%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU013+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 : n015.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 12:47:04 PM UTC 2026
% Result : Theorem 2.77s 1.26s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 9
% Syntax : Number of formulae : 140 ( 20 unt; 3 def)
% Number of atoms : 593 ( 72 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 811 ( 358 ~; 372 |; 57 &)
% ( 9 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 128 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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(f5,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f9,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& relation(X1)
& function(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f26,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f27,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f30,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X0)
& one_to_one(X1) )
=> one_to_one(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_1) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X0)
& one_to_one(X1) )
=> one_to_one(relation_composition(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f44,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,[],[f4]) ).
fof(f45,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,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f51,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f50]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f61]) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(relation_composition(X0,X1))
& one_to_one(X0)
& one_to_one(X1)
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(relation_composition(X0,X1))
& one_to_one(X0)
& one_to_one(X1)
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f66]) ).
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) ) )
& ( ! [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,[],[f45]) ).
fof(f75,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,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK0(X0) != sK1(X0)
& in(sK0(X0),relation_dom(X0))
& in(sK1(X0),relation_dom(X0))
& apply(X0,sK0(X0)) = apply(X0,sK1(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,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0))],[f75]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f60]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
( ~ one_to_one(relation_composition(sK11,sK12))
& one_to_one(sK11)
& one_to_one(sK12)
& relation(sK12)
& function(sK12)
& relation(sK11)
& function(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f67]) ).
fof(f92,plain,
! [X3,X0,X4] :
( ~ one_to_one(X0)
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4)
| X3 = X4
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f93,plain,
! [X0] :
( apply(X0,sK0(X0)) = apply(X0,sK1(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f94,plain,
! [X0] :
( in(sK1(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f95,plain,
! [X0] :
( in(sK0(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f96,plain,
! [X0] :
( sK0(X0) != sK1(X0)
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f97,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f103,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(apply(X2,X0),relation_dom(X1))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f135,plain,
function(sK11),
inference(cnf_transformation,[],[f88]) ).
fof(f136,plain,
relation(sK11),
inference(cnf_transformation,[],[f88]) ).
fof(f137,plain,
function(sK12),
inference(cnf_transformation,[],[f88]) ).
fof(f138,plain,
relation(sK12),
inference(cnf_transformation,[],[f88]) ).
fof(f139,plain,
one_to_one(sK12),
inference(cnf_transformation,[],[f88]) ).
fof(f140,plain,
one_to_one(sK11),
inference(cnf_transformation,[],[f88]) ).
fof(f141,plain,
~ one_to_one(relation_composition(sK11,sK12)),
inference(cnf_transformation,[],[f88]) ).
fof(f165,plain,
! [X0,X1] :
( in(sK1(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(resolution,[],[f130,f94]) ).
fof(f166,plain,
! [X0,X1] :
( in(sK0(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(resolution,[],[f130,f95]) ).
fof(f167,plain,
! [X0,X1] :
( in(sK0(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f166,f97]) ).
fof(f168,plain,
! [X0,X1] :
( in(sK1(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f165,f97]) ).
fof(f169,plain,
! [X0,X1] :
( one_to_one(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| in(sK0(relation_composition(X0,X1)),relation_dom(X0)) ),
inference(forward_subsumption_resolution,[],[f167,f103]) ).
fof(f170,plain,
! [X0,X1] :
( one_to_one(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| in(sK1(relation_composition(X0,X1)),relation_dom(X0)) ),
inference(forward_subsumption_resolution,[],[f168,f103]) ).
fof(f171,plain,
! [X0,X1] :
( in(apply(X0,sK1(relation_composition(X0,X1))),relation_dom(X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(resolution,[],[f129,f94]) ).
fof(f172,plain,
! [X0,X1] :
( in(apply(X0,sK0(relation_composition(X0,X1))),relation_dom(X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(resolution,[],[f129,f95]) ).
fof(f173,plain,
! [X0,X1] :
( in(apply(X0,sK0(relation_composition(X0,X1))),relation_dom(X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f172,f97]) ).
fof(f174,plain,
! [X0,X1] :
( in(apply(X0,sK1(relation_composition(X0,X1))),relation_dom(X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f171,f97]) ).
fof(f175,plain,
! [X0,X1] :
( one_to_one(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| in(apply(X0,sK0(relation_composition(X0,X1))),relation_dom(X1)) ),
inference(forward_subsumption_resolution,[],[f173,f103]) ).
fof(f176,plain,
! [X0,X1] :
( one_to_one(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| in(apply(X0,sK1(relation_composition(X0,X1))),relation_dom(X1)) ),
inference(forward_subsumption_resolution,[],[f174,f103]) ).
fof(f187,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK12))
| ~ in(X1,relation_dom(sK12))
| apply(sK12,X0) != apply(sK12,X1)
| X0 = X1
| ~ relation(sK12)
| ~ function(sK12) ),
inference(resolution,[],[f92,f139]) ).
fof(f188,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK11))
| ~ in(X1,relation_dom(sK11))
| apply(sK11,X0) != apply(sK11,X1)
| X0 = X1
| ~ relation(sK11)
| ~ function(sK11) ),
inference(resolution,[],[f92,f140]) ).
fof(f189,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK11))
| ~ in(X1,relation_dom(sK11))
| apply(sK11,X0) != apply(sK11,X1)
| X0 = X1
| ~ function(sK11) ),
inference(forward_subsumption_resolution,[],[f188,f136]) ).
fof(f190,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK12))
| ~ in(X1,relation_dom(sK12))
| apply(sK12,X0) != apply(sK12,X1)
| X0 = X1
| ~ function(sK12) ),
inference(forward_subsumption_resolution,[],[f187,f138]) ).
fof(f191,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK11))
| ~ in(X1,relation_dom(sK11))
| apply(sK11,X0) != apply(sK11,X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f189,f135]) ).
fof(f192,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK12))
| ~ in(X1,relation_dom(sK12))
| apply(sK12,X0) != apply(sK12,X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f190,f137]) ).
fof(f202,plain,
! [X0,X1] :
( apply(relation_composition(X0,X1),sK1(relation_composition(X0,X1))) = apply(X1,apply(X0,sK1(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(resolution,[],[f132,f94]) ).
fof(f203,plain,
! [X0,X1] :
( apply(relation_composition(X0,X1),sK0(relation_composition(X0,X1))) = apply(X1,apply(X0,sK0(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(resolution,[],[f132,f95]) ).
fof(f204,plain,
! [X0,X1] :
( apply(relation_composition(X0,X1),sK0(relation_composition(X0,X1))) = apply(X1,apply(X0,sK0(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f203,f97]) ).
fof(f205,plain,
! [X0,X1] :
( apply(relation_composition(X0,X1),sK1(relation_composition(X0,X1))) = apply(X1,apply(X0,sK1(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| one_to_one(relation_composition(X0,X1))
| ~ function(relation_composition(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f202,f97]) ).
fof(f206,plain,
! [X0,X1] :
( one_to_one(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| apply(relation_composition(X0,X1),sK0(relation_composition(X0,X1))) = apply(X1,apply(X0,sK0(relation_composition(X0,X1)))) ),
inference(forward_subsumption_resolution,[],[f204,f103]) ).
fof(f207,plain,
! [X0,X1] :
( one_to_one(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| apply(relation_composition(X0,X1),sK1(relation_composition(X0,X1))) = apply(X1,apply(X0,sK1(relation_composition(X0,X1)))) ),
inference(forward_subsumption_resolution,[],[f205,f103]) ).
fof(f269,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| in(sK0(relation_composition(sK11,sK12)),relation_dom(sK11)) ),
inference(resolution,[],[f169,f141]) ).
fof(f272,plain,
( ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| in(sK0(relation_composition(sK11,sK12)),relation_dom(sK11)) ),
inference(forward_subsumption_resolution,[],[f269,f136]) ).
fof(f274,plain,
( ~ relation(sK12)
| ~ function(sK12)
| in(sK0(relation_composition(sK11,sK12)),relation_dom(sK11)) ),
inference(forward_subsumption_resolution,[],[f272,f135]) ).
fof(f275,plain,
( ~ function(sK12)
| in(sK0(relation_composition(sK11,sK12)),relation_dom(sK11)) ),
inference(forward_subsumption_resolution,[],[f274,f138]) ).
fof(f276,plain,
in(sK0(relation_composition(sK11,sK12)),relation_dom(sK11)),
inference(forward_subsumption_resolution,[],[f275,f137]) ).
fof(f277,plain,
! [X0] :
( apply(sK11,X0) != apply(sK11,sK0(relation_composition(sK11,sK12)))
| ~ in(X0,relation_dom(sK11))
| sK0(relation_composition(sK11,sK12)) = X0 ),
inference(resolution,[],[f276,f191]) ).
fof(f281,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| in(sK1(relation_composition(sK11,sK12)),relation_dom(sK11)) ),
inference(resolution,[],[f170,f141]) ).
fof(f284,plain,
( ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| in(sK1(relation_composition(sK11,sK12)),relation_dom(sK11)) ),
inference(forward_subsumption_resolution,[],[f281,f136]) ).
fof(f286,plain,
( ~ relation(sK12)
| ~ function(sK12)
| in(sK1(relation_composition(sK11,sK12)),relation_dom(sK11)) ),
inference(forward_subsumption_resolution,[],[f284,f135]) ).
fof(f287,plain,
( ~ function(sK12)
| in(sK1(relation_composition(sK11,sK12)),relation_dom(sK11)) ),
inference(forward_subsumption_resolution,[],[f286,f138]) ).
fof(f288,plain,
in(sK1(relation_composition(sK11,sK12)),relation_dom(sK11)),
inference(forward_subsumption_resolution,[],[f287,f137]) ).
fof(f290,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| in(apply(sK11,sK0(relation_composition(sK11,sK12))),relation_dom(sK12)) ),
inference(resolution,[],[f175,f141]) ).
fof(f293,plain,
( ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| in(apply(sK11,sK0(relation_composition(sK11,sK12))),relation_dom(sK12)) ),
inference(forward_subsumption_resolution,[],[f290,f136]) ).
fof(f295,plain,
( ~ relation(sK12)
| ~ function(sK12)
| in(apply(sK11,sK0(relation_composition(sK11,sK12))),relation_dom(sK12)) ),
inference(forward_subsumption_resolution,[],[f293,f135]) ).
fof(f296,plain,
( ~ function(sK12)
| in(apply(sK11,sK0(relation_composition(sK11,sK12))),relation_dom(sK12)) ),
inference(forward_subsumption_resolution,[],[f295,f138]) ).
fof(f297,plain,
in(apply(sK11,sK0(relation_composition(sK11,sK12))),relation_dom(sK12)),
inference(forward_subsumption_resolution,[],[f296,f137]) ).
fof(f298,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| in(apply(sK11,sK1(relation_composition(sK11,sK12))),relation_dom(sK12)) ),
inference(resolution,[],[f176,f141]) ).
fof(f301,plain,
( ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| in(apply(sK11,sK1(relation_composition(sK11,sK12))),relation_dom(sK12)) ),
inference(forward_subsumption_resolution,[],[f298,f136]) ).
fof(f303,plain,
( ~ relation(sK12)
| ~ function(sK12)
| in(apply(sK11,sK1(relation_composition(sK11,sK12))),relation_dom(sK12)) ),
inference(forward_subsumption_resolution,[],[f301,f135]) ).
fof(f304,plain,
( ~ function(sK12)
| in(apply(sK11,sK1(relation_composition(sK11,sK12))),relation_dom(sK12)) ),
inference(forward_subsumption_resolution,[],[f303,f138]) ).
fof(f305,plain,
in(apply(sK11,sK1(relation_composition(sK11,sK12))),relation_dom(sK12)),
inference(forward_subsumption_resolution,[],[f304,f137]) ).
fof(f315,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| apply(relation_composition(sK11,sK12),sK0(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))) ),
inference(resolution,[],[f206,f141]) ).
fof(f318,plain,
( ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| apply(relation_composition(sK11,sK12),sK0(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))) ),
inference(forward_subsumption_resolution,[],[f315,f136]) ).
fof(f320,plain,
( ~ relation(sK12)
| ~ function(sK12)
| apply(relation_composition(sK11,sK12),sK0(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))) ),
inference(forward_subsumption_resolution,[],[f318,f135]) ).
fof(f321,plain,
( ~ function(sK12)
| apply(relation_composition(sK11,sK12),sK0(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))) ),
inference(forward_subsumption_resolution,[],[f320,f138]) ).
fof(f322,plain,
apply(relation_composition(sK11,sK12),sK0(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))),
inference(forward_subsumption_resolution,[],[f321,f137]) ).
fof(f323,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| apply(relation_composition(sK11,sK12),sK1(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12)))) ),
inference(resolution,[],[f207,f141]) ).
fof(f326,plain,
( ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| apply(relation_composition(sK11,sK12),sK1(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12)))) ),
inference(forward_subsumption_resolution,[],[f323,f136]) ).
fof(f328,plain,
( ~ relation(sK12)
| ~ function(sK12)
| apply(relation_composition(sK11,sK12),sK1(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12)))) ),
inference(forward_subsumption_resolution,[],[f326,f135]) ).
fof(f329,plain,
( ~ function(sK12)
| apply(relation_composition(sK11,sK12),sK1(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12)))) ),
inference(forward_subsumption_resolution,[],[f328,f138]) ).
fof(f330,plain,
apply(relation_composition(sK11,sK12),sK1(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12)))),
inference(forward_subsumption_resolution,[],[f329,f137]) ).
fof(f332,plain,
! [X0] :
( apply(sK12,X0) != apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12))))
| ~ in(X0,relation_dom(sK12))
| apply(sK11,sK0(relation_composition(sK11,sK12))) = X0 ),
inference(resolution,[],[f297,f192]) ).
fof(f355,definition,
( spl13_6
<=> function(relation_composition(sK11,sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f356,plain,
( function(relation_composition(sK11,sK12))
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f357,plain,
( ~ function(relation_composition(sK11,sK12))
| spl13_6 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f359,definition,
( spl13_7
<=> relation(relation_composition(sK11,sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f360,plain,
( relation(relation_composition(sK11,sK12))
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f361,plain,
( ~ relation(relation_composition(sK11,sK12))
| spl13_7 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f375,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| spl13_6 ),
inference(resolution,[],[f357,f103]) ).
fof(f377,plain,
( ~ function(sK11)
| ~ relation(sK12)
| ~ function(sK12)
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f375,f136]) ).
fof(f378,plain,
( ~ relation(sK12)
| ~ function(sK12)
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f377,f135]) ).
fof(f379,plain,
( ~ function(sK12)
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f378,f138]) ).
fof(f380,plain,
( $false
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f379,f137]) ).
fof(f381,plain,
spl13_6,
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f383,plain,
( apply(relation_composition(sK11,sK12),sK0(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12))))
| one_to_one(relation_composition(sK11,sK12))
| ~ relation(relation_composition(sK11,sK12))
| ~ function(relation_composition(sK11,sK12)) ),
inference(superposition,[],[f93,f330]) ).
fof(f393,plain,
( apply(relation_composition(sK11,sK12),sK0(relation_composition(sK11,sK12))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12))))
| ~ relation(relation_composition(sK11,sK12))
| ~ function(relation_composition(sK11,sK12)) ),
inference(forward_subsumption_resolution,[],[f383,f141]) ).
fof(f395,plain,
( apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12))))
| ~ relation(relation_composition(sK11,sK12))
| ~ function(relation_composition(sK11,sK12)) ),
inference(forward_demodulation,[],[f393,f322]) ).
fof(f398,definition,
( spl13_13
<=> apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12)))) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f400,plain,
( apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))) = apply(sK12,apply(sK11,sK1(relation_composition(sK11,sK12))))
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f401,plain,
( ~ spl13_6
| ~ spl13_7
| spl13_13 ),
inference(avatar_split_clause,[],[f395,f398,f359,f355]) ).
fof(f406,plain,
( ~ relation(sK11)
| ~ relation(sK12)
| spl13_7 ),
inference(resolution,[],[f361,f97]) ).
fof(f408,plain,
( ~ relation(sK12)
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f406,f136]) ).
fof(f409,plain,
( $false
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f408,f138]) ).
fof(f410,plain,
spl13_7,
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f560,plain,
( apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12)))) != apply(sK12,apply(sK11,sK0(relation_composition(sK11,sK12))))
| ~ in(apply(sK11,sK1(relation_composition(sK11,sK12))),relation_dom(sK12))
| apply(sK11,sK0(relation_composition(sK11,sK12))) = apply(sK11,sK1(relation_composition(sK11,sK12)))
| ~ spl13_13 ),
inference(superposition,[],[f332,f400]) ).
fof(f562,plain,
( ~ in(apply(sK11,sK1(relation_composition(sK11,sK12))),relation_dom(sK12))
| apply(sK11,sK0(relation_composition(sK11,sK12))) = apply(sK11,sK1(relation_composition(sK11,sK12)))
| ~ spl13_13 ),
inference(trivial_inequality_removal,[],[f560]) ).
fof(f563,plain,
( apply(sK11,sK0(relation_composition(sK11,sK12))) = apply(sK11,sK1(relation_composition(sK11,sK12)))
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f562,f305]) ).
fof(f568,plain,
( apply(sK11,sK0(relation_composition(sK11,sK12))) != apply(sK11,sK0(relation_composition(sK11,sK12)))
| ~ in(sK1(relation_composition(sK11,sK12)),relation_dom(sK11))
| sK0(relation_composition(sK11,sK12)) = sK1(relation_composition(sK11,sK12))
| ~ spl13_13 ),
inference(superposition,[],[f277,f563]) ).
fof(f570,plain,
( ~ in(sK1(relation_composition(sK11,sK12)),relation_dom(sK11))
| sK0(relation_composition(sK11,sK12)) = sK1(relation_composition(sK11,sK12))
| ~ spl13_13 ),
inference(trivial_inequality_removal,[],[f568]) ).
fof(f572,plain,
( sK0(relation_composition(sK11,sK12)) = sK1(relation_composition(sK11,sK12))
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f570,f288]) ).
fof(f585,plain,
( sK0(relation_composition(sK11,sK12)) != sK0(relation_composition(sK11,sK12))
| one_to_one(relation_composition(sK11,sK12))
| ~ relation(relation_composition(sK11,sK12))
| ~ function(relation_composition(sK11,sK12))
| ~ spl13_13 ),
inference(superposition,[],[f96,f572]) ).
fof(f587,plain,
( one_to_one(relation_composition(sK11,sK12))
| ~ relation(relation_composition(sK11,sK12))
| ~ function(relation_composition(sK11,sK12))
| ~ spl13_13 ),
inference(trivial_inequality_removal,[],[f585]) ).
fof(f588,plain,
( ~ relation(relation_composition(sK11,sK12))
| ~ function(relation_composition(sK11,sK12))
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f587,f141]) ).
fof(f589,plain,
( ~ function(relation_composition(sK11,sK12))
| ~ spl13_7
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f588,f360]) ).
fof(f590,plain,
( $false
| ~ spl13_6
| ~ spl13_7
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f589,f356]) ).
fof(f591,plain,
( ~ spl13_6
| ~ spl13_7
| ~ spl13_13 ),
inference(avatar_contradiction_clause,[],[f590]) ).
cnf(s7,plain,
spl13_6,
inference(sat_conversion,[],[f381]) ).
cnf(s9,plain,
( ~ spl13_6
| ~ spl13_7
| spl13_13 ),
inference(sat_conversion,[],[f401]) ).
cnf(s11,plain,
spl13_7,
inference(sat_conversion,[],[f410]) ).
cnf(s17,plain,
( ~ spl13_6
| ~ spl13_7
| ~ spl13_13 ),
inference(sat_conversion,[],[f591]) ).
cnf(s19,plain,
( ~ spl13_6
| spl13_13 ),
inference(rat,[],[s9,s11]) ).
cnf(s21,plain,
~ spl13_13,
inference(rat,[],[s17,s11,s7]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s19,s21,s7]) ).
fof(f592,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU013+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.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 03:25:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 2.77/1.26 % (2229059)Detected formulas, will run a generic FOF schedule.
% 2.77/1.26 % (2229068)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3815717974:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.77/1.26 % (2229070)dis-21_1_sil=8000:lcm=predicate:random_seed=982900477: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)
% 2.77/1.26 % (2229066)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=2645426182:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.77/1.26 % (2229067)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3985936340:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.77/1.26 % (2229065)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=265639305:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.77/1.26 % (2229064)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=10685609:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.77/1.26 % (2229068)Instruction limit reached!
% 2.77/1.26 % (2229068)------------------------------
% 2.77/1.26 % (2229068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.26 % (2229068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.26 % (2229068)CaDiCaL version: 2.1.3
% 2.77/1.26 % (2229068)Termination reason: Instruction limit
% 2.77/1.26 % (2229068)Termination phase: Saturation
% 2.77/1.26 % (2229068)Time elapsed: 0.035 s
% 2.77/1.26 % (2229068)Peak memory usage: 88 MB
% 2.77/1.26 % (2229068)Instructions burned: 120 (million)
% 2.77/1.26 % (2229067)Refutation not found, incomplete strategy
% 2.77/1.26 % (2229067)------------------------------
% 2.77/1.26 % (2229067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.26 % (2229067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.26 % (2229067)CaDiCaL version: 2.1.3
% 2.77/1.26 % (2229067)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.26 % (2229067)Time elapsed: 0.002 s
% 2.77/1.26 % (2229067)Peak memory usage: 88 MB
% 2.77/1.26 % (2229067)Instructions burned: 1 (million)
% 2.77/1.26 % (2229069)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2373152224:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.77/1.26 % (2229069)First to succeed.
% 2.77/1.26 % (2229069)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2229059"
% 2.77/1.26 % (2229070)Instruction limit reached!
% 2.77/1.26 % (2229070)------------------------------
% 2.77/1.26 % (2229070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.26 % (2229070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.26 % (2229070)CaDiCaL version: 2.1.3
% 2.77/1.26 % (2229070)Termination reason: Instruction limit
% 2.77/1.26 % (2229070)Termination phase: Saturation
% 2.77/1.26 % (2229070)Time elapsed: 0.082 s
% 2.77/1.26 % (2229070)Peak memory usage: 90 MB
% 2.77/1.26 % (2229070)Instructions burned: 130 (million)
% 2.77/1.26 % (2229078)lrs+10_1_sil=8000:sp=occurrence:random_seed=1703449482:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.77/1.26 % (2229078)Instruction limit reached!
% 2.77/1.26 % (2229078)------------------------------
% 2.77/1.26 % (2229078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.26 % (2229078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.26 % (2229078)CaDiCaL version: 2.1.3
% 2.77/1.26 % (2229078)Termination reason: Instruction limit
% 2.77/1.26 % (2229078)Termination phase: Saturation
% 2.77/1.26 % (2229078)Time elapsed: 0.086 s
% 2.77/1.26 % (2229078)Peak memory usage: 91 MB
% 2.77/1.26 % (2229078)Instructions burned: 286 (million)
% 2.77/1.26 % (2229079)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3863845439:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.77/1.26 % (2229067)------------------------------
% 2.77/1.26 % (2229067)------------------------------
% 2.77/1.26 % (2229081)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2317942227:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 2.77/1.26 % (2229069)Refutation found. Thanks to Tanya!
% 2.77/1.26 % SZS status Theorem for theBenchmark
% 2.77/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.43 % (2229069)------------------------------
% 3.59/1.43 % (2229069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.43 % (2229069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.43 % (2229069)CaDiCaL version: 2.1.3
% 3.59/1.43 % (2229069)Termination reason: Refutation
% 3.59/1.43 % (2229069)Time elapsed: 0.021 s
% 3.59/1.43 % (2229069)Peak memory usage: 89 MB
% 3.59/1.43 % (2229069)Instructions burned: 26 (million)
% 3.59/1.43 % (2229069)------------------------------
% 3.59/1.43 % (2229069)------------------------------
% 3.59/1.43 % (2229059)Success in time 0.426 s
% 3.59/1.43 % Vampire exiting
%------------------------------------------------------------------------------