TSTP Solution File: CAT026+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT026+3 : 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 : n025.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 04:43:23 EDT 2024
% Result : Theorem 1.84s 1.18s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 21
% Syntax : Number of formulae : 155 ( 14 unt; 0 def)
% Number of atoms : 855 ( 8 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 1251 ( 551 ~; 541 |; 114 &)
% ( 8 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 147 ( 112 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12851,plain,
$false,
inference(avatar_sat_refutation,[],[f11947,f11972,f12020,f12219,f12238,f12314,f12746,f12765,f12841]) ).
fof(f12841,plain,
( ~ spl11_3
| ~ spl11_4
| ~ spl11_17
| spl11_18 ),
inference(avatar_contradiction_clause,[],[f12836]) ).
fof(f12836,plain,
( $false
| ~ spl11_3
| ~ spl11_4
| ~ spl11_17
| spl11_18 ),
inference(unit_resulting_resolution,[],[f11888,f11889,f11953,f11957,f12740,f12740,f12745,f11901]) ).
fof(f11901,plain,
! [X2,X3,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f11809]) ).
fof(f11809,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f11808]) ).
fof(f11808,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f10529]) ).
fof(f10529,axiom,
! [X0,X1,X2,X3] :
( ( m2_cat_1(X3,X0,X1)
& m2_cat_1(X2,X0,X1)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> r2_nattra_1(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.fDQFEZ7H4F/Vampire---4.8_17189',reflexivity_r2_nattra_1) ).
fof(f12745,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| spl11_18 ),
inference(avatar_component_clause,[],[f12743]) ).
fof(f12743,plain,
( spl11_18
<=> r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f12740,plain,
( m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f12739]) ).
fof(f12739,plain,
( spl11_17
<=> m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f11957,plain,
( l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f11956]) ).
fof(f11956,plain,
( spl11_4
<=> l1_cat_1(k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f11953,plain,
( v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f11952]) ).
fof(f11952,plain,
( spl11_3
<=> v2_cat_1(k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f11889,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f11868]) ).
fof(f11868,plain,
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& l1_cat_1(sK1)
& v2_cat_1(sK1)
& l1_cat_1(sK0)
& v2_cat_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f11803,f11867,f11866,f11865,f11864,f11863]) ).
fof(f11863,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,X1,X2,X3),k12_isocat_2(sK0,X1,X2,X4))
| ~ r2_nattra_1(sK0,X1,k11_isocat_2(sK0,X1,X2,X3),k11_isocat_2(sK0,X1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(sK0)
& v2_cat_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f11864,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,X1,X2,X3),k12_isocat_2(sK0,X1,X2,X4))
| ~ r2_nattra_1(sK0,X1,k11_isocat_2(sK0,X1,X2,X3),k11_isocat_2(sK0,X1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,sK1,X2,X3),k12_isocat_2(sK0,sK1,X2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,X2,X3),k11_isocat_2(sK0,sK1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(sK1)
& v2_cat_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f11865,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,sK1,X2,X3),k12_isocat_2(sK0,sK1,X2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,X2,X3),k11_isocat_2(sK0,sK1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,X3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,X3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,sK2)) )
& l1_cat_1(sK2)
& v2_cat_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f11866,plain,
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,X3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,X3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,sK2)) )
=> ( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f11867,plain,
( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
=> ( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f11803,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(flattening,[],[f11802]) ).
fof(f11802,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(ennf_transformation,[],[f11798]) ).
fof(f11798,negated_conjecture,
~ ! [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) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f11797]) ).
fof(f11797,conjecture,
! [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) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fDQFEZ7H4F/Vampire---4.8_17189',t38_isocat_2) ).
fof(f11888,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f11868]) ).
fof(f12765,plain,
spl11_17,
inference(avatar_contradiction_clause,[],[f12764]) ).
fof(f12764,plain,
( $false
| spl11_17 ),
inference(subsumption_resolution,[],[f12763,f11886]) ).
fof(f11886,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f11868]) ).
fof(f12763,plain,
( ~ v2_cat_1(sK1)
| spl11_17 ),
inference(subsumption_resolution,[],[f12762,f11887]) ).
fof(f11887,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f11868]) ).
fof(f12762,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_17 ),
inference(subsumption_resolution,[],[f12761,f11888]) ).
fof(f12761,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_17 ),
inference(subsumption_resolution,[],[f12758,f11889]) ).
fof(f12758,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_17 ),
inference(resolution,[],[f12741,f11934]) ).
fof(f11934,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f11862]) ).
fof(f11862,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f11861]) ).
fof(f11861,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f11737]) ).
fof(f11737,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.fDQFEZ7H4F/Vampire---4.8_17189',dt_k9_isocat_2) ).
fof(f12741,plain,
( ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| spl11_17 ),
inference(avatar_component_clause,[],[f12739]) ).
fof(f12746,plain,
( ~ spl11_17
| ~ spl11_18
| spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f12737,f11956,f11952,f11944,f12743,f12739]) ).
fof(f11944,plain,
( spl11_2
<=> r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f12737,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f12736,f11884]) ).
fof(f11884,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f11868]) ).
fof(f12736,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ v2_cat_1(sK0)
| spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f12735,f11885]) ).
fof(f11885,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f11868]) ).
fof(f12735,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f12734,f11953]) ).
fof(f12734,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f12733,f11957]) ).
fof(f12733,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12732,f11888]) ).
fof(f12732,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12731,f11889]) ).
fof(f12731,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12730,f11890]) ).
fof(f11890,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f11868]) ).
fof(f12730,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12729,f11891]) ).
fof(f11891,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f11868]) ).
fof(f12729,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12728,f11892]) ).
fof(f11892,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f11868]) ).
fof(f12728,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(duplicate_literal_removal,[],[f12725]) ).
fof(f12725,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(resolution,[],[f12570,f11927]) ).
fof(f11927,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f11848]) ).
fof(f11848,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f11847]) ).
fof(f11847,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f11384]) ).
fof(f11384,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) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ( ( r2_nattra_1(X1,X2,X5,X6)
& r2_nattra_1(X0,X1,X3,X4) )
=> r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fDQFEZ7H4F/Vampire---4.8_17189',t27_isocat_1) ).
fof(f12570,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| spl11_2 ),
inference(subsumption_resolution,[],[f12569,f11884]) ).
fof(f12569,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12568,f11885]) ).
fof(f12568,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12567,f11886]) ).
fof(f12567,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12566,f11887]) ).
fof(f12566,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12565,f11888]) ).
fof(f12565,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12564,f11889]) ).
fof(f12564,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12553,f11891]) ).
fof(f12553,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(superposition,[],[f12439,f11911]) ).
fof(f11911,plain,
! [X2,X3,X0,X1] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f11825]) ).
fof(f11825,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f11824]) ).
fof(f11824,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f11792]) ).
fof(f11792,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) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fDQFEZ7H4F/Vampire---4.8_17189',d8_isocat_2) ).
fof(f12439,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| spl11_2 ),
inference(subsumption_resolution,[],[f12438,f11884]) ).
fof(f12438,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12437,f11885]) ).
fof(f12437,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12436,f11886]) ).
fof(f12436,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12435,f11887]) ).
fof(f12435,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12434,f11888]) ).
fof(f12434,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12433,f11889]) ).
fof(f12433,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f12415,f11890]) ).
fof(f12415,plain,
( ~ r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_2 ),
inference(superposition,[],[f11946,f11911]) ).
fof(f11946,plain,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| spl11_2 ),
inference(avatar_component_clause,[],[f11944]) ).
fof(f12314,plain,
( ~ spl11_3
| ~ spl11_4
| ~ spl11_10
| spl11_11 ),
inference(avatar_contradiction_clause,[],[f12309]) ).
fof(f12309,plain,
( $false
| ~ spl11_3
| ~ spl11_4
| ~ spl11_10
| spl11_11 ),
inference(unit_resulting_resolution,[],[f11886,f11887,f11953,f11957,f12213,f12213,f12218,f11901]) ).
fof(f12218,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| spl11_11 ),
inference(avatar_component_clause,[],[f12216]) ).
fof(f12216,plain,
( spl11_11
<=> r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f12213,plain,
( m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f12212]) ).
fof(f12212,plain,
( spl11_10
<=> m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f12238,plain,
spl11_10,
inference(avatar_contradiction_clause,[],[f12237]) ).
fof(f12237,plain,
( $false
| spl11_10 ),
inference(subsumption_resolution,[],[f12236,f11886]) ).
fof(f12236,plain,
( ~ v2_cat_1(sK1)
| spl11_10 ),
inference(subsumption_resolution,[],[f12235,f11887]) ).
fof(f12235,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_10 ),
inference(subsumption_resolution,[],[f12234,f11888]) ).
fof(f12234,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_10 ),
inference(subsumption_resolution,[],[f12231,f11889]) ).
fof(f12231,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_10 ),
inference(resolution,[],[f12214,f11930]) ).
fof(f11930,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f11854]) ).
fof(f11854,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f11853]) ).
fof(f11853,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f11735]) ).
fof(f11735,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.fDQFEZ7H4F/Vampire---4.8_17189',dt_k8_isocat_2) ).
fof(f12214,plain,
( ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| spl11_10 ),
inference(avatar_component_clause,[],[f12212]) ).
fof(f12219,plain,
( ~ spl11_10
| ~ spl11_11
| spl11_1
| ~ spl11_3
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f12210,f11956,f11952,f11940,f12216,f12212]) ).
fof(f11940,plain,
( spl11_1
<=> r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f12210,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| spl11_1
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f12209,f11884]) ).
fof(f12209,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ v2_cat_1(sK0)
| spl11_1
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f12208,f11885]) ).
fof(f12208,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f12207,f11953]) ).
fof(f12207,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f12206,f11957]) ).
fof(f12206,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12205,f11886]) ).
fof(f12205,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12204,f11887]) ).
fof(f12204,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12203,f11890]) ).
fof(f12203,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12202,f11891]) ).
fof(f12202,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12201,f11892]) ).
fof(f12201,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(duplicate_literal_removal,[],[f12198]) ).
fof(f12198,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(resolution,[],[f12112,f11927]) ).
fof(f12112,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| spl11_1 ),
inference(subsumption_resolution,[],[f12111,f11884]) ).
fof(f12111,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12110,f11885]) ).
fof(f12110,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12109,f11886]) ).
fof(f12109,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12108,f11887]) ).
fof(f12108,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12107,f11888]) ).
fof(f12107,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12106,f11889]) ).
fof(f12106,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12095,f11891]) ).
fof(f12095,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(superposition,[],[f12005,f11908]) ).
fof(f11908,plain,
! [X2,X3,X0,X1] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f11819]) ).
fof(f11819,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f11818]) ).
fof(f11818,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f11791]) ).
fof(f11791,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) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fDQFEZ7H4F/Vampire---4.8_17189',d7_isocat_2) ).
fof(f12005,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| spl11_1 ),
inference(subsumption_resolution,[],[f12004,f11884]) ).
fof(f12004,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12003,f11885]) ).
fof(f12003,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12002,f11886]) ).
fof(f12002,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12001,f11887]) ).
fof(f12001,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f12000,f11888]) ).
fof(f12000,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f11999,f11889]) ).
fof(f11999,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f11981,f11890]) ).
fof(f11981,plain,
( ~ r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| spl11_1 ),
inference(superposition,[],[f11942,f11908]) ).
fof(f11942,plain,
( ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4))
| spl11_1 ),
inference(avatar_component_clause,[],[f11940]) ).
fof(f12020,plain,
spl11_4,
inference(avatar_contradiction_clause,[],[f12019]) ).
fof(f12019,plain,
( $false
| spl11_4 ),
inference(subsumption_resolution,[],[f12018,f11886]) ).
fof(f12018,plain,
( ~ v2_cat_1(sK1)
| spl11_4 ),
inference(subsumption_resolution,[],[f12017,f11887]) ).
fof(f12017,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_4 ),
inference(subsumption_resolution,[],[f12016,f11888]) ).
fof(f12016,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_4 ),
inference(subsumption_resolution,[],[f12014,f11889]) ).
fof(f12014,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_4 ),
inference(resolution,[],[f11958,f11904]) ).
fof(f11904,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f11813]) ).
fof(f11813,plain,
! [X0,X1] :
( ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f11812]) ).
fof(f11812,plain,
! [X0,X1] :
( ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f8397]) ).
fof(f8397,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fDQFEZ7H4F/Vampire---4.8_17189',dt_k11_cat_2) ).
fof(f11958,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| spl11_4 ),
inference(avatar_component_clause,[],[f11956]) ).
fof(f11972,plain,
spl11_3,
inference(avatar_contradiction_clause,[],[f11971]) ).
fof(f11971,plain,
( $false
| spl11_3 ),
inference(subsumption_resolution,[],[f11970,f11886]) ).
fof(f11970,plain,
( ~ v2_cat_1(sK1)
| spl11_3 ),
inference(subsumption_resolution,[],[f11969,f11887]) ).
fof(f11969,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_3 ),
inference(subsumption_resolution,[],[f11968,f11888]) ).
fof(f11968,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_3 ),
inference(subsumption_resolution,[],[f11966,f11889]) ).
fof(f11966,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| spl11_3 ),
inference(resolution,[],[f11954,f11903]) ).
fof(f11903,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f11813]) ).
fof(f11954,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| spl11_3 ),
inference(avatar_component_clause,[],[f11952]) ).
fof(f11947,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f11893,f11944,f11940]) ).
fof(f11893,plain,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(cnf_transformation,[],[f11868]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT026+3 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n025.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 18:10:54 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.34 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.fDQFEZ7H4F/Vampire---4.8_17189
% 0.87/1.05 % (17304)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 (2993ds/56Mi)
% 0.87/1.05 % (17297)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 (2993ds/34Mi)
% 0.87/1.05 % (17298)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 (2993ds/51Mi)
% 0.87/1.05 % (17299)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2993ds/78Mi)
% 0.87/1.05 % (17300)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2993ds/33Mi)
% 0.87/1.05 % (17301)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 (2993ds/34Mi)
% 0.87/1.05 % (17302)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/45Mi)
% 0.87/1.05 % (17303)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 (2993ds/83Mi)
% 0.87/1.07 % (17304)Instruction limit reached!
% 0.87/1.07 % (17304)------------------------------
% 0.87/1.07 % (17304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.07 % (17304)Termination reason: Unknown
% 0.87/1.07 % (17304)Termination phase: SInE selection
% 0.87/1.07
% 0.87/1.07 % (17304)Memory used [KB]: 16134
% 0.87/1.07 % (17304)Time elapsed: 0.022 s
% 0.87/1.07 % (17304)Instructions burned: 58 (million)
% 0.87/1.07 % (17304)------------------------------
% 0.87/1.07 % (17304)------------------------------
% 0.87/1.07 % (17297)Instruction limit reached!
% 0.87/1.07 % (17297)------------------------------
% 0.87/1.07 % (17297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.07 % (17297)Termination reason: Unknown
% 0.87/1.07 % (17297)Termination phase: SInE selection
% 0.87/1.07
% 0.87/1.07 % (17297)Memory used [KB]: 15949
% 0.87/1.07 % (17297)Time elapsed: 0.024 s
% 0.87/1.07 % (17297)Instructions burned: 34 (million)
% 0.87/1.07 % (17297)------------------------------
% 0.87/1.07 % (17297)------------------------------
% 0.87/1.07 % (17300)Instruction limit reached!
% 0.87/1.07 % (17300)------------------------------
% 0.87/1.07 % (17300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.07 % (17300)Termination reason: Unknown
% 0.87/1.07 % (17300)Termination phase: SInE selection
% 0.87/1.07
% 0.87/1.07 % (17300)Memory used [KB]: 15949
% 0.87/1.07 % (17300)Time elapsed: 0.024 s
% 0.87/1.07 % (17300)Instructions burned: 33 (million)
% 0.87/1.07 % (17300)------------------------------
% 0.87/1.07 % (17300)------------------------------
% 0.87/1.07 % (17301)Instruction limit reached!
% 0.87/1.07 % (17301)------------------------------
% 0.87/1.07 % (17301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.07 % (17301)Termination reason: Unknown
% 0.87/1.07 % (17301)Termination phase: SInE selection
% 0.87/1.07
% 0.87/1.07 % (17301)Memory used [KB]: 15950
% 0.87/1.07 % (17301)Time elapsed: 0.024 s
% 0.87/1.07 % (17301)Instructions burned: 34 (million)
% 0.87/1.07 % (17301)------------------------------
% 0.87/1.07 % (17301)------------------------------
% 0.87/1.07 % (17305)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 (2992ds/55Mi)
% 0.87/1.07 % (17306)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 (2992ds/50Mi)
% 0.87/1.07 % (17307)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 (2992ds/208Mi)
% 0.87/1.07 % (17308)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 (2992ds/52Mi)
% 0.87/1.08 % (17302)Instruction limit reached!
% 0.87/1.08 % (17302)------------------------------
% 0.87/1.08 % (17302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.08 % (17302)Termination reason: Unknown
% 0.87/1.08 % (17302)Termination phase: SInE selection
% 0.87/1.08
% 0.87/1.08 % (17302)Memory used [KB]: 16078
% 0.87/1.08 % (17302)Time elapsed: 0.032 s
% 0.87/1.08 % (17302)Instructions burned: 46 (million)
% 0.87/1.08 % (17302)------------------------------
% 0.87/1.08 % (17302)------------------------------
% 0.87/1.08 % (17298)Instruction limit reached!
% 0.87/1.08 % (17298)------------------------------
% 0.87/1.08 % (17298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.08 % (17298)Termination reason: Unknown
% 0.87/1.08 % (17298)Termination phase: SInE selection
% 0.87/1.08
% 0.87/1.08 % (17298)Memory used [KB]: 16111
% 0.87/1.08 % (17298)Time elapsed: 0.034 s
% 0.87/1.08 % (17298)Instructions burned: 51 (million)
% 0.87/1.08 % (17298)------------------------------
% 0.87/1.08 % (17298)------------------------------
% 0.87/1.08 % (17309)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 (2992ds/518Mi)
% 0.87/1.08 % (17310)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 (2992ds/42Mi)
% 0.87/1.09 % (17305)Instruction limit reached!
% 0.87/1.09 % (17305)------------------------------
% 0.87/1.09 % (17305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.09 % (17305)Termination reason: Unknown
% 0.87/1.09 % (17305)Termination phase: SInE selection
% 0.87/1.09
% 0.87/1.09 % (17305)Memory used [KB]: 16134
% 0.87/1.09 % (17305)Time elapsed: 0.020 s
% 0.87/1.09 % (17305)Instructions burned: 55 (million)
% 0.87/1.09 % (17305)------------------------------
% 0.87/1.09 % (17305)------------------------------
% 0.87/1.09 % (17311)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 (2992ds/243Mi)
% 1.08/1.10 % (17299)Instruction limit reached!
% 1.08/1.10 % (17299)------------------------------
% 1.08/1.10 % (17299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.10 % (17299)Termination reason: Unknown
% 1.08/1.10 % (17299)Termination phase: Preprocessing 1
% 1.08/1.10
% 1.08/1.10 % (17299)Memory used [KB]: 16106
% 1.08/1.10 % (17299)Time elapsed: 0.055 s
% 1.08/1.10 % (17299)Instructions burned: 79 (million)
% 1.08/1.10 % (17299)------------------------------
% 1.08/1.10 % (17299)------------------------------
% 1.08/1.10 % (17303)Instruction limit reached!
% 1.08/1.10 % (17303)------------------------------
% 1.08/1.10 % (17303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.10 % (17303)Termination reason: Unknown
% 1.08/1.10 % (17303)Termination phase: SInE selection
% 1.08/1.10
% 1.08/1.10 % (17303)Memory used [KB]: 16126
% 1.08/1.10 % (17303)Time elapsed: 0.057 s
% 1.08/1.10 % (17303)Instructions burned: 83 (million)
% 1.08/1.10 % (17303)------------------------------
% 1.08/1.10 % (17303)------------------------------
% 1.08/1.10 % (17306)Instruction limit reached!
% 1.08/1.10 % (17306)------------------------------
% 1.08/1.10 % (17306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.10 % (17306)Termination reason: Unknown
% 1.08/1.10 % (17306)Termination phase: SInE selection
% 1.08/1.10
% 1.08/1.10 % (17310)Instruction limit reached!
% 1.08/1.10 % (17310)------------------------------
% 1.08/1.10 % (17310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.10 % (17306)Memory used [KB]: 16111
% 1.08/1.10 % (17306)Time elapsed: 0.033 s
% 1.08/1.10 % (17306)Instructions burned: 50 (million)
% 1.08/1.10 % (17306)------------------------------
% 1.08/1.10 % (17306)------------------------------
% 1.08/1.10 % (17310)Termination reason: Unknown
% 1.08/1.10 % (17310)Termination phase: Preprocessing 1
% 1.08/1.10
% 1.08/1.10 % (17310)Memory used [KB]: 16202
% 1.08/1.10 % (17310)Time elapsed: 0.023 s
% 1.08/1.10 % (17310)Instructions burned: 42 (million)
% 1.08/1.10 % (17310)------------------------------
% 1.08/1.10 % (17310)------------------------------
% 1.08/1.11 % (17312)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 (2992ds/117Mi)
% 1.08/1.11 % (17313)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 (2992ds/143Mi)
% 1.08/1.11 % (17308)Instruction limit reached!
% 1.08/1.11 % (17308)------------------------------
% 1.08/1.11 % (17308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.11 % (17308)Termination reason: Unknown
% 1.08/1.11 % (17308)Termination phase: SInE selection
% 1.08/1.11
% 1.08/1.11 % (17308)Memory used [KB]: 16134
% 1.08/1.11 % (17308)Time elapsed: 0.036 s
% 1.08/1.11 % (17308)Instructions burned: 52 (million)
% 1.08/1.11 % (17308)------------------------------
% 1.08/1.11 % (17308)------------------------------
% 1.08/1.11 % (17314)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 (2992ds/93Mi)
% 1.08/1.11 % (17315)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 (2992ds/62Mi)
% 1.08/1.11 % (17316)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 (2992ds/32Mi)
% 1.08/1.14 % (17316)Instruction limit reached!
% 1.08/1.14 % (17316)------------------------------
% 1.08/1.14 % (17316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.14 % (17316)Termination reason: Unknown
% 1.08/1.14 % (17316)Termination phase: SInE selection
% 1.08/1.14
% 1.08/1.14 % (17316)Memory used [KB]: 15950
% 1.08/1.14 % (17316)Time elapsed: 0.025 s
% 1.08/1.14 % (17316)Instructions burned: 33 (million)
% 1.08/1.14 % (17316)------------------------------
% 1.08/1.14 % (17316)------------------------------
% 1.08/1.14 % (17317)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 (2992ds/1919Mi)
% 1.08/1.14 % (17315)Instruction limit reached!
% 1.08/1.14 % (17315)------------------------------
% 1.08/1.14 % (17315)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.14 % (17315)Termination reason: Unknown
% 1.08/1.14 % (17315)Termination phase: Preprocessing 1
% 1.08/1.14
% 1.08/1.14 % (17315)Memory used [KB]: 16275
% 1.08/1.14 % (17315)Time elapsed: 0.035 s
% 1.08/1.14 % (17315)Instructions burned: 62 (million)
% 1.08/1.14 % (17315)------------------------------
% 1.08/1.14 % (17315)------------------------------
% 1.08/1.15 % (17318)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 (2992ds/55Mi)
% 1.08/1.16 % (17314)Instruction limit reached!
% 1.08/1.16 % (17314)------------------------------
% 1.08/1.16 % (17314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.16 % (17314)Termination reason: Unknown
% 1.08/1.16 % (17314)Termination phase: Unused predicate definition removal
% 1.08/1.16
% 1.08/1.16 % (17314)Memory used [KB]: 17781
% 1.08/1.16 % (17314)Time elapsed: 0.057 s
% 1.08/1.16 % (17314)Instructions burned: 93 (million)
% 1.08/1.16 % (17314)------------------------------
% 1.08/1.16 % (17314)------------------------------
% 1.08/1.17 % (17311)Instruction limit reached!
% 1.08/1.17 % (17311)------------------------------
% 1.08/1.17 % (17311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/1.17 % (17311)Termination reason: Unknown
% 1.08/1.17 % (17311)Termination phase: Saturation
% 1.08/1.17
% 1.08/1.17 % (17311)Memory used [KB]: 18671
% 1.08/1.17 % (17311)Time elapsed: 0.076 s
% 1.08/1.17 % (17311)Instructions burned: 245 (million)
% 1.08/1.17 % (17311)------------------------------
% 1.08/1.17 % (17311)------------------------------
% 1.08/1.17 % (17320)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 (2991ds/46Mi)
% 1.08/1.17 % (17309)First to succeed.
% 1.08/1.17 % (17319)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 (2991ds/53Mi)
% 1.08/1.17 % (17309)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17296"
% 1.84/1.18 % (17309)Refutation found. Thanks to Tanya!
% 1.84/1.18 % SZS status Theorem for Vampire---4
% 1.84/1.18 % SZS output start Proof for Vampire---4
% See solution above
% 1.84/1.18 % (17309)------------------------------
% 1.84/1.18 % (17309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.84/1.18 % (17309)Termination reason: Refutation
% 1.84/1.18
% 1.84/1.18 % (17309)Memory used [KB]: 16898
% 1.84/1.18 % (17309)Time elapsed: 0.094 s
% 1.84/1.18 % (17309)Instructions burned: 145 (million)
% 1.84/1.18 % (17296)Success in time 0.81 s
% 1.87/1.18 % Vampire---4.8 exiting
%------------------------------------------------------------------------------