%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU061+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:51:52 PM UTC 2026
% Result : Theorem 3.47s 0.90s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 166 ( 31 unt; 10 def)
% Number of atoms : 498 ( 106 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 573 ( 241 ~; 253 |; 51 &)
% ( 20 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 217 ( 0 sgn 188 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f7,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f9,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(f10,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(f11,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f16,axiom,
! [X0] : ~ empty(singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(f22,axiom,
? [X0] :
( empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f25,axiom,
? [X0] :
( relation(X0)
& empty(X0)
& function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f32,conjecture,
! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> relation_inverse_image(X1,singleton(X0)) != empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_funct_1) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> relation_inverse_image(X1,singleton(X0)) != empty_set ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f35,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f39,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f59,plain,
? [X0,X1] :
( ( in(X0,relation_rng(X1))
<~> relation_inverse_image(X1,singleton(X0)) != empty_set )
& relation(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f60,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f61,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f62,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f61]) ).
fof(f67,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X6,X8),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(sK0(X0,X1,X2),X4),X0)
| ~ in(X4,X1) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
& in(sK2(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f74,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f74]) ).
fof(f76,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f77,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ( X0 = empty_set
| in(sK4(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f77]) ).
fof(f79,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,[],[f54]) ).
fof(f80,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,[],[f79]) ).
fof(f81,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))],[f80]) ).
fof(f82,plain,
! [X0] : element(sK8(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f11]) ).
fof(f84,plain,
( empty(sK10)
& relation(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f22]) ).
fof(f87,plain,
( relation(sK13)
& empty(sK13)
& function(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f25]) ).
fof(f93,plain,
? [X0,X1] :
( ( empty_set = relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( relation_inverse_image(X1,singleton(X0)) != empty_set
| in(X0,relation_rng(X1)) )
& relation(X1) ),
inference(nnf_transformation,[],[f59]) ).
fof(f94,plain,
? [X0,X1] :
( ( empty_set = relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( relation_inverse_image(X1,singleton(X0)) != empty_set
| in(X0,relation_rng(X1)) )
& relation(X1) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
( ( empty_set = relation_inverse_image(sK20,singleton(sK19))
| ~ in(sK19,relation_rng(sK20)) )
& ( empty_set != relation_inverse_image(sK20,singleton(sK19))
| in(sK19,relation_rng(sK20)) )
& relation(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f94]) ).
fof(f102,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f103,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f104,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f108,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f109,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f112,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f113,plain,
! [X0] :
( in(sK4(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f114,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f115,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f118,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f119,plain,
! [X0] : element(sK8(X0),X0),
inference(cnf_transformation,[],[f82]) ).
fof(f125,plain,
! [X0] : ~ empty(singleton(X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f135,plain,
empty(sK10),
inference(cnf_transformation,[],[f84]) ).
fof(f140,plain,
empty(sK13),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
relation(sK20),
inference(cnf_transformation,[],[f95]) ).
fof(f152,plain,
( empty_set != relation_inverse_image(sK20,singleton(sK19))
| in(sK19,relation_rng(sK20)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f153,plain,
( empty_set = relation_inverse_image(sK20,singleton(sK19))
| ~ in(sK19,relation_rng(sK20)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f154,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f155,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f159,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f164,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
| ~ in(X7,X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f104,f118]) ).
fof(f165,plain,
! [X2,X0,X1,X6] :
( in(unordered_pair(unordered_pair(X6,sK2(X0,X1,X6)),singleton(X6)),X0)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f103,f118]) ).
fof(f168,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,[],[f115,f118]) ).
fof(f169,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,[],[f114,f118]) ).
fof(f171,plain,
! [X0,X1,X6,X7] :
( ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
| in(X6,relation_inverse_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f164]) ).
fof(f172,plain,
! [X0,X1,X6] :
( in(unordered_pair(unordered_pair(X6,sK2(X0,X1,X6)),singleton(X6)),X0)
| ~ in(X6,relation_inverse_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f165]) ).
fof(f173,plain,
! [X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,relation_inverse_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f102]) ).
fof(f174,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f109]) ).
fof(f175,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f174]) ).
fof(f176,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f108]) ).
fof(f177,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f112]) ).
fof(f178,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f168]) ).
fof(f179,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK7(X0,X5),X5),singleton(sK7(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f169]) ).
fof(f180,definition,
sF21 = singleton(sK19),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f181,plain,
singleton(sK19) = sF21,
inference(reorient_equations,[],[f180]) ).
fof(f182,definition,
sF22 = relation_inverse_image(sK20,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f183,plain,
relation_inverse_image(sK20,sF21) = sF22,
inference(reorient_equations,[],[f182]) ).
fof(f184,definition,
sF23 = relation_rng(sK20),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f185,plain,
relation_rng(sK20) = sF23,
inference(reorient_equations,[],[f184]) ).
fof(f186,plain,
( empty_set = sF22
| ~ in(sK19,sF23) ),
inference(definition_folding,[],[f153,f185,f183,f181]) ).
fof(f187,plain,
( empty_set != sF22
| in(sK19,sF23) ),
inference(definition_folding,[],[f152,f185,f183,f181]) ).
fof(f189,definition,
( spl24_1
<=> in(sK19,sF23) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f190,plain,
( ~ in(sK19,sF23)
| spl24_1 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( in(sK19,sF23)
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f193,definition,
( spl24_2
<=> empty_set = sF22 ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f194,plain,
( empty_set = sF22
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f195,plain,
( empty_set != sF22
| spl24_2 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f196,plain,
( spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f187,f193,f189]) ).
fof(f197,plain,
( ~ spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f186,f193,f189]) ).
fof(f208,plain,
in(sK19,sF21),
inference(superposition,[],[f175,f181]) ).
fof(f209,plain,
~ empty(sF21),
inference(superposition,[],[f125,f181]) ).
fof(f225,plain,
empty_set = sK10,
inference(resolution,[],[f159,f135]) ).
fof(f227,plain,
empty_set = sK13,
inference(resolution,[],[f159,f140]) ).
fof(f233,plain,
! [X0] : ~ in(X0,sK10),
inference(superposition,[],[f177,f225]) ).
fof(f250,plain,
sK10 = sK13,
inference(superposition,[],[f225,f227]) ).
fof(f291,plain,
! [X0] :
( ~ in(X0,sF21)
| sK19 = X0 ),
inference(superposition,[],[f176,f181]) ).
fof(f317,plain,
! [X0] :
( in(sK8(X0),X0)
| empty(X0) ),
inference(resolution,[],[f155,f119]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ relation(X1)
| element(sK2(X1,X2,X0),X2) ),
inference(resolution,[],[f173,f154]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ relation(X1)
| in(sK2(X1,X2,X0),relation_rng(X1))
| ~ relation(X1) ),
inference(resolution,[],[f172,f178]) ).
fof(f405,plain,
! [X2,X0,X1] :
( in(sK2(X1,X2,X0),relation_rng(X1))
| ~ relation(X1)
| ~ in(X0,relation_inverse_image(X1,X2)) ),
inference(duplicate_literal_removal,[],[f394]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(sK7(X1,X0),relation_inverse_image(X1,X2))
| ~ in(X0,X2)
| ~ relation(X1) ),
inference(resolution,[],[f179,f171]) ).
fof(f428,plain,
! [X2,X0,X1] :
( in(sK7(X1,X0),relation_inverse_image(X1,X2))
| ~ relation(X1)
| ~ in(X0,relation_rng(X1))
| ~ in(X0,X2) ),
inference(duplicate_literal_removal,[],[f416]) ).
fof(f616,plain,
( sK19 = sK4(sF21)
| empty_set = sF21 ),
inference(resolution,[],[f291,f113]) ).
fof(f618,plain,
( sK13 = sF21
| sK19 = sK4(sF21) ),
inference(forward_demodulation,[],[f616,f227]) ).
fof(f633,plain,
( sK10 = sF21
| sK19 = sK4(sF21) ),
inference(forward_demodulation,[],[f618,f250]) ).
fof(f643,definition,
( spl24_13
<=> sK19 = sK4(sF21) ),
introduced(definition,[new_symbols(definition,[spl24_13])],[avatar_definition]) ).
fof(f645,plain,
( sK19 = sK4(sF21)
| ~ spl24_13 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f647,definition,
( spl24_14
<=> sK10 = sF21 ),
introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).
fof(f649,plain,
( sK10 = sF21
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f650,plain,
( spl24_13
| spl24_14 ),
inference(avatar_split_clause,[],[f633,f647,f643]) ).
fof(f684,plain,
( in(sK4(sF21),sF21)
| ~ spl24_13 ),
inference(superposition,[],[f208,f645]) ).
fof(f686,plain,
( ~ in(sK4(sF21),sF23)
| spl24_1
| ~ spl24_13 ),
inference(superposition,[],[f190,f645]) ).
fof(f895,plain,
! [X0] :
( ~ in(X0,sF22)
| ~ relation(sK20)
| element(sK2(sK20,sF21,X0),sF21) ),
inference(superposition,[],[f339,f183]) ).
fof(f897,plain,
! [X0] :
( ~ in(X0,sF22)
| element(sK2(sK20,sF21,X0),sF21) ),
inference(forward_subsumption_resolution,[],[f895,f151]) ).
fof(f911,plain,
( element(sK2(sK20,sF21,sK8(sF22)),sF21)
| empty(sF22) ),
inference(resolution,[],[f897,f317]) ).
fof(f913,definition,
( spl24_15
<=> empty(sF22) ),
introduced(definition,[new_symbols(definition,[spl24_15])],[avatar_definition]) ).
fof(f914,plain,
( ~ empty(sF22)
| spl24_15 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f915,plain,
( empty(sF22)
| ~ spl24_15 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f917,definition,
( spl24_16
<=> element(sK2(sK20,sF21,sK8(sF22)),sF21) ),
introduced(definition,[new_symbols(definition,[spl24_16])],[avatar_definition]) ).
fof(f919,plain,
( element(sK2(sK20,sF21,sK8(sF22)),sF21)
| ~ spl24_16 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f920,plain,
( spl24_15
| spl24_16 ),
inference(avatar_split_clause,[],[f911,f917,f913]) ).
fof(f946,plain,
( empty_set = sF22
| ~ spl24_15 ),
inference(resolution,[],[f915,f159]) ).
fof(f958,plain,
( $false
| spl24_2
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f946,f195]) ).
fof(f959,plain,
( spl24_2
| ~ spl24_15 ),
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f1001,plain,
( in(sK2(sK20,sF21,sK8(sF22)),sF21)
| empty(sF21)
| ~ spl24_16 ),
inference(resolution,[],[f919,f155]) ).
fof(f1002,plain,
( in(sK2(sK20,sF21,sK8(sF22)),sF21)
| ~ spl24_16 ),
inference(forward_subsumption_resolution,[],[f1001,f209]) ).
fof(f1016,plain,
( sK19 = sK2(sK20,sF21,sK8(sF22))
| ~ spl24_16 ),
inference(resolution,[],[f1002,f291]) ).
fof(f1020,plain,
( sK4(sF21) = sK2(sK20,sF21,sK8(sF22))
| ~ spl24_13
| ~ spl24_16 ),
inference(forward_demodulation,[],[f1016,f645]) ).
fof(f1088,plain,
( in(sK4(sF21),relation_rng(sK20))
| ~ relation(sK20)
| ~ in(sK8(sF22),relation_inverse_image(sK20,sF21))
| ~ spl24_13
| ~ spl24_16 ),
inference(superposition,[],[f405,f1020]) ).
fof(f1093,plain,
( in(sK4(sF21),relation_rng(sK20))
| ~ in(sK8(sF22),relation_inverse_image(sK20,sF21))
| ~ spl24_13
| ~ spl24_16 ),
inference(forward_subsumption_resolution,[],[f1088,f151]) ).
fof(f1095,plain,
( in(sK4(sF21),sF23)
| ~ in(sK8(sF22),relation_inverse_image(sK20,sF21))
| ~ spl24_13
| ~ spl24_16 ),
inference(forward_demodulation,[],[f1093,f185]) ).
fof(f1097,plain,
( ~ in(sK8(sF22),relation_inverse_image(sK20,sF21))
| spl24_1
| ~ spl24_13
| ~ spl24_16 ),
inference(forward_subsumption_resolution,[],[f1095,f686]) ).
fof(f1103,definition,
( spl24_23
<=> in(sK8(sF22),sF22) ),
introduced(definition,[new_symbols(definition,[spl24_23])],[avatar_definition]) ).
fof(f1105,plain,
( ~ in(sK8(sF22),sF22)
| spl24_23 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1107,plain,
( ~ in(sK8(sF22),sF22)
| spl24_1
| ~ spl24_13
| ~ spl24_16 ),
inference(forward_demodulation,[],[f1097,f183]) ).
fof(f1108,plain,
( ~ spl24_23
| spl24_1
| ~ spl24_13
| ~ spl24_16 ),
inference(avatar_split_clause,[],[f1107,f917,f643,f189,f1103]) ).
fof(f1117,plain,
! [X0] :
( in(sK7(sK20,X0),sF22)
| ~ relation(sK20)
| ~ in(X0,relation_rng(sK20))
| ~ in(X0,sF21) ),
inference(superposition,[],[f428,f183]) ).
fof(f1122,plain,
! [X0] :
( in(sK7(sK20,X0),sF22)
| ~ in(X0,relation_rng(sK20))
| ~ in(X0,sF21) ),
inference(forward_subsumption_resolution,[],[f1117,f151]) ).
fof(f1123,plain,
! [X0] :
( in(sK7(sK20,X0),sF22)
| ~ in(X0,sF23)
| ~ in(X0,sF21) ),
inference(forward_demodulation,[],[f1122,f185]) ).
fof(f1124,plain,
( empty(sF22)
| spl24_23 ),
inference(resolution,[],[f1105,f317]) ).
fof(f1125,plain,
( $false
| spl24_15
| spl24_23 ),
inference(forward_subsumption_resolution,[],[f1124,f914]) ).
fof(f1126,plain,
( spl24_15
| spl24_23 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1127,plain,
( in(sK4(sF21),sF23)
| ~ spl24_1
| ~ spl24_13 ),
inference(forward_demodulation,[],[f191,f645]) ).
fof(f1128,plain,
( sK13 = sF22
| ~ spl24_2 ),
inference(forward_demodulation,[],[f194,f227]) ).
fof(f1132,plain,
( sK10 = sF22
| ~ spl24_2 ),
inference(forward_demodulation,[],[f1128,f250]) ).
fof(f1331,plain,
( ! [X0] :
( in(sK7(sK20,X0),sK10)
| ~ in(X0,sF23)
| ~ in(X0,sF21) )
| ~ spl24_2 ),
inference(superposition,[],[f1123,f1132]) ).
fof(f1332,plain,
( ! [X0] :
( ~ in(X0,sF23)
| ~ in(X0,sF21) )
| ~ spl24_2 ),
inference(forward_subsumption_resolution,[],[f1331,f233]) ).
fof(f1352,plain,
( ~ in(sK4(sF21),sF21)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_13 ),
inference(resolution,[],[f1332,f1127]) ).
fof(f1358,plain,
( $false
| ~ spl24_1
| ~ spl24_2
| ~ spl24_13 ),
inference(forward_subsumption_resolution,[],[f1352,f684]) ).
fof(f1359,plain,
( ~ spl24_1
| ~ spl24_2
| ~ spl24_13 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f2711,plain,
( in(sK19,sK10)
| ~ spl24_14 ),
inference(superposition,[],[f208,f649]) ).
fof(f2731,plain,
( $false
| ~ spl24_14 ),
inference(forward_subsumption_resolution,[],[f2711,f233]) ).
fof(f2732,plain,
~ spl24_14,
inference(avatar_contradiction_clause,[],[f2731]) ).
cnf(s1,plain,
( spl24_1
| ~ spl24_2 ),
inference(sat_conversion,[],[f196]) ).
cnf(s2,plain,
( ~ spl24_1
| spl24_2 ),
inference(sat_conversion,[],[f197]) ).
cnf(s11,plain,
( spl24_13
| spl24_14 ),
inference(sat_conversion,[],[f650]) ).
cnf(s12,plain,
( spl24_15
| spl24_16 ),
inference(sat_conversion,[],[f920]) ).
cnf(s17,plain,
( spl24_2
| ~ spl24_15 ),
inference(sat_conversion,[],[f959]) ).
cnf(s20,plain,
( spl24_1
| ~ spl24_13
| ~ spl24_16
| ~ spl24_23 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s21,plain,
( spl24_15
| spl24_23 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s23,plain,
( ~ spl24_1
| ~ spl24_2
| ~ spl24_13 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s49,plain,
~ spl24_14,
inference(sat_conversion,[],[f2732]) ).
cnf(s50,plain,
spl24_13,
inference(rat,[],[s11,s49]) ).
cnf(s53,plain,
spl24_1,
inference(rat,[],[s20,s12,s21,s17,s1,s50]) ).
cnf(s54,plain,
~ spl24_2,
inference(rat,[],[s23,s50,s53]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s2,s54,s53]) ).
fof(f2736,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU061+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 03:30:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 3.47/0.90 % (3999145)Will run a generic schedule for satisfiability detection.
% 3.47/0.90 % (3999152)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1018809962:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.47/0.90 % (3999150)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2299427843_2999 on theBenchmark for (2999ds/0Mi)
% 3.47/0.90 % (3999153)dis+10_1_sil=32000:sp=arity:random_seed=3489596869:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.47/0.90 % (3999156)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2452755289:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.47/0.90 % (3999154)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=411011788:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.47/0.90 % (3999155)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=930075078:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.47/0.90 % (3999151)% WARNING: option uhcvi not known.
% 3.47/0.90 % TRYING [1]
% 3.47/0.90 % TRYING [2]
% 3.47/0.90 % TRYING [3]
% 3.47/0.90 % (3999151)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3934435297:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.47/0.90 % TRYING [4]
% 3.47/0.90 % TRYING [5]
% 3.47/0.90 % (3999153)Instruction limit reached!
% 3.47/0.90 % (3999153)------------------------------
% 3.47/0.90 % (3999153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999153)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999153)Termination reason: Instruction limit
% 3.47/0.90 % (3999153)Termination phase: Saturation
% 3.47/0.90 % (3999153)Time elapsed: 0.061 s
% 3.47/0.90 % (3999153)Peak memory usage: 12 MB
% 3.47/0.90 % (3999153)Instructions burned: 104 (million)
% 3.47/0.90 % (3999154)Instruction limit reached!
% 3.47/0.90 % (3999154)------------------------------
% 3.47/0.90 % (3999154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999154)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999154)Termination reason: Instruction limit
% 3.47/0.90 % (3999154)Termination phase: Saturation
% 3.47/0.90 % (3999154)Time elapsed: 0.073 s
% 3.47/0.90 % (3999154)Peak memory usage: 13 MB
% 3.47/0.90 % (3999154)Instructions burned: 116 (million)
% 3.47/0.90 % (3999155)Instruction limit reached!
% 3.47/0.90 % (3999155)------------------------------
% 3.47/0.90 % (3999155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999155)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999155)Termination reason: Instruction limit
% 3.47/0.90 % (3999155)Termination phase: Saturation
% 3.47/0.90 % (3999155)Time elapsed: 0.076 s
% 3.47/0.90 % (3999155)Peak memory usage: 13 MB
% 3.47/0.90 % (3999155)Instructions burned: 131 (million)
% 3.47/0.90 % (3999164)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=294581372:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.47/0.90 % TRYING [1]
% 3.47/0.90 % TRYING [2]
% 3.47/0.90 % TRYING [3]
% 3.47/0.90 % (3999165)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4122337029:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.47/0.90 % TRYING [4]
% 3.47/0.90 % (3999166)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=343793610:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.47/0.90 % (3999156)Instruction limit reached!
% 3.47/0.90 % (3999156)------------------------------
% 3.47/0.90 % (3999156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999156)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999156)Termination reason: Instruction limit
% 3.47/0.90 % (3999156)Termination phase: Saturation
% 3.47/0.90 % (3999156)Time elapsed: 0.108 s
% 3.47/0.90 % (3999156)Peak memory usage: 14 MB
% 3.47/0.90 % (3999156)Instructions burned: 160 (million)
% 3.47/0.90 % TRYING [5]
% 3.47/0.90 % TRYING [6]
% 3.47/0.90 % (3999170)ott-21_1_sil=16000:fs=off:random_seed=3495926284:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.47/0.90 % TRYING [6]
% 3.47/0.90 % (3999165)Instruction limit reached!
% 3.47/0.90 % (3999165)------------------------------
% 3.47/0.90 % (3999165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999165)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999165)Termination reason: Instruction limit
% 3.47/0.90 % (3999165)Termination phase: Saturation
% 3.47/0.90 % (3999165)Time elapsed: 0.087 s
% 3.47/0.90 % (3999165)Peak memory usage: 13 MB
% 3.47/0.90 % (3999165)Instructions burned: 131 (million)
% 3.47/0.90 % (3999172)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=635032330:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.47/0.90 % (3999170)Instruction limit reached!
% 3.47/0.90 % (3999170)------------------------------
% 3.47/0.90 % (3999170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999170)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999170)Termination reason: Instruction limit
% 3.47/0.90 % (3999170)Termination phase: Saturation
% 3.47/0.90 % (3999170)Time elapsed: 0.092 s
% 3.47/0.90 % (3999170)Peak memory usage: 12 MB
% 3.47/0.90 % (3999170)Instructions burned: 180 (million)
% 3.47/0.90 % (3999174)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2508492707:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.47/0.90 % TRYING [7]
% 3.47/0.90 % TRYING [1]
% 3.47/0.90 % TRYING [2]
% 3.47/0.90 % TRYING [3]
% 3.47/0.90 % TRYING [4]
% 3.47/0.90 % TRYING [7]
% 3.47/0.90 % (3999164)Instruction limit reached!
% 3.47/0.90 % (3999164)------------------------------
% 3.47/0.90 % (3999164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999164)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999164)Termination reason: Instruction limit
% 3.47/0.90 % (3999164)Termination phase: Finite model building constraint generation
% 3.47/0.90 % (3999164)Time elapsed: 0.266 s
% 3.47/0.90 % (3999164)Peak memory usage: 30 MB
% 3.47/0.90 % (3999164)Instructions burned: 716 (million)
% 3.47/0.90 % TRYING [5]
% 3.47/0.90 % (3999176)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2976981164:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 3.47/0.90 % (3999166)Instruction limit reached!
% 3.47/0.90 % (3999166)------------------------------
% 3.47/0.90 % (3999166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999166)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999166)Termination reason: Instruction limit
% 3.47/0.90 % (3999166)Termination phase: Saturation
% 3.47/0.90 % (3999166)Time elapsed: 0.337 s
% 3.47/0.90 % (3999166)Peak memory usage: 18 MB
% 3.47/0.90 % (3999166)Instructions burned: 685 (million)
% 3.47/0.90 % (3999176) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3999145-3999176"...
% 3.47/0.90 % (3999176)...printing done.
% 3.47/0.90 % (3999176)Refutation found. Thanks to Tanya!
% 3.47/0.90 % SZS status Theorem for theBenchmark
% 3.47/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/0.90 % (3999176)------------------------------
% 3.47/0.90 % (3999176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.90 % (3999176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.90 % (3999176)CaDiCaL version: 2.1.3
% 3.47/0.90 % (3999176)Termination reason: Refutation
% 3.47/0.90 % (3999176)Time elapsed: 0.078 s
% 3.47/0.90 % (3999176)Peak memory usage: 14 MB
% 3.47/0.90 % (3999176)Instructions burned: 123 (million)
% 3.47/0.90 % (3999145)Success in time 0.492 s
% 3.47/0.90 % Vampire exiting
%------------------------------------------------------------------------------