%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU190+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:52:18 PM UTC 2026
% Result : Theorem 2.02s 0.86s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 142 ( 20 unt; 7 def)
% Number of atoms : 476 ( 126 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 556 ( 222 ~; 268 |; 44 &)
% ( 17 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-2 aty)
% Number of variables : 253 ( 0 sgn 228 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f4,axiom,
! [X0,X1] :
( relation(X1)
=> ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( in(X2,X0)
& X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1) ).
fof(f5,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(f6,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(f7,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(f14,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f32,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f34,conjecture,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f40,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( in(X2,X0)
& X2 = X3 ) ) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f52,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f54,plain,
? [X0] :
( relation_dom(identity_relation(X0)) != X0
| relation_rng(identity_relation(X0)) != X0 ),
inference(ennf_transformation,[],[f35]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(X2,X0)
| X2 != X3 )
& ( ( in(X2,X0)
& X2 = X3 )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f40]) ).
fof(f58,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(X2,X0)
| X2 != X3 )
& ( ( in(X2,X0)
& X2 = X3 )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5 )
& ( ( in(X4,X0)
& X4 = X5 )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ( ( ~ in(sK0(X0,X1),X0)
| sK0(X0,X1) != sK1(X0,X1)
| ~ in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1) )
& ( ( in(sK0(X0,X1),X0)
& sK0(X0,X1) = sK1(X0,X1) )
| in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5 )
& ( ( in(X4,X0)
& X4 = X5 )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f59]) ).
fof(f61,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,[],[f41]) ).
fof(f62,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,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK2(X0,X1),X3),X0)
| ~ in(sK2(X0,X1),X1) )
& ( in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK4(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(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))],[f62]) ).
fof(f64,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,[],[f42]) ).
fof(f65,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,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ in(sK5(X0,X1),X1) )
& ( in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
| in(sK5(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X2,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X7,sK7(X0,X5))],[f65]) ).
fof(f72,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f73,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK13(X0,X1),X1)
| ~ in(sK13(X0,X1),X0) )
& ( in(sK13(X0,X1),X1)
| in(sK13(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f72]) ).
fof(f74,plain,
( sK14 != relation_dom(identity_relation(sK14))
| sK14 != relation_rng(identity_relation(sK14)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f54]) ).
fof(f77,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f78,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X4,X5),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f79,plain,
! [X0,X1,X4,X5] :
( in(X4,X0)
| ~ in(ordered_pair(X4,X5),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f80,plain,
! [X0,X1,X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f85,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f86,plain,
! [X0,X1] :
( relation_dom(X0) = X1
| in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
| in(sK2(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f87,plain,
! [X3,X0,X1] :
( relation_dom(X0) = X1
| ~ in(ordered_pair(sK2(X0,X1),X3),X0)
| ~ in(sK2(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f89,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f92,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f93,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f115,plain,
! [X0,X1] :
( in(sK13(X0,X1),X1)
| in(sK13(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f73]) ).
fof(f116,plain,
! [X0,X1] :
( ~ in(sK13(X0,X1),X1)
| X0 = X1
| ~ in(sK13(X0,X1),X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f118,plain,
( sK14 != relation_dom(identity_relation(sK14))
| sK14 != relation_rng(identity_relation(sK14)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f124,plain,
! [X0,X1,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)
| ~ in(X4,X0)
| X4 != X5
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f80,f92]) ).
fof(f125,plain,
! [X0,X1,X4,X5] :
( in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f79,f92]) ).
fof(f126,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f78,f92]) ).
fof(f127,plain,
! [X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK2(X0,X1),X3),singleton(sK2(X0,X1))),X0)
| relation_dom(X0) = X1
| ~ in(sK2(X0,X1),X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f87,f92]) ).
fof(f128,plain,
! [X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK2(X0,X1),sK3(X0,X1)),singleton(sK2(X0,X1))),X0)
| in(sK2(X0,X1),X1)
| relation_dom(X0) = X1 ),
inference(definition_unfolding,[],[f86,f92]) ).
fof(f129,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f85,f92]) ).
fof(f133,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f89,f92]) ).
fof(f134,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK7(X0,X5),X5),singleton(sK7(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f88,f92]) ).
fof(f136,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,X5),singleton(X5)),X1)
| ~ in(X5,X0)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(equality_resolution,[],[f124]) ).
fof(f137,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,X5),singleton(X5)),identity_relation(X0))
| ~ in(X5,X0)
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f136]) ).
fof(f138,plain,
! [X0,X4,X5] :
( in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f125]) ).
fof(f139,plain,
! [X0,X4,X5] :
( X4 = X5
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f126]) ).
fof(f140,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f129]) ).
fof(f142,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f143,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| in(unordered_pair(unordered_pair(sK7(X0,X5),X5),singleton(sK7(X0,X5))),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f144,definition,
sF15 = identity_relation(sK14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f145,plain,
identity_relation(sK14) = sF15,
inference(reorient_equations,[],[f144]) ).
fof(f146,definition,
sF16 = relation_dom(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f147,plain,
relation_dom(sF15) = sF16,
inference(reorient_equations,[],[f146]) ).
fof(f148,definition,
sF17 = relation_rng(sF15),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f149,plain,
relation_rng(sF15) = sF17,
inference(reorient_equations,[],[f148]) ).
fof(f150,plain,
( sK14 != sF16
| sK14 != sF17 ),
inference(definition_folding,[],[f118,f149,f145,f147,f145]) ).
fof(f152,definition,
( spl18_1
<=> sK14 = sF17 ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f154,plain,
( sK14 != sF17
| spl18_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f156,definition,
( spl18_2
<=> sK14 = sF16 ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f157,plain,
( sK14 = sF16
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( sK14 != sF16
| spl18_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f150,f156,f152]) ).
fof(f160,plain,
! [X0,X4,X5] :
( X4 = X5
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),identity_relation(X0)) ),
inference(forward_subsumption_resolution,[],[f139,f93]) ).
fof(f161,plain,
! [X0,X4,X5] :
( in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),identity_relation(X0)) ),
inference(forward_subsumption_resolution,[],[f138,f93]) ).
fof(f162,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,X5),singleton(X5)),identity_relation(X0))
| ~ in(X5,X0) ),
inference(forward_subsumption_resolution,[],[f137,f93]) ).
fof(f163,plain,
! [X0,X4,X5] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),identity_relation(X0))
| X4 = X5 ),
inference(forward_demodulation,[],[f160,f77]) ).
fof(f164,plain,
! [X0,X4,X5] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),identity_relation(X0))
| in(X4,X0) ),
inference(forward_demodulation,[],[f161,f77]) ).
fof(f165,plain,
! [X0,X5] :
( in(unordered_pair(singleton(X5),unordered_pair(X5,X5)),identity_relation(X0))
| ~ in(X5,X0) ),
inference(forward_demodulation,[],[f162,f77]) ).
fof(f169,plain,
relation(sF15),
inference(superposition,[],[f93,f145]) ).
fof(f234,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF15)
| X0 = X1 ),
inference(superposition,[],[f163,f145]) ).
fof(f260,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sF15)
| ~ in(X0,sK14) ),
inference(superposition,[],[f165,f145]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),X2)
| in(X1,relation_dom(X2))
| ~ relation(X2) ),
inference(superposition,[],[f140,f77]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(superposition,[],[f140,f77]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),X2)
| in(X1,relation_dom(X2))
| ~ relation(X2) ),
inference(forward_demodulation,[],[f280,f77]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(superposition,[],[f142,f77]) ).
fof(f306,plain,
! [X0] :
( ~ in(X0,sF17)
| in(unordered_pair(unordered_pair(sK7(sF15,X0),X0),singleton(sK7(sF15,X0))),sF15)
| ~ relation(sF15) ),
inference(superposition,[],[f143,f149]) ).
fof(f309,plain,
! [X0] :
( ~ in(X0,sF17)
| in(unordered_pair(unordered_pair(sK7(sF15,X0),X0),singleton(sK7(sF15,X0))),sF15) ),
inference(forward_subsumption_resolution,[],[f306,f169]) ).
fof(f313,plain,
! [X0] :
( in(unordered_pair(singleton(sK7(sF15,X0)),unordered_pair(sK7(sF15,X0),X0)),sF15)
| ~ in(X0,sF17) ),
inference(forward_demodulation,[],[f309,f77]) ).
fof(f317,plain,
! [X0] :
( in(unordered_pair(singleton(sK7(sF15,X0)),unordered_pair(X0,sK7(sF15,X0))),sF15)
| ~ in(X0,sF17) ),
inference(forward_demodulation,[],[f313,f77]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(sK2(X0,X1)),unordered_pair(sK2(X0,X1),X2)),X0)
| relation_dom(X0) = X1
| ~ in(sK2(X0,X1),X1)
| ~ relation(X0) ),
inference(superposition,[],[f127,f77]) ).
fof(f354,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK2(identity_relation(X0),X1),sK3(identity_relation(X0),X1)),singleton(sK2(identity_relation(X0),X1))),identity_relation(X0))
| in(sK2(identity_relation(X0),X1),X1)
| relation_dom(identity_relation(X0)) = X1 ),
inference(resolution,[],[f128,f93]) ).
fof(f369,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK2(identity_relation(X0),X1)),unordered_pair(sK2(identity_relation(X0),X1),sK3(identity_relation(X0),X1))),identity_relation(X0))
| in(sK2(identity_relation(X0),X1),X1)
| relation_dom(identity_relation(X0)) = X1 ),
inference(forward_demodulation,[],[f354,f77]) ).
fof(f545,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),sF15)
| X0 = X1 ),
inference(superposition,[],[f234,f77]) ).
fof(f723,plain,
! [X0] :
( in(X0,relation_dom(sF15))
| ~ relation(sF15)
| ~ in(X0,sK14) ),
inference(resolution,[],[f282,f260]) ).
fof(f728,plain,
! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f723,f169]) ).
fof(f731,plain,
! [X0] :
( ~ in(X0,sK14)
| in(X0,sF16) ),
inference(forward_demodulation,[],[f728,f147]) ).
fof(f746,plain,
! [X0] :
( in(X0,relation_rng(sF15))
| ~ relation(sF15)
| ~ in(X0,sK14) ),
inference(resolution,[],[f291,f260]) ).
fof(f751,plain,
! [X0] :
( in(X0,relation_rng(sF15))
| ~ in(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f746,f169]) ).
fof(f754,plain,
! [X0] :
( ~ in(X0,sK14)
| in(X0,sF17) ),
inference(forward_demodulation,[],[f751,f149]) ).
fof(f802,plain,
! [X0] :
( ~ in(X0,sF17)
| in(sK7(sF15,X0),relation_dom(sF15))
| ~ relation(sF15) ),
inference(resolution,[],[f317,f283]) ).
fof(f806,plain,
! [X0] :
( ~ in(X0,sF17)
| in(sK7(sF15,X0),relation_dom(sF15)) ),
inference(forward_subsumption_resolution,[],[f802,f169]) ).
fof(f808,plain,
! [X0] :
( in(sK7(sF15,X0),sF16)
| ~ in(X0,sF17) ),
inference(forward_demodulation,[],[f806,f147]) ).
fof(f854,plain,
! [X0] :
( relation_dom(sF15) = X0
| ~ in(sK2(sF15,X0),X0)
| ~ relation(sF15)
| ~ in(sK2(sF15,X0),sK14) ),
inference(resolution,[],[f327,f260]) ).
fof(f859,plain,
! [X0] :
( relation_dom(sF15) = X0
| ~ in(sK2(sF15,X0),X0)
| ~ in(sK2(sF15,X0),sK14) ),
inference(forward_subsumption_resolution,[],[f854,f169]) ).
fof(f862,plain,
! [X0] :
( ~ in(sK2(sF15,X0),sK14)
| ~ in(sK2(sF15,X0),X0)
| sF16 = X0 ),
inference(forward_demodulation,[],[f859,f147]) ).
fof(f901,plain,
! [X0] :
( in(sK13(sK14,X0),sF16)
| in(sK13(sK14,X0),X0)
| sK14 = X0 ),
inference(resolution,[],[f731,f115]) ).
fof(f996,plain,
! [X0,X1] :
( in(sK2(identity_relation(X0),X1),X1)
| in(sK2(identity_relation(X0),X1),X0)
| relation_dom(identity_relation(X0)) = X1 ),
inference(resolution,[],[f369,f164]) ).
fof(f1310,plain,
! [X0] :
( in(sK13(sK14,X0),sF17)
| in(sK13(sK14,X0),X0)
| sK14 = X0 ),
inference(resolution,[],[f754,f115]) ).
fof(f1915,plain,
! [X0] :
( ~ in(X0,sF17)
| sK7(sF15,X0) = X0 ),
inference(resolution,[],[f545,f317]) ).
fof(f2481,plain,
! [X0] :
( in(sK2(identity_relation(X0),X0),X0)
| relation_dom(identity_relation(X0)) = X0 ),
inference(factoring,[],[f996]) ).
fof(f8459,plain,
( in(sK2(sF15,sK14),sK14)
| sK14 = relation_dom(sF15) ),
inference(superposition,[],[f2481,f145]) ).
fof(f8461,plain,
( sK14 = sF16
| in(sK2(sF15,sK14),sK14) ),
inference(forward_demodulation,[],[f8459,f147]) ).
fof(f8476,plain,
( in(sK2(sF15,sK14),sK14)
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f8461,f158]) ).
fof(f8513,plain,
( ~ in(sK2(sF15,sK14),sK14)
| sK14 = sF16
| spl18_2 ),
inference(resolution,[],[f8476,f862]) ).
fof(f8531,plain,
( sK14 = sF16
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f8513,f8476]) ).
fof(f8532,plain,
( $false
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f8531,f158]) ).
fof(f8533,plain,
spl18_2,
inference(avatar_contradiction_clause,[],[f8532]) ).
fof(f9901,plain,
( in(sK13(sK14,sF17),sF16)
| sK14 = sF17
| sK13(sK14,sF17) = sK7(sF15,sK13(sK14,sF17)) ),
inference(resolution,[],[f901,f1915]) ).
fof(f9905,plain,
( in(sK13(sK14,sF17),sF16)
| sK13(sK14,sF17) = sK7(sF15,sK13(sK14,sF17))
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f9901,f154]) ).
fof(f9915,plain,
( in(sK13(sK14,sF17),sK14)
| sK13(sK14,sF17) = sK7(sF15,sK13(sK14,sF17))
| spl18_1
| ~ spl18_2 ),
inference(forward_demodulation,[],[f9905,f157]) ).
fof(f9920,definition,
( spl18_106
<=> sK13(sK14,sF17) = sK7(sF15,sK13(sK14,sF17)) ),
introduced(definition,[new_symbols(definition,[spl18_106])],[avatar_definition]) ).
fof(f9922,plain,
( sK13(sK14,sF17) = sK7(sF15,sK13(sK14,sF17))
| ~ spl18_106 ),
inference(avatar_component_clause,[],[f9920]) ).
fof(f9924,definition,
( spl18_107
<=> in(sK13(sK14,sF17),sK14) ),
introduced(definition,[new_symbols(definition,[spl18_107])],[avatar_definition]) ).
fof(f9925,plain,
( ~ in(sK13(sK14,sF17),sK14)
| spl18_107 ),
inference(avatar_component_clause,[],[f9924]) ).
fof(f9927,plain,
( spl18_106
| spl18_107
| spl18_1
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f9915,f156,f152,f9924,f9920]) ).
fof(f9975,plain,
( in(sK13(sK14,sF17),sF17)
| sK14 = sF17 ),
inference(factoring,[],[f1310]) ).
fof(f9977,plain,
( in(sK13(sK14,sF17),sF17)
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f9975,f154]) ).
fof(f9981,plain,
( sK14 = sF17
| ~ in(sK13(sK14,sF17),sK14)
| spl18_1 ),
inference(resolution,[],[f9977,f116]) ).
fof(f9998,plain,
( ~ in(sK13(sK14,sF17),sK14)
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f9981,f154]) ).
fof(f10002,plain,
( ~ spl18_107
| spl18_1 ),
inference(avatar_split_clause,[],[f9998,f152,f9924]) ).
fof(f11684,plain,
( in(sK13(sK14,sF17),sF16)
| ~ in(sK13(sK14,sF17),sF17)
| ~ spl18_106 ),
inference(superposition,[],[f808,f9922]) ).
fof(f11691,plain,
( in(sK13(sK14,sF17),sF16)
| spl18_1
| ~ spl18_106 ),
inference(forward_subsumption_resolution,[],[f11684,f9977]) ).
fof(f11700,plain,
( in(sK13(sK14,sF17),sK14)
| spl18_1
| ~ spl18_2
| ~ spl18_106 ),
inference(forward_demodulation,[],[f11691,f157]) ).
fof(f11701,plain,
( $false
| spl18_1
| ~ spl18_2
| ~ spl18_106
| spl18_107 ),
inference(forward_subsumption_resolution,[],[f11700,f9925]) ).
fof(f11702,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_106
| spl18_107 ),
inference(avatar_contradiction_clause,[],[f11701]) ).
cnf(s1,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(sat_conversion,[],[f159]) ).
cnf(s223,plain,
spl18_2,
inference(sat_conversion,[],[f8533]) ).
cnf(s245,plain,
( spl18_1
| ~ spl18_2
| spl18_106
| spl18_107 ),
inference(sat_conversion,[],[f9927]) ).
cnf(s248,plain,
( spl18_1
| ~ spl18_107 ),
inference(sat_conversion,[],[f10002]) ).
cnf(s258,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_106
| spl18_107 ),
inference(sat_conversion,[],[f11702]) ).
cnf(s259,plain,
~ spl18_1,
inference(rat,[],[s1,s223]) ).
cnf(s260,plain,
~ spl18_107,
inference(rat,[],[s248,s259]) ).
cnf(s262,plain,
spl18_106,
inference(rat,[],[s245,s260,s223,s259]) ).
cnf(s265,plain,
$false,
inference(rat,[],[s258,s259,s223,s260,s262]) ).
fof(f11703,plain,
$false,
inference(avatar_sat_refutation,[],[s265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU190+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 03:58:18 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.02/0.86 % (3646437)Will run a generic schedule for satisfiability detection.
% 2.02/0.86 % (3646445)dis+10_1_sil=32000:sp=arity:random_seed=2109884294:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.02/0.86 % (3646443)% WARNING: option uhcvi not known.
% 2.02/0.86 % (3646442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=783919216_2999 on theBenchmark for (2999ds/0Mi)
% 2.02/0.86 % (3646443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=822491304:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.02/0.86 % (3646447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=274261375:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.02/0.86 % (3646444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=631943712:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.02/0.86 % (3646446)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2533155811:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.02/0.86 % (3646448)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=752528480:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.02/0.86 % TRYING [1]
% 2.02/0.86 % TRYING [2]
% 2.02/0.86 % TRYING [3]
% 2.02/0.86 % TRYING [4]
% 2.02/0.86 % (3646445)Instruction limit reached!
% 2.02/0.86 % (3646445)------------------------------
% 2.02/0.86 % (3646445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.86 % (3646445)CaDiCaL version: 2.1.3
% 2.02/0.86 % (3646445)Termination reason: Instruction limit
% 2.02/0.86 % (3646445)Termination phase: Saturation
% 2.02/0.86 % (3646445)Time elapsed: 0.034 s
% 2.02/0.86 % (3646445)Peak memory usage: 12 MB
% 2.02/0.86 % (3646445)Instructions burned: 107 (million)
% 2.02/0.86 % (3646456)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3222948176:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.02/0.86 % TRYING [1]
% 2.02/0.86 % TRYING [2]
% 2.02/0.86 % TRYING [3]
% 2.02/0.86 % TRYING [4]
% 2.02/0.86 % (3646446)Instruction limit reached!
% 2.02/0.86 % (3646446)------------------------------
% 2.02/0.86 % (3646446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.86 % (3646446)CaDiCaL version: 2.1.3
% 2.02/0.86 % (3646446)Termination reason: Instruction limit
% 2.02/0.86 % (3646446)Termination phase: Saturation
% 2.02/0.86 % (3646446)Time elapsed: 0.068 s
% 2.02/0.86 % (3646446)Peak memory usage: 13 MB
% 2.02/0.86 % (3646446)Instructions burned: 116 (million)
% 2.02/0.86 % (3646447)Instruction limit reached!
% 2.02/0.86 % (3646447)------------------------------
% 2.02/0.86 % (3646447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.86 % (3646447)CaDiCaL version: 2.1.3
% 2.02/0.86 % (3646447)Termination reason: Instruction limit
% 2.02/0.86 % (3646447)Termination phase: Saturation
% 2.02/0.86 % (3646447)Time elapsed: 0.081 s
% 2.02/0.86 % (3646447)Peak memory usage: 12 MB
% 2.02/0.86 % (3646447)Instructions burned: 138 (million)
% 2.02/0.86 % (3646458)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3055089633:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.02/0.86 % (3646448)Instruction limit reached!
% 2.02/0.86 % (3646448)------------------------------
% 2.02/0.86 % (3646448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.86 % (3646448)CaDiCaL version: 2.1.3
% 2.02/0.86 % (3646448)Termination reason: Instruction limit
% 2.02/0.86 % (3646448)Termination phase: Saturation
% 2.02/0.86 % (3646448)Time elapsed: 0.090 s
% 2.02/0.86 % (3646448)Peak memory usage: 13 MB
% 2.02/0.86 % (3646448)Instructions burned: 160 (million)
% 2.02/0.86 % (3646459)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3983842399:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.02/0.86 % (3646461)ott-21_1_sil=16000:fs=off:random_seed=286738854:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.02/0.86 % TRYING [5]
% 2.02/0.86 % (3646458)Instruction limit reached!
% 2.02/0.86 % (3646458)------------------------------
% 2.02/0.86 % (3646458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.86 % (3646458)CaDiCaL version: 2.1.3
% 2.02/0.86 % (3646458)Termination reason: Instruction limit
% 2.02/0.86 % (3646458)Termination phase: Saturation
% 2.02/0.86 % (3646458)Time elapsed: 0.089 s
% 2.02/0.86 % (3646458)Peak memory usage: 13 MB
% 2.02/0.86 % (3646458)Instructions burned: 131 (million)
% 2.02/0.86 % (3646461)Instruction limit reached!
% 2.02/0.86 % (3646461)------------------------------
% 2.02/0.86 % (3646461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.86 % (3646461)CaDiCaL version: 2.1.3
% 2.02/0.86 % (3646461)Termination reason: Instruction limit
% 2.02/0.86 % (3646461)Termination phase: Saturation
% 2.02/0.86 % (3646461)Time elapsed: 0.080 s
% 2.02/0.86 % (3646461)Peak memory usage: 12 MB
% 2.02/0.86 % (3646461)Instructions burned: 182 (million)
% 2.02/0.86 % (3646464)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=868558438:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.02/0.86 % (3646465)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=945303386:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.02/0.86 % TRYING [1]
% 2.02/0.86 % TRYING [2]
% 2.02/0.86 % TRYING [3]
% 2.02/0.86 % (3646456)Instruction limit reached!
% 2.02/0.86 % (3646456)------------------------------
% 2.02/0.86 % (3646456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.86 % (3646456)CaDiCaL version: 2.1.3
% 2.02/0.86 % (3646456)Termination reason: Instruction limit
% 2.02/0.86 % (3646456)Termination phase: Finite model building SAT solving
% 2.02/0.86 % (3646456)Time elapsed: 0.199 s
% 2.02/0.86 % (3646456)Peak memory usage: 23 MB
% 2.02/0.86 % (3646456)Instructions burned: 716 (million)
% 2.02/0.86 % TRYING [4]
% 2.02/0.86 % (3646468)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=580311505:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.02/0.86 % TRYING [5]
% 2.02/0.86 % (3646459)Instruction limit reached!
% 2.02/0.86 % (3646459)------------------------------
% 2.02/0.86 % (3646459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.86 % (3646459)CaDiCaL version: 2.1.3
% 2.02/0.86 % (3646459)Termination reason: Instruction limit
% 2.02/0.86 % (3646459)Termination phase: Saturation
% 2.02/0.86 % (3646459)Time elapsed: 0.275 s
% 2.02/0.86 % (3646459)Peak memory usage: 14 MB
% 2.02/0.86 % (3646459)Instructions burned: 685 (million)
% 2.02/0.86 % (3646470)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3310003302:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.02/0.86 % (3646468) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3646437-3646468"...
% 2.02/0.86 % (3646468)...printing done.
% 2.02/0.86 % (3646468)Refutation found. Thanks to Tanya!
% 2.02/0.86 % SZS status Theorem for theBenchmark
% 2.02/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.86 % (3646468)------------------------------
% 2.02/0.86 % (3646468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.86 % (3646468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.87 % (3646468)CaDiCaL version: 2.1.3
% 2.02/0.87 % (3646468)Termination reason: Refutation
% 2.02/0.87 % (3646468)Time elapsed: 0.154 s
% 2.02/0.87 % (3646468)Peak memory usage: 16 MB
% 2.02/0.87 % (3646468)Instructions burned: 506 (million)
% 2.02/0.87 % (3646437)Success in time 0.439 s
% 2.02/0.87 % Vampire exiting
%------------------------------------------------------------------------------