%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 12:47:08 PM UTC 2026
% Result : Theorem 3.04s 1.46s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 61 ( 20 unt; 2 def)
% Number of atoms : 293 ( 53 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 362 ( 130 ~; 130 |; 74 &)
% ( 14 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 135 ( 121 !; 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(f37,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(f38,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f39,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f38]) ).
fof(f40,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,[],[f37]) ).
fof(f41,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,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f43,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f6]) ).
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(f51,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(f52,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(f53,plain,
! [X0,X1] :
( ! [X2] :
( sP1(X1,X0,X2)
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(definition_folding,[],[f41,f52,f51]) ).
fof(f54,plain,
( ~ one_to_one(relation_rng_restriction(sK2,sK3))
& one_to_one(sK3)
& relation(sK3)
& function(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f39]) ).
fof(f55,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,[],[f52]) ).
fof(f56,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,[],[f55]) ).
fof(f57,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,[],[f51]) ).
fof(f58,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,[],[f57]) ).
fof(f59,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,[],[f58]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(sK4(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK4(X0,X1,X2)),X1)
| ~ in(sK4(X0,X1,X2),relation_dom(X2)) )
& ( ( in(sK4(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK4(X0,X1,X2)),X1) )
| in(sK4(X0,X1,X2),relation_dom(X2)) ) )
| ( apply(X2,sK5(X0,X2)) != apply(X0,sK5(X0,X2))
& in(sK5(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,[sK4,sK5]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X2))],[f59]) ).
fof(f66,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(f67,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,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK11(X0) != sK12(X0)
& in(sK11(X0),relation_dom(X0))
& in(sK12(X0),relation_dom(X0))
& apply(X0,sK11(X0)) = apply(X0,sK12(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,[sK11,sK12]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0))],[f67]) ).
fof(f69,plain,
function(sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f70,plain,
relation(sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f71,plain,
one_to_one(sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f72,plain,
~ one_to_one(relation_rng_restriction(sK2,sK3)),
inference(cnf_transformation,[],[f54]) ).
fof(f73,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| relation_rng_restriction(X1,X2) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f75,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0,X1,X2)
| ~ in(X6,relation_dom(X2))
| apply(X0,X6) = apply(X2,X6) ),
inference(cnf_transformation,[],[f60]) ).
fof(f77,plain,
! [X2,X0,X1,X5] :
( ~ sP0(X0,X1,X2)
| ~ in(X5,relation_dom(X2))
| in(X5,relation_dom(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f85,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f86,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f103,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,[],[f68]) ).
fof(f104,plain,
! [X0] :
( ~ relation(X0)
| apply(X0,sK11(X0)) = apply(X0,sK12(X0))
| one_to_one(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f105,plain,
! [X0] :
( in(sK12(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f106,plain,
! [X0] :
( in(sK11(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f107,plain,
! [X0] :
( sK11(X0) != sK12(X0)
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f111,plain,
! [X2,X1] :
( ~ sP1(relation_rng_restriction(X1,X2),X1,X2)
| sP0(X2,X1,relation_rng_restriction(X1,X2)) ),
inference(equality_resolution,[],[f73]) ).
fof(f116,plain,
! [X0] : relation(relation_rng_restriction(X0,sK3)),
inference(unit_resulting_resolution,[],[f88,f70]) ).
fof(f123,plain,
! [X0] : function(relation_rng_restriction(X0,sK3)),
inference(unit_resulting_resolution,[],[f86,f69,f70]) ).
fof(f132,plain,
in(sK12(relation_rng_restriction(sK2,sK3)),relation_dom(relation_rng_restriction(sK2,sK3))),
inference(unit_resulting_resolution,[],[f105,f123,f116,f72]) ).
fof(f134,plain,
in(sK11(relation_rng_restriction(sK2,sK3)),relation_dom(relation_rng_restriction(sK2,sK3))),
inference(unit_resulting_resolution,[],[f106,f123,f116,f72]) ).
fof(f136,plain,
sK12(relation_rng_restriction(sK2,sK3)) != sK11(relation_rng_restriction(sK2,sK3)),
inference(unit_resulting_resolution,[],[f107,f123,f116,f72]) ).
fof(f163,plain,
! [X0,X1] : sP1(relation_rng_restriction(X0,sK3),X1,sK3),
inference(unit_resulting_resolution,[],[f85,f123,f116,f69,f70]) ).
fof(f203,plain,
apply(relation_rng_restriction(sK2,sK3),sK11(relation_rng_restriction(sK2,sK3))) = apply(relation_rng_restriction(sK2,sK3),sK12(relation_rng_restriction(sK2,sK3))),
inference(unit_resulting_resolution,[],[f104,f123,f72,f116]) ).
fof(f213,plain,
! [X0] : sP0(sK3,X0,relation_rng_restriction(X0,sK3)),
inference(unit_resulting_resolution,[],[f111,f163]) ).
fof(f283,plain,
apply(relation_rng_restriction(sK2,sK3),sK12(relation_rng_restriction(sK2,sK3))) = apply(sK3,sK12(relation_rng_restriction(sK2,sK3))),
inference(unit_resulting_resolution,[],[f75,f213,f132]) ).
fof(f285,plain,
in(sK12(relation_rng_restriction(sK2,sK3)),relation_dom(sK3)),
inference(unit_resulting_resolution,[],[f77,f213,f132]) ).
fof(f286,plain,
apply(relation_rng_restriction(sK2,sK3),sK11(relation_rng_restriction(sK2,sK3))) = apply(sK3,sK11(relation_rng_restriction(sK2,sK3))),
inference(unit_resulting_resolution,[],[f75,f213,f134]) ).
fof(f288,plain,
in(sK11(relation_rng_restriction(sK2,sK3)),relation_dom(sK3)),
inference(unit_resulting_resolution,[],[f77,f213,f134]) ).
fof(f289,plain,
apply(sK3,sK12(relation_rng_restriction(sK2,sK3))) != apply(sK3,sK11(relation_rng_restriction(sK2,sK3))),
inference(unit_resulting_resolution,[],[f103,f69,f70,f71,f285,f288,f136]) ).
fof(f721,plain,
apply(relation_rng_restriction(sK2,sK3),sK11(relation_rng_restriction(sK2,sK3))) = apply(sK3,sK12(relation_rng_restriction(sK2,sK3))),
inference(superposition,[],[f203,f283]) ).
fof(f726,plain,
apply(sK3,sK12(relation_rng_restriction(sK2,sK3))) = apply(sK3,sK11(relation_rng_restriction(sK2,sK3))),
inference(forward_demodulation,[],[f721,f286]) ).
fof(f728,plain,
$false,
inference(forward_subsumption_resolution,[],[f726,f289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU048+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:33:26 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 3.04/1.46 % (4180679)Detected formulas, will run a generic FOF schedule.
% 3.04/1.46 % (4180699)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3508101468:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.04/1.46 % (4180699)Refutation not found, incomplete strategy
% 3.04/1.46 % (4180699)------------------------------
% 3.04/1.46 % (4180699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.46 % (4180699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.46 % (4180699)CaDiCaL version: 2.1.3
% 3.04/1.46 % (4180699)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.46 % (4180699)Time elapsed: 0.001 s
% 3.04/1.46 % (4180699)Peak memory usage: 88 MB
% 3.04/1.46 % (4180701)dis-21_1_sil=8000:lcm=predicate:random_seed=1362541609: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)
% 3.04/1.46 % (4180695)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=1084794450:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.04/1.46 % (4180696)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=3585986301:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.04/1.46 % (4180697)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=508915951:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.04/1.46 % (4180698)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2848776116:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.04/1.46 % (4180698)Refutation not found, incomplete strategy
% 3.04/1.46 % (4180698)------------------------------
% 3.04/1.46 % (4180698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.46 % (4180698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.46 % (4180698)CaDiCaL version: 2.1.3
% 3.04/1.46 % (4180698)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.46 % (4180698)Time elapsed: 0.001 s
% 3.04/1.46 % (4180698)Peak memory usage: 88 MB
% 3.04/1.46 % (4180698)Instructions burned: 1 (million)
% 3.04/1.46 % (4180700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=832070898:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.04/1.46 % (4180701)Instruction limit reached!
% 3.04/1.46 % (4180701)------------------------------
% 3.04/1.46 % (4180701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.46 % (4180701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.46 % (4180701)CaDiCaL version: 2.1.3
% 3.04/1.46 % (4180701)Termination reason: Instruction limit
% 3.04/1.46 % (4180701)Termination phase: Saturation
% 3.04/1.46 % (4180701)Time elapsed: 0.077 s
% 3.04/1.46 % (4180701)Peak memory usage: 89 MB
% 3.04/1.46 % (4180701)Instructions burned: 130 (million)
% 3.04/1.46 % (4180699)------------------------------
% 3.04/1.46 % (4180699)------------------------------
% 3.04/1.46 % (4180700)Instruction limit reached!
% 3.04/1.46 % (4180700)------------------------------
% 3.04/1.46 % (4180700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.46 % (4180700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.46 % (4180700)CaDiCaL version: 2.1.3
% 3.04/1.46 % (4180700)Termination reason: Instruction limit
% 3.04/1.46 % (4180700)Termination phase: Saturation
% 3.04/1.46 % (4180700)Time elapsed: 0.095 s
% 3.04/1.46 % (4180700)Peak memory usage: 89 MB
% 3.04/1.46 % (4180700)Instructions burned: 140 (million)
% 3.04/1.46 % (4180749)lrs+10_1_sil=32000:urr=on:br=off:random_seed=936349643:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.04/1.46 % (4180734)lrs+10_1_sil=8000:sp=occurrence:random_seed=1816717430:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.04/1.46 % (4180749)First to succeed.
% 3.04/1.46 % (4180749)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4180679"
% 3.04/1.46 % (4180698)------------------------------
% 3.04/1.46 % (4180698)------------------------------
% 3.04/1.46 % (4180750)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2071140556:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.04/1.46 % (4180750)Also succeeded, but the first one will report.
% 3.04/1.46 % (4180749)Refutation found. Thanks to Tanya!
% 3.04/1.46 % SZS status Theorem for theBenchmark
% 3.04/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.56 % (4180749)------------------------------
% 4.27/1.56 % (4180749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.56 % (4180749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.56 % (4180749)CaDiCaL version: 2.1.3
% 4.27/1.56 % (4180749)Termination reason: Refutation
% 4.27/1.56 % (4180749)Time elapsed: 0.020 s
% 4.27/1.56 % (4180749)Peak memory usage: 89 MB
% 4.27/1.56 % (4180749)Instructions burned: 62 (million)
% 4.27/1.56 % (4180749)------------------------------
% 4.27/1.56 % (4180749)------------------------------
% 4.27/1.56 % (4180679)Success in time 0.512 s
% 4.27/1.56 % Vampire exiting
%------------------------------------------------------------------------------