%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU227+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:47:52 PM UTC 2026
% Result : Theorem 2.79s 1.30s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 67 ( 8 unt; 2 def)
% Number of atoms : 296 ( 27 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 375 ( 146 ~; 150 |; 55 &)
% ( 16 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 161 ( 0 sgn 131 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,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(f41,conjecture,
! [X0,X1] :
( relation(X1)
=> ( subset(X0,relation_dom(X1))
=> subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_funct_1) ).
fof(f42,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( subset(X0,relation_dom(X1))
=> subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f61,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f62,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,[],[f7]) ).
fof(f63,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f69,plain,
? [X0,X1] :
( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
& subset(X0,relation_dom(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f70,plain,
? [X0,X1] :
( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
& subset(X0,relation_dom(X1))
& relation(X1) ),
inference(flattening,[],[f69]) ).
fof(f80,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f61]) ).
fof(f81,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0)
| ~ in(X4,X1) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(sK2(X0,X1,X6),X6),X0)
& in(sK2(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_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))],[f81]) ).
fof(f83,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,[],[f62]) ).
fof(f84,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,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(sK3(X0,X1,X2),X4),X0)
| ~ in(X4,X1) )
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)
& in(sK4(X0,X1,X2),X1) )
| in(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(X6,sK5(X0,X1,X6)),X0)
& in(sK5(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X5,sK4(X0,X1,X2)),skolemize(X8,sK5(X0,X1,X6))],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f87,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK6(X0,X1),X1)
& in(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f87]) ).
fof(f89,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,[],[f64]) ).
fof(f90,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,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK7(X0,X1),X3),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK9(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f90]) ).
fof(f103,plain,
( ~ subset(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21)))
& subset(sK21,relation_dom(sK22))
& relation(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f70]) ).
fof(f113,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f119,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,[],[f85]) ).
fof(f123,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f124,plain,
! [X0,X1] :
( in(sK6(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f125,plain,
! [X0,X1] :
( ~ in(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f126,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK9(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f163,plain,
relation(sK22),
inference(cnf_transformation,[],[f103]) ).
fof(f164,plain,
subset(sK21,relation_dom(sK22)),
inference(cnf_transformation,[],[f103]) ).
fof(f165,plain,
~ subset(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),
inference(cnf_transformation,[],[f103]) ).
fof(f175,plain,
! [X0,X1,X6,X7] :
( in(X6,relation_image(X0,X1))
| ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f113]) ).
fof(f178,plain,
! [X0,X1,X6,X7] :
( in(X6,relation_inverse_image(X0,X1))
| ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f182,plain,
! [X0,X5] :
( in(ordered_pair(X5,sK9(X0,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( subset(X0,relation_inverse_image(X1,X2))
| ~ in(X3,X2)
| ~ relation(X1)
| ~ in(ordered_pair(sK6(X0,relation_inverse_image(X1,X2)),X3),X1) ),
inference(resolution,[],[f178,f125]) ).
fof(f385,plain,
! [X0] :
( ~ in(X0,relation_image(sK22,sK21))
| ~ relation(sK22)
| ~ in(ordered_pair(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),X0),sK22) ),
inference(resolution,[],[f201,f165]) ).
fof(f387,plain,
! [X0] :
( ~ in(ordered_pair(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),X0),sK22)
| ~ in(X0,relation_image(sK22,sK21)) ),
inference(forward_subsumption_resolution,[],[f385,f163]) ).
fof(f404,plain,
( ~ in(sK9(sK22,sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21)))),relation_image(sK22,sK21))
| ~ in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),relation_dom(sK22))
| ~ relation(sK22) ),
inference(resolution,[],[f387,f182]) ).
fof(f408,plain,
( ~ in(sK9(sK22,sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21)))),relation_image(sK22,sK21))
| ~ in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),relation_dom(sK22)) ),
inference(forward_subsumption_resolution,[],[f404,f163]) ).
fof(f410,definition,
( spl23_6
<=> in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),relation_dom(sK22)) ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f411,plain,
( in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),relation_dom(sK22))
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( ~ in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),relation_dom(sK22))
| spl23_6 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f414,definition,
( spl23_7
<=> in(sK9(sK22,sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21)))),relation_image(sK22,sK21)) ),
introduced(definition,[new_symbols(definition,[spl23_7])],[avatar_definition]) ).
fof(f416,plain,
( ~ in(sK9(sK22,sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21)))),relation_image(sK22,sK21))
| spl23_7 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f417,plain,
( ~ spl23_6
| ~ spl23_7 ),
inference(avatar_split_clause,[],[f408,f414,f410]) ).
fof(f423,plain,
( ! [X0] :
( ~ in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),X0)
| ~ subset(X0,relation_dom(sK22)) )
| spl23_6 ),
inference(resolution,[],[f412,f123]) ).
fof(f459,plain,
( ~ subset(sK21,relation_dom(sK22))
| subset(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21)))
| spl23_6 ),
inference(resolution,[],[f423,f124]) ).
fof(f464,plain,
( subset(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21)))
| spl23_6 ),
inference(forward_subsumption_resolution,[],[f459,f164]) ).
fof(f465,plain,
( $false
| spl23_6 ),
inference(forward_subsumption_resolution,[],[f464,f165]) ).
fof(f466,plain,
spl23_6,
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f506,plain,
( ! [X0] :
( ~ in(ordered_pair(X0,sK9(sK22,sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))))),sK22)
| ~ in(X0,sK21)
| ~ relation(sK22) )
| spl23_7 ),
inference(resolution,[],[f416,f175]) ).
fof(f508,plain,
( ! [X0] :
( ~ in(ordered_pair(X0,sK9(sK22,sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))))),sK22)
| ~ in(X0,sK21) )
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f506,f163]) ).
fof(f552,plain,
( ~ in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),sK21)
| ~ in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),relation_dom(sK22))
| ~ relation(sK22)
| spl23_7 ),
inference(resolution,[],[f508,f182]) ).
fof(f556,plain,
( ~ in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),sK21)
| ~ relation(sK22)
| ~ spl23_6
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f552,f411]) ).
fof(f557,plain,
( ~ in(sK6(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21))),sK21)
| ~ spl23_6
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f556,f163]) ).
fof(f569,plain,
( subset(sK21,relation_inverse_image(sK22,relation_image(sK22,sK21)))
| ~ spl23_6
| spl23_7 ),
inference(resolution,[],[f557,f124]) ).
fof(f571,plain,
( $false
| ~ spl23_6
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f569,f165]) ).
fof(f572,plain,
( ~ spl23_6
| spl23_7 ),
inference(avatar_contradiction_clause,[],[f571]) ).
cnf(s6,plain,
( ~ spl23_6
| ~ spl23_7 ),
inference(sat_conversion,[],[f417]) ).
cnf(s7,plain,
spl23_6,
inference(sat_conversion,[],[f466]) ).
cnf(s8,plain,
( ~ spl23_6
| spl23_7 ),
inference(sat_conversion,[],[f572]) ).
cnf(s9,plain,
spl23_7,
inference(rat,[],[s8,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s9,s7]) ).
fof(f573,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU227+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.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 04:05:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.79/1.30 % (3190810)Detected formulas, will run a generic FOF schedule.
% 2.79/1.30 % (3190819)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3659157004:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.79/1.30 % (3190819)Instruction limit reached!
% 2.79/1.30 % (3190819)------------------------------
% 2.79/1.30 % (3190819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.30 % (3190819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.30 % (3190819)CaDiCaL version: 2.1.3
% 2.79/1.30 % (3190819)Termination reason: Instruction limit
% 2.79/1.30 % (3190819)Termination phase: Saturation
% 2.79/1.30 % (3190819)Time elapsed: 0.041 s
% 2.79/1.30 % (3190819)Peak memory usage: 89 MB
% 2.79/1.30 % (3190819)Instructions burned: 122 (million)
% 2.79/1.30 % (3190818)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2930872097:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.79/1.30 % (3190817)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1185446413:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.79/1.30 % (3190816)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1115671557:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.79/1.30 % (3190815)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1620812901:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.79/1.30 % (3190818)Refutation not found, incomplete strategy
% 2.79/1.30 % (3190818)------------------------------
% 2.79/1.30 % (3190818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.30 % (3190818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.30 % (3190818)CaDiCaL version: 2.1.3
% 2.79/1.30 % (3190818)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.30 % (3190818)Time elapsed: 0.003 s
% 2.79/1.30 % (3190818)Peak memory usage: 88 MB
% 2.79/1.30 % (3190818)Instructions burned: 3 (million)
% 2.79/1.30 % (3190820)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3256214411:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.79/1.30 % (3190821)dis-21_1_sil=8000:lcm=predicate:random_seed=4245259307:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.79/1.30 % (3190820)First to succeed.
% 2.79/1.30 % (3190820)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3190810"
% 2.79/1.30 % (3190821)Instruction limit reached!
% 2.79/1.30 % (3190821)------------------------------
% 2.79/1.30 % (3190821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.30 % (3190821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.30 % (3190821)CaDiCaL version: 2.1.3
% 2.79/1.30 % (3190821)Termination reason: Instruction limit
% 2.79/1.30 % (3190821)Termination phase: Saturation
% 2.79/1.30 % (3190821)Time elapsed: 0.079 s
% 2.79/1.30 % (3190821)Peak memory usage: 90 MB
% 2.79/1.30 % (3190821)Instructions burned: 129 (million)
% 2.79/1.30 % (3190823)lrs+10_1_sil=8000:sp=occurrence:random_seed=4077651860:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.79/1.30 % (3190823)Instruction limit reached!
% 2.79/1.30 % (3190823)------------------------------
% 2.79/1.30 % (3190823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.30 % (3190823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.30 % (3190823)CaDiCaL version: 2.1.3
% 2.79/1.30 % (3190823)Termination reason: Instruction limit
% 2.79/1.30 % (3190823)Termination phase: Saturation
% 2.79/1.30 % (3190823)Time elapsed: 0.089 s
% 2.79/1.30 % (3190823)Peak memory usage: 92 MB
% 2.79/1.30 % (3190823)Instructions burned: 287 (million)
% 2.79/1.30 % (3190831)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3889895335:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.79/1.30 % (3190831)Also succeeded, but the first one will report.
% 2.79/1.30 % (3190818)------------------------------
% 2.79/1.30 % (3190818)------------------------------
% 2.79/1.30 % (3190832)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1957164125:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 2.79/1.30 % (3190832)Also succeeded, but the first one will report.
% 2.79/1.30 % (3190820)Refutation found. Thanks to Tanya!
% 2.79/1.30 % SZS status Theorem for theBenchmark
% 2.79/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.49 % (3190820)------------------------------
% 3.65/1.49 % (3190820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.49 % (3190820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.49 % (3190820)CaDiCaL version: 2.1.3
% 3.65/1.49 % (3190820)Termination reason: Refutation
% 3.65/1.49 % (3190820)Time elapsed: 0.021 s
% 3.65/1.49 % (3190820)Peak memory usage: 90 MB
% 3.65/1.49 % (3190820)Instructions burned: 27 (million)
% 3.65/1.49 % (3190820)------------------------------
% 3.65/1.49 % (3190820)------------------------------
% 3.65/1.49 % (3190810)Success in time 0.448 s
% 3.65/1.49 % Vampire exiting
%------------------------------------------------------------------------------