%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU197+1 : 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 : n020.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 12:47:41 PM UTC 2026
% Result : Theorem 2.58s 16.29s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 84 ( 8 unt; 4 def)
% Number of atoms : 335 ( 23 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 427 ( 176 ~; 186 |; 44 &)
% ( 14 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 139 ( 0 sgn 116 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_rng_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f12,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f35,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = relation_rng_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<~> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1) )
& ( ( in(X6,X0)
& in(ordered_pair(X5,X6),X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(rectify,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ( ( ~ in(sK1(X0,X1,X2),X0)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) )
& ( ( in(sK1(X0,X1,X2),X0)
& in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X1) )
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1) )
& ( ( in(X6,X0)
& in(ordered_pair(X5,X6),X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2))],[f50]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK2(X0,X1)),X0)
| ~ in(sK2(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0)
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK4(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f53]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_rng(X2))
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) ),
inference(nnf_transformation,[],[f41]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_rng(X2))
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
( ( ~ in(sK10,sK11)
| ~ in(sK10,relation_rng(sK12))
| ~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) )
& ( ( in(sK10,sK11)
& in(sK10,relation_rng(sK12)) )
| in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) )
& relation(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12)],[f61]) ).
fof(f66,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f67,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f68,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f72,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK4(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f73,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f77,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f94,plain,
relation(sK12),
inference(cnf_transformation,[],[f62]) ).
fof(f95,plain,
( in(sK10,relation_rng(sK12))
| in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) ),
inference(cnf_transformation,[],[f62]) ).
fof(f96,plain,
( in(sK10,sK11)
| in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) ),
inference(cnf_transformation,[],[f62]) ).
fof(f97,plain,
( ~ in(sK10,sK11)
| ~ in(sK10,relation_rng(sK12))
| ~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) ),
inference(cnf_transformation,[],[f62]) ).
fof(f103,plain,
! [X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f68]) ).
fof(f104,plain,
! [X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f67]) ).
fof(f105,plain,
! [X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f66]) ).
fof(f106,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f73]) ).
fof(f107,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| in(ordered_pair(sK4(X0,X5),X5),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f72]) ).
fof(f109,definition,
( spl13_1
<=> in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f110,plain,
( ~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12)))
| spl13_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f111,plain,
( in(sK10,relation_rng(relation_rng_restriction(sK11,sK12)))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f113,definition,
( spl13_2
<=> in(sK10,relation_rng(sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f115,plain,
( in(sK10,relation_rng(sK12))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f95,f113,f109]) ).
fof(f118,definition,
( spl13_3
<=> in(sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f120,plain,
( in(sK10,sK11)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( spl13_1
| spl13_3 ),
inference(avatar_split_clause,[],[f96,f118,f109]) ).
fof(f122,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f97,f118,f113,f109]) ).
fof(f132,plain,
( in(ordered_pair(sK4(sK12,sK10),sK10),sK12)
| ~ relation(sK12)
| ~ spl13_2 ),
inference(resolution,[],[f107,f115]) ).
fof(f133,plain,
( in(ordered_pair(sK4(sK12,sK10),sK10),sK12)
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f132,f94]) ).
fof(f137,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| in(X6,X0)
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f104,f77]) ).
fof(f138,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| in(ordered_pair(X5,X6),X1)
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f105,f77]) ).
fof(f151,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0)
| in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f103,f77]) ).
fof(f155,plain,
( ! [X0] :
( ~ in(sK10,X0)
| in(ordered_pair(sK4(sK12,sK10),sK10),relation_rng_restriction(X0,sK12))
| ~ relation(sK12) )
| ~ spl13_2 ),
inference(resolution,[],[f151,f133]) ).
fof(f156,plain,
( ! [X0] :
( ~ in(sK10,X0)
| in(ordered_pair(sK4(sK12,sK10),sK10),relation_rng_restriction(X0,sK12)) )
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f155,f94]) ).
fof(f157,plain,
( in(ordered_pair(sK4(sK12,sK10),sK10),relation_rng_restriction(sK11,sK12))
| ~ spl13_2
| ~ spl13_3 ),
inference(resolution,[],[f156,f120]) ).
fof(f165,plain,
( in(sK10,relation_rng(relation_rng_restriction(sK11,sK12)))
| ~ relation(relation_rng_restriction(sK11,sK12))
| ~ spl13_2
| ~ spl13_3 ),
inference(resolution,[],[f157,f106]) ).
fof(f168,plain,
( ~ relation(relation_rng_restriction(sK11,sK12))
| spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f165,f110]) ).
fof(f170,definition,
( spl13_4
<=> relation(relation_rng_restriction(sK11,sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f171,plain,
( relation(relation_rng_restriction(sK11,sK12))
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f172,plain,
( ~ relation(relation_rng_restriction(sK11,sK12))
| spl13_4 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f177,plain,
( ~ spl13_4
| spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f168,f118,f113,f109,f170]) ).
fof(f193,plain,
( ~ relation(sK12)
| spl13_4 ),
inference(resolution,[],[f172,f77]) ).
fof(f195,plain,
( $false
| spl13_4 ),
inference(forward_subsumption_resolution,[],[f193,f94]) ).
fof(f196,plain,
spl13_4,
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f198,plain,
( in(ordered_pair(sK4(relation_rng_restriction(sK11,sK12),sK10),sK10),relation_rng_restriction(sK11,sK12))
| ~ relation(relation_rng_restriction(sK11,sK12))
| ~ spl13_1 ),
inference(resolution,[],[f111,f107]) ).
fof(f201,plain,
( in(ordered_pair(sK4(relation_rng_restriction(sK11,sK12),sK10),sK10),relation_rng_restriction(sK11,sK12))
| ~ spl13_1
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f198,f171]) ).
fof(f203,plain,
( in(ordered_pair(sK4(relation_rng_restriction(sK11,sK12),sK10),sK10),sK12)
| ~ relation(sK12)
| ~ spl13_1
| ~ spl13_4 ),
inference(resolution,[],[f201,f138]) ).
fof(f204,plain,
( in(sK10,sK11)
| ~ relation(sK12)
| ~ spl13_1
| ~ spl13_4 ),
inference(resolution,[],[f201,f137]) ).
fof(f210,plain,
( in(ordered_pair(sK4(relation_rng_restriction(sK11,sK12),sK10),sK10),sK12)
| ~ spl13_1
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f203,f94]) ).
fof(f212,plain,
( in(sK10,relation_rng(sK12))
| ~ relation(sK12)
| ~ spl13_1
| ~ spl13_4 ),
inference(resolution,[],[f210,f106]) ).
fof(f219,plain,
( in(sK10,sK11)
| ~ spl13_1
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f204,f94]) ).
fof(f220,plain,
( in(sK10,relation_rng(sK12))
| ~ spl13_1
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f212,f94]) ).
fof(f221,plain,
( spl13_3
| ~ spl13_1
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f219,f170,f109,f118]) ).
fof(f222,plain,
( spl13_2
| ~ spl13_1
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f220,f170,f109,f113]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f116]) ).
cnf(s2,plain,
( spl13_1
| spl13_3 ),
inference(sat_conversion,[],[f121]) ).
cnf(s3,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(sat_conversion,[],[f122]) ).
cnf(s5,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(sat_conversion,[],[f177]) ).
cnf(s6,plain,
spl13_4,
inference(sat_conversion,[],[f196]) ).
cnf(s8,plain,
( ~ spl13_1
| spl13_3
| ~ spl13_4 ),
inference(sat_conversion,[],[f221]) ).
cnf(s9,plain,
( ~ spl13_1
| spl13_2
| ~ spl13_4 ),
inference(sat_conversion,[],[f222]) ).
cnf(s10,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(rat,[],[s5,s6]) ).
cnf(s12,plain,
spl13_1,
inference(rat,[],[s10,s1,s2]) ).
cnf(s13,plain,
spl13_2,
inference(rat,[],[s9,s6,s12]) ).
cnf(s14,plain,
spl13_3,
inference(rat,[],[s8,s6,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s3,s13,s14,s12]) ).
fof(f223,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU197+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/15.41 % Computer : n020.cluster.edu
% 0.13/15.41 % Model : x86_64 x86_64
% 0.13/15.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/15.41 % Memory : 8046.5625MB
% 0.13/15.41 % OS : Linux 6.8.0-71-generic
% 0.13/15.41 % CPULimit : 300
% 0.13/15.41 % WCLimit : 300
% 0.13/15.41 % DateTime : Mon Sep 28 04:01:21 UTC 2026
% 0.13/15.41 % CPUTime :
% 0.13/15.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/15.45 Running first-order theorem proving
% 0.13/15.45 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
% 2.58/16.29 % (4010935)Detected formulas, will run a generic FOF schedule.
% 2.58/16.29 % (4010945)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3601180712:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.58/16.29 % (4010945)First to succeed.
% 2.58/16.29 % (4010945)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4010935"
% 2.58/16.29 % (4010940)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=601471835:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.58/16.29 % (4010943)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2852163914:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.58/16.29 % (4010941)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=156488947:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.58/16.29 % (4010942)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=280797041:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.58/16.29 % (4010943)Refutation not found, incomplete strategy
% 2.58/16.29 % (4010943)------------------------------
% 2.58/16.29 % (4010943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/16.29 % (4010943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/16.29 % (4010943)CaDiCaL version: 2.1.3
% 2.58/16.29 % (4010943)Termination reason: Refutation not found, incomplete strategy
% 2.58/16.29 % (4010943)Time elapsed: 0.003 s
% 2.58/16.29 % (4010943)Peak memory usage: 88 MB
% 2.58/16.29 % (4010943)Instructions burned: 2 (million)
% 2.58/16.29 % (4010944)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1942297866:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.58/16.29 % (4010946)dis-21_1_sil=8000:lcm=predicate:random_seed=2181731440: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)
% 2.58/16.29 % (4010944)Also succeeded, but the first one will report.
% 2.58/16.29 % (4010946)Also succeeded, but the first one will report.
% 2.58/16.29 % (4010945)Refutation found. Thanks to Tanya!
% 2.58/16.29 % SZS status Theorem for theBenchmark
% 2.58/16.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.38/16.48 % (4010945)------------------------------
% 3.38/16.48 % (4010945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/16.48 % (4010945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/16.48 % (4010945)CaDiCaL version: 2.1.3
% 3.38/16.48 % (4010945)Termination reason: Refutation
% 3.38/16.48 % (4010945)Time elapsed: 0.005 s
% 3.38/16.48 % (4010945)Peak memory usage: 90 MB
% 3.38/16.48 % (4010945)Instructions burned: 9 (million)
% 3.38/16.48 % (4010945)------------------------------
% 3.38/16.48 % (4010945)------------------------------
% 3.38/16.48 % (4010935)Success in time 0.4 s
% 3.38/16.48 % Vampire exiting
%------------------------------------------------------------------------------