%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT032+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:47 AM UTC 2026
% Result : Theorem 23.71s 5.66s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 144 ( 33 unt; 18 def)
% Number of atoms : 538 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 702 ( 308 ~; 301 |; 58 &)
% ( 21 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 19 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn 71 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21181,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f25808,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f27592,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_isocat_1) ).
fof(f29051,axiom,
! [X0,X1,X2] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_isocat_2) ).
fof(f29117,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_isocat_2) ).
fof(f29118,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_isocat_2) ).
fof(f29119,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f29118]) ).
fof(f29123,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f29119]) ).
fof(f29124,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f29123]) ).
fof(f29143,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f27592]) ).
fof(f29144,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f29143]) ).
fof(f29145,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f21181]) ).
fof(f29146,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f29145]) ).
fof(f29151,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f29117]) ).
fof(f29152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f29151]) ).
fof(f29187,plain,
! [X0,X1,X2] :
( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(ennf_transformation,[],[f29051]) ).
fof(f29188,plain,
! [X0,X1,X2] :
( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(flattening,[],[f29187]) ).
fof(f29197,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f25808]) ).
fof(f29198,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f29197]) ).
fof(f29214,plain,
( ~ r1_isocat_1(k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
& v2_cat_1(sK6)
& l1_cat_1(sK6)
& v2_cat_1(sK5)
& l1_cat_1(sK5)
& v2_cat_1(sK4)
& l1_cat_1(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f29124]) ).
fof(f29217,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(nnf_transformation,[],[f29144]) ).
fof(f29218,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ? [X3] :
( m2_cat_1(X3,X0,X1)
& v8_cat_1(X3,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(rectify,[],[f29217]) ).
fof(f29219,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ( m2_cat_1(sK9(X0,X1),X0,X1)
& v8_cat_1(sK9(X0,X1),X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f29218]) ).
fof(f29253,plain,
l1_cat_1(sK4),
inference(cnf_transformation,[],[f29214]) ).
fof(f29254,plain,
v2_cat_1(sK4),
inference(cnf_transformation,[],[f29214]) ).
fof(f29255,plain,
l1_cat_1(sK5),
inference(cnf_transformation,[],[f29214]) ).
fof(f29256,plain,
v2_cat_1(sK5),
inference(cnf_transformation,[],[f29214]) ).
fof(f29257,plain,
l1_cat_1(sK6),
inference(cnf_transformation,[],[f29214]) ).
fof(f29258,plain,
v2_cat_1(sK6),
inference(cnf_transformation,[],[f29214]) ).
fof(f29259,plain,
~ r1_isocat_1(k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6))),
inference(cnf_transformation,[],[f29214]) ).
fof(f29274,plain,
! [X2,X0,X1] :
( r1_isocat_1(X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f29219]) ).
fof(f29275,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f29146]) ).
fof(f29276,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f29146]) ).
fof(f29279,plain,
! [X2,X0,X1] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f29152]) ).
fof(f29332,plain,
! [X2,X0,X1] :
( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(cnf_transformation,[],[f29188]) ).
fof(f29337,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f29198]) ).
fof(f29338,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f29198]) ).
fof(f29405,definition,
( spl40_3
<=> l1_cat_1(k12_nattra_1(sK4,k11_cat_2(sK5,sK6))) ),
introduced(definition,[new_symbols(definition,[spl40_3])],[avatar_definition]) ).
fof(f29407,plain,
( ~ l1_cat_1(k12_nattra_1(sK4,k11_cat_2(sK5,sK6)))
| spl40_3 ),
inference(avatar_component_clause,[],[f29405]) ).
fof(f29409,definition,
( spl40_4
<=> v2_cat_1(k12_nattra_1(sK4,k11_cat_2(sK5,sK6))) ),
introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).
fof(f29411,plain,
( ~ v2_cat_1(k12_nattra_1(sK4,k11_cat_2(sK5,sK6)))
| spl40_4 ),
inference(avatar_component_clause,[],[f29409]) ).
fof(f29413,definition,
( spl40_5
<=> l1_cat_1(k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6))) ),
introduced(definition,[new_symbols(definition,[spl40_5])],[avatar_definition]) ).
fof(f29415,plain,
( ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| spl40_5 ),
inference(avatar_component_clause,[],[f29413]) ).
fof(f29417,definition,
( spl40_6
<=> v2_cat_1(k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6))) ),
introduced(definition,[new_symbols(definition,[spl40_6])],[avatar_definition]) ).
fof(f29419,plain,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| spl40_6 ),
inference(avatar_component_clause,[],[f29417]) ).
fof(f29425,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(k11_cat_2(sK5,sK6))
| ~ l1_cat_1(k11_cat_2(sK5,sK6))
| spl40_3 ),
inference(resolution,[],[f29407,f29337]) ).
fof(f29427,definition,
( spl40_8
<=> l1_cat_1(k11_cat_2(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl40_8])],[avatar_definition]) ).
fof(f29429,plain,
( ~ l1_cat_1(k11_cat_2(sK5,sK6))
| spl40_8 ),
inference(avatar_component_clause,[],[f29427]) ).
fof(f29431,definition,
( spl40_9
<=> v2_cat_1(k11_cat_2(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl40_9])],[avatar_definition]) ).
fof(f29433,plain,
( ~ v2_cat_1(k11_cat_2(sK5,sK6))
| spl40_9 ),
inference(avatar_component_clause,[],[f29431]) ).
fof(f29435,definition,
( spl40_10
<=> l1_cat_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl40_10])],[avatar_definition]) ).
fof(f29437,plain,
( ~ l1_cat_1(sK4)
| spl40_10 ),
inference(avatar_component_clause,[],[f29435]) ).
fof(f29439,definition,
( spl40_11
<=> v2_cat_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl40_11])],[avatar_definition]) ).
fof(f29441,plain,
( ~ v2_cat_1(sK4)
| spl40_11 ),
inference(avatar_component_clause,[],[f29439]) ).
fof(f29442,plain,
( ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_11
| spl40_3 ),
inference(avatar_split_clause,[],[f29425,f29405,f29439,f29435,f29431,f29427]) ).
fof(f29443,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl40_8 ),
inference(resolution,[],[f29429,f29275]) ).
fof(f29445,definition,
( spl40_12
<=> l1_cat_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl40_12])],[avatar_definition]) ).
fof(f29447,plain,
( ~ l1_cat_1(sK6)
| spl40_12 ),
inference(avatar_component_clause,[],[f29445]) ).
fof(f29449,definition,
( spl40_13
<=> v2_cat_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl40_13])],[avatar_definition]) ).
fof(f29451,plain,
( ~ v2_cat_1(sK6)
| spl40_13 ),
inference(avatar_component_clause,[],[f29449]) ).
fof(f29453,definition,
( spl40_14
<=> l1_cat_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl40_14])],[avatar_definition]) ).
fof(f29455,plain,
( ~ l1_cat_1(sK5)
| spl40_14 ),
inference(avatar_component_clause,[],[f29453]) ).
fof(f29457,definition,
( spl40_15
<=> v2_cat_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl40_15])],[avatar_definition]) ).
fof(f29459,plain,
( ~ v2_cat_1(sK5)
| spl40_15 ),
inference(avatar_component_clause,[],[f29457]) ).
fof(f29460,plain,
( ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| spl40_8 ),
inference(avatar_split_clause,[],[f29443,f29427,f29457,f29453,f29449,f29445]) ).
fof(f29461,plain,
( $false
| spl40_12 ),
inference(resolution,[],[f29447,f29257]) ).
fof(f29462,plain,
spl40_12,
inference(avatar_contradiction_clause,[],[f29461]) ).
fof(f29464,plain,
! [X0] :
( ~ m2_cat_1(X0,k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| ~ v8_cat_1(X0,k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| ~ v2_cat_1(k12_nattra_1(sK4,k11_cat_2(sK5,sK6)))
| ~ l1_cat_1(k12_nattra_1(sK4,k11_cat_2(sK5,sK6))) ),
inference(resolution,[],[f29274,f29259]) ).
fof(f29466,definition,
( spl40_16
<=> ! [X0] :
( ~ m2_cat_1(X0,k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| ~ v8_cat_1(X0,k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6))) ) ),
introduced(definition,[new_symbols(definition,[spl40_16])],[avatar_definition]) ).
fof(f29467,plain,
( ! [X0] :
( ~ v8_cat_1(X0,k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| ~ m2_cat_1(X0,k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6))) )
| ~ spl40_16 ),
inference(avatar_component_clause,[],[f29466]) ).
fof(f29468,plain,
( ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| ~ spl40_6
| spl40_16 ),
inference(avatar_split_clause,[],[f29464,f29466,f29417,f29413,f29409,f29405]) ).
fof(f29469,plain,
( $false
| spl40_13 ),
inference(resolution,[],[f29451,f29258]) ).
fof(f29470,plain,
spl40_13,
inference(avatar_contradiction_clause,[],[f29469]) ).
fof(f29476,plain,
( $false
| spl40_14 ),
inference(resolution,[],[f29455,f29255]) ).
fof(f29477,plain,
spl40_14,
inference(avatar_contradiction_clause,[],[f29476]) ).
fof(f29478,plain,
( $false
| spl40_15 ),
inference(resolution,[],[f29459,f29256]) ).
fof(f29479,plain,
spl40_15,
inference(avatar_contradiction_clause,[],[f29478]) ).
fof(f29480,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl40_9 ),
inference(resolution,[],[f29433,f29276]) ).
fof(f29481,plain,
( ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| spl40_9 ),
inference(avatar_split_clause,[],[f29480,f29431,f29457,f29453,f29449,f29445]) ).
fof(f29482,plain,
( $false
| spl40_10 ),
inference(resolution,[],[f29437,f29253]) ).
fof(f29483,plain,
spl40_10,
inference(avatar_contradiction_clause,[],[f29482]) ).
fof(f29484,plain,
( $false
| spl40_11 ),
inference(resolution,[],[f29441,f29254]) ).
fof(f29485,plain,
spl40_11,
inference(avatar_contradiction_clause,[],[f29484]) ).
fof(f29486,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(k11_cat_2(sK5,sK6))
| ~ l1_cat_1(k11_cat_2(sK5,sK6))
| spl40_4 ),
inference(resolution,[],[f29411,f29338]) ).
fof(f29487,plain,
( ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_11
| spl40_4 ),
inference(avatar_split_clause,[],[f29486,f29409,f29439,f29435,f29431,f29427]) ).
fof(f29488,plain,
( ~ v2_cat_1(k12_nattra_1(sK4,sK5))
| ~ l1_cat_1(k12_nattra_1(sK4,sK5))
| ~ v2_cat_1(k12_nattra_1(sK4,sK6))
| ~ l1_cat_1(k12_nattra_1(sK4,sK6))
| spl40_5 ),
inference(resolution,[],[f29415,f29275]) ).
fof(f29490,definition,
( spl40_18
<=> l1_cat_1(k12_nattra_1(sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl40_18])],[avatar_definition]) ).
fof(f29492,plain,
( ~ l1_cat_1(k12_nattra_1(sK4,sK6))
| spl40_18 ),
inference(avatar_component_clause,[],[f29490]) ).
fof(f29494,definition,
( spl40_19
<=> v2_cat_1(k12_nattra_1(sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl40_19])],[avatar_definition]) ).
fof(f29496,plain,
( ~ v2_cat_1(k12_nattra_1(sK4,sK6))
| spl40_19 ),
inference(avatar_component_clause,[],[f29494]) ).
fof(f29498,definition,
( spl40_20
<=> l1_cat_1(k12_nattra_1(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl40_20])],[avatar_definition]) ).
fof(f29500,plain,
( ~ l1_cat_1(k12_nattra_1(sK4,sK5))
| spl40_20 ),
inference(avatar_component_clause,[],[f29498]) ).
fof(f29502,definition,
( spl40_21
<=> v2_cat_1(k12_nattra_1(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl40_21])],[avatar_definition]) ).
fof(f29504,plain,
( ~ v2_cat_1(k12_nattra_1(sK4,sK5))
| spl40_21 ),
inference(avatar_component_clause,[],[f29502]) ).
fof(f29505,plain,
( ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| spl40_5 ),
inference(avatar_split_clause,[],[f29488,f29413,f29502,f29498,f29494,f29490]) ).
fof(f29506,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl40_18 ),
inference(resolution,[],[f29492,f29337]) ).
fof(f29507,plain,
( ~ spl40_12
| ~ spl40_13
| ~ spl40_10
| ~ spl40_11
| spl40_18 ),
inference(avatar_split_clause,[],[f29506,f29490,f29439,f29435,f29449,f29445]) ).
fof(f29508,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl40_19 ),
inference(resolution,[],[f29496,f29338]) ).
fof(f29509,plain,
( ~ spl40_12
| ~ spl40_13
| ~ spl40_10
| ~ spl40_11
| spl40_19 ),
inference(avatar_split_clause,[],[f29508,f29494,f29439,f29435,f29449,f29445]) ).
fof(f29513,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl40_20 ),
inference(resolution,[],[f29500,f29337]) ).
fof(f29514,plain,
( ~ spl40_14
| ~ spl40_15
| ~ spl40_10
| ~ spl40_11
| spl40_20 ),
inference(avatar_split_clause,[],[f29513,f29498,f29439,f29435,f29457,f29453]) ).
fof(f29529,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl40_21 ),
inference(resolution,[],[f29504,f29338]) ).
fof(f29530,plain,
( ~ spl40_14
| ~ spl40_15
| ~ spl40_10
| ~ spl40_11
| spl40_21 ),
inference(avatar_split_clause,[],[f29529,f29502,f29439,f29435,f29457,f29453]) ).
fof(f29545,plain,
( ~ v2_cat_1(k12_nattra_1(sK4,sK5))
| ~ l1_cat_1(k12_nattra_1(sK4,sK5))
| ~ v2_cat_1(k12_nattra_1(sK4,sK6))
| ~ l1_cat_1(k12_nattra_1(sK4,sK6))
| spl40_6 ),
inference(resolution,[],[f29419,f29276]) ).
fof(f29546,plain,
( ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| spl40_6 ),
inference(avatar_split_clause,[],[f29545,f29417,f29502,f29498,f29494,f29490]) ).
fof(f29636,plain,
( ~ m2_cat_1(k17_isocat_2(sK4,sK5,sK6),k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ spl40_16 ),
inference(resolution,[],[f29467,f29279]) ).
fof(f29638,definition,
( spl40_37
<=> m2_cat_1(k17_isocat_2(sK4,sK5,sK6),k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6))) ),
introduced(definition,[new_symbols(definition,[spl40_37])],[avatar_definition]) ).
fof(f29640,plain,
( ~ m2_cat_1(k17_isocat_2(sK4,sK5,sK6),k12_nattra_1(sK4,k11_cat_2(sK5,sK6)),k11_cat_2(k12_nattra_1(sK4,sK5),k12_nattra_1(sK4,sK6)))
| spl40_37 ),
inference(avatar_component_clause,[],[f29638]) ).
fof(f29641,plain,
( ~ spl40_10
| ~ spl40_11
| ~ spl40_14
| ~ spl40_15
| ~ spl40_12
| ~ spl40_13
| ~ spl40_37
| ~ spl40_16 ),
inference(avatar_split_clause,[],[f29636,f29466,f29638,f29449,f29445,f29457,f29453,f29439,f29435]) ).
fof(f29671,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl40_37 ),
inference(resolution,[],[f29640,f29332]) ).
fof(f29678,plain,
( ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_10
| ~ spl40_11
| spl40_37 ),
inference(avatar_split_clause,[],[f29671,f29638,f29439,f29435,f29457,f29453,f29449,f29445]) ).
cnf(s3,plain,
( spl40_3
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_11 ),
inference(sat_conversion,[],[f29442]) ).
cnf(s4,plain,
( spl40_8
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15 ),
inference(sat_conversion,[],[f29460]) ).
cnf(s5,plain,
spl40_12,
inference(sat_conversion,[],[f29462]) ).
cnf(s6,plain,
( ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| ~ spl40_6
| spl40_16 ),
inference(sat_conversion,[],[f29468]) ).
cnf(s7,plain,
spl40_13,
inference(sat_conversion,[],[f29470]) ).
cnf(s9,plain,
spl40_14,
inference(sat_conversion,[],[f29477]) ).
cnf(s10,plain,
spl40_15,
inference(sat_conversion,[],[f29479]) ).
cnf(s11,plain,
( spl40_9
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15 ),
inference(sat_conversion,[],[f29481]) ).
cnf(s12,plain,
spl40_10,
inference(sat_conversion,[],[f29483]) ).
cnf(s13,plain,
spl40_11,
inference(sat_conversion,[],[f29485]) ).
cnf(s14,plain,
( spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_11 ),
inference(sat_conversion,[],[f29487]) ).
cnf(s15,plain,
( spl40_5
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21 ),
inference(sat_conversion,[],[f29505]) ).
cnf(s16,plain,
( ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| ~ spl40_13
| spl40_18 ),
inference(sat_conversion,[],[f29507]) ).
cnf(s17,plain,
( ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| ~ spl40_13
| spl40_19 ),
inference(sat_conversion,[],[f29509]) ).
cnf(s18,plain,
( ~ spl40_10
| ~ spl40_11
| ~ spl40_14
| ~ spl40_15
| spl40_20 ),
inference(sat_conversion,[],[f29514]) ).
cnf(s21,plain,
( ~ spl40_10
| ~ spl40_11
| ~ spl40_14
| ~ spl40_15
| spl40_21 ),
inference(sat_conversion,[],[f29530]) ).
cnf(s23,plain,
( spl40_6
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21 ),
inference(sat_conversion,[],[f29546]) ).
cnf(s40,plain,
( ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_37 ),
inference(sat_conversion,[],[f29641]) ).
cnf(s46,plain,
( ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| spl40_37 ),
inference(sat_conversion,[],[f29678]) ).
cnf(s47,plain,
spl40_21,
inference(rat,[],[s21,s10,s12,s13,s9]) ).
cnf(s48,plain,
spl40_20,
inference(rat,[],[s18,s10,s12,s13,s9]) ).
cnf(s50,plain,
spl40_37,
inference(rat,[],[s46,s7,s10,s9,s12,s13,s5]) ).
cnf(s51,plain,
~ spl40_16,
inference(rat,[],[s40,s50,s7,s10,s9,s12,s13,s5]) ).
cnf(s52,plain,
spl40_19,
inference(rat,[],[s17,s7,s12,s13,s5]) ).
cnf(s53,plain,
spl40_18,
inference(rat,[],[s16,s7,s12,s13,s5]) ).
cnf(s54,plain,
spl40_9,
inference(rat,[],[s11,s10,s9,s7,s5]) ).
cnf(s55,plain,
spl40_6,
inference(rat,[],[s23,s47,s48,s52,s53]) ).
cnf(s56,plain,
spl40_5,
inference(rat,[],[s15,s47,s48,s52,s53]) ).
cnf(s58,plain,
spl40_8,
inference(rat,[],[s4,s10,s9,s7,s5]) ).
cnf(s59,plain,
spl40_4,
inference(rat,[],[s14,s13,s12,s54,s58]) ).
cnf(s60,plain,
~ spl40_3,
inference(rat,[],[s6,s51,s55,s56,s59]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s3,s13,s12,s54,s58,s60]) ).
fof(f29679,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT032+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:21:17 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.53/4.58 % (2356973)Detected formulas, will run a generic FOF schedule.
% 16.53/4.58 % (2357131)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=633515004:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 16.53/4.58 % (2357132)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=817851784:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 16.53/4.58 % (2357133)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1946729974:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 16.53/4.58 % (2357134)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3115467067:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 16.53/4.58 % (2357130)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1998713681:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 16.53/4.58 % (2357136)dis-21_1_sil=8000:lcm=predicate:random_seed=3122646605:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 16.53/4.58 % (2357135)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3091745299:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 16.53/4.58 % (2357135)Instruction limit reached!
% 16.53/4.58 % (2357135)------------------------------
% 16.53/4.58 % (2357135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.53/4.58 % (2357135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/4.58 % (2357135)CaDiCaL version: 2.1.3
% 16.53/4.58 % (2357135)Termination reason: Instruction limit
% 16.53/4.58 % (2357135)Termination phase: Property scanning
% 16.53/4.58 % (2357135)Time elapsed: 0.062 s
% 16.53/4.58 % (2357135)Peak memory usage: 127 MB
% 16.53/4.58 % (2357135)Instructions burned: 141 (million)
% 16.53/4.58 % (2357133)Instruction limit reached!
% 16.53/4.58 % (2357133)------------------------------
% 16.53/4.58 % (2357133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.53/4.58 % (2357133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/4.58 % (2357133)CaDiCaL version: 2.1.3
% 16.53/4.58 % (2357133)Termination reason: Instruction limit
% 16.53/4.58 % (2357133)Termination phase: SInE selection
% 16.53/4.58 % (2357133)Time elapsed: 0.082 s
% 16.53/4.58 % (2357133)Peak memory usage: 127 MB
% 16.53/4.58 % (2357133)Instructions burned: 110 (million)
% 16.53/4.58 % (2357136)Instruction limit reached!
% 16.53/4.58 % (2357136)------------------------------
% 16.53/4.58 % (2357136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.53/4.58 % (2357136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/4.58 % (2357136)CaDiCaL version: 2.1.3
% 16.53/4.58 % (2357136)Termination reason: Instruction limit
% 16.53/4.58 % (2357136)Termination phase: SInE selection
% 16.53/4.58 % (2357136)Time elapsed: 0.089 s
% 16.53/4.58 % (2357136)Peak memory usage: 127 MB
% 16.53/4.58 % (2357136)Instructions burned: 130 (million)
% 16.53/4.58 % (2357134)Instruction limit reached!
% 16.53/4.58 % (2357134)------------------------------
% 16.53/4.58 % (2357134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.53/4.58 % (2357134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/4.58 % (2357134)CaDiCaL version: 2.1.3
% 16.53/4.58 % (2357134)Termination reason: Instruction limit
% 16.53/4.58 % (2357134)Termination phase: SInE selection
% 16.53/4.58 % (2357134)Time elapsed: 0.090 s
% 16.53/4.58 % (2357134)Peak memory usage: 127 MB
% 16.53/4.58 % (2357134)Instructions burned: 119 (million)
% 16.53/4.58 % (2357144)lrs+10_1_sil=8000:sp=occurrence:random_seed=351378759:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 16.53/4.58 % (2357145)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2522462481:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/157Mi)
% 16.53/4.58 % (2357147)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=633128117:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 16.53/4.58 % (2357146)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2820019797:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 16.53/4.58 % (2357145)Instruction limit reached!
% 23.71/5.66 % (2357145)------------------------------
% 23.71/5.66 % (2357145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357145)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357145)Termination reason: Instruction limit
% 23.71/5.66 % (2357145)Termination phase: Property scanning
% 23.71/5.66 % (2357145)Time elapsed: 0.068 s
% 23.71/5.66 % (2357145)Peak memory usage: 127 MB
% 23.71/5.66 % (2357145)Instructions burned: 158 (million)
% 23.71/5.66 % (2357147)Instruction limit reached!
% 23.71/5.66 % (2357147)------------------------------
% 23.71/5.66 % (2357147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357147)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357147)Termination reason: Instruction limit
% 23.71/5.66 % (2357147)Termination phase: Property scanning
% 23.71/5.66 % (2357147)Time elapsed: 0.108 s
% 23.71/5.66 % (2357147)Peak memory usage: 127 MB
% 23.71/5.66 % (2357147)Instructions burned: 250 (million)
% 23.71/5.66 % (2357146)Refutation not found, incomplete strategy
% 23.71/5.66 % (2357146)------------------------------
% 23.71/5.66 % (2357146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357146)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357146)Termination reason: Refutation not found, incomplete strategy
% 23.71/5.66 % (2357146)Time elapsed: 0.161 s
% 23.71/5.66 % (2357146)Peak memory usage: 132 MB
% 23.71/5.66 % (2357146)Instructions burned: 184 (million)
% 23.71/5.66 % (2357144)Instruction limit reached!
% 23.71/5.66 % (2357144)------------------------------
% 23.71/5.66 % (2357144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357144)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357144)Termination reason: Instruction limit
% 23.71/5.66 % (2357144)Termination phase: Saturation
% 23.71/5.66 % (2357144)Time elapsed: 0.227 s
% 23.71/5.66 % (2357144)Peak memory usage: 133 MB
% 23.71/5.66 % (2357144)Instructions burned: 286 (million)
% 23.71/5.66 % (2357152)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1298183297:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 23.71/5.66 % (2357153)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2252183864:i=2350_2977 on theBenchmark for (2977ds/2350Mi)
% 23.71/5.66 % (2357154)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2810239757:cts=off:i=113:fsr=off:ss=included:sgt=4_2976 on theBenchmark for (2976ds/113Mi)
% 23.71/5.66 % (2357146)------------------------------
% 23.71/5.66 % (2357146)------------------------------
% 23.71/5.66 % (2357152)Instruction limit reached!
% 23.71/5.66 % (2357152)------------------------------
% 23.71/5.66 % (2357152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357152)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357152)Termination reason: Instruction limit
% 23.71/5.66 % (2357152)Termination phase: Clausification
% 23.71/5.66 % (2357152)Time elapsed: 0.214 s
% 23.71/5.66 % (2357152)Peak memory usage: 130 MB
% 23.71/5.66 % (2357152)Instructions burned: 295 (million)
% 23.71/5.66 % (2357154)Instruction limit reached!
% 23.71/5.66 % (2357154)------------------------------
% 23.71/5.66 % (2357154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357154)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357154)Termination reason: Instruction limit
% 23.71/5.66 % (2357154)Termination phase: SInE selection
% 23.71/5.66 % (2357154)Time elapsed: 0.090 s
% 23.71/5.66 % (2357154)Peak memory usage: 127 MB
% 23.71/5.66 % (2357154)Instructions burned: 114 (million)
% 23.71/5.66 % (2357158)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3959310440:i=127:av=off:fsr=off:sup=off_2973 on theBenchmark for (2973ds/127Mi)
% 23.71/5.66 % (2357159)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1400065916:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2973 on theBenchmark for (2973ds/114Mi)
% 23.71/5.66 % (2357160)lrs+10_1_sil=8000:sp=occurrence:random_seed=3610544787:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2973 on theBenchmark for (2973ds/907Mi)
% 23.71/5.66 % (2357159)Instruction limit reached!
% 23.71/5.66 % (2357159)------------------------------
% 23.71/5.66 % (2357159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357159)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357159)Termination reason: Instruction limit
% 23.71/5.66 % (2357159)Termination phase: Property scanning
% 23.71/5.66 % (2357159)Time elapsed: 0.051 s
% 23.71/5.66 % (2357159)Peak memory usage: 127 MB
% 23.71/5.66 % (2357159)Instructions burned: 114 (million)
% 23.71/5.66 % (2357158)Instruction limit reached!
% 23.71/5.66 % (2357158)------------------------------
% 23.71/5.66 % (2357158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357158)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357158)Termination reason: Instruction limit
% 23.71/5.66 % (2357158)Termination phase: Preprocessing 1
% 23.71/5.66 % (2357158)Time elapsed: 0.096 s
% 23.71/5.66 % (2357158)Peak memory usage: 128 MB
% 23.71/5.66 % (2357158)Instructions burned: 127 (million)
% 23.71/5.66 % (2357164)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3916037079:i=437:sd=1:aac=none:ss=included_2971 on theBenchmark for (2971ds/437Mi)
% 23.71/5.66 % (2357165)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2066649499:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 23.71/5.66 % (2357164)Refutation not found, incomplete strategy
% 23.71/5.66 % (2357164)------------------------------
% 23.71/5.66 % (2357164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357164)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357164)Termination reason: Refutation not found, incomplete strategy
% 23.71/5.66 % (2357164)Time elapsed: 0.215 s
% 23.71/5.66 % (2357164)Peak memory usage: 134 MB
% 23.71/5.66 % (2357164)Instructions burned: 289 (million)
% 23.71/5.66 % (2357160)Instruction limit reached!
% 23.71/5.66 % (2357160)------------------------------
% 23.71/5.66 % (2357160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357160)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357160)Termination reason: Instruction limit
% 23.71/5.66 % (2357160)Termination phase: Property scanning
% 23.71/5.66 % (2357160)Time elapsed: 0.583 s
% 23.71/5.66 % (2357160)Peak memory usage: 151 MB
% 23.71/5.66 % (2357160)Instructions burned: 908 (million)
% 23.71/5.66 % (2357164)------------------------------
% 23.71/5.66 % (2357164)------------------------------
% 23.71/5.66 % (2357168)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1106460248:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 23.71/5.66 % (2357169)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3163259278:st=8:i=592:sd=3:ep=RST:ss=axioms_2965 on theBenchmark for (2965ds/592Mi)
% 23.71/5.66 % (2357168)Instruction limit reached!
% 23.71/5.66 % (2357168)------------------------------
% 23.71/5.66 % (2357168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357168)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357168)Termination reason: Instruction limit
% 23.71/5.66 % (2357168)Termination phase: SInE selection
% 23.71/5.66 % (2357168)Time elapsed: 0.107 s
% 23.71/5.66 % (2357168)Peak memory usage: 127 MB
% 23.71/5.66 % (2357168)Instructions burned: 135 (million)
% 23.71/5.66 % (2357172)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=812771345:st=3:i=13193:sd=3:ss=axioms_2963 on theBenchmark for (2963ds/13193Mi)
% 23.71/5.66 % (2357153)Instruction limit reached!
% 23.71/5.66 % (2357153)------------------------------
% 23.71/5.66 % (2357153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357153)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357153)Termination reason: Instruction limit
% 23.71/5.66 % (2357153)Termination phase: Property scanning
% 23.71/5.66 % (2357153)Time elapsed: 1.450 s
% 23.71/5.66 % (2357153)Peak memory usage: 208 MB
% 23.71/5.66 % (2357153)Instructions burned: 2351 (million)
% 23.71/5.66 % (2357174)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3600696183:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/125Mi)
% 23.71/5.66 % (2357169)Instruction limit reached!
% 23.71/5.66 % (2357169)------------------------------
% 23.71/5.66 % (2357169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357169)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357169)Termination reason: Instruction limit
% 23.71/5.66 % (2357169)Termination phase: Preprocessing 3
% 23.71/5.66 % (2357169)Time elapsed: 0.458 s
% 23.71/5.66 % (2357169)Peak memory usage: 146 MB
% 23.71/5.66 % (2357169)Instructions burned: 592 (million)
% 23.71/5.66 % (2357174)Instruction limit reached!
% 23.71/5.66 % (2357174)------------------------------
% 23.71/5.66 % (2357174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357174)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357174)Termination reason: Instruction limit
% 23.71/5.66 % (2357174)Termination phase: Property scanning
% 23.71/5.66 % (2357174)Time elapsed: 0.056 s
% 23.71/5.66 % (2357174)Peak memory usage: 127 MB
% 23.71/5.66 % (2357174)Instructions burned: 126 (million)
% 23.71/5.66 % (2357176)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1272241105:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 23.71/5.66 % (2357177)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1920878386:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/141Mi)
% 23.71/5.66 % (2357176)Instruction limit reached!
% 23.71/5.66 % (2357176)------------------------------
% 23.71/5.66 % (2357176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357176)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357176)Termination reason: Instruction limit
% 23.71/5.66 % (2357176)Termination phase: Property scanning
% 23.71/5.66 % (2357176)Time elapsed: 0.059 s
% 23.71/5.66 % (2357176)Peak memory usage: 127 MB
% 23.71/5.66 % (2357176)Instructions burned: 136 (million)
% 23.71/5.66 % (2357177)Instruction limit reached!
% 23.71/5.66 % (2357177)------------------------------
% 23.71/5.66 % (2357177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/5.66 % (2357177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/5.66 % (2357177)CaDiCaL version: 2.1.3
% 23.71/5.66 % (2357177)Termination reason: Instruction limit
% 23.71/5.66 % (2357177)Termination phase: SInE selection
% 23.71/5.66 % (2357177)Time elapsed: 0.105 s
% 23.71/5.66 % (2357177)Peak memory usage: 127 MB
% 23.71/5.66 % (2357177)Instructions burned: 141 (million)
% 23.71/5.66 % (2357180)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3464804216:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2956 on theBenchmark for (2956ds/431Mi)
% 23.71/5.66 % (2357181)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=4162264142:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 23.71/5.66 % (2357180)First to succeed.
% 23.71/5.66 % (2357180)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2356973"
% 23.71/5.66 % (2357180)Refutation found. Thanks to Tanya!
% 23.71/5.66 % SZS status Theorem for theBenchmark
% 23.71/5.66 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/5.90 % (2357180)------------------------------
% 0.20/5.90 % (2357180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/5.90 % (2357180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/5.90 % (2357180)CaDiCaL version: 2.1.3
% 0.20/5.90 % (2357180)Termination reason: Refutation
% 0.20/5.90 % (2357180)Time elapsed: 0.166 s
% 0.20/5.90 % (2357180)Peak memory usage: 134 MB
% 0.20/5.90 % (2357180)Instructions burned: 204 (million)
% 0.20/5.90 % (2357180)------------------------------
% 0.20/5.90 % (2357180)------------------------------
% 0.20/5.90 % (2356973)Success in time 4.986 s
% 0.20/5.90 % Vampire exiting
%------------------------------------------------------------------------------