%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU214+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 : n006.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 12:52:24 PM UTC 2026
% Result : Theorem 9.53s 3.82s
% Output : Refutation 9.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 105 ( 31 unt; 5 def)
% Number of atoms : 420 ( 77 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 540 ( 225 ~; 227 |; 59 &)
% ( 14 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-4 aty)
% Number of variables : 224 ( 200 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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)
& function(X0) )
=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) )
& ( ~ in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> X2 = empty_set ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f6,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(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)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f15,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f20,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& relation(X1)
& function(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f36,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f51,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f52,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f51]) ).
fof(f55,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f56,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f55]) ).
fof(f63,plain,
? [X0,X1] :
( ? [X2] :
( apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
& in(X0,relation_dom(relation_composition(X2,X1)))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f64,plain,
? [X0,X1] :
( ? [X2] :
( apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
& in(X0,relation_dom(relation_composition(X2,X1)))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f63]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( X2 = apply(X0,X1)
| ~ in(ordered_pair(X1,X2),X0) )
& ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 ) )
| ~ in(X1,relation_dom(X0)) )
& ( ( ( X2 = apply(X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| apply(X0,X1) != X2 ) )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f71,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,[],[f49]) ).
fof(f72,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,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK0(X0,X1),X3),X0)
| ~ in(sK0(X0,X1),X1) )
& ( in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK2(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0,X1)),skolemize(X4,sK1(X0,X1)),skolemize(X7,sK2(X0,X5))],[f72]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) ) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X3,X6),X0)
& in(ordered_pair(X6,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ? [X10] :
( in(ordered_pair(X7,X10),X0)
& in(ordered_pair(X10,X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ( ( ! [X5] :
( ~ in(ordered_pair(sK3(X0,X1,X2),X5),X0)
| ~ in(ordered_pair(X5,sK4(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK3(X0,X1,X2),sK5(X0,X1,X2)),X0)
& in(ordered_pair(sK5(X0,X1,X2),sK4(X0,X1,X2)),X1) )
| in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ( in(ordered_pair(X7,sK6(X0,X1,X7,X8)),X0)
& in(ordered_pair(sK6(X0,X1,X7,X8),X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2)),skolemize(X6,sK5(X0,X1,X2)),skolemize(X10,sK6(X0,X1,X7,X8))],[f75]) ).
fof(f84,plain,
( apply(relation_composition(sK16,sK15),sK14) != apply(sK15,apply(sK16,sK14))
& in(sK14,relation_dom(relation_composition(sK16,sK15)))
& relation(sK16)
& function(sK16)
& relation(sK15)
& function(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16)],[f64]) ).
fof(f88,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f91,plain,
! [X2,X0,X1] :
( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2
| ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f92,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f94,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f97,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f98,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(sK6(X0,X1,X7,X8),X8),X1)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f99,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X7,sK6(X0,X1,X7,X8)),X0)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f104,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f110,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f133,plain,
function(sK15),
inference(cnf_transformation,[],[f84]) ).
fof(f134,plain,
relation(sK15),
inference(cnf_transformation,[],[f84]) ).
fof(f135,plain,
function(sK16),
inference(cnf_transformation,[],[f84]) ).
fof(f136,plain,
relation(sK16),
inference(cnf_transformation,[],[f84]) ).
fof(f137,plain,
in(sK14,relation_dom(relation_composition(sK16,sK15))),
inference(cnf_transformation,[],[f84]) ).
fof(f138,plain,
apply(relation_composition(sK16,sK15),sK14) != apply(sK15,apply(sK16,sK14)),
inference(cnf_transformation,[],[f84]) ).
fof(f143,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(definition_unfolding,[],[f92,f97]) ).
fof(f144,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| apply(X0,X1) != X2
| ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(definition_unfolding,[],[f91,f97]) ).
fof(f147,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,[],[f94,f97]) ).
fof(f153,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK6(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f99,f97,f97]) ).
fof(f154,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK6(X0,X1,X7,X8),X8),singleton(sK6(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f98,f97,f97]) ).
fof(f156,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X1,apply(X0,X1)),singleton(X1)),X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f159,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f147]) ).
fof(f162,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK6(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f163,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK6(X0,X1,X7,X8),X8),singleton(sK6(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f164,definition,
sF17 = relation_composition(sK16,sK15),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f165,plain,
relation_composition(sK16,sK15) = sF17,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF18 = apply(sF17,sK14),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f167,plain,
apply(sF17,sK14) = sF18,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF19 = apply(sK16,sK14),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f169,plain,
apply(sK16,sK14) = sF19,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF20 = apply(sK15,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f171,plain,
apply(sK15,sF19) = sF20,
inference(reorient_equations,[],[f170]) ).
fof(f172,plain,
sF18 != sF20,
inference(definition_folding,[],[f138,f171,f169,f167,f165]) ).
fof(f173,definition,
sF21 = relation_dom(sF17),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f174,plain,
relation_dom(sF17) = sF21,
inference(reorient_equations,[],[f173]) ).
fof(f175,plain,
in(sK14,sF21),
inference(definition_folding,[],[f137,f174,f165]) ).
fof(f176,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK6(X0,X1,X7,X8),X8),singleton(sK6(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f163,f104]) ).
fof(f177,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK6(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f162,f104]) ).
fof(f179,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f143,f159]) ).
fof(f180,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(singleton(sK6(X0,X1,X7,X8)),unordered_pair(sK6(X0,X1,X7,X8),X8)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f176,f88]) ).
fof(f181,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(singleton(X7),unordered_pair(X7,sK6(X0,X1,X7,X8))),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f177,f88]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| apply(X0,X1) = X2
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_demodulation,[],[f179,f88]) ).
fof(f184,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(singleton(sK6(X0,X1,X7,X8)),unordered_pair(X8,sK6(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f180,f88]) ).
fof(f185,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(singleton(X7),unordered_pair(X7,sK6(X0,X1,X7,X8))),X0)
| ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f181,f88]) ).
fof(f187,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(singleton(sK6(X0,X1,X7,X8)),unordered_pair(X8,sK6(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f184,f88]) ).
fof(f233,plain,
( relation(sF17)
| ~ relation(sK16)
| ~ relation(sK15) ),
inference(superposition,[],[f104,f165]) ).
fof(f234,plain,
( relation(sF17)
| ~ relation(sK15) ),
inference(forward_subsumption_resolution,[],[f233,f136]) ).
fof(f235,plain,
relation(sF17),
inference(forward_subsumption_resolution,[],[f234,f134]) ).
fof(f265,plain,
( function(sF17)
| ~ relation(sK16)
| ~ function(sK16)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f110,f165]) ).
fof(f266,plain,
( function(sF17)
| ~ function(sK16)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f265,f136]) ).
fof(f267,plain,
( function(sF17)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f266,f135]) ).
fof(f268,plain,
( function(sF17)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f267,f134]) ).
fof(f269,plain,
function(sF17),
inference(forward_subsumption_resolution,[],[f268,f133]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),X2)
| apply(X2,X1) = X0
| ~ relation(X2)
| ~ function(X2) ),
inference(superposition,[],[f183,f88]) ).
fof(f318,plain,
( in(unordered_pair(unordered_pair(sK14,sF18),singleton(sK14)),sF17)
| ~ in(sK14,relation_dom(sF17))
| ~ relation(sF17)
| ~ function(sF17) ),
inference(superposition,[],[f156,f167]) ).
fof(f328,plain,
( in(unordered_pair(unordered_pair(sK14,sF18),singleton(sK14)),sF17)
| ~ in(sK14,relation_dom(sF17))
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f318,f235]) ).
fof(f334,plain,
( in(unordered_pair(unordered_pair(sK14,sF18),singleton(sK14)),sF17)
| ~ in(sK14,relation_dom(sF17)) ),
inference(forward_subsumption_resolution,[],[f328,f269]) ).
fof(f338,plain,
( in(unordered_pair(singleton(sK14),unordered_pair(sK14,sF18)),sF17)
| ~ in(sK14,relation_dom(sF17)) ),
inference(forward_demodulation,[],[f334,f88]) ).
fof(f340,plain,
( ~ in(sK14,sF21)
| in(unordered_pair(singleton(sK14),unordered_pair(sK14,sF18)),sF17) ),
inference(forward_demodulation,[],[f338,f174]) ).
fof(f342,plain,
in(unordered_pair(singleton(sK14),unordered_pair(sK14,sF18)),sF17),
inference(forward_subsumption_resolution,[],[f340,f175]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| apply(X2,X0) = sK6(X2,X3,X0,X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(resolution,[],[f185,f183]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| apply(X2,X0) = sK6(X2,X3,X0,X1)
| ~ function(X2) ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f1123,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| ~ relation(sK15)
| ~ relation(sK16)
| apply(sK16,X0) = sK6(sK16,sK15,X0,X1)
| ~ function(sK16) ),
inference(superposition,[],[f378,f165]) ).
fof(f1128,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| ~ relation(sK16)
| apply(sK16,X0) = sK6(sK16,sK15,X0,X1)
| ~ function(sK16) ),
inference(forward_subsumption_resolution,[],[f1123,f134]) ).
fof(f1139,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| apply(sK16,X0) = sK6(sK16,sK15,X0,X1)
| ~ function(sK16) ),
inference(forward_subsumption_resolution,[],[f1128,f136]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| apply(sK16,X0) = sK6(sK16,sK15,X0,X1) ),
inference(forward_subsumption_resolution,[],[f1139,f135]) ).
fof(f2195,plain,
apply(sK16,sK14) = sK6(sK16,sK15,sK14,sF18),
inference(resolution,[],[f1146,f342]) ).
fof(f2220,plain,
sF19 = sK6(sK16,sK15,sK14,sF18),
inference(forward_demodulation,[],[f2195,f169]) ).
fof(f2229,plain,
( in(unordered_pair(singleton(sF19),unordered_pair(sF18,sF19)),sK15)
| ~ in(unordered_pair(singleton(sK14),unordered_pair(sK14,sF18)),relation_composition(sK16,sK15))
| ~ relation(sK15)
| ~ relation(sK16) ),
inference(superposition,[],[f187,f2220]) ).
fof(f2232,plain,
( in(unordered_pair(singleton(sF19),unordered_pair(sF18,sF19)),sK15)
| ~ in(unordered_pair(singleton(sK14),unordered_pair(sK14,sF18)),relation_composition(sK16,sK15))
| ~ relation(sK16) ),
inference(forward_subsumption_resolution,[],[f2229,f134]) ).
fof(f2238,plain,
( in(unordered_pair(singleton(sF19),unordered_pair(sF18,sF19)),sK15)
| ~ in(unordered_pair(singleton(sK14),unordered_pair(sK14,sF18)),relation_composition(sK16,sK15)) ),
inference(forward_subsumption_resolution,[],[f2232,f136]) ).
fof(f2244,plain,
( ~ in(unordered_pair(singleton(sK14),unordered_pair(sK14,sF18)),sF17)
| in(unordered_pair(singleton(sF19),unordered_pair(sF18,sF19)),sK15) ),
inference(forward_demodulation,[],[f2238,f165]) ).
fof(f2250,plain,
in(unordered_pair(singleton(sF19),unordered_pair(sF18,sF19)),sK15),
inference(forward_subsumption_resolution,[],[f2244,f342]) ).
fof(f2418,plain,
( sF18 = apply(sK15,sF19)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(resolution,[],[f2250,f313]) ).
fof(f2424,plain,
( sF18 = apply(sK15,sF19)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f2418,f134]) ).
fof(f2425,plain,
sF18 = apply(sK15,sF19),
inference(forward_subsumption_resolution,[],[f2424,f133]) ).
fof(f2582,plain,
sF18 = sF20,
inference(superposition,[],[f171,f2425]) ).
fof(f2591,plain,
$false,
inference(forward_subsumption_resolution,[],[f2582,f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU214+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n006.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 04:05:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 13.90/2.41 % (3566985)Will run a generic schedule for satisfiability detection.
% 13.90/2.41 % (3566993)dis+10_1_sil=32000:sp=arity:random_seed=4262595518:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.90/2.41 % (3566991)% WARNING: option uhcvi not known.
% 13.90/2.41 % (3566990)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2729833210_2999 on theBenchmark for (2999ds/0Mi)
% 13.90/2.41 % (3566995)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3873766488:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.90/2.41 % (3566991)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=487132127:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.90/2.41 % (3566992)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3432219791:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.90/2.41 % (3566994)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1000964604:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.90/2.41 % (3566996)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1303197843:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.90/2.41 % TRYING [1]
% 13.90/2.41 % TRYING [2]
% 13.90/2.41 % TRYING [3]
% 13.90/2.41 % (3566993)Instruction limit reached!
% 13.90/2.41 % (3566993)------------------------------
% 13.90/2.41 % (3566993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.41 % (3566993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.41 % (3566993)CaDiCaL version: 2.1.3
% 13.90/2.41 % (3566993)Termination reason: Instruction limit
% 13.90/2.41 % (3566993)Termination phase: Saturation
% 13.90/2.41 % (3566993)Time elapsed: 0.034 s
% 13.90/2.41 % (3566993)Peak memory usage: 12 MB
% 13.90/2.41 % (3566993)Instructions burned: 105 (million)
% 13.90/2.41 % (3567004)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=990184819:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.90/2.41 % TRYING [1]
% 13.90/2.41 % TRYING [2]
% 13.90/2.41 % TRYING [3]
% 13.90/2.41 % TRYING [4]
% 13.90/2.41 % TRYING [4]
% 13.90/2.41 % (3566995)Instruction limit reached!
% 13.90/2.41 % (3566995)------------------------------
% 13.90/2.41 % (3566995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.41 % (3566995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.41 % (3566995)CaDiCaL version: 2.1.3
% 13.90/2.41 % (3566995)Termination reason: Instruction limit
% 13.90/2.41 % (3566995)Termination phase: Saturation
% 13.90/2.41 % (3566995)Time elapsed: 0.070 s
% 13.90/2.41 % (3566995)Peak memory usage: 13 MB
% 13.90/2.41 % (3566995)Instructions burned: 132 (million)
% 13.90/2.41 % (3566994)Instruction limit reached!
% 13.90/2.41 % (3566994)------------------------------
% 13.90/2.41 % (3566994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.41 % (3566994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.41 % (3566994)CaDiCaL version: 2.1.3
% 13.90/2.41 % (3566994)Termination reason: Instruction limit
% 13.90/2.41 % (3566994)Termination phase: Saturation
% 13.90/2.41 % (3566994)Time elapsed: 0.071 s
% 13.90/2.41 % (3566994)Peak memory usage: 13 MB
% 13.90/2.41 % (3566994)Instructions burned: 116 (million)
% 13.90/2.41 % (3567006)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2203744233:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.90/2.41 % (3567007)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=2207977212:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.90/2.41 % (3566996)Instruction limit reached!
% 13.90/2.41 % (3566996)------------------------------
% 13.90/2.41 % (3566996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.41 % (3566996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.41 % (3566996)CaDiCaL version: 2.1.3
% 13.90/2.41 % (3566996)Termination reason: Instruction limit
% 13.90/2.41 % (3566996)Termination phase: Saturation
% 13.90/2.41 % (3566996)Time elapsed: 0.099 s
% 13.90/2.41 % (3566996)Peak memory usage: 14 MB
% 13.90/2.41 % (3566996)Instructions burned: 160 (million)
% 13.90/2.41 % (3567010)ott-21_1_sil=16000:fs=off:random_seed=1863662161:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.90/2.41 % (3567006)Instruction limit reached!
% 13.90/2.41 % (3567006)------------------------------
% 13.90/2.41 % (3567006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.41 % (3567006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567006)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567006)Termination reason: Instruction limit
% 9.53/3.82 % (3567006)Termination phase: Saturation
% 9.53/3.82 % (3567006)Time elapsed: 0.081 s
% 9.53/3.82 % (3567006)Peak memory usage: 14 MB
% 9.53/3.82 % (3567006)Instructions burned: 131 (million)
% 9.53/3.82 % (3567012)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3140709440:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 9.53/3.82 % (3567010)Instruction limit reached!
% 9.53/3.82 % (3567010)------------------------------
% 9.53/3.82 % (3567010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567010)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567010)Termination reason: Instruction limit
% 9.53/3.82 % (3567010)Termination phase: Saturation
% 9.53/3.82 % (3567010)Time elapsed: 0.097 s
% 9.53/3.82 % (3567010)Peak memory usage: 12 MB
% 9.53/3.82 % (3567010)Instructions burned: 180 (million)
% 9.53/3.82 % (3567014)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2270762304:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.53/3.82 % (3567004)Instruction limit reached!
% 9.53/3.82 % (3567004)------------------------------
% 9.53/3.82 % (3567004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567004)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567004)Termination reason: Instruction limit
% 9.53/3.82 % (3567004)Termination phase: Finite model building SAT solving
% 9.53/3.82 % (3567004)Time elapsed: 0.204 s
% 9.53/3.82 % (3567004)Peak memory usage: 23 MB
% 9.53/3.82 % (3567004)Instructions burned: 717 (million)
% 9.53/3.82 % TRYING [1]
% 9.53/3.82 % TRYING [2]
% 9.53/3.82 % (3567016)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=204077802:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 9.53/3.82 % TRYING [3]
% 9.53/3.82 % TRYING [4]
% 9.53/3.82 % (3567007)Instruction limit reached!
% 9.53/3.82 % (3567007)------------------------------
% 9.53/3.82 % (3567007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567007)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567007)Termination reason: Instruction limit
% 9.53/3.82 % (3567007)Termination phase: Saturation
% 9.53/3.82 % (3567007)Time elapsed: 0.354 s
% 9.53/3.82 % (3567007)Peak memory usage: 17 MB
% 9.53/3.82 % (3567007)Instructions burned: 685 (million)
% 9.53/3.82 % (3567018)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3304172771:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 9.53/3.82 % (3567012)Instruction limit reached!
% 9.53/3.82 % (3567012)------------------------------
% 9.53/3.82 % (3567012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567012)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567012)Termination reason: Instruction limit
% 9.53/3.82 % (3567012)Termination phase: Saturation
% 9.53/3.82 % (3567012)Time elapsed: 0.313 s
% 9.53/3.82 % (3567012)Peak memory usage: 14 MB
% 9.53/3.82 % (3567012)Instructions burned: 478 (million)
% 9.53/3.82 % (3567020)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3246880925:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 9.53/3.82 % (3567014)Instruction limit reached!
% 9.53/3.82 % (3567014)------------------------------
% 9.53/3.82 % (3567014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567014)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567014)Termination reason: Instruction limit
% 9.53/3.82 % (3567014)Termination phase: Finite model building SAT solving
% 9.53/3.82 % (3567014)Time elapsed: 0.344 s
% 9.53/3.82 % (3567014)Peak memory usage: 24 MB
% 9.53/3.82 % (3567014)Instructions burned: 866 (million)
% 9.53/3.82 % (3567016)Instruction limit reached!
% 9.53/3.82 % (3567016)------------------------------
% 9.53/3.82 % (3567016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567016)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567016)Termination reason: Instruction limit
% 9.53/3.82 % (3567016)Termination phase: Saturation
% 9.53/3.82 % (3567016)Time elapsed: 0.330 s
% 9.53/3.82 % (3567016)Peak memory usage: 25 MB
% 9.53/3.82 % (3567016)Instructions burned: 1179 (million)
% 9.53/3.82 % (3567023)fmb+10_1_sil=64000:random_seed=4084077619:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 9.53/3.82 % TRYING [1]
% 9.53/3.82 % TRYING [2]
% 9.53/3.82 % (3567022)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1749873723:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 9.53/3.82 % TRYING [3]
% 9.53/3.82 % TRYING [4]
% 9.53/3.82 % (3567018)Instruction limit reached!
% 9.53/3.82 % (3567018)------------------------------
% 9.53/3.82 % (3567018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567018)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567018)Termination reason: Instruction limit
% 9.53/3.82 % (3567018)Termination phase: Finite model building constraint generation
% 9.53/3.82 % (3567018)Time elapsed: 0.403 s
% 9.53/3.82 % (3567018)Peak memory usage: 106 MB
% 9.53/3.82 % (3567018)Instructions burned: 889 (million)
% 9.53/3.82 % (3567026)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=23723608:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 9.53/3.82 % (3567020)Instruction limit reached!
% 9.53/3.82 % (3567020)------------------------------
% 9.53/3.82 % (3567020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567020)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567020)Termination reason: Instruction limit
% 9.53/3.82 % (3567020)Termination phase: Saturation
% 9.53/3.82 % (3567020)Time elapsed: 0.381 s
% 9.53/3.82 % (3567020)Peak memory usage: 23 MB
% 9.53/3.82 % (3567020)Instructions burned: 694 (million)
% 9.53/3.82 % TRYING [20]
% 9.53/3.82 % (3567028)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=390940261:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 9.53/3.82 % TRYING [8]
% 9.53/3.82 % (3567022)Instruction limit reached!
% 9.53/3.82 % (3567022)------------------------------
% 9.53/3.82 % (3567022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567022)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567022)Termination reason: Instruction limit
% 9.53/3.82 % (3567022)Termination phase: Saturation
% 9.53/3.82 % (3567022)Time elapsed: 0.483 s
% 9.53/3.82 % (3567022)Peak memory usage: 20 MB
% 9.53/3.82 % (3567022)Instructions burned: 879 (million)
% 9.53/3.82 % (3567030)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=626026299:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 9.53/3.82 % (3567028)Instruction limit reached!
% 9.53/3.82 % (3567028)------------------------------
% 9.53/3.82 % (3567028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567028)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567028)Termination reason: Instruction limit
% 9.53/3.82 % (3567028)Termination phase: Finite model building constraint generation
% 9.53/3.82 % (3567028)Time elapsed: 0.306 s
% 9.53/3.82 % (3567028)Peak memory usage: 62 MB
% 9.53/3.82 % (3567028)Instructions burned: 921 (million)
% 9.53/3.82 % (3567032)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1890066373:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 9.53/3.82 % (3567032)Instruction limit reached!
% 9.53/3.82 % (3567032)------------------------------
% 9.53/3.82 % (3567032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567032)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567032)Termination reason: Instruction limit
% 9.53/3.82 % (3567032)Termination phase: Saturation
% 9.53/3.82 % (3567032)Time elapsed: 0.646 s
% 9.53/3.82 % (3567032)Peak memory usage: 24 MB
% 9.53/3.82 % (3567032)Instructions burned: 1472 (million)
% 9.53/3.82 % (3567034)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3658298099:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 9.53/3.82 % (3567034)Cannot represent all propositional literals internally
% 9.53/3.82 % (3567034)Refutation not found, incomplete strategy
% 9.53/3.82 % (3567034)------------------------------
% 9.53/3.82 % (3567034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567034)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567034)Termination reason: Refutation not found, incomplete strategy
% 9.53/3.82 % (3567034)Time elapsed: 0.007 s
% 9.53/3.82 % (3567034)Peak memory usage: 11 MB
% 9.53/3.82 % (3567034)Instructions burned: 13 (million)
% 9.53/3.82 % (3567034)------------------------------
% 9.53/3.82 % (3567034)------------------------------
% 9.53/3.82 % (3567036)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1770443821:fmbsr=2.30978:i=2174_2980 on theBenchmark for (2980ds/2174Mi)
% 9.53/3.82 % TRYING [16]
% 9.53/3.82 % (3567036)Instruction limit reached!
% 9.53/3.82 % (3567036)------------------------------
% 9.53/3.82 % (3567036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567036)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567036)Termination reason: Instruction limit
% 9.53/3.82 % (3567036)Termination phase: Finite model building constraint generation
% 9.53/3.82 % (3567036)Time elapsed: 0.733 s
% 9.53/3.82 % (3567036)Peak memory usage: 132 MB
% 9.53/3.82 % (3567036)Instructions burned: 2176 (million)
% 9.53/3.82 % (3567038)ott-2_1_sil=16000:newcnf=on:random_seed=412343388:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2972 on theBenchmark for (2972ds/869Mi)
% 9.53/3.82 % (3567038)Instruction limit reached!
% 9.53/3.82 % (3567038)------------------------------
% 9.53/3.82 % (3567038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567038)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567038)Termination reason: Instruction limit
% 9.53/3.82 % (3567038)Termination phase: Saturation
% 9.53/3.82 % (3567038)Time elapsed: 0.453 s
% 9.53/3.82 % (3567038)Peak memory usage: 19 MB
% 9.53/3.82 % (3567038)Instructions burned: 870 (million)
% 9.53/3.82 % (3567040)ott+10_1_sil=32000:tgt=ground:random_seed=2387902428:i=5114:av=off_2967 on theBenchmark for (2967ds/5114Mi)
% 9.53/3.82 % (3567040) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3566985-3567040"...
% 9.53/3.82 % (3567040)...printing done.
% 9.53/3.82 % (3567040)Refutation found. Thanks to Tanya!
% 9.53/3.82 % SZS status Theorem for theBenchmark
% 9.53/3.82 % SZS output start Proof for theBenchmark
% See solution above
% 9.53/3.82 % (3567040)------------------------------
% 9.53/3.82 % (3567040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.53/3.82 % (3567040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/3.82 % (3567040)CaDiCaL version: 2.1.3
% 9.53/3.82 % (3567040)Termination reason: Refutation
% 9.53/3.82 % (3567040)Time elapsed: 0.085 s
% 9.53/3.82 % (3567040)Peak memory usage: 13 MB
% 9.53/3.82 % (3567040)Instructions burned: 140 (million)
% 9.53/3.82 % (3566985)Success in time 3.392 s
% 9.53/3.82 % Vampire exiting
%------------------------------------------------------------------------------