%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU063+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:47:10 PM UTC 2026
% Result : Theorem 6.61s 1.98s
% Output : Refutation 8.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 10
% Syntax : Number of formulae : 161 ( 7 unt; 5 def)
% Number of atoms : 802 ( 183 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1092 ( 451 ~; 518 |; 91 &)
% ( 24 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 248 ( 0 sgn 217 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f6,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f8,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f30,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ! [X1] :
~ ( in(X1,relation_rng(X0))
& ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2) )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t144_funct_1) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ! [X1] :
~ ( in(X1,relation_rng(X0))
& ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2) )
<=> one_to_one(X0) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f52,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f51]) ).
fof(f60,plain,
? [X0] :
( ( ! [X1] :
( ~ in(X1,relation_rng(X0))
| ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2) )
<~> one_to_one(X0) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f61,plain,
? [X0] :
( ( ! [X1] :
( ~ in(X1,relation_rng(X0))
| ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2) )
<~> one_to_one(X0) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f60]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f73,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ~ in(sK0(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK0(X0,X1,X2)),X1)
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK0(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK0(X0,X1,X2)),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f74]) ).
fof(f76,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,[],[f6]) ).
fof(f77,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,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK1(X0,X1) != X0
| ~ in(sK1(X0,X1),X1) )
& ( sK1(X0,X1) = X0
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f77]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK2(X0,X1) )
| ~ in(sK2(X0,X1),X1) )
& ( ( in(sK3(X0,X1),relation_dom(X0))
& sK2(X0,X1) = apply(X0,sK3(X0,X1)) )
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK4(X0,X5),relation_dom(X0))
& apply(X0,sK4(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f80]) ).
fof(f82,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f83,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK5(X0) != sK6(X0)
& in(sK5(X0),relation_dom(X0))
& in(sK6(X0),relation_dom(X0))
& apply(X0,sK5(X0)) = apply(X0,sK6(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0))],[f83]) ).
fof(f96,plain,
? [X0] :
( ( ~ one_to_one(X0)
| ? [X1] :
( in(X1,relation_rng(X0))
& ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2) ) )
& ( one_to_one(X0)
| ! [X1] :
( ~ in(X1,relation_rng(X0))
| ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2) ) )
& relation(X0)
& function(X0) ),
inference(nnf_transformation,[],[f61]) ).
fof(f97,plain,
? [X0] :
( ( ~ one_to_one(X0)
| ? [X1] :
( in(X1,relation_rng(X0))
& ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2) ) )
& ( one_to_one(X0)
| ! [X1] :
( ~ in(X1,relation_rng(X0))
| ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2) ) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
? [X0] :
( ( ~ one_to_one(X0)
| ? [X1] :
( in(X1,relation_rng(X0))
& ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2) ) )
& ( one_to_one(X0)
| ! [X3] :
( ~ in(X3,relation_rng(X0))
| ? [X4] : relation_inverse_image(X0,singleton(X3)) = singleton(X4) ) )
& relation(X0)
& function(X0) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
( ( ~ one_to_one(sK18)
| ( in(sK19,relation_rng(sK18))
& ! [X2] : singleton(X2) != relation_inverse_image(sK18,singleton(sK19)) ) )
& ( one_to_one(sK18)
| ! [X3] :
( ~ in(X3,relation_rng(sK18))
| relation_inverse_image(sK18,singleton(X3)) = singleton(sK20(X3)) ) )
& relation(sK18)
& function(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X4,sK20(X3))],[f98]) ).
fof(f109,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(apply(X0,sK0(X0,X1,X2)),X1)
| in(sK0(X0,X1,X2),X2)
| relation_inverse_image(X0,X1) = X2
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(sK0(X0,X1,X2),relation_dom(X0))
| in(sK0(X0,X1,X2),X2)
| relation_inverse_image(X0,X1) = X2
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ in(sK0(X0,X1,X2),relation_dom(X0))
| relation_inverse_image(X0,X1) = X2
| ~ in(apply(X0,sK0(X0,X1,X2)),X1)
| ~ in(sK0(X0,X1,X2),X2)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f113,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f78]) ).
fof(f114,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f78]) ).
fof(f117,plain,
! [X0,X1,X5] :
( apply(X0,sK4(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f118,plain,
! [X0,X1,X5] :
( in(sK4(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f119,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
! [X3,X0,X4] :
( ~ relation(X0)
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4)
| ~ one_to_one(X0)
| X3 = X4
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f124,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK5(X0)) = apply(X0,sK6(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f125,plain,
! [X0] :
( in(sK6(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f126,plain,
! [X0] :
( in(sK5(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f127,plain,
! [X0] :
( sK5(X0) != sK6(X0)
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f164,plain,
function(sK18),
inference(cnf_transformation,[],[f99]) ).
fof(f165,plain,
relation(sK18),
inference(cnf_transformation,[],[f99]) ).
fof(f166,plain,
! [X3] :
( one_to_one(sK18)
| ~ in(X3,relation_rng(sK18))
| relation_inverse_image(sK18,singleton(X3)) = singleton(sK20(X3)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f167,plain,
! [X2] :
( ~ one_to_one(sK18)
| singleton(X2) != relation_inverse_image(sK18,singleton(sK19)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f168,plain,
( ~ one_to_one(sK18)
| in(sK19,relation_rng(sK18)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f179,plain,
! [X0,X1,X4] :
( ~ relation(X0)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1)
| in(X4,relation_inverse_image(X0,X1))
| ~ function(X0) ),
inference(equality_resolution,[],[f109]) ).
fof(f182,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f114]) ).
fof(f183,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f182]) ).
fof(f184,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f113]) ).
fof(f185,plain,
! [X0,X1,X6] :
( in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f186,plain,
! [X0,X6] :
( ~ relation(X0)
| ~ in(X6,relation_dom(X0))
| in(apply(X0,X6),relation_rng(X0))
| ~ function(X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f187,plain,
! [X0,X5] :
( in(sK4(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f188,plain,
! [X0,X5] :
( ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| apply(X0,sK4(X0,X5)) = X5
| ~ function(X0) ),
inference(equality_resolution,[],[f117]) ).
fof(f190,definition,
( spl21_1
<=> ! [X3] :
( ~ in(X3,relation_rng(sK18))
| relation_inverse_image(sK18,singleton(X3)) = singleton(sK20(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f191,plain,
( ! [X3] :
( ~ in(X3,relation_rng(sK18))
| relation_inverse_image(sK18,singleton(X3)) = singleton(sK20(X3)) )
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,definition,
( spl21_2
<=> one_to_one(sK18) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f194,plain,
( one_to_one(sK18)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f195,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f166,f193,f190]) ).
fof(f197,definition,
( spl21_3
<=> ! [X2] : singleton(X2) != relation_inverse_image(sK18,singleton(sK19)) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f198,plain,
( ! [X2] : singleton(X2) != relation_inverse_image(sK18,singleton(sK19))
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( ~ one_to_one(sK18)
| spl21_2 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f200,plain,
( spl21_3
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f167,f193,f197]) ).
fof(f202,definition,
( spl21_4
<=> in(sK19,relation_rng(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f203,plain,
( in(sK19,relation_rng(sK18))
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( spl21_4
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f168,f193,f202]) ).
fof(f205,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK18))
| ~ in(apply(sK18,X0),X1)
| in(X0,relation_inverse_image(sK18,X1))
| ~ function(sK18) ),
inference(resolution,[],[f179,f165]) ).
fof(f206,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK18))
| ~ in(apply(sK18,X0),X1)
| in(X0,relation_inverse_image(sK18,X1)) ),
inference(forward_subsumption_resolution,[],[f205,f164]) ).
fof(f209,plain,
! [X0] :
( ~ in(X0,relation_rng(sK18))
| apply(sK18,sK4(sK18,X0)) = X0
| ~ function(sK18) ),
inference(resolution,[],[f188,f165]) ).
fof(f210,plain,
! [X0] :
( ~ in(X0,relation_rng(sK18))
| apply(sK18,sK4(sK18,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f209,f164]) ).
fof(f221,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK18))
| ~ in(X1,relation_dom(sK18))
| apply(sK18,X0) != apply(sK18,X1)
| ~ one_to_one(sK18)
| X0 = X1
| ~ function(sK18) ),
inference(resolution,[],[f123,f165]) ).
fof(f228,plain,
! [X0] :
( one_to_one(sK18)
| ~ relation(sK18)
| ~ function(sK18)
| ~ in(apply(sK18,sK6(sK18)),X0)
| in(sK6(sK18),relation_inverse_image(sK18,X0)) ),
inference(resolution,[],[f125,f206]) ).
fof(f229,plain,
! [X0] :
( one_to_one(sK18)
| ~ relation(sK18)
| ~ function(sK18)
| ~ in(apply(sK18,sK5(sK18)),X0)
| in(sK5(sK18),relation_inverse_image(sK18,X0)) ),
inference(resolution,[],[f126,f206]) ).
fof(f235,definition,
( spl21_5
<=> in(sK4(sK18,sK19),relation_dom(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f236,plain,
( ~ in(sK4(sK18,sK19),relation_dom(sK18))
| spl21_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f243,plain,
( ~ in(sK19,relation_rng(sK18))
| ~ relation(sK18)
| ~ function(sK18)
| spl21_5 ),
inference(resolution,[],[f236,f187]) ).
fof(f245,plain,
( ~ relation(sK18)
| ~ function(sK18)
| ~ spl21_4
| spl21_5 ),
inference(forward_subsumption_resolution,[],[f243,f203]) ).
fof(f246,plain,
( ~ function(sK18)
| ~ spl21_4
| spl21_5 ),
inference(forward_subsumption_resolution,[],[f245,f165]) ).
fof(f247,plain,
( $false
| ~ spl21_4
| spl21_5 ),
inference(forward_subsumption_resolution,[],[f246,f164]) ).
fof(f248,plain,
( ~ spl21_4
| spl21_5 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f249,plain,
( ! [X0] :
( ~ relation(sK18)
| ~ function(sK18)
| ~ in(apply(sK18,sK6(sK18)),X0)
| in(sK6(sK18),relation_inverse_image(sK18,X0)) )
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f228,f199]) ).
fof(f250,plain,
( ! [X0] :
( ~ relation(sK18)
| ~ function(sK18)
| ~ in(apply(sK18,sK5(sK18)),X0)
| in(sK5(sK18),relation_inverse_image(sK18,X0)) )
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f229,f199]) ).
fof(f251,plain,
( ! [X0] :
( ~ function(sK18)
| ~ in(apply(sK18,sK6(sK18)),X0)
| in(sK6(sK18),relation_inverse_image(sK18,X0)) )
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f249,f165]) ).
fof(f252,plain,
( ! [X0] :
( ~ function(sK18)
| ~ in(apply(sK18,sK5(sK18)),X0)
| in(sK5(sK18),relation_inverse_image(sK18,X0)) )
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f250,f165]) ).
fof(f253,plain,
( ! [X0] :
( ~ in(apply(sK18,sK6(sK18)),X0)
| in(sK6(sK18),relation_inverse_image(sK18,X0)) )
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f251,f164]) ).
fof(f254,plain,
( ! [X0] :
( ~ in(apply(sK18,sK5(sK18)),X0)
| in(sK5(sK18),relation_inverse_image(sK18,X0)) )
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f252,f164]) ).
fof(f261,plain,
( apply(sK18,sK6(sK18)) = apply(sK18,sK5(sK18))
| ~ relation(sK18)
| ~ function(sK18)
| spl21_2 ),
inference(resolution,[],[f199,f124]) ).
fof(f262,plain,
( apply(sK18,sK6(sK18)) = apply(sK18,sK5(sK18))
| ~ function(sK18)
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f261,f165]) ).
fof(f263,plain,
( apply(sK18,sK6(sK18)) = apply(sK18,sK5(sK18))
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f262,f164]) ).
fof(f268,plain,
( in(sK6(sK18),relation_inverse_image(sK18,singleton(apply(sK18,sK6(sK18)))))
| spl21_2 ),
inference(resolution,[],[f253,f183]) ).
fof(f270,plain,
( in(sK6(sK18),relation_inverse_image(sK18,singleton(apply(sK18,sK5(sK18)))))
| spl21_2 ),
inference(forward_demodulation,[],[f268,f263]) ).
fof(f272,plain,
( in(sK5(sK18),relation_inverse_image(sK18,singleton(apply(sK18,sK5(sK18)))))
| spl21_2 ),
inference(resolution,[],[f254,f183]) ).
fof(f277,plain,
! [X0] :
( ~ in(X0,relation_dom(sK18))
| in(apply(sK18,X0),relation_rng(sK18))
| ~ function(sK18) ),
inference(resolution,[],[f186,f165]) ).
fof(f278,plain,
! [X0] :
( ~ in(X0,relation_dom(sK18))
| in(apply(sK18,X0),relation_rng(sK18)) ),
inference(forward_subsumption_resolution,[],[f277,f164]) ).
fof(f281,plain,
( in(apply(sK18,sK5(sK18)),relation_rng(sK18))
| one_to_one(sK18)
| ~ relation(sK18)
| ~ function(sK18) ),
inference(resolution,[],[f278,f126]) ).
fof(f284,plain,
( in(apply(sK18,sK5(sK18)),relation_rng(sK18))
| ~ relation(sK18)
| ~ function(sK18)
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f281,f199]) ).
fof(f287,plain,
( in(apply(sK18,sK5(sK18)),relation_rng(sK18))
| ~ function(sK18)
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f284,f165]) ).
fof(f290,plain,
( in(apply(sK18,sK5(sK18)),relation_rng(sK18))
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f287,f164]) ).
fof(f294,plain,
( relation_inverse_image(sK18,singleton(apply(sK18,sK5(sK18)))) = singleton(sK20(apply(sK18,sK5(sK18))))
| ~ spl21_1
| spl21_2 ),
inference(resolution,[],[f290,f191]) ).
fof(f318,plain,
( in(sK6(sK18),singleton(sK20(apply(sK18,sK5(sK18)))))
| ~ spl21_1
| spl21_2 ),
inference(superposition,[],[f270,f294]) ).
fof(f320,plain,
( sK6(sK18) = sK20(apply(sK18,sK5(sK18)))
| ~ spl21_1
| spl21_2 ),
inference(resolution,[],[f318,f184]) ).
fof(f332,plain,
( in(sK5(sK18),singleton(sK20(apply(sK18,sK5(sK18)))))
| ~ spl21_1
| spl21_2 ),
inference(superposition,[],[f272,f294]) ).
fof(f333,plain,
( in(sK5(sK18),singleton(sK6(sK18)))
| ~ spl21_1
| spl21_2 ),
inference(forward_demodulation,[],[f332,f320]) ).
fof(f335,plain,
( sK6(sK18) = sK5(sK18)
| ~ spl21_1
| spl21_2 ),
inference(resolution,[],[f333,f184]) ).
fof(f346,plain,
( sK5(sK18) != sK5(sK18)
| one_to_one(sK18)
| ~ relation(sK18)
| ~ function(sK18)
| ~ spl21_1
| spl21_2 ),
inference(superposition,[],[f127,f335]) ).
fof(f347,plain,
( one_to_one(sK18)
| ~ relation(sK18)
| ~ function(sK18)
| ~ spl21_1
| spl21_2 ),
inference(trivial_inequality_removal,[],[f346]) ).
fof(f349,plain,
( ~ relation(sK18)
| ~ function(sK18)
| ~ spl21_1
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f347,f199]) ).
fof(f351,plain,
( ~ function(sK18)
| ~ spl21_1
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f349,f165]) ).
fof(f352,plain,
( $false
| ~ spl21_1
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f351,f164]) ).
fof(f353,plain,
( ~ spl21_1
| spl21_2 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f354,plain,
( ! [X0,X1] :
( ~ in(X0,relation_dom(sK18))
| ~ in(X1,relation_dom(sK18))
| apply(sK18,X0) != apply(sK18,X1)
| X0 = X1
| ~ function(sK18) )
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f221,f194]) ).
fof(f355,plain,
( ! [X0,X1] :
( apply(sK18,X0) != apply(sK18,X1)
| ~ in(X1,relation_dom(sK18))
| ~ in(X0,relation_dom(sK18))
| X0 = X1 )
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f354,f164]) ).
fof(f356,plain,
( sK19 = apply(sK18,sK4(sK18,sK19))
| ~ spl21_4 ),
inference(resolution,[],[f203,f210]) ).
fof(f364,plain,
! [X0,X1] :
( in(apply(sK18,sK0(sK18,X0,X1)),X0)
| in(sK0(sK18,X0,X1),X1)
| relation_inverse_image(sK18,X0) = X1
| ~ function(sK18) ),
inference(resolution,[],[f110,f165]) ).
fof(f365,plain,
! [X0,X1] :
( in(apply(sK18,sK0(sK18,X0,X1)),X0)
| in(sK0(sK18,X0,X1),X1)
| relation_inverse_image(sK18,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f364,f164]) ).
fof(f377,plain,
! [X0,X1] :
( in(apply(sK18,sK0(sK18,X0,singleton(X1))),X0)
| singleton(X1) = relation_inverse_image(sK18,X0)
| sK0(sK18,X0,singleton(X1)) = X1 ),
inference(resolution,[],[f365,f184]) ).
fof(f386,plain,
( in(sK4(sK18,sK19),relation_dom(sK18))
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f408,plain,
! [X0,X1] :
( apply(sK18,sK0(sK18,singleton(X1),singleton(X0))) = X1
| sK0(sK18,singleton(X1),singleton(X0)) = X0
| singleton(X0) = relation_inverse_image(sK18,singleton(X1)) ),
inference(resolution,[],[f377,f184]) ).
fof(f413,plain,
( ! [X2,X0,X1] :
( ~ in(sK0(sK18,singleton(X0),singleton(X1)),relation_dom(sK18))
| ~ in(X2,relation_dom(sK18))
| apply(sK18,X2) != X0
| sK0(sK18,singleton(X0),singleton(X1)) = X2
| sK0(sK18,singleton(X0),singleton(X1)) = X1
| singleton(X1) = relation_inverse_image(sK18,singleton(X0)) )
| ~ spl21_2 ),
inference(superposition,[],[f355,f408]) ).
fof(f536,plain,
! [X0,X1] :
( in(sK0(sK18,X0,X1),relation_dom(sK18))
| in(sK0(sK18,X0,X1),X1)
| relation_inverse_image(sK18,X0) = X1
| ~ function(sK18) ),
inference(resolution,[],[f111,f165]) ).
fof(f537,plain,
! [X0,X1] :
( in(sK0(sK18,X0,X1),relation_dom(sK18))
| in(sK0(sK18,X0,X1),X1)
| relation_inverse_image(sK18,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f536,f164]) ).
fof(f538,plain,
( ! [X2,X0,X1] :
( in(sK0(sK18,singleton(X0),singleton(X1)),singleton(X1))
| singleton(X1) = relation_inverse_image(sK18,singleton(X0))
| ~ in(X2,relation_dom(sK18))
| apply(sK18,X2) != X0
| sK0(sK18,singleton(X0),singleton(X1)) = X2
| sK0(sK18,singleton(X0),singleton(X1)) = X1
| singleton(X1) = relation_inverse_image(sK18,singleton(X0)) )
| ~ spl21_2 ),
inference(resolution,[],[f537,f413]) ).
fof(f557,plain,
( ! [X2,X0,X1] :
( in(sK0(sK18,singleton(X0),singleton(X1)),singleton(X1))
| singleton(X1) = relation_inverse_image(sK18,singleton(X0))
| ~ in(X2,relation_dom(sK18))
| apply(sK18,X2) != X0
| sK0(sK18,singleton(X0),singleton(X1)) = X2
| sK0(sK18,singleton(X0),singleton(X1)) = X1 )
| ~ spl21_2 ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f559,plain,
( ! [X2,X0,X1] :
( apply(sK18,X2) != X0
| ~ in(X2,relation_dom(sK18))
| singleton(X1) = relation_inverse_image(sK18,singleton(X0))
| sK0(sK18,singleton(X0),singleton(X1)) = X2
| sK0(sK18,singleton(X0),singleton(X1)) = X1 )
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f557,f184]) ).
fof(f566,plain,
( ! [X0,X1] :
( ~ in(X0,relation_dom(sK18))
| singleton(X1) = relation_inverse_image(sK18,singleton(apply(sK18,X0)))
| sK0(sK18,singleton(apply(sK18,X0)),singleton(X1)) = X0
| sK0(sK18,singleton(apply(sK18,X0)),singleton(X1)) = X1 )
| ~ spl21_2 ),
inference(equality_resolution,[],[f559]) ).
fof(f583,plain,
( ! [X0] :
( singleton(X0) = relation_inverse_image(sK18,singleton(apply(sK18,sK4(sK18,sK19))))
| sK4(sK18,sK19) = sK0(sK18,singleton(apply(sK18,sK4(sK18,sK19))),singleton(X0))
| sK0(sK18,singleton(apply(sK18,sK4(sK18,sK19))),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_5 ),
inference(resolution,[],[f566,f386]) ).
fof(f587,plain,
( ! [X0] :
( singleton(X0) = relation_inverse_image(sK18,singleton(sK19))
| sK4(sK18,sK19) = sK0(sK18,singleton(apply(sK18,sK4(sK18,sK19))),singleton(X0))
| sK0(sK18,singleton(apply(sK18,sK4(sK18,sK19))),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_demodulation,[],[f583,f356]) ).
fof(f589,plain,
( ! [X0] :
( sK4(sK18,sK19) = sK0(sK18,singleton(apply(sK18,sK4(sK18,sK19))),singleton(X0))
| sK0(sK18,singleton(apply(sK18,sK4(sK18,sK19))),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f587,f198]) ).
fof(f590,plain,
( ! [X0] :
( sK4(sK18,sK19) = sK0(sK18,singleton(sK19),singleton(X0))
| sK0(sK18,singleton(apply(sK18,sK4(sK18,sK19))),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_demodulation,[],[f589,f356]) ).
fof(f591,plain,
( ! [X0] :
( sK0(sK18,singleton(sK19),singleton(X0)) = X0
| sK4(sK18,sK19) = sK0(sK18,singleton(sK19),singleton(X0)) )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_demodulation,[],[f590,f356]) ).
fof(f606,plain,
( ! [X0] :
( ~ in(sK4(sK18,sK19),relation_dom(sK18))
| singleton(X0) = relation_inverse_image(sK18,singleton(sK19))
| ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(X0))
| ~ relation(sK18)
| ~ function(sK18)
| sK0(sK18,singleton(sK19),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(superposition,[],[f112,f591]) ).
fof(f609,plain,
( ! [X0] :
( singleton(X0) = relation_inverse_image(sK18,singleton(sK19))
| ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(X0))
| ~ relation(sK18)
| ~ function(sK18)
| sK0(sK18,singleton(sK19),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f606,f386]) ).
fof(f614,plain,
( ! [X0] :
( singleton(X0) = relation_inverse_image(sK18,singleton(sK19))
| ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(X0))
| ~ function(sK18)
| sK0(sK18,singleton(sK19),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f609,f165]) ).
fof(f619,plain,
( ! [X0] :
( singleton(X0) = relation_inverse_image(sK18,singleton(sK19))
| ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(X0))
| sK0(sK18,singleton(sK19),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f614,f164]) ).
fof(f622,plain,
( ! [X0] :
( ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(X0))
| sK0(sK18,singleton(sK19),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f619,f198]) ).
fof(f624,plain,
( ! [X0] :
( ~ in(sK19,singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(X0))
| sK0(sK18,singleton(sK19),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_demodulation,[],[f622,f356]) ).
fof(f625,plain,
( ! [X0] :
( ~ in(sK4(sK18,sK19),singleton(X0))
| sK0(sK18,singleton(sK19),singleton(X0)) = X0 )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f624,f183]) ).
fof(f626,plain,
( sK4(sK18,sK19) = sK0(sK18,singleton(sK19),singleton(sK4(sK18,sK19)))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(resolution,[],[f625,f183]) ).
fof(f632,plain,
( ~ in(sK4(sK18,sK19),relation_dom(sK18))
| relation_inverse_image(sK18,singleton(sK19)) = singleton(sK4(sK18,sK19))
| ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(sK4(sK18,sK19)))
| ~ relation(sK18)
| ~ function(sK18)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(superposition,[],[f112,f626]) ).
fof(f633,plain,
( relation_inverse_image(sK18,singleton(sK19)) = singleton(sK4(sK18,sK19))
| ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(sK4(sK18,sK19)))
| ~ relation(sK18)
| ~ function(sK18)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f632,f386]) ).
fof(f634,plain,
( ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ in(sK4(sK18,sK19),singleton(sK4(sK18,sK19)))
| ~ relation(sK18)
| ~ function(sK18)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f633,f198]) ).
fof(f635,plain,
( ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ relation(sK18)
| ~ function(sK18)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f634,f183]) ).
fof(f636,plain,
( ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ function(sK18)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f635,f165]) ).
fof(f637,plain,
( ~ in(apply(sK18,sK4(sK18,sK19)),singleton(sK19))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f636,f164]) ).
fof(f638,plain,
( ~ in(sK19,singleton(sK19))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_demodulation,[],[f637,f356]) ).
fof(f639,plain,
( $false
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f638,f183]) ).
fof(f640,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(avatar_contradiction_clause,[],[f639]) ).
cnf(s1,plain,
( spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( ~ spl21_2
| spl21_3 ),
inference(sat_conversion,[],[f200]) ).
cnf(s3,plain,
( ~ spl21_2
| spl21_4 ),
inference(sat_conversion,[],[f204]) ).
cnf(s7,plain,
( ~ spl21_4
| spl21_5 ),
inference(sat_conversion,[],[f248]) ).
cnf(s11,plain,
( ~ spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f353]) ).
cnf(s13,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5 ),
inference(sat_conversion,[],[f640]) ).
cnf(s14,plain,
~ spl21_2,
inference(rat,[],[s13,s7,s2,s3]) ).
cnf(s15,plain,
~ spl21_1,
inference(rat,[],[s11,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s14,s15]) ).
fof(f641,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU063+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.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 03:30:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.61/1.98 % (1533617)Detected formulas, will run a generic FOF schedule.
% 6.61/1.98 % (1533625)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=175040426:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.61/1.98 % (1533625)Refutation not found, incomplete strategy
% 6.61/1.98 % (1533625)------------------------------
% 6.61/1.98 % (1533625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533625)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533625)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.98 % (1533625)Time elapsed: 0.002 s
% 6.61/1.98 % (1533625)Peak memory usage: 88 MB
% 6.61/1.98 % (1533625)Instructions burned: 2 (million)
% 6.61/1.98 % (1533627)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=490087462:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.61/1.98 % (1533626)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1762349865:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.61/1.98 % (1533623)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=4212989496:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.61/1.98 % (1533624)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=2275535555:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.61/1.98 % (1533628)dis-21_1_sil=8000:lcm=predicate:random_seed=1799133372: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)
% 6.61/1.98 % (1533622)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=3359619285:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.61/1.98 % (1533626)Instruction limit reached!
% 6.61/1.98 % (1533626)------------------------------
% 6.61/1.98 % (1533626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533626)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533626)Termination reason: Instruction limit
% 6.61/1.98 % (1533626)Termination phase: Saturation
% 6.61/1.98 % (1533626)Time elapsed: 0.070 s
% 6.61/1.98 % (1533626)Peak memory usage: 88 MB
% 6.61/1.98 % (1533626)Instructions burned: 119 (million)
% 6.61/1.98 % (1533628)Instruction limit reached!
% 6.61/1.98 % (1533628)------------------------------
% 6.61/1.98 % (1533628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533628)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533628)Termination reason: Instruction limit
% 6.61/1.98 % (1533628)Termination phase: Saturation
% 6.61/1.98 % (1533628)Time elapsed: 0.074 s
% 6.61/1.98 % (1533628)Peak memory usage: 91 MB
% 6.61/1.98 % (1533628)Instructions burned: 131 (million)
% 6.61/1.98 % (1533627)Instruction limit reached!
% 6.61/1.98 % (1533627)------------------------------
% 6.61/1.98 % (1533627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533627)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533627)Termination reason: Instruction limit
% 6.61/1.98 % (1533627)Termination phase: Saturation
% 6.61/1.98 % (1533627)Time elapsed: 0.098 s
% 6.61/1.98 % (1533627)Peak memory usage: 90 MB
% 6.61/1.98 % (1533627)Instructions burned: 139 (million)
% 6.61/1.98 % (1533625)------------------------------
% 6.61/1.98 % (1533625)------------------------------
% 6.61/1.98 % (1533639)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=597568277:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.61/1.98 % (1533637)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2949039430:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.61/1.98 % (1533636)lrs+10_1_sil=8000:sp=occurrence:random_seed=991187524:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.61/1.98 % (1533638)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1892891875:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.61/1.98 % (1533639)Instruction limit reached!
% 6.61/1.98 % (1533639)------------------------------
% 6.61/1.98 % (1533639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533639)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533639)Termination reason: Instruction limit
% 6.61/1.98 % (1533639)Termination phase: Saturation
% 6.61/1.98 % (1533639)Time elapsed: 0.068 s
% 6.61/1.98 % (1533639)Peak memory usage: 91 MB
% 6.61/1.98 % (1533639)Instructions burned: 248 (million)
% 6.61/1.98 % (1533637)Instruction limit reached!
% 6.61/1.98 % (1533637)------------------------------
% 6.61/1.98 % (1533637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533637)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533637)Termination reason: Instruction limit
% 6.61/1.98 % (1533637)Termination phase: Saturation
% 6.61/1.98 % (1533637)Time elapsed: 0.070 s
% 6.61/1.98 % (1533637)Peak memory usage: 89 MB
% 6.61/1.98 % (1533637)Instructions burned: 159 (million)
% 6.61/1.98 % (1533644)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1771778679:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.61/1.98 % (1533644)Refutation not found, incomplete strategy
% 6.61/1.98 % (1533644)------------------------------
% 6.61/1.98 % (1533644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533644)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533644)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.98 % (1533644)Time elapsed: 0.002 s
% 6.61/1.98 % (1533644)Peak memory usage: 88 MB
% 6.61/1.98 % (1533644)Instructions burned: 3 (million)
% 6.61/1.98 % (1533636)Instruction limit reached!
% 6.61/1.98 % (1533636)------------------------------
% 6.61/1.98 % (1533636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533636)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533636)Termination reason: Instruction limit
% 6.61/1.98 % (1533636)Termination phase: Saturation
% 6.61/1.98 % (1533636)Time elapsed: 0.173 s
% 6.61/1.98 % (1533636)Peak memory usage: 91 MB
% 6.61/1.98 % (1533636)Instructions burned: 286 (million)
% 6.61/1.98 % (1533645)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1887279561:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.61/1.98 % (1533638)Instruction limit reached!
% 6.61/1.98 % (1533638)------------------------------
% 6.61/1.98 % (1533638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533638)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533638)Termination reason: Instruction limit
% 6.61/1.98 % (1533638)Termination phase: Saturation
% 6.61/1.98 % (1533638)Time elapsed: 0.212 s
% 6.61/1.98 % (1533638)Peak memory usage: 91 MB
% 6.61/1.98 % (1533638)Instructions burned: 325 (million)
% 6.61/1.98 % (1533644)------------------------------
% 6.61/1.98 % (1533644)------------------------------
% 6.61/1.98 % (1533647)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=161434146:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.61/1.98 % (1533649)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3821836564:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.61/1.98 % (1533650)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3527295070:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.61/1.98 % (1533647)Instruction limit reached!
% 6.61/1.98 % (1533647)------------------------------
% 6.61/1.98 % (1533647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533647)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533647)Termination reason: Instruction limit
% 6.61/1.98 % (1533647)Termination phase: Saturation
% 6.61/1.98 % (1533647)Time elapsed: 0.081 s
% 6.61/1.98 % (1533647)Peak memory usage: 90 MB
% 6.61/1.98 % (1533647)Instructions burned: 113 (million)
% 6.61/1.98 % (1533650)Instruction limit reached!
% 6.61/1.98 % (1533650)------------------------------
% 6.61/1.98 % (1533650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533650)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533650)Termination reason: Instruction limit
% 6.61/1.98 % (1533650)Termination phase: Saturation
% 6.61/1.98 % (1533650)Time elapsed: 0.036 s
% 6.61/1.98 % (1533650)Peak memory usage: 89 MB
% 6.61/1.98 % (1533650)Instructions burned: 117 (million)
% 6.61/1.98 % (1533649)Instruction limit reached!
% 6.61/1.98 % (1533649)------------------------------
% 6.61/1.98 % (1533649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533649)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533649)Termination reason: Instruction limit
% 6.61/1.98 % (1533649)Termination phase: Saturation
% 6.61/1.98 % (1533649)Time elapsed: 0.066 s
% 6.61/1.98 % (1533649)Peak memory usage: 89 MB
% 6.61/1.98 % (1533649)Instructions burned: 129 (million)
% 6.61/1.98 % (1533655)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4077270175:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.61/1.98 % (1533655)Refutation not found, incomplete strategy
% 6.61/1.98 % (1533655)------------------------------
% 6.61/1.98 % (1533655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533655)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533655)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.98 % (1533655)Time elapsed: 0.002 s
% 6.61/1.98 % (1533655)Peak memory usage: 88 MB
% 6.61/1.98 % (1533655)Instructions burned: 3 (million)
% 6.61/1.98 % (1533654)lrs+10_1_sil=8000:sp=occurrence:random_seed=2625561194:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.61/1.98 % (1533623)First to succeed.
% 6.61/1.98 % (1533623)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1533617"
% 6.61/1.98 % (1533656)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=38268443:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.61/1.98 % (1533622)Also succeeded, but the first one will report.
% 6.61/1.98 % (1533655)------------------------------
% 6.61/1.98 % (1533655)------------------------------
% 6.61/1.98 % (1533660)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=243025780:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.61/1.98 % (1533660)Instruction limit reached!
% 6.61/1.98 % (1533660)------------------------------
% 6.61/1.98 % (1533660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.98 % (1533660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.98 % (1533660)CaDiCaL version: 2.1.3
% 6.61/1.98 % (1533660)Termination reason: Instruction limit
% 6.61/1.98 % (1533660)Termination phase: Saturation
% 6.61/1.98 % (1533660)Time elapsed: 0.036 s
% 6.61/1.98 % (1533660)Peak memory usage: 90 MB
% 6.61/1.98 % (1533660)Instructions burned: 135 (million)
% 6.61/1.98 % (1533623)Refutation found. Thanks to Tanya!
% 6.61/1.98 % SZS status Theorem for theBenchmark
% 6.61/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.62/2.17 % (1533623)------------------------------
% 8.62/2.17 % (1533623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.17 % (1533623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.17 % (1533623)CaDiCaL version: 2.1.3
% 8.62/2.17 % (1533623)Termination reason: Refutation
% 8.62/2.17 % (1533623)Time elapsed: 0.725 s
% 8.62/2.17 % (1533623)Peak memory usage: 130 MB
% 8.62/2.17 % (1533623)Instructions burned: 1077 (million)
% 8.62/2.17 % (1533623)------------------------------
% 8.62/2.17 % (1533623)------------------------------
% 8.62/2.17 % (1533617)Success in time 1.136 s
% 8.62/2.17 % Vampire exiting
%------------------------------------------------------------------------------