%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU048+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:51:51 PM UTC 2026
% Result : Theorem 34.37s 5.40s
% Output : Refutation 34.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 94 ( 20 unt; 3 def)
% Number of atoms : 397 ( 75 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 500 ( 197 ~; 201 |; 74 &)
% ( 14 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 137 ( 123 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f12,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f33,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f35,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_funct_1) ).
fof(f36,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_rng_restriction(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f38,plain,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( in(X4,relation_dom(X1))
=> apply(X2,X4) = apply(X1,X4) ) ) ) ) ),
inference(rectify,[],[f33]) ).
fof(f47,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,[],[f5]) ).
fof(f48,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,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f50,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f51,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f50]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f65]) ).
fof(f68,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f69,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f68]) ).
fof(f70,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f71,definition,
! [X1,X0,X2] :
( ( X1 = relation_rng_restriction(X0,X2)
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0,X2) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( sP1(X1,X0,X2)
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(definition_folding,[],[f66,f71,f70]) ).
fof(f73,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,[],[f48]) ).
fof(f74,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,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK2(X0) != sK3(X0)
& in(sK2(X0),relation_dom(X0))
& in(sK3(X0),relation_dom(X0))
& apply(X0,sK2(X0)) = apply(X0,sK3(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,[sK2,sK3]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0))],[f74]) ).
fof(f87,plain,
! [X1,X0,X2] :
( ( ( X1 = relation_rng_restriction(X0,X2)
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| relation_rng_restriction(X0,X2) != X1 ) )
| ~ sP1(X1,X0,X2) ),
inference(nnf_transformation,[],[f71]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( ( relation_rng_restriction(X1,X2) = X0
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| relation_rng_restriction(X1,X2) != X0 ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X2))
| ~ in(apply(X2,X3),X0)
| ~ in(X3,relation_dom(X1)) )
& ( ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) )
| in(X3,relation_dom(X1)) ) )
| ? [X4] :
( apply(X2,X4) != apply(X1,X4)
& in(X4,relation_dom(X1)) ) )
& ( ( ! [X3] :
( ( in(X3,relation_dom(X1))
| ~ in(X3,relation_dom(X2))
| ~ in(apply(X2,X3),X0) )
& ( ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) )
| ~ in(X3,relation_dom(X1)) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X2))
| ~ in(apply(X2,X3),X0)
| ~ in(X3,relation_dom(X1)) )
& ( ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) )
| in(X3,relation_dom(X1)) ) )
| ? [X4] :
( apply(X2,X4) != apply(X1,X4)
& in(X4,relation_dom(X1)) ) )
& ( ( ! [X3] :
( ( in(X3,relation_dom(X1))
| ~ in(X3,relation_dom(X2))
| ~ in(apply(X2,X3),X0) )
& ( ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) )
| ~ in(X3,relation_dom(X1)) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X2)) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,relation_dom(X2)) ) )
| ? [X4] :
( apply(X2,X4) != apply(X0,X4)
& in(X4,relation_dom(X2)) ) )
& ( ( ! [X5] :
( ( in(X5,relation_dom(X2))
| ~ in(X5,relation_dom(X0))
| ~ in(apply(X0,X5),X1) )
& ( ( in(X5,relation_dom(X0))
& in(apply(X0,X5),X1) )
| ~ in(X5,relation_dom(X2)) ) )
& ! [X6] :
( apply(X0,X6) = apply(X2,X6)
| ~ in(X6,relation_dom(X2)) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(sK15(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK15(X0,X1,X2)),X1)
| ~ in(sK15(X0,X1,X2),relation_dom(X2)) )
& ( ( in(sK15(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK15(X0,X1,X2)),X1) )
| in(sK15(X0,X1,X2),relation_dom(X2)) ) )
| ( apply(X2,sK16(X0,X2)) != apply(X0,sK16(X0,X2))
& in(sK16(X0,X2),relation_dom(X2)) ) )
& ( ( ! [X5] :
( ( in(X5,relation_dom(X2))
| ~ in(X5,relation_dom(X0))
| ~ in(apply(X0,X5),X1) )
& ( ( in(X5,relation_dom(X0))
& in(apply(X0,X5),X1) )
| ~ in(X5,relation_dom(X2)) ) )
& ! [X6] :
( apply(X0,X6) = apply(X2,X6)
| ~ in(X6,relation_dom(X2)) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X3,sK15(X0,X1,X2)),skolemize(X4,sK16(X0,X2))],[f91]) ).
fof(f93,plain,
( ~ one_to_one(relation_rng_restriction(sK17,sK18))
& one_to_one(sK18)
& relation(sK18)
& function(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f69]) ).
fof(f100,plain,
! [X3,X0,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| X3 = X4
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f101,plain,
! [X0] :
( ~ relation(X0)
| apply(X0,sK2(X0)) = apply(X0,sK3(X0))
| one_to_one(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f102,plain,
! [X0] :
( in(sK3(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f103,plain,
! [X0] :
( in(sK2(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f104,plain,
! [X0] :
( sK2(X0) != sK3(X0)
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f105,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f113,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f145,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| relation_rng_restriction(X1,X2) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f147,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0,X1,X2)
| ~ in(X6,relation_dom(X2))
| apply(X0,X6) = apply(X2,X6) ),
inference(cnf_transformation,[],[f92]) ).
fof(f149,plain,
! [X2,X0,X1,X5] :
( ~ sP0(X0,X1,X2)
| ~ in(X5,relation_dom(X2))
| in(X5,relation_dom(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f157,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f159,plain,
function(sK18),
inference(cnf_transformation,[],[f93]) ).
fof(f160,plain,
relation(sK18),
inference(cnf_transformation,[],[f93]) ).
fof(f161,plain,
one_to_one(sK18),
inference(cnf_transformation,[],[f93]) ).
fof(f162,plain,
~ one_to_one(relation_rng_restriction(sK17,sK18)),
inference(cnf_transformation,[],[f93]) ).
fof(f163,plain,
! [X2,X1] :
( ~ sP1(relation_rng_restriction(X1,X2),X1,X2)
| sP0(X2,X1,relation_rng_restriction(X1,X2)) ),
inference(equality_resolution,[],[f145]) ).
fof(f164,definition,
sF19 = relation_rng_restriction(sK17,sK18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f165,plain,
relation_rng_restriction(sK17,sK18) = sF19,
inference(reorient_equations,[],[f164]) ).
fof(f166,plain,
~ one_to_one(sF19),
inference(definition_folding,[],[f162,f165]) ).
fof(f198,plain,
( relation(sF19)
| ~ relation(sK18) ),
inference(superposition,[],[f105,f165]) ).
fof(f199,plain,
relation(sF19),
inference(forward_subsumption_resolution,[],[f198,f160]) ).
fof(f274,plain,
( function(sF19)
| ~ relation(sK18)
| ~ function(sK18) ),
inference(superposition,[],[f113,f165]) ).
fof(f275,plain,
( function(sF19)
| ~ function(sK18) ),
inference(forward_subsumption_resolution,[],[f274,f160]) ).
fof(f276,plain,
function(sF19),
inference(forward_subsumption_resolution,[],[f275,f159]) ).
fof(f318,plain,
( ~ sP1(sF19,sK17,sK18)
| sP0(sK18,sK17,sF19) ),
inference(superposition,[],[f163,f165]) ).
fof(f342,plain,
( apply(sF19,sK2(sF19)) = apply(sF19,sK3(sF19))
| one_to_one(sF19)
| ~ function(sF19) ),
inference(resolution,[],[f101,f199]) ).
fof(f343,plain,
( apply(sF19,sK2(sF19)) = apply(sF19,sK3(sF19))
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f342,f166]) ).
fof(f349,plain,
apply(sF19,sK2(sF19)) = apply(sF19,sK3(sF19)),
inference(forward_subsumption_resolution,[],[f343,f276]) ).
fof(f450,plain,
( sP0(sK18,sK17,sF19)
| ~ relation(sK18)
| ~ function(sK18)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(resolution,[],[f318,f157]) ).
fof(f451,plain,
( sP0(sK18,sK17,sF19)
| ~ function(sK18)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f450,f160]) ).
fof(f452,plain,
( sP0(sK18,sK17,sF19)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f451,f159]) ).
fof(f453,plain,
( sP0(sK18,sK17,sF19)
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f452,f199]) ).
fof(f454,plain,
sP0(sK18,sK17,sF19),
inference(forward_subsumption_resolution,[],[f453,f276]) ).
fof(f455,plain,
! [X0] :
( ~ in(X0,relation_dom(sF19))
| apply(sF19,X0) = apply(sK18,X0) ),
inference(resolution,[],[f454,f147]) ).
fof(f457,plain,
! [X0] :
( ~ in(X0,relation_dom(sF19))
| in(X0,relation_dom(sK18)) ),
inference(resolution,[],[f454,f149]) ).
fof(f460,plain,
( in(sK2(sF19),relation_dom(sK18))
| one_to_one(sF19)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(resolution,[],[f457,f103]) ).
fof(f461,plain,
( in(sK3(sF19),relation_dom(sK18))
| one_to_one(sF19)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(resolution,[],[f457,f102]) ).
fof(f465,plain,
( in(sK3(sF19),relation_dom(sK18))
| ~ relation(sF19)
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f461,f166]) ).
fof(f466,plain,
( in(sK2(sF19),relation_dom(sK18))
| ~ relation(sF19)
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f460,f166]) ).
fof(f467,plain,
( in(sK3(sF19),relation_dom(sK18))
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f465,f199]) ).
fof(f468,plain,
( in(sK2(sF19),relation_dom(sK18))
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f466,f199]) ).
fof(f469,plain,
in(sK3(sF19),relation_dom(sK18)),
inference(forward_subsumption_resolution,[],[f467,f276]) ).
fof(f470,plain,
in(sK2(sF19),relation_dom(sK18)),
inference(forward_subsumption_resolution,[],[f468,f276]) ).
fof(f601,plain,
( apply(sF19,sK2(sF19)) = apply(sK18,sK2(sF19))
| one_to_one(sF19)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(resolution,[],[f455,f103]) ).
fof(f602,plain,
( apply(sF19,sK3(sF19)) = apply(sK18,sK3(sF19))
| one_to_one(sF19)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(resolution,[],[f455,f102]) ).
fof(f611,plain,
( apply(sF19,sK3(sF19)) = apply(sK18,sK3(sF19))
| ~ relation(sF19)
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f602,f166]) ).
fof(f612,plain,
( apply(sF19,sK2(sF19)) = apply(sK18,sK2(sF19))
| ~ relation(sF19)
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f601,f166]) ).
fof(f613,plain,
( apply(sF19,sK3(sF19)) = apply(sK18,sK3(sF19))
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f611,f199]) ).
fof(f614,plain,
( apply(sF19,sK2(sF19)) = apply(sK18,sK2(sF19))
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f612,f199]) ).
fof(f615,plain,
apply(sF19,sK3(sF19)) = apply(sK18,sK3(sF19)),
inference(forward_subsumption_resolution,[],[f613,f276]) ).
fof(f616,plain,
apply(sF19,sK2(sF19)) = apply(sK18,sK2(sF19)),
inference(forward_subsumption_resolution,[],[f614,f276]) ).
fof(f624,plain,
apply(sF19,sK2(sF19)) = apply(sK18,sK3(sF19)),
inference(superposition,[],[f349,f615]) ).
fof(f628,plain,
apply(sK18,sK2(sF19)) = apply(sK18,sK3(sF19)),
inference(forward_demodulation,[],[f624,f616]) ).
fof(f647,plain,
! [X0] :
( apply(sK18,X0) != apply(sK18,sK2(sF19))
| ~ in(sK3(sF19),relation_dom(sK18))
| ~ in(X0,relation_dom(sK18))
| sK3(sF19) = X0
| ~ one_to_one(sK18)
| ~ relation(sK18)
| ~ function(sK18) ),
inference(superposition,[],[f100,f628]) ).
fof(f650,plain,
! [X0] :
( apply(sK18,X0) != apply(sK18,sK2(sF19))
| ~ in(X0,relation_dom(sK18))
| sK3(sF19) = X0
| ~ one_to_one(sK18)
| ~ relation(sK18)
| ~ function(sK18) ),
inference(forward_subsumption_resolution,[],[f647,f469]) ).
fof(f652,plain,
! [X0] :
( apply(sK18,X0) != apply(sK18,sK2(sF19))
| ~ in(X0,relation_dom(sK18))
| sK3(sF19) = X0
| ~ relation(sK18)
| ~ function(sK18) ),
inference(forward_subsumption_resolution,[],[f650,f161]) ).
fof(f654,plain,
! [X0] :
( apply(sK18,X0) != apply(sK18,sK2(sF19))
| ~ in(X0,relation_dom(sK18))
| sK3(sF19) = X0
| ~ function(sK18) ),
inference(forward_subsumption_resolution,[],[f652,f160]) ).
fof(f656,plain,
! [X0] :
( apply(sK18,X0) != apply(sK18,sK2(sF19))
| ~ in(X0,relation_dom(sK18))
| sK3(sF19) = X0 ),
inference(forward_subsumption_resolution,[],[f654,f159]) ).
fof(f1104,plain,
( ~ in(sK2(sF19),relation_dom(sK18))
| sK2(sF19) = sK3(sF19) ),
inference(equality_resolution,[],[f656]) ).
fof(f1105,plain,
sK2(sF19) = sK3(sF19),
inference(forward_subsumption_resolution,[],[f1104,f470]) ).
fof(f1118,plain,
( sK2(sF19) != sK2(sF19)
| one_to_one(sF19)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(superposition,[],[f104,f1105]) ).
fof(f1120,plain,
( one_to_one(sF19)
| ~ relation(sF19)
| ~ function(sF19) ),
inference(trivial_inequality_removal,[],[f1118]) ).
fof(f1121,plain,
( ~ relation(sF19)
| ~ function(sF19) ),
inference(forward_subsumption_resolution,[],[f1120,f166]) ).
fof(f1123,plain,
~ function(sF19),
inference(forward_subsumption_resolution,[],[f1121,f199]) ).
fof(f1124,plain,
$false,
inference(forward_subsumption_resolution,[],[f1123,f276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU048+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 % Computer : n001.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 28 03:33:33 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.46 Running first-order model finding
% 0.15/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.53/2.56 % (4181521)Will run a generic schedule for satisfiability detection.
% 14.53/2.56 % (4181532)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3965627341:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.53/2.56 % (4181527)% WARNING: option uhcvi not known.
% 14.53/2.56 % (4181526)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1871357848_2999 on theBenchmark for (2999ds/0Mi)
% 14.53/2.56 % (4181527)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1642616082:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.53/2.56 % (4181530)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=321037421:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.53/2.56 % (4181528)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3218990777:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.53/2.56 % (4181529)dis+10_1_sil=32000:sp=arity:random_seed=520321632:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.53/2.56 % (4181531)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3134210764:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.53/2.56 % TRYING [1]
% 14.53/2.56 % TRYING [2]
% 14.53/2.56 % TRYING [3]
% 14.53/2.56 % TRYING [4]
% 14.53/2.56 % TRYING [5]
% 14.53/2.56 % (4181532)Instruction limit reached!
% 14.53/2.56 % (4181532)------------------------------
% 14.53/2.56 % (4181532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.56 % (4181532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.56 % (4181532)CaDiCaL version: 2.1.3
% 14.53/2.56 % (4181532)Termination reason: Instruction limit
% 14.53/2.56 % (4181532)Termination phase: Saturation
% 14.53/2.56 % (4181532)Time elapsed: 0.051 s
% 14.53/2.56 % (4181532)Peak memory usage: 14 MB
% 14.53/2.56 % (4181532)Instructions burned: 162 (million)
% 14.53/2.56 % (4181540)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2043428733:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.53/2.56 % TRYING [1]
% 14.53/2.56 % TRYING [2]
% 14.53/2.56 % (4181530)Instruction limit reached!
% 14.53/2.56 % (4181530)------------------------------
% 14.53/2.56 % (4181530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.56 % (4181530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.56 % (4181530)CaDiCaL version: 2.1.3
% 14.53/2.56 % (4181530)Termination reason: Instruction limit
% 14.53/2.56 % (4181530)Termination phase: Saturation
% 14.53/2.56 % (4181530)Time elapsed: 0.061 s
% 14.53/2.56 % (4181530)Peak memory usage: 12 MB
% 14.53/2.56 % (4181530)Instructions burned: 118 (million)
% 14.53/2.56 % TRYING [3]
% 14.53/2.56 % TRYING [4]
% 14.53/2.56 % TRYING [6]
% 14.53/2.56 % (4181529)Instruction limit reached!
% 14.53/2.56 % (4181529)------------------------------
% 14.53/2.56 % (4181529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.56 % (4181529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.56 % (4181529)CaDiCaL version: 2.1.3
% 14.53/2.56 % (4181529)Termination reason: Instruction limit
% 14.53/2.56 % (4181529)Termination phase: Saturation
% 14.53/2.56 % (4181529)Time elapsed: 0.067 s
% 14.53/2.56 % (4181529)Peak memory usage: 12 MB
% 14.53/2.56 % (4181529)Instructions burned: 103 (million)
% 14.53/2.56 % TRYING [5]
% 14.53/2.56 % (4181542)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1262409967:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.53/2.56 % (4181531)Instruction limit reached!
% 14.53/2.56 % (4181531)------------------------------
% 14.53/2.56 % (4181531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.56 % (4181531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.56 % (4181531)CaDiCaL version: 2.1.3
% 14.53/2.56 % (4181531)Termination reason: Instruction limit
% 14.53/2.56 % (4181531)Termination phase: Saturation
% 14.53/2.56 % (4181531)Time elapsed: 0.082 s
% 14.53/2.56 % (4181531)Peak memory usage: 13 MB
% 14.53/2.56 % (4181531)Instructions burned: 132 (million)
% 14.53/2.56 % TRYING [6]
% 14.53/2.56 % (4181543)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=1308159861:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 14.53/2.56 % (4181545)ott-21_1_sil=16000:fs=off:random_seed=3749827224:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.53/2.56 % TRYING [7]
% 14.53/2.56 % TRYING [7]
% 14.53/2.56 % (4181542)Instruction limit reached!
% 14.53/2.56 % (4181542)------------------------------
% 14.53/2.56 % (4181542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181542)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181542)Termination reason: Instruction limit
% 34.37/5.40 % (4181542)Termination phase: Saturation
% 34.37/5.40 % (4181542)Time elapsed: 0.089 s
% 34.37/5.40 % (4181542)Peak memory usage: 13 MB
% 34.37/5.40 % (4181542)Instructions burned: 132 (million)
% 34.37/5.40 % (4181545)Instruction limit reached!
% 34.37/5.40 % (4181545)------------------------------
% 34.37/5.40 % (4181545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181545)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181545)Termination reason: Instruction limit
% 34.37/5.40 % (4181545)Termination phase: Saturation
% 34.37/5.40 % (4181545)Time elapsed: 0.083 s
% 34.37/5.40 % (4181545)Peak memory usage: 12 MB
% 34.37/5.40 % (4181545)Instructions burned: 181 (million)
% 34.37/5.40 % (4181565)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=556072064:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 34.37/5.40 % (4181572)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1138471167:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 34.37/5.40 % TRYING [1]
% 34.37/5.40 % TRYING [2]
% 34.37/5.40 % TRYING [3]
% 34.37/5.40 % TRYING [4]
% 34.37/5.40 % (4181540)Instruction limit reached!
% 34.37/5.40 % (4181540)------------------------------
% 34.37/5.40 % (4181540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181540)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181540)Termination reason: Instruction limit
% 34.37/5.40 % (4181540)Termination phase: Finite model building SAT solving
% 34.37/5.40 % (4181540)Time elapsed: 0.184 s
% 34.37/5.40 % (4181540)Peak memory usage: 27 MB
% 34.37/5.40 % (4181540)Instructions burned: 716 (million)
% 34.37/5.40 % (4181595)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=27305271:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 34.37/5.40 % TRYING [5]
% 34.37/5.40 % TRYING [6]
% 34.37/5.40 % (4181543)Instruction limit reached!
% 34.37/5.40 % (4181543)------------------------------
% 34.37/5.40 % (4181543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181543)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181543)Termination reason: Instruction limit
% 34.37/5.40 % (4181543)Termination phase: Saturation
% 34.37/5.40 % (4181543)Time elapsed: 0.316 s
% 34.37/5.40 % (4181543)Peak memory usage: 17 MB
% 34.37/5.40 % (4181543)Instructions burned: 684 (million)
% 34.37/5.40 % (4181647)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3360396372:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 34.37/5.40 % TRYING [14]
% 34.37/5.40 % (4181565)Instruction limit reached!
% 34.37/5.40 % (4181565)------------------------------
% 34.37/5.40 % (4181565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181565)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181565)Termination reason: Instruction limit
% 34.37/5.40 % (4181565)Termination phase: Saturation
% 34.37/5.40 % (4181565)Time elapsed: 0.322 s
% 34.37/5.40 % (4181565)Peak memory usage: 15 MB
% 34.37/5.40 % (4181565)Instructions burned: 479 (million)
% 34.37/5.40 % TRYING [8]
% 34.37/5.40 % (4181661)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2617083522:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 34.37/5.40 % (4181572)Instruction limit reached!
% 34.37/5.40 % (4181572)------------------------------
% 34.37/5.40 % (4181572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181572)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181572)Termination reason: Instruction limit
% 34.37/5.40 % (4181572)Termination phase: Finite model building SAT solving
% 34.37/5.40 % (4181572)Time elapsed: 0.333 s
% 34.37/5.40 % (4181572)Peak memory usage: 20 MB
% 34.37/5.40 % (4181572)Instructions burned: 867 (million)
% 34.37/5.40 % (4181663)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3144122832:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 34.37/5.40 % (4181595)Instruction limit reached!
% 34.37/5.40 % (4181595)------------------------------
% 34.37/5.40 % (4181595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181595)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181595)Termination reason: Instruction limit
% 34.37/5.40 % (4181595)Termination phase: Saturation
% 34.37/5.40 % (4181595)Time elapsed: 0.376 s
% 34.37/5.40 % (4181595)Peak memory usage: 16 MB
% 34.37/5.40 % (4181595)Instructions burned: 1179 (million)
% 34.37/5.40 % (4181691)fmb+10_1_sil=64000:random_seed=147463741:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 34.37/5.40 % TRYING [1]
% 34.37/5.40 % TRYING [2]
% 34.37/5.40 % TRYING [3]
% 34.37/5.40 % TRYING [4]
% 34.37/5.40 % TRYING [5]
% 34.37/5.40 % TRYING [6]
% 34.37/5.40 % (4181647)Instruction limit reached!
% 34.37/5.40 % (4181647)------------------------------
% 34.37/5.40 % (4181647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181647)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181647)Termination reason: Instruction limit
% 34.37/5.40 % (4181647)Termination phase: Finite model building constraint generation
% 34.37/5.40 % (4181647)Time elapsed: 0.313 s
% 34.37/5.40 % (4181647)Peak memory usage: 72 MB
% 34.37/5.40 % (4181647)Instructions burned: 892 (million)
% 34.37/5.40 % (4181714)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2856759723:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 34.37/5.40 % TRYING [20]
% 34.37/5.40 % TRYING [7]
% 34.37/5.40 % (4181661)Instruction limit reached!
% 34.37/5.40 % (4181661)------------------------------
% 34.37/5.40 % (4181661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181661)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181661)Termination reason: Instruction limit
% 34.37/5.40 % (4181661)Termination phase: Saturation
% 34.37/5.40 % (4181661)Time elapsed: 0.384 s
% 34.37/5.40 % (4181661)Peak memory usage: 17 MB
% 34.37/5.40 % (4181661)Instructions burned: 693 (million)
% 34.37/5.40 % TRYING [8]
% 34.37/5.40 % (4181716)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=457056857:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 34.37/5.40 % TRYING [8]
% 34.37/5.40 % (4181663)Instruction limit reached!
% 34.37/5.40 % (4181663)------------------------------
% 34.37/5.40 % (4181663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181663)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181663)Termination reason: Instruction limit
% 34.37/5.40 % (4181663)Termination phase: Saturation
% 34.37/5.40 % (4181663)Time elapsed: 0.494 s
% 34.37/5.40 % (4181663)Peak memory usage: 20 MB
% 34.37/5.40 % (4181663)Instructions burned: 880 (million)
% 34.37/5.40 % (4181718)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3577335265:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 34.37/5.40 % (4181716)Instruction limit reached!
% 34.37/5.40 % (4181716)------------------------------
% 34.37/5.40 % (4181716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181716)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181716)Termination reason: Instruction limit
% 34.37/5.40 % (4181716)Termination phase: Finite model building SAT solving
% 34.37/5.40 % (4181716)Time elapsed: 0.416 s
% 34.37/5.40 % (4181716)Peak memory usage: 53 MB
% 34.37/5.40 % (4181716)Instructions burned: 921 (million)
% 34.37/5.40 % (4181720)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3118705769:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 34.37/5.40 % (4181720)Instruction limit reached!
% 34.37/5.40 % (4181720)------------------------------
% 34.37/5.40 % (4181720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181720)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181720)Termination reason: Instruction limit
% 34.37/5.40 % (4181720)Termination phase: Saturation
% 34.37/5.40 % (4181720)Time elapsed: 0.666 s
% 34.37/5.40 % (4181720)Peak memory usage: 25 MB
% 34.37/5.40 % (4181720)Instructions burned: 1473 (million)
% 34.37/5.40 % (4181722)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3792263927:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 34.37/5.40 % TRYING [77]
% 34.37/5.40 % TRYING [9]
% 34.37/5.40 % (4181718)Instruction limit reached!
% 34.37/5.40 % (4181718)------------------------------
% 34.37/5.40 % (4181718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181718)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181718)Termination reason: Instruction limit
% 34.37/5.40 % (4181718)Termination phase: Saturation
% 34.37/5.40 % (4181718)Time elapsed: 2.927 s
% 34.37/5.40 % (4181718)Peak memory usage: 28 MB
% 34.37/5.40 % (4181718)Instructions burned: 5132 (million)
% 34.37/5.40 % (4181724)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1666555487:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 34.37/5.40 % TRYING [16]
% 34.37/5.40 % (4181722)Instruction limit reached!
% 34.37/5.40 % (4181722)------------------------------
% 34.37/5.40 % (4181722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181722)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181722)Termination reason: Instruction limit
% 34.37/5.40 % (4181722)Termination phase: Finite model building constraint generation
% 34.37/5.40 % (4181722)Time elapsed: 2.231 s
% 34.37/5.40 % (4181722)Peak memory usage: 402 MB
% 34.37/5.40 % (4181722)Instructions burned: 6327 (million)
% 34.37/5.40 % (4181726)ott-2_1_sil=16000:newcnf=on:random_seed=4203525173:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 34.37/5.40 % (4181724)Instruction limit reached!
% 34.37/5.40 % (4181724)------------------------------
% 34.37/5.40 % (4181724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.37/5.40 % (4181724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.40 % (4181724)CaDiCaL version: 2.1.3
% 34.37/5.40 % (4181724)Termination reason: Instruction limit
% 34.37/5.40 % (4181724)Termination phase: Finite model building constraint generation
% 34.37/5.40 % (4181724)Time elapsed: 0.743 s
% 34.37/5.40 % (4181724)Peak memory usage: 134 MB
% 34.37/5.40 % (4181724)Instructions burned: 2174 (million)
% 34.37/5.40 % (4181728)ott+10_1_sil=32000:tgt=ground:random_seed=1318806850:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 34.37/5.40 % (4181728) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4181521-4181728"...
% 34.37/5.40 % (4181728)...printing done.
% 34.37/5.40 % (4181728)Refutation found. Thanks to Tanya!
% 34.37/5.40 % SZS status Theorem for theBenchmark
% 34.37/5.40 % SZS output start Proof for theBenchmark
% See solution above
% 34.37/5.40 % (4181728)------------------------------
% 34.37/5.40 % (4181728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.76/5.40 % (4181728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.76/5.40 % (4181728)CaDiCaL version: 2.1.3
% 34.76/5.40 % (4181728)Termination reason: Refutation
% 34.76/5.40 % (4181728)Time elapsed: 0.032 s
% 34.76/5.40 % (4181728)Peak memory usage: 12 MB
% 34.76/5.40 % (4181728)Instructions burned: 48 (million)
% 34.76/5.40 % (4181521)Success in time 4.929 s
% 34.76/5.40 % Vampire exiting
%------------------------------------------------------------------------------