%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET716+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:41:43 PM UTC 2026
% Result : Theorem 4.08s 1.25s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 60 ( 24 unt; 0 def)
% Number of atoms : 264 ( 22 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 312 ( 108 ~; 105 |; 76 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 218 ( 192 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X2)
& member(X6,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X4,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X2,X3)
& maps(X1,X3,X4)
& injective(X0,X2,X3)
& injective(X1,X3,X4) )
=> injective(compose_function(X1,X0,X2,X3,X4),X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII07) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X2,X3)
& maps(X1,X3,X4)
& injective(X0,X2,X3)
& injective(X1,X3,X4) )
=> injective(compose_function(X1,X0,X2,X3,X4),X2,X4) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f33,plain,
? [X0,X1,X2,X3,X4] :
( ~ injective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X0,X2,X3)
& maps(X1,X3,X4)
& injective(X0,X2,X3)
& injective(X1,X3,X4) ),
inference(ennf_transformation,[],[f30]) ).
fof(f34,plain,
? [X0,X1,X2,X3,X4] :
( ~ injective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X0,X2,X3)
& maps(X1,X3,X4)
& injective(X0,X2,X3)
& injective(X1,X3,X4) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f38,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) ) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(ennf_transformation,[],[f14]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
( ~ injective(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)
& maps(sK0,sK2,sK3)
& maps(sK1,sK3,sK4)
& injective(sK0,sK2,sK3)
& injective(sK1,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f34]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK5(X0,X2,X3),X2)
& apply(X0,X3,sK5(X0,X2,X3)) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X0,X2,X3))],[f36]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X3,X5)
& apply(X0,X4,X5)
& member(X3,X1)
& member(X4,X1)
& member(X5,X2) ) )
& ( ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X3,X5)
& apply(X0,X4,X5)
& member(X3,X1)
& member(X4,X1)
& member(X5,X2) ) )
& ( ! [X6,X7,X8] :
( X6 = X7
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ( sK6(X0,X1,X2) != sK7(X0,X1,X2)
& apply(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
& apply(X0,sK7(X0,X1,X2),sK8(X0,X1,X2))
& member(sK6(X0,X1,X2),X1)
& member(sK7(X0,X1,X2),X1)
& member(sK8(X0,X1,X2),X2) ) )
& ( ! [X6,X7,X8] :
( X6 = X7
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2)),skolemize(X5,sK8(X0,X1,X2))],[f44]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(nnf_transformation,[],[f40]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X8] :
( member(X8,X3)
& apply(X1,X5,X8)
& apply(X0,X8,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ( member(sK9(X0,X1,X3,X5,X6),X3)
& apply(X1,X5,sK9(X0,X1,X3,X5,X6))
& apply(X0,sK9(X0,X1,X3,X5,X6),X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X8,sK9(X0,X1,X3,X5,X6))],[f47]) ).
fof(f49,plain,
injective(sK1,sK3,sK4),
inference(cnf_transformation,[],[f41]) ).
fof(f50,plain,
injective(sK0,sK2,sK3),
inference(cnf_transformation,[],[f41]) ).
fof(f52,plain,
maps(sK0,sK2,sK3),
inference(cnf_transformation,[],[f41]) ).
fof(f53,plain,
~ injective(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),
inference(cnf_transformation,[],[f41]) ).
fof(f54,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK5(X0,X2,X3)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK5(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f57,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ injective(X0,X1,X2)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2)
| X6 = X7 ),
inference(cnf_transformation,[],[f45]) ).
fof(f58,plain,
! [X2,X0,X1] :
( member(sK8(X0,X1,X2),X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f59,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f60,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f61,plain,
! [X2,X0,X1] :
( apply(X0,sK7(X0,X1,X2),sK8(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f62,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f63,plain,
! [X2,X0,X1] :
( sK6(X0,X1,X2) != sK7(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK9(X0,X1,X3,X5,X6),X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f48]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X1,X5,sK9(X0,X1,X3,X5,X6))
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f48]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK9(X0,X1,X3,X5,X6),X3)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f48]) ).
fof(f68,plain,
member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK4),
inference(unit_resulting_resolution,[],[f58,f53]) ).
fof(f69,plain,
member(sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK2),
inference(unit_resulting_resolution,[],[f59,f53]) ).
fof(f70,plain,
member(sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK2),
inference(unit_resulting_resolution,[],[f60,f53]) ).
fof(f72,plain,
member(sK5(sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),sK3),
inference(unit_resulting_resolution,[],[f56,f52,f70]) ).
fof(f74,plain,
sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4) != sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),
inference(unit_resulting_resolution,[],[f63,f53]) ).
fof(f78,plain,
apply(sK0,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK5(sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4))),
inference(unit_resulting_resolution,[],[f55,f52,f70]) ).
fof(f80,plain,
apply(compose_function(sK1,sK0,sK2,sK3,sK4),sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),
inference(unit_resulting_resolution,[],[f61,f53]) ).
fof(f81,plain,
apply(compose_function(sK1,sK0,sK2,sK3,sK4),sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),
inference(unit_resulting_resolution,[],[f62,f53]) ).
fof(f91,plain,
apply(sK0,sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK9(sK1,sK0,sK3,sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4))),
inference(unit_resulting_resolution,[],[f65,f68,f69,f80]) ).
fof(f92,plain,
apply(sK1,sK9(sK1,sK0,sK3,sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),
inference(unit_resulting_resolution,[],[f64,f68,f69,f80]) ).
fof(f93,plain,
member(sK9(sK1,sK0,sK3,sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),sK3),
inference(unit_resulting_resolution,[],[f66,f68,f69,f80]) ).
fof(f96,plain,
apply(sK0,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK9(sK1,sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4))),
inference(unit_resulting_resolution,[],[f65,f68,f70,f81]) ).
fof(f97,plain,
apply(sK1,sK9(sK1,sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),
inference(unit_resulting_resolution,[],[f64,f68,f70,f81]) ).
fof(f98,plain,
member(sK9(sK1,sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),sK3),
inference(unit_resulting_resolution,[],[f66,f68,f70,f81]) ).
fof(f103,plain,
~ apply(sK0,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK9(sK1,sK0,sK3,sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4))),
inference(unit_resulting_resolution,[],[f57,f50,f70,f74,f69,f93,f91]) ).
fof(f120,plain,
sK5(sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)) = sK9(sK1,sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),
inference(unit_resulting_resolution,[],[f54,f52,f70,f72,f78,f98,f96]) ).
fof(f130,plain,
sK9(sK1,sK0,sK3,sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)) = sK9(sK1,sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),
inference(unit_resulting_resolution,[],[f57,f49,f68,f93,f92,f98,f97]) ).
fof(f136,plain,
sK5(sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)) = sK9(sK1,sK0,sK3,sK7(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)),
inference(forward_demodulation,[],[f130,f120]) ).
fof(f189,plain,
~ apply(sK0,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),sK5(sK0,sK3,sK6(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4))),
inference(superposition,[],[f103,f136]) ).
fof(f191,plain,
$false,
inference(forward_subsumption_resolution,[],[f189,f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET716+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.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 02:37:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.08/1.25 % (4101612)Detected formulas, will run a generic FOF schedule.
% 4.08/1.25 % (4101622)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=559430329:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.08/1.25 % (4101621)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2260782347:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.08/1.25 % (4101618)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=3047973699:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.08/1.25 % (4101623)dis-21_1_sil=8000:lcm=predicate:random_seed=2323139966: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)
% 4.08/1.25 % (4101619)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=2314209008:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.08/1.25 % (4101620)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2278903984:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.08/1.25 % (4101617)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=2451386830:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.08/1.25 % (4101620)Refutation not found, incomplete strategy
% 4.08/1.25 % (4101620)------------------------------
% 4.08/1.25 % (4101620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.25 % (4101620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.25 % (4101620)CaDiCaL version: 2.1.3
% 4.08/1.25 % (4101620)Termination reason: Refutation not found, incomplete strategy
% 4.08/1.25 % (4101620)Time elapsed: 0.007 s
% 4.08/1.25 % (4101620)Peak memory usage: 88 MB
% 4.08/1.25 % (4101620)Instructions burned: 10 (million)
% 4.08/1.25 % (4101621)Instruction limit reached!
% 4.08/1.25 % (4101621)------------------------------
% 4.08/1.25 % (4101621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.25 % (4101621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.25 % (4101621)CaDiCaL version: 2.1.3
% 4.08/1.25 % (4101621)Termination reason: Instruction limit
% 4.08/1.25 % (4101621)Termination phase: Saturation
% 4.08/1.25 % (4101621)Time elapsed: 0.066 s
% 4.08/1.25 % (4101621)Peak memory usage: 88 MB
% 4.08/1.25 % (4101621)Instructions burned: 121 (million)
% 4.08/1.25 % (4101623)Instruction limit reached!
% 4.08/1.25 % (4101623)------------------------------
% 4.08/1.25 % (4101623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.25 % (4101623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.25 % (4101623)CaDiCaL version: 2.1.3
% 4.08/1.25 % (4101623)Termination reason: Instruction limit
% 4.08/1.25 % (4101623)Termination phase: Saturation
% 4.08/1.25 % (4101623)Time elapsed: 0.076 s
% 4.08/1.25 % (4101623)Peak memory usage: 89 MB
% 4.08/1.25 % (4101623)Instructions burned: 129 (million)
% 4.08/1.25 % (4101622)Instruction limit reached!
% 4.08/1.25 % (4101622)------------------------------
% 4.08/1.25 % (4101622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.25 % (4101622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.25 % (4101622)CaDiCaL version: 2.1.3
% 4.08/1.25 % (4101622)Termination reason: Instruction limit
% 4.08/1.25 % (4101622)Termination phase: Saturation
% 4.08/1.25 % (4101622)Time elapsed: 0.093 s
% 4.08/1.25 % (4101622)Peak memory usage: 89 MB
% 4.08/1.25 % (4101622)Instructions burned: 139 (million)
% 4.08/1.25 % (4101633)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1735494068:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.08/1.25 % (4101632)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1997205107:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.08/1.25 % (4101631)lrs+10_1_sil=8000:sp=occurrence:random_seed=4137743424:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.08/1.25 % (4101632)First to succeed.
% 4.08/1.25 % (4101632)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4101612"
% 4.08/1.25 % (4101620)------------------------------
% 4.08/1.25 % (4101620)------------------------------
% 4.08/1.25 % (4101633)Instruction limit reached!
% 4.08/1.25 % (4101633)------------------------------
% 4.08/1.25 % (4101633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.25 % (4101633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.25 % (4101633)CaDiCaL version: 2.1.3
% 4.08/1.25 % (4101633)Termination reason: Instruction limit
% 4.08/1.25 % (4101633)Termination phase: Saturation
% 4.08/1.25 % (4101633)Time elapsed: 0.120 s
% 4.08/1.25 % (4101633)Peak memory usage: 93 MB
% 4.08/1.25 % (4101633)Instructions burned: 327 (million)
% 4.08/1.25 % (4101631)Instruction limit reached!
% 4.08/1.25 % (4101631)------------------------------
% 4.08/1.25 % (4101631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.25 % (4101631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.25 % (4101631)CaDiCaL version: 2.1.3
% 4.08/1.25 % (4101631)Termination reason: Instruction limit
% 4.08/1.25 % (4101631)Termination phase: Saturation
% 4.08/1.25 % (4101631)Time elapsed: 0.163 s
% 4.08/1.25 % (4101631)Peak memory usage: 92 MB
% 4.08/1.25 % (4101631)Instructions burned: 285 (million)
% 4.08/1.25 % (4101637)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=1971994509:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.08/1.25 % (4101638)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=149721041:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.08/1.25 % (4101637)Also succeeded, but the first one will report.
% 4.08/1.25 % (4101632)Refutation found. Thanks to Tanya!
% 4.08/1.25 % SZS status Theorem for theBenchmark
% 4.08/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 4.92/1.45 % (4101632)------------------------------
% 4.92/1.45 % (4101632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.45 % (4101632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.45 % (4101632)CaDiCaL version: 2.1.3
% 4.92/1.45 % (4101632)Termination reason: Refutation
% 4.92/1.45 % (4101632)Time elapsed: 0.012 s
% 4.92/1.45 % (4101632)Peak memory usage: 89 MB
% 4.92/1.45 % (4101632)Instructions burned: 20 (million)
% 4.92/1.45 % (4101632)------------------------------
% 4.92/1.45 % (4101632)------------------------------
% 4.92/1.45 % (4101612)Success in time 0.644 s
% 4.92/1.45 % Vampire exiting
%------------------------------------------------------------------------------