%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU249+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:48:00 PM UTC 2026
% Result : Theorem 16.51s 3.62s
% Output : Refutation 20.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 115 ( 25 unt; 5 def)
% Number of atoms : 386 ( 46 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 446 ( 175 ~; 185 |; 60 &)
% ( 15 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 6 con; 0-3 aty)
% Number of variables : 227 ( 0 sgn 202 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f46,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f53,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f55,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f58,axiom,
! [X0] :
( relation(X0)
=> relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_1) ).
fof(f84,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f180,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f203,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
fof(f209,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,relation_field(X2))
& in(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f210,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,relation_field(X2))
& in(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f209]) ).
fof(f231,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
fof(f284,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f368,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f385,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f486,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f203]) ).
fof(f493,plain,
? [X0,X1,X2] :
( ( ~ in(X0,relation_field(X2))
| ~ in(X0,X1) )
& in(X0,relation_field(relation_restriction(X2,X1)))
& relation(X2) ),
inference(ennf_transformation,[],[f210]) ).
fof(f494,plain,
? [X0,X1,X2] :
( ( ~ in(X0,relation_field(X2))
| ~ in(X0,X1) )
& in(X0,relation_field(relation_restriction(X2,X1)))
& relation(X2) ),
inference(flattening,[],[f493]) ).
fof(f522,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f231]) ).
fof(f523,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f522]) ).
fof(f675,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f676,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f675]) ).
fof(f677,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f676]) ).
fof(f678,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ( ( ( ~ in(sK34(X0,X1,X2),X0)
& ~ in(sK34(X0,X1,X2),X1) )
| ~ in(sK34(X0,X1,X2),X2) )
& ( in(sK34(X0,X1,X2),X0)
| in(sK34(X0,X1,X2),X1)
| in(sK34(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X3,sK34(X0,X1,X2))],[f677]) ).
fof(f701,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f359]) ).
fof(f702,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f701]) ).
fof(f703,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK48(X0,X1),X3),X0)
| ~ in(sK48(X0,X1),X1) )
& ( in(ordered_pair(sK48(X0,X1),sK49(X0,X1)),X0)
| in(sK48(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK50(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48,sK49,sK50]),skolemize(X2,sK48(X0,X1)),skolemize(X4,sK49(X0,X1)),skolemize(X7,sK50(X0,X5))],[f702]) ).
fof(f719,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,[],[f365]) ).
fof(f720,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,[],[f719]) ).
fof(f721,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK60(X0,X1)),X0)
| ~ in(sK60(X0,X1),X1) )
& ( in(ordered_pair(sK61(X0,X1),sK60(X0,X1)),X0)
| in(sK60(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK62(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60,sK61,sK62]),skolemize(X2,sK60(X0,X1)),skolemize(X4,sK61(X0,X1)),skolemize(X7,sK62(X0,X5))],[f720]) ).
fof(f783,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f180]) ).
fof(f784,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f783]) ).
fof(f794,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f486]) ).
fof(f795,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(flattening,[],[f794]) ).
fof(f796,plain,
( ( ~ in(sK104,relation_field(sK106))
| ~ in(sK104,sK105) )
& in(sK104,relation_field(relation_restriction(sK106,sK105)))
& relation(sK106) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104,sK105,sK106]),skolemize(X0,sK104),skolemize(X1,sK105),skolemize(X2,sK106)],[f494]) ).
fof(f972,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f678]) ).
fof(f1016,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK50(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f703]) ).
fof(f1051,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK62(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f721]) ).
fof(f1056,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f55]) ).
fof(f1065,plain,
! [X0] :
( ~ relation(X0)
| relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1109,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f385]) ).
fof(f1268,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f784]) ).
fof(f1269,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f784]) ).
fof(f1304,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,cartesian_product2(X1,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f795]) ).
fof(f1305,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f795]) ).
fof(f1312,plain,
relation(sK106),
inference(cnf_transformation,[],[f796]) ).
fof(f1313,plain,
in(sK104,relation_field(relation_restriction(sK106,sK105))),
inference(cnf_transformation,[],[f796]) ).
fof(f1314,plain,
( ~ in(sK104,relation_field(sK106))
| ~ in(sK104,sK105) ),
inference(cnf_transformation,[],[f796]) ).
fof(f1340,plain,
! [X2,X0,X1] :
( in(X1,relation_field(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1341,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1440,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f284]) ).
fof(f1478,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f1056,f1440]) ).
fof(f1537,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK50(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f1016,f1478]) ).
fof(f1544,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK62(X0,X5),X5),unordered_pair(sK62(X0,X5),sK62(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f1051,f1478]) ).
fof(f1600,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(definition_unfolding,[],[f1269,f1478]) ).
fof(f1601,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(definition_unfolding,[],[f1268,f1478]) ).
fof(f1617,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_field(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f1341,f1478]) ).
fof(f1618,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X1,relation_field(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f1340,f1478]) ).
fof(f1706,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f972]) ).
fof(f1719,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK50(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f1537]) ).
fof(f1731,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK62(X0,X5),X5),unordered_pair(sK62(X0,X5),sK62(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f1544]) ).
fof(f1760,definition,
sF123 = relation_field(sK106),
introduced(definition,[new_symbols(definition,[sF123])],[function_definition]) ).
fof(f1761,plain,
relation_field(sK106) = sF123,
inference(reorient_equations,[],[f1760]) ).
fof(f1762,plain,
( ~ in(sK104,sF123)
| ~ in(sK104,sK105) ),
inference(definition_folding,[],[f1314,f1761]) ).
fof(f1763,definition,
sF124 = relation_restriction(sK106,sK105),
introduced(definition,[new_symbols(definition,[sF124])],[function_definition]) ).
fof(f1764,plain,
relation_restriction(sK106,sK105) = sF124,
inference(reorient_equations,[],[f1763]) ).
fof(f1765,definition,
sF125 = relation_field(sF124),
introduced(definition,[new_symbols(definition,[sF125])],[function_definition]) ).
fof(f1766,plain,
relation_field(sF124) = sF125,
inference(reorient_equations,[],[f1765]) ).
fof(f1767,plain,
in(sK104,sF125),
inference(definition_folding,[],[f1313,f1766,f1764]) ).
fof(f1772,definition,
( spl126_1
<=> in(sK104,sK105) ),
introduced(definition,[new_symbols(definition,[spl126_1])],[avatar_definition]) ).
fof(f1774,plain,
( ~ in(sK104,sK105)
| spl126_1 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f1776,definition,
( spl126_2
<=> in(sK104,sF123) ),
introduced(definition,[new_symbols(definition,[spl126_2])],[avatar_definition]) ).
fof(f1778,plain,
( ~ in(sK104,sF123)
| spl126_2 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1779,plain,
( ~ spl126_1
| ~ spl126_2 ),
inference(avatar_split_clause,[],[f1762,f1776,f1772]) ).
fof(f1806,plain,
! [X0] :
( ~ in(X0,sF124)
| in(X0,sK106)
| ~ relation(sK106) ),
inference(superposition,[],[f1305,f1764]) ).
fof(f1807,plain,
! [X0] :
( ~ in(X0,sF124)
| in(X0,sK106) ),
inference(forward_subsumption_resolution,[],[f1806,f1312]) ).
fof(f1808,plain,
! [X0] :
( ~ in(X0,sF124)
| in(X0,cartesian_product2(sK105,sK105))
| ~ relation(sK106) ),
inference(superposition,[],[f1304,f1764]) ).
fof(f1809,plain,
! [X0] :
( in(X0,cartesian_product2(sK105,sK105))
| ~ in(X0,sF124) ),
inference(forward_subsumption_resolution,[],[f1808,f1312]) ).
fof(f1810,plain,
( relation(sF124)
| ~ relation(sK106) ),
inference(superposition,[],[f1109,f1764]) ).
fof(f1811,plain,
relation(sF124),
inference(forward_subsumption_resolution,[],[f1810,f1312]) ).
fof(f2469,plain,
relation_field(sF124) = set_union2(relation_dom(sF124),relation_rng(sF124)),
inference(resolution,[],[f1065,f1811]) ).
fof(f2470,plain,
sF125 = set_union2(relation_dom(sF124),relation_rng(sF124)),
inference(forward_demodulation,[],[f2469,f1766]) ).
fof(f3202,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF124)
| in(X0,sK105) ),
inference(resolution,[],[f1600,f1809]) ).
fof(f3783,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sF124)
| in(X0,sK105) ),
inference(resolution,[],[f1601,f1809]) ).
fof(f4323,plain,
! [X0] :
( in(X0,relation_rng(sF124))
| ~ in(X0,sF125)
| in(X0,relation_dom(sF124)) ),
inference(superposition,[],[f1706,f2470]) ).
fof(f4885,plain,
! [X0] :
( ~ in(X0,relation_dom(sF124))
| ~ relation(sF124)
| in(X0,sK105) ),
inference(resolution,[],[f1719,f3202]) ).
fof(f4902,plain,
! [X0] :
( ~ in(X0,relation_dom(sF124))
| ~ relation(sF124)
| in(unordered_pair(unordered_pair(X0,sK50(sF124,X0)),unordered_pair(X0,X0)),sK106) ),
inference(resolution,[],[f1719,f1807]) ).
fof(f4910,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK50(sF124,X0)),unordered_pair(X0,X0)),sK106)
| ~ in(X0,relation_dom(sF124)) ),
inference(forward_subsumption_resolution,[],[f4902,f1811]) ).
fof(f4915,plain,
! [X0] :
( ~ in(X0,relation_dom(sF124))
| in(X0,sK105) ),
inference(forward_subsumption_resolution,[],[f4885,f1811]) ).
fof(f4935,plain,
! [X0] :
( ~ in(X0,relation_dom(sF124))
| in(X0,relation_field(sK106))
| ~ relation(sK106) ),
inference(resolution,[],[f4910,f1617]) ).
fof(f4938,plain,
! [X0] :
( ~ in(X0,relation_dom(sF124))
| in(X0,relation_field(sK106)) ),
inference(forward_subsumption_resolution,[],[f4935,f1312]) ).
fof(f4944,plain,
! [X0] :
( ~ in(X0,relation_dom(sF124))
| in(X0,sF123) ),
inference(forward_demodulation,[],[f4938,f1761]) ).
fof(f14226,plain,
! [X0] :
( ~ in(X0,relation_rng(sF124))
| ~ relation(sF124)
| in(X0,sK105) ),
inference(resolution,[],[f1731,f3783]) ).
fof(f14277,plain,
! [X0] :
( ~ in(X0,relation_rng(sF124))
| ~ relation(sF124)
| in(unordered_pair(unordered_pair(sK62(sF124,X0),X0),unordered_pair(sK62(sF124,X0),sK62(sF124,X0))),sK106) ),
inference(resolution,[],[f1731,f1807]) ).
fof(f14292,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK62(sF124,X0),X0),unordered_pair(sK62(sF124,X0),sK62(sF124,X0))),sK106)
| ~ in(X0,relation_rng(sF124)) ),
inference(forward_subsumption_resolution,[],[f14277,f1811]) ).
fof(f14302,plain,
! [X0] :
( ~ in(X0,relation_rng(sF124))
| in(X0,sK105) ),
inference(forward_subsumption_resolution,[],[f14226,f1811]) ).
fof(f14312,plain,
! [X0] :
( ~ in(X0,relation_rng(sF124))
| in(X0,relation_field(sK106))
| ~ relation(sK106) ),
inference(resolution,[],[f14292,f1618]) ).
fof(f14565,plain,
! [X0] :
( ~ in(X0,relation_rng(sF124))
| in(X0,relation_field(sK106)) ),
inference(forward_subsumption_resolution,[],[f14312,f1312]) ).
fof(f14594,plain,
! [X0] :
( ~ in(X0,relation_rng(sF124))
| in(X0,sF123) ),
inference(forward_demodulation,[],[f14565,f1761]) ).
fof(f14600,plain,
! [X0] :
( in(X0,sF123)
| ~ in(X0,sF125)
| in(X0,relation_dom(sF124)) ),
inference(resolution,[],[f14594,f4323]) ).
fof(f14649,plain,
! [X0] :
( ~ in(X0,sF125)
| in(X0,sF123) ),
inference(forward_subsumption_resolution,[],[f14600,f4944]) ).
fof(f14697,plain,
in(sK104,sF123),
inference(resolution,[],[f14649,f1767]) ).
fof(f14703,plain,
( $false
| spl126_2 ),
inference(forward_subsumption_resolution,[],[f14697,f1778]) ).
fof(f14704,plain,
spl126_2,
inference(avatar_contradiction_clause,[],[f14703]) ).
fof(f14729,plain,
! [X0] :
( in(X0,sK105)
| ~ in(X0,sF125)
| in(X0,relation_dom(sF124)) ),
inference(resolution,[],[f14302,f4323]) ).
fof(f14778,plain,
! [X0] :
( ~ in(X0,sF125)
| in(X0,sK105) ),
inference(forward_subsumption_resolution,[],[f14729,f4915]) ).
fof(f14826,plain,
in(sK104,sK105),
inference(resolution,[],[f14778,f1767]) ).
fof(f14832,plain,
( $false
| spl126_1 ),
inference(forward_subsumption_resolution,[],[f14826,f1774]) ).
fof(f14833,plain,
spl126_1,
inference(avatar_contradiction_clause,[],[f14832]) ).
cnf(s1,plain,
( ~ spl126_1
| ~ spl126_2 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s443,plain,
spl126_2,
inference(sat_conversion,[],[f14704]) ).
cnf(s445,plain,
spl126_1,
inference(sat_conversion,[],[f14833]) ).
cnf(s464,plain,
$false,
inference(rat,[],[s1,s443,s445]) ).
fof(f14835,plain,
$false,
inference(avatar_sat_refutation,[],[s464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU249+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 04:16:56 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.50/2.89 % (2018110)Detected formulas, will run a generic FOF schedule.
% 13.50/2.89 % (2018116)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=672586229:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.50/2.89 % (2018119)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1796464911:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.50/2.89 % (2018117)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=2800889505:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.50/2.89 % (2018115)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=2713397140:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.50/2.89 % (2018118)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=954444236:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.50/2.89 % (2018121)dis-21_1_sil=8000:lcm=predicate:random_seed=106131396: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)
% 13.50/2.89 % (2018120)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3549833368:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.50/2.89 % (2018118)Instruction limit reached!
% 13.50/2.89 % (2018118)------------------------------
% 13.50/2.89 % (2018118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.50/2.89 % (2018118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.50/2.89 % (2018118)CaDiCaL version: 2.1.3
% 13.50/2.89 % (2018118)Termination reason: Instruction limit
% 13.50/2.89 % (2018118)Termination phase: Saturation
% 13.50/2.89 % (2018118)Time elapsed: 0.068 s
% 13.50/2.89 % (2018118)Peak memory usage: 90 MB
% 13.50/2.89 % (2018118)Instructions burned: 110 (million)
% 13.50/2.89 % (2018121)Instruction limit reached!
% 13.50/2.89 % (2018121)------------------------------
% 13.50/2.89 % (2018121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.50/2.89 % (2018121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.50/2.89 % (2018121)CaDiCaL version: 2.1.3
% 13.50/2.89 % (2018121)Termination reason: Instruction limit
% 13.50/2.89 % (2018121)Termination phase: Saturation
% 13.50/2.89 % (2018121)Time elapsed: 0.076 s
% 13.50/2.89 % (2018121)Peak memory usage: 90 MB
% 13.50/2.89 % (2018121)Instructions burned: 131 (million)
% 13.50/2.89 % (2018119)Instruction limit reached!
% 13.50/2.89 % (2018119)------------------------------
% 13.50/2.89 % (2018119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.50/2.89 % (2018119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.50/2.89 % (2018119)CaDiCaL version: 2.1.3
% 13.50/2.89 % (2018119)Termination reason: Instruction limit
% 13.50/2.89 % (2018119)Termination phase: Saturation
% 13.50/2.89 % (2018119)Time elapsed: 0.079 s
% 13.50/2.89 % (2018119)Peak memory usage: 89 MB
% 13.50/2.89 % (2018119)Instructions burned: 120 (million)
% 13.50/2.89 % (2018120)Instruction limit reached!
% 13.50/2.89 % (2018120)------------------------------
% 13.50/2.89 % (2018120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.50/2.89 % (2018120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.50/2.89 % (2018120)CaDiCaL version: 2.1.3
% 13.50/2.89 % (2018120)Termination reason: Instruction limit
% 13.50/2.89 % (2018120)Termination phase: Saturation
% 13.50/2.89 % (2018120)Time elapsed: 0.099 s
% 13.50/2.89 % (2018120)Peak memory usage: 90 MB
% 13.50/2.89 % (2018120)Instructions burned: 140 (million)
% 13.50/2.89 % (2018129)lrs+10_1_sil=8000:sp=occurrence:random_seed=1505426245:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.50/2.89 % (2018131)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1948348805:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.50/2.89 % (2018130)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3174662919:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.50/2.89 % (2018132)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=40454882:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.50/2.89 % (2018130)Instruction limit reached!
% 16.51/3.62 % (2018130)------------------------------
% 16.51/3.62 % (2018130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018130)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018130)Termination reason: Instruction limit
% 16.51/3.62 % (2018130)Termination phase: Saturation
% 16.51/3.62 % (2018130)Time elapsed: 0.084 s
% 16.51/3.62 % (2018130)Peak memory usage: 89 MB
% 16.51/3.62 % (2018130)Instructions burned: 159 (million)
% 16.51/3.62 % (2018132)Instruction limit reached!
% 16.51/3.62 % (2018132)------------------------------
% 16.51/3.62 % (2018132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018132)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018132)Termination reason: Instruction limit
% 16.51/3.62 % (2018132)Termination phase: Saturation
% 16.51/3.62 % (2018132)Time elapsed: 0.145 s
% 16.51/3.62 % (2018132)Peak memory usage: 93 MB
% 16.51/3.62 % (2018132)Instructions burned: 248 (million)
% 16.51/3.62 % (2018129)Instruction limit reached!
% 16.51/3.62 % (2018129)------------------------------
% 16.51/3.62 % (2018129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018129)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018129)Termination reason: Instruction limit
% 16.51/3.62 % (2018129)Termination phase: Saturation
% 16.51/3.62 % (2018129)Time elapsed: 0.186 s
% 16.51/3.62 % (2018129)Peak memory usage: 93 MB
% 16.51/3.62 % (2018129)Instructions burned: 286 (million)
% 16.51/3.62 % (2018131)Instruction limit reached!
% 16.51/3.62 % (2018131)------------------------------
% 16.51/3.62 % (2018131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018131)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018131)Termination reason: Instruction limit
% 16.51/3.62 % (2018131)Termination phase: Saturation
% 16.51/3.62 % (2018131)Time elapsed: 0.219 s
% 16.51/3.62 % (2018131)Peak memory usage: 93 MB
% 16.51/3.62 % (2018131)Instructions burned: 326 (million)
% 16.51/3.62 % (2018137)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3062466997:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 16.51/3.62 % (2018138)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3611223096:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 16.51/3.62 % (2018139)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=454190243:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 16.51/3.62 % (2018141)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=462624315:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 16.51/3.62 % (2018139)Instruction limit reached!
% 16.51/3.62 % (2018139)------------------------------
% 16.51/3.62 % (2018139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018139)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018139)Termination reason: Instruction limit
% 16.51/3.62 % (2018139)Termination phase: Saturation
% 16.51/3.62 % (2018139)Time elapsed: 0.069 s
% 16.51/3.62 % (2018139)Peak memory usage: 90 MB
% 16.51/3.62 % (2018139)Instructions burned: 113 (million)
% 16.51/3.62 % (2018137)Instruction limit reached!
% 16.51/3.62 % (2018137)------------------------------
% 16.51/3.62 % (2018137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018137)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018137)Termination reason: Instruction limit
% 16.51/3.62 % (2018137)Termination phase: Saturation
% 16.51/3.62 % (2018137)Time elapsed: 0.188 s
% 16.51/3.62 % (2018137)Peak memory usage: 91 MB
% 16.51/3.62 % (2018137)Instructions burned: 294 (million)
% 16.51/3.62 % (2018141)Instruction limit reached!
% 16.51/3.62 % (2018141)------------------------------
% 16.51/3.62 % (2018141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018141)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018141)Termination reason: Instruction limit
% 16.51/3.62 % (2018141)Termination phase: Saturation
% 16.51/3.62 % (2018141)Time elapsed: 0.065 s
% 16.51/3.62 % (2018141)Peak memory usage: 90 MB
% 16.51/3.62 % (2018141)Instructions burned: 127 (million)
% 16.51/3.62 % (2018145)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3215938427:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 16.51/3.62 % (2018146)lrs+10_1_sil=8000:sp=occurrence:random_seed=1677826625:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 16.51/3.62 % (2018147)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1861263149:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 16.51/3.62 % (2018145)Instruction limit reached!
% 16.51/3.62 % (2018145)------------------------------
% 16.51/3.62 % (2018145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018145)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018145)Termination reason: Instruction limit
% 16.51/3.62 % (2018145)Termination phase: Saturation
% 16.51/3.62 % (2018145)Time elapsed: 0.067 s
% 16.51/3.62 % (2018145)Peak memory usage: 89 MB
% 16.51/3.62 % (2018145)Instructions burned: 116 (million)
% 16.51/3.62 % (2018151)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3237296765:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 16.51/3.62 % (2018147)Instruction limit reached!
% 16.51/3.62 % (2018147)------------------------------
% 16.51/3.62 % (2018147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018147)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018147)Termination reason: Instruction limit
% 16.51/3.62 % (2018147)Termination phase: Saturation
% 16.51/3.62 % (2018147)Time elapsed: 0.265 s
% 16.51/3.62 % (2018147)Peak memory usage: 93 MB
% 16.51/3.62 % (2018147)Instructions burned: 438 (million)
% 16.51/3.62 % (2018153)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=380177340:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 16.51/3.62 % (2018153)Instruction limit reached!
% 16.51/3.62 % (2018153)------------------------------
% 16.51/3.62 % (2018153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018153)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018153)Termination reason: Instruction limit
% 16.51/3.62 % (2018153)Termination phase: Saturation
% 16.51/3.62 % (2018153)Time elapsed: 0.078 s
% 16.51/3.62 % (2018153)Peak memory usage: 92 MB
% 16.51/3.62 % (2018153)Instructions burned: 135 (million)
% 16.51/3.62 % (2018146)Instruction limit reached!
% 16.51/3.62 % (2018146)------------------------------
% 16.51/3.62 % (2018146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018146)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018146)Termination reason: Instruction limit
% 16.51/3.62 % (2018146)Termination phase: Saturation
% 16.51/3.62 % (2018146)Time elapsed: 0.569 s
% 16.51/3.62 % (2018146)Peak memory usage: 101 MB
% 16.51/3.62 % (2018146)Instructions burned: 908 (million)
% 16.51/3.62 % (2018155)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4022106391:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 16.51/3.62 % (2018156)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1394695783:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 16.51/3.62 % (2018155)Instruction limit reached!
% 16.51/3.62 % (2018155)------------------------------
% 16.51/3.62 % (2018155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018155)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018155)Termination reason: Instruction limit
% 16.51/3.62 % (2018155)Termination phase: Saturation
% 16.51/3.62 % (2018155)Time elapsed: 0.356 s
% 16.51/3.62 % (2018155)Peak memory usage: 98 MB
% 16.51/3.62 % (2018155)Instructions burned: 592 (million)
% 16.51/3.62 % (2018159)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=2680990245:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 16.51/3.62 % (2018159)Instruction limit reached!
% 16.51/3.62 % (2018159)------------------------------
% 16.51/3.62 % (2018159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018159)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018159)Termination reason: Instruction limit
% 16.51/3.62 % (2018159)Termination phase: Saturation
% 16.51/3.62 % (2018159)Time elapsed: 0.078 s
% 16.51/3.62 % (2018159)Peak memory usage: 91 MB
% 16.51/3.62 % (2018159)Instructions burned: 126 (million)
% 16.51/3.62 % (2018138)Instruction limit reached!
% 16.51/3.62 % (2018138)------------------------------
% 16.51/3.62 % (2018138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018138)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018138)Termination reason: Instruction limit
% 16.51/3.62 % (2018138)Termination phase: Saturation
% 16.51/3.62 % (2018138)Time elapsed: 1.462 s
% 16.51/3.62 % (2018138)Peak memory usage: 143 MB
% 16.51/3.62 % (2018138)Instructions burned: 2351 (million)
% 16.51/3.62 % (2018161)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2433138255:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 16.51/3.62 % (2018162)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4274504015:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 16.51/3.62 % (2018161)Instruction limit reached!
% 16.51/3.62 % (2018161)------------------------------
% 16.51/3.62 % (2018161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018161)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018161)Termination reason: Instruction limit
% 16.51/3.62 % (2018161)Termination phase: Saturation
% 16.51/3.62 % (2018161)Time elapsed: 0.084 s
% 16.51/3.62 % (2018161)Peak memory usage: 91 MB
% 16.51/3.62 % (2018161)Instructions burned: 135 (million)
% 16.51/3.62 % (2018162)Instruction limit reached!
% 16.51/3.62 % (2018162)------------------------------
% 16.51/3.62 % (2018162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018162)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018162)Termination reason: Instruction limit
% 16.51/3.62 % (2018162)Termination phase: Saturation
% 16.51/3.62 % (2018162)Time elapsed: 0.085 s
% 16.51/3.62 % (2018162)Peak memory usage: 92 MB
% 16.51/3.62 % (2018162)Instructions burned: 141 (million)
% 16.51/3.62 % (2018165)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2530754918:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 16.51/3.62 % (2018166)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=3699031265:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 16.51/3.62 % (2018115)First to succeed.
% 16.51/3.62 % (2018115)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2018110"
% 16.51/3.62 % (2018165)Instruction limit reached!
% 16.51/3.62 % (2018165)------------------------------
% 16.51/3.62 % (2018165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.62 % (2018165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.62 % (2018165)CaDiCaL version: 2.1.3
% 16.51/3.62 % (2018165)Termination reason: Instruction limit
% 16.51/3.62 % (2018165)Termination phase: Saturation
% 16.51/3.62 % (2018165)Time elapsed: 0.248 s
% 16.51/3.62 % (2018165)Peak memory usage: 93 MB
% 16.51/3.62 % (2018165)Instructions burned: 432 (million)
% 16.51/3.62 % (2018115)Refutation found. Thanks to Tanya!
% 16.51/3.62 % SZS status Theorem for theBenchmark
% 16.51/3.62 % SZS output start Proof for theBenchmark
% See solution above
% 20.01/3.81 % (2018115)------------------------------
% 20.01/3.81 % (2018115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.01/3.81 % (2018115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.81 % (2018115)CaDiCaL version: 2.1.3
% 20.01/3.81 % (2018115)Termination reason: Refutation
% 20.01/3.81 % (2018115)Time elapsed: 2.318 s
% 20.01/3.81 % (2018115)Peak memory usage: 155 MB
% 20.01/3.81 % (2018115)Instructions burned: 3701 (million)
% 20.01/3.81 % (2018115)------------------------------
% 20.01/3.81 % (2018115)------------------------------
% 20.01/3.81 % (2018110)Success in time 2.744 s
% 20.01/3.81 % Vampire exiting
%------------------------------------------------------------------------------