%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU221+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:47:49 PM UTC 2026
% Result : Theorem 2.19s 1.16s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 101 ( 13 unt; 5 def)
% Number of atoms : 359 ( 48 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 459 ( 201 ~; 200 |; 39 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 41 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f51,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f203,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f205,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_rng(X1)) )
=> ( X0 = apply(X1,apply(function_inverse(X1),X0))
& X0 = apply(relation_composition(function_inverse(X1),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f209,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1) ).
fof(f210,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f209]) ).
fof(f273,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f274,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f273]) ).
fof(f281,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f282,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f281]) ).
fof(f413,plain,
! [X0] :
( ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f203]) ).
fof(f414,plain,
! [X0] :
( ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f413]) ).
fof(f417,plain,
! [X0,X1] :
( ( X0 = apply(X1,apply(function_inverse(X1),X0))
& X0 = apply(relation_composition(function_inverse(X1),X1),X0) )
| ~ one_to_one(X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f205]) ).
fof(f418,plain,
! [X0,X1] :
( ( X0 = apply(X1,apply(function_inverse(X1),X0))
& X0 = apply(relation_composition(function_inverse(X1),X1),X0) )
| ~ one_to_one(X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f417]) ).
fof(f421,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f210]) ).
fof(f422,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(flattening,[],[f421]) ).
fof(f527,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f274]) ).
fof(f528,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f527]) ).
fof(f529,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK47(X0) != sK48(X0)
& in(sK47(X0),relation_dom(X0))
& in(sK48(X0),relation_dom(X0))
& apply(X0,sK47(X0)) = apply(X0,sK48(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48]),skolemize(X1,sK47(X0)),skolemize(X2,sK48(X0))],[f528]) ).
fof(f592,plain,
( ~ one_to_one(function_inverse(sK77))
& one_to_one(sK77)
& relation(sK77)
& function(sK77) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(X0,sK77)],[f422]) ).
fof(f742,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK47(X0)) = apply(X0,sK48(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f529]) ).
fof(f743,plain,
! [X0] :
( in(sK48(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f529]) ).
fof(f744,plain,
! [X0] :
( in(sK47(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f529]) ).
fof(f745,plain,
! [X0] :
( sK47(X0) != sK48(X0)
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f529]) ).
fof(f759,plain,
! [X0] :
( function(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f760,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f974,plain,
! [X0] :
( relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f414]) ).
fof(f977,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| apply(X1,apply(function_inverse(X1),X0)) = X0
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f418]) ).
fof(f982,plain,
function(sK77),
inference(cnf_transformation,[],[f592]) ).
fof(f983,plain,
relation(sK77),
inference(cnf_transformation,[],[f592]) ).
fof(f984,plain,
one_to_one(sK77),
inference(cnf_transformation,[],[f592]) ).
fof(f985,plain,
~ one_to_one(function_inverse(sK77)),
inference(cnf_transformation,[],[f592]) ).
fof(f1121,definition,
( spl80_2
<=> relation(function_inverse(sK77)) ),
introduced(definition,[new_symbols(definition,[spl80_2])],[avatar_definition]) ).
fof(f1122,plain,
( relation(function_inverse(sK77))
| ~ spl80_2 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1123,plain,
( ~ relation(function_inverse(sK77))
| spl80_2 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1176,plain,
( apply(function_inverse(sK77),sK47(function_inverse(sK77))) = apply(function_inverse(sK77),sK48(function_inverse(sK77)))
| ~ relation(function_inverse(sK77))
| ~ function(function_inverse(sK77)) ),
inference(resolution,[],[f742,f985]) ).
fof(f1178,definition,
( spl80_5
<=> function(function_inverse(sK77)) ),
introduced(definition,[new_symbols(definition,[spl80_5])],[avatar_definition]) ).
fof(f1179,plain,
( function(function_inverse(sK77))
| ~ spl80_5 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1180,plain,
( ~ function(function_inverse(sK77))
| spl80_5 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1182,definition,
( spl80_6
<=> apply(function_inverse(sK77),sK47(function_inverse(sK77))) = apply(function_inverse(sK77),sK48(function_inverse(sK77))) ),
introduced(definition,[new_symbols(definition,[spl80_6])],[avatar_definition]) ).
fof(f1184,plain,
( apply(function_inverse(sK77),sK47(function_inverse(sK77))) = apply(function_inverse(sK77),sK48(function_inverse(sK77)))
| ~ spl80_6 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1185,plain,
( ~ spl80_5
| ~ spl80_2
| spl80_6 ),
inference(avatar_split_clause,[],[f1176,f1182,f1121,f1178]) ).
fof(f1186,plain,
( ~ relation(sK77)
| ~ function(sK77)
| spl80_2 ),
inference(resolution,[],[f1123,f760]) ).
fof(f1187,plain,
( ~ function(sK77)
| spl80_2 ),
inference(forward_subsumption_resolution,[],[f1186,f983]) ).
fof(f1188,plain,
( $false
| spl80_2 ),
inference(forward_subsumption_resolution,[],[f1187,f982]) ).
fof(f1189,plain,
spl80_2,
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1202,plain,
( ~ relation(sK77)
| ~ function(sK77)
| spl80_5 ),
inference(resolution,[],[f1180,f759]) ).
fof(f1204,plain,
( ~ function(sK77)
| spl80_5 ),
inference(forward_subsumption_resolution,[],[f1202,f983]) ).
fof(f1205,plain,
( $false
| spl80_5 ),
inference(forward_subsumption_resolution,[],[f1204,f982]) ).
fof(f1206,plain,
spl80_5,
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1232,definition,
( spl80_8
<=> in(sK48(function_inverse(sK77)),relation_dom(function_inverse(sK77))) ),
introduced(definition,[new_symbols(definition,[spl80_8])],[avatar_definition]) ).
fof(f1233,plain,
( ~ in(sK48(function_inverse(sK77)),relation_dom(function_inverse(sK77)))
| spl80_8 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1234,plain,
( in(sK48(function_inverse(sK77)),relation_dom(function_inverse(sK77)))
| ~ spl80_8 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1251,plain,
( one_to_one(function_inverse(sK77))
| ~ relation(function_inverse(sK77))
| ~ function(function_inverse(sK77))
| spl80_8 ),
inference(resolution,[],[f1233,f743]) ).
fof(f1254,plain,
( ~ relation(function_inverse(sK77))
| ~ function(function_inverse(sK77))
| spl80_8 ),
inference(forward_subsumption_resolution,[],[f1251,f985]) ).
fof(f1256,plain,
( ~ function(function_inverse(sK77))
| ~ spl80_2
| spl80_8 ),
inference(forward_subsumption_resolution,[],[f1254,f1122]) ).
fof(f1258,plain,
( $false
| ~ spl80_2
| ~ spl80_5
| spl80_8 ),
inference(forward_subsumption_resolution,[],[f1256,f1179]) ).
fof(f1259,plain,
( ~ spl80_2
| ~ spl80_5
| spl80_8 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1261,plain,
( in(sK48(function_inverse(sK77)),relation_rng(sK77))
| ~ one_to_one(sK77)
| ~ relation(sK77)
| ~ function(sK77)
| ~ spl80_8 ),
inference(superposition,[],[f1234,f974]) ).
fof(f1262,plain,
( in(sK48(function_inverse(sK77)),relation_rng(sK77))
| ~ relation(sK77)
| ~ function(sK77)
| ~ spl80_8 ),
inference(forward_subsumption_resolution,[],[f1261,f984]) ).
fof(f1263,plain,
( in(sK48(function_inverse(sK77)),relation_rng(sK77))
| ~ function(sK77)
| ~ spl80_8 ),
inference(forward_subsumption_resolution,[],[f1262,f983]) ).
fof(f1264,plain,
( in(sK48(function_inverse(sK77)),relation_rng(sK77))
| ~ spl80_8 ),
inference(forward_subsumption_resolution,[],[f1263,f982]) ).
fof(f1267,plain,
( ~ one_to_one(sK77)
| sK48(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK48(function_inverse(sK77))))
| ~ relation(sK77)
| ~ function(sK77)
| ~ spl80_8 ),
inference(resolution,[],[f1264,f977]) ).
fof(f1271,plain,
( sK48(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK48(function_inverse(sK77))))
| ~ relation(sK77)
| ~ function(sK77)
| ~ spl80_8 ),
inference(forward_subsumption_resolution,[],[f1267,f984]) ).
fof(f1273,plain,
( sK48(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK48(function_inverse(sK77))))
| ~ function(sK77)
| ~ spl80_8 ),
inference(forward_subsumption_resolution,[],[f1271,f983]) ).
fof(f1275,plain,
( sK48(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK48(function_inverse(sK77))))
| ~ spl80_8 ),
inference(forward_subsumption_resolution,[],[f1273,f982]) ).
fof(f1276,plain,
( sK48(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK47(function_inverse(sK77))))
| ~ spl80_6
| ~ spl80_8 ),
inference(forward_demodulation,[],[f1275,f1184]) ).
fof(f1281,definition,
( spl80_11
<=> in(sK47(function_inverse(sK77)),relation_dom(function_inverse(sK77))) ),
introduced(definition,[new_symbols(definition,[spl80_11])],[avatar_definition]) ).
fof(f1282,plain,
( in(sK47(function_inverse(sK77)),relation_dom(function_inverse(sK77)))
| ~ spl80_11 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1283,plain,
( ~ in(sK47(function_inverse(sK77)),relation_dom(function_inverse(sK77)))
| spl80_11 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1289,plain,
( one_to_one(function_inverse(sK77))
| ~ relation(function_inverse(sK77))
| ~ function(function_inverse(sK77))
| spl80_11 ),
inference(resolution,[],[f1283,f744]) ).
fof(f1292,plain,
( ~ relation(function_inverse(sK77))
| ~ function(function_inverse(sK77))
| spl80_11 ),
inference(forward_subsumption_resolution,[],[f1289,f985]) ).
fof(f1294,plain,
( ~ function(function_inverse(sK77))
| ~ spl80_2
| spl80_11 ),
inference(forward_subsumption_resolution,[],[f1292,f1122]) ).
fof(f1296,plain,
( $false
| ~ spl80_2
| ~ spl80_5
| spl80_11 ),
inference(forward_subsumption_resolution,[],[f1294,f1179]) ).
fof(f1297,plain,
( ~ spl80_2
| ~ spl80_5
| spl80_11 ),
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1309,plain,
( in(sK47(function_inverse(sK77)),relation_rng(sK77))
| ~ one_to_one(sK77)
| ~ relation(sK77)
| ~ function(sK77)
| ~ spl80_11 ),
inference(superposition,[],[f1282,f974]) ).
fof(f1310,plain,
( in(sK47(function_inverse(sK77)),relation_rng(sK77))
| ~ relation(sK77)
| ~ function(sK77)
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f1309,f984]) ).
fof(f1311,plain,
( in(sK47(function_inverse(sK77)),relation_rng(sK77))
| ~ function(sK77)
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f1310,f983]) ).
fof(f1312,plain,
( in(sK47(function_inverse(sK77)),relation_rng(sK77))
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f1311,f982]) ).
fof(f1325,plain,
( ~ one_to_one(sK77)
| sK47(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK47(function_inverse(sK77))))
| ~ relation(sK77)
| ~ function(sK77)
| ~ spl80_11 ),
inference(resolution,[],[f1312,f977]) ).
fof(f1329,plain,
( sK47(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK47(function_inverse(sK77))))
| ~ relation(sK77)
| ~ function(sK77)
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f1325,f984]) ).
fof(f1331,plain,
( sK47(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK47(function_inverse(sK77))))
| ~ function(sK77)
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f1329,f983]) ).
fof(f1333,plain,
( sK47(function_inverse(sK77)) = apply(sK77,apply(function_inverse(sK77),sK47(function_inverse(sK77))))
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f1331,f982]) ).
fof(f2318,plain,
( sK47(function_inverse(sK77)) = sK48(function_inverse(sK77))
| ~ spl80_6
| ~ spl80_8
| ~ spl80_11 ),
inference(superposition,[],[f1333,f1276]) ).
fof(f2346,plain,
( sK47(function_inverse(sK77)) != sK47(function_inverse(sK77))
| one_to_one(function_inverse(sK77))
| ~ relation(function_inverse(sK77))
| ~ function(function_inverse(sK77))
| ~ spl80_6
| ~ spl80_8
| ~ spl80_11 ),
inference(superposition,[],[f745,f2318]) ).
fof(f2348,plain,
( one_to_one(function_inverse(sK77))
| ~ relation(function_inverse(sK77))
| ~ function(function_inverse(sK77))
| ~ spl80_6
| ~ spl80_8
| ~ spl80_11 ),
inference(trivial_inequality_removal,[],[f2346]) ).
fof(f2349,plain,
( ~ relation(function_inverse(sK77))
| ~ function(function_inverse(sK77))
| ~ spl80_6
| ~ spl80_8
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f2348,f985]) ).
fof(f2350,plain,
( ~ function(function_inverse(sK77))
| ~ spl80_2
| ~ spl80_6
| ~ spl80_8
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f2349,f1122]) ).
fof(f2351,plain,
( $false
| ~ spl80_2
| ~ spl80_5
| ~ spl80_6
| ~ spl80_8
| ~ spl80_11 ),
inference(forward_subsumption_resolution,[],[f2350,f1179]) ).
fof(f2352,plain,
( ~ spl80_2
| ~ spl80_5
| ~ spl80_6
| ~ spl80_8
| ~ spl80_11 ),
inference(avatar_contradiction_clause,[],[f2351]) ).
cnf(s5,plain,
( ~ spl80_2
| ~ spl80_5
| spl80_6 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s6,plain,
spl80_2,
inference(sat_conversion,[],[f1189]) ).
cnf(s8,plain,
spl80_5,
inference(sat_conversion,[],[f1206]) ).
cnf(s12,plain,
( ~ spl80_2
| ~ spl80_5
| spl80_8 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s14,plain,
( ~ spl80_2
| ~ spl80_5
| spl80_11 ),
inference(sat_conversion,[],[f1297]) ).
cnf(s49,plain,
( ~ spl80_2
| ~ spl80_5
| ~ spl80_6
| ~ spl80_8
| ~ spl80_11 ),
inference(sat_conversion,[],[f2352]) ).
cnf(s53,plain,
spl80_11,
inference(rat,[],[s14,s8,s6]) ).
cnf(s54,plain,
spl80_8,
inference(rat,[],[s12,s8,s6]) ).
cnf(s55,plain,
~ spl80_6,
inference(rat,[],[s49,s53,s6,s8,s54]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s5,s55,s8,s6]) ).
fof(f2353,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU221+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 04:12:02 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 2.19/1.16 % (2248065)Detected formulas, will run a generic FOF schedule.
% 2.19/1.16 % (2248075)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1366385788:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.19/1.16 % (2248075)First to succeed.
% 2.19/1.16 % (2248075)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2248065"
% 2.19/1.16 % (2248074)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1250598290:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.19/1.16 % (2248070)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=3406964005:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.19/1.16 % (2248076)dis-21_1_sil=8000:lcm=predicate:random_seed=2791514305:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.19/1.16 % (2248071)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=378712738:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.19/1.16 % (2248072)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=3167803976:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.19/1.16 % (2248073)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=176003698:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.19/1.16 % (2248076)Instruction limit reached!
% 2.19/1.16 % (2248076)------------------------------
% 2.19/1.16 % (2248076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/1.16 % (2248073)Instruction limit reached!
% 2.19/1.16 % (2248073)------------------------------
% 2.19/1.16 % (2248073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/1.16 % (2248073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/1.16 % (2248076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/1.16 % (2248073)CaDiCaL version: 2.1.3
% 2.19/1.16 % (2248076)CaDiCaL version: 2.1.3
% 2.19/1.16 % (2248073)Termination reason: Instruction limit
% 2.19/1.16 % (2248073)Termination phase: Saturation
% 2.19/1.16 % (2248073)Time elapsed: 0.071 s
% 2.19/1.16 % (2248076)Termination reason: Instruction limit
% 2.19/1.16 % (2248076)Termination phase: Saturation
% 2.19/1.16 % (2248073)Peak memory usage: 90 MB
% 2.19/1.16 % (2248076)Time elapsed: 0.071 s
% 2.19/1.16 % (2248073)Instructions burned: 110 (million)
% 2.19/1.16 % (2248076)Peak memory usage: 90 MB
% 2.19/1.16 % (2248076)Instructions burned: 132 (million)
% 2.19/1.16 % (2248074)Instruction limit reached!
% 2.19/1.16 % (2248074)------------------------------
% 2.19/1.16 % (2248074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/1.16 % (2248074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/1.16 % (2248074)CaDiCaL version: 2.1.3
% 2.19/1.16 % (2248074)Termination reason: Instruction limit
% 2.19/1.16 % (2248074)Termination phase: Saturation
% 2.19/1.16 % (2248074)Time elapsed: 0.081 s
% 2.19/1.16 % (2248074)Peak memory usage: 89 MB
% 2.19/1.16 % (2248074)Instructions burned: 119 (million)
% 2.19/1.16 % (2248075)Refutation found. Thanks to Tanya!
% 2.19/1.16 % SZS status Theorem for theBenchmark
% 2.19/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.34 % (2248075)------------------------------
% 2.63/1.34 % (2248075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.34 % (2248075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.34 % (2248075)CaDiCaL version: 2.1.3
% 2.63/1.34 % (2248075)Termination reason: Refutation
% 2.63/1.34 % (2248075)Time elapsed: 0.024 s
% 2.63/1.34 % (2248075)Peak memory usage: 91 MB
% 2.63/1.34 % (2248075)Instructions burned: 61 (million)
% 2.63/1.34 % (2248075)------------------------------
% 2.63/1.34 % (2248075)------------------------------
% 2.63/1.34 % (2248065)Success in time 0.292 s
% 2.63/1.34 % Vampire exiting
%------------------------------------------------------------------------------