%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU181+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:52:16 PM UTC 2026
% Result : Theorem 1.94s 0.81s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 16
% Syntax : Number of formulae : 172 ( 24 unt; 8 def)
% Number of atoms : 520 ( 108 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 591 ( 243 ~; 294 |; 31 &)
% ( 15 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-2 aty)
% Number of variables : 257 ( 0 sgn 236 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( X1 = relation_inverse(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> in(ordered_pair(X3,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_relat_1) ).
fof(f15,axiom,
! [X0] :
( relation(X0)
=> relation(relation_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f24,axiom,
! [X0] :
( relation(X0)
=> relation_inverse(relation_inverse(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f33,conjecture,
! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f44,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(f45,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(f46,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_inverse(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f47,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f48,plain,
! [X0] :
( relation_inverse(relation_inverse(X0)) = X0
| ~ relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f53,plain,
? [X0] :
( ( relation_rng(X0) != relation_dom(relation_inverse(X0))
| relation_dom(X0) != relation_rng(relation_inverse(X0)) )
& relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f65,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,[],[f44]) ).
fof(f66,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,[],[f65]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1) )
& ( in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f66]) ).
fof(f68,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,[],[f45]) ).
fof(f69,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,[],[f68]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK4(X0,X1)),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f69]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = relation_inverse(X0)
| ? [X2,X3] :
( ( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X3,X2),X0) )
& ( in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) ) )
| relation_inverse(X0) != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = relation_inverse(X0)
| ? [X2,X3] :
( ( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X5,X4),X0) )
& ( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X1) ) )
| relation_inverse(X0) != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = relation_inverse(X0)
| ( ( ~ in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| ~ in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1) )
& ( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X5,X4),X0) )
& ( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X1) ) )
| relation_inverse(X0) != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1))],[f72]) ).
fof(f80,plain,
( ( relation_rng(sK15) != relation_dom(relation_inverse(sK15))
| relation_dom(sK15) != relation_rng(relation_inverse(sK15)) )
& relation(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f53]) ).
fof(f83,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f91,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f92,plain,
! [X0,X1] :
( relation_dom(X0) = X1
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f93,plain,
! [X3,X0,X1] :
( relation_dom(X0) = X1
| ~ in(ordered_pair(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f94,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f95,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f96,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0)
| in(sK4(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f97,plain,
! [X3,X0,X1] :
( relation_rng(X0) = X1
| ~ in(ordered_pair(X3,sK4(X0,X1)),X0)
| ~ in(sK4(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f98,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f100,plain,
! [X0,X1,X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X5,X4),X0)
| relation_inverse(X0) != X1
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f103,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f110,plain,
! [X0] :
( ~ relation(X0)
| relation_inverse(relation_inverse(X0)) = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f122,plain,
relation(sK15),
inference(cnf_transformation,[],[f80]) ).
fof(f123,plain,
( relation_rng(sK15) != relation_dom(relation_inverse(sK15))
| relation_dom(sK15) != relation_rng(relation_inverse(sK15)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f131,plain,
! [X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK1(X0,X1),X3),singleton(sK1(X0,X1))),X0)
| relation_dom(X0) = X1
| ~ in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f93,f98]) ).
fof(f132,plain,
! [X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK1(X0,X1),sK2(X0,X1)),singleton(sK1(X0,X1))),X0)
| in(sK1(X0,X1),X1)
| relation_dom(X0) = X1 ),
inference(definition_unfolding,[],[f92,f98]) ).
fof(f133,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,[],[f91,f98]) ).
fof(f134,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f90,f98]) ).
fof(f135,plain,
! [X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X3,sK4(X0,X1)),singleton(X3)),X0)
| relation_rng(X0) = X1
| ~ in(sK4(X0,X1),X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f97,f98]) ).
fof(f136,plain,
! [X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK5(X0,X1),sK4(X0,X1)),singleton(sK5(X0,X1))),X0)
| in(sK4(X0,X1),X1)
| relation_rng(X0) = X1 ),
inference(definition_unfolding,[],[f96,f98]) ).
fof(f137,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,[],[f95,f98]) ).
fof(f138,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f94,f98]) ).
fof(f141,plain,
! [X0,X1,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X0)
| relation_inverse(X0) != X1
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f100,f98,f98]) ).
fof(f146,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f147,plain,
! [X0,X5] :
( ~ in(X5,relation_dom(X0))
| in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f148,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f137]) ).
fof(f149,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f138]) ).
fof(f150,plain,
! [X0,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),relation_inverse(X0))
| ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X0)
| ~ relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f141]) ).
fof(f152,definition,
sF16 = relation_rng(sK15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f153,plain,
relation_rng(sK15) = sF16,
inference(reorient_equations,[],[f152]) ).
fof(f154,definition,
sF17 = relation_inverse(sK15),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f155,plain,
relation_inverse(sK15) = sF17,
inference(reorient_equations,[],[f154]) ).
fof(f156,definition,
sF18 = relation_dom(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f157,plain,
relation_dom(sF17) = sF18,
inference(reorient_equations,[],[f156]) ).
fof(f158,definition,
sF19 = relation_dom(sK15),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f159,plain,
relation_dom(sK15) = sF19,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF20 = relation_rng(sF17),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f161,plain,
relation_rng(sF17) = sF20,
inference(reorient_equations,[],[f160]) ).
fof(f162,plain,
( sF16 != sF18
| sF19 != sF20 ),
inference(definition_folding,[],[f123,f161,f155,f159,f157,f155,f153]) ).
fof(f164,definition,
( spl21_1
<=> sF19 = sF20 ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f166,plain,
( sF19 != sF20
| spl21_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl21_2
<=> sF16 = sF18 ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f170,plain,
( sF16 != sF18
| spl21_2 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f162,f168,f164]) ).
fof(f173,plain,
! [X0,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),relation_inverse(X0))
| ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X0)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f150,f103]) ).
fof(f175,plain,
! [X0,X4,X5] :
( in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),relation_inverse(X0))
| ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f173,f83]) ).
fof(f177,plain,
! [X0,X4,X5] :
( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X4)),X0)
| in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),relation_inverse(X0))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f175,f83]) ).
fof(f178,plain,
( relation(sF17)
| ~ relation(sK15) ),
inference(superposition,[],[f103,f155]) ).
fof(f179,plain,
relation(sF17),
inference(forward_subsumption_resolution,[],[f178,f122]) ).
fof(f194,plain,
sK15 = relation_inverse(relation_inverse(sK15)),
inference(resolution,[],[f110,f122]) ).
fof(f196,plain,
sK15 = relation_inverse(sF17),
inference(forward_demodulation,[],[f194,f155]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(superposition,[],[f146,f83]) ).
fof(f284,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),X2)
| in(X0,relation_rng(X2))
| ~ relation(X2) ),
inference(superposition,[],[f148,f83]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),X2)
| in(X0,relation_rng(X2))
| ~ relation(X2) ),
inference(forward_demodulation,[],[f284,f83]) ).
fof(f289,plain,
! [X0] :
( ~ in(X0,sF18)
| in(unordered_pair(unordered_pair(X0,sK3(sF17,X0)),singleton(X0)),sF17)
| ~ relation(sF17) ),
inference(superposition,[],[f147,f157]) ).
fof(f290,plain,
! [X0] :
( ~ in(X0,sF19)
| in(unordered_pair(unordered_pair(X0,sK3(sK15,X0)),singleton(X0)),sK15)
| ~ relation(sK15) ),
inference(superposition,[],[f147,f159]) ).
fof(f291,plain,
! [X0] :
( ~ in(X0,sF19)
| in(unordered_pair(unordered_pair(X0,sK3(sK15,X0)),singleton(X0)),sK15) ),
inference(forward_subsumption_resolution,[],[f290,f122]) ).
fof(f292,plain,
! [X0] :
( ~ in(X0,sF18)
| in(unordered_pair(unordered_pair(X0,sK3(sF17,X0)),singleton(X0)),sF17) ),
inference(forward_subsumption_resolution,[],[f289,f179]) ).
fof(f293,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK15,X0))),sK15)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f291,f83]) ).
fof(f294,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sF17,X0))),sF17)
| ~ in(X0,sF18) ),
inference(forward_demodulation,[],[f292,f83]) ).
fof(f306,plain,
! [X0] :
( ~ in(X0,sF16)
| in(unordered_pair(unordered_pair(sK6(sK15,X0),X0),singleton(sK6(sK15,X0))),sK15)
| ~ relation(sK15) ),
inference(superposition,[],[f149,f153]) ).
fof(f307,plain,
! [X0] :
( ~ in(X0,sF20)
| in(unordered_pair(unordered_pair(sK6(sF17,X0),X0),singleton(sK6(sF17,X0))),sF17)
| ~ relation(sF17) ),
inference(superposition,[],[f149,f161]) ).
fof(f308,plain,
! [X0] :
( ~ in(X0,sF20)
| in(unordered_pair(unordered_pair(sK6(sF17,X0),X0),singleton(sK6(sF17,X0))),sF17) ),
inference(forward_subsumption_resolution,[],[f307,f179]) ).
fof(f309,plain,
! [X0] :
( ~ in(X0,sF16)
| in(unordered_pair(unordered_pair(sK6(sK15,X0),X0),singleton(sK6(sK15,X0))),sK15) ),
inference(forward_subsumption_resolution,[],[f306,f122]) ).
fof(f310,plain,
! [X0] :
( in(unordered_pair(singleton(sK6(sF17,X0)),unordered_pair(sK6(sF17,X0),X0)),sF17)
| ~ in(X0,sF20) ),
inference(forward_demodulation,[],[f308,f83]) ).
fof(f311,plain,
! [X0] :
( in(unordered_pair(singleton(sK6(sK15,X0)),unordered_pair(sK6(sK15,X0),X0)),sK15)
| ~ in(X0,sF16) ),
inference(forward_demodulation,[],[f309,f83]) ).
fof(f312,plain,
! [X0] :
( in(unordered_pair(singleton(sK6(sF17,X0)),unordered_pair(X0,sK6(sF17,X0))),sF17)
| ~ in(X0,sF20) ),
inference(forward_demodulation,[],[f310,f83]) ).
fof(f313,plain,
! [X0] :
( in(unordered_pair(singleton(sK6(sK15,X0)),unordered_pair(X0,sK6(sK15,X0))),sK15)
| ~ in(X0,sF16) ),
inference(forward_demodulation,[],[f311,f83]) ).
fof(f328,plain,
! [X0] :
( in(unordered_pair(singleton(sK3(sK15,X0)),unordered_pair(sK3(sK15,X0),X0)),relation_inverse(sK15))
| ~ relation(sK15)
| ~ in(X0,sF19) ),
inference(resolution,[],[f177,f293]) ).
fof(f330,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),X2)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_inverse(X2))
| ~ relation(X2) ),
inference(superposition,[],[f177,f83]) ).
fof(f331,plain,
! [X0] :
( in(unordered_pair(singleton(sK3(sK15,X0)),unordered_pair(sK3(sK15,X0),X0)),relation_inverse(sK15))
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f328,f122]) ).
fof(f332,plain,
! [X0] :
( in(unordered_pair(singleton(sK3(sK15,X0)),unordered_pair(sK3(sK15,X0),X0)),sF17)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f331,f155]) ).
fof(f333,plain,
! [X0] :
( in(unordered_pair(singleton(sK3(sK15,X0)),unordered_pair(X0,sK3(sK15,X0))),sF17)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f332,f83]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK4(X0,X1),X2),singleton(X2)),X0)
| relation_rng(X0) = X1
| ~ in(sK4(X0,X1),X1)
| ~ relation(X0) ),
inference(superposition,[],[f135,f83]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X2),unordered_pair(sK4(X0,X1),X2)),X0)
| relation_rng(X0) = X1
| ~ in(sK4(X0,X1),X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f335,f83]) ).
fof(f343,plain,
! [X0] :
( ~ in(X0,sF18)
| in(unordered_pair(singleton(sK3(sF17,X0)),unordered_pair(sK3(sF17,X0),X0)),relation_inverse(sF17))
| ~ relation(sF17) ),
inference(resolution,[],[f294,f177]) ).
fof(f344,plain,
! [X0] :
( ~ in(X0,sF18)
| in(unordered_pair(singleton(sK3(sF17,X0)),unordered_pair(sK3(sF17,X0),X0)),relation_inverse(sF17)) ),
inference(forward_subsumption_resolution,[],[f343,f179]) ).
fof(f353,plain,
! [X0] :
( in(unordered_pair(singleton(sK3(sF17,X0)),unordered_pair(sK3(sF17,X0),X0)),sK15)
| ~ in(X0,sF18) ),
inference(forward_demodulation,[],[f344,f196]) ).
fof(f354,plain,
! [X0] :
( in(unordered_pair(singleton(sK3(sF17,X0)),unordered_pair(X0,sK3(sF17,X0))),sK15)
| ~ in(X0,sF18) ),
inference(forward_demodulation,[],[f353,f83]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(sK1(X0,X1)),unordered_pair(sK1(X0,X1),X2)),X0)
| relation_dom(X0) = X1
| ~ in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(superposition,[],[f131,f83]) ).
fof(f365,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK1(sK15,X0),sK2(sK15,X0)),singleton(sK1(sK15,X0))),sK15)
| in(sK1(sK15,X0),X0)
| relation_dom(sK15) = X0 ),
inference(resolution,[],[f132,f122]) ).
fof(f368,plain,
! [X0] :
( in(unordered_pair(singleton(sK1(sK15,X0)),unordered_pair(sK1(sK15,X0),sK2(sK15,X0))),sK15)
| in(sK1(sK15,X0),X0)
| relation_dom(sK15) = X0 ),
inference(forward_demodulation,[],[f365,f83]) ).
fof(f373,plain,
! [X0] :
( in(unordered_pair(singleton(sK1(sK15,X0)),unordered_pair(sK1(sK15,X0),sK2(sK15,X0))),sK15)
| sF19 = X0
| in(sK1(sK15,X0),X0) ),
inference(forward_demodulation,[],[f368,f159]) ).
fof(f383,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK5(sK15,X0),sK4(sK15,X0)),singleton(sK5(sK15,X0))),sK15)
| in(sK4(sK15,X0),X0)
| relation_rng(sK15) = X0 ),
inference(resolution,[],[f136,f122]) ).
fof(f386,plain,
! [X0] :
( in(unordered_pair(singleton(sK5(sK15,X0)),unordered_pair(sK5(sK15,X0),sK4(sK15,X0))),sK15)
| in(sK4(sK15,X0),X0)
| relation_rng(sK15) = X0 ),
inference(forward_demodulation,[],[f383,f83]) ).
fof(f391,plain,
! [X0] :
( in(unordered_pair(singleton(sK5(sK15,X0)),unordered_pair(sK4(sK15,X0),sK5(sK15,X0))),sK15)
| in(sK4(sK15,X0),X0)
| relation_rng(sK15) = X0 ),
inference(forward_demodulation,[],[f386,f83]) ).
fof(f395,plain,
! [X0] :
( in(unordered_pair(singleton(sK5(sK15,X0)),unordered_pair(sK4(sK15,X0),sK5(sK15,X0))),sK15)
| sF16 = X0
| in(sK4(sK15,X0),X0) ),
inference(forward_demodulation,[],[f391,f153]) ).
fof(f621,plain,
! [X0] :
( in(sK1(sK15,X0),relation_dom(sK15))
| ~ relation(sK15)
| sF19 = X0
| in(sK1(sK15,X0),X0) ),
inference(resolution,[],[f277,f373]) ).
fof(f626,plain,
! [X0] :
( in(sK1(sK15,X0),relation_dom(sK15))
| sF19 = X0
| in(sK1(sK15,X0),X0) ),
inference(forward_subsumption_resolution,[],[f621,f122]) ).
fof(f630,plain,
! [X0] :
( in(sK1(sK15,X0),sF19)
| in(sK1(sK15,X0),X0)
| sF19 = X0 ),
inference(forward_demodulation,[],[f626,f159]) ).
fof(f674,plain,
! [X0] :
( in(X0,relation_rng(sF17))
| ~ relation(sF17)
| ~ in(X0,sF19) ),
inference(resolution,[],[f287,f333]) ).
fof(f675,plain,
! [X0] :
( in(X0,relation_rng(sK15))
| ~ relation(sK15)
| ~ in(X0,sF18) ),
inference(resolution,[],[f287,f354]) ).
fof(f678,plain,
! [X0] :
( in(sK4(sK15,X0),relation_rng(sK15))
| ~ relation(sK15)
| sF16 = X0
| in(sK4(sK15,X0),X0) ),
inference(resolution,[],[f287,f395]) ).
fof(f681,plain,
! [X0] :
( in(sK4(sK15,X0),relation_rng(sK15))
| sF16 = X0
| in(sK4(sK15,X0),X0) ),
inference(forward_subsumption_resolution,[],[f678,f122]) ).
fof(f684,plain,
! [X0] :
( in(X0,relation_rng(sK15))
| ~ in(X0,sF18) ),
inference(forward_subsumption_resolution,[],[f675,f122]) ).
fof(f685,plain,
! [X0] :
( in(X0,relation_rng(sF17))
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f674,f179]) ).
fof(f686,plain,
! [X0] :
( in(sK4(sK15,X0),sF16)
| in(sK4(sK15,X0),X0)
| sF16 = X0 ),
inference(forward_demodulation,[],[f681,f153]) ).
fof(f689,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sF16) ),
inference(forward_demodulation,[],[f684,f153]) ).
fof(f690,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,sF20) ),
inference(forward_demodulation,[],[f685,f161]) ).
fof(f705,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK6(sF17,X0))),relation_inverse(sF17))
| ~ relation(sF17)
| ~ in(X0,sF20) ),
inference(resolution,[],[f330,f312]) ).
fof(f706,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK6(sK15,X0))),relation_inverse(sK15))
| ~ relation(sK15)
| ~ in(X0,sF16) ),
inference(resolution,[],[f330,f313]) ).
fof(f711,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK6(sK15,X0))),relation_inverse(sK15))
| ~ in(X0,sF16) ),
inference(forward_subsumption_resolution,[],[f706,f122]) ).
fof(f712,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK6(sF17,X0))),relation_inverse(sF17))
| ~ in(X0,sF20) ),
inference(forward_subsumption_resolution,[],[f705,f179]) ).
fof(f716,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK6(sK15,X0))),sF17)
| ~ in(X0,sF16) ),
inference(forward_demodulation,[],[f711,f155]) ).
fof(f717,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK6(sF17,X0))),sK15)
| ~ in(X0,sF20) ),
inference(forward_demodulation,[],[f712,f196]) ).
fof(f732,plain,
! [X0] :
( relation_rng(sK15) = X0
| ~ in(sK4(sK15,X0),X0)
| ~ relation(sK15)
| ~ in(sK4(sK15,X0),sF16) ),
inference(resolution,[],[f338,f313]) ).
fof(f735,plain,
! [X0] :
( relation_rng(sK15) = X0
| ~ in(sK4(sK15,X0),X0)
| ~ in(sK4(sK15,X0),sF16) ),
inference(forward_subsumption_resolution,[],[f732,f122]) ).
fof(f739,plain,
! [X0] :
( ~ in(sK4(sK15,X0),sF16)
| ~ in(sK4(sK15,X0),X0)
| sF16 = X0 ),
inference(forward_demodulation,[],[f735,f153]) ).
fof(f748,plain,
! [X0] :
( relation_dom(sK15) = X0
| ~ in(sK1(sK15,X0),X0)
| ~ relation(sK15)
| ~ in(sK1(sK15,X0),sF19) ),
inference(resolution,[],[f358,f293]) ).
fof(f753,plain,
! [X0] :
( relation_dom(sK15) = X0
| ~ in(sK1(sK15,X0),X0)
| ~ in(sK1(sK15,X0),sF19) ),
inference(forward_subsumption_resolution,[],[f748,f122]) ).
fof(f755,plain,
! [X0] :
( ~ in(sK1(sK15,X0),sF19)
| ~ in(sK1(sK15,X0),X0)
| sF19 = X0 ),
inference(forward_demodulation,[],[f753,f159]) ).
fof(f901,plain,
! [X0] :
( ~ in(X0,sF16)
| in(X0,relation_dom(sF17))
| ~ relation(sF17) ),
inference(resolution,[],[f716,f277]) ).
fof(f904,plain,
! [X0] :
( ~ in(X0,sF16)
| in(X0,relation_dom(sF17)) ),
inference(forward_subsumption_resolution,[],[f901,f179]) ).
fof(f909,plain,
! [X0] :
( ~ in(X0,sF16)
| in(X0,sF18) ),
inference(forward_demodulation,[],[f904,f157]) ).
fof(f923,plain,
! [X0] :
( ~ in(X0,sF20)
| in(X0,relation_dom(sK15))
| ~ relation(sK15) ),
inference(resolution,[],[f717,f277]) ).
fof(f926,plain,
! [X0] :
( ~ in(X0,sF20)
| in(X0,relation_dom(sK15)) ),
inference(forward_subsumption_resolution,[],[f923,f122]) ).
fof(f930,plain,
! [X0] :
( ~ in(X0,sF20)
| in(X0,sF19) ),
inference(forward_demodulation,[],[f926,f159]) ).
fof(f1273,definition,
( spl21_42
<=> in(sK4(sK15,sF18),sF16) ),
introduced(definition,[new_symbols(definition,[spl21_42])],[avatar_definition]) ).
fof(f1274,plain,
( ~ in(sK4(sK15,sF18),sF16)
| spl21_42 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1275,plain,
( in(sK4(sK15,sF18),sF16)
| ~ spl21_42 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f2640,plain,
( in(sK4(sK15,sF18),sF16)
| in(sK4(sK15,sF18),sF16)
| sF16 = sF18 ),
inference(resolution,[],[f689,f686]) ).
fof(f2644,plain,
( in(sK4(sK15,sF18),sF16)
| sF16 = sF18 ),
inference(duplicate_literal_removal,[],[f2640]) ).
fof(f2797,plain,
( in(sK1(sK15,sF20),sF19)
| in(sK1(sK15,sF20),sF19)
| sF19 = sF20 ),
inference(resolution,[],[f930,f630]) ).
fof(f2803,plain,
( in(sK1(sK15,sF20),sF19)
| sF19 = sF20 ),
inference(duplicate_literal_removal,[],[f2797]) ).
fof(f3196,plain,
( sF16 = sF18
| spl21_42 ),
inference(forward_subsumption_resolution,[],[f2644,f1274]) ).
fof(f3274,plain,
( $false
| spl21_2
| spl21_42 ),
inference(forward_subsumption_resolution,[],[f3196,f170]) ).
fof(f3275,plain,
( spl21_2
| spl21_42 ),
inference(avatar_contradiction_clause,[],[f3274]) ).
fof(f3351,plain,
( ~ in(sK4(sK15,sF18),sF18)
| sF16 = sF18
| ~ spl21_42 ),
inference(resolution,[],[f1275,f739]) ).
fof(f3352,plain,
( in(sK4(sK15,sF18),sF18)
| ~ spl21_42 ),
inference(resolution,[],[f1275,f909]) ).
fof(f3359,plain,
( sF16 = sF18
| ~ spl21_42 ),
inference(forward_subsumption_resolution,[],[f3351,f3352]) ).
fof(f3360,plain,
( $false
| spl21_2
| ~ spl21_42 ),
inference(forward_subsumption_resolution,[],[f3359,f170]) ).
fof(f3361,plain,
( spl21_2
| ~ spl21_42 ),
inference(avatar_contradiction_clause,[],[f3360]) ).
fof(f3379,plain,
( in(sK1(sK15,sF20),sF19)
| spl21_1 ),
inference(forward_subsumption_resolution,[],[f2803,f166]) ).
fof(f4103,plain,
( ~ in(sK1(sK15,sF20),sF20)
| sF19 = sF20
| spl21_1 ),
inference(resolution,[],[f3379,f755]) ).
fof(f4104,plain,
( in(sK1(sK15,sF20),sF20)
| spl21_1 ),
inference(resolution,[],[f3379,f690]) ).
fof(f4111,plain,
( sF19 = sF20
| spl21_1 ),
inference(forward_subsumption_resolution,[],[f4103,f4104]) ).
fof(f4112,plain,
( $false
| spl21_1 ),
inference(forward_subsumption_resolution,[],[f4111,f166]) ).
fof(f4113,plain,
spl21_1,
inference(avatar_contradiction_clause,[],[f4112]) ).
cnf(s1,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f171]) ).
cnf(s143,plain,
( spl21_2
| spl21_42 ),
inference(sat_conversion,[],[f3275]) ).
cnf(s154,plain,
( spl21_2
| ~ spl21_42 ),
inference(sat_conversion,[],[f3361]) ).
cnf(s177,plain,
spl21_1,
inference(sat_conversion,[],[f4113]) ).
cnf(s179,plain,
~ spl21_2,
inference(rat,[],[s1,s177]) ).
cnf(s180,plain,
~ spl21_42,
inference(rat,[],[s154,s179]) ).
cnf(s181,plain,
$false,
inference(rat,[],[s143,s180,s179]) ).
fof(f4114,plain,
$false,
inference(avatar_sat_refutation,[],[s181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU181+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:54:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/0.81 % (787930)Will run a generic schedule for satisfiability detection.
% 1.94/0.81 % (787938)dis+10_1_sil=32000:sp=arity:random_seed=3700228752:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.94/0.81 % (787936)% WARNING: option uhcvi not known.
% 1.94/0.81 % (787936)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1799521986:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.94/0.81 % (787937)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3785399372:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.94/0.81 % (787939)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3229582452:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.94/0.81 % (787941)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=156019138:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.94/0.81 % (787940)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3187881245:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.81 % (787935)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=734810326_2999 on theBenchmark for (2999ds/0Mi)
% 1.94/0.81 % TRYING [1]
% 1.94/0.81 % TRYING [2]
% 1.94/0.81 % TRYING [3]
% 1.94/0.81 % TRYING [4]
% 1.94/0.81 % (787938)Instruction limit reached!
% 1.94/0.81 % (787938)------------------------------
% 1.94/0.81 % (787938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.81 % (787938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.81 % (787938)CaDiCaL version: 2.1.3
% 1.94/0.81 % (787938)Termination reason: Instruction limit
% 1.94/0.81 % (787938)Termination phase: Saturation
% 1.94/0.81 % (787938)Time elapsed: 0.038 s
% 1.94/0.81 % (787938)Peak memory usage: 12 MB
% 1.94/0.81 % (787938)Instructions burned: 104 (million)
% 1.94/0.81 % (787949)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=110066507:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.94/0.81 % TRYING [1]
% 1.94/0.81 % TRYING [2]
% 1.94/0.81 % TRYING [3]
% 1.94/0.81 % TRYING [5]
% 1.94/0.81 % TRYING [4]
% 1.94/0.81 % TRYING [5]
% 1.94/0.81 % (787940)Instruction limit reached!
% 1.94/0.81 % (787940)------------------------------
% 1.94/0.81 % (787940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.81 % (787940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.81 % (787940)CaDiCaL version: 2.1.3
% 1.94/0.81 % (787940)Termination reason: Instruction limit
% 1.94/0.81 % (787940)Termination phase: Saturation
% 1.94/0.81 % (787940)Time elapsed: 0.070 s
% 1.94/0.81 % (787940)Peak memory usage: 12 MB
% 1.94/0.81 % (787940)Instructions burned: 131 (million)
% 1.94/0.81 % (787939)Instruction limit reached!
% 1.94/0.81 % (787939)------------------------------
% 1.94/0.81 % (787939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.81 % (787939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.81 % (787939)CaDiCaL version: 2.1.3
% 1.94/0.81 % (787939)Termination reason: Instruction limit
% 1.94/0.81 % (787939)Termination phase: Saturation
% 1.94/0.81 % (787939)Time elapsed: 0.074 s
% 1.94/0.81 % (787939)Peak memory usage: 12 MB
% 1.94/0.81 % (787939)Instructions burned: 117 (million)
% 1.94/0.81 % (787951)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2530483334:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.94/0.81 % (787952)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=3752131756:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.94/0.81 % (787941)Instruction limit reached!
% 1.94/0.81 % (787941)------------------------------
% 1.94/0.81 % (787941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.81 % (787941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.81 % (787941)CaDiCaL version: 2.1.3
% 1.94/0.81 % (787941)Termination reason: Instruction limit
% 1.94/0.81 % (787941)Termination phase: Saturation
% 1.94/0.81 % (787941)Time elapsed: 0.101 s
% 1.94/0.81 % (787941)Peak memory usage: 14 MB
% 1.94/0.81 % (787941)Instructions burned: 159 (million)
% 1.94/0.81 % TRYING [6]
% 1.94/0.81 % (787955)ott-21_1_sil=16000:fs=off:random_seed=1488957900:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.94/0.81 % TRYING [6]
% 1.94/0.81 % (787951)Instruction limit reached!
% 1.94/0.81 % (787951)------------------------------
% 1.94/0.81 % (787951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.81 % (787951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.81 % (787951)CaDiCaL version: 2.1.3
% 1.94/0.81 % (787951)Termination reason: Instruction limit
% 1.94/0.81 % (787951)Termination phase: Saturation
% 1.94/0.81 % (787951)Time elapsed: 0.081 s
% 1.94/0.81 % (787951)Peak memory usage: 13 MB
% 1.94/0.81 % (787951)Instructions burned: 131 (million)
% 1.94/0.81 % (787949)Instruction limit reached!
% 1.94/0.81 % (787949)------------------------------
% 1.94/0.81 % (787949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.81 % (787949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.81 % (787949)CaDiCaL version: 2.1.3
% 1.94/0.81 % (787949)Termination reason: Instruction limit
% 1.94/0.81 % (787949)Termination phase: Finite model building SAT solving
% 1.94/0.81 % (787949)Time elapsed: 0.146 s
% 1.94/0.81 % (787949)Peak memory usage: 34 MB
% 1.94/0.81 % (787949)Instructions burned: 716 (million)
% 1.94/0.81 % (787957)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2656119034:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.94/0.81 % (787958)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4271903555:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.94/0.81 % TRYING [1]
% 1.94/0.81 % TRYING [2]
% 1.94/0.81 % TRYING [3]
% 1.94/0.81 % TRYING [4]
% 1.94/0.81 % (787955)Instruction limit reached!
% 1.94/0.81 % (787955)------------------------------
% 1.94/0.81 % (787955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.81 % (787955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.81 % (787955)CaDiCaL version: 2.1.3
% 1.94/0.81 % (787955)Termination reason: Instruction limit
% 1.94/0.81 % (787955)Termination phase: Saturation
% 1.94/0.81 % (787955)Time elapsed: 0.095 s
% 1.94/0.81 % (787955)Peak memory usage: 13 MB
% 1.94/0.81 % (787955)Instructions burned: 180 (million)
% 1.94/0.81 % (787961)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2049256021:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.94/0.81 % TRYING [5]
% 1.94/0.81 % TRYING [7]
% 1.94/0.81 % (787961) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-787930-787961"...
% 1.94/0.81 % (787961)...printing done.
% 1.94/0.81 % (787961)Refutation found. Thanks to Tanya!
% 1.94/0.81 % SZS status Theorem for theBenchmark
% 1.94/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.81 % (787961)------------------------------
% 1.94/0.81 % (787961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.81 % (787961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.81 % (787961)CaDiCaL version: 2.1.3
% 1.94/0.81 % (787961)Termination reason: Refutation
% 1.94/0.81 % (787961)Time elapsed: 0.101 s
% 1.94/0.81 % (787961)Peak memory usage: 14 MB
% 1.94/0.81 % (787961)Instructions burned: 155 (million)
% 1.94/0.81 % (787930)Success in time 0.382 s
% 1.94/0.81 % Vampire exiting
%------------------------------------------------------------------------------