions burned: 350 (million)
% 2.10/1.09 % (2833)Success in time 0.735 s
% 2.10/1.09 % Vampire---4.8 exiting
%------------------------------------------------------------------------------